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// Copyright (C) 2016 EDF
// All Rights Reserved
// This code is published under the GNU Lesser General Public License (GNU LGPL)
#ifndef SPARSEGRIDQUADNOBOUND_H
#define SPARSEGRIDQUADNOBOUND_H
#include <Eigen/Dense>
#include "StOpt/core/sparse/sparseGridTypes.h"
#include "StOpt/core/sparse/SparseGridHierarDehierarNoBound.h"
/** \file SparseGridQuadNoBound.h
* \brief Regroup hierarchization and dehierarchization for quadratic sparse grids
* \author Xavier Warin
*/
namespace StOpt
{
/// \defgroup qudSparseNoBound Quadratic Hierarchization and Deheriarchization without boundary points
/// \brief Regroup function used in hierarchization and dehierarchization for sparse grids without any points on the boundary and a quadratic approximation per mesh
///@{
/// \class Hierar1DQuadNoBound SparseGridQuadNoBound.h
/// Hierarchization
class Hierar1DQuadNoBound : public HierarDehierarNoBound
{
protected :
/// \brief Hierarchization in given dimension in 1D
/// \param p_levelCurrent Current level of the point
/// \param p_positionCurrent Current position of the point
/// \param p_iterLevel Iteration on level
/// \param p_idim Current dimension
/// \param p_leftParentNodalValue Left parent nodal value
/// \param p_rightParentNodalValue Left parent nodal value
/// \param p_parentLinearHierarValue Linear hierarchical value of parent
/// \param p_dataSet Data structure with all the points
/// \param p_nodalValues Nodal values
/// \param p_hierarValues Hierarchized values
template< class T, class TT>
void recursive1DHierarchization(Eigen::ArrayXc &p_levelCurrent,
Eigen::ArrayXui &p_positionCurrent,
const SparseSet::const_iterator &p_iterLevel,
const unsigned int &p_idim,
const T &p_leftParentNodalValue,
const T &p_rightParentNodalValue,
const T &p_parentLinearHierarValue,
const SparseSet &p_dataSet,
const TT &p_nodalValues,
TT &p_hierarValues)
{
if (p_iterLevel == p_dataSet.end())
return ;
// position
SparseLevel::const_iterator iterPosition = p_iterLevel->second.find(p_positionCurrent);
if (iterPosition == p_iterLevel->second.end())
return ;
int iposPoint = iterPosition->second;
T valueMidle = DoubleOrArray()(p_nodalValues, iposPoint);
// if not top
// hierarchization
T linearHierar = valueMidle - 0.5 * (p_leftParentNodalValue + p_rightParentNodalValue);
// hierarchization
DoubleOrArray().affect(p_hierarValues, iposPoint, linearHierar - 0.25 * p_parentLinearHierarValue);
char oldLevel = p_levelCurrent(p_idim);
unsigned int oldPosition = p_positionCurrent(p_idim);
// child level
p_levelCurrent(p_idim) += 1;
SparseSet::const_iterator iterLevelChild = p_dataSet.find(p_levelCurrent);
// modified left and right values
T leftParentNodalValueLoc = p_leftParentNodalValue;
T rightParentNodalValueLoc = p_rightParentNodalValue;
T parentLinearHierarValueLoc = linearHierar;
if (oldLevel == 1)
{
leftParentNodalValueLoc = valueMidle;
rightParentNodalValueLoc = valueMidle;
DoubleOrArray().zero(parentLinearHierarValueLoc, p_nodalValues);
}
else if (oldPosition == 0)
{
leftParentNodalValueLoc = 2 * valueMidle - p_rightParentNodalValue;
DoubleOrArray().zero(parentLinearHierarValueLoc, p_nodalValues);
}
else if (oldPosition == lastNode[oldLevel - 1])
{
rightParentNodalValueLoc = 2 * valueMidle - p_leftParentNodalValue;
DoubleOrArray().zero(parentLinearHierarValueLoc, p_nodalValues);
}
// left
p_positionCurrent(p_idim) = 2 * oldPosition;
recursive1DHierarchization<T, TT>(p_levelCurrent, p_positionCurrent, iterLevelChild, p_idim, leftParentNodalValueLoc, valueMidle, parentLinearHierarValueLoc, p_dataSet, p_nodalValues, p_hierarValues);
// right
p_positionCurrent(p_idim) += 1;
recursive1DHierarchization<T, TT>(p_levelCurrent, p_positionCurrent, iterLevelChild, p_idim, valueMidle, rightParentNodalValueLoc, parentLinearHierarValueLoc, p_dataSet, p_nodalValues, p_hierarValues);
p_positionCurrent(p_idim) = oldPosition;
p_levelCurrent(p_idim) = oldLevel;
}
public :
/// \brief Default constructor
Hierar1DQuadNoBound() {}
/// \brief Hierarchization in given dimension in 1D
/// \param p_levelCurrent Current level of the point
/// \param p_positionCurrent Current position of the point
/// \param p_iterLevel Iterator on current level
/// \param p_idim Current dimension
/// \param p_dataSet Data structure with all the points
/// \param p_nodalValues Nodal values
/// \param p_hierarValues Hierarchical values
template< class T, class TT>
void operator()(Eigen::ArrayXc &p_levelCurrent,
Eigen::ArrayXui &p_positionCurrent,
const SparseSet::const_iterator &p_iterLevel,
const unsigned int &p_idim,
const SparseSet &p_dataSet,
const TT &p_nodalValues,
TT &p_hierarValues)
{
// left and right value
T leftValue ;
DoubleOrArray().zero(leftValue, p_nodalValues);
T rightValue ;
