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1 | // (C) Copyright John Maddock 2005. |
2 | // Use, modification and distribution are subject to the | |
3 | // Boost Software License, Version 1.0. (See accompanying file | |
4 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
5 | ||
6 | #ifdef TEST_STD_HEADERS | |
7 | #include <complex> | |
8 | #else | |
9 | #include <boost/tr1/complex.hpp> | |
10 | #endif | |
11 | ||
12 | #define BOOST_TEST_MODULE run_complex_overloads | |
13 | #include <boost/test/included/unit_test.hpp> | |
14 | #include <boost/type_traits/is_same.hpp> | |
15 | #include <boost/type_traits/is_floating_point.hpp> | |
16 | #include <boost/mpl/if.hpp> | |
17 | #include <boost/static_assert.hpp> | |
18 | ||
19 | #include <iostream> | |
20 | #include <iomanip> | |
21 | ||
22 | #ifndef VERBOSE | |
23 | #undef BOOST_TEST_MESSAGE | |
24 | #define BOOST_TEST_MESSAGE(x) | |
25 | #endif | |
26 | ||
27 | // | |
28 | // This test verifies that the complex-algorithms that are | |
29 | // overloaded for scalar types produce the same result as casting | |
30 | // the argument to a complex type, and calling the complex version | |
31 | // of the algorithm. Relative errors must be within 2e in order for | |
32 | // the tests to pass. | |
33 | // | |
34 | ||
35 | template <class T, class U> | |
36 | void do_check(const T& t, const U& u) | |
37 | { | |
38 | static const T two = 2; | |
39 | static const T factor = std::pow(two, 1-std::numeric_limits<T>::digits) * 200; | |
40 | BOOST_STATIC_ASSERT((::boost::is_same<T,U>::value)); | |
41 | BOOST_CHECK_CLOSE(t, u, factor); | |
42 | } | |
43 | ||
44 | template <class T, class U> | |
45 | void do_check(const std::complex<T>& t, const std::complex<U>& u) | |
46 | { | |
47 | BOOST_STATIC_ASSERT((::boost::is_same<T,U>::value)); | |
48 | do_check(t.real(), u.real()); | |
49 | do_check(t.imag(), u.imag()); | |
50 | } | |
51 | ||
52 | template <class T> | |
53 | void check_val(const T& val) | |
54 | { | |
55 | typedef typename boost::mpl::if_< boost::is_floating_point<T>, T, double>::type real_type; | |
56 | typedef std::complex<real_type> complex_type; | |
57 | ||
58 | real_type rval = static_cast<real_type>(val); | |
59 | complex_type cval = rval; | |
60 | ||
61 | if(val) | |
62 | { | |
63 | std::cout << " Testing std::arg.\n"; | |
64 | do_check(std::arg(cval), std::arg(rval)); | |
65 | do_check(std::arg(cval), std::arg(val)); | |
66 | } | |
67 | std::cout << " Testing std::norm.\n"; | |
68 | do_check(std::norm(cval), std::norm(rval)); | |
69 | do_check(std::norm(cval), std::norm(val)); | |
70 | std::cout << " Testing std::conj.\n"; | |
71 | do_check(std::conj(cval), std::conj(rval)); | |
72 | do_check(std::conj(cval), std::conj(val)); | |
73 | std::cout << " Testing std::polar.\n"; | |
74 | do_check(std::polar(val), std::polar(rval)); | |
75 | do_check(std::polar(val, 0), std::polar(rval, 0)); | |
76 | do_check(std::polar(val, val), std::polar(rval, rval)); | |
77 | do_check(std::polar(val, rval), std::polar(rval, val)); | |
78 | std::cout << " Testing std::real.\n"; | |
79 | do_check(std::real(cval), std::real(rval)); | |
80 | do_check(std::real(cval), std::real(val)); | |
81 | std::cout << " Testing std::imaj.\n"; | |
82 | do_check(std::imag(cval), std::imag(rval)); | |
83 | do_check(std::imag(cval), std::imag(val)); | |
84 | if(val && !boost::is_floating_point<T>::value) | |
85 | { | |
86 | // | |
87 | // Note that these tests are not run for floating point | |
88 | // types as that would only test the std lib vendor's | |
89 | // implementation of pow, not our additional overloads. | |
90 | // Note that some std lib's do fail these tests, gcc on | |
91 | // Darwin is a particularly bad example ! | |
92 | // | |
93 | std::cout << " Testing std::pow.\n"; | |
94 | do_check(std::pow(cval, cval), std::pow(cval, val)); | |
95 | do_check(std::pow(cval, cval), std::pow(cval, rval)); | |
96 | do_check(std::pow(cval, cval), std::pow(val, cval)); | |
97 | do_check(std::pow(cval, cval), std::pow(rval, cval)); | |
98 | } | |
99 | } | |
100 | ||
101 | void do_check(double i) | |
102 | { | |
103 | std::cout << "Checking type double with value " << i << std::endl; | |
104 | check_val(i); | |
105 | std::cout << "Checking type float with value " << i << std::endl; | |
106 | check_val(static_cast<float>(i)); | |
107 | std::cout << "Checking type long double with value " << i << std::endl; | |
108 | check_val(static_cast<long double>(i)); | |
109 | } | |
110 | ||
111 | void do_check(int i) | |
112 | { | |
113 | std::cout << "Checking type char with value " << i << std::endl; | |
114 | check_val(static_cast<char>(i)); | |
115 | std::cout << "Checking type unsigned char with value " << i << std::endl; | |
116 | check_val(static_cast<unsigned char>(i)); | |
117 | std::cout << "Checking type signed char with value " << i << std::endl; | |
118 | check_val(static_cast<signed char>(i)); | |
119 | std::cout << "Checking type short with value " << i << std::endl; | |
120 | check_val(static_cast<short>(i)); | |
121 | std::cout << "Checking type unsigned short with value " << i << std::endl; | |
122 | check_val(static_cast<unsigned short>(i)); | |
123 | std::cout << "Checking type int with value " << i << std::endl; | |
124 | check_val(static_cast<int>(i)); | |
125 | std::cout << "Checking type unsigned int with value " << i << std::endl; | |
126 | check_val(static_cast<unsigned int>(i)); | |
127 | std::cout << "Checking type long with value " << i << std::endl; | |
128 | check_val(static_cast<long>(i)); | |
129 | std::cout << "Checking type unsigned long with value " << i << std::endl; | |
130 | check_val(static_cast<unsigned long>(i)); | |
131 | #ifdef BOOST_HAS_LONG_LONG | |
132 | std::cout << "Checking type long long with value " << i << std::endl; | |
133 | check_val(static_cast<long long>(i)); | |
134 | std::cout << "Checking type unsigned long long with value " << i << std::endl; | |
135 | check_val(static_cast<unsigned long long>(i)); | |
136 | #elif defined(BOOST_HAS_MS_INT64) | |
137 | std::cout << "Checking type __int64 with value " << i << std::endl; | |
138 | check_val(static_cast<__int64>(i)); | |
139 | std::cout << "Checking type unsigned __int64 with value " << i << std::endl; | |
140 | check_val(static_cast<unsigned __int64>(i)); | |
141 | #endif | |
142 | do_check(static_cast<double>(i)); | |
143 | } | |
144 | ||
145 | BOOST_AUTO_TEST_CASE( test_main ) | |
146 | { | |
147 | do_check(0); | |
148 | do_check(0.0); | |
149 | do_check(1); | |
150 | do_check(1.5); | |
151 | do_check(0.5); | |
152 | } | |
153 |