/// <summary>Constructs and initializes a Point4d from the specified Point4d.</summary>
/// <remarks>Constructs and initializes a Point4d from the specified Point4d.</remarks>
/// <param name="p1">the Point4d containing the initialization x y z w data</param>
public Point4d(Point4d p1)
: base(p1)
{
}
/// <summary>
/// Multiplies each of the x,y,z components of the Point4d parameter
/// by 1/w, places the projected values into this point, and places
/// a 1 as the w parameter of this point.
/// </summary>
/// <remarks>
/// Multiplies each of the x,y,z components of the Point4d parameter
/// by 1/w, places the projected values into this point, and places
/// a 1 as the w parameter of this point.
/// </remarks>
/// <param name="p1">the source Point4d, which is not modified</param>
public void Project(Point4d p1)
{
double oneOw;
oneOw = 1 / p1.w;
x = p1.x * oneOw;
y = p1.y * oneOw;
z = p1.z * oneOw;
w = 1.0;
}
/// <summary>
/// Computes the L-infinite distance between this point and
/// point p1.
/// </summary>
/// <remarks>
/// Computes the L-infinite distance between this point and
/// point p1. The L-infinite distance is equal to
/// MAX[abs(x1-x2), abs(y1-y2), abs(z1-z2), abs(w1-w2)].
/// </remarks>
/// <param name="p1">the other point</param>
/// <returns>the L-infinite distance</returns>
public double DistanceLinf(Point4d p1)
{
double t1;
double t2;
t1 = Math.Max(Math.Abs(this.x - p1.x), Math.Abs(this.y - p1.y));
t2 = Math.Max(Math.Abs(this.z - p1.z), Math.Abs(this.w - p1.w));
return Math.Max(t1, t2);
}
/// <summary>Returns the square of the distance between this point and point p1.</summary>
/// <remarks>Returns the square of the distance between this point and point p1.</remarks>
/// <param name="p1">the first point</param>
/// <returns>the square of distance between this point and point p1</returns>
public double DistanceSquared(Point4d p1)
{
double dx;
double dy;
double dz;
double dw;
dx = this.x - p1.x;
dy = this.y - p1.y;
dz = this.z - p1.z;
dw = this.w - p1.w;
return (dx * dx + dy * dy + dz * dz + dw * dw);
}
/// <summary>
/// Computes the L-1 (Manhattan) distance between this point and
/// point p1.
/// </summary>
/// <remarks>
/// Computes the L-1 (Manhattan) distance between this point and
/// point p1. The L-1 distance is equal to:
/// abs(x1-x2) + abs(y1-y2) + abs(z1-z2) + abs(w1-w2).
/// </remarks>
/// <param name="p1">the other point</param>
/// <returns>the L-1 distance</returns>
public double DistanceL1(Point4d p1)
{
return Math.Abs(this.x - p1.x) + Math.Abs(this.y - p1.y) + Math.Abs(this.z - p1.z
) + Math.Abs(this.w - p1.w);
}