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tamaas/src/surface/isopowerlaw.hh
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isopowerlaw.hh
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/**
* @file
* @section LICENSE
*
* Copyright (©) 2016-2020 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 ISOPOWERLAW_H
#define ISOPOWERLAW_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 Isopowerlaw : public Filter<dim> {
public:
/// Compute filter coefficients
void
computeFilter(GridHermitian<Real, dim>& filter_coefficients) const override;
/// Compute a point of the PSD
CUDA_LAMBDA inline Real operator()(const VectorProxy<Real, dim>& q_vec) const;
/// Analytical rms of heights
Real rmsHeights() const;
/// Analytical moments
std::vector<Real> moments() const;
/// Analytical Nayak's parameter
Real alpha() const;
/// Analytical RMS slopes
Real rmsSlopes() const;
public:
TAMAAS_ACCESSOR(q0, UInt, Q0);
TAMAAS_ACCESSOR(q1, UInt, Q1);
TAMAAS_ACCESSOR(q2, UInt, Q2);
TAMAAS_ACCESSOR(hurst, Real, Hurst);
protected:
UInt q0, q1, q2;
Real hurst;
};
/* -------------------------------------------------------------------------- */
/* Inline implementations */
/* -------------------------------------------------------------------------- */
template <UInt dim>
CUDA_LAMBDA inline Real Isopowerlaw<dim>::
operator()(const VectorProxy<Real, dim>& q_vec) const {
const Real C = 1.;
const Real q = q_vec.l2norm();
Real val;
if (q < q0)
val = 0;
else if (q > q2)
val = 0;
else if (q < q1)
val = C;
else
val = C * std::pow((q / q1), -(2. * hurst + dim));
return std::sqrt(val);
}
} // namespace tamaas
#endif // ISOPOWERLAW_H
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