libcxx/test/std/numerics/complex.number/complex.transcendentals/atanh.pass.cpp

   1 //===----------------------------------------------------------------------===//
   2 //
   3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
   4 // See https://llvm.org/LICENSE.txt for license information.
   5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
   6 //
   7 //===----------------------------------------------------------------------===//
   8
   9 // <complex>
  10
  11 // template<class T>
  12 //   complex<T>
  13 //   atanh(const complex<T>& x);
  14
  15 #include <complex>
  16 #include <cassert>
  17
  18 #include "test_macros.h"
  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     const double pi = std::atan2(+0., -0.);
  38     const unsigned N = sizeof(testcases) / sizeof(testcases[0]);
  39     for (unsigned i = 0; i < N; ++i)
  40     {
  41         std::complex<double> r = atanh(testcases[i]);
  42         if (testcases[i].real() == 0 && testcases[i].imag() == 0)
  43         {
  44             assert(std::signbit(r.real()) == std::signbit(testcases[i].real()));
  45             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
  46         }
  47         else if ( testcases[i].real() == 0 && std::isnan(testcases[i].imag()))
  48         {
  49             assert(r.real() == 0);
  50             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
  51             assert(std::isnan(r.imag()));
  52         }
  53         else if (std::abs(testcases[i].real()) == 1 && testcases[i].imag() == 0)
  54         {
  55             assert(std::isinf(r.real()));
  56             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
  57             assert(r.imag() == 0);
  58             assert(std::signbit(testcases[i].imag()) == std::signbit(r.imag()));
  59         }
  60         else if (std::isfinite(testcases[i].real()) && std::isinf(testcases[i].imag()))
  61         {
  62             assert(r.real() == 0);
  63             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
  64             if (testcases[i].imag() > 0)
  65                 is_about(r.imag(),  pi/2);
  66             else
  67                 is_about(r.imag(), -pi/2);
  68         }
  69         else if (std::isfinite(testcases[i].real()) && std::isnan(testcases[i].imag()))
  70         {
  71             assert(std::isnan(r.real()));
  72             assert(std::isnan(r.imag()));
  73         }
  74         else if (std::isinf(testcases[i].real()) && std::isfinite(testcases[i].imag()))
  75         {
  76             assert(r.real() == 0);
  77             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
  78             if (std::signbit(testcases[i].imag()))
  79                 is_about(r.imag(), -pi/2);
  80             else
  81                 is_about(r.imag(),  pi/2);
  82         }
  83         else if (std::isinf(testcases[i].real()) && std::isinf(testcases[i].imag()))
  84         {
  85             assert(r.real() == 0);
  86             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
  87             if (std::signbit(testcases[i].imag()))
  88                 is_about(r.imag(), -pi/2);
  89             else
  90                 is_about(r.imag(),  pi/2);
  91         }
  92         else if (std::isinf(testcases[i].real()) && std::isnan(testcases[i].imag()))
  93         {
  94             assert(r.real() == 0);
  95             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
  96             assert(std::isnan(r.imag()));
  97         }
  98         else if (std::isnan(testcases[i].real()) && std::isfinite(testcases[i].imag()))
  99         {
 100             assert(std::isnan(r.real()));
 101             assert(std::isnan(r.imag()));
 102         }
 103         else if (std::isnan(testcases[i].real()) && std::isinf(testcases[i].imag()))
 104         {
 105             assert(r.real() == 0);
 106             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
 107             if (std::signbit(testcases[i].imag()))
 108                 is_about(r.imag(), -pi/2);
 109             else
 110                 is_about(r.imag(),  pi/2);
 111         }
 112         else if (std::isnan(testcases[i].real()) && std::isnan(testcases[i].imag()))
 113         {
 114             assert(std::isnan(r.real()));
 115             assert(std::isnan(r.imag()));
 116         }
 117         else
 118         {
 119             assert(std::signbit(r.real()) == std::signbit(testcases[i].real()));
 120             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
 121         }
 122     }
 123 }
 124
 125 int main(int, char**)
 126 {
 127     test<float>();
 128     test<double>();
 129     test<long double>();
 130     test_edges();
 131
 132   return 0;
 133 }