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math/test/test_autodiff_4.cpp

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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_4)
struct lround_llround_truncl_test
{
template<typename T>
void operator()(const T&) const
{
using std::lround;
using std::llround;
//using std::truncl; // truncl not supported by boost::multiprecision types.
constexpr int m = 3;
const T cx = 3.25;
auto x = make_fvar<T,m>(cx);
long yl = lround(x);
BOOST_REQUIRE(yl == lround(cx));
long long yll = llround(x);
BOOST_REQUIRE(yll == llround(cx));
//long double yld = truncl(x);
//BOOST_REQUIRE(yld == truncl(cx));
}
};
BOOST_AUTO_TEST_CASE(lround_llround_truncl)
{
boost::fusion::for_each(bin_float_types, lround_llround_truncl_test());
boost::fusion::for_each(multiprecision_float_types, lround_llround_truncl_test());
}
struct multiprecision_test
{
template<typename T>
void operator()(const T&) const
{
const T eps = 25*std::numeric_limits<T>::epsilon();
constexpr int Nw=3;
constexpr int Nx=2;
constexpr int Ny=4;
constexpr int 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_REQUIRE_CLOSE(v.derivative(Nw,Nx,Ny,Nz), answer, eps); // Doesn't work for cpp_dec_float
using std::fabs;
const double relative_error = static_cast<double>(fabs(v.derivative(Nw,Nx,Ny,Nz)/answer-1));
BOOST_REQUIRE(relative_error < eps);
}
};
BOOST_AUTO_TEST_CASE(multiprecision)
{
//multiprecision_test()(boost::multiprecision::cpp_bin_float_50());
boost::fusion::for_each(bin_float_types, multiprecision_test());
}
BOOST_AUTO_TEST_SUITE_END()