Circle2D

Documentation of 'math.geom2d.conic.Circle2D' Java class Circle2D

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java.lang.Object
- math.geom2d.curve.AbstractContinuousCurve2D
- - math.geom2d.curve.AbstractSmoothCurve2D
  - - math.geom2d.conic.Circle2D

All Implemented Interfaces:

java.lang.Cloneable, CircleLine2D, CirculinearBoundary2D, CirculinearContinuousCurve2D, CirculinearContour2D, CirculinearCurve2D, CirculinearElement2D, CirculinearRing2D, CirculinearShape2D, CircularShape2D, Conic2D, EllipseShape2D, ContinuousCurve2D, Curve2D, SmoothCurve2D, Boundary2D, ContinuousOrientedCurve2D, Contour2D, OrientedCurve2D, SmoothContour2D, SmoothOrientedCurve2D, GeometricObject2D, Shape2D
```
public class Circle2D
extends AbstractSmoothCurve2D
implements EllipseShape2D, CircleLine2D, CircularShape2D, CirculinearRing2D, java.lang.Cloneable
```
A circle in the plane, defined as the set of points located at an equal distance from the circle center. A circle is a particular ellipse, with first and second axis length equal.

Nested Class Summary
- Nested classes/interfaces inherited from interface math.geom2d.conic.Conic2D
  Conic2D.Type

Constructor Summary

Constructors
Constructor and Description
`Circle2D()` Empty constructor: center 0,0 and radius 0.
`Circle2D(double xcenter, double ycenter, double radius)` Create a new circle with specified center and radius
`Circle2D(double xcenter, double ycenter, double radius, boolean direct)` Create a new circle with specified center, radius and orientation.
`Circle2D(Point2D center, double radius)` Create a new circle with specified point center and radius
`Circle2D(Point2D center, double radius, boolean direct)` Create a new circle with specified center, radius and orientation

