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105 lines
3.1 KiB
C
105 lines
3.1 KiB
C
/*-
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* SPDX-License-Identifier: BSD-2-Clause
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*
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* Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
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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, this list of conditions and the following 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 AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* src/s_cexp.c converted to long double complex by Steven G. Kargl
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*/
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#include <complex.h>
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#include <float.h>
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#ifdef __i386__
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#include <ieeefp.h>
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#endif
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#include "fpmath.h"
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#include "math.h"
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#include "math_private.h"
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#include "k_expl.h"
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long double complex
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cexpl (long double complex z)
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{
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long double c, exp_x, s, x, y;
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uint64_t lx, ly;
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uint16_t hx, hy;
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ENTERI();
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x = creall(z);
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y = cimagl(z);
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EXTRACT_LDBL80_WORDS(hy, ly, y);
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hy &= 0x7fff;
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/* cexp(x + I 0) = exp(x) + I 0 */
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if ((hy | ly) == 0)
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RETURNI(CMPLXL(expl(x), y));
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EXTRACT_LDBL80_WORDS(hx, lx, x);
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/* cexp(0 + I y) = cos(y) + I sin(y) */
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if (((hx & 0x7fff) | lx) == 0) {
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sincosl(y, &s, &c);
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RETURNI(CMPLXL(c, s));
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}
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if (hy >= 0x7fff) {
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if ((hx & 0x7fff) < 0x7fff || ((hx & 0x7fff) == 0x7fff &&
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(lx & 0x7fffffffffffffffULL) != 0)) {
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/* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
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RETURNI(CMPLXL(y - y, y - y));
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} else if (hx & 0x8000) {
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/* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
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RETURNI(CMPLXL(0.0, 0.0));
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} else {
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/* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
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RETURNI(CMPLXL(x, y - y));
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}
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}
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/*
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* exp_ovfl = 11356.5234062941439497
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* cexp_ovfl = 22755.3287906024445633
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*/
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if ((hx == 0x400c && lx > 0xb17217f7d1cf79acULL) ||
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(hx == 0x400d && lx < 0xb1c6a8573de9768cULL)) {
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/*
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* x is between exp_ovfl and cexp_ovfl, so we must scale to
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* avoid overflow in exp(x).
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*/
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RETURNI(__ldexp_cexpl(z, 0));
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} else {
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/*
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* Cases covered here:
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* - x < exp_ovfl and exp(x) won't overflow (common case)
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* - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
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* - x = +-Inf (generated by exp())
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* - x = NaN (spurious inexact exception from y)
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*/
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exp_x = expl(x);
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sincosl(y, &s, &c);
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RETURNI(CMPLXL(exp_x * c, exp_x * s));
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}
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}
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