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, Shape2afp<ST,IT,IE,P,V,B>, Shape2D<ST,IT,PathIterator2afp<IE>,P,V,B>

All Known Subinterfaces:

OrientedRectangle2afp<ST,IT,IE,P,V,B>, Rectangle2afp<ST,IT,IE,P,V,B>

All Known Implementing Classes:

OrientedRectangle2d, OrientedRectangle2dfx, Parallelogram2d, Parallelogram2dfx, Rectangle2d, Rectangle2dfx
```
public interface Parallelogram2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
extends Shape2afp<ST,IT,IE,P,V,B>
```
Fonctional interface that represented a 2D parallelogram on a plane.

Version:

17.0 2020-01-04 14:41:43

Author:

Stéphane GALLAND, Nicolas GAUD

Maven Group Id:

org.arakhne.afc.core

Maven Artifact Id:

mathgeom

Nested Class Summary

Nested Classes
Modifier and Type	Interface	Description
`static class`	`Parallelogram2afp.AbstractParallelogramPathIterator<T extends PathElement2afp>`	Abstract iterator on the path elements of the parallelogram.
`static class`	`Parallelogram2afp.ParallelogramPathIterator<T extends PathElement2afp>`	Iterator on the path elements of a parallelogram.
`static class`	`Parallelogram2afp.ProjectionToParallelogramLocalCoordinateSystemPathIterator<T extends PathElement2afp>`	An iterator that automatically transform and reply the path elements from the given iterator such that the coordinates of the path elements are projected in the local coordinate system of the given parallelogram.
`static class`	`Parallelogram2afp.TransformedParallelogramPathIterator<T extends PathElement2afp>`	Iterator on the path elements of a transformed oriented rectangle.

