1bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant//===----------------------------------------------------------------------===// 2bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// 3f5256e16dfc425c1d466f6308d4026d529ce9e0bHoward Hinnant// The LLVM Compiler Infrastructure 4bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// 5b64f8b07c104c6cc986570ac8ee0ed16a9f23976Howard Hinnant// This file is dual licensed under the MIT and the University of Illinois Open 6b64f8b07c104c6cc986570ac8ee0ed16a9f23976Howard Hinnant// Source Licenses. See LICENSE.TXT for details. 7bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// 8bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant//===----------------------------------------------------------------------===// 9bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 10bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// <complex> 11bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 12bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// template<class T> 13bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// complex<T> 14bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant// asin(const complex<T>& x); 15bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 16bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant#include <complex> 17bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant#include <cassert> 18bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 19bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant#include "../cases.h" 20bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 21bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnanttemplate <class T> 22bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnantvoid 23bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnanttest(const std::complex<T>& c, std::complex<T> x) 24bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant{ 25bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(asin(c) == x); 26bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant} 27bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 28bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnanttemplate <class T> 29bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnantvoid 30bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnanttest() 31bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant{ 32bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant test(std::complex<T>(0, 0), std::complex<T>(0, 0)); 33bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant} 34bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 35bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnantvoid test_edges() 36bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant{ 37bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant typedef std::complex<double> C; 38bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant const double pi = std::atan2(+0., -0.); 39bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant const unsigned N = sizeof(x) / sizeof(x[0]); 40bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant for (unsigned i = 0; i < N; ++i) 41bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 42bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant std::complex<double> r = asin(x[i]); 43bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant if (x[i].real() == 0 && x[i].imag() == 0) 44bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 45bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(r.real()) == std::signbit(x[i].real())); 46bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(r.imag()) == std::signbit(x[i].imag())); 47bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 48bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isfinite(x[i].real()) && std::isinf(x[i].imag())) 49bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 50bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(r.real() == 0); 51bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].real()) == std::signbit(r.real())); 52bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isinf(r.imag())); 53bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].imag()) == std::signbit(r.imag())); 54bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 55bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if ( x[i].real() == 0 && std::isnan(x[i].imag())) 56bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 57bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(r.real() == 0); 58bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].real()) == std::signbit(r.real())); 59bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.imag())); 60bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 61bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isfinite(x[i].real()) && std::isnan(x[i].imag())) 62bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 63bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.real())); 64bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.imag())); 65bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 66bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isinf(x[i].real()) && std::isfinite(x[i].imag())) 67bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 68bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant if (x[i].real() > 0) 69bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant is_about(r.real(), pi/2); 70bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else 71bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant is_about(r.real(), - pi/2); 72bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isinf(r.imag())); 73bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].imag()) == std::signbit(r.imag())); 74bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 75bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isinf(x[i].real()) && std::isinf(x[i].imag())) 76bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 77bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant if (std::signbit(x[i].real())) 78bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant is_about(r.real(), -pi/4); 79bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else 80bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant is_about(r.real(), pi/4); 81bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isinf(r.imag())); 82bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].imag()) == std::signbit(r.imag())); 83bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 84bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isinf(x[i].real()) && std::isnan(x[i].imag())) 85bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 86bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.real())); 87bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isinf(r.imag())); 88bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].real()) != std::signbit(r.imag())); 89bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 90bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isnan(x[i].real()) && std::isfinite(x[i].imag())) 91bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 92bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.real())); 93bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.imag())); 94bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(x[i].imag()) == std::signbit(r.imag())); 95bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 96bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isnan(x[i].real()) && std::isinf(x[i].imag())) 97bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 98bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.real())); 99bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isinf(r.imag())); 100bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 101bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else if (std::isnan(x[i].real()) && std::isnan(x[i].imag())) 102bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 103bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.real())); 104bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::isnan(r.imag())); 105bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 106bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant else 107bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant { 108bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(r.real()) == std::signbit(x[i].real())); 109bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant assert(std::signbit(r.imag()) == std::signbit(x[i].imag())); 110bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 111bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant } 112bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant} 113bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant 114bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnantint main() 115bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant{ 116bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant test<float>(); 117bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant test<double>(); 118bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant test<long double>(); 119bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant test_edges(); 120bc8d3f97eb5c958007f2713238472e0c1c8fe02Howard Hinnant} 121