mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2024-11-16 00:51:56 -05:00
248 lines
8.2 KiB
C++
248 lines
8.2 KiB
C++
// test_owens_t.cpp
|
|
|
|
// Copyright Paul A. Bristow 2012.
|
|
// Copyright Benjamin Sobotta 2012.
|
|
|
|
// Use, modification and distribution are subject to the
|
|
// Boost Software License, Version 1.0.
|
|
// (See accompanying file LICENSE_1_0.txt
|
|
// or copy at http://www.boost.org/LICENSE_1_0.txt)
|
|
|
|
// Tested using some 30 decimal digit accuracy values from:
|
|
// Fast and accurate calculation of Owen's T-function
|
|
// Mike Patefield, and David Tandy
|
|
// Journal of Statistical Software, 5 (5), 1-25 (2000).
|
|
// http://www.jstatsoft.org/v05/a05/paper Table 3, page 15
|
|
// Values of T(h,a) accurate to thirty figures were calculated using 128 bit arithmetic by
|
|
// evaluating (9) with m = 48, the summation over k being continued until additional terms did
|
|
// not alter the result. The resultant values Tacc(h,a) say, were validated by evaluating (8) with
|
|
// m = 48 (i.e. 96 point Gaussian quadrature).
|
|
|
|
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
|
|
|
|
#ifdef _MSC_VER
|
|
# pragma warning (disable : 4127) // conditional expression is constant
|
|
# pragma warning (disable : 4305) // 'initializing' : truncation from 'double' to 'const float'
|
|
// ?? TODO get rid of these warnings?
|
|
#endif
|
|
|
|
#include <boost/math/concepts/real_concept.hpp> // for real_concept.
|
|
using ::boost::math::concepts::real_concept;
|
|
|
|
#include <boost/math/special_functions/owens_t.hpp> // for owens_t function.
|
|
using boost::math::owens_t;
|
|
#include <boost/math/distributions/normal.hpp>
|
|
|
|
#define BOOST_TEST_MAIN
|
|
#include <boost/test/unit_test.hpp>
|
|
#include <boost/test/floating_point_comparison.hpp>
|
|
#include <boost/array.hpp>
|
|
|
|
#include "libs/math/test/handle_test_result.hpp"
|
|
#include "libs/math/test/table_type.hpp"
|
|
#include "libs/math/test/functor.hpp"
|
|
#include "test_owens_t.hpp"
|
|
|
|
//
|
|
// Defining TEST_CPP_DEC_FLOAT enables testing of multiprecision support.
|
|
// This requires the multiprecision library from sandbox/big_number.
|
|
// Note that these tests *do not pass*, but they do give an idea of the
|
|
// error rates that can be expected....
|
|
//
|
|
#ifdef TEST_CPP_DEC_FLOAT
|
|
#include <boost/multiprecision/cpp_dec_float.hpp>
|
|
|
|
template <class R>
|
|
inline R convert_to(const char* s)
|
|
{
|
|
try{
|
|
return boost::lexical_cast<R>(s);
|
|
}
|
|
catch(const boost::bad_lexical_cast&)
|
|
{
|
|
return 0;
|
|
}
|
|
}
|
|
|
|
#define SC_(x) convert_to<T>(BOOST_STRINGIZE(x))
|
|
#endif
|
|
|
|
#include "owens_t_T7.hpp"
|
|
|
|
#include <iostream>
|
|
using std::cout;
|
|
using std::endl;
|
|
#include <limits>
|
|
using std::numeric_limits;
|
|
|
|
void expected_results()
|
|
{
|
|
//
|
|
// Define the max and mean errors expected for
|
|
// various compilers and platforms.
|
|
//
|
|
const char* largest_type;
|
|
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
|
|
if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
|
|
{
|
|
largest_type = "(long\\s+)?double|real_concept";
|
|
}
|
|
else
|
|
{
|
|
largest_type = "long double|real_concept";
|
|
}
|
|
#else
|
|
largest_type = "(long\\s+)?double";
|
|
#endif
|
|
|
|
//
|
|
// Catch all cases come last:
|
|
//
|
|
if(std::numeric_limits<long double>::digits > 60)
|
|
{
|
|
add_expected_result(
|
|
".*", // compiler
|
|
".*", // stdlib
|
|
".*", // platform
|
|
largest_type, // test type(s)
|
|
".*", // test data group
|
|
"owens_t", 500, 100); // test function
|
|
}
|
|
else
|
|
{
|
|
add_expected_result(
|
|
".*", // compiler
|
|
".*", // stdlib
|
|
".*", // platform
|
|
largest_type, // test type(s)
|
|
".*", // test data group
|
|
"owens_t", 60, 5); // test function
|
|
}
|
|
//
|
|
// Finish off by printing out the compiler/stdlib/platform names,
|
|
// we do this to make it easier to mark up expected error rates.