Method Summary

All Methods Static Methods Instance Methods Concrete Methods Deprecated Methods
Modifier and Type	Method and Description
`boolean`	`almostEquals(GeometricObject2D obj, double eps)` Checks if the two objects are similar up to a given threshold value.
`double`	`angle()` Returns the angle of the circle main axis with the Ox axis.
`java.awt.geom.GeneralPath`	`appendPath(java.awt.geom.GeneralPath path)` Append the path of the curve to the given path.
`Ellipse2D`	`asEllipse()` Converts this circle to an instance of Ellipse2D.
`LinearRing2D`	`asPolyline(int n)` Converts this continuous curve to an instance of LinearCurve2D with the given number of edges.
`Box2D`	`boundingBox()` Returns bounding box of the circle.
`CirculinearDomain2D`	`buffer(double dist)` Computes the buffer of the shape, formed by the set of points located at a distance from the shape that is lower or equal to d.
`Point2D`	`center()` Returns center of the circle.
`static java.util.Collection<Point2D>`	`circlesIntersections(Circle2D circle1, Circle2D circle2)` Computes the intersections points between two circles or circular shapes.
`static Point2D`	`circumCenter(Point2D p1, Point2D p2, Point2D p3)` Computes the center of the circumscribed circle of the three input points.
`static Circle2D`	`circumCircle(Point2D p1, Point2D p2, Point2D p3)` Computes the circumscribed circle of the 3 input points.
`CurveSet2D<? extends CircularShape2D>`	`clip(Box2D box)` Clips the circle by a box.
`Circle2D`	`clone()` Deprecated. use copy constructor instead (0.11.2)
`double[]`	`conicCoefficients()` Returns Cartesian equation of the circle:
`Conic2D.Type`	`conicType()`
`boolean`	`contains(double x, double y)` Returns true if the point (x, y) lies exactly on the circle.
`boolean`	`contains(Point2D p)` Returns true if the point p lies on the ellipse, with precision given by Shape2D.ACCURACY.
`java.util.Collection<? extends Circle2D>`	`continuousCurves()` Returns the collection of continuous curves which constitute this curve.
`static Circle2D`	`create(Point2D center, double radius)` Deprecated. since 0.11.1
`static Circle2D`	`create(Point2D center, double radius, boolean direct)` Deprecated. since 0.11.1
`static Circle2D`	`create(Point2D p1, Point2D p2, Point2D p3)` Deprecated. replaced by createCircle(Point2D, Point2D, Point2D) (0.11.1)
`double`	`curvature(double t)` Returns the inverse of the circle radius.
`double`	`distance(double x, double y)` Returns the distance of the shape to the given point, specified by x and y, or the distance of point to the frontier of the shape in the case of a plain (i.e.
`double`	`distance(Point2D point)` Returns the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
`CirculinearDomain2D`	`domain()` Returns the domain delimited by this boundary.
`void`	`draw(java.awt.Graphics2D g2)` Draws the curve on the given Graphics2D object.
`double`	`eccentricity()` Returns 0, which is the eccentricity of a circle by definition.
`boolean`	`equals(java.lang.Object obj)`
`void`	`fill(java.awt.Graphics2D g2)` Fills the interior of the boundary, using the Graphics current Paint.
`Point2D`	`firstPoint()` Get the first point of the circle, which is the same as the last point.
`Point2D`	`focus1()` Returns the first focus, which for a circle is the same point as the center.
`Point2D`	`focus2()` Returns the second focus, which for a circle is the same point as the center.
`static java.util.Collection<Point2D>`	`getIntersections(Circle2D circle1, Circle2D circle2)` Deprecated. replaced by circlesIntersections(Circle2D, Circle2D) (0.11.1)
`static java.util.Collection<Point2D>`	`getIntersections(CircularShape2D circle, LinearShape2D line)` Deprecated. replaced by lineCircleIntersections(LinearShape2D, CircularShape2D) (0.11.1)
`double`	`getT0()` Deprecated. replaced by t0() (since 0.11.1).
`double`	`getT1()` Deprecated. replaced by t1() (since 0.11.1).
`java.util.Collection<Point2D>`	`intersections(Circle2D circle)` Returns the intersection points with another circle.
`java.util.Collection<Point2D>`	`intersections(LinearShape2D line)` Computes intersections of the circle with a line.
`boolean`	`isBounded()` Always returns true.
`boolean`	`isCircle()` Returns true if this ellipse shape is similar to a circle, i.e.
`boolean`	`isClosed()` Returns true, as an ellipse is always closed.
`boolean`	`isDirect()` Returns true if circle has a direct orientation.
`boolean`	`isEmpty()` Always returns false.
`boolean`	`isInside(Point2D point)` Test whether the point is inside the circle.
`Point2D`	`lastPoint()` Get the last point of the circle, which is the same as the first point.
`double`	`length()` Returns perimeter of the circle (equal to 2PIradius).
`double`	`length(double pos)` Returns the geodesic leangth until the given position.
`static java.util.Collection<Point2D>`	`lineCircleIntersections(LinearShape2D line, CircularShape2D circle)` Computes intersections of a circle with a line.
`Circle2D`	`parallel(double d)` Returns the parallel circle located at a distance d from this circle.
`Point2D`	`point(double t)` Get the position of the curve from internal parametric representation, depending on the parameter t.
`double`	`position(double length)`
`double`	`position(Point2D point)` Computes the position of the point on the curve.
`double`	`project(Point2D point)` Computes the projection position of the point on the circle, by computing angle with horizonrtal
`static StraightLine2D`	`radicalAxis(Circle2D circle1, Circle2D circle2)` Computes the radical axis of the two circles.
`double`	`radius()` Returns the radius of the circle.
`Circle2D`	`reverse()` Returns the circle with same center and same radius, but with the opposite orientation.
`double`	`signedDistance(double x, double y)` The same as distanceSigned(Point2D), but by passing 2 double as arguments.
`double`	`signedDistance(Point2D point)` Returns the signed distance of the curve to the given point.
`java.util.Collection<? extends Circle2D>`	`smoothPieces()` Returns a set of smooth curves, which contains only the circle.
`CircleArc2D`	`subCurve(double t0, double t1)` Returns a new CircleArc2D.
`Circle2D`	`supportingCircle()` Returns the circle itself.
`double`	`t0()` Returns the parameter of the first point of the ellipse, set to 0.
`double`	`t1()` Returns the parameter of the last point of the ellipse, set to 2*PI.
`Vector2D`	`tangent(double t)` Returns the tangent of the curve at the given position.
`java.lang.String`	`toString()`
`EllipseShape2D`	`transform(AffineTransform2D trans)` Transforms this circle by an affine transform.
`CircleLine2D`	`transform(CircleInversion2D inv)` Transforms the shape by a circle inversion.
`Vector2D`	`vector1()` Returns the first direction vector of the circle, in the direction of the major axis.
`Vector2D`	`vector2()` Returns the second direction vector of the circle, in the direction of the minor axis.
`double`	`windingAngle(Point2D point)` Return either 0, 2PI or -2PI, depending whether the point is located inside the interior of the ellipse or not.

