/// <summary>
/// Creates a shape that is the product of this shape with another shape.
/// </summary>
/// <remarks>
/// Takes the first shape, and for each point, scale that point by
/// the given amount, and create a copy of the second shape at that point.
/// The combined shape is the product of the two shapes.
/// </remarks>
public static IImplicitShape <GridPoint3> Product(
this IExplicitShape <GridPoint3> shape1,
IImplicitShape <GridPoint3> shape2,
GridPoint3 scale)
{
return(new ProductShape3(shape1, shape2, scale));
}
public static float EuclideanNorm(GridPoint3 point)
{
var squareMagnitude =
point.X * point.X +
point.Y * point.Y +
point.Z * point.Z;
return(Mathf.Sqrt(squareMagnitude));
}
public override TCell this[GridPoint3 point]
{
get
{
var accessPoint = point - shape.Bounds.Point;
return(cells[accessPoint.X, accessPoint.Y, accessPoint.Z]);
}
set
{
var accessPoint = point - shape.Bounds.Point;
cells[accessPoint.X, accessPoint.Y, accessPoint.Z] = value;
}
}
/// <summary>
/// Creates a 3D Translate Shape.
/// </summary>
/// <param name="shape">Base shape to translate.</param>
/// <param name="offset">Offset of the movement of the shape.</param>
public static IImplicitShape <GridPoint3> Translate(
this IImplicitShape <GridPoint3> shape,
GridPoint3 offset)
{
return(new TranslationShape3(shape, offset));
}
/// <summary>
/// Creates a 3D Parallelepiped.
/// </summary>
/// <param name="dimensions">Dimensions of the shape.</param>
public static IImplicitShape <GridPoint3> Parallelepiped(GridPoint3 dimensions)
{
return(new ParallelepipedShape(dimensions));
}
/// <summary>
/// Creates a 3D Single Shape.
/// </summary>
/// <param name="point">Point value of the center.</param>
public static IImplicitShape <GridPoint3> Single1(GridPoint3 point)
{
return(new SingleShape3(point));
}
public override bool Contains(GridPoint3 point)
{
return(shape.Contains(point));
}
public static IEnumerable <GridPoint3> GetOrthogonalNeighbors(GridPoint3 point)
{
return(point.GetVectorNeighbors(Directions));
}
public static int ChebychevNorm(GridPoint3 point)
{
return(Mathf.Max(Mathf.Abs(point.X), Mathf.Abs(point.Y), Mathf.Abs(point.Z)));
}
public static int ManhattanNorm(GridPoint3 point)
{
return(Mathf.Abs(point.X) + Mathf.Abs(point.Y) + Mathf.Abs(point.Z));
}
public static IExplicitShape <GridPoint3> Translate(this IExplicitShape <GridPoint3> shape, GridPoint3 n)
{
var newBounds = GridBounds.Translate(shape.Bounds, n);
var newShape = ImplicitShape.Translate(shape, n).ToExplicit(newBounds);
return(newShape);
}