Method Summary

All Methods Static Methods Instance Methods Abstract Methods Default Methods
Modifier and Type	Method	Description
`static void`	`calculatesCenterPointAxisExtents(Iterable<? extends Point2D<?,?>> points, Vector2D<?,?> raxis, Vector2D<?,?> saxis, Point2D<?,?> center, Tuple2D<?> extents)`	Compute the center point and axis extents of a parallelogram from a set of points and the parallelogram axes.
`static void`	`calculatesOrthogonalAxes(Iterable<? extends Point2D<?,?>> points, Vector2D<?,?> raxis, Vector2D<?,?> saxis)`	Compute the axes of an oriented bounding rectangle that is enclosing the set of points.
`default void`	`clear()`	Reset this shape to be equivalent to an just-created instance of this shape type.
`default boolean`	`contains(double x, double y)`	Replies if the given point is inside this shape.
`default boolean`	`contains(Rectangle2afp<?,?,?,?,?,?> rectangle)`	Replies if the given rectangle is inside this shape.
`static boolean`	`containsParallelogramPoint(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double px, double py)`	Replies if a point is inside in the parallelogram.
`static boolean`	`containsParallelogramRectangle(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double rx, double ry, double rwidth, double rheight)`	Replies if a rectangle is inside the parallelogram.
`default boolean`	`equalsToShape(IT shape)`	Replies this shape is equal to the given shape.
`static void`	`findsClosestPointPointParallelogram(double px, double py, double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, Point2D<?,?> closest)`	Given a point p, this function computes the point q1 on (or in) this parallelogram, closest to p; and the point q2 on the parallelogram, farthest to p.
`static void`	`findsFarthestPointPointParallelogram(double px, double py, double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, Point2D<?,?> farthest)`	Given a point p, this function computes the point q2 on the parallelogram, farthest to p.
`static double`	`findsVectorProjectionRAxisPoint(double rx, double ry, double sx, double sy, double x, double y)`	Project the given vector on the R (first) axis, according to the direction of the S (second) axis.
`static double`	`findsVectorProjectionSAxisVector(double rx, double ry, double sx, double sy, double x, double y)`	Project the given vector on the S (second) axis, according to the direction of the R (first) axis.
`P`	`getCenter()`	Replies the center.
`double`	`getCenterX()`	Replies the center x.
`double`	`getCenterY()`	Replies the center y.
`default P`	`getClosestPointTo(Circle2afp<?,?,?,?,?,?> circle)`	Replies the closest point on this shape to the given circle.
`default P`	`getClosestPointTo(Ellipse2afp<?,?,?,?,?,?> ellipse)`	Replies the closest point on this shape to the given ellipse.
`default P`	`getClosestPointTo(OrientedRectangle2afp<?,?,?,?,?,?> orientedRectangle)`	Replies the closest point on this shape to the given oriented rectangle.
`default P`	`getClosestPointTo(Parallelogram2afp<?,?,?,?,?,?> parallelogram)`	Replies the closest point on this shape to the given parallelogram.
`default P`	`getClosestPointTo(Path2afp<?,?,?,?,?,?> path)`	Replies the closest point on this shape to the given path.
`default P`	`getClosestPointTo(Rectangle2afp<?,?,?,?,?,?> rectangle)`	Replies the closest point on this shape to the given rectangle.
`default P`	`getClosestPointTo(RoundRectangle2afp<?,?,?,?,?,?> roundRectangle)`	Replies the closest point on this shape to the given round rectangle.
`default P`	`getClosestPointTo(Segment2afp<?,?,?,?,?,?> segment)`	Replies the closest point on this shape to the given segment.
`default P`	`getClosestPointTo(Triangle2afp<?,?,?,?,?,?> triangle)`	Replies the closest point on this shape to the given triangle.
`default P`	`getClosestPointTo(Point2D<?,?> pt)`	Replies the point on the shape that is closest to the given point.
`default double`	`getDistanceL1(Point2D<?,?> pt)`	Computes the L-1 (Manhattan) distance between this shape and point p1.
`default double`	`getDistanceLinf(Point2D<?,?> pt)`	Computes the L-infinite distance between this shape and point p1.
`default double`	`getDistanceSquared(Point2D<?,?> pt)`	Replies the squared value of the minimal distance from this shape to the given point.
`default P`	`getFarthestPointTo(Point2D<?,?> pt)`	Replies the point on the shape that is farthest the given point.
`V`	`getFirstAxis()`	Replies the first axis of the oriented rectangle.
`double`	`getFirstAxisExtent()`	Replies the demi-size of the rectangle along its first axis.
`double`	`getFirstAxisX()`	Replies coordinate x of the first axis of the oriented rectangle.
`double`	`getFirstAxisY()`	Replies coordinate y of the first axis of the oriented rectangle.
`default PathIterator2afp<IE>`	`getPathIterator(Transform2D transform)`	Replies the elements of the paths.
`V`	`getSecondAxis()`	Replies the second axis of the oriented rectangle.
`double`	`getSecondAxisExtent()`	Replies the demi-size of the rectangle along its second axis.
`double`	`getSecondAxisX()`	Replies coordinate x of the second axis of the oriented rectangle.
`double`	`getSecondAxisY()`	Replies coordinate y of the second axis of the oriented rectangle.
`default boolean`	`intersects(Circle2afp<?,?,?,?,?,?> circle)`	Replies if this shape is intersecting the given circle.
`default boolean`	`intersects(Ellipse2afp<?,?,?,?,?,?> ellipse)`	Replies if this shape is intersecting the given ellipse.
`default boolean`	`intersects(MultiShape2afp<?,?,?,?,?,?,?> multishape)`	Replies if this shape is intersecting the given multishape.
`default boolean`	`intersects(OrientedRectangle2afp<?,?,?,?,?,?> orientedRectangle)`	Replies if this shape is intersecting the given rectangle.
`default boolean`	`intersects(Parallelogram2afp<?,?,?,?,?,?> parallelogram)`	Replies if this shape is intersecting the given parallelogram.
`default boolean`	`intersects(PathIterator2afp<?> iterator)`	Replies if this shape is intersecting the shape representing the given path iterator.
`default boolean`	`intersects(Rectangle2afp<?,?,?,?,?,?> rectangle)`	Replies if this shape is intersecting the given rectangle.
`default boolean`	`intersects(RoundRectangle2afp<?,?,?,?,?,?> roundRectangle)`	Replies if this shape is intersecting the given rectangle.
`default boolean`	`intersects(Segment2afp<?,?,?,?,?,?> segment)`	Replies if this shape is intersecting the given line.
`default boolean`	`intersects(Triangle2afp<?,?,?,?,?,?> triangle)`	Replies if this shape is intersecting the given triangle.
`static boolean`	`intersectsParallelogramCircle(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double circleX, double circleY, double circleRadius)`	Replies if the specified parallelogram intersects the specified circle.
`static boolean`	`intersectsParallelogramEllipse(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double ex, double ey, double ewidth, double eheight)`	Replies if the parallelogram intersects the given ellipse.
`static boolean`	`intersectsParallelogramParallelogram(double centerX1, double centerY1, double axis1X1, double axis1Y1, double axis1Extent1, double axis2X1, double axis2Y1, double axis2Extent1, double centerX2, double centerY2, double axis1X2, double axis1Y2, double axis1Extent2, double axis2X2, double axis2Y2, double axis2Extent2)`	Replies if two parallelograms intersect.
`static <T extends PathElement2afp> boolean`	`intersectsParallelogramPathIterator(double centerX, double centerY, double axis1X, double axis1Y, double extent1, double axis2X, double axis2Y, double extent2, PathIterator2afp<T> pathIterator)`	Tests if the interior of the specified `PathIterator2afp` intersects the interior of a specified set of oriented rectangular coordinates.
`static boolean`	`intersectsParallelogramRectangle(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double rx, double ry, double rwidth, double rheight)`	Replies if the parallelogram intersects the given rectangle.
`static boolean`	`intersectsParallelogramRoundRectangle(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double rx, double ry, double rwidth, double rheight, double rArcWidth, double rArcHeight)`	Replies if the parallelogram intersects the given rectangle.
`static boolean`	`intersectsParallelogramSegment(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double s1x, double s1y, double s2x, double s2y)`	Replies if the specified parallelogram intersects the specified segment.
`static boolean`	`intersectsParallelogramTriangle(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent, double tx1, double ty1, double tx2, double ty2, double tx3, double ty3)`	Replies if the specified parallelogram intersects the specified triangle.
`default boolean`	`isCCW()`	Replies if the axes of the parallelogram are defined in a counter-clockwise order.
`default boolean`	`isEmpty()`	Replies if this shape is empty.
`default void`	`rotate(double angle)`	Roate the parallelogram around its center.
`void`	`set(double centerX, double centerY, double axis1X, double axis1Y, double axis1Extent, double axis2X, double axis2Y, double axis2Extent)`	Set the oriented rectangle.
`default void`	`set(IT parallelogram)`	Set this shape with the attributes of the given shape.
`default void`	`set(Point2D<?,?> center, Vector2D<?,?> axis1, double axis1Extent, Vector2D<?,?> axis2, double axis2Extent)`	Set the parallelogram.
`void`	`setCenter(double cx, double cy)`	Set the center.
`default void`	`setCenter(Point2D<?,?> center)`	Set the center.
`void`	`setCenterX(double cx)`	Set the center's x.
`void`	`setCenterY(double cy)`	Set the center's y.
`default void`	`setFirstAxis(double x, double y)`	Set the first axis of the rectangle.
`void`	`setFirstAxis(double x, double y, double extent)`	Set the first axis of the rectangle.
`default void`	`setFirstAxis(Vector2D<?,?> axis)`	Set the first axis of the rectangle.
`default void`	`setFirstAxis(Vector2D<?,?> axis, double extent)`	Set the first axis of the rectangle.
`void`	`setFirstAxisExtent(double extent)`	Change the demi-size of the rectangle along its first axis.
`default void`	`setFromPointCloud(Iterable<? extends Point2D<?,?>> pointCloud)`	Set the parallelogram from a could of points.
`default void`	`setFromPointCloud(Point2D<?,?>... pointCloud)`	Set the oriented rectangle from a could of points.
`default void`	`setSecondAxis(double x, double y)`	Set the second axis of the rectangle.
`void`	`setSecondAxis(double x, double y, double extent)`	Set the second axis of the rectangle.
`default void`	`setSecondAxis(Vector2D<?,?> axis)`	Set the second axis of the rectangle.
`default void`	`setSecondAxis(Vector2D<?,?> axis, double extent)`	Set the second axis of the rectangle.
`void`	`setSecondAxisExtent(double extent)`	Change the demi-size of the rectangle along its second axis.
`default void`	`toBoundingBox(B box)`	Replies the bounds of the shape.
`default void`	`translate(double dx, double dy)`	Translate the shape.

