summaryrefslogtreecommitdiffstats
path: root/src/boost/libs/math/test/test_autodiff_4.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'src/boost/libs/math/test/test_autodiff_4.cpp')
-rw-r--r--src/boost/libs/math/test/test_autodiff_4.cpp194
1 files changed, 194 insertions, 0 deletions
diff --git a/src/boost/libs/math/test/test_autodiff_4.cpp b/src/boost/libs/math/test/test_autodiff_4.cpp
new file mode 100644
index 00000000..842d7e47
--- /dev/null
+++ b/src/boost/libs/math/test/test_autodiff_4.cpp
@@ -0,0 +1,194 @@
+// 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_4)
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(lround_llround_lltrunc_truncl, T,
+ all_float_types) {
+ using boost::math::llround;
+ using boost::math::lltrunc;
+ using boost::math::lround;
+ using boost::multiprecision::llround;
+ using boost::multiprecision::lltrunc;
+ using boost::multiprecision::lround;
+ using detail::llround;
+ using detail::lltrunc;
+ using detail::lround;
+ using detail::truncl;
+ using std::truncl;
+
+ constexpr std::size_t m = 3;
+ const auto &cx = static_cast<T>(3.25);
+ auto x = make_fvar<T, m>(cx);
+ auto yl = lround(x);
+ BOOST_CHECK_EQUAL(yl, lround(cx));
+ auto yll = llround(x);
+ BOOST_CHECK_EQUAL(yll, llround(cx));
+ BOOST_CHECK_EQUAL(lltrunc(cx), lltrunc(x));
+
+#ifndef BOOST_NO_CXX17_IF_CONSTEXPR
+ if constexpr (!bmp::is_number<T>::value &&
+ !bmp::is_number_expression<T>::value) {
+ BOOST_CHECK_EQUAL(truncl(x), truncl(cx));
+ }
+#endif
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(equality, T, all_float_types) {
+ BOOST_MATH_STD_USING
+ using boost::math::epsilon_difference;
+ using boost::math::fpclassify;
+ using boost::math::ulp;
+ using std::fpclassify;
+
+ constexpr std::size_t m = 3;
+ // check zeros
+ {
+ auto x = make_fvar<T, m>(0.0);
+ auto y = T(-0.0);
+ BOOST_CHECK_EQUAL(x.derivative(0u), y);
+ }
+}
+
+#if defined(BOOST_AUTODIFF_TESTING_INCLUDE_MULTIPRECISION)
+BOOST_AUTO_TEST_CASE_TEMPLATE(multiprecision, T, multiprecision_float_types) {
+ using boost::multiprecision::fabs;
+ using detail::fabs;
+ using std::fabs;
+
+ const T eps = 3000 * std::numeric_limits<T>::epsilon();
+ constexpr std::size_t Nw = 3;
+ constexpr std::size_t Nx = 2;
+ constexpr std::size_t Ny = 4;
+ constexpr std::size_t Nz = 3;
+ const auto w = make_fvar<T, Nw>(11);
+ const auto x = make_fvar<T, 0, Nx>(12);
+ const auto y = make_fvar<T, 0, 0, Ny>(13);
+ const auto z = make_fvar<T, 0, 0, 0, Nz>(14);
+ const auto v =
+ mixed_partials_f(w, x, y, z); // auto = autodiff_fvar<T,Nw,Nx,Ny,Nz>
+ // Calculated from Mathematica symbolic differentiation.
