Mesh.h

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/* 
 *  Copyright (c) 2012, Chris Rogers
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 *     prior written permission.
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#include <ostream>
#include <vector>

#ifndef _CLASSIC_FIELDS_MESH_H_
#define _CLASSIC_FIELDS_MESH_H_

namespace interpolation {

class VectorMap;

class Mesh {
  public:
    class Iterator;

    inline Mesh();
    virtual Mesh::Iterator begin() const = 0;

    virtual Mesh::Iterator end()   const = 0;

    virtual Mesh* clone() = 0;

    virtual Mesh* dual() const = 0;

    inline virtual ~Mesh();

    virtual void getPosition
                        (const Mesh::Iterator& it, double * position) const = 0;

    virtual int  getPositionDimension() const = 0;

    virtual int  toInteger(const Mesh::Iterator& lhs) const = 0;

    virtual Mesh::Iterator getNearest(const double* position) const = 0;

  protected:
    virtual Mesh::Iterator& addEquals
                                (Mesh::Iterator& lhs, int difference) const = 0;

    virtual Mesh::Iterator& subEquals
                                (Mesh::Iterator& lhs, int difference) const = 0;

    virtual Mesh::Iterator& addEquals
                    (Mesh::Iterator& lhs, const Mesh::Iterator& rhs) const = 0;

    virtual Mesh::Iterator& subEquals
                     (Mesh::Iterator& lhs, const Mesh::Iterator& rhs) const = 0;

    virtual Mesh::Iterator& addOne(Mesh::Iterator& lhs) const = 0;

    virtual Mesh::Iterator& subOne(Mesh::Iterator& lhs) const = 0;

    virtual bool isGreater
               (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs) const = 0;

  public:
    // Iterator needs to know about internal workings of the Mesh to work
    // properly
    friend Mesh::Iterator  operator++(Mesh::Iterator& lhs, int);
    friend Mesh::Iterator  operator--(Mesh::Iterator& lhs, int);
    friend Mesh::Iterator& operator++(Mesh::Iterator& lhs);
    friend Mesh::Iterator& operator--(Mesh::Iterator& lhs);
    friend Mesh::Iterator  operator-
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator  operator+
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator& operator-=
                        (Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator& operator+=
                        (Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator  operator-
                        (const Mesh::Iterator& lhs, const int& rhs);
    friend Mesh::Iterator  operator+
                        (const Mesh::Iterator& lhs, const int& rhs);
    friend Mesh::Iterator& operator-=
                        (Mesh::Iterator& lhs, const int& rhs);
    friend Mesh::Iterator& operator+=
                        (Mesh::Iterator& lhs, const int& rhs);

    friend bool operator==
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator!=
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator>=
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator<=
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator<
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator>
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
};


class Mesh::Iterator {
  public:
    inline Iterator();

    inline Iterator(const Mesh::Iterator& in);

    inline Iterator(std::vector<int> state, const Mesh* mesh);

    inline virtual ~Iterator();

    inline const Mesh::Iterator&  operator=(const Mesh::Iterator& rhs);

    inline virtual void getPosition(double* point) const;

    inline virtual std::vector<double> getPosition() const;

    inline int toInteger() const;

    inline std::vector<int> getState() const;

    inline int& operator[](int i);

    inline const int& operator[](int i) const;

    inline const Mesh* getMesh() const;

    friend class Mesh;
    friend class TwoDGrid;
    friend class ThreeDGrid;
    friend class NDGrid;
    friend class TriangularMesh;

    friend Mesh::Iterator  operator++(Mesh::Iterator& lhs, int);
    friend Mesh::Iterator  operator--(Mesh::Iterator& lhs, int);
    friend Mesh::Iterator& operator++(Mesh::Iterator& lhs);
    friend Mesh::Iterator& operator--(Mesh::Iterator& lhs);
    friend Mesh::Iterator  operator-
                        (const Mesh::Iterator& lhs, const int& difference);
    friend Mesh::Iterator  operator+
                        (const Mesh::Iterator& lhs, const int& difference);
    friend Mesh::Iterator& operator-=
                        (Mesh::Iterator& lhs, const int& difference);
    friend Mesh::Iterator& operator+=
                        (Mesh::Iterator& lhs, const int& difference);
    friend Mesh::Iterator  operator-
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator  operator+
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator& operator-=
                        (Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend Mesh::Iterator& operator+=
                        (Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

    friend bool operator==
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator!=
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator>=
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator<=
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator<
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);
    friend bool operator>
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

  private:
    const Mesh*      mesh_m;
    std::vector<int> state_m;
};

inline Mesh::Iterator& operator++(Mesh::Iterator& lhs);

inline Mesh::Iterator& operator--(Mesh::Iterator& lhs);

inline Mesh::Iterator  operator++(Mesh::Iterator& lhs, int);

inline Mesh::Iterator  operator--(Mesh::Iterator& lhs, int);

inline Mesh::Iterator  operator-
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline Mesh::Iterator  operator+
                        (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline Mesh::Iterator& operator-=
                              (Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline Mesh::Iterator& operator+=
                              (Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline Mesh::Iterator  operator- (const Mesh::Iterator& lhs, const int& rhs);

inline Mesh::Iterator  operator+ (const Mesh::Iterator& lhs, const int& rhs);

inline Mesh::Iterator& operator-=(Mesh::Iterator& lhs, const int& rhs);

inline Mesh::Iterator& operator+=(Mesh::Iterator& lhs, const int& rhs);

inline bool operator==(const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline bool operator!=(const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline bool operator>=(const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline bool operator<=(const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline bool operator< (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

inline bool operator> (const Mesh::Iterator& lhs, const Mesh::Iterator& rhs);

std::ostream& operator<<(std::ostream& out, const Mesh::Iterator& it);

}

#include "Fields/Interpolation/Mesh-inl.icc"

#endif