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

Methods inherited from interface org.arakhne.afc.math.geometry.d2.afp.Shape2afp
contains, contains, createTransformedShape, getClosestPointTo, getClosestPointTo, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getDistanceSquared, getGeomFactory, intersects, intersects, toBoundingBox, translate

Methods inherited from interface org.arakhne.afc.math.geometry.d2.Shape2D
clone, equalsToPathIterator, getDistance, getDistance, getPathIterator, operator_add, operator_and, operator_and, operator_minus, operator_multiply, operator_plus, operator_remove, operator_upTo

- Method Detail
  - calculatesOrthogonalAxes
```
static void calculatesOrthogonalAxes(Iterable<? extends Point2D<?,?>> points,
                                     Vector2D<?,?> raxis,
                                     Vector2D<?,?> saxis)
```
    Compute the axes of an oriented bounding rectangle that is enclosing the set of points.
    
    Parameters:
    
    points - is the list of the points enclosed by the OBR.
    
    raxis - is the vector where the R axis of the OBR is put. If null, S must be not null.
    
    saxis - is the vector where the S axis of the OBR is put. If null, R must be not null.
    
    See Also:
    
    "MGPCG pages 219-221"
  - findsVectorProjectionRAxisPoint
```
@Pure
static double findsVectorProjectionRAxisPoint(double rx,
                                              double ry,
                                              double sx,
                                              double sy,
                                              double x,
                                              double y)
```
    Project the given vector on the R (first) axis, according to the direction of the S (second) axis.
    This function assumes nothing on the axes' orientations. For an efficient implementation for orthogonal axes, see OrientedRectangle2afp.findsVectorProjectionRAxisVector(double, double, double, double).
    
    Parameters:
    
    rx - the x coordinate of the R axis.
    
    ry - the y coordinate of the R axis.
    
    sx - the x coordinate of the S axis.
    
    sy - the y coordinate of the S axis.
    
    x - the x coordinate of the vector.
    
    y - the y coordinate of the vector.
    
    Returns:
    
    the coordinate of the projection of the vector on R
    
    See Also:
    
    OrientedRectangle2afp.findsVectorProjectionRAxisVector(double, double, double, double)
  - findsVectorProjectionSAxisVector
```
@Pure
static double findsVectorProjectionSAxisVector(double rx,
                                               double ry,
                                               double sx,
                                               double sy,
                                               double x,
                                               double y)
```
    Project the given vector on the S (second) axis, according to the direction of the R (first) axis.
    This function assumes nothing on the axes' orientations. For an efficient implementation for orthogonal axes, see OrientedRectangle2afp.findsVectorProjectionSAxisVector(double, double, double, double).
    
    Parameters:
    
    rx - the x coordinate of the R axis.
    
    ry - the y coordinate of the R axis.
    
    sx - the x coordinate of the S axis.
    
    sy - the y coordinate of the S axis.
    
    x - the x coordinate of the vector.
    
    y - the y coordinate of the vector.
    
    Returns:
    
    the coordinate of the projection of the vector on S.
    
    See Also:
    
    OrientedRectangle2afp.findsVectorProjectionSAxisVector(double, double, double, double)
  - calculatesCenterPointAxisExtents
```
static void calculatesCenterPointAxisExtents(Iterable<? extends Point2D<?,?>> points,
                                             Vector2D<?,?> raxis,
                                             Vector2D<?,?> saxis,
                                             Point2D<?,?> center,
                                             Tuple2D<?> extents)
```
    Compute the center point and axis extents of a parallelogram from a set of points and the parallelogram axes.
    This function assumes no constraint on the axes' orientations, in opposite to OrientedRectangle2afp.calculatesCenterPointAxisExtents(Iterable, Vector2D, Point2D, Tuple2D), which assumes orthogonal axes.
    
    Parameters:
    
    points - is the list of the points enclosed by the parallogram
    
    raxis - is the R axis of the parallogram
    
    saxis - is the S axis of the parallogram
    
    center - is the point which is set with the parallogram's center coordinates.
    
    extents - are the extents of the parallogram for the R and S axis.
    
