libcxx/test/std/numerics/complex.number/complex.transcendentals/acos.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 //   acos(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(acos(c) == x);
  26 }
  27
  28 template <class T>
  29 void
  30 test()
  31 {
  32     test(std::complex<T>(INFINITY, 1), std::complex<T>(0, -INFINITY));
  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 = acos(testcases[i]);
  42         if (testcases[i].real() == 0 && testcases[i].imag() == 0)
  43         {
  44             is_about(r.real(), pi/2);
  45             assert(r.imag() == 0);
  46             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
  47         }
  48         else if (testcases[i].real() == 0 && std::isnan(testcases[i].imag()))
  49         {
  50             is_about(r.real(), pi/2);
  51             assert(std::isnan(r.imag()));
  52         }
  53         else if (std::isfinite(testcases[i].real()) && std::isinf(testcases[i].imag()))
  54         {
  55             is_about(r.real(), pi/2);
  56             assert(std::isinf(r.imag()));
  57             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
  58         }
  59         else if (std::isfinite(testcases[i].real()) && testcases[i].real() != 0 && std::isnan(testcases[i].imag()))
  60         {
  61             assert(std::isnan(r.real()));
  62             assert(std::isnan(r.imag()));
  63         }
  64         else if (std::isinf(testcases[i].real()) && testcases[i].real() < 0 && std::isfinite(testcases[i].imag()))
  65         {
  66             is_about(r.real(), pi);
  67             assert(std::isinf(r.imag()));
  68             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
  69         }
  70         else if (std::isinf(testcases[i].real()) && testcases[i].real() > 0 && std::isfinite(testcases[i].imag()))
  71         {
  72             assert(r.real() == 0);
  73             assert(!std::signbit(r.real()));
  74             assert(std::isinf(r.imag()));
  75             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
  76         }
  77         else if (std::isinf(testcases[i].real()) && testcases[i].real() < 0 && std::isinf(testcases[i].imag()))
  78         {
  79             is_about(r.real(), 0.75 * pi);
  80             assert(std::isinf(r.imag()));
  81             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
  82         }
  83         else if (std::isinf(testcases[i].real()) && testcases[i].real() > 0 && std::isinf(testcases[i].imag()))
  84         {
  85             is_about(r.real(), 0.25 * pi);
  86             assert(std::isinf(r.imag()));
  87             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
  88         }
  89         else if (std::isinf(testcases[i].real()) && std::isnan(testcases[i].imag()))
  90         {
  91             assert(std::isnan(r.real()));
  92             assert(std::isinf(r.imag()));
  93         }
  94         else if (std::isnan(testcases[i].real()) && std::isfinite(testcases[i].imag()))
  95         {
  96             assert(std::isnan(r.real()));
  97             assert(std::isnan(r.imag()));
  98         }
  99         else if (std::isnan(testcases[i].real()) && std::isinf(testcases[i].imag()))
 100         {
 101             assert(std::isnan(r.real()));
 102             assert(std::isinf(r.imag()));
 103             assert(std::signbit(testcases[i].imag()) != std::signbit(r.imag()));
 104         }
 105         else if (std::isnan(testcases[i].real()) && std::isnan(testcases[i].imag()))
 106         {
 107             assert(std::isnan(r.real()));
 108             assert(std::isnan(r.imag()));
 109         }
 110         else if (!std::signbit(testcases[i].real()) && !std::signbit(testcases[i].imag()))
 111         {
 112             assert(!std::signbit(r.real()));
 113             assert( std::signbit(r.imag()));
 114         }
 115         else if (std::signbit(testcases[i].real()) && !std::signbit(testcases[i].imag()))
 116         {
 117             assert(!std::signbit(r.real()));
 118             assert( std::signbit(r.imag()));
 119         }
 120         else if (std::signbit(testcases[i].real()) && std::signbit(testcases[i].imag()))
 121         {
 122             assert(!std::signbit(r.real()));
 123             assert(!std::signbit(r.imag()));
 124         }
 125         else if (!std::signbit(testcases[i].real()) && std::signbit(testcases[i].imag()))
 126         {
 127             assert(!std::signbit(r.real()));
 128             assert(!std::signbit(r.imag()));
 129         }
 130     }
 131 }
 132
 133 int main(int, char**)
 134 {
 135     test<float>();
 136     test<double>();
 137     test<long double>();
 138     test_edges();
 139
 140   return 0;
 141 }