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, RectangularShape2afp<ST,IT,IE,P,V,B>, Serializable, Shape2afp<ST,IT,IE,P,V,B>, Shape2D<ST,IT,PathIterator2afp<IE>,P,V,B>

All Known Subinterfaces:

Circle2afp<ST,IT,IE,P,V,B>

All Known Implementing Classes:

Circle2d, Circle2dfx, Ellipse2d, Ellipse2dfx
```
public interface Ellipse2afp<ST extends Shape2afp<?,?,IE,P,V,B>,IT extends Ellipse2afp<?,?,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 RectangularShape2afp<ST,IT,IE,P,V,B>
```
Fonctional interface that represented a 2D ellipse on a plane.

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`	`Ellipse2afp.AbstractEllipsePathIterator<T extends PathElement2afp>`	Abstract iterator on the path elements of the ellipse.
`static class`	`Ellipse2afp.EllipsePathIterator<T extends PathElement2afp>`	Iterator on the ellipse path elements.
`static class`	`Ellipse2afp.PrivateAPI`	Private API functions for the ellipses.
`static class`	`Ellipse2afp.TransformedEllipsePathIterator<T extends PathElement2afp>`	Iterator on the path elements of a transformed ellipse.

Method Summary

All Methods Static Methods Instance Methods Default Methods
Modifier and Type	Method	Description
`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`	`containsEllipsePoint(double ellx, double elly, double ellw, double ellh, double px, double py)`	Replies if the given point is inside the given ellipse.
`static boolean`	`containsEllipseRectangle(double ex, double ey, double ewidth, double eheight, double rxmin, double rymin, double rxmax, double rymax)`	Replies if a rectangle is inside in the ellipse.
`default boolean`	`equalsToShape(IT shape)`	Replies this shape is equal to the given shape.
`static void`	`findsClosestPointShallowEllipsePoint(double px, double py, double ex, double ey, double ew, double eh, Point2D<?,?> result)`	Replies the closest point from the given point in the shallow ellipse.
`static void`	`findsClosestPointSolidEllipsePoint(double px, double py, double ex, double ey, double ew, double eh, Point2D<?,?> result)`	Replies the closest point from the given point in the solid ellipse.
`static void`	`findsFarthestPointShallowEllipsePoint(double px, double py, double ex, double ey, double ew, double eh, Point2D<?,?> result)`	Replies the farthest point from the given point in the shallow ellipse.
`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.
`default PathIterator2afp<IE>`	`getFlatteningPathIterator()`	Replies a path iterator on this shape that is replacing the curves by line approximations.
`default double`	`getHorizontalRadius()`	Replies the horizontal radius of the ellipse.
`default P`	`getMaxFocusPoint()`	Replies the focus point with the higher coordinates.
`default P`	`getMinFocusPoint()`	Replies the focus point with the lower coordinates.
`default PathIterator2afp<IE>`	`getPathIterator(Transform2D transform)`	Replies the elements of the paths.
`default double`	`getVerticalRadius()`	Replies the vertical radius of the ellipse.
`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`	`intersectsEllipseCircle(double ex, double ey, double ewidth, double eheight, double cx, double cy, double cradius)`	Replies if an ellipse and a circle are intersecting.
`static boolean`	`intersectsEllipseEllipse(double x1, double y1, double width1, double height1, double x2, double y2, double width2, double height2)`	Replies if two ellipses are intersecting.
`static boolean`	`intersectsEllipseLine(double ex, double ey, double ew, double eh, double x1, double y1, double x2, double y2)`	Replies if an ellipse and a line are intersecting.
`static boolean`	`intersectsEllipseRectangle(double ex, double ey, double ewidth, double eheight, double x3, double y3, double x4, double y4)`	Replies if two ellipses are intersecting.
`static boolean`	`intersectsEllipseSegment(double ex, double ey, double ew, double eh, double x1, double y1, double x2, double y2, boolean intersectsWhenTouching)`	Replies if an ellipse and a segment are intersecting.

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

Methods inherited from interface org.arakhne.afc.math.geometry.d2.afp.RectangularShape2afp
clear, getCenter, getCenterX, getCenterY, getHeight, getMaxX, getMaxY, getMinX, getMinY, getWidth, inflate, isEmpty, set, set, set, setFromCenter, setFromCenter, setFromCorners, setFromCorners, setHeight, setMaxX, setMaxY, setMinX, setMinY, setWidth, toBoundingBox, translate

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
  - containsEllipsePoint
```
@Pure
static boolean containsEllipsePoint(double ellx,
                                    double elly,
                                    double ellw,
                                    double ellh,
                                    double px,
                                    double py)
```
    Replies if the given point is inside the given ellipse.
    
    Parameters:
    
    ellx - is the min corner of the ellipse.
    
    elly - is the min corner of the ellipse.
    
    ellw - is the width of the ellipse.
    
    ellh - is the height of the ellipse.
    
    px - is the point to test.
    
    py - is the point to test.
    