    See Also:
    
    "MGPCG pages 222-223 (oriented bounding box)", OrientedRectangle2afp.calculatesCenterPointAxisExtents(Iterable, Vector2D, Point2D, Tuple2D)
  - findsClosestPointPointParallelogram
```
static void findsClosestPointPointParallelogram(double px,
                                                double py,
                                                double centerX,
                                                double centerY,
                                                double axis1X,
                                                double axis1Y,
                                                double axis1Extent,
                                                double axis2X,
                                                double axis2Y,
                                                double axis2Extent,
                                                Point2D<?,?> closest)
```
    Given a point p, this function computes the point q1 on (or in) this parallelogram, closest to p; and the point q2 on the parallelogram, farthest to p. If there are several points, the function will return one of those. Remember this function may return an approximate result when points remain on parallelogram plane of symmetry.
    
    Parameters:
    
    px - is the X coordinate of the point to test.
    
    py - is the Y coordinate of the point to test.
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 vector.
    
    axis1Y - is the Y coordinate of the axis 1 vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 vector.
    
    axis2Y - is the Y coordinate of the axis 2 vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    closest - the closest point.
  - findsFarthestPointPointParallelogram
```
static void findsFarthestPointPointParallelogram(double px,
                                                 double py,
                                                 double centerX,
                                                 double centerY,
                                                 double axis1X,
                                                 double axis1Y,
                                                 double axis1Extent,
                                                 double axis2X,
                                                 double axis2Y,
                                                 double axis2Extent,
                                                 Point2D<?,?> farthest)
```
    Given a point p, this function computes the point q2 on the parallelogram, farthest to p. If there are several points, the function will return one of those. Remember this function may return an approximate result when points remain on parallelogram plane of symmetry.
    
    Parameters:
    
    px - is the X coordinate of the point to test.
    
    py - is the Y coordinate of the point to test.
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 vector.
    
    axis1Y - is the Y coordinate of the axis 1 vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 vector.
    
    axis2Y - is the Y coordinate of the axis 2 vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    farthest - the farthest point.
  - containsParallelogramPoint
```
@Pure
static boolean containsParallelogramPoint(double centerX,
                                          double centerY,
                                          double axis1X,
                                          double axis1Y,
                                          double axis1Extent,
                                          double axis2X,
                                          double axis2Y,
                                          double axis2Extent,
                                          double px,
                                          double py)
```
    Replies if a point is inside in the parallelogram.
    
    Parameters:
    
    px - is the X coordinate of the point to test.
    
    py - is the Y coordinate of the point to test.
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    Returns:
    
    true if the given point is inside the parallelogram; otherwise false.
  - containsParallelogramRectangle
```
@Pure
static boolean containsParallelogramRectangle(double centerX,
                                              double centerY,
                                              double axis1X,
                                              double axis1Y,
                                              double axis1Extent,
                                              double axis2X,
                                              double axis2Y,
                                              double axis2Extent,
                                              double rx,
                                              double ry,
                                              double rwidth,
                                              double rheight)
```
    Replies if a rectangle is inside the parallelogram.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    rx - is the X coordinate of the lower point of the rectangle.
    
    ry - is the Y coordinate of the lower point of the rectangle.
    
    rwidth - is the width of the rectangle.
    
    rheight - is the height of the rectangle.
    
    Returns:
    
    true if the given rectangle is inside the parallelogram; otherwise false.
  - intersectsParallelogramSegment
```
@Pure
static boolean intersectsParallelogramSegment(double centerX,
                                              double centerY,
                                              double axis1X,
                                              double axis1Y,
                                              double axis1Extent,
                                              double axis2X,
                                              double axis2Y,
                                              double axis2Extent,
                                              double s1x,
                                              double s1y,
                                              double s2x,
                                              double s2y)
```
    Replies if the specified parallelogram intersects the specified segment.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the OBB.
    
    s1x - is the X coordinate of the first point of the segment.
    
    s1y - is the Y coordinate of the first point of the segment.
    
    s2x - is the X coordinate of the second point of the segment.
    
    s2y - is the Y coordinate of the second point of the segment.
    
    Returns:
    
    true if intersecting, otherwise false
  - intersectsParallelogramTriangle
```
@Pure
static boolean intersectsParallelogramTriangle(double centerX,
                                               double centerY,
                                               double axis1X,
                                               double axis1Y,
                                               double axis1Extent,
                                               double axis2X,
                                               double axis2Y,
                                               double axis2Extent,
                                               double tx1,
                                               double ty1,
                                               double tx2,
                                               double ty2,
                                               double tx3,
                                               double ty3)
```
    Replies if the specified parallelogram intersects the specified triangle.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the OBB.
    
    tx1 - is the X coordinate of the first point of the triangle.
    
    ty1 - is the Y coordinate of the first point of the triangle.
    
    tx2 - is the X coordinate of the second point of the triangle.
    
    ty2 - is the Y coordinate of the second point of the triangle.
    
    tx3 - is the X coordinate of the third point of the triangle.
    
    ty3 - is the Y coordinate of the third point of the triangle.
    
    Returns:
    
    true if intersecting, otherwise false
  - intersectsParallelogramCircle
```
@Pure
static boolean intersectsParallelogramCircle(double centerX,
                                             double centerY,
                                             double axis1X,
                                             double axis1Y,
                                             double axis1Extent,
                                             double axis2X,
                                             double axis2Y,
                                             double axis2Extent,
                                             double circleX,
                                             double circleY,
                                             double circleRadius)
```
    Replies if the specified parallelogram intersects the specified circle.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    circleX - is the coordinate of the circle center.
    
    circleY - is the coordinate of the circle center.
    
    circleRadius - is the radius of the circle.
    
