geometryr.h

足球机器人仿真组SimuroSot11vs11的源程序。

	// Set- and Get methods for derived position information
	void               SetVecPosition         ( double            dX = 0,
	double            dY = 0,
	CoordSystemT      cs = CARTESIAN);
	double             GetDistanceTo          ( const VecPosition p             );
	VecPosition        SetMagnitude           ( double            d             );
	double             GetMagnitude           (                           ) const;
	AngRad             GetDirection           (                           ) const;

	// comparison methods for positions
	bool               IsRightOf            ( const VecPosition &p            );
	bool               IsRightOf            ( const double      &d            );
	bool               IsLeftOf             ( const VecPosition &p            );
	bool               IsLeftOf             ( const double      &d            );
	bool               IsButtomOf               ( const VecPosition &p            );
	bool               IsButtomOf               ( const double      &d            );
	bool               IsTopOf              ( const VecPosition &p            );
	bool               IsTopOf              ( const double      &d            );
	bool               IsBetweenX             ( const VecPosition &p1,
	const VecPosition &p2           );
	bool               IsBetweenX             ( const double      &d1,
	const double      &d2           );
	bool               IsBetweenY             ( const VecPosition &p1,
	const VecPosition &p2           );
	bool               IsBetweenY             ( const double      &d1,
	const double      &d2           );

	// conversion methods for positions
	VecPosition        Normalize              (                                 );
	VecPosition        Rotate                 ( AngRad            angle         );
	VecPosition        GlobalToRelative       ( VecPosition       orig,
	AngRad            ang           );
	VecPosition        RelativeToGlobal       ( VecPosition       orig,
	AngRad            ang           );
	VecPosition        GetVecPositionOnLineFraction( VecPosition  &p,
	double            dFrac         );

	// static class methods
	static VecPosition GetVecPositionFromPolar( double            dMag,
	AngRad            ang           );
	static AngRad      NormalizeAngle         ( AngRad            angle         );
	static AngRad      NormalizeAngle2PI      ( AngRad            angle         );
};

/******************************************************************************/
/*********************   CLASS GEOMETRY   *************************************/
/******************************************************************************/

/*! This class contains several static methods dealing with geometry.*/
class Geometry
{

	public:

	// geometric series
	static double GetLengthGeomSeries(double dFirst,double dRatio,double dSum   );
	static double GetSumGeomSeries   (double dFirst,double dRatio,double dLength);
	static double GetSumInfGeomSeries(double dFirst,double dRatio               );
	static double GetFirstGeomSeries (double dSum,  double dRatio,double dLength);
	static double GetFirstInfGeomSeries(double dSum,double dRatio               );

	// abc formula
	static int    AbcFormula(double a,double b, double c, double *s1, double *s2);
};

/******************************************************************************/
/********************** CLASS CIRCLE ******************************************/
/******************************************************************************/

/*!This class represents a circle. A circle is defined by one VecPosition
(which denotes the center) and its radius. */
class Circle
{
	VecPosition m_posCenter;            /*!< Center of the circle  */
	double      m_dRadius;              /*!< Radius of the circle  */

	public:
	Circle( );
	Circle( VecPosition pos, double dR );

	void        Show                  ();

	// Get and Set methods
	bool        SetCircle             ( VecPosition pos,
	double      dR  );
	bool        SetRadius             ( double dR       );
	double      GetRadius             (                 );
	bool        SetCenter             ( VecPosition pos );
	VecPosition GetCenter             (                 );
	double      GetCircumference      (                 );
	double      GetArea               (                 );

	// Calculate intersection points and area with other circle
	bool        IsInside              ( VecPosition pos );
	int         GetIntersectionPoints ( Circle      c,
	VecPosition *p1,
	VecPosition *p2 );
	double      GetIntersectionArea   ( Circle c        );


}  ;

/******************************************************************************/
/*********************** CLASS LINE *******************************************/
/******************************************************************************/

/*!This class contains the representation of a line. A line is defined
by the formula ay + bx + c = 0. The coefficients a, b and c are stored
and used in the calculations. */
class Line
{
	// a line is defined by the formula: ay + bx + c = 0
	double m_a; /*!< This is the a coefficient in the line ay + bx + c = 0 */
	double m_b; /*!< This is the b coefficient in the line ay + bx + c = 0 */
	double m_c; /*!< This is the c coefficient in the line ay + bx + c = 0 */

	public:
		VecPosition GetPointInLine(VecPosition pos1, double dDistance);
	Line( double a, double b, double c );
	Line();

	// print methods
	void        Show();

	// Get intersection points with this line
	VecPosition GetIntersection            ( Line        line                   );
	int         GetCircleIntersectionPoints( Circle      circle,
	VecPosition *posSolution1,
	VecPosition *posSolution2          );
	Line        GetPerpendicularLine       ( VecPosition pos                    );
	VecPosition GetPointOnLineClosestTo    ( VecPosition pos                    );
	double      GetDistanceWithPoint       ( VecPosition pos                    );
	bool        IsInBetween                ( VecPosition pos,
	VecPosition point1,
	VecPosition point2                 );

	// Calculate associated variables in the line
	double GetYGivenX                      ( double      x );
	double GetXGivenY                      ( double      y );
	double GetACoefficient                 (               ) const;
	double GetBCoefficient                 (               ) const;
	double GetCCoefficient                 (               ) const;

	double GetSlope() const { return -m_b/m_a; };

	// static methods to Make a line using an easier representation.
	static Line MakeLineFromTwoPoints      ( VecPosition pos1,
	VecPosition pos2                   );
	static Line MakeLineFromPositionAndAngle( VecPosition vec,
	AngRad angle                       );
};

/******************************************************************************/
/********************** CLASS RECTANGLE ***************************************/
/******************************************************************************/

/*!This class represents a rectangle. A rectangle is defined by two VecPositions
the one at the upper left corner and the one at the right bottom. */
class Rect
{
	VecPosition m_posLeftTop;     /*!< top left position of the rectangle       */
	VecPosition m_posRightBottom; /*!< bottom right position of the rectangle   */

	public:
	Rect                          ( VecPosition pos, VecPosition pos2 );
	Rect					() {};
	

	void        Show              (                );

	// checks whether point lies inside the rectangle
	bool        IsInside          ( VecPosition pos                   );

	// standard Get and Set methosd
	void        SetRectanglePoints( VecPosition pos1,
	VecPosition pos2                  );
	bool        SetPosLeftTop     ( VecPosition pos                   );
	VecPosition GetPosLeftTop     (                    );
	bool        SetPosRightBottom ( VecPosition pos                   );
	VecPosition GetPosRightBottom (                    );

	void        SetLeft(double x) { m_posLeftTop.SetX(x) ; };
	void        SetTop(double y) { m_posLeftTop.SetY(y) ; };
	void        SetRight(double x) { m_posRightBottom.SetX(x) ; };
	void        SetBottom(double y) { m_posRightBottom.SetY(y) ; };
};

#endif