Type Parameters:

ST - is the type of the general implementation.

IT - is the type of the implementation of this shape.

IE - is the type of the path elements.

P - is the type of the points.

V - is the type of the vectors.

B - is the type of the bounding boxes.

All Superinterfaces:

Cloneable, JsonableObject, Prism3ai<ST,IT,IE,P,V,B>, Serializable, Shape3ai<ST,IT,IE,P,V,B>, Shape3D<ST,IT,PathIterator3ai<IE>,P,V,B>

All Known Implementing Classes:

RectangularPrism3i, RectangularPrism3ifx
```
public interface RectangularPrism3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
extends Prism3ai<ST,IT,IE,P,V,B>
```
Fonctional interface that represented a 2D rectangle on a plane.

Since:

13.0

Version:

17.0 2020-01-04 14:41:43

Author:

Stéphane GALLAND, Hamza JAFFALI

Maven Group Id:

org.arakhne.afc.core

Maven Artifact Id:

mathgeom

Nested Class Summary

Nested Classes
Modifier and Type	Interface	Description
`static class`	`RectangularPrism3ai.RectanglePathIterator<E extends PathElement3ai>`	Iterator on the path elements of the rectangle.
`static class`	`RectangularPrism3ai.RectangleSideIterator<P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>>`	Iterates on points on the sides of a rectangle.
`static class`	`RectangularPrism3ai.Side`	Sides of a prism.
`static class`	`RectangularPrism3ai.TransformedRectanglePathIterator<E extends PathElement3ai>`	Iterator on the path elements of the rectangle.

