libcxx/test/std/numerics/complex.number/complex.transcendentals/acosh.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 //   acosh(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(acosh(c) == x);
  26 }
  27
  28 template <class T>
  29 void
  30 test()
  31 {
  32     test(std::complex<T>(INFINITY, 1), std::complex<T>(INFINITY, 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 = acosh(testcases[i]);
  42         if (testcases[i].real() == 0 && testcases[i].imag() == 0)
  43         {
  44             assert(!std::signbit(r.real()));
  45             if (std::signbit(testcases[i].imag()))
  46                 is_about(r.imag(), -pi/2);
  47             else
  48                 is_about(r.imag(),  pi/2);
  49         }
  50         else if (testcases[i].real() == 1 && testcases[i].imag() == 0)
  51         {
  52             assert(r.real() == 0);
  53             assert(!std::signbit(r.real()));
  54             assert(r.imag() == 0);
  55             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
  56         }
  57         else if (testcases[i].real() == -1 && testcases[i].imag() == 0)
  58         {
  59             assert(r.real() == 0);
  60             assert(!std::signbit(r.real()));
  61             if (std::signbit(testcases[i].imag()))
  62                 is_about(r.imag(), -pi);
  63             else
  64                 is_about(r.imag(),  pi);
  65         }
  66         else if (std::isfinite(testcases[i].real()) && std::isinf(testcases[i].imag()))
  67         {
  68             assert(std::isinf(r.real()));
  69             assert(r.real() > 0);
  70             if (std::signbit(testcases[i].imag()))
  71                 is_about(r.imag(), -pi/2);
  72             else
  73                 is_about(r.imag(),  pi/2);
  74         }
  75         else if (std::isfinite(testcases[i].real()) && std::isnan(testcases[i].imag()))
  76         {
  77             assert(std::isnan(r.real()));
  78             assert(std::isnan(r.imag()));
  79         }
  80         else if (std::isinf(testcases[i].real()) && testcases[i].real() < 0 && std::isfinite(testcases[i].imag()))
  81         {
  82             assert(std::isinf(r.real()));
  83             assert(r.real() > 0);
  84             if (std::signbit(testcases[i].imag()))
  85                 is_about(r.imag(), -pi);
  86             else
  87                 is_about(r.imag(),  pi);
  88         }
  89         else if (std::isinf(testcases[i].real()) && testcases[i].real() > 0 && std::isfinite(testcases[i].imag()))
  90         {
  91             assert(std::isinf(r.real()));
  92             assert(r.real() > 0);
  93             assert(r.imag() == 0);
  94             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
  95         }
  96         else if (std::isinf(testcases[i].real()) && testcases[i].real() < 0 && std::isinf(testcases[i].imag()))
  97         {
  98             assert(std::isinf(r.real()));
  99             assert(r.real() > 0);
 100             if (std::signbit(testcases[i].imag()))
 101                 is_about(r.imag(), -0.75 * pi);
 102             else
 103                 is_about(r.imag(),  0.75 * pi);
 104         }
 105         else if (std::isinf(testcases[i].real()) && testcases[i].real() > 0 && std::isinf(testcases[i].imag()))
 106         {
 107             assert(std::isinf(r.real()));
 108             assert(r.real() > 0);
 109             if (std::signbit(testcases[i].imag()))
 110                 is_about(r.imag(), -0.25 * pi);
 111             else
 112                 is_about(r.imag(),  0.25 * pi);
 113         }
 114         else if (std::isinf(testcases[i].real()) && std::isnan(testcases[i].imag()))
 115         {
 116             assert(std::isinf(r.real()));
 117             assert(r.real() > 0);
 118             assert(std::isnan(r.imag()));
 119         }
 120         else if (std::isnan(testcases[i].real()) && std::isfinite(testcases[i].imag()))
 121         {
 122             assert(std::isnan(r.real()));
 123             assert(std::isnan(r.imag()));
 124         }
 125         else if (std::isnan(testcases[i].real()) && std::isinf(testcases[i].imag()))
 126         {
 127             assert(std::isinf(r.real()));
 128             assert(r.real() > 0);
 129             assert(std::isnan(r.imag()));
 130         }
 131         else if (std::isnan(testcases[i].real()) && std::isnan(testcases[i].imag()))
 132         {
 133             assert(std::isnan(r.real()));
 134             assert(std::isnan(r.imag()));
 135         }
 136         else
 137         {
 138             assert(!std::signbit(r.real()));
 139             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
 140         }
 141     }
 142 }
 143
 144 int main(int, char**)
 145 {
 146     test<float>();
 147     test<double>();
 148     test<long double>();
 149     test_edges();
 150
 151   return 0;
 152 }