    Returns:
    
    true if the point is inside the ellipse; false if not.
  - findsClosestPointSolidEllipsePoint
```
static void findsClosestPointSolidEllipsePoint(double px,
                                               double py,
                                               double ex,
                                               double ey,
                                               double ew,
                                               double eh,
                                               Point2D<?,?> result)
```
    Replies the closest point from the given point in the solid ellipse. A solid ellipse is an ellipse with a border and an interior area.
    
    Parameters:
    
    px - is the coordinate of the point.
    
    py - is the coordinate of the point.
    
    ex - is the coordinate of the min corner of the ellipse
    
    ey - is the coordinate of the min corner of the ellipse
    
    ew - is the width of the ellipse
    
    eh - is the height of the ellipse
    
    result - the closest point in the ellipse.
    
    See Also:
    
    findsClosestPointShallowEllipsePoint(double, double, double, double, double, double, Point2D)
  - findsClosestPointShallowEllipsePoint
```
static void findsClosestPointShallowEllipsePoint(double px,
                                                 double py,
                                                 double ex,
                                                 double ey,
                                                 double ew,
                                                 double eh,
                                                 Point2D<?,?> result)
```
    Replies the closest point from the given point in the shallow ellipse. A shallow ellipse is an ellipse with a border and not an interior area.
    
    Parameters:
    
    px - is the coordinate of the point.
    
    py - is the coordinate of the point.
    
    ex - is the coordinate of the min corner of the ellipse
    
    ey - is the coordinate of the min corner of the ellipse
    
    ew - is the width of the ellipse
    
    eh - is the height of the ellipse
    
    result - the closest point in the ellipse.
    
    See Also:
    
    findsClosestPointSolidEllipsePoint(double, double, double, double, double, double, Point2D)
  - findsFarthestPointShallowEllipsePoint
```
static void findsFarthestPointShallowEllipsePoint(double px,
                                                  double py,
                                                  double ex,
                                                  double ey,
                                                  double ew,
                                                  double eh,
                                                  Point2D<?,?> result)
```
    Replies the farthest point from the given point in the shallow ellipse. A shallow ellipse is an ellipse with a border and not an interior area.
    
    Parameters:
    
    px - is the coordinate of the point.
    
    py - is the coordinate of the point.
    
    ex - is the coordinate of the min corner of the ellipse
    
    ey - is the coordinate of the min corner of the ellipse
    
    ew - is the width of the ellipse
    
    eh - is the height of the ellipse
    
    result - the farthest point in the ellipse.
  - containsEllipseRectangle
```
@Pure
static boolean containsEllipseRectangle(double ex,
                                        double ey,
                                        double ewidth,
                                        double eheight,
                                        double rxmin,
                                        double rymin,
                                        double rxmax,
                                        double rymax)
```
    Replies if a rectangle is inside in the ellipse.
    
    Parameters:
    
    ex - is the lowest corner of the ellipse.
    
    ey - is the lowest corner of the ellipse.
    
    ewidth - is the width of the ellipse.
    
    eheight - is the height of the ellipse.
    
    rxmin - is the lowest corner of the rectangle.
    
    rymin - is the lowest corner of the rectangle.
    
    rxmax - is the uppest corner of the rectangle.
    
    rymax - is the uppest corner of the rectangle.
    
    Returns:
    
    true if the given rectangle is inside the ellipse; otherwise false.
  - intersectsEllipseEllipse
```
@Pure
static boolean intersectsEllipseEllipse(double x1,
                                        double y1,
                                        double width1,
                                        double height1,
                                        double x2,
                                        double y2,
                                        double width2,
                                        double height2)
```
    Replies if two ellipses are intersecting.
    
    Parameters:
    
    x1 - is the lowest corner of the first ellipse.
    
    y1 - is the lowest corner of the first ellipse.
    
    width1 - is the width of the first ellipse.
    
    height1 - is the height of the first ellipse.
    
    x2 - is the lowest corner of the second ellipse.
    
    y2 - is the lowest corner of the second ellipse.
    
    width2 - is the width of the second ellipse.
    
    height2 - is the height of the second ellipse.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
  - intersectsEllipseCircle
```
@Pure
static boolean intersectsEllipseCircle(double ex,
                                       double ey,
                                       double ewidth,
                                       double eheight,
                                       double cx,
                                       double cy,
                                       double cradius)
```
    Replies if an ellipse and a circle are intersecting.
    
    Parameters:
    
    ex - is the lowest corner of the ellipse.
    
    ey - is the lowest corner of the ellipse.
    
    ewidth - is the width of the ellipse.
    
    eheight - is the height of the ellipse.
    
    cx - is the center of the circle.
    
    cy - is the center of the circle.
    
    cradius - the radius of the circle.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
  - intersectsEllipseLine
```
@Pure
static boolean intersectsEllipseLine(double ex,
                                     double ey,
                                     double ew,
                                     double eh,
                                     double x1,
                                     double y1,
                                     double x2,
                                     double y2)
```
    Replies if an ellipse and a line are intersecting.
    
