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tamaas/src/model/integration/element.hh
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element.hh
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/**
* @file
* LICENSE
*
* Copyright (©) 2016-2021 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published
* by the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef ELEMENT_HH
#define ELEMENT_HH
/* -------------------------------------------------------------------------- */
#include "tamaas.hh"
#include <expolit/expolit>
/* -------------------------------------------------------------------------- */
namespace tamaas {
template <UInt interpolation_order>
class ExponentialElement;
template <>
class ExponentialElement<1> {
private:
static constexpr auto z = expolit::Polynomial<Real, 1>({0, 1});
public:
static constexpr std::array<expolit::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 expolit::exp((q * sign(upper)) * z) * shapes[shape];
}
template <bool upper, UInt shape>
static constexpr auto g1(Real q) {
return expolit::exp((q * sign(upper)) * z) * (q * z * shapes[shape]);
}
};
} // namespace tamaas
#endif // ELEMENT_HH
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