// FILE: coordsys.h
// written for the course 2172, 1999
#if !defined(_COORDSYS_H_)
#define _COORDSYS_H_

// for the definition of ostream
#include <iostream.h>


// coordinate class, 2D
class coordinate {
  protected:
    double _x,_y;  // x and y coordinates
  public:
    coordinate(double = 0,double = 0); // by default origin
    double x() const; // x
    double y() const; // y

  friend ostream& operator<<(ostream&, const coordinate&);
};


/* coordinate system
 *
 *   <xmin,ymax>                    <xmax,ymax>
 *               +----------------+
 *               |                |
 *               |                |
 *               +----------------+
 *   <xmin,ymin>                    <xmax,ymn>
 */ 
class coordsys {
  protected:
    double xmin,xmax,ymin,ymax;
  
  public:
    // coordsys(xmin,xmax,ymin,ymax)
    coordsys(double,double,double,double);

    // S.map(sys,p)
    // p is a point in system sys 
    // map returns the corrsponding 
    // coordinates of p in S
    coordinate map(coordsys,coordinate);

    // S.rotate(p,o,angle)
    // returns the coordinates of p rotated about p
    // by angle many degrees (not radians!) counter
    // clock-wise
    coordinate rotate(coordinate,coordinate,double); 

    // properties
    double minX() const; 
    double minY() const;
    double maxX() const;
    double maxY() const;

  friend ostream& operator<<(ostream&, const coordsys&);
};

#endif