public Line2D GetNormalLine(Point2D point)
{
double c = EqB*point.X - EqA*point.Y;
var tempLine = new Line2D(-EqB, EqA, c, Normal, point);
Point2D crossPoint = Geometry.GetCrossing(this, tempLine);
return new Line2D(crossPoint, point);
}
public static bool GetCrossing(Segment2D segment1, Segment2D segment2, out Point2D crossingPoint)
{
var line1 = new Line2D(segment1.Start, segment1.Finish);
var line2 = new Line2D(segment2.Start, segment2.Finish);
crossingPoint = GetCrossing(line1, line2);
var p = (crossingPoint.X - segment1.Finish.X) / (segment1.Start.X - segment1.Finish.X);
return (0 <= p && p <= 1) && (crossingPoint.Y.Equals((p * segment1.Start.Y - (1 - p) * segment1.Finish.Y)));
}
public static Point2D GetCrossing(Line2D line1, Line2D line2)
{
double a1 = line1.Direction.X,
b1 = line1.Direction.Y,
a2 = line2.Direction.X,
b2 = line2.Direction.Y,
c1 = line2.Begin.X - line1.Begin.X,
c2 = line2.Begin.Y - line1.Begin.Y;
double t1 = (b2*c1 - a2*c2)/(a1*b2 - a2*b1);
return new Point2D(line1.Begin.X + a1*t1, line1.Begin.Y + b1*t1);
}
public Line2D Apply(Line2D arg)
{
return new Line2D(Apply(arg.Begin), Apply(arg.End));
}
public Line2D Apply(Line2D arg)
{
return(new Line2D(Apply(arg.Begin), Apply(arg.End)));
}
public static double Distance(Point2D point, Line2D line)
{
Point2D vector = point - line.Begin;
return vector.MultiplyVector(line.Direction).Norm()/line.Direction.Norm();
}
public static bool IsParallel(Line2D line1, Line2D line2)
{
return AreCollinear(line1.Direction, line2.Direction);
}
public static double Distance(Point2D point, Line2D line)
{
Point2D vector = point - line.Begin;
return(vector.MultiplyVector(line.Direction).Norm() / line.Direction.Norm());
}
public static bool IsParallel(Line2D line1, Line2D line2)
{
return(AreCollinear(line1.Direction, line2.Direction));
}