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D
isSingular, leftTangent, normal, rightTangent, singularPoints, vertices

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D
asAwtShape

Methods inherited from class java.lang.Object
getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface math.geom2d.curve.SmoothCurve2D
normal

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D
leftTangent, rightTangent

- Constructor Detail
  - Circle2D
```
public Circle2D()
```
    Empty constructor: center 0,0 and radius 0.
  - Circle2D
```
public Circle2D(Point2D center,
                double radius)
```
    Create a new circle with specified point center and radius
  - Circle2D
```
public Circle2D(Point2D center,
                double radius,
                boolean direct)
```
    Create a new circle with specified center, radius and orientation
  - Circle2D
```
public Circle2D(double xcenter,
                double ycenter,
                double radius)
```
    Create a new circle with specified center and radius
  - Circle2D
```
public Circle2D(double xcenter,
                double ycenter,
                double radius,
                boolean direct)
```
    Create a new circle with specified center, radius and orientation.
- Method Detail
  - create
```
@Deprecated
public static Circle2D create(Point2D center,
                                          double radius)
```
    Deprecated. since 0.11.1
    
    Creates a circle from a center and a radius.
  - create
```
@Deprecated
public static Circle2D create(Point2D center,
                                          double radius,
                                          boolean direct)
```
    Deprecated. since 0.11.1
    
    Creates a circle from a center, a radius, and a flag indicating orientation.
  - create
```
@Deprecated
public static Circle2D create(Point2D p1,
                                          Point2D p2,
                                          Point2D p3)
```
    Deprecated. replaced by createCircle(Point2D, Point2D, Point2D) (0.11.1)
    
    Creates a circle containing 3 points.
  - getIntersections
```
@Deprecated
public static java.util.Collection<Point2D> getIntersections(Circle2D circle1,
                                                                         Circle2D circle2)
```
    Deprecated. replaced by circlesIntersections(Circle2D, Circle2D) (0.11.1)
  - getIntersections
```
@Deprecated
public static java.util.Collection<Point2D> getIntersections(CircularShape2D circle,
                                                                         LinearShape2D line)
```
    Deprecated. replaced by lineCircleIntersections(LinearShape2D, CircularShape2D) (0.11.1)
    
    Computes intersections of a circle with a line. Returns an array of Point2D, of size 0, 1 or 2 depending on the distance between circle and line. If there are 2 intersections points, the first one in the array is the first one on the line.
  - circumCircle
```
public static Circle2D circumCircle(Point2D p1,
                                    Point2D p2,
                                    Point2D p3)
```
    Computes the circumscribed circle of the 3 input points.
    
    Returns:
    
    the circle that contains the three input points
    
    Throws:
    
    ColinearPoints2DException - if the 3 points are colinear
  - circumCenter
```
public static Point2D circumCenter(Point2D p1,
                                   Point2D p2,
                                   Point2D p3)
```
    Computes the center of the circumscribed circle of the three input points.
    
    Throws:
    
    ColinearPoints2DException - if the 3 points are colinear
  - circlesIntersections
```
public static java.util.Collection<Point2D> circlesIntersections(Circle2D circle1,
                                                                 Circle2D circle2)
```
    Computes the intersections points between two circles or circular shapes.
    
    Parameters:
    
    circle1 - an instance of circle or circle arc
    
    circle2 - an instance of circle or circle arc
    
    Returns:
    
    a collection of 0, 1 or 2 intersection points
  - lineCircleIntersections
```
public static java.util.Collection<Point2D> lineCircleIntersections(LinearShape2D line,
                                                                    CircularShape2D circle)
```
    Computes intersections of a circle with a line. Returns an array of Point2D, of size 0, 1 or 2 depending on the distance between circle and line. If there are 2 intersections points, the first one in the array is the first one on the line.
    
    Returns:
    
    a collection of intersection points
    
    Since:
    
    0.11.1
  - radicalAxis
```
public static StraightLine2D radicalAxis(Circle2D circle1,
                                         Circle2D circle2)
```
    Computes the radical axis of the two circles.
    
    Returns:
    
    the radical axis of the two circles.
    