Method Summary

All Methods Static Methods Instance Methods Default Methods
Modifier and Type	Method	Description
`static void`	`computeClosestPoint(int minx, int miny, int minz, int maxx, int maxy, int maxz, int px, int py, int pz, Point3D<?,?> result)`	Compute the closest point on the rectangle from the given point.
`static void`	`computeFarthestPoint(int minx, int miny, int minz, int maxx, int maxy, int maxz, int px, int py, int pz, Point3D<?,?> result)`	Compute the farthest point on the rectangle from the given point.
`default boolean`	`contains(int x, int y, int z)`	Replies if the given point is inside this shape.
`default boolean`	`contains(RectangularPrism3ai<?,?,?,?,?,?> box)`	Replies if the given rectangle is inside this shape.
`default B`	`createIntersection(Prism3ai<?,?,?,?,?,?> prism)`	Compute and replies the intersection of this rectangular prism and the given prism.
`default B`	`createUnion(Prism3ai<?,?,?,?,?,?> prism)`	Compute and replies the union of this rectangular prism and the given prism.
`default boolean`	`equalsToShape(IT shape)`	Replies this shape is equal to the given shape.
`default P`	`getClosestPointTo(MultiShape3ai<?,?,?,?,?,?,?> multishape)`	Replies the closest point on this shape to the given rectangle.
`default P`	`getClosestPointTo(Path3ai<?,?,?,?,?,?> path)`	Replies the closest point on this shape to the given rectangle.
`default P`	`getClosestPointTo(RectangularPrism3ai<?,?,?,?,?,?> rectangle)`	Replies the closest point on this shape to the given rectangle.
`default P`	`getClosestPointTo(Segment3ai<?,?,?,?,?,?> segment)`	Replies the closest point on this shape to the given rectangle.
`default P`	`getClosestPointTo(Sphere3ai<?,?,?,?,?,?> circle)`	Replies the closest point on this shape to the given rectangle.
`default P`	`getClosestPointTo(Point3D<?,?> pt)`	Replies the point on the shape that is closest to the given point.
`default double`	`getDistanceL1(Point3D<?,?> pt)`	Computes the L-1 (Manhattan) distance between this shape and point p1.
`default double`	`getDistanceLinf(Point3D<?,?> pt)`	Computes the L-infinite distance between this shape and point p1.
`default double`	`getDistanceSquared(Point3D<?,?> pt)`	Replies the squared value of the minimal distance from this shape to the given point.
`default P`	`getFarthestPointTo(Point3D<?,?> pt)`	Replies the point on the shape that is farthest the given point.
`default PathIterator3ai<IE>`	`getPathIterator(Transform3D transform)`	Replies the elements of the paths.
`default Iterator<P>`	`getPointIterator()`	Replies an iterator on the points covered by the perimeter of this shape.
`default Iterator<P>`	`getPointIterator(RectangularPrism3ai.Side startingBorder)`	Replies the points on the bounds of the rectangle.
`default boolean`	`intersects(MultiShape3ai<?,?,?,?,?,?,?> multishape)`	Replies if this shape is intersecting the given multishape.
`default boolean`	`intersects(PathIterator3ai<?> iterator)`	Replies if this shape is intersecting the path described by the given iterator.
`default boolean`	`intersects(RectangularPrism3ai<?,?,?,?,?,?> rectangularPrism)`	Replies if this shape is intersecting the given rectangular prism.
`default boolean`	`intersects(Segment3ai<?,?,?,?,?,?> segment)`	Replies if this shape is intersecting the given segment.
`default boolean`	`intersects(Sphere3ai<?,?,?,?,?,?> sphere)`	Replies if this shape is intersecting the given sphere.
`static boolean`	`intersectsRectangleRectangle(int x1, int y1, int z1, int x2, int y2, int z2, int x3, int y3, int z3, int x4, int y4, int z4)`	Replies if two rectangles are intersecting.
`static boolean`	`intersectsRectangleSegment(int x1, int y1, int z1, int x2, int y2, int z2, int x3, int y3, int z3, int x4, int y4, int z4)`	Replies if a rectangle is intersecting a segment.
`static int`	`reduceCohenSutherlandZoneRectangularPrismSegment(int rx1, int ry1, int rz1, int rx2, int ry2, int rz2, int sx1, int sy1, int sz1, int sx2, int sy2, int sz2, int codePoint1, int codePoint2, Point3D<?,?> newSegmentP1, Point3D<?,?> newSegmentP2)`	Update the given Cohen-Sutherland code that corresponds to the given segment in order to obtain a segment restricted to a single Cohen-Sutherland zone.
`default void`	`set(IT rectangularPrism)`	Set this shape with the attributes of the given shape.
`default void`	`setIntersection(Prism3ai<?,?,?,?,?,?> prism)`	Compute the intersection of this rectangular prism and the given prism.
`default void`	`setUnion(Prism3ai<?,?,?,?,?,?> prism)`	Compute the union of this rectangular prism and the given prism.

Methods inherited from interface org.arakhne.afc.vmutil.json.JsonableObject
toJson

Methods inherited from interface org.arakhne.afc.math.geometry.d3.ai.Prism3ai
clear, getCenterX, getCenterY, getCenterZ, getDepth, getHeight, getMaxX, getMaxY, getMaxZ, getMinX, getMinY, getMinZ, getWidth, inflate, isEmpty, set, set, setDepth, setFromCenter, setFromCenter, setFromCorners, setFromCorners, setHeight, setMaxX, setMaxY, setMaxZ, setMinX, setMinY, setMinZ, setWidth, toBoundingBox, translate

Methods inherited from interface org.arakhne.afc.math.geometry.d3.ai.Shape3ai
contains, contains, createTransformedShape, getClosestPointTo, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getGeomFactory, intersects, intersects, toBoundingBox, translate

Methods inherited from interface org.arakhne.afc.math.geometry.d3.Shape3D
clone, equalsToPathIterator, getDistance, getDistance, getPathIterator, operator_add, operator_and, operator_and, operator_minus, operator_multiply, operator_plus, operator_remove, operator_upTo

- Method Detail
  - intersectsRectangleRectangle
```
@Pure
static boolean intersectsRectangleRectangle(int x1,
                                            int y1,
                                            int z1,
                                            int x2,
                                            int y2,
                                            int z2,
                                            int x3,
                                            int y3,
                                            int z3,
                                            int x4,
                                            int y4,
                                            int z4)
```
    Replies if two rectangles are intersecting.
    
