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 // atanh(const complex<T>& x);
15
16 #include <complex>
17 #include <cassert>
18
19 #include "../cases.h"
20
21 template <class T>
22 void
test(const std::complex<T> & c,std::complex<T> x)23 test(const std::complex<T>& c, std::complex<T> x)
24 {
25 assert(atanh(c) == x);
26 }
27
28 template <class T>
29 void
test()30 test()
31 {
32 test(std::complex<T>(0, 0), std::complex<T>(0, 0));
33 }
34
test_edges()35 void 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 (std::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
main()126 int main()
127 {
128 test<float>();
129 test<double>();
130 test<long double>();
131 test_edges();
132 }
133