VectorSpaceBasis.h

// Copyright (C) 2013-2017 Patrick E. Farrell and Garth N. Wells
//
// This file is part of DOLFIN.
//
// DOLFIN is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// DOLFIN is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.
 
#ifndef __VECTOR_SPACE_BASIS_H
#define __VECTOR_SPACE_BASIS_H
 
#include <memory>
#include <vector>
 
namespace dolfin
{
 
  class GenericVector;

 
  class VectorSpaceBasis
  {
  public:

    VectorSpaceBasis(const std::vector<std::shared_ptr<GenericVector>> basis);

    ~VectorSpaceBasis() {}

    void orthonormalize(double tol=1.0e-10);

    bool is_orthonormal(double tol=1.0e-10) const;

    bool is_orthogonal(double tol=1.0e-10) const;

    void orthogonalize(GenericVector& x) const;

    std::size_t dim() const;

    std::shared_ptr<const GenericVector> operator[] (std::size_t i) const;
 
  private:
 
    // Basis vectors
    const std::vector<std::shared_ptr<GenericVector>> _basis;
 
  };
}
 
#endif