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+// (C) Copyright 2006 Eric Niebler, Olivier Gygi.
+// 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 case for skewness.hpp
+
+#include <boost/random.hpp>
+#include <boost/test/unit_test.hpp>
+#include <boost/test/floating_point_comparison.hpp>
+#include <boost/accumulators/numeric/functional/vector.hpp>
+#include <boost/accumulators/numeric/functional/complex.hpp>
+#include <boost/accumulators/numeric/functional/valarray.hpp>
+#include <boost/accumulators/accumulators.hpp>
+#include <boost/accumulators/statistics/stats.hpp>
+#include <boost/accumulators/statistics/skewness.hpp>
+#include <sstream>
+#include <boost/archive/text_oarchive.hpp>
+#include <boost/archive/text_iarchive.hpp>
+
+using namespace boost;
+using namespace unit_test;
+using namespace boost::accumulators;
+
+///////////////////////////////////////////////////////////////////////////////
+// test_stat
+//
+void test_stat()
+{
+ // tolerance in %
+ // double epsilon = 1;
+
+ accumulator_set<double, stats<tag::skewness > > acc1;
+ accumulator_set<int, stats<tag::skewness > > acc2;
+
+ // two random number generators
+ boost::lagged_fibonacci607 rng;
+ boost::normal_distribution<> mean_sigma(0,1);
+ boost::variate_generator<boost::lagged_fibonacci607&, boost::normal_distribution<> > normal(rng, mean_sigma);
+
+ for (std::size_t i=0; i<100000; ++i)
+ {
+ acc1(normal());
+ }
+
+ // This check fails because epsilon is relative and not absolute
+ // BOOST_CHECK_CLOSE( skewness(acc1), 0., epsilon );
+
+ acc2(2);
+ acc2(7);
+ acc2(4);
+ acc2(9);
+ acc2(3);
+
+ BOOST_CHECK_EQUAL( mean(acc2), 5 );
+ BOOST_CHECK_EQUAL( accumulators::moment<2>(acc2), 159./5. );
+ BOOST_CHECK_EQUAL( accumulators::moment<3>(acc2), 1171./5. );
+ BOOST_CHECK_CLOSE( skewness(acc2), 0.406040288214, 1e-6 );
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// test_persistency
+//
+void test_persistency()
+{
+ double epsilon = 1e-6;
+ std::stringstream ss;
+ {
+ accumulator_set<int, stats<tag::skewness > > acc;
+ acc(2);
+ acc(7);
+ acc(4);
+ acc(9);
+ acc(3);
+
+ BOOST_CHECK_EQUAL(accumulators::moment<3>(acc), 1171./5.);
+ BOOST_CHECK_CLOSE(skewness(acc), 0.406040288214, epsilon);
+ boost::archive::text_oarchive oa(ss);
+ acc.serialize(oa, 0);
+ }
+ accumulator_set<int, stats<tag::skewness > > acc;
+ boost::archive::text_iarchive ia(ss);
+ acc.serialize(ia, 0);
+ BOOST_CHECK_EQUAL(accumulators::moment<3>(acc), 1171./5.);
+ BOOST_CHECK_CLOSE(skewness(acc), 0.406040288214, epsilon);
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// init_unit_test_suite
+//
+test_suite* init_unit_test_suite( int argc, char* argv[] )
+{
+ test_suite *test = BOOST_TEST_SUITE("skewness test");
+
+ test->add(BOOST_TEST_CASE(&test_stat));
+ test->add(BOOST_TEST_CASE(&test_persistency));
+
+ return test;
+}
+