    Parameters:
    
    x1 - is the first corner of the first rectangle.
    
    y1 - is the first corner of the first rectangle.
    
    z1 - is the first corner of the first rectangle.
    
    x2 - is the second corner of the first rectangle.
    
    y2 - is the second corner of the first rectangle.
    
    z2 - is the second corner of the first rectangle.
    
    x3 - is the first corner of the second rectangle.
    
    y3 - is the first corner of the second rectangle.
    
    z3 - is the first corner of the second rectangle.
    
    x4 - is the second corner of the second rectangle.
    
    y4 - is the second corner of the second rectangle.
    
    z4 - is the second corner of the second rectangle.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
  - intersectsRectangleSegment
```
@Pure
static boolean intersectsRectangleSegment(int x1,
                                          int y1,
                                          int z1,
                                          int x2,
                                          int y2,
                                          int z2,
                                          int x3,
                                          int y3,
                                          int z3,
                                          int x4,
                                          int y4,
                                          int z4)
```
    Replies if a rectangle is intersecting a segment.
    The intersection test is partly based on the Cohen-Sutherland classification of the segment. This classification permits to detect the base cases; and to run a clipping-like algorithm for the intersection detection.
    
    Parameters:
    
    x1 - is the first corner of the rectangle.
    
    y1 - is the first corner of the rectangle.
    
    z1 - is the first corner of the rectangle.
    
    x2 - is the second corner of the rectangle.
    
    y2 - is the second corner of the rectangle.
    
    z2 - is the second corner of the rectangle.
    
    x3 - is the first point of the segment.
    
    y3 - is the first point of the segment.
    
    z3 - is the first point of the segment.
    
    x4 - is the second point of the segment.
    
    y4 - is the second point of the segment.
    
    z4 - is the second point of the segment.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
  - computeClosestPoint
```
@Pure
static void computeClosestPoint(int minx,
                                int miny,
                                int minz,
                                int maxx,
                                int maxy,
                                int maxz,
                                int px,
                                int py,
                                int pz,
                                Point3D<?,?> result)
```
    Compute the closest point on the rectangle from the given point.
    
    Parameters:
    
    minx - is the x-coordinate of the lowest coordinate of the rectangle.
    
    miny - is the y-coordinate of the lowest coordinate of the rectangle.
    
    minz - is the z-coordinate of the lowest coordinate of the rectangle.
    
    maxx - is the x-coordinate of the highest coordinate of the rectangle.
    
    maxy - is the y-coordinate of the highest coordinate of the rectangle.
    
    maxz - is the z-coordinate of the highest coordinate of the rectangle.
    
    px - is the x-coordinate of the point.
    
    py - is the y-coordinate of the point.
    
    pz - is the z-coordinate of the point.
    
    result - the closest point.
  - computeFarthestPoint
```
@Pure
static void computeFarthestPoint(int minx,
                                 int miny,
                                 int minz,
                                 int maxx,
                                 int maxy,
                                 int maxz,
                                 int px,
                                 int py,
                                 int pz,
                                 Point3D<?,?> result)
```
    Compute the farthest point on the rectangle from the given point.
    
    Parameters:
    
    minx - is the x-coordinate of the lowest coordinate of the rectangle.
    
    miny - is the y-coordinate of the lowest coordinate of the rectangle.
    
    minz - is the z-coordinate of the lowest coordinate of the rectangle.
    
    maxx - is the x-coordinate of the highest coordinate of the rectangle.
    
    maxy - is the y-coordinate of the highest coordinate of the rectangle.
    
    maxz - is the z-coordinate of the highest coordinate of the rectangle.
    
    px - is the x-coordinate of the point.
    
    py - is the y-coordinate of the point.
    
    pz - is the z-coordinate of the point.
    