DoubleOrArray().zero(rightValue, p_nodalValues);
T parentValue ;
DoubleOrArray().zero(parentValue, p_nodalValues);
recursive1DHierarchization<T, TT>(p_levelCurrent, p_positionCurrent, p_iterLevel, p_idim, leftValue, rightValue, parentValue, p_dataSet, p_nodalValues, p_hierarValues);
}
};
/// \class Dehierar1DQuadNoBound SparseGridQuadNoBound.h
/// Dehierarchization
class Dehierar1DQuadNoBound: public HierarDehierarNoBound
{
protected :
/// \brief Dehierarchization 1D in given dimension (modified bound)
/// \param p_levelCurrent Current level of the point
/// \param p_positionCurrent Current position of the point
/// \param p_iterLevel Iterator on current level
/// \param p_idim Current dimension
/// \param p_leftParentHierarValue Left parent nodal value
/// \param p_rightParentHierarValue Right parent nodal value
/// \param p_linearHierarParent Linear hierarchical value of parent
/// \param p_dataSet Data structure with all the points
/// \param p_hierarValues Hierarchical values
/// \param p_nodalValues Nodal values
template< class T, class TT>
void recursive1DDehierarchization(Eigen::ArrayXc &p_levelCurrent,
Eigen::ArrayXui &p_positionCurrent,
const SparseSet::const_iterator &p_iterLevel,
const unsigned int &p_idim,
const T &p_leftParentHierarValue,
const T &p_rightParentHierarValue,
const T &p_linearHierarParent,
const SparseSet &p_dataSet,
const TT &p_hierarValues,
TT &p_nodalValues)
{
if (p_iterLevel == p_dataSet.end())
return ;
// position
SparseLevel::const_iterator iterPosition = p_iterLevel->second.find(p_positionCurrent);
if (iterPosition == p_iterLevel->second.end())
return ;
// position
int iposPoint = iterPosition->second;
T valueMidle = DoubleOrArray()(p_hierarValues, iposPoint);
// do dehierarchization
// calculation linear hierarchical coefficient
T linearHierarchical = valueMidle + 0.25 * p_linearHierarParent;
valueMidle = linearHierarchical + 0.5 * (p_leftParentHierarValue + p_rightParentHierarValue);
DoubleOrArray().affect(p_nodalValues, iposPoint, valueMidle);
char oldLevel = p_levelCurrent(p_idim);
unsigned int oldPosition = p_positionCurrent(p_idim);
// child level
p_levelCurrent(p_idim) += 1;
SparseSet::const_iterator iterLevelChild = p_dataSet.find(p_levelCurrent);
// modified left and right values
T leftParentHierarValueLoc = p_leftParentHierarValue;
T rightParentHierarValueLoc = p_rightParentHierarValue;
T linearHierarchicalLoc = linearHierarchical;
if (oldLevel == 1)
{
leftParentHierarValueLoc = valueMidle;
rightParentHierarValueLoc = valueMidle;
DoubleOrArray().zero(linearHierarchicalLoc, p_nodalValues) ;
}
else if (oldPosition == 0)
{
// extrapolation use linear
leftParentHierarValueLoc = 2 * valueMidle - p_rightParentHierarValue;
DoubleOrArray().zero(linearHierarchicalLoc, p_nodalValues) ;
}
else if (oldPosition == lastNode[oldLevel - 1])
{
// linear extrapolation and not quadratic
rightParentHierarValueLoc = 2 * valueMidle - p_leftParentHierarValue;
DoubleOrArray().zero(linearHierarchicalLoc, p_nodalValues) ;
}
// left
p_positionCurrent(p_idim) = 2 * oldPosition;
recursive1DDehierarchization<T, TT>(p_levelCurrent, p_positionCurrent, iterLevelChild, p_idim, leftParentHierarValueLoc, valueMidle, linearHierarchicalLoc, p_dataSet, p_hierarValues, p_nodalValues);
// right
p_positionCurrent(p_idim) += 1;
recursive1DDehierarchization<T, TT>(p_levelCurrent, p_positionCurrent, iterLevelChild, p_idim, valueMidle, rightParentHierarValueLoc, linearHierarchicalLoc, p_dataSet, p_hierarValues, p_nodalValues);
p_positionCurrent(p_idim) = oldPosition;
p_levelCurrent(p_idim) = oldLevel;
}
public :
/// \brief default constructor
Dehierar1DQuadNoBound() {}
/// \brief Dehierarchization 1D in given dimension
/// \param p_levelCurrent Current level of the point
/// \param p_positionCurrent Current position of the point
/// \param p_iterLevel Iterator on current level
/// \param p_idim Current dimension
/// \param p_dataSet Data structure with all the points
/// \param p_hierarValues Hierarchical values
/// \param p_nodalValues Nodal values
template< class T, class TT>
void operator()(Eigen::ArrayXc &p_levelCurrent,
Eigen::ArrayXui &p_positionCurrent,
const SparseSet::const_iterator &p_iterLevel,
const unsigned int &p_idim,
const SparseSet &p_dataSet,
const TT &p_hierarValues,
TT &p_nodalValues)
{
T leftValue ;
DoubleOrArray().zero(leftValue, p_nodalValues);
T rightValue ;
DoubleOrArray().zero(rightValue, p_nodalValues);
T parentValue ;
DoubleOrArray().zero(parentValue, p_nodalValues);
recursive1DDehierarchization<T, TT>(p_levelCurrent, p_positionCurrent, p_iterLevel, p_idim, leftValue, rightValue, parentValue, p_dataSet, p_hierarValues, p_nodalValues);
}
};
///@}
}
#endif /* SPARSEGRIDQUADNONOUND.H */
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