/usr/include/dolfin/fem/BasisFunction.h is in libdolfin1.3-dev 1.3.0+dfsg-2.
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//
// 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: 2013-03-04
#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 (std::size_t)
/// The index of the basis function.
/// element (_FiniteElement_)
/// The element to create basis function on.
/// cell (ufc::cell)
/// The cell.
BasisFunction(std::size_t index, const FiniteElement& element,
const std::vector<double>& vertex_coordinates)
: _index(index), _element(element),
_vertex_coordinates(vertex_coordinates) {}
/// 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
{
// Note: assuming cell_orientation = 0
_element.evaluate_basis(_index, values, x, _vertex_coordinates.data(),
0);
}
/// 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 (std::size_t)
/// The order of derivation.
void eval_derivatives(double* values, const double* x, std::size_t n) const
{
// Note: assuming cell_orientation = 0
_element.evaluate_basis_derivatives(_index, n, values, x,
_vertex_coordinates.data(), 0);
}
//--- 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
std::size_t _index;
// The finite element
const FiniteElement& _element;
// Cell vertex coordinates
const std::vector<double> _vertex_coordinates;
};
}
#endif
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