+ const T answer = boost::lexical_cast<T>(
+ "1976.3196007477977177798818752904187209081211892187"
+ "5499076582535951111845769110560421820940516423255314");
+ // BOOST_CHECK_CLOSE(v.derivative(Nw,Nx,Ny,Nz), answer, eps); // Doesn't work
+ // for cpp_dec_float
+ const T relative_error =
+ static_cast<T>(fabs(v.derivative(Nw, Nx, Ny, Nz) / answer - 1));
+ BOOST_CHECK_LT(relative_error, eps);
+}
+#endif
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(acosh_hpp, T, all_float_types) {
+ using boost::math::acosh;
+ using test_constants = test_constants_t<T>;
+ static constexpr auto m = test_constants::order;
+
+ test_detail::RandomSample<T> x_sampler{1, 100};
+ for (auto i : boost::irange(test_constants::n_samples)) {
+ std::ignore = i;
+ auto x = x_sampler.next();
+ auto autodiff_v = acosh(make_fvar<T, m>(x));
+ auto anchor_v = acosh(x);
+ BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+ 1e3 * test_constants::pct_epsilon());
+ }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(asinh_hpp, T, all_float_types) {
+ using boost::math::asinh;
+ using test_constants = test_constants_t<T>;
+ static constexpr auto m = test_constants::order;
+
+ test_detail::RandomSample<T> x_sampler{-100, 100};
+ for (auto i : boost::irange(test_constants::n_samples)) {
+ std::ignore = i;
+ auto x = x_sampler.next();
+
+ auto autodiff_v = asinh(make_fvar<T, m>(x));
+ auto anchor_v = asinh(x);
+ BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+ 1e3 * test_constants::pct_epsilon());
+ }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atanh_hpp, T, all_float_types) {
+ using boost::math::nextafter;
+ using std::nextafter;
+
+ using boost::math::atanh;
+ using test_constants = test_constants_t<T>;
+ static constexpr auto m = test_constants::order;
+
+ test_detail::RandomSample<T> x_sampler{-1, 1};
+ for (auto i : boost::irange(test_constants::n_samples)) {
+ std::ignore = i;
+ auto x = nextafter(x_sampler.next(), T(0));
+
+ auto autodiff_v = atanh(make_fvar<T, m>(x));
+ auto anchor_v = atanh(x);
+ BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+ 1e3 * test_constants::pct_epsilon());
+ }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(atan_hpp, T, all_float_types) {
+ using boost::math::float_prior;
+ using boost::math::fpclassify;
+ using boost::math::signbit;
+ using boost::math::differentiation::detail::atan;
+ using boost::multiprecision::atan;
+ using boost::multiprecision::fabs;
+ using boost::multiprecision::fpclassify;
+ using boost::multiprecision::signbit;
+ using detail::fabs;
+ using std::atan;
+ using std::fabs;
+
+ using test_constants = test_constants_t<T>;
+ static constexpr auto m = test_constants::order;
+
+ test_detail::RandomSample<T> x_sampler{-1, 1};
+ for (auto i : boost::irange(test_constants::n_samples)) {
+ std::ignore = i;
+ auto x = T(1);
+ while (fpclassify(T(fabs(x) - 1)) == FP_ZERO) {
+ x = x_sampler.next();
+ }
+
+ auto autodiff_v = atan(make_fvar<T, m>(x));
+ auto anchor_v = atan(x);
+ BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+ 1e3 * test_constants::pct_epsilon());
+ }
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(bernoulli_hpp, T, all_float_types) {
+
+ using boost::multiprecision::min;
+ using std::min;
+ using test_constants = test_constants_t<T>;
+ static constexpr auto m = test_constants::order;
+
+ for (auto i : boost::irange(test_constants::n_samples)) {
+ {
+ auto autodiff_v = boost::math::bernoulli_b2n<autodiff_fvar<T, m>>(i);
+ auto anchor_v = boost::math::bernoulli_b2n<T>(i);
+ BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+ 50 * test_constants::pct_epsilon());
+ }
+ {
+ auto i_ = (min)(19, i);
+ auto autodiff_v = boost::math::tangent_t2n<autodiff_fvar<T, m>>(i_);
+ auto anchor_v = boost::math::tangent_t2n<T>(i_);
+ BOOST_CHECK_CLOSE(autodiff_v.derivative(0u), anchor_v,
+ 50 * test_constants::pct_epsilon());
+ }
+ }
+}
+
+BOOST_AUTO_TEST_SUITE_END()