/// <summary>
/// Computes the oriented distance from a point to the plane.<br/>
/// The distance is:
/// <list type="Bullet">
/// <item><b>positive</b> if the point lies above the plane (relative to the plane normal)</item>
/// <item><b>zero</b> if the point is on the plane</item>
/// <item><b>negative</b> if the point lies below the plane (relative to the plane normal)</item>
/// </list>
/// </summary>
/// <param name="p">The point to compute the distance for</param>
/// <returns>The oriented distance to the plane</returns>
public double OrientedDistance(Coordinate p)
{
var pb = new Vector3D(p, _basePt);
var pbdDotNormal = pb.Dot(_normal);
if (Double.IsNaN(pbdDotNormal))
throw new ArgumentException("3D Coordinate has NaN ordinate");
var d = pbdDotNormal/_normal.Length();
return d;
}
public Plane3D(Vector3D normal, Coordinate basePt)
{
_normal = normal;
_basePt = basePt;
}
/// <summary>
/// Computes the dot-product of this <see cref="Vector3D"/> and <paramref name="v"/>
/// </summary>
/// <paramref name="v">The 2nd vector</paramref>
/// <returns>The dot product of the vectors</returns>
public double Dot(Vector3D v)
{
return _x * v._x + _y * v._y + _z * v._z;
}
public Plane3D(Vector3D normal, Coordinate basePt)
{
_normal = normal;
_basePt = basePt;
}