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combi_map.hh

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#ifndef __COMBI_MAP_HH__
#define __COMBI_MAP_HH__

#include <label.hh>


typedef enum{right_move,up_move,left_move,down_move} move_type;

class combi_map
{
public:
  virtual dart sigma(dart) const=0;
  // we use the relationship sigma^{-1}(b)=alpha(phi^{-1}(b))
  dart sigma_1(dart b)
  {
    dart b_prev, s=phi(b);
    while(s != b)
      {
        b_prev=s;
        s=phi(s);
      }
    return alpha(b_prev);
  }
  dart phi(dart b)
  {
    return sigma(alpha(b));
  }
  virtual dart alpha(dart) const=0;
  virtual int give_nb_edge() const =0 ;
  virtual unsigned long give_background() const =0;
};

#endif // __COMBI_MAP_HH__

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