geometry/ring_chart.h

// -*- c++ -*-

// +--------------------------------------------------------------------+
// | This file is part of MathTL - the Mathematical Template Library    |
// |                                                                    |
// | Copyright (c) 2002-2009                                            |
// | Thorsten Raasch, Manuel Werner                                     |
// +--------------------------------------------------------------------+

#ifndef _MATHTL_RING_CHART_H
#define _MATHTL_RING_CHART_H

#include <geometry/chart.h>

using std::string;

namespace MathTL
{
  class RingChart
    : public Chart<2,2>
  {
  public:
    RingChart(const double r0, const double r1);

    virtual ~RingChart();

    void map_point(const Point<2>& x, Point<2>& y) const;

    double map_point(const double, const int) const { return 0; }

    void map_point_inv(const Point<2>& x, Point<2>& y) const;

    double map_point_inv(const double, const int) const { return 0; }
    
    const double Gram_factor(const Point<2>& x) const;

    const double Gram_D_factor(const unsigned int i,
                               const Point<2>& x) const;

    const double Dkappa_inv(const unsigned int i,
                                    const unsigned int j,
                                    const Point<2>& x) const;

    const bool in_patch(const Point<2>& x) const;

    const double a_i(const int i) const { return 1.0; };    

    const string to_string() const;
    
  protected:
    double r0_, r1_;
  };
  
}

#include "geometry/ring_chart.cpp"

#endif