VNLIterativeSparseSolverTraits.h

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 *
 *  Copyright NumFOCUS
 *
 *  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
 *
 *         https://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 VNLIterativeSparseSolverTraits_h
#define VNLIterativeSparseSolverTraits_h
 
#include "vnl/vnl_vector.h"
#include "vnl/vnl_sparse_matrix.h"
#include "vnl/vnl_sparse_matrix_linear_system.h"
#include "vnl/algo/vnl_lsqr.h"
 
template <typename T = double>
class VNLIterativeSparseSolverTraits
{
public:
  using ValueType = T;
  using MatrixType = vnl_sparse_matrix<ValueType>;
  using VectorType = vnl_vector<ValueType>;
  using SolverType = vnl_lsqr;
 
  static bool
  IsDirectSolver()
  {
    return false;
  }
 
  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)
  {
    using SparseLinearSystemType = vnl_sparse_matrix_linear_system<ValueType>;
    SparseLinearSystemType system(iA, iB);
 
    SolverType solver(system);
    return solver.minimize(oX);
  }
 
  static bool
  Solve(const MatrixType & iA,
        const VectorType & iBx,
        const VectorType & iBy,
        const VectorType & iBz,
        VectorType &       oX,
        VectorType &       oY,
        VectorType &       oZ)
  {
    bool result1 = Solve(iA, iBx, 100000, oX);
    bool result2 = Solve(iA, iBy, 100000, oY);
    bool result3 = Solve(iA, iBz, 100000, oZ);
 
    return (result1 && result2 && result3);
  }
 
  static bool
  Solve(const MatrixType & iA, const VectorType & iBx, const VectorType & iBy, VectorType & oX, VectorType & oY)
  {
    const bool result1 = Solve(iA, iBx, oX);
    const bool result2 = Solve(iA, iBy, oY);
 
    return (result1 && result2);
  }
 
  static bool
  Solve(const MatrixType & iA, const VectorType & iB, const long & iNbIter, VectorType & oX)
  {
    using SparseLinearSystemType = vnl_sparse_matrix_linear_system<ValueType>;
    SparseLinearSystemType system(iA, iB);
 
    SolverType solver(system);
    solver.set_max_iterations(iNbIter);
    return solver.minimize(oX);
  }
};
 
#endif