    Throws:
    
    java.lang.IllegalArgumentException - if the two circles have same center
    
    Since:
    
    0.11.1
  - radius
```
public double radius()
```
    Returns the radius of the circle.
  - intersections
```
public java.util.Collection<Point2D> intersections(Circle2D circle)
```
    Returns the intersection points with another circle. The result is a collection with 0, 1 or 2 points.
  - supportingCircle
```
public Circle2D supportingCircle()
```
    Returns the circle itself.
    
    Specified by:
    
    supportingCircle in interface CircularShape2D
  - isDirect
```
public boolean isDirect()
```
    Returns true if circle has a direct orientation.
    
    Specified by:
    
    isDirect in interface EllipseShape2D
  - center
```
public Point2D center()
```
    Returns center of the circle.
    
    Specified by:
    
    center in interface EllipseShape2D
  - vector1
```
public Vector2D vector1()
```
    Returns the first direction vector of the circle, in the direction of the major axis.
  - vector2
```
public Vector2D vector2()
```
    Returns the second direction vector of the circle, in the direction of the minor axis.
  - angle
```
public double angle()
```
    Returns the angle of the circle main axis with the Ox axis.
  - focus1
```
public Point2D focus1()
```
    Returns the first focus, which for a circle is the same point as the center.
  - focus2
```
public Point2D focus2()
```
    Returns the second focus, which for a circle is the same point as the center.
  - isCircle
```
public boolean isCircle()
```
    Description copied from interface: EllipseShape2D
    
    Returns true if this ellipse shape is similar to a circle, i.e. has same length for both semi-axes.
    
    Specified by:
    
    isCircle in interface EllipseShape2D
  - asEllipse
```
public Ellipse2D asEllipse()
```
    Converts this circle to an instance of Ellipse2D.
    
    Returns:
    
    a new instance of Ellipse2D that corresponds to this circle
  - conicType
```
public Conic2D.Type conicType()
```
    Specified by:
    
    conicType in interface Conic2D
  - conicCoefficients
```
public double[] conicCoefficients()
```
    Returns Cartesian equation of the circle:
    (x-xc)^2 + (y-yc)^2 = r^2, giving:
    x^2 + 0*x*y + y^2 -2*xc*x -2*yc*y + xc*xc+yc*yc-r*r = 0.
    
    Specified by:
    
    conicCoefficients in interface Conic2D
  - eccentricity
```
public double eccentricity()
```
    Returns 0, which is the eccentricity of a circle by definition.
    
    Specified by:
    
    eccentricity in interface Conic2D
  - buffer
```
public CirculinearDomain2D buffer(double dist)
```
    Description copied from interface: CirculinearShape2D
    
    Computes the buffer of the shape, formed by the set of points located at a distance from the shape that is lower or equal to d.
    
    Specified by:
    
    buffer in interface CirculinearShape2D
    
    Parameters:
    
    dist - the maximal distance between a point of the buffer and the shape
    
    Returns:
    
    the buffer of the shape
  - parallel
```
public Circle2D parallel(double d)
```
    Returns the parallel circle located at a distance d from this circle. For direct circle, distance is positive outside of the circle, and negative inside. This is the contrary for indirect circles.
    
    Specified by:
    
    parallel in interface CircleLine2D
    
    Specified by:
    
    parallel in interface CirculinearBoundary2D
    
    Specified by:
    
    parallel in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    parallel in interface CirculinearContour2D
    
    Specified by:
    
    parallel in interface CirculinearCurve2D
    
    Specified by:
    
    parallel in interface CirculinearElement2D
    
    Specified by:
    
    parallel in interface CirculinearRing2D
    
    Parameters:
    
    d - the distance between the original curve and he parallel curve.
    
    Returns:
    
    the parallel curve
  - length
```
public double length()
```
    Returns perimeter of the circle (equal to 2*PI*radius).
    
    Specified by:
    
    length in interface CirculinearCurve2D
    
    Returns:
    
    the length of the curve
  - length
```
public double length(double pos)
```
    Returns the geodesic leangth until the given position.
    
    Specified by:
    
    length in interface CirculinearCurve2D
    
    Returns:
    
    the length from the beginning to the position given by pos
    
    See Also:
    
    CirculinearCurve2D.length(double)
  - position
```
public double position(double length)
```
    Specified by:
    
    position in interface CirculinearCurve2D
    
    Returns:
    
    the position located at a given geodesic distance from the origin
  - transform
```
public CircleLine2D transform(CircleInversion2D inv)
```
    Description copied from interface: CirculinearShape2D
    
    Transforms the shape by a circle inversion. The result is still an instance a CirculinearShape2D.
    
