VNLSparseLUSolverTraits.h

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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
 *
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 *  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.
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 *=========================================================================*/
#ifndef __VNLSparseLUSolverTraits_h
#define __VNLSparseLUSolverTraits_h

#include "vnl/vnl_vector.h"
#include "vnl/vnl_sparse_matrix.h"
#include "vnl/algo/vnl_sparse_lu.h"

template< typename T = double >
class VNLSparseLUSolverTraits
{
public:
  using ValueType = T;
  using MatrixType = vnl_sparse_matrix< ValueType >;
  using VectorType = vnl_vector< ValueType >;
  using SolverType = vnl_sparse_lu;

  static bool IsDirectSolver()
  {
    return true;
  }

  static MatrixType InitializeSparseMatrix(const unsigned int & iN)
  {
    return MatrixType(iN, iN);
  }

  static MatrixType InitializeSparseMatrix(const unsigned int & iRow, const unsigned int& iCol)
  {
    return MatrixType(iRow, iCol);
  }

  static VectorType InitializeVector(const unsigned int & iN)
  {
    return VectorType(iN);
  }

  static void FillMatrix(MatrixType & iA, const unsigned int & iR, const unsigned int & iC, const ValueType & iV)
  {
    iA(iR, iC) = iV;
  }

  static void AddToMatrix(MatrixType & iA, const unsigned int & iR, const unsigned int & iC, const ValueType & iV)
  {
    iA(iR, iC) += iV;
  }

  static bool Solve(const MatrixType & iA, const VectorType & iB, VectorType & oX)
  {
    SolverType solver( iA );
    Solve( solver, iB, oX );

    return true;
  }

  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;
  }

  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;
  }

  static void Solve( SolverType & solver, const VectorType & iB, VectorType & oX )
  {
    oX = solver.solve( iB );
  }

  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 );
  }

  static void Solve( SolverType & solver,
             const VectorType & iBx, const VectorType & iBy,
             VectorType & oX, VectorType & oY )
  {
    oX = solver.solve( iBx );
    oY = solver.solve( iBy );
  }
};

#endif