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Wed, Jun 19, 02:14

regularized_powerlaw.hh
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2019 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 REGULARIZED_POWERLAW_H
#define REGULARIZED_POWERLAW_H
/* -------------------------------------------------------------------------- */
#include "filter.hh"
#include "grid_hermitian.hh"
#include "static_types.hh"
#include "tamaas.hh"
/* -------------------------------------------------------------------------- */
namespace tamaas {
/// Class representing an isotropic power law spectrum
template <UInt dim>
class RegularizedPowerlaw : public Filter<dim> {
public:
/// Compute filter coefficients
virtual void
computeFilter(GridHermitian<Real, dim>& filter_coefficients) const;
/// Compute a point of the PSD
CUDA_LAMBDA inline Real operator()(const VectorProxy<Real, dim>& q_vec) const;
public:
TAMAAS_ACCESSOR(q1, UInt, Q1);
TAMAAS_ACCESSOR(q2, UInt, Q2);
TAMAAS_ACCESSOR(hurst, Real, Hurst);
protected:
UInt q1, q2;
Real hurst;
};
/* -------------------------------------------------------------------------- */
/* Inline implementations */
/* -------------------------------------------------------------------------- */
template <UInt dim>
CUDA_LAMBDA inline Real RegularizedPowerlaw<dim>::
operator()(const VectorProxy<Real, dim>& q_vec) const {
const Real C = 1.;
const Real q = q_vec.l2norm();
Real val;
if (q > q2)
val = 0;
else
val = C * std::pow(1 + (q / q1) * (q / q1), -(hurst + 1));
return std::sqrt(val);
}
} // namespace tamaas
#endif // REGULARIZED_POWERLAW_H

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