    Specified by:
    
    transform in interface CircleLine2D
    
    Specified by:
    
    transform in interface CirculinearBoundary2D
    
    Specified by:
    
    transform in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    transform in interface CirculinearContour2D
    
    Specified by:
    
    transform in interface CirculinearCurve2D
    
    Specified by:
    
    transform in interface CirculinearElement2D
    
    Specified by:
    
    transform in interface CirculinearShape2D
    
    Parameters:
    
    inv - the circle inversion
    
    Returns:
    
    the transformed shape
  - domain
```
public CirculinearDomain2D domain()
```
    Description copied from interface: Boundary2D
    
    Returns the domain delimited by this boundary.
    
    Specified by:
    
    domain in interface CirculinearBoundary2D
    
    Specified by:
    
    domain in interface CirculinearRing2D
    
    Specified by:
    
    domain in interface Boundary2D
    
    Returns:
    
    the domain delimited by this boundary
  - fill
```
public void fill(java.awt.Graphics2D g2)
```
    Description copied from interface: Boundary2D
    
    Fills the interior of the boundary, using the Graphics current Paint.
    
    Specified by:
    
    fill in interface Boundary2D
    
    Parameters:
    
    g2 - the Graphics to fill on
  - windingAngle
```
public double windingAngle(Point2D point)
```
    Return either 0, 2*PI or -2*PI, depending whether the point is located inside the interior of the ellipse or not.
    
    Specified by:
    
    windingAngle in interface OrientedCurve2D
    
    Parameters:
    
    point - a point of the plane
    
    Returns:
    
    a signed angle
  - tangent
```
public Vector2D tangent(double t)
```
    Description copied from interface: SmoothCurve2D
    
    Returns the tangent of the curve at the given position.
    
    Specified by:
    
    tangent in interface SmoothCurve2D
    
    Parameters:
    
    t - a position on the curve
    
    Returns:
    
    the tangent vector computed for position t
    
    See Also:
    
    SmoothCurve2D.normal(double)
  - curvature
```
public double curvature(double t)
```
    Returns the inverse of the circle radius. If the circle is indirect, the curvature is negative.
    
    Specified by:
    
    curvature in interface ContinuousCurve2D
    
    Parameters:
    
    t - the position on the curve
    
    Returns:
    
    the curvature of the curve for position t
  - smoothPieces
```
public java.util.Collection<? extends Circle2D> smoothPieces()
```
    Returns a set of smooth curves, which contains only the circle.
    
    Specified by:
    
    smoothPieces in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    smoothPieces in interface ContinuousCurve2D
    
    Overrides:
    
    smoothPieces in class AbstractSmoothCurve2D
  - isClosed
```
public boolean isClosed()
```
    Returns true, as an ellipse is always closed.
    
    Specified by:
    
    isClosed in interface ContinuousCurve2D
  - asPolyline
```
public LinearRing2D asPolyline(int n)
```
    Description copied from class: AbstractContinuousCurve2D
    
    Converts this continuous curve to an instance of LinearCurve2D with the given number of edges. Returns either an instance of Polyline2D or LinearRing2D, depending on the curve is closed or not. This method can be overridden to return the correct type.
    
    Specified by:
    
    asPolyline in interface ContinuousCurve2D
    
    Overrides:
    
    asPolyline in class AbstractContinuousCurve2D
    
    Parameters:
    
    n - the number of line segments
    
    Returns:
    
    a polyline with n line segments.
    
    See Also:
    
    ContinuousCurve2D.asPolyline(int)
  - isInside
```
public boolean isInside(Point2D point)
```
    Test whether the point is inside the circle. The test is performed by translating the point, and re-scaling it such that its coordinates are expressed in unit circle basis.
    
    Specified by:
    
    isInside in interface Boundary2D
    
    Specified by:
    
    isInside in interface OrientedCurve2D
    
    Parameters:
    
    point - a point in the plane
    
    Returns:
    
    true if the point is on the left side of the curve.
  - signedDistance
```
public double signedDistance(Point2D point)
```
    Description copied from interface: OrientedCurve2D
    
    Returns the signed distance of the curve to the given point. The distance is positive if the point lies outside the shape, and negative if the point lies inside the shape. In both cases, absolute value of distance is equals to the distance to the border of the shape.
    
