libcxx/test/std/numerics/complex.number/complex.transcendentals/sqrt.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 //   sqrt(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     std::complex<T> a = sqrt(c);
  26     is_about(real(a), real(x));
  27     assert(std::abs(imag(c)) < 1.e-6);
  28 }
  29
  30 template <class T>
  31 void
  32 test()
  33 {
  34     test(std::complex<T>(64, 0), std::complex<T>(8, 0));
  35 }
  36
  37 void test_edges()
  38 {
  39     const unsigned N = sizeof(testcases) / sizeof(testcases[0]);
  40     for (unsigned i = 0; i < N; ++i)
  41     {
  42         std::complex<double> r = sqrt(testcases[i]);
  43         if (testcases[i].real() == 0 && testcases[i].imag() == 0)
  44         {
  45             assert(!std::signbit(r.real()));
  46             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
  47         }
  48         else if (std::isinf(testcases[i].imag()))
  49         {
  50             assert(std::isinf(r.real()));
  51             assert(r.real() > 0);
  52             assert(std::isinf(r.imag()));
  53             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
  54         }
  55         else if (std::isfinite(testcases[i].real()) && std::isnan(testcases[i].imag()))
  56         {
  57             assert(std::isnan(r.real()));
  58             assert(std::isnan(r.imag()));
  59         }
  60         else if (std::isinf(testcases[i].real()) && testcases[i].real() < 0 && std::isfinite(testcases[i].imag()))
  61         {
  62             assert(r.real() == 0);
  63             assert(!std::signbit(r.real()));
  64             assert(std::isinf(r.imag()));
  65             assert(std::signbit(testcases[i].imag()) == std::signbit(r.imag()));
  66         }
  67         else if (std::isinf(testcases[i].real()) && testcases[i].real() > 0 && std::isfinite(testcases[i].imag()))
  68         {
  69             assert(std::isinf(r.real()));
  70             assert(r.real() > 0);
  71             assert(r.imag() == 0);
  72             assert(std::signbit(testcases[i].imag()) == std::signbit(r.imag()));
  73         }
  74         else if (std::isinf(testcases[i].real()) && testcases[i].real() < 0 && std::isnan(testcases[i].imag()))
  75         {
  76             assert(std::isnan(r.real()));
  77             assert(std::isinf(r.imag()));
  78         }
  79         else if (std::isinf(testcases[i].real()) && testcases[i].real() > 0 && std::isnan(testcases[i].imag()))
  80         {
  81             assert(std::isinf(r.real()));
  82             assert(r.real() > 0);
  83             assert(std::isnan(r.imag()));
  84         }
  85         else if (std::isnan(testcases[i].real()) && (std::isfinite(testcases[i].imag()) || std::isnan(testcases[i].imag())))
  86         {
  87             assert(std::isnan(r.real()));
  88             assert(std::isnan(r.imag()));
  89         }
  90         else if (std::signbit(testcases[i].imag()))
  91         {
  92             assert(!std::signbit(r.real()));
  93             assert(std::signbit(r.imag()));
  94         }
  95         else
  96         {
  97             assert(!std::signbit(r.real()));
  98             assert(!std::signbit(r.imag()));
  99         }
 100     }
 101 }
 102
 103 int main(int, char**)
 104 {
 105     test<float>();
 106     test<double>();
 107     test<long double>();
 108     test_edges();
 109
 110   return 0;
 111 }