    result - the farthest point.
  - reduceCohenSutherlandZoneRectangularPrismSegment
```
@Pure
static int reduceCohenSutherlandZoneRectangularPrismSegment(int rx1,
                                                            int ry1,
                                                            int rz1,
                                                            int rx2,
                                                            int ry2,
                                                            int rz2,
                                                            int sx1,
                                                            int sy1,
                                                            int sz1,
                                                            int sx2,
                                                            int sy2,
                                                            int sz2,
                                                            int codePoint1,
                                                            int codePoint2,
                                                            Point3D<?,?> newSegmentP1,
                                                            Point3D<?,?> newSegmentP2)
```
    Update the given Cohen-Sutherland code that corresponds to the given segment in order to obtain a segment restricted to a single Cohen-Sutherland zone. This function is at the heart of the Cohen-Sutherland algorithm.
    The result of this function may be:
    
    the code for a single zone, or
    
    the code that corresponds to a single column, or
    
    the code that corresponds to a single row.
    Parameters:
    
    rx1 - is the first corner of the rectangle.
    
    ry1 - is the first corner of the rectangle.
    
    rz1 - is the first corner of the rectangle.
    
    rx2 - is the second corner of the rectangle.
    
    ry2 - is the second corner of the rectangle.
    
    rz2 - is the second corner of the rectangle.
    
    sx1 - is the first point of the segment.
    
    sy1 - is the first point of the segment.
    
    sz1 - is the first point of the segment.
    
    sx2 - is the second point of the segment.
    
    sy2 - is the second point of the segment.
    
    sz2 - is the second point of the segment.
    
    codePoint1 - the Cohen-Sutherland code for the first point of the segment.
    
    codePoint2 - the Cohen-Sutherland code for the second point of the segment.
    
    newSegmentP1 - is set with the new coordinates of the segment first point. If null, this parameter is ignored.
    
    newSegmentP2 - is set with the new coordinates of the segment second point. If null, this parameter is ignored.
    
    Returns:
    
    the rectricted Cohen-Sutherland zone.
  - equalsToShape
```
@Pure
default boolean equalsToShape(IT shape)
```
    Description copied from interface: Shape3D
    
    Replies this shape is equal to the given shape.
    
    Specified by:
    
    equalsToShape in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    shape - the shape to compare to.
    
    Returns:
    
    true if this shape is equal is equal to the given path.
  - intersects
```
@Pure
default boolean intersects(RectangularPrism3ai<?,?,?,?,?,?> rectangularPrism)
```
    Description copied from interface: Shape3ai
    
    Replies if this shape is intersecting the given rectangular prism.
    
    Specified by:
    
    intersects in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    rectangularPrism - the rectangular prism.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(Sphere3ai<?,?,?,?,?,?> sphere)
```
    Description copied from interface: Shape3ai
    
    Replies if this shape is intersecting the given sphere.
    
    Specified by:
    
    intersects in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    sphere - the sphere
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(Segment3ai<?,?,?,?,?,?> segment)
```
    Description copied from interface: Shape3ai
    
    Replies if this shape is intersecting the given segment.
    
    Specified by:
    
    intersects in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    segment - the segment
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(PathIterator3ai<?> iterator)
```
    Description copied from interface: Shape3ai
    
    Replies if this shape is intersecting the path described by the given iterator.
    
    Specified by:
    
    intersects in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    iterator - the path Iterator
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(MultiShape3ai<?,?,?,?,?,?,?> multishape)
```
    Description copied from interface: Shape3ai
    
    Replies if this shape is intersecting the given multishape.
    
    Specified by:
    
    intersects in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    multishape - the ùmultishape
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - contains
```
@Pure
default boolean contains(int x,
                         int y,
                         int z)
```
    Description copied from interface: Shape3ai
    
    Replies if the given point is inside this shape.
    
    Specified by:
    
    contains in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    x - x coordinate of the point to test.
    
    y - y coordinate of the point to test.
    
    z - z coordinate of the point to test.
    
    Returns:
    
    true if the given point is inside this shape, otherwise false.
  - contains
```
@Pure
default boolean contains(RectangularPrism3ai<?,?,?,?,?,?> box)
```
    Description copied from interface: Shape3ai
    
    Replies if the given rectangle is inside this shape.
    
    Specified by:
    
    contains in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    box - the rectangle to test.
    
    Returns:
    
    true if the given box is inside the shape.
  - set
```
default void set(IT rectangularPrism)
```
    Description copied from interface: Shape3D
    
    Set this shape with the attributes of the given shape.
    
    Specified by:
    
    set in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    rectangularPrism - the shape.
  - getClosestPointTo
```
@Pure
default P getClosestPointTo(Point3D<?,?> pt)
```
    Description copied from interface: Shape3D
    
    Replies the point on the shape that is closest to the given point.
    
    Specified by:
    
    getClosestPointTo in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(RectangularPrism3ai<?,?,?,?,?,?> rectangle)
```
    Description copied from interface: Shape3ai
    
    Replies the closest point on this shape to the given rectangle.
    
    Specified by:
    
    getClosestPointTo in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    rectangle - the rectangle.
    
    Returns:
    
    the closest point on this shape to the given shape; or the point if the point is in this shape.
  - getClosestPointTo
```
default P getClosestPointTo(Sphere3ai<?,?,?,?,?,?> circle)
```
    Description copied from interface: Shape3ai
    
    Replies the closest point on this shape to the given rectangle.
    
    Specified by:
    
    getClosestPointTo in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    circle - the circle.
    
    Returns:
    
    the closest point on this shape to the given shape; or the point if the point is in this shape.
  - getClosestPointTo
```
default P getClosestPointTo(Segment3ai<?,?,?,?,?,?> segment)
```
    Description copied from interface: Shape3ai
    
    Replies the closest point on this shape to the given rectangle.
    
    Specified by:
    
    getClosestPointTo in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    segment - the segment.
    
    Returns:
    
    the closest point on this shape to the given shape; or the point if the point is in this shape.
  - getClosestPointTo
```
default P getClosestPointTo(MultiShape3ai<?,?,?,?,?,?,?> multishape)
```
    Description copied from interface: Shape3ai
    
    Replies the closest point on this shape to the given rectangle.
    
    Specified by:
    
    getClosestPointTo in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    multishape - the multishape.
    
    Returns:
    
    the closest point on this shape to the given shape; or the point if the point is in this shape.
  - getClosestPointTo
```
default P getClosestPointTo(Path3ai<?,?,?,?,?,?> path)
```
    Description copied from interface: Shape3ai
    
    Replies the closest point on this shape to the given rectangle.
    
    Specified by:
    
    getClosestPointTo in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    path - the path.
    
    Returns:
    
    the closest point on this shape to the given shape; or the point if the point is in this shape.
  - getFarthestPointTo
```
@Pure
default P getFarthestPointTo(Point3D<?,?> pt)
```
    Description copied from interface: Shape3D
    
    Replies the point on the shape that is farthest the given point.
    
    Specified by:
    
    getFarthestPointTo in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point.
    
    Returns:
    
    the farthest point on the shape.
  - getDistanceSquared
```
@Pure
default double getDistanceSquared(Point3D<?,?> pt)
```
    Description copied from interface: Shape3D
    
    Replies the squared value of the minimal distance from this shape to the given point.
    
    Specified by:
    
    getDistanceSquared in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point.
    
    Returns:
    
    squared value of the minimal distance between this shape and the point.
  - getDistanceL1
```
@Pure
default double getDistanceL1(Point3D<?,?> pt)
```
    Description copied from interface: Shape3D
    
    Computes the L-1 (Manhattan) distance between this shape and point p1. The L-1 distance is equal to abs(x1-x2) + abs(y1-y2).
    
    Specified by:
    
    getDistanceL1 in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point
    
    Returns:
    
    the distance.
  - getDistanceLinf
```
@Pure
default double getDistanceLinf(Point3D<?,?> pt)
```
    Description copied from interface: Shape3D
    
    Computes the L-infinite distance between this shape and point p1. The L-infinite distance is equal to MAX[abs(x1-x2), abs(y1-y2), abs(z1-z2)].
    
    Specified by:
    
    getDistanceLinf in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point.
    
    Returns:
    
    the distance.
  - getPointIterator
```
@Pure
default Iterator<P> getPointIterator()
```
    Description copied from interface: Shape3ai
    
    Replies an iterator on the points covered by the perimeter of this shape.
    The implementation of the iterator depends on the shape type. There is no warranty about the order of the points.
    
    Specified by:
    
    getPointIterator in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Returns:
    
    an iterator on the points that are located at the perimeter of the shape.
  - getPointIterator
```
@Pure
default Iterator<P> getPointIterator(RectangularPrism3ai.Side startingBorder)
```
    Replies the points on the bounds of the rectangle.
    
    Parameters:
    
    startingBorder - is the first border to reply.
    
    Returns:
    
    the points on the bounds of the rectangle.
  - getPathIterator
```
default PathIterator3ai<IE> getPathIterator(Transform3D transform)
```
    Description copied from interface: Shape3D
    
    Replies the elements of the paths.
    
    Specified by:
    
    getPathIterator in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends RectangularPrism3ai<?,?,IE,P,V,B>,IE extends PathElement3ai,P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>,B extends RectangularPrism3ai<?,?,IE,P,V,B>>
    
    Parameters:
    
    transform - is the transformation to apply to the path.
    
    Returns:
    
    the elements of the path.
  - createUnion
```
@Pure
default B createUnion(Prism3ai<?,?,?,?,?,?> prism)
```
    Compute and replies the union of this rectangular prism and the given prism. This function does not change this rectangular prism.
    It is equivalent to (where ur is the union):
    RectangularPrism3d ur = new RectangularPrism3d(this); ur.setUnion(r);
    Parameters:
    
    prism - the prism
    
    Returns:
    
    the union of this rectangle and the given rectangle.
    
    See Also:
    
    setUnion(Prism3ai)
  - createIntersection
```
@Pure
default B createIntersection(Prism3ai<?,?,?,?,?,?> prism)
```
    Compute and replies the intersection of this rectangular prism and the given prism. This function does not change this rectangular prism.
    It is equivalent to (where ir is the union):
    RectangularPrism3d ir = new RectangularPrism3d(this); ur.setIntersection(r);
    Parameters:
    
    prism - the prism
    
    Returns:
    
    the intersection of this rectangle and the given rectangle.
    
    See Also:
    
    setIntersection(Prism3ai)
  - setUnion
```
default void setUnion(Prism3ai<?,?,?,?,?,?> prism)
```
    Compute the union of this rectangular prism and the given prism. This function changes this rectangular prism.
    
    Parameters:
    
    prism - the prism
    
    See Also:
    
    createUnion(Prism3ai)
  - setIntersection
```
default void setIntersection(Prism3ai<?,?,?,?,?,?> prism)
```
    Compute the intersection of this rectangular prism and the given prism. This function changes this rectangular prism.
    If there is no intersection, this rectangular Prism is cleared.
    
    Parameters:
    
    prism - the prism
    
    See Also:
    
    createIntersection(Prism3ai), Prism3ai.clear()

Nested Class Summary

Method Summary

Methods inherited from interface org.arakhne.afc.vmutil.json.JsonableObject

Methods inherited from interface org.arakhne.afc.math.geometry.d3.ai.Prism3ai

Methods inherited from interface org.arakhne.afc.math.geometry.d3.ai.Shape3ai

Methods inherited from interface org.arakhne.afc.math.geometry.d3.Shape3D

Method Detail

intersectsRectangleRectangle

intersectsRectangleSegment

computeClosestPoint

computeFarthestPoint

reduceCohenSutherlandZoneRectangularPrismSegment

equalsToShape

intersects

intersects

intersects

intersects

intersects

contains

contains

set

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getFarthestPointTo

getDistanceSquared

getDistanceL1

getDistanceLinf

getPointIterator

getPointIterator

getPathIterator

createUnion

createIntersection

setUnion

setIntersection