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- // Copyright Matthew Pulver 2018 - 2019.
- // Distributed under the Boost Software License, Version 1.0.
- // (See accompanying file LICENSE_1_0.txt or copy at
- // https://www.boost.org/LICENSE_1_0.txt)
- #include "test_autodiff.hpp"
- BOOST_AUTO_TEST_SUITE(test_autodiff_5)
- BOOST_AUTO_TEST_CASE_TEMPLATE(binomial_hpp, T, all_float_types) {
- using boost::multiprecision::min;
- using std::fabs;
- using std::min;
- using test_constants = test_constants_t<T>;
- static constexpr auto m = test_constants::order;
- test_detail::RandomSample<unsigned> n_sampler{0u, 30u};
- test_detail::RandomSample<unsigned> r_sampler{0u, 30u};
- for (auto i : boost::irange(test_constants::n_samples)) {
- std::ignore = i;
- auto n = n_sampler.next();
- auto r = n == 0 ? 0 : (min)(r_sampler.next(), n - 1);
- // This is a hard function to test for type float due to a specialization of
- // boost::math::binomial_coefficient
- auto autodiff_v =
- std::is_same<T, float>::value
- ? make_fvar<T, m>(boost::math::binomial_coefficient<T>(n, r))
- : boost::math::binomial_coefficient<T>(n, r);
- auto anchor_v = boost::math::binomial_coefficient<T>(n, r);
- BOOST_CHECK_EQUAL(autodiff_v.derivative(0u), anchor_v);
- }
- }
- BOOST_AUTO_TEST_CASE_TEMPLATE(cbrt_hpp, T, all_float_types) {
- using test_constants = test_constants_t<T>;
- static constexpr auto m = test_constants::order;
- test_detail::RandomSample<T> x_sampler{-2000, 2000};
- for (auto i : boost::irange(test_constants::n_samples)) {
- std::ignore = i;
- auto x = x_sampler.next();
- BOOST_CHECK_CLOSE(boost::math::cbrt(make_fvar<T, m>(x)).derivative(0u),
- boost::math::cbrt(x), 50 * test_constants::pct_epsilon());
- }
- }
- BOOST_AUTO_TEST_CASE_TEMPLATE(chebyshev_hpp, T, all_float_types) {
- using test_constants = test_constants_t<T>;
- static constexpr auto m = test_constants::order;
- {
- test_detail::RandomSample<unsigned> n_sampler{0u, 10u};
- test_detail::RandomSample<T> x_sampler{-2, 2};
- for (auto i : boost::irange(test_constants::n_samples)) {
- std::ignore = i;
- auto n = n_sampler.next();
- auto x = x_sampler.next();
- BOOST_CHECK_CLOSE(
- boost::math::chebyshev_t(n, make_fvar<T, m>(x)).derivative(0u),
- boost::math::chebyshev_t(n, x), 40 * test_constants::pct_epsilon());
- BOOST_CHECK_CLOSE(
- boost::math::chebyshev_u(n, make_fvar<T, m>(x)).derivative(0u),
- boost::math::chebyshev_u(n, x), 40 * test_constants::pct_epsilon());
- BOOST_CHECK_CLOSE(
- boost::math::chebyshev_t_prime(n, make_fvar<T, m>(x)).derivative(0u),
- boost::math::chebyshev_t_prime(n, x),
- 40 * test_constants::pct_epsilon());
- /*/usr/include/boost/math/special_functions/chebyshev.hpp:164:40: error:
- cannot convert
- boost::math::differentiation::autodiff_v1::detail::fvar<double, 3> to
- double in return
- BOOST_CHECK_EQUAL(boost::math::chebyshev_clenshaw_recurrence(c.data(),c.size(),make_fvar<T,m>(0.20))
- ,
- boost::math::chebyshev_clenshaw_recurrence(c.data(),c.size(),static_cast<T>(0.20)));*/
- /*try {
- std::array<T, 4> c0{{14.2, -13.7, 82.3, 96}};
- BOOST_CHECK_CLOSE(boost::math::chebyshev_clenshaw_recurrence(c0.data(),
- c0.size(), make_fvar<T,m>(x)),
- boost::math::chebyshev_clenshaw_recurrence(c0.data(),
- c0.size(), x), 10*test_constants::pct_epsilon()); } catch (...) {
- std::rethrow_exception(std::exception_ptr(std::current_exception()));
- }*/
- }
- }
- }
- BOOST_AUTO_TEST_CASE_TEMPLATE(cospi_hpp, T, all_float_types) {
- using test_constants = test_constants_t<T>;
- static constexpr auto m = test_constants::order;
- test_detail::RandomSample<T> x_sampler{-2000, 2000};
- for (auto i : boost::irange(test_constants::n_samples)) {
- std::ignore = i;
- auto x = x_sampler.next();
- BOOST_CHECK_CLOSE(boost::math::cos_pi(make_fvar<T, m>(x)).derivative(0u),
- boost::math::cos_pi(x), test_constants::pct_epsilon());
- }
- }
- BOOST_AUTO_TEST_CASE_TEMPLATE(digamma_hpp, T, all_float_types) {
- using boost::math::nextafter;
- using std::nextafter;
- using test_constants = test_constants_t<T>;
- static constexpr auto m = test_constants::order;
- test_detail::RandomSample<T> x_sampler{-1, 2000};
- for (auto i : boost::irange(test_constants::n_samples)) {
- std::ignore = i;
- auto x = nextafter(x_sampler.next(), ((std::numeric_limits<T>::max))());
- auto autodiff_v = boost::math::digamma(make_fvar<T, m>(x));
- auto anchor_v = boost::math::digamma(x);
- BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
- 1e4 * test_constants::pct_epsilon());
- }
- }
- BOOST_AUTO_TEST_SUITE_END()
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