    Returns:
    
    true if intersecting, otherwise false
  - intersectsParallelogramEllipse
```
@Pure
static boolean intersectsParallelogramEllipse(double centerX,
                                              double centerY,
                                              double axis1X,
                                              double axis1Y,
                                              double axis1Extent,
                                              double axis2X,
                                              double axis2Y,
                                              double axis2Extent,
                                              double ex,
                                              double ey,
                                              double ewidth,
                                              double eheight)
```
    Replies if the parallelogram intersects the given ellipse.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    ex - is the coordinate of the min point of the ellipse rectangle.
    
    ey - is the coordinate of the min point of the ellipse rectangle.
    
    ewidth - is the width of the ellipse.
    
    eheight - is the height of the ellipse.
    
    Returns:
    
    true if intersecting, otherwise false
  - intersectsParallelogramRectangle
```
@Pure
static boolean intersectsParallelogramRectangle(double centerX,
                                                double centerY,
                                                double axis1X,
                                                double axis1Y,
                                                double axis1Extent,
                                                double axis2X,
                                                double axis2Y,
                                                double axis2Extent,
                                                double rx,
                                                double ry,
                                                double rwidth,
                                                double rheight)
```
    Replies if the parallelogram intersects the given rectangle.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    rx - is the X coordinate of the lower point of the rectangle.
    
    ry - is the Y coordinate of the lower point of the rectangle.
    
    rwidth - is the width of the rectangle.
    
    rheight - is the height of the rectangle.
    
    Returns:
    
    true if intersecting, otherwise false.
  - intersectsParallelogramParallelogram
```
@Pure
static boolean intersectsParallelogramParallelogram(double centerX1,
                                                    double centerY1,
                                                    double axis1X1,
                                                    double axis1Y1,
                                                    double axis1Extent1,
                                                    double axis2X1,
                                                    double axis2Y1,
                                                    double axis2Extent1,
                                                    double centerX2,
                                                    double centerY2,
                                                    double axis1X2,
                                                    double axis1Y2,
                                                    double axis1Extent2,
                                                    double axis2X2,
                                                    double axis2Y2,
                                                    double axis2Extent2)
```
    Replies if two parallelograms intersect.
    
    Parameters:
    
    centerX1 - is the X coordinate of the first parallelogram center.
    
    centerY1 - is the Y coordinate of the first parallelogram center.
    
    axis1X1 - is the X coordinate of the axis 1 unit vector.
    
    axis1Y1 - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent1 - is the extent of the axis 1 of the first parallelogram.
    
    axis2X1 - is the X coordinate of the axis 2 unit vector.
    
    axis2Y1 - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent1 - is the extent of the axis 2 of the first parallelogram.
    
    centerX2 - is the X coordinate of the second parallelogram center.
    
    centerY2 - is the Y coordinate of the second parallelogram center.
    
    axis1X2 - is the X coordinate of the axis 1 unit vector.
    
    axis1Y2 - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent2 - is the extent of the axis 1 of the second parallelogram.
    
    axis2X2 - is the X coordinate of the axis 2 unit vector.
    
    axis2Y2 - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent2 - is the extent of the axis 2 of the second parallelogram.
    
    Returns:
    
    true if intersecting, otherwise false.
  - intersectsParallelogramRoundRectangle
```
@Pure
static boolean intersectsParallelogramRoundRectangle(double centerX,
                                                     double centerY,
                                                     double axis1X,
                                                     double axis1Y,
                                                     double axis1Extent,
                                                     double axis2X,
                                                     double axis2Y,
                                                     double axis2Extent,
                                                     double rx,
                                                     double ry,
                                                     double rwidth,
                                                     double rheight,
                                                     double rArcWidth,
                                                     double rArcHeight)
```
    Replies if the parallelogram intersects the given rectangle.
    
    Parameters:
    
    centerX - is the X coordinate of the parallelogram center.
    
    centerY - is the Y coordinate of the parallelogram center.
    
    axis1X - is the X coordinate of the axis 1 unit vector.
    
    axis1Y - is the Y coordinate of the axis 1 unit vector.
    
    axis1Extent - is the extent of the axis 1 of the parallelogram.
    
    axis2X - is the X coordinate of the axis 2 unit vector.
    
    axis2Y - is the Y coordinate of the axis 2 unit vector.
    
    axis2Extent - is the extent of the axis 2 of the parallelogram.
    
    rx - is the X coordinate of the lower point of the rectangle.
    
    ry - is the Y coordinate of the lower point of the rectangle.
    
    rwidth - is the width of the rectangle.
    
    rheight - is the height of the rectangle.
    
    rArcWidth - is the width of the rectangle arcs.
    
    rArcHeight - is the height of the rectangle arcs.
    
    Returns:
    
    true if intersecting, otherwise false.
  - intersectsParallelogramPathIterator
```
static <T extends PathElement2afp> boolean intersectsParallelogramPathIterator(double centerX,
                                                                               double centerY,
                                                                               double axis1X,
                                                                               double axis1Y,
                                                                               double extent1,
                                                                               double axis2X,
                                                                               double axis2Y,
                                                                               double extent2,
                                                                               PathIterator2afp<T> pathIterator)
```
    Tests if the interior of the specified PathIterator2afp intersects the interior of a specified set of oriented rectangular coordinates.
    
    Type Parameters:
    
    T - the type of the path elements to iterate on.
    
