/usr/include/ITK-4.12/VNLSparseLUSolverTraits.h is in libinsighttoolkit4-dev 4.12.2-dfsg1-1ubuntu1.
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*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef __VNLSparseLUSolverTraits_h
#define __VNLSparseLUSolverTraits_h
#include "vnl/vnl_vector.h"
#include "vnl/vnl_sparse_matrix.h"
#include "vnl/algo/vnl_sparse_lu.h"
/** \class VNLSparseLUSolverTraits
* \brief Generic interface for sparse LU solver.
*
* This generic interface (common to several sparse solvers), allow to
* interchange solver solutions when dealing with sparse linear systems. See
* itk::ParameterizationQuadEdgeMeshFilter for reference.
*
* It internally uses the VNL library to represent and deal with vectors
* (vnl_vector) and sparse matrices (vnl_sparse_matrix). The solver by itself
* is made of a sparse LU decomposition followed by solving upper triangular
* system. see vnl_sparse_lu for more details on the method used.
*
* \ingroup ITKCommon
*
* \sa VNLIterativeSparseSolverTraits:w
*/
template< typename T = double >
class VNLSparseLUSolverTraits
{
public:
typedef T ValueType;
typedef vnl_sparse_matrix< ValueType > MatrixType;
typedef vnl_vector< ValueType > VectorType;
typedef vnl_sparse_lu SolverType;
/** \return false (it is not a direct solver, it is an iterative solver) */
static bool IsDirectSolver()
{
return true;
}
/** \brief initialize a square sparse matrix of size iN x iN */
static MatrixType InitializeSparseMatrix(const unsigned int & iN)
{
return MatrixType(iN, iN);
}
/** \brief initialize a sparse matrix of size iRow x iCol */
static MatrixType InitializeSparseMatrix(const unsigned int & iRow, const unsigned int& iCol)
{
return MatrixType(iRow, iCol);
}
/** \brief initialize a vector of size iN */
static VectorType InitializeVector(const unsigned int & iN)
{
return VectorType(iN);
}
/** \brief iA[iR][iC] = iV */
static void FillMatrix(MatrixType & iA, const unsigned int & iR, const unsigned int & iC, const ValueType & iV)
{
iA(iR, iC) = iV;
}
/** \brief iA[iR][iC] += iV */
static void AddToMatrix(MatrixType & iA, const unsigned int & iR, const unsigned int & iC, const ValueType & iV)
{
iA(iR, iC) += iV;
}
/** \brief Solve the linear system \f$ iA \cdot oX = iB \f$ */
static bool Solve(const MatrixType & iA, const VectorType & iB, VectorType & oX)
{
SolverType solver( iA );
Solve( solver, iB, oX );
return true;
}
/** \brief Solve the linear systems: \f$ iA \cdot oX = iBx \f$, \f$ iA \cdot oY = iBy \f$, \f$ iA \cdot oZ = iBz \f$ */
static bool Solve(const MatrixType & iA,
const VectorType & iBx, const VectorType & iBy, const VectorType & iBz,
VectorType & oX, VectorType & oY, VectorType & oZ )
{
SolverType solver( iA );
Solve( solver, iBx, iBy, iBz, oX, oY, oZ );
return true;
}
/** \brief Solve the linear systems: \f$ iA \cdot oX = iBx \f$, \f$ iA \cdot oY = iBy \f$ */
static bool Solve(const MatrixType & iA,
const VectorType & iBx, const VectorType & iBy,
VectorType & oX, VectorType & oY)
{
SolverType solver( iA );
Solve( solver, iBx, iBy, oX, oY );
return true;
}
/** \brief Solve the linear system \f$ iA \cdot oX = iB \f$ factoring the internal matrix if needed */
static void Solve( SolverType & solver, const VectorType & iB, VectorType & oX )
{
oX = solver.solve( iB );
}
/** \brief Solve the linear systems: \f$ iA \cdot oX = iBx \f$, \f$ iA \cdot oY = iBy \f$, \f$ iA \cdot oZ = iBz \f$ factoring the internal matrix if needed */
static void Solve( SolverType & solver,
const VectorType & iBx, const VectorType & iBy, const VectorType & iBz,
VectorType & oX, VectorType & oY, VectorType & oZ )
{
oX = solver.solve( iBx );
oY = solver.solve( iBy );
oZ = solver.solve( iBz );
}
/** \brief Solve the linear systems: \f$ iA \cdot oX = iBx \f$, \f$ iA \cdot oY = iBy \f$ factoring the internal matrix if needed */
static void Solve( SolverType & solver,
const VectorType & iBx, const VectorType & iBy,
VectorType & oX, VectorType & oY )
{
oX = solver.solve( iBx );
oY = solver.solve( iBy );
}
};
#endif
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