| Howard Hinnant | bc8d3f9 | 2010-05-11 19:42:16 +0000 | [diff] [blame] | 1 | //===----------------------------------------------------------------------===// |
| 2 | // |
| Howard Hinnant | f5256e1 | 2010-05-11 21:36:01 +0000 | [diff] [blame] | 3 | // The LLVM Compiler Infrastructure |
| Howard Hinnant | bc8d3f9 | 2010-05-11 19:42:16 +0000 | [diff] [blame] | 4 | // |
| Howard Hinnant | b64f8b0 | 2010-11-16 22:09:02 +0000 | [diff] [blame] | 5 | // This file is dual licensed under the MIT and the University of Illinois Open |
| 6 | // Source Licenses. See LICENSE.TXT for details. |
| Howard Hinnant | bc8d3f9 | 2010-05-11 19:42:16 +0000 | [diff] [blame] | 7 | // |
| 8 | //===----------------------------------------------------------------------===// |
| 9 | |
| 10 | // <complex> |
| 11 | |
| 12 | // template<class T> |
| 13 | // complex<T> |
| 14 | // atanh(const complex<T>& x); |
| 15 | |
| 16 | #include <complex> |
| 17 | #include <cassert> |
| 18 | |
| 19 | #include "../cases.h" |
| 20 | |
| 21 | template <class T> |
| 22 | void |
| 23 | test(const std::complex<T>& c, std::complex<T> x) |
| 24 | { |
| 25 | assert(atanh(c) == x); |
| 26 | } |
| 27 | |
| 28 | template <class T> |
| 29 | void |
| 30 | test() |
| 31 | { |
| 32 | test(std::complex<T>(0, 0), std::complex<T>(0, 0)); |
| 33 | } |
| 34 | |
| 35 | void test_edges() |
| 36 | { |
| 37 | typedef std::complex<double> C; |
| 38 | const double pi = std::atan2(+0., -0.); |
| 39 | const unsigned N = sizeof(x) / sizeof(x[0]); |
| 40 | for (unsigned i = 0; i < N; ++i) |
| 41 | { |
| 42 | std::complex<double> r = atanh(x[i]); |
| 43 | if (x[i].real() == 0 && x[i].imag() == 0) |
| 44 | { |
| 45 | assert(std::signbit(r.real()) == std::signbit(x[i].real())); |
| 46 | assert(std::signbit(r.imag()) == std::signbit(x[i].imag())); |
| 47 | } |
| 48 | else if ( x[i].real() == 0 && std::isnan(x[i].imag())) |
| 49 | { |
| 50 | assert(r.real() == 0); |
| 51 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 52 | assert(std::isnan(r.imag())); |
| 53 | } |
| Marshall Clow | 471f3c6 | 2014-03-06 16:27:17 +0000 | [diff] [blame^] | 54 | else if (std::abs(x[i].real()) == 1 && x[i].imag() == 0) |
| Howard Hinnant | bc8d3f9 | 2010-05-11 19:42:16 +0000 | [diff] [blame] | 55 | { |
| 56 | assert(std::isinf(r.real())); |
| 57 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 58 | assert(r.imag() == 0); |
| 59 | assert(std::signbit(x[i].imag()) == std::signbit(r.imag())); |
| 60 | } |
| 61 | else if (std::isfinite(x[i].real()) && std::isinf(x[i].imag())) |
| 62 | { |
| 63 | assert(r.real() == 0); |
| 64 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 65 | if (x[i].imag() > 0) |
| 66 | is_about(r.imag(), pi/2); |
| 67 | else |
| 68 | is_about(r.imag(), -pi/2); |
| 69 | } |
| 70 | else if (std::isfinite(x[i].real()) && std::isnan(x[i].imag())) |
| 71 | { |
| 72 | assert(std::isnan(r.real())); |
| 73 | assert(std::isnan(r.imag())); |
| 74 | } |
| 75 | else if (std::isinf(x[i].real()) && std::isfinite(x[i].imag())) |
| 76 | { |
| 77 | assert(r.real() == 0); |
| 78 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 79 | if (std::signbit(x[i].imag())) |
| 80 | is_about(r.imag(), -pi/2); |
| 81 | else |
| 82 | is_about(r.imag(), pi/2); |
| 83 | } |
| 84 | else if (std::isinf(x[i].real()) && std::isinf(x[i].imag())) |
| 85 | { |
| 86 | assert(r.real() == 0); |
| 87 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 88 | if (std::signbit(x[i].imag())) |
| 89 | is_about(r.imag(), -pi/2); |
| 90 | else |
| 91 | is_about(r.imag(), pi/2); |
| 92 | } |
| 93 | else if (std::isinf(x[i].real()) && std::isnan(x[i].imag())) |
| 94 | { |
| 95 | assert(r.real() == 0); |
| 96 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 97 | assert(std::isnan(r.imag())); |
| 98 | } |
| 99 | else if (std::isnan(x[i].real()) && std::isfinite(x[i].imag())) |
| 100 | { |
| 101 | assert(std::isnan(r.real())); |
| 102 | assert(std::isnan(r.imag())); |
| 103 | } |
| 104 | else if (std::isnan(x[i].real()) && std::isinf(x[i].imag())) |
| 105 | { |
| 106 | assert(r.real() == 0); |
| 107 | assert(std::signbit(x[i].real()) == std::signbit(r.real())); |
| 108 | if (std::signbit(x[i].imag())) |
| 109 | is_about(r.imag(), -pi/2); |
| 110 | else |
| 111 | is_about(r.imag(), pi/2); |
| 112 | } |
| 113 | else if (std::isnan(x[i].real()) && std::isnan(x[i].imag())) |
| 114 | { |
| 115 | assert(std::isnan(r.real())); |
| 116 | assert(std::isnan(r.imag())); |
| 117 | } |
| 118 | else |
| 119 | { |
| 120 | assert(std::signbit(r.real()) == std::signbit(x[i].real())); |
| 121 | assert(std::signbit(r.imag()) == std::signbit(x[i].imag())); |
| 122 | } |
| 123 | } |
| 124 | } |
| 125 | |
| 126 | int main() |
| 127 | { |
| 128 | test<float>(); |
| 129 | test<double>(); |
| 130 | test<long double>(); |
| 131 | test_edges(); |
| 132 | } |