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