/// <summary>
/// Checks if a Point lies in a circle
/// (This is a strictly static method for performance reasons)
/// </summary>
/// <param name="middlePoint"></param>
/// <param name="radius"></param>
/// <param name="checkPoint"></param>
/// <param name="tolerance"></param>
/// <returns></returns>
public static bool Contains(Vector2 middlePoint, double radius, Vector2 checkPoint, double tolerance)
{
var len = LineSegment2.CalcLenght(middlePoint, checkPoint);
var dist = radius - (len - tolerance);
return(dist >= 0);
}
private bool InterceptWithCircle(Circle2 other, double tolerance = GeometrySettings.DEFAULT_TOLERANCE)
{
var middlepointDistance = LineSegment2.CalcLenght(this.MiddlePoint, other.MiddlePoint);
var radiusSum = this.Radius + other.Radius;
return(!(middlepointDistance > (radiusSum + tolerance)));
}
/// <summary>
/// Does a Point lie on the Arc line?
/// </summary>
/// <param name="point"></param>
/// <param name="tolerance"></param>
/// <returns></returns>
public bool Contains(Vector2 point, double tolerance = GeometrySettings.DEFAULT_TOLERANCE)
{
bool conatins = false;
// First, the distance from middlepoint to our Point must be equal to the radius:
var distance = LineSegment2.CalcLenght(this.MiddlePoint, point);
if (Math.Abs(distance - this.Radius) < tolerance)
{
// If this is true, we only need to check if we are in the arc angle
var bowMiddle = this.GetPointOnArc(this.Angle / 2);
var l1 = new LineSegment2(this.Location, bowMiddle);
var l2 = new LineSegment2(this.GetPointOnArc(this.Angle), bowMiddle);
var intersection = new LineSegment2(this.MiddlePoint, point);
conatins = intersection.IntersectLine(l1, tolerance).HasValue || intersection.IntersectLine(l2, tolerance).HasValue;
}
return(conatins);
}
private IEnumerable <Vector2> InterceptCircle(Circle2 other, double tolerance = GeometrySettings.DEFAULT_TOLERANCE)
{
var interceptions = new List <Vector2>();
if (InterceptWithCircle(other, tolerance))
{
var middlepointDistance = LineSegment2.CalcLenght(this.MiddlePoint, other.MiddlePoint);
if (middlepointDistance < Math.Abs(this.Radius + other.Radius))
{
// circle is contained in other
}
else if (middlepointDistance == 0 && (this.Radius == other.Radius))
{
// circle are concident -> infinite numbers of intersections
}
else
{
interceptions.AddRange(IntersectCircle(this, other));
}
}
return(interceptions);
}