| Index: fusl/src/complex/csinh.c
|
| diff --git a/fusl/src/complex/csinh.c b/fusl/src/complex/csinh.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..0f8035d1ca41f3fc864881eb5ee0b9be36410347
|
| --- /dev/null
|
| +++ b/fusl/src/complex/csinh.c
|
| @@ -0,0 +1,141 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/s_csinh.c */
|
| +/*-
|
| + * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
|
| + * 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 sine of a complex argument z = x + i y.
|
| + *
|
| + * sinh(z) = sinh(x+iy)
|
| + * = sinh(x) cos(y) + i cosh(x) sin(y).
|
| + *
|
| + * Exceptional values are noted in the comments within the source code.
|
| + * These values and the return value were taken from n1124.pdf.
|
| + */
|
| +
|
| +#include "libm.h"
|
| +
|
| +static const double huge = 0x1p1023;
|
| +
|
| +double complex csinh(double complex z)
|
| +{
|
| + double x, y, h;
|
| + int32_t hx, hy, ix, iy, lx, ly;
|
| +
|
| + x = creal(z);
|
| + y = cimag(z);
|
| +
|
| + EXTRACT_WORDS(hx, lx, x);
|
| + EXTRACT_WORDS(hy, ly, y);
|
| +
|
| + ix = 0x7fffffff & hx;
|
| + iy = 0x7fffffff & hy;
|
| +
|
| + /* Handle the nearly-non-exceptional cases where x and y are finite. */
|
| + if (ix < 0x7ff00000 && iy < 0x7ff00000) {
|
| + if ((iy | ly) == 0)
|
| + return CMPLX(sinh(x), y);
|
| + if (ix < 0x40360000) /* small x: normal case */
|
| + return CMPLX(sinh(x) * cos(y), cosh(x) * sin(y));
|
| +
|
| + /* |x| >= 22, so cosh(x) ~= exp(|x|) */
|
| + if (ix < 0x40862e42) {
|
| + /* x < 710: exp(|x|) won't overflow */
|
| + h = exp(fabs(x)) * 0.5;
|
| + return CMPLX(copysign(h, x) * cos(y), h * sin(y));
|
| + } else if (ix < 0x4096bbaa) {
|
| + /* x < 1455: scale to avoid overflow */
|
| + z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
|
| + return CMPLX(creal(z) * copysign(1, x), cimag(z));
|
| + } else {
|
| + /* x >= 1455: the result always overflows */
|
| + h = huge * x;
|
| + return CMPLX(h * cos(y), h * h * sin(y));
|
| + }
|
| + }
|
| +
|
| + /*
|
| + * sinh(+-0 +- I Inf) = sign(d(+-0, dNaN))0 + I dNaN.
|
| + * The sign of 0 in the result is unspecified. Choice = normally
|
| + * the same as dNaN. Raise the invalid floating-point exception.
|
| + *
|
| + * sinh(+-0 +- I NaN) = sign(d(+-0, NaN))0 + I d(NaN).
|
| + * The sign of 0 in the result is unspecified. Choice = normally
|
| + * the same as d(NaN).
|
| + */
|
| + if ((ix | lx) == 0 && iy >= 0x7ff00000)
|
| + return CMPLX(copysign(0, x * (y - y)), y - y);
|
| +
|
| + /*
|
| + * sinh(+-Inf +- I 0) = +-Inf + I +-0.
|
| + *
|
| + * sinh(NaN +- I 0) = d(NaN) + I +-0.
|
| + */
|
| + if ((iy | ly) == 0 && ix >= 0x7ff00000) {
|
| + if (((hx & 0xfffff) | lx) == 0)
|
| + return CMPLX(x, y);
|
| + return CMPLX(x, copysign(0, y));
|
| + }
|
| +
|
| + /*
|
| + * sinh(x +- I Inf) = dNaN + I dNaN.
|
| + * Raise the invalid floating-point exception for finite nonzero x.
|
| + *
|
| + * sinh(x + I NaN) = d(NaN) + I d(NaN).
|
| + * Optionally raises the invalid floating-point exception for finite
|
| + * nonzero x. Choice = don't raise (except for signaling NaNs).
|
| + */
|
| + if (ix < 0x7ff00000 && iy >= 0x7ff00000)
|
| + return CMPLX(y - y, x * (y - y));
|
| +
|
| + /*
|
| + * sinh(+-Inf + I NaN) = +-Inf + I d(NaN).
|
| + * The sign of Inf in the result is unspecified. Choice = normally
|
| + * the same as d(NaN).
|
| + *
|
| + * sinh(+-Inf +- I Inf) = +Inf + I dNaN.
|
| + * The sign of Inf in the result is unspecified. Choice = always +.
|
| + * Raise the invalid floating-point exception.
|
| + *
|
| + * sinh(+-Inf + I y) = +-Inf cos(y) + I Inf sin(y)
|
| + */
|
| + if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
|
| + if (iy >= 0x7ff00000)
|
| + return CMPLX(x * x, x * (y - y));
|
| + return CMPLX(x * cos(y), INFINITY * sin(y));
|
| + }
|
| +
|
| + /*
|
| + * sinh(NaN + I NaN) = d(NaN) + I d(NaN).
|
| + *
|
| + * sinh(NaN +- I Inf) = d(NaN) + I d(NaN).
|
| + * Optionally raises the invalid floating-point exception.
|
| + * Choice = raise.
|
| + *
|
| + * sinh(NaN + I y) = d(NaN) + I d(NaN).
|
| + * Optionally raises the invalid floating-point exception for finite
|
| + * nonzero y. Choice = don't raise (except for signaling NaNs).
|
| + */
|
| + return CMPLX((x * x) * (y - y), (x + x) * (y - y));
|
| +}
|
|
|