atanh.pass.cpp revision f5256e16dfc425c1d466f6308d4026d529ce9e0b 
1//===----------------------------------------------------------------------===//
2//
3//                     The LLVM Compiler Infrastructure
4//
5// This file is distributed under the University of Illinois Open Source
6// License. See LICENSE.TXT for details.
7//
8//===----------------------------------------------------------------------===//
9
10// <complex>
11
12// template<class T>
13//   complex<T>
14//   atanh(const complex<T>& x);
15
16#include <complex>
17#include <cassert>
18
19#include "../cases.h"
20
21template <class T>
22void
23test(const std::complex<T>& c, std::complex<T> x)
24{
25    assert(atanh(c) == x);
26}
27
28template <class T>
29void
30test()
31{
32    test(std::complex<T>(0, 0), std::complex<T>(0, 0));
33}
34
35void test_edges()
36{
37    typedef std::complex<double> C;
38    const double pi = std::atan2(+0., -0.);
39    const unsigned N = sizeof(x) / sizeof(x[0]);
40    for (unsigned i = 0; i < N; ++i)
41    {
42        std::complex<double> r = atanh(x[i]);
43        if (x[i].real() == 0 && x[i].imag() == 0)
44        {
45            assert(std::signbit(r.real()) == std::signbit(x[i].real()));
46            assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
47        }
48        else if ( x[i].real() == 0 && std::isnan(x[i].imag()))
49        {
50            assert(r.real() == 0);
51            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
52            assert(std::isnan(r.imag()));
53        }
54        else if (abs(x[i].real()) == 1 && x[i].imag() == 0)
55        {
56            assert(std::isinf(r.real()));
57            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
58            assert(r.imag() == 0);
59            assert(std::signbit(x[i].imag()) == std::signbit(r.imag()));
60        }
61        else if (std::isfinite(x[i].real()) && std::isinf(x[i].imag()))
62        {
63            assert(r.real() == 0);
64            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
65            if (x[i].imag() > 0)
66                is_about(r.imag(),  pi/2);
67            else
68                is_about(r.imag(), -pi/2);
69        }
70        else if (std::isfinite(x[i].real()) && std::isnan(x[i].imag()))
71        {
72            assert(std::isnan(r.real()));
73            assert(std::isnan(r.imag()));
74        }
75        else if (std::isinf(x[i].real()) && std::isfinite(x[i].imag()))
76        {
77            assert(r.real() == 0);
78            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
79            if (std::signbit(x[i].imag()))
80                is_about(r.imag(), -pi/2);
81            else
82                is_about(r.imag(),  pi/2);
83        }
84        else if (std::isinf(x[i].real()) && std::isinf(x[i].imag()))
85        {
86            assert(r.real() == 0);
87            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
88            if (std::signbit(x[i].imag()))
89                is_about(r.imag(), -pi/2);
90            else
91                is_about(r.imag(),  pi/2);
92        }
93        else if (std::isinf(x[i].real()) && std::isnan(x[i].imag()))
94        {
95            assert(r.real() == 0);
96            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
97            assert(std::isnan(r.imag()));
98        }
99        else if (std::isnan(x[i].real()) && std::isfinite(x[i].imag()))
100        {
101            assert(std::isnan(r.real()));
102            assert(std::isnan(r.imag()));
103        }
104        else if (std::isnan(x[i].real()) && std::isinf(x[i].imag()))
105        {
106            assert(r.real() == 0);
107            assert(std::signbit(x[i].real()) == std::signbit(r.real()));
108            if (std::signbit(x[i].imag()))
109                is_about(r.imag(), -pi/2);
110            else
111                is_about(r.imag(),  pi/2);
112        }
113        else if (std::isnan(x[i].real()) && std::isnan(x[i].imag()))
114        {
115            assert(std::isnan(r.real()));
116            assert(std::isnan(r.imag()));
117        }
118        else
119        {
120            assert(std::signbit(r.real()) == std::signbit(x[i].real()));
121            assert(std::signbit(r.imag()) == std::signbit(x[i].imag()));
122        }
123    }
124}
125
126int main()
127{
128    test<float>();
129    test<double>();
130    test<long double>();
131    test_edges();
132}
133