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tamaas/src/surface/isopowerlaw.hh
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isopowerlaw.hh
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2016 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 ISOPOWERLAW_H
#define ISOPOWERLAW_H
/* -------------------------------------------------------------------------- */
#include "filter.hh"
#include "grid_hermitian.hh"
#include "tamaas.hh"
#include "types.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
/// Class representing an isotropic power law spectrum
template <UInt dim>
class Isopowerlaw : public Filter<dim> {
public:
/// Default constructor
Isopowerlaw(){};
/// Destructor
virtual ~Isopowerlaw(){};
public:
/// Compute filter coefficients
virtual void
computeFilter(GridHermitian<Real, dim>& filter_coefficients) const;
/// Compute a point of the PSD
inline Real operator()(const VectorProxy<Real>& 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>
inline Real Isopowerlaw<dim>::operator()(const VectorProxy<Real>& 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 + 1));
return std::sqrt(val);
}
__END_TAMAAS__
#endif // ISOPOWERLAW_H
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