    Specified by:
    
    signedDistance in interface OrientedCurve2D
    
    Parameters:
    
    point - a point of the plane
    
    Returns:
    
    the signed distance to the curve
  - signedDistance
```
public double signedDistance(double x,
                             double y)
```
    Description copied from interface: OrientedCurve2D
    
    The same as distanceSigned(Point2D), but by passing 2 double as arguments.
    
    Specified by:
    
    signedDistance in interface OrientedCurve2D
    
    Parameters:
    
    x - x-coord of a point
    
    y - y-coord of a point
    
    Returns:
    
    the signed distance of the point (x,y) to the curve
  - isBounded
```
public boolean isBounded()
```
    Always returns true.
    
    Specified by:
    
    isBounded in interface Shape2D
  - isEmpty
```
public boolean isEmpty()
```
    Always returns false.
    
    Specified by:
    
    isEmpty in interface Shape2D
    
    Returns:
    
    true if the shape does not contain any point.
  - t0
```
public double t0()
```
    Returns the parameter of the first point of the ellipse, set to 0.
    
    Specified by:
    
    t0 in interface Curve2D
  - getT0
```
@Deprecated
public double getT0()
```
    Deprecated. replaced by t0() (since 0.11.1).
    
    Specified by:
    
    getT0 in interface Curve2D
  - t1
```
public double t1()
```
    Returns the parameter of the last point of the ellipse, set to 2*PI.
    
    Specified by:
    
    t1 in interface Curve2D
  - getT1
```
@Deprecated
public double getT1()
```
    Deprecated. replaced by t1() (since 0.11.1).
    
    Specified by:
    
    getT1 in interface Curve2D
  - point
```
public Point2D point(double t)
```
    Get the position of the curve from internal parametric representation, depending on the parameter t. This parameter is between the two limits 0 and 2*Math.PI.
    
    Specified by:
    
    point in interface Curve2D
  - firstPoint
```
public Point2D firstPoint()
```
    Get the first point of the circle, which is the same as the last point.
    
    Specified by:
    
    firstPoint in interface Curve2D
    
    Overrides:
    
    firstPoint in class AbstractContinuousCurve2D
    
    Returns:
    
    the first point of the curve
    
    See Also:
    
    Curve2D.t0(), Curve2D.point(double)
  - lastPoint
```
public Point2D lastPoint()
```
    Get the last point of the circle, which is the same as the first point.
    
    Specified by:
    
    lastPoint in interface Curve2D
    
    Overrides:
    
    lastPoint in class AbstractContinuousCurve2D
    
    Returns:
    
    the last point of the curve.
    
    See Also:
    
    Curve2D.t1(), Curve2D.point(double)
  - position
```
public double position(Point2D point)
```
    Description copied from interface: Curve2D
    
    Computes the position of the point on the curve. If the point does not belong to the curve, return Double.NaN. It is complementary to the point(double) method.
    
    Specified by:
    
    position in interface Curve2D
    
    Parameters:
    
    point - a point belonging to the curve
    
    Returns:
    
    the position of the point on the curve
    
    See Also:
    
    Curve2D.point(double)
  - project
```
public double project(Point2D point)
```
    Computes the projection position of the point on the circle, by computing angle with horizonrtal
    
    Specified by:
    
    project in interface Curve2D
    
    Parameters:
    
    point - a point to project
    
    Returns:
    
    the position of the closest orthogonal projection
  - reverse
```
public Circle2D reverse()
```
    Returns the circle with same center and same radius, but with the opposite orientation.
    
    Specified by:
    
    reverse in interface CircleLine2D
    
    Specified by:
    
    reverse in interface CirculinearBoundary2D
    
    Specified by:
    
    reverse in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    reverse in interface CirculinearContour2D
    
    Specified by:
    
    reverse in interface CirculinearCurve2D
    
    Specified by:
    
    reverse in interface CirculinearElement2D
    
    Specified by:
    
    reverse in interface CirculinearRing2D
    
    Specified by:
    
    reverse in interface CircularShape2D
    
    Specified by:
    
    reverse in interface Conic2D
    
    Specified by:
    
    reverse in interface EllipseShape2D
    
    Specified by:
    
    reverse in interface ContinuousCurve2D
    
    Specified by:
    
    reverse in interface Curve2D
    
    Specified by:
    
    reverse in interface SmoothCurve2D
    
    Specified by:
    
    reverse in interface Boundary2D
    
    Specified by:
    
    reverse in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    reverse in interface Contour2D
    
