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- #include <boost/config.hpp>
- #ifdef BOOST_MSVC
- #pragma warning(disable:4996)
- #endif
- #define BOOST_TEST_MODULE odeint_adaptive_adams_coefficients
- #include <boost/test/unit_test.hpp>
- #include <boost/numeric/odeint/stepper/detail/adaptive_adams_coefficients.hpp>
- #include <vector>
- #include <boost/mpl/list.hpp>
- #include <boost/mpl/size_t.hpp>
- #include <boost/mpl/range_c.hpp>
- using namespace boost::unit_test;
- using namespace boost::numeric::odeint;
- typedef double value_type;
- BOOST_AUTO_TEST_SUITE( adaptive_adams_coefficients_test )
- typedef boost::mpl::range_c< size_t , 2 , 10 > vector_of_steps;
- BOOST_AUTO_TEST_CASE_TEMPLATE( test_step, step_type, vector_of_steps )
- {
- const static size_t steps = step_type::value;
- typedef std::vector<double> deriv_type;
- typedef double time_type;
- typedef detail::adaptive_adams_coefficients<steps, deriv_type, time_type> aac_type;
- std::vector<double> deriv;
- deriv.push_back(-1);
- time_type t = 0.0;
- time_type dt = 0.1;
- aac_type coeff;
- for(size_t i=0; i<steps; ++i)
- {
- coeff.predict(t, dt);
- coeff.do_step(deriv);
- coeff.confirm();
- t+= dt;
- if(coeff.m_eo < steps)
- coeff.m_eo ++;
- }
- std::vector<value_type> v(10);
- v[0] = 1.0/1.0;
- v[1] = 1.0/2.0;
- v[2] = 5.0/12.0;
- v[3] = 9.0/24.0;
- v[4] = 251.0/720.0;
- v[5] = 95.0/288.0;
- v[6] = 19087.0/60480.0;
- v[7] = 5257.0/17280.0;
- v[8] = 5311869667636789.0/18014398509481984.0;
- for(size_t i=0; i<steps; ++i)
- {
- BOOST_CHECK_SMALL(coeff.beta[1][i] - 1.0, 1e-15);
- if(i == 0)
- BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0] + 1, 1e-15);
- else if (i == steps-1 && steps%2 == 1)
- BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0] - 1, 1e-14);
- else if (i == steps-1 && steps%2 == 0)
- BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0] + 1, 1e-14);
- else
- BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0], 1e-15);
- BOOST_CHECK_SMALL(coeff.g[i] - v[i], 1e-15);
- }
- }
- BOOST_AUTO_TEST_CASE( test_copy )
- {
- typedef std::vector<double> deriv_type;
- typedef double time_type;
- typedef detail::adaptive_adams_coefficients<3, deriv_type, time_type> aac_type;
- aac_type c1;
- deriv_type deriv(1);
- deriv[0] = 1.0;
- time_type t = 0.0;
- time_type dt = 0.01;
- for(size_t i=0; i<3; ++i)
- {
- c1.predict(t, dt);
- c1.do_step(deriv);
- c1.confirm();
- t+= dt;
- if(c1.m_eo < 3)
- c1.m_eo ++;
- }
- aac_type c2(c1);
- BOOST_CHECK_EQUAL(c1.phi[0][0].m_v[0], c2.phi[0][0].m_v[0]);
- BOOST_CHECK(&(c1.phi[0][0].m_v) != &(c2.phi[0][0].m_v));
- aac_type c3;
- deriv_type *p1 = &(c3.phi[0][0].m_v);
- c3 = c1;
- BOOST_CHECK(p1 == (&(c3.phi[0][0].m_v)));
- BOOST_CHECK_EQUAL(c1.phi[0][0].m_v[0], c3.phi[0][0].m_v[0]);
- }
- BOOST_AUTO_TEST_SUITE_END()
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