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// Copyright (C) 2009 Anders Logg
//
// 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/>.
//
// First added:  2009-01-01
// Last changed: 2011-07-18

#ifndef __BASIS_FUNCTION_H
#define __BASIS_FUNCTION_H

#include <ufc.h>
#include <dolfin/common/types.h>
#include <dolfin/fem/FiniteElement.h>

namespace dolfin
{

  /// This class represents a finite element basis function. It can be
  /// used for computation of basis function values and derivatives.
  ///
  /// Evaluation of basis functions is also possible through the use
  /// of the functions ``evaluate_basis`` and ``evaluate_basis_derivatives``
  /// available in the _FiniteElement_ class. The BasisFunction class
  /// relies on these functions for evaluation but also implements the
  /// ufc::function interface which allows evaluate_dof to be
  /// evaluated for a basis function (on a possibly different
  /// element).

  class BasisFunction : public ufc::function
  {
  public:

    /// Create basis function with given index on element on given cell
    ///
    /// *Arguments*
    ///     index (uint)
    ///         The index of the basis function.
    ///     element (_FiniteElement_)
    ///         The element to create basis function on.
    ///     cell (ufc::cell)
    ///         The cell.
    BasisFunction(uint index, const FiniteElement& element, const ufc::cell& cell)
      : index(index), element(element), cell(cell) {}

    /// Destructor
    ~BasisFunction() {}

    /// Evaluate basis function at given point
    ///
    /// *Arguments*
    ///     values (double)
    ///         The values of the function at the point.
    ///     x (double)
    ///         The coordinates of the point.
    void eval(double* values, const double* x) const
    { element.evaluate_basis(index, values, x, cell); }

    /// Evaluate all order n derivatives at given point
    ///
    /// *Arguments*
    ///     values (double)
    ///         The values of derivatives at the point.
    ///     x (double)
    ///         The coordinates of the point.
    ///     n (uint)
    ///         The order of derivation.
    void eval_derivatives(double* values, const double* x, uint n) const
    { element.evaluate_basis_derivatives(index, n, values, x, cell); }

    //--- Implementation of ufc::function interface ---

    /// Evaluate function at given point in cell
    ///
    /// *Arguments*
    ///     values (double)
    ///         The values of the function at the point..
    ///     coordinates (double)
    ///         The coordinates of the point.
    ///     cell (ufc::cell)
    ///         The cell.
    void evaluate(double* values,
                  const double* coordinates,
                  const ufc::cell& cell) const
    { eval(values, coordinates); }

  private:

    /// The index
    uint index;

    /// The finite element
    const FiniteElement& element;

    /// The (UFC) cell
    const ufc::cell& cell;

  };

}

#endif