|
|
//
|
|
std::cout << "Tests run with " << BOOST_COMPILER << ", "
|
|
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
|
|
}
|
|
|
|
BOOST_AUTO_TEST_CASE( test_main )
|
|
{
|
|
BOOST_MATH_CONTROL_FP;
|
|
|
|
expected_results();
|
|
|
|
// Basic sanity-check spot values.
|
|
|
|
// (Parameter value, arbitrarily zero, only communicates the floating point type).
|
|
test_spots(0.0F); // Test float.
|
|
test_spots(0.0); // Test double.
|
|
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
|
|
test_spots(0.0L); // Test long double.
|
|
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
|
|
test_spots(boost::math::concepts::real_concept(0.)); // Test real concept.
|
|
#endif
|
|
#endif
|
|
|
|
check_against_T7(0.0F); // Test float.
|
|
check_against_T7(0.0); // Test double.
|
|
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
|
|
check_against_T7(0.0L); // Test long double.
|
|
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
|
|
check_against_T7(boost::math::concepts::real_concept(0.)); // Test real concept.
|
|
#endif
|
|
#endif
|
|
|
|
test_owens_t(0.0F, "float"); // Test float.
|
|
test_owens_t(0.0, "double"); // Test double.
|
|
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
|
|
test_owens_t(0.0L, "long double"); // Test long double.
|
|
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
|
|
test_owens_t(boost::math::concepts::real_concept(0.), "real_concept"); // Test real concept.
|
|
#endif
|
|
#endif
|
|
#ifdef TEST_CPP_DEC_FLOAT
|
|
typedef boost::multiprecision::mp_number<boost::multiprecision::cpp_dec_float<35> > cpp_dec_float_35;
|
|
test_owens_t(cpp_dec_float_35(0), "cpp_dec_float_35"); // Test real concept.
|
|
test_owens_t(boost::multiprecision::cpp_dec_float_50(0), "cpp_dec_float_50"); // Test real concept.
|
|
test_owens_t(boost::multiprecision::cpp_dec_float_100(0), "cpp_dec_float_100"); // Test real concept.
|
|
#endif
|
|
|
|
} // BOOST_AUTO_TEST_CASE( test_main )
|
|
|
|
/*
|
|
|
|
Output:
|
|
|
|
Description: Autorun "J:\Cpp\MathToolkit\test\Math_test\Debug\test_owens_t.exe"
|
|
Running 1 test case...
|
|
Tests run with Microsoft Visual C++ version 10.0, Dinkumware standard library version 520, Win32
|
|
Tolerance = 3.57628e-006.
|
|
Tolerance = 6.66134e-015.
|
|
Tolerance = 6.66134e-015.
|
|
Tolerance = 6.66134e-015.
|
|
Tolerance = 1.78814e-005.
|
|
Tolerance = 3.33067e-014.
|
|
Tolerance = 3.33067e-014.
|
|
Tolerance = 3.33067e-014.
|
|
Testing Owens T (medium small values) with type float
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<float> Max = 0 RMS Mean=0
|
|
|
|
|
|
Testing Owens T (large and diverse values) with type float
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<float> Max = 0 RMS Mean=0
|
|
|
|
|
|
Testing Owens T (medium small values) with type double
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<double> Max = 4.375 RMS Mean=0.9728
|
|
worst case at row: 81
|
|
{ 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
|
|
|
|
|
|
Testing Owens T (large and diverse values) with type double
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<double> Max = 3.781 RMS Mean=0.6206
|
|
worst case at row: 430
|
|
{ 3.4516773223876953, 0.0010718167759478092, 4.413983645332431e-007 }
|
|
|
|
|
|
Testing Owens T (medium small values) with type long double
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<long double> Max = 4.375 RMS Mean=0.9728
|
|
worst case at row: 81
|
|
{ 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
|
|
|
|
|
|
Testing Owens T (large and diverse values) with type long double
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<long double> Max = 3.781 RMS Mean=0.6206
|
|
worst case at row: 430
|
|
{ 3.4516773223876953, 0.0010718167759478092, 4.413983645332431e-007 }
|
|
|
|
|
|
Testing Owens T (medium small values) with type real_concept
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<real_concept> Max = 4.375 RMS Mean=1.032
|
|
worst case at row: 81
|
|
{ 4.4206809997558594, 0.1269868016242981, 1.0900281236140834e-006 }
|
|
|
|
|
|
Testing Owens T (large and diverse values) with type real_concept
|
|
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|
boost::math::owens_t<real_concept> Max = 21.04 RMS Mean=1.102
|
|
worst case at row: 439
|
|
{ 3.4516773223876953, 0.98384737968444824, 0.00013923002576038691 }
|
|
|
|
|
|
|
|
*** No errors detected
|
|
|
|
|
|
*/
|
|
|
|
|
|
|