    Parameters:
    
    centerX - the specified X coordinate of the rectangle center.
    
    centerY - the specified Y coordinate of the rectangle center.
    
    axis1X - the X coordinate of the first axis of the parallelogram.
    
    axis1Y - the Y coordinate of the first axis of the parallelogram.
    
    extent1 - the extent the rectangle along the first axis.
    
    axis2X - the X coordinate of the second axis of the parallelogram.
    
    axis2Y - the Y coordinate of the second axis of the parallelogram.
    
    extent2 - the extent the rectangle along the second axis.
    
    pathIterator - the specified PathIterator2afp.
    
    Returns:
    
    true if the specified PathIterator2afp and the interior of the specified set of rectangular coordinates intersect each other; false otherwise.
  - equalsToShape
```
@Pure
default boolean equalsToShape(IT shape)
```
    Description copied from interface: Shape2D
    
    Replies this shape is equal to the given shape.
    
    Specified by:
    
    equalsToShape in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    shape - the shape to compare to.
    
    Returns:
    
    true if this shape is equal is equal to the given path.
  - getCenter
```
@Pure
P getCenter()
```
    Replies the center.
    
    Returns:
    
    the center.
  - getCenterX
```
@Pure
double getCenterX()
```
    Replies the center x.
    
    Returns:
    
    the center x.
  - getCenterY
```
@Pure
double getCenterY()
```
    Replies the center y.
    
    Returns:
    
    the center y.
  - setCenter
```
void setCenter(double cx,
               double cy)
```
    Set the center.
    
    Parameters:
    
    cx - the center x.
    
    cy - the center y.
  - setCenter
```
default void setCenter(Point2D<?,?> center)
```
    Set the center.
    
    Parameters:
    
    center - the center point.
  - setCenterX
```
void setCenterX(double cx)
```
    Set the center's x.
    
    Parameters:
    
    cx - the center x.
  - setCenterY
```
void setCenterY(double cy)
```
    Set the center's y.
    
    Parameters:
    
    cy - the center y.
  - getFirstAxis
```
@Pure
V getFirstAxis()
```
    Replies the first axis of the oriented rectangle.
    
    Returns:
    
    the unit vector of the first axis.
  - getFirstAxisX
```
@Pure
double getFirstAxisX()
```
    Replies coordinate x of the first axis of the oriented rectangle.
    
    Returns:
    
    the coordinate x of the unit vector of the first axis.
  - getFirstAxisY
```
@Pure
double getFirstAxisY()
```
    Replies coordinate y of the first axis of the oriented rectangle.
    
    Returns:
    
    the coordinate y of the unit vector of the first axis.
  - getSecondAxis
```
@Pure
V getSecondAxis()
```
    Replies the second axis of the oriented rectangle.
    
    Returns:
    
    the unit vector of the second axis.
  - getSecondAxisX
```
@Pure
double getSecondAxisX()
```
    Replies coordinate x of the second axis of the oriented rectangle.
    
    Returns:
    
    the coordinate x of the unit vector of the second axis.
  - getSecondAxisY
```
@Pure
double getSecondAxisY()
```
    Replies coordinate y of the second axis of the oriented rectangle.
    
    Returns:
    
    the coordinate y of the unit vector of the second axis.
  - getFirstAxisExtent
```
@Pure
double getFirstAxisExtent()
```
    Replies the demi-size of the rectangle along its first axis.
    
    Returns:
    
    the extent along the first axis.
  - setFirstAxisExtent
```
void setFirstAxisExtent(double extent)
```
    Change the demi-size of the rectangle along its first axis.
    
    Parameters:
    
    extent - - the extent along the first axis.
  - getSecondAxisExtent
```
@Pure
double getSecondAxisExtent()
```
    Replies the demi-size of the rectangle along its second axis.
    
    Returns:
    
    the extent along the second axis.
  - setSecondAxisExtent
```
void setSecondAxisExtent(double extent)
```
    Change the demi-size of the rectangle along its second axis.
    
    Parameters:
    
    extent - - the extent along the second axis.
  - setFirstAxis
```
default void setFirstAxis(Vector2D<?,?> axis)
```
    Set the first axis of the rectangle. The second axis is updated to be perpendicular to the new first axis.
    
    Parameters:
    
    axis - - the new values for the first axis.
  - setFirstAxis
```
default void setFirstAxis(Vector2D<?,?> axis,
                          double extent)
```
    Set the first axis of the rectangle. The second axis is updated to be perpendicular to the new first axis.
    
    Parameters:
    
    axis - - the new values for the first axis.
    
    extent - - the extent of the axis.
  - setFirstAxis
```
default void setFirstAxis(double x,
                          double y)
```
    Set the first axis of the rectangle. The second axis is updated to be perpendicular to the new first axis.
    
    Parameters:
    
    x - x coordinate of the first axis.
    
    y - y coordinate of the first axis.
  - setFirstAxis
```
void setFirstAxis(double x,
                  double y,
                  double extent)
```
    Set the first axis of the rectangle. The second axis is updated to be perpendicular to the new first axis.
    
    Parameters:
    
    x - x coordinate of the first axis.
    
    y - y coordinate of the first axis.
    
    extent - the demi-size of th parallelogram along the first axis.
  - setSecondAxis
```
default void setSecondAxis(Vector2D<?,?> axis)
```
    Set the second axis of the rectangle. The first axis is updated to be perpendicular to the new second axis.
    
    Parameters:
    
    axis - - the new values for the first axis.
  - setSecondAxis
```
default void setSecondAxis(Vector2D<?,?> axis,
                           double extent)
```
    Set the second axis of the rectangle. The first axis is updated to be perpendicular to the new second axis.
    
