/* * 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_ccoshf.c */ #pragma once #include #if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC) # pragma GCC system_header #elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG) # pragma clang system_header #elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC) # pragma system_header #endif // no system header #include #include THRUST_NAMESPACE_BEGIN namespace detail{ namespace complex{ using thrust::complex; __host__ __device__ inline complex ccoshf(const complex& z){ float x, y, h; uint32_t hx, hy, ix, iy; const float huge = 1.70141183460469231731687303716e+38; //0x1p127; x = z.real(); y = z.imag(); get_float_word(hx, x); get_float_word(hy, y); ix = 0x7fffffff & hx; iy = 0x7fffffff & hy; if (ix < 0x7f800000 && iy < 0x7f800000) { if (iy == 0){ return (complex(coshf(x), x * y)); } if (ix < 0x41100000){ /* small x: normal case */ return (complex(coshf(x) * cosf(y), sinhf(x) * sinf(y))); } /* |x| >= 9, so cosh(x) ~= exp(|x|) */ if (ix < 0x42b17218) { /* x < 88.7: expf(|x|) won't overflow */ h = expf(fabsf(x)) * 0.5f; return (complex(h * cosf(y), copysignf(h, x) * sinf(y))); } else if (ix < 0x4340b1e7) { /* x < 192.7: scale to avoid overflow */ thrust::complex z_; z_ = ldexp_cexpf(complex(fabsf(x), y), -1); return (complex(z_.real(), z_.imag() * copysignf(1.0f, x))); } else { /* x >= 192.7: the result always overflows */ h = huge * x; return (complex(h * h * cosf(y), h * sinf(y))); } } if (ix == 0 && iy >= 0x7f800000){ return (complex(y - y, copysignf(0.0f, x * (y - y)))); } if (iy == 0 && ix >= 0x7f800000) { if ((hx & 0x7fffff) == 0) return (complex(x * x, copysignf(0.0f, x) * y)); return (complex(x * x, copysignf(0.0f, (x + x) * y))); } if (ix < 0x7f800000 && iy >= 0x7f800000){ return (complex(y - y, x * (y - y))); } if (ix >= 0x7f800000 && (hx & 0x7fffff) == 0) { if (iy >= 0x7f800000) return (complex(x * x, x * (y - y))); return (complex((x * x) * cosf(y), x * sinf(y))); } return (complex((x * x) * (y - y), (x + x) * (y - y))); } __host__ __device__ inline complex ccosf(const complex& z){ return (ccoshf(complex(-z.imag(), z.real()))); } } // namespace complex } // namespace detail template <> __host__ __device__ inline complex cos(const complex& z){ return detail::complex::ccosf(z); } template <> __host__ __device__ inline complex cosh(const complex& z){ return detail::complex::ccoshf(z); } THRUST_NAMESPACE_END