    Specified by:
    
    reverse in interface OrientedCurve2D
    
    Specified by:
    
    reverse in interface SmoothContour2D
    
    Specified by:
    
    reverse in interface SmoothOrientedCurve2D
  - subCurve
```
public CircleArc2D subCurve(double t0,
                            double t1)
```
    Returns a new CircleArc2D. t0 and t1 are position on circle.
    
    Specified by:
    
    subCurve in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    subCurve in interface CirculinearCurve2D
    
    Specified by:
    
    subCurve in interface CirculinearElement2D
    
    Specified by:
    
    subCurve in interface CircularShape2D
    
    Specified by:
    
    subCurve in interface ContinuousCurve2D
    
    Specified by:
    
    subCurve in interface Curve2D
    
    Specified by:
    
    subCurve in interface SmoothCurve2D
    
    Specified by:
    
    subCurve in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    subCurve in interface SmoothOrientedCurve2D
    
    Parameters:
    
    t0 - position of the start of the sub-curve
    
    t1 - position of the end of the sub-curve
    
    Returns:
    
    the portion of original curve comprised between t0 and t1.
  - continuousCurves
```
public java.util.Collection<? extends Circle2D> continuousCurves()
```
    Description copied from interface: Curve2D
    
    Returns the collection of continuous curves which constitute this curve.
    
    Specified by:
    
    continuousCurves in interface CirculinearBoundary2D
    
    Specified by:
    
    continuousCurves in interface CirculinearCurve2D
    
    Specified by:
    
    continuousCurves in interface EllipseShape2D
    
    Specified by:
    
    continuousCurves in interface Curve2D
    
    Specified by:
    
    continuousCurves in interface Boundary2D
    
    Overrides:
    
    continuousCurves in class AbstractContinuousCurve2D
    
    Returns:
    
    a collection of continuous curves.
  - distance
```
public double distance(Point2D point)
```
    Description copied from interface: Shape2D
    
    Returns the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
    
    Specified by:
    
    distance in interface Shape2D
  - distance
```
public double distance(double x,
                       double y)
```
    Description copied from interface: Shape2D
    
    Returns the distance of the shape to the given point, specified by x and y, or the distance of point to the frontier of the shape in the case of a plain (i.e. fillable) shape.
    
    Specified by:
    
    distance in interface Shape2D
  - intersections
```
public java.util.Collection<Point2D> intersections(LinearShape2D line)
```
    Computes intersections of the circle with a line. Return an array of Point2D, of size 0, 1 or 2 depending on the distance between circle and line. If there are 2 intersections points, the first one in the array is the first one on the line.
    
    Specified by:
    
    intersections in interface Curve2D
  - clip
```
public CurveSet2D<? extends CircularShape2D> clip(Box2D box)
```
    Clips the circle by a box. The result is an instance of CurveSet2D, which contains only instances of CircleArc2D or Circle2D. If the circle is not clipped, the result is an instance of CurveSet2D which contains 0 curves.
    
    Specified by:
    
    clip in interface CirculinearBoundary2D
    
    Specified by:
    
    clip in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    clip in interface CirculinearCurve2D
    
    Specified by:
    
    clip in interface CirculinearElement2D
    
    Specified by:
    
    clip in interface CircularShape2D
    
    Specified by:
    
    clip in interface Conic2D
    
    Specified by:
    
    clip in interface ContinuousCurve2D
    
    Specified by:
    
    clip in interface Curve2D
    
    Specified by:
    
    clip in interface SmoothCurve2D
    
    Specified by:
    
    clip in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    clip in interface OrientedCurve2D
    
    Specified by:
    
    clip in interface SmoothOrientedCurve2D
    
    Specified by:
    
    clip in interface Shape2D
    
    Parameters:
    
    box - the clipping box
    
    Returns:
    
    the clipped shape
  - contains
```
public boolean contains(Point2D p)
```
    Returns true if the point p lies on the ellipse, with precision given by Shape2D.ACCURACY.
    
    Specified by:
    
    contains in interface Shape2D
  - contains
```
public boolean contains(double x,
                        double y)
```
    Returns true if the point (x, y) lies exactly on the circle.
    