    Parameters:
    
    axis - - the new values for the first axis.
    
    extent - - the extent of the axis.
  - setSecondAxis
```
default void setSecondAxis(double x,
                           double y)
```
    Set the second axis of the rectangle. The first axis is updated to be perpendicular to the new second axis.
    
    Parameters:
    
    x - - the new values for the first axis.
    
    y - - the new values for the first axis.
  - setSecondAxis
```
void setSecondAxis(double x,
                   double y,
                   double extent)
```
    Set the second axis of the rectangle. The first axis is updated to be perpendicular to the new second axis.
    
    Parameters:
    
    x - x coordinate of the second axis.
    
    y - y coordinate of the second axis.
    
    extent - the demi-size of the parallelogram along the second axis.
  - isEmpty
```
@Pure
default boolean isEmpty()
```
    Description copied from interface: Shape2D
    
    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 Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Returns:
    
    true if the shape is empty; false otherwise.
  - clear
```
default void clear()
```
    Description copied from interface: Shape2D
    
    Reset this shape to be equivalent to an just-created instance of this shape type.
    
    Specified by:
    
    clear in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
  - set
```
default void set(IT parallelogram)
```
    Description copied from interface: Shape2D
    
    Set this shape with the attributes of the given shape.
    
    Specified by:
    
    set in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    parallelogram - the shape to copy.
  - set
```
default void set(Point2D<?,?> center,
                 Vector2D<?,?> axis1,
                 double axis1Extent,
                 Vector2D<?,?> axis2,
                 double axis2Extent)
```
    Set the parallelogram.
    
    Parameters:
    
    center - is the parallelogram center.
    
    axis1 - is the first axis of the parallelogram.
    
    axis1Extent - is the extent of the first axis.
    
    axis2 - is the second axis of the parallelogram.
    
    axis2Extent - is the extent of the second axis.
  - set
```
void set(double centerX,
         double centerY,
         double axis1X,
         double axis1Y,
         double axis1Extent,
         double axis2X,
         double axis2Y,
         double axis2Extent)
```
    Set the oriented rectangle.
    
    Parameters:
    
    centerX - is the X coordinate of the OBR center.
    
    centerY - is the Y coordinate of the OBR center.
    
    axis1X - is the X coordinate of first axis of the OBR.
    
    axis1Y - is the Y coordinate of first axis of the OBR.
    
    axis1Extent - is the extent of the first axis.
    
    axis2X - is the X coordinate of second axis of the OBR.
    
    axis2Y - is the Y coordinate of second axis of the OBR.
    
    axis2Extent - is the extent of the second axis.
  - setFromPointCloud
```
default void setFromPointCloud(Iterable<? extends Point2D<?,?>> pointCloud)
```
    Set the parallelogram from a could of points.
    This function changes the axes to be orthogonal.
    
    Parameters:
    
    pointCloud - - the cloud of points.
    
    Since:
    
    14.0
  - setFromPointCloud
```
default void setFromPointCloud(Point2D<?,?>... pointCloud)
```
    Set the oriented rectangle from a could of points.
    
    Parameters:
    
    pointCloud - - the cloud of points.
    
    Since:
    
    14.0
  - getDistanceSquared
```
@Pure
default double getDistanceSquared(Point2D<?,?> pt)
```
    Description copied from interface: Shape2D
    
    Replies the squared value of the minimal distance from this shape to the given point.
    
    Specified by:
    
    getDistanceSquared in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,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(Point2D<?,?> pt)
```
    Description copied from interface: Shape2D
    
    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 Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point
    
    Returns:
    
    the distance.
  - getDistanceLinf
```
@Pure
default double getDistanceLinf(Point2D<?,?> pt)
```
    Description copied from interface: Shape2D
    
    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)].
    
    Specified by:
    
    getDistanceLinf in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point
    
    Returns:
    
    the distance.
  - translate
```
default void translate(double dx,
                       double dy)
```
    Description copied from interface: Shape2afp
    
    Translate the shape.
    
    Specified by:
    
    translate in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    dx - x translation.
    
    dy - y translation.
  - rotate
```
default void rotate(double angle)
```
    Roate the parallelogram around its center.
    
    Parameters:
    
    angle - the angle of rotation.
  - contains
```
@Pure
default boolean contains(double x,
                         double y)
```
    Description copied from interface: Shape2afp
    
    Replies if the given point is inside this shape.
    
    Specified by:
    
    contains in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    x - x coordinate of the point to test.
    
    y - y coordinate of the point to test.
    
    Returns:
    
    true if the given point is inside this shape, otherwise false.
  - contains
```
@Pure
default boolean contains(Rectangle2afp<?,?,?,?,?,?> rectangle)
```
    Description copied from interface: Shape2afp
    
    Replies if the given rectangle is inside this shape.
    
    Specified by:
    
    contains in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    rectangle - the rectangle.
    
    Returns:
    
    true if the given rectangle is inside this shape, otherwise false.
  - intersects
```
@Pure
default boolean intersects(Circle2afp<?,?,?,?,?,?> circle)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given circle.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    circle - the circle.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(Ellipse2afp<?,?,?,?,?,?> ellipse)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given ellipse.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    ellipse - the ellipse.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(OrientedRectangle2afp<?,?,?,?,?,?> orientedRectangle)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given rectangle.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    orientedRectangle - the oriented rectangle.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(Parallelogram2afp<?,?,?,?,?,?> parallelogram)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given parallelogram.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    parallelogram - the parallelogram.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(Rectangle2afp<?,?,?,?,?,?> rectangle)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given rectangle.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    rectangle - the rectangle.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(RoundRectangle2afp<?,?,?,?,?,?> roundRectangle)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given rectangle.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    roundRectangle - the round rectangle.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(Segment2afp<?,?,?,?,?,?> segment)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given line.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,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(Triangle2afp<?,?,?,?,?,?> triangle)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given triangle.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    triangle - the triangle.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(MultiShape2afp<?,?,?,?,?,?,?> multishape)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the given multishape.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    multishape - the multishape.
    