    Parameters:
    
    ex - is the lowest corner of the ellipse.
    
    ey - is the lowest corner of the ellipse.
    
    ew - is the width of the ellipse.
    
    eh - is the height of the ellipse.
    
    x1 - is the first point of the line.
    
    y1 - is the first point of the line.
    
    x2 - is the second point of the line.
    
    y2 - is the second point of the line.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
    
    See Also:
    
    "http://blog.csharphelper.com/2012/09/24/calculate-where-a-line-segment-and-an-ellipse-intersect-in-c.aspx"
  - intersectsEllipseSegment
```
@Pure
static boolean intersectsEllipseSegment(double ex,
                                        double ey,
                                        double ew,
                                        double eh,
                                        double x1,
                                        double y1,
                                        double x2,
                                        double y2,
                                        boolean intersectsWhenTouching)
```
    Replies if an ellipse and a segment are intersecting.
    
    Parameters:
    
    ex - is the lowest corner of the ellipse.
    
    ey - is the lowest corner of the ellipse.
    
    ew - is the width of the ellipse.
    
    eh - is the height of the ellipse.
    
    x1 - is the first point of the segment.
    
    y1 - is the first point of the segment.
    
    x2 - is the second point of the segment.
    
    y2 - is the second point of the segment.
    
    intersectsWhenTouching - indicates if there is an intersection if the segment is touching the ellipse at one point.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
    
    See Also:
    
    "http://blog.csharphelper.com/2012/09/24/calculate-where-a-line-segment-and-an-ellipse-intersect-in-c.aspx"
  - intersectsEllipseRectangle
```
@Pure
static boolean intersectsEllipseRectangle(double ex,
                                          double ey,
                                          double ewidth,
                                          double eheight,
                                          double x3,
                                          double y3,
                                          double x4,
                                          double y4)
```
    Replies if two ellipses are intersecting.
    
    Parameters:
    
    ex - is the first corner of the first ellipse.
    
    ey - is the first corner of the first ellipse.
    
    ewidth - is the width of the first ellipse.
    
    eheight - is the height of the first ellipse.
    
    x3 - is the first corner of the second rectangle.
    
    y3 - is the first corner of the second rectangle.
    
    x4 - is the second corner of the second rectangle.
    
    y4 - is the second corner of the second rectangle.
    
    Returns:
    
    true if the two shapes are intersecting; otherwise false
  - 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 Ellipse2afp<?,?,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.
  - 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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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.
  - 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 Ellipse2afp<?,?,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
```
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 Ellipse2afp<?,?,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
```
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 Ellipse2afp<?,?,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
```
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 Ellipse2afp<?,?,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(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 Ellipse2afp<?,?,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(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 Ellipse2afp<?,?,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(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 Ellipse2afp<?,?,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(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 Ellipse2afp<?,?,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(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 Ellipse2afp<?,?,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(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 Ellipse2afp<?,?,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
```
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 Ellipse2afp<?,?,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.
  - 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 Ellipse2afp<?,?,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.
  - getPathIterator
```
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 Ellipse2afp<?,?,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.
  - getFlatteningPathIterator
```
@Pure
default PathIterator2afp<IE> getFlatteningPathIterator()
```
    Replies a path iterator on this shape that is replacing the curves by line approximations.
    
    Returns:
    
    the iterator on the approximation.
    
    See Also:
    
    Shape2D.getPathIterator(), GeomConstants.SPLINE_APPROXIMATION_RATIO
  - getClosestPointTo
```
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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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 Ellipse2afp<?,?,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
```
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 Ellipse2afp<?,?,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.
  - getHorizontalRadius
```
default double getHorizontalRadius()
```
    Replies the horizontal radius of the ellipse.
    
    Returns:
    
    the horizontal radius.
  - getVerticalRadius
```
default double getVerticalRadius()
```
    Replies the vertical radius of the ellipse.
    
    Returns:
    
    the vertical radius.
  - getMinFocusPoint
```
default P getMinFocusPoint()
```
    Replies the focus point with the lower coordinates.
    The foci always lie on the major (longest) axis, spaced equally each side of the center. If the major axis and minor axis are the same length, the figure is a circle and both foci are at the center.
    
    Returns:
    
    the focus point.
  - getMaxFocusPoint
```
default P getMaxFocusPoint()
```
    Replies the focus point with the higher coordinates.
    The foci always lie on the major (longest) axis, spaced equally each side of the center. If the major axis and minor axis are the same length, the figure is a circle and both foci are at the center.
    
    Returns:
    
    the focus point.

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.RectangularShape2afp

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

containsEllipsePoint

findsClosestPointSolidEllipsePoint

findsClosestPointShallowEllipsePoint

findsFarthestPointShallowEllipsePoint

containsEllipseRectangle

intersectsEllipseEllipse

intersectsEllipseCircle

intersectsEllipseLine

intersectsEllipseSegment

intersectsEllipseRectangle

equalsToShape

getDistanceSquared

getDistanceL1

getDistanceLinf

contains

contains

intersects

intersects

intersects

intersects

intersects

intersects

intersects

intersects

intersects

intersects

getPathIterator

getFlatteningPathIterator

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getClosestPointTo

getFarthestPointTo

getHorizontalRadius

getVerticalRadius

getMinFocusPoint

getMaxFocusPoint