    Specified by:
    
    contains in interface Shape2D
  - appendPath
```
public java.awt.geom.GeneralPath appendPath(java.awt.geom.GeneralPath path)
```
    Description copied from interface: ContinuousCurve2D
    
    Append the path of the curve to the given path.
    
    Specified by:
    
    appendPath in interface ContinuousCurve2D
    
    Parameters:
    
    path - a path to modify
    
    Returns:
    
    the modified path
  - draw
```
public void draw(java.awt.Graphics2D g2)
```
    Description copied from interface: Curve2D
    
    Draws the curve on the given Graphics2D object.
    
    Specified by:
    
    draw in interface Curve2D
    
    Specified by:
    
    draw in interface Shape2D
    
    Overrides:
    
    draw in class AbstractContinuousCurve2D
    
    Parameters:
    
    g2 - the graphics to draw the curve in
  - almostEquals
```
public boolean almostEquals(GeometricObject2D obj,
                            double eps)
```
    Description copied from interface: GeometricObject2D
    
    Checks if the two objects are similar up to a given threshold value. This method can be used to compare the results of geometric computations, that introduce errors due to numerical computations.
    
    Specified by:
    
    almostEquals in interface GeometricObject2D
    
    Parameters:
    
    obj - the object to compare
    
    eps - a threshold value, for example the minimal coordinate difference
    
    Returns:
    
    true if both object have the same value up to the threshold
  - boundingBox
```
public Box2D boundingBox()
```
    Returns bounding box of the circle.
    
    Specified by:
    
    boundingBox in interface Shape2D
    
    Returns:
    
    the bounding box of the shape.
  - transform
```
public EllipseShape2D transform(AffineTransform2D trans)
```
    Transforms this circle by an affine transform. If the transformed shape is a circle (ellipse with equal axis lengths), returns an instance of Circle2D. The resulting ellipse is direct if this ellipse and the transform are either both direct or both indirect.
    
    Specified by:
    
    transform in interface Conic2D
    
    Specified by:
    
    transform in interface EllipseShape2D
    
    Specified by:
    
    transform in interface ContinuousCurve2D
    
    Specified by:
    
    transform in interface Curve2D
    
    Specified by:
    
    transform in interface SmoothCurve2D
    
    Specified by:
    
    transform in interface Boundary2D
    
    Specified by:
    
    transform in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    transform in interface Contour2D
    
    Specified by:
    
    transform in interface OrientedCurve2D
    
    Specified by:
    
    transform in interface SmoothContour2D
    
    Specified by:
    
    transform in interface SmoothOrientedCurve2D
    
    Specified by:
    
    transform in interface Shape2D
    
    Parameters:
    
    trans - an affine transform
    
    Returns:
    
    the transformed shape
  - toString
```
public java.lang.String toString()
```
    Overrides:
    
    toString in class java.lang.Object
  - equals
```
public boolean equals(java.lang.Object obj)
```
    Overrides:
    
    equals in class java.lang.Object
  - clone
```
@Deprecated
public Circle2D clone()
```
    Deprecated. use copy constructor instead (0.11.2)
    
    Specified by:
    
    clone in interface Curve2D
    
    Specified by:
    
    clone in class AbstractSmoothCurve2D

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Class Circle2D

Nested Class Summary

Nested classes/interfaces inherited from interface math.geom2d.conic.Conic2D

Constructor Summary

Method Summary

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D

Methods inherited from class java.lang.Object

Methods inherited from interface math.geom2d.curve.SmoothCurve2D

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D

Constructor Detail

Circle2D

Circle2D

Circle2D

Circle2D

Circle2D

Method Detail

create

create

create

getIntersections

getIntersections

circumCircle

circumCenter

circlesIntersections

lineCircleIntersections

radicalAxis

radius

intersections

supportingCircle

isDirect

center

vector1

vector2

angle

focus1

focus2

isCircle

asEllipse

conicType

conicCoefficients

eccentricity

buffer

parallel

length

length

position

transform

domain

fill

windingAngle

tangent

curvature

smoothPieces

isClosed

asPolyline

isInside

signedDistance

signedDistance

isBounded

isEmpty

t0

getT0

t1

getT1

point

firstPoint

lastPoint

position

project

reverse

subCurve

continuousCurves

distance

distance

intersections

clip

contains

contains

appendPath