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statistics.hh
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statistics.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 STATISTICS_HH
#define STATISTICS_HH
/* -------------------------------------------------------------------------- */
#include "fft_engine.hh"
#include "grid.hh"
/* -------------------------------------------------------------------------- */
namespace tamaas {
/* -------------------------------------------------------------------------- */
/**
* @brief Suitcase class for all statistics related functions
*/
template <UInt dim>
struct Statistics {
/// Compute hrms
static Real computeRMSHeights(Grid<Real, dim>& surface);
/// Compute hrms' in fourier space
static Real computeSpectralRMSSlope(Grid<Real, dim>& surface);
/// Compute hrms' with finite differences
static Real computeFDRMSSlope(Grid<Real, dim>& surface);
/// Compute PSD of surface
static GridHermitian<Real, dim>
computePowerSpectrum(Grid<Real, dim>& surface);
/// Compute autocorrelation
static Grid<Real, dim> computeAutocorrelation(Grid<Real, dim>& surface);
/// Compute spectral moments
static std::vector<Real> computeMoments(Grid<Real, dim>& surface);
/// Compute (corrected) contact area fraction
static Real contact(const Grid<Real, dim>& tractions, UInt perimeter = 0);
/// Compute the area scaling factor of a periodic graph
static Real graphArea(const Grid<Real, dim>& displacement);
using PVector = VectorProxy<Real, dim>;
private:
template <class T>
static Real rmsSlopesFromPSD(const GridHermitian<Real, dim>& psd,
const Grid<T, dim>& diff);
};
/* -------------------------------------------------------------------------- */
} // namespace tamaas
#endif // STATISTICS_HH

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