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/* This file is part of the Gudhi Library. The Gudhi library
* (Geometric Understanding in Higher Dimensions) is a generic C++
* library for computational topology.
*
* Author(s): Mathieu Carriere
*
* Copyright (C) 2018 INRIA (France)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef WEIGHT_FUNCTIONS_H_
#define WEIGHT_FUNCTIONS_H_
// gudhi include
#include <gudhi/read_persistence_from_file.h>
#include <gudhi/common_persistence_representations.h>
// standard include
#include <cmath>
#include <iostream>
#include <vector>
#include <limits>
#include <fstream>
#include <sstream>
#include <algorithm>
#include <string>
#include <utility>
#include <functional>
namespace Gudhi {
namespace Persistence_representations {
/** \fn static double pss_weight(std::pair<double,double> p)
* \brief Persistence Scale Space kernel weight function.
* \ingroup Persistence_representations
*
* @param[in] p point in 2D.
*/
static double pss_weight(std::pair<double,double> p) {if(p.second > p.first) return 1; else return -1;}
/** \fn static double linear_weight(std::pair<double,double> p)
* \brief Linear weight function.
* \ingroup Persistence_representations
*
* @param[in] p point in 2D.
*/
static double linear_weight(std::pair<double,double> p) {return std::abs(p.second - p.first);}
/** \fn static double const_weight(std::pair<double,double> p)
* \brief Constant weight function.
* \ingroup Persistence_representations
*
* @param[in] p point in 2D.
*/
static double const_weight(std::pair<double,double> p) {return 1;}
/** \fn static std::function<double (std::pair<double,double>) > arctan_weight(double C, double alpha)
* \brief Returns the arctan weight function with parameters C and alpha.
* \ingroup Persistence_representations
*
* @param[in] C positive constant.
* @param[in] alpha positive power.
*/
static std::function<double (std::pair<double,double>) > arctan_weight(double C, double alpha) {return [=](std::pair<double,double> p){return C * atan(std::pow(std::abs(p.second - p.first), alpha));};}
} // namespace Persistence_representations
} // namespace Gudhi
#endif // WEIGHT_FUNCTIONS_H_
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