    Returns:
    
    true if this shape is intersecting the given shape; false if there is no intersection.
  - intersects
```
@Pure
default boolean intersects(PathIterator2afp<?> iterator)
```
    Description copied from interface: Shape2afp
    
    Replies if this shape is intersecting the shape representing the given path iterator.
    
    Specified by:
    
    intersects in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,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.
  - getPathIterator
```
@Pure
default PathIterator2afp<IE> getPathIterator(Transform2D transform)
```
    Description copied from interface: Shape2D
    
    Replies the elements of the paths.
    
    Specified by:
    
    getPathIterator in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    transform - is the transformation to apply to the path.
    
    Returns:
    
    the elements of the path.
  - toBoundingBox
```
@Pure
default void toBoundingBox(B box)
```
    Description copied from interface: Shape2D
    
    Replies the bounds of the shape.
    
    Specified by:
    
    toBoundingBox in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    box - is set with the bounds of the shape.
  - getClosestPointTo
```
@Pure
default P getClosestPointTo(Point2D<?,?> pt)
```
    Description copied from interface: Shape2D
    
    Replies the point on the shape that is closest to the given point.
    
    Specified by:
    
    getClosestPointTo in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,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(Circle2afp<?,?,?,?,?,?> circle)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given circle.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    circle - the circle.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(Ellipse2afp<?,?,?,?,?,?> ellipse)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given ellipse.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    ellipse - the ellipse.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(Rectangle2afp<?,?,?,?,?,?> rectangle)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given rectangle.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    rectangle - the rectangle.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(Segment2afp<?,?,?,?,?,?> segment)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given segment.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    segment - the segment.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(Triangle2afp<?,?,?,?,?,?> triangle)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given triangle.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    triangle - the triangle.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(OrientedRectangle2afp<?,?,?,?,?,?> orientedRectangle)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given oriented rectangle.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    orientedRectangle - the oriented rectangle.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(Parallelogram2afp<?,?,?,?,?,?> parallelogram)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given parallelogram.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    parallelogram - the parallelogram.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(RoundRectangle2afp<?,?,?,?,?,?> roundRectangle)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given round rectangle.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    roundRectangle - the round rectangle.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getClosestPointTo
```
default P getClosestPointTo(Path2afp<?,?,?,?,?,?> path)
```
    Description copied from interface: Shape2afp
    
    Replies the closest point on this shape to the given path.
    If the two shapes are intersecting, the replied point is always at the intersection of the two shapes. This function does not enforce the meaning of the replied point in the case of shape intersection. In other words, this function is warranting that the reply point is the either the penetration point, nor a perimeter point, nor any point with a specific meaning.
    
    Specified by:
    
    getClosestPointTo in interface Shape2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    path - the path.
    
    Returns:
    
    the closest point on the shape; or the point itself if it is inside the shape.
  - getFarthestPointTo
```
@Pure
default P getFarthestPointTo(Point2D<?,?> pt)
```
    Description copied from interface: Shape2D
    
    Replies the point on the shape that is farthest the given point.
    
    Specified by:
    
    getFarthestPointTo in interface Shape2D<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Parallelogram2afp<?,?,IE,P,V,B>,IE extends PathElement2afp,P extends Point2D<? super P,? super V>,V extends Vector2D<? super V,? super P>,B extends Rectangle2afp<?,?,IE,P,V,B>>
    
    Parameters:
    
    pt - the point.
    
    Returns:
    
    the farthest point on the shape.
  - isCCW
```
default boolean isCCW()
```
    Replies if the axes of the parallelogram are defined in a counter-clockwise order.
    
    Returns:
    
    true if the paralelogram axes are defined in a counter-clockwise order.

Nested Class Summary

Method Summary

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

Methods inherited from interface org.arakhne.afc.math.geometry.d2.afp.Shape2afp

Methods inherited from interface org.arakhne.afc.math.geometry.d2.Shape2D

Method Detail

calculatesOrthogonalAxes

findsVectorProjectionRAxisPoint

findsVectorProjectionSAxisVector

calculatesCenterPointAxisExtents

findsClosestPointPointParallelogram

findsFarthestPointPointParallelogram

containsParallelogramPoint

containsParallelogramRectangle

intersectsParallelogramSegment

intersectsParallelogramTriangle

intersectsParallelogramCircle

intersectsParallelogramEllipse

intersectsParallelogramRectangle

intersectsParallelogramParallelogram

intersectsParallelogramRoundRectangle

intersectsParallelogramPathIterator

equalsToShape

getCenter

getCenterX

getCenterY

setCenter

setCenter

setCenterX

setCenterY

getFirstAxis

getFirstAxisX

getFirstAxisY

getSecondAxis

getSecondAxisX

getSecondAxisY

getFirstAxisExtent

setFirstAxisExtent

getSecondAxisExtent

setSecondAxisExtent

setFirstAxis

setFirstAxis

setFirstAxis

setFirstAxis

setSecondAxis

setSecondAxis

setSecondAxis

setSecondAxis

isEmpty

clear

set

set

set

setFromPointCloud

setFromPointCloud

getDistanceSquared

getDistanceL1

getDistanceLinf

translate

rotate

contains

contains

intersects

intersects

intersects

intersects

intersects

intersects

intersects

intersects

intersects

intersects

getPathIterator

toBoundingBox

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo