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element.hh
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Sat, Jul 20, 07:51
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rTAMAAS tamaas
element.hh
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/*
* SPDX-License-Indentifier: AGPL-3.0-or-later
*
* Copyright (©) 2016-2023 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
* Copyright (©) 2020-2023 Lucas Frérot
*
* 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>
struct ExponentialElement;
template <>
struct ExponentialElement<1> {
template <UInt shape>
static constexpr __device__ __host__ expolit::Polynomial<Real, 1> shapes() {
constexpr expolit::Polynomial<Real, 1> z({0, 1});
if (shape == 0)
return 0.5 + (-0.5) * z;
return 0.5 + 0.5 * z;
}
static constexpr __device__ __host__ auto sign(bool upper) {
return (upper) ? -1 : 1;
}
template <bool upper, UInt shape>
static constexpr __device__ __host__ auto g0(Real q) {
constexpr expolit::Polynomial<Real, 1> z({0, 1});
return expolit::exp((q * sign(upper)) * z) * shapes<shape>();
}
template <bool upper, UInt shape>
static constexpr __device__ __host__ auto g1(Real q) {
constexpr expolit::Polynomial<Real, 1> z({0, 1});
return expolit::exp((q * sign(upper)) * z) * (q * z * shapes<shape>());
}
}; // namespace tamaas
} // namespace tamaas
#endif // ELEMENT_HH
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