/// <summary>
/// Projects a point on a line passing through p and q
/// </summary>
/// <param name="pnt">The point to be projected</param>
/// <param name="p">First point defining the line</param>
/// <param name="q">Second point defining the line</param>
/// <returns>The point <paramref name="pnt"/> projected on the specified line segment.</returns>
public static Point ProjectOnLine(this Point pnt, Point p, Point q)
{
var v = q - p;
var t = pnt.ProjectOnLine(p, v);
var candidate = p + t * v;
return(candidate);
}
/// <summary>
/// Computes the distance from the given point to the given line.
/// </summary>
/// <param name="pnt">The point to compute the distance for</param>
/// <param name="p">First point defining the line</param>
/// <param name="q">Second point defining the line</param>
/// <returns>The distance from <paramref name="pnt"/> to the line defined by <paramref name="p"/> and <paramref name="q"/>.</returns>
public static double DistanceToLine(this Point pnt, Point p, Point q)
{
return((pnt - pnt.ProjectOnLine(p, q)).Length);
}
