GeometryUtilities.h

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#ifndef _utl_GeometryUtilities_h_
#define _utl_GeometryUtilities_h_

#include <utl/Line.h>
#include <utl/Plane.h>
#include <utl/Vector.h>
#include <utl/Point.h>
#include <vector>


namespace utl {

  class ReferenceEllipsoid;


  // intersection

  Line Intersection(const Plane& p1, const Plane& p2);


  Point Intersection(const Plane& plane, const Line& line);


  inline Point Intersection(const Line& line, const Plane& plane)
  { return Intersection(plane, line); }


  std::vector<Point> Intersection(const ReferenceEllipsoid&, const double height,
                                  const Line& line);


  // distance

  inline double Distance(const Point& p1, const Point& p2)
  { return (p1 - p2).GetMag(); }


  double Distance(const Line& line1, const Line& line2);


  double Distance(const Point& point, const Line& line);


  inline double Distance(const Line& line, const Point& point)
  { return Distance(point, line); }


  inline double Distance(const Point& point, const Plane& plane)
  { return (point - plane.GetAnchor())*plane.GetNormal(); }


  inline double Distance(const Plane& plane, const Point& point)
  { return Distance(point, plane); }


  // projection

  inline Point PerpendicularProjection(const Point& point, const Plane& plane)
  { return point - Distance(point, plane)*plane.GetNormal(); }


  inline Point PerpendicularProjection(const Plane& plane, const Point& point)
  { return PerpendicularProjection(point, plane); }

}


#endif