Module org.arakhne.afc.core.mathgeom

Package org.arakhne.afc.math.geometry.d3.ai

Interface Sphere3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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>>

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

All Known Implementing Classes:

Sphere3i, Sphere3ifx

public interface Sphere3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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 Shape3ai<ST,IT,IE,P,V,B>

Fonctional interface that represented a 3D sphere.

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	Sphere3ai.AbstractCirclePathIterator<IE extends PathElement3ai>	Abstract iterator on the path elements of the sphere.
static class	Sphere3ai.SpherePathIterator<IE extends PathElement3ai>	Iterator on the path elements of the sphere.
static class	Sphere3ai.SpherePerimeterIterator<P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>>	Iterates on points on the perimeter of a sphere.
static class	Sphere3ai.TransformedCirclePathIterator<IE extends PathElement3ai>	Iterator on the path elements of the sphere.

Method Summary

Modifier and Type	Method	Description
default void	clear()	Reset this shape to be equivalent to an just-created instance of this shape type.
static void	computeClosestPointTo(int cx, int cy, int cz, int cr, int x, int y, int z, Point3D<?,?> result)	Replies the closest point in a sphere to a point.
static void	computeFarthestPointTo(int cx, int cy, int cz, int cr, int x, int y, int z, Point3D<?,?> result)	Replies the farthest point in a sphere to a point.
default boolean	contains(int x, int y, int z)	Replies if the given point is inside this shape.
static boolean	contains(int cx, int cy, int cz, int cr, int x, int y, int z)	Replies if the given point is inside the sphere.
static boolean	contains(int cx, int cy, int cz, int cr, int quadrant, int x, int y, int z)	Replies if the given point is inside the quadrant of the given sphere.
default boolean	contains(RectangularPrism3ai<?,?,?,?,?,?> box)	Replies if the given rectangle is inside this shape.
default boolean	equalsToShape(IT shape)	Replies this shape is equal to the given shape.
default P	getCenter()	Replies the center.
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 the points of the sphere perimeters starting by the first octant.
default Iterator<P>	getPointIterator(int firstOctantIndex, int nbOctants)	Replies the points of the sphere perimeters starting by the first octant.
static <P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>> Iterator<P>	getPointIterator(int cx, int cy, int cz, int radius, int firstOctantIndex, int nbOctants, GeomFactory3ai<?,P,V,?> factory)	Replies the points of the sphere perimeters starting by the first octant.
int	getRadius()	Replies the radius.
int	getX()	Replies the center X.
int	getY()	Replies the center y.
int	getZ()	Replies the center z.
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	intersectsSphereRectangularPrism(int x1, int y1, int z1, int radius, int x2, int y2, int z2, int x3, int y3, int z3)	Replies if a sphere and a rectangle are intersecting.
static boolean	intersectsSphereSegment(int x1, int y1, int z1, int radius, int x2, int y2, int z2, int x3, int y3, int z3)	Replies if a sphere and a segment are intersecting.
static boolean	intersectsSphereSphere(int x1, int y1, int z1, int radius1, int x2, int y2, int z2, int radius2)	Replies if two spheres are intersecting.
default boolean	isEmpty()	Replies if this shape is empty.
void	set(int x, int y, int z, int radius)	Change the sphere.
default void	set(IT shape)	Set this shape with the attributes of the given shape.
default void	set(Point3D<?,?> center, int radius)	Change the sphere.
default void	setCenter(int x, int y, int z)	Change the sphere's center.
default void	setCenter(Point3D<?,?> center)	Change the sphere's center.
void	setRadius(int radius)	Change the radius.
void	setX(int x)	Change the center X.
void	setY(int y)	Change the center Y.
void	setZ(int z)	Change the center Z.
default void	toBoundingBox(B box)	Replies the bounds of the shape.
default void	translate(int dx, int dy, int dz)	Translate the shape.

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

toJson

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

contains

@Pure
static boolean contains(int cx,
                        int cy,
                        int cz,
                        int cr,
                        int x,
                        int y,
                        int z)

Replies if the given point is inside the sphere.

Parameters:

cx - is the x-coordinate of the sphere center

cy - is the y-coordinate of the sphere center

cz - is the z-coordinate of the sphere center

cr - is the radius of the sphere center

x - is the x-coordinate of the point

y - is the y-coordinate of the point

z - is the z-coordinate of the point

Returns:

true if the point is inside the sphere.

contains

@Pure
static boolean contains(int cx,
                        int cy,
                        int cz,
                        int cr,
                        int quadrant,
                        int x,
                        int y,
                        int z)

Replies if the given point is inside the quadrant of the given sphere.

Parameters:

cx - is the x-coordinate of the sphere center

cy - is the y-coordinate of the sphere center

cz - is the z-coordinate of the sphere center

cr - is the radius of the sphere center

quadrant - is the quadrant:

quadrant	x	y
0	≥cx	≥cy
1	≥cx	<cy
2	<cx	≥cy
3	<cx	<cy

x - is the x-coordinate of the point

y - is the y-coordinate of the point

z - is the z-coordinate of the point

Returns:

true if the point is inside the sphere.

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 Sphere3ai<?,?,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 Sphere3ai<?,?,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.

computeClosestPointTo

@Pure
static void computeClosestPointTo(int cx,
                                  int cy,
                                  int cz,
                                  int cr,
                                  int x,
                                  int y,
                                  int z,
                                  Point3D<?,?> result)

Replies the closest point in a sphere to a point.

The closest point is the point on the perimeter or inside the sphere's disk that has the lowest Manhatan distance to the given origin point.

Parameters:

cx - is the center of the sphere

cy - is the center of the sphere

cz - is the center of the sphere

cr - is the radius of the sphere

x - is the point

y - is the point

z - is the point

result - the closest point in the sphere to the point.

computeFarthestPointTo

@Pure
static void computeFarthestPointTo(int cx,
                                   int cy,
                                   int cz,
                                   int cr,
                                   int x,
                                   int y,
                                   int z,
                                   Point3D<?,?> result)

Replies the farthest point in a sphere to a point.

The farthest point is the point on the perimeter of the sphere that has the highest Manhatan distance to the given origin point.

Parameters:

cx - is the center of the sphere

cy - is the center of the sphere

cz - is the center of the sphere

cr - is the radius of the sphere

x - is the point

y - is the point

z - is the point

result - the farthest point in the sphere to the point.

intersectsSphereSphere

@Pure
static boolean intersectsSphereSphere(int x1,
                                      int y1,
                                      int z1,
                                      int radius1,
                                      int x2,
                                      int y2,
                                      int z2,
                                      int radius2)

Replies if two spheres are intersecting.

Parameters:

x1 - is the center of the first sphere

y1 - is the center of the first sphere

z1 - is the center of the first sphere

radius1 - is the radius of the first sphere

x2 - is the center of the second sphere

y2 - is the center of the second sphere

z2 - is the center of the second sphere

radius2 - is the radius of the second sphere

Returns:

true if the two shapes are intersecting; otherwise false

intersectsSphereRectangularPrism

@Pure
static boolean intersectsSphereRectangularPrism(int x1,
                                                int y1,
                                                int z1,
                                                int radius,
                                                int x2,
                                                int y2,
                                                int z2,
                                                int x3,
                                                int y3,
                                                int z3)

Replies if a sphere and a rectangle are intersecting.

Parameters:

x1 - is the center of the sphere

y1 - is the center of the sphere

z1 - is the center of the sphere

radius - is the radius of the sphere

x2 - is the first corner of the rectangle.

y2 - is the first corner of the rectangle.

z2 - is the first corner of the rectangle.

x3 - is the second corner of the rectangle.

y3 - is the second corner of the rectangle.

z3 - is the second corner of the rectangle.

Returns:

true if the two shapes are intersecting; otherwise false

intersectsSphereSegment

static boolean intersectsSphereSegment(int x1,
                                       int y1,
                                       int z1,
                                       int radius,
                                       int x2,
                                       int y2,
                                       int z2,
                                       int x3,
                                       int y3,
                                       int z3)

Replies if a sphere and a segment are intersecting.

Parameters:

x1 - is the center of the sphere

y1 - is the center of the sphere

z1 - is the center of the sphere

radius - is the radius of the sphere

x2 - is the first point of the segment.

y2 - is the first point of the segment.

z2 - is the first point of the segment.

x3 - is the second point of the segment.

y3 - is the second point of the segment.

z3 - is the second point of the segment.

Returns:

true if the two shapes are intersecting; otherwise false

getPointIterator

@Pure
static <P extends Point3D<? super P,? super V>,V extends Vector3D<? super V,? super P>> Iterator<P> getPointIterator(int cx,
                                                                                                                                       int cy,
                                                                                                                                       int cz,
                                                                                                                                       int radius,
                                                                                                                                       int firstOctantIndex,
                                                                                                                                       int nbOctants,
                                                                                                                                       GeomFactory3ai<?,P,V,?> factory)

Replies the points of the sphere perimeters starting by the first octant.

Type Parameters:

P - the type of the points.

V - the type of the vectors.

Parameters:

cx - is the center of the radius.

cy - is the center of the radius.

cz - is the center of the radius.

radius - is the radius of the radius.

firstOctantIndex - is the index of the first octant to treat (value in [0;7].

nbOctants - is the number of octants to traverse (value in [0; 7 - firstOctantIndex].

factory - the factory to use for creating the points.

Returns:

the points on the perimeters.

getPointIterator

@Pure
default Iterator<P> getPointIterator()

Replies the points of the sphere perimeters starting by the first octant.

Specified by:

getPointIterator in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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:

the points on the perimeters.

getPointIterator

@Pure
default Iterator<P> getPointIterator(int firstOctantIndex,
                                     int nbOctants)

Replies the points of the sphere perimeters starting by the first octant.

Parameters:

firstOctantIndex - is the index of the first octant (see figure) to treat.

nbOctants - is the number of octants to traverse (greater than zero).

Returns:

the points on the perimeters.

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 Sphere3ai<?,?,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.

clear

default void clear()

Description copied from interface: Shape3D

Reset this shape to be equivalent to an just-created instance of this shape type.

Specified by:

clear in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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>>

isEmpty

@Pure
default boolean isEmpty()

Description copied from interface: Shape3D

Replies if this shape is empty. The semantic associated to the state "empty" depends on the implemented shape. See the subclasses for details.

Specified by:

isEmpty in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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:

true if the shape is empty; false otherwise.

set

default void set(IT shape)

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 Sphere3ai<?,?,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.

set

default void set(Point3D<?,?> center,
                 int radius)

Change the sphere.

Parameters:

center - the center of the sphere.

radius - the radius of the sphere.

set

void set(int x,
         int y,
         int z,
         int radius)

Change the sphere.

Parameters:

x - the x coordinate of the center.

y - the y coordinate of the center.

z - the z coordinate of the center.

radius - the radius of the center.

setCenter

default void setCenter(Point3D<?,?> center)

Change the sphere's center.

Parameters:

center - the center of the sphere.

setCenter

default void setCenter(int x,
                       int y,
                       int z)

Change the sphere's center.

Parameters:

x - x coordinate of the center of the sphere.

y - y coordinate of the center of the sphere.

z - z coordinate of the center of the sphere.

getX

@Pure
int getX()

Replies the center X.

Returns:

the center x.

setX

@Pure
void setX(int x)

Change the center X.

Parameters:

x - the center x.

getY

@Pure
int getY()

Replies the center y.

Returns:

the center y.

setY

@Pure
void setY(int y)

Change the center Y.

Parameters:

y - the center y.

getZ

@Pure
int getZ()

Replies the center z.

Returns:

the center z.

setZ

@Pure
void setZ(int z)

Change the center Z.

Parameters:

z - the center z.

getCenter

@Pure
default P getCenter()

Replies the center.

Returns:

a copy of the center.

getRadius

@Pure
int getRadius()

Replies the radius.

Returns:

the radius.

setRadius

@Pure
void setRadius(int radius)

Change the radius.

Parameters:

radius - the radius.

toBoundingBox

@Pure
default void toBoundingBox(B box)

Description copied from interface: Shape3D

Replies the bounds of the shape.

Specified by:

toBoundingBox in interface Shape3D<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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 - is set with the bounds of 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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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.

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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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.

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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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 Sphere3ai<?,?,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.

translate

default void translate(int dx,
                       int dy,
                       int dz)

Description copied from interface: Shape3ai

Translate the shape.

Specified by:

translate in interface Shape3ai<ST extends Shape3ai<?,?,IE,P,V,B>,IT extends Sphere3ai<?,?,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:

dx - x translation.

dy - y translation.

dz - z translation.

getPathIterator

@Pure
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 Sphere3ai<?,?,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.