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`java.lang.Object`

`java.awt.geom.CubicCurve2D`

**Implemented Interfaces:**- Cloneable, Shape

**Known Direct Subclasses:**- CubicCurve2D.Double, CubicCurve2D.Float

The

`CubicCurve2D`

class defines a cubic parametric curve
segment in (x, y) coordinate space.
This class is only the abstract superclass for all objects which store a 2D cubic curve segment. The actual storage representation of the coordinates is left to the subclass.

## Nested Class Summary

`static class`

`CubicCurve2D.Double`

- A cubic parametric curve segment specified with double coordinates.

`static class`

`CubicCurve2D.Float`

- A cubic parametric curve segment specified with float coordinates.

## Constructor Summary

`CubicCurve2D()`

- This is an abstract class that cannot be instantiated directly.

## Method Summary

`Object`

`clone()`

- Creates a new object of the same class as this object.

`boolean`

`contains(double x, double y)`

- Tests if a specified coordinate is inside the boundary of the shape.

`boolean`

`contains(double x, double y, double w, double h)`

- Tests if the interior of the shape entirely contains the specified set of rectangular coordinates.

`boolean`

`boolean`

`contains(Rectangle2D r)`

- Tests if the interior of the shape entirely contains the specified
`Rectangle2D`

.

`Rectangle`

`getBounds()`

- Returns the bounding box of the shape.

`abstract Point2D`

`getCtrlP1()`

- Returns the first control point.

`abstract Point2D`

`getCtrlP2()`

- Returns the second control point.

`abstract double`

`getCtrlX1()`

- Returns the X coordinate of the first control point in double precision.

`abstract double`

`getCtrlX2()`

- Returns the X coordinate of the second control point in double precision.

`abstract double`

`getCtrlY1()`

- Returns the Y coordinate of the first control point in double precision.

`abstract double`

`getCtrlY2()`

- Returns the Y coordinate of the second control point in double precision.

`double`

`getFlatness()`

- Returns the flatness of this curve.

`static double`

`getFlatness(coords[] , int offset)`

- Returns the flatness of the cubic curve specified by the controlpoints stored in the indicated array at the indicated index.

`static double`

`getFlatness(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)`

- Returns the flatness of the cubic curve specified by the indicated controlpoints.

`double`

`getFlatnessSq()`

- Returns the square of the flatness of this curve.

`static double`

`getFlatnessSq(coords[] , int offset)`

- Returns the square of the flatness of the cubic curve specified by the controlpoints stored in the indicated array at the indicated index.

`static double`

`getFlatnessSq(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)`

- Returns the square of the flatness of the cubic curve specified by the indicated controlpoints.

`abstract Point2D`

`getP1()`

- Returns the start point.

`abstract Point2D