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// Copyright John Maddock 2006.
// Copyright Paul A. Bristow 2007.
// 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)
// test_dist_overloads.cpp
#include <boost/math/concepts/real_concept.hpp> // for real_concept
#include <boost/math/distributions/normal.hpp>
using boost::math::normal_distribution;
#define BOOST_TEST_MAIN
#include <boost/test/unit_test.hpp> // Boost.Test
#include <boost/test/tools/floating_point_comparison.hpp>
#include <iostream>
using std::cout;
using std::endl;
using std::setprecision;
template <class RealType>
void test_spots(RealType)
{
// Basic sanity checks,
// 2 eps as a percentage:
RealType tolerance = boost::math::tools::epsilon<RealType>() * 2 * 100;
cout << "Tolerance for type " << typeid(RealType).name() << " is " << tolerance << " %" << endl;
for(int i = -4; i <= 4; ++i)
{
BOOST_CHECK_CLOSE(
::boost::math::cdf(normal_distribution<RealType>(), i),
::boost::math::cdf(normal_distribution<RealType>(), static_cast<RealType>(i)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::pdf(normal_distribution<RealType>(), i),
::boost::math::pdf(normal_distribution<RealType>(), static_cast<RealType>(i)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::cdf(complement(normal_distribution<RealType>(), i)),
::boost::math::cdf(complement(normal_distribution<RealType>(), static_cast<RealType>(i))),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::hazard(normal_distribution<RealType>(), i),
::boost::math::hazard(normal_distribution<RealType>(), static_cast<RealType>(i)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::chf(normal_distribution<RealType>(), i),
::boost::math::chf(normal_distribution<RealType>(), static_cast<RealType>(i)),
tolerance);
}
for(float f = 0.01f; f < 1; f += 0.01f)
{
BOOST_CHECK_CLOSE(
::boost::math::quantile(normal_distribution<RealType>(), f),
::boost::math::quantile(normal_distribution<RealType>(), static_cast<RealType>(f)),
tolerance);
BOOST_CHECK_CLOSE(
::boost::math::quantile(complement(normal_distribution<RealType>(), f)),
::boost::math::quantile(complement(normal_distribution<RealType>(), static_cast<RealType>(f))),
tolerance);
}
} // template <class RealType>void test_spots(RealType)
BOOST_AUTO_TEST_CASE( test_main )
{
// Basic sanity-check spot values.
// (Parameter value, arbitrarily zero, only communicates the floating point type).
test_spots(0.0F); // Test float. OK at decdigits = 0 tolerance = 0.0001 %
test_spots(0.0); // Test double. OK at decdigits 7, tolerance = 1e07 %
#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
#else
std::cout << "<note>The long double tests have been disabled on this platform "
"either because the long double overloads of the usual math functions are "
"not available at all, or because they are too inaccurate for these tests "
"to pass.</note>" << std::endl;
#endif
} // BOOST_AUTO_TEST_CASE( test_main )
/*
Output:
Running 1 test case...
Tolerance for type float is 2.38419e-005 %
Tolerance for type double is 4.44089e-014 %
Tolerance for type long double is 4.44089e-014 %
Tolerance for type class boost::math::concepts::real_concept is 4.44089e-014 %
*** No errors detected
*/
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