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// Copyright (C) 2019 EDF
// All Rights Reserved
// This code is published under the GNU Lesser General Public License (GNU LGPL)
#ifndef LOCALADAPTCELLREGRESSION_H
#define LOCALADAPTCELLREGRESSION_H
#include <Eigen/Dense>
#include <array>
#include "StOpt/regression/BaseRegression.h"
/** \file LocalAdaptCelleRegression.h
* \brief Base class for all regressors on cells with adaptation of the size
* \author Xavier Warin
*
*/
namespace StOpt
{
/// \class LocalAdaptCellRegression LocalAdaptCellRegression.h
/// General class for local basis function with adaptation in each dimension
class LocalAdaptCellRegression : public BaseRegression
{
protected :
Eigen::ArrayXi m_nbMesh ; ///< Number of discretization meshes in each direction: copy because of python binding
int m_nbMeshTotal ; ///< Total number of meshes
Eigen::Array< std::array< double, 2>, Eigen::Dynamic, Eigen::Dynamic > m_mesh ; ///< In each dimension, for each mesh, give the coordinates min and max of the mesh.
Eigen::ArrayXi m_simToCell; ///< For each simulation gives its global mesh number
std::vector< std::shared_ptr< std::vector< int> > > m_simulBelongingToCell; ///< Utility : to each cell defines the particles lying inside
/// \brief To a particle affect to cell number
/// \param p_oneParticle One point
/// \return cell number
virtual int particleToMesh(const Eigen::ArrayXd &p_oneParticle) const = 0;
public :
/// \brief Default ructor
LocalAdaptCellRegression() {}
/// \brief Constructor
/// \param p_nbMesh discretization in each direction
/// \param p_bRotationAndRecale do we use SVD
LocalAdaptCellRegression(const Eigen::ArrayXi &p_nbMesh, const bool &p_bRotationAndRecale);
/// \brief Constructor for object constructed at each time step
/// \param p_bZeroDate first date is 0?
/// \param p_particles particles used for the meshes.
/// First dimension : dimension of the problem,
/// second dimension : the number of particles
/// \param p_nbMesh discretization in each direction
/// \param p_bRotationAndRecale do we use SVD
LocalAdaptCellRegression(const bool &p_bZeroDate,
const Eigen::ArrayXXd &p_particles,
const Eigen::ArrayXi &p_nbMesh,
const bool &p_bRotationAndRecale);
/// \brief Second constructor , only to be used in simulation
LocalAdaptCellRegression(const bool &p_bZeroDate,
const Eigen::ArrayXi &p_nbMesh,
const Eigen::Array< std::array< double, 2>, Eigen::Dynamic, Eigen::Dynamic > &p_mesh,
const Eigen::ArrayXd &p_meanX,
const Eigen::ArrayXd &p_etypX,
const Eigen::MatrixXd &p_svdMatrix,
const bool &p_bRotationAndRecale) ;
/// \brief Copy constructor
/// \param p_object object to copy
LocalAdaptCellRegression(const LocalAdaptCellRegression &p_object);
/// \brief update the particles used in regression and construct the matrices
/// \param p_bZeroDate first date is 0?
/// \param p_particles particles used for the meshes.
/// First dimension : dimension of the problem,
/// second dimension : the number of particles
virtual void updateSimulations(const bool &p_bZeroDate, const Eigen::ArrayXXd &p_particles) = 0;
/// \brief Get some local accessors
///@{
inline const Eigen::ArrayXi &getNbMesh() const
{
return m_nbMesh;
}
inline const Eigen::Array< std::array< double, 2>, Eigen::Dynamic, Eigen::Dynamic > &getMesh() const
{
return m_mesh;
}
inline const Eigen::ArrayXi &getSimToCell() const
{
return m_simToCell;
}
///@}
/// \brief Get some local accessors with copy (useful for python)
///@{
inline Eigen::ArrayXi getNbMeshCopy() const
{
return m_nbMesh;
}
inline Eigen::Array< std::array< double, 2>, Eigen::Dynamic, Eigen::Dynamic > getMeshCopy() const
{
return m_mesh;
}
inline Eigen::ArrayXi getSimToCellCopy() const
{
return m_simToCell;
}
///@}
/// \brief Get dimension of the problem
inline int getDimension() const
{
return m_nbMesh.size();
}
/// \brief get the total number of meshes
inline int getNbMeshTotal() const
{
return m_nbMeshTotal;
}
/// \brief get the total number of cells
inline int getNumberOfCells() const
{
if (m_nbMesh.size() > 0)
return m_nbMesh.prod();
return 1;
};
/// \brief To a particle get back the cell it belongs to
/// \param p_isim particle number
/// \return cell number it belongs to
inline int getCellAssociatedToSim(const int &p_isim) const
{
if (m_simToCell.size() > 0)
return m_simToCell(p_isim);
else
return 0;
}
/// \brief calculate a vector of vector of points giving for each cell the vector of points belonging to this cell
void evaluateSimulBelongingToCell();
/// \brief get particles belonging all mesh
inline const std::vector< std::shared_ptr< std::vector< int> > > &getSimulBelongingToCell() const
{
return m_simulBelongingToCell;
}
/// \brief to a particle gives its cell number
/// \param p_oneParticle One point
inline int getMeshNumberAssociatedTo(const Eigen::ArrayXd &p_oneParticle) const
{
if (((m_nbMesh.size() > 0) && (!m_bZeroDate)) && (p_oneParticle.size() != 0))
{
// rotation
Eigen::VectorXd x = p_oneParticle.matrix();
x = ((x.array() - m_meanX) / m_etypX).matrix();
x = m_svdMatrix * x;
return particleToMesh(x.array());
}
else
return 0;
}
/// \brief conditional expectation basis function coefficient calculation for a special cell
/// \param p_iCell cell number
/// \param p_fToRegress function to regress associated to each simulation used in optimization and corresponding to the cell
/// \return regression coordinates on the basis (size : the dimension of the problem plus one)
/// @{
virtual Eigen::ArrayXd getCoordBasisFunctionOneCell(const int &p_iCell, const Eigen::ArrayXd &p_fToRegress) const = 0;
virtual Eigen::ArrayXXd getCoordBasisFunctionMultipleOneCell(const int &p_iCell, const Eigen::ArrayXXd &p_fToRegress) const = 0 ;
///@}
/// \brief Given a particle and the coordinates of the mesh it belongs to, get back the conditional expectation
/// \param p_oneParticle The particle generated
/// \param p_cell the cell it belongs to
/// \param p_foncBasisCoef function basis on the current cell (the row is the number of reconstruction to achieve, the columns the number of function basis)
/// \return send back the array of conditional expectations
virtual Eigen::ArrayXd getValuesOneCell(const Eigen::ArrayXd &p_oneParticle, const int &p_cell, const Eigen::ArrayXXd &p_foncBasisCoef) const = 0;
};
}
#endif
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