| /* | |
| * Copyright 2008-2013 NVIDIA Corporation | |
| * Copyright 2013 Filipe RNC Maia | |
| * | |
| * Licensed under the Apache License, Version 2.0 (the "License"); | |
| * you may not use this file except in compliance with the License. | |
| * You may obtain a copy of the License at | |
| * | |
| * http://www.apache.org/licenses/LICENSE-2.0 | |
| * | |
| * Unless required by applicable law or agreed to in writing, software | |
| * distributed under the License is distributed on an "AS IS" BASIS, | |
| * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| * See the License for the specific language governing permissions and | |
| * limitations under the License. | |
| */ | |
| /*- | |
| * 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. | |
| */ | |
| /* adapted from FreeBSD: | |
| * lib/msun/src/s_csinh.c | |
| */ | |
| THRUST_NAMESPACE_BEGIN | |
| namespace detail{ | |
| namespace complex{ | |
| using thrust::complex; | |
| __host__ __device__ inline | |
| complex<double> csinh(const complex<double>& z){ | |
| double x, y, h; | |
| uint32_t hx, hy, ix, iy, lx, ly; | |
| const double huge = 8.98846567431157953864652595395e+307; // 0x1p1023; | |
| x = z.real(); | |
| y = z.imag(); | |
| 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 (complex<double>(sinh(x), y)); | |
| if (ix < 0x40360000) /* small x: normal case */ | |
| return (complex<double>(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 (complex<double>(copysign(h, x) * cos(y), h * sin(y))); | |
| } else if (ix < 0x4096bbaa) { | |
| /* x < 1455: scale to avoid overflow */ | |
| complex<double> z_ = ldexp_cexp(complex<double>(fabs(x), y), -1); | |
| return (complex<double>(z_.real() * copysign(1.0, x), z_.imag())); | |
| } else { | |
| /* x >= 1455: the result always overflows */ | |
| h = huge * x; | |
| return (complex<double>(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 (complex<double>(copysign(0.0, 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 (complex<double>(x, y)); | |
| return (complex<double>(x, copysign(0.0, 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 (complex<double>(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 (complex<double>(x * x, x * (y - y))); | |
| return (complex<double>(x * cos(y), infinity<double>() * 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 (complex<double>((x * x) * (y - y), (x + x) * (y - y))); | |
| } | |
| __host__ __device__ inline | |
| complex<double> csin(complex<double> z){ | |
| /* csin(z) = -I * csinh(I * z) */ | |
| z = csinh(complex<double>(-z.imag(), z.real())); | |
| return (complex<double>(z.imag(), -z.real())); | |
| } | |
| } // namespace complex | |
| } // namespace detail | |
| template <typename ValueType> | |
| __host__ __device__ | |
| inline complex<ValueType> sin(const complex<ValueType>& z){ | |
| const ValueType re = z.real(); | |
| const ValueType im = z.imag(); | |
| return complex<ValueType>(std::sin(re) * std::cosh(im), | |
| std::cos(re) * std::sinh(im)); | |
| } | |
| template <typename ValueType> | |
| __host__ __device__ | |
| inline complex<ValueType> sinh(const complex<ValueType>& z){ | |
| const ValueType re = z.real(); | |
| const ValueType im = z.imag(); | |
| return complex<ValueType>(std::sinh(re) * std::cos(im), | |
| std::cosh(re) * std::sin(im)); | |
| } | |
| template <> | |
| __host__ __device__ | |
| inline complex<double> sin(const complex<double>& z){ | |
| return detail::complex::csin(z); | |
| } | |
| template <> | |
| __host__ __device__ | |
| inline complex<double> sinh(const complex<double>& z){ | |
| return detail::complex::csinh(z); | |
| } | |
| THRUST_NAMESPACE_END | |