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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"
#include <boost/math/tools/test_value.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>(T(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_MATH_TEST_VALUE(T, 1976.31960074779771777988187529041872090812118921875499076582535951111845769110560421820940516423255314);
// 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,
T(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()
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