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      1 //===----------------------------------------------------------------------===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is dual licensed under the MIT and the University of Illinois Open
      6 // Source Licenses. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 
     10 // <complex>
     11 
     12 // template<class T>
     13 //   complex<T>
     14 //   asinh(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(asinh(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 = asinh(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::abs(testcases[i].imag()) == 1)
     48         {
     49             assert(r.real() == 0);
     50             assert(std::signbit(testcases[i].imag()) == std::signbit(r.imag()));
     51             if (std::signbit(testcases[i].imag()))
     52                 is_about(r.imag(), -pi/2);
     53             else
     54                 is_about(r.imag(),  pi/2);
     55         }
     56         else if (std::isfinite(testcases[i].real()) && std::isinf(testcases[i].imag()))
     57         {
     58             assert(std::isinf(r.real()));
     59             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
     60             if (std::signbit(testcases[i].imag()))
     61                 is_about(r.imag(), -pi/2);
     62             else
     63                 is_about(r.imag(),  pi/2);
     64         }
     65         else if (std::isfinite(testcases[i].real()) && std::isnan(testcases[i].imag()))
     66         {
     67             assert(std::isnan(r.real()));
     68             assert(std::isnan(r.imag()));
     69         }
     70         else if (std::isinf(testcases[i].real()) && std::isfinite(testcases[i].imag()))
     71         {
     72             assert(std::isinf(r.real()));
     73             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
     74             assert(r.imag() == 0);
     75             assert(std::signbit(testcases[i].imag()) == std::signbit(r.imag()));
     76         }
     77         else if (std::isinf(testcases[i].real()) && std::isinf(testcases[i].imag()))
     78         {
     79             assert(std::isinf(r.real()));
     80             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
     81             if (std::signbit(testcases[i].imag()))
     82                 is_about(r.imag(), -pi/4);
     83             else
     84                 is_about(r.imag(),  pi/4);
     85         }
     86         else if (std::isinf(testcases[i].real()) && std::isnan(testcases[i].imag()))
     87         {
     88             assert(std::isinf(r.real()));
     89             assert(std::signbit(testcases[i].real()) == std::signbit(r.real()));
     90             assert(std::isnan(r.imag()));
     91         }
     92         else if (std::isnan(testcases[i].real()) && testcases[i].imag() == 0)
     93         {
     94             assert(std::isnan(r.real()));
     95             assert(r.imag() == 0);
     96             assert(std::signbit(testcases[i].imag()) == std::signbit(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(std::isinf(r.real()));
    106             assert(std::isnan(r.imag()));
    107         }
    108         else if (std::isnan(testcases[i].real()) && std::isnan(testcases[i].imag()))
    109         {
    110             assert(std::isnan(r.real()));
    111             assert(std::isnan(r.imag()));
    112         }
    113         else
    114         {
    115             assert(std::signbit(r.real()) == std::signbit(testcases[i].real()));
    116             assert(std::signbit(r.imag()) == std::signbit(testcases[i].imag()));
    117         }
    118     }
    119 }
    120 
    121 int main()
    122 {
    123     test<float>();
    124     test<double>();
    125     test<long double>();
    126     test_edges();
    127 }
    128