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Fri, May 17, 21:04

element.hh
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2018 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Tamaas is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef ELEMENT_HH
#define ELEMENT_HH
/* -------------------------------------------------------------------------- */
#include "tamaas.hh"
#include <expolit/expolit>
/* -------------------------------------------------------------------------- */
namespace tamaas {
namespace ex = expolit;
template <UInt interpolation_order>
class ExponentialElement;
template <>
class ExponentialElement<1> {
private:
static constexpr auto z = ex::Polynomial<Real, 1>({0, 1});
public:
static constexpr std::array<ex::Polynomial<Real, 1>, 2> shapes = {
(0.5 + (-0.5) * z), (0.5 + 0.5 * z)};
static constexpr auto sign(bool upper) { return (upper) ? -1 : 1; }
template <bool upper, UInt shape>
static constexpr auto g0(Real q) {
return ex::exp((q * sign(upper)) * z) * shapes[shape];
}
template <bool upper, UInt shape>
static constexpr auto g1(Real q) {
return ex::exp((q * sign(upper)) * z) * (q * z * shapes[shape]);
}
};
} // namespace tamaas
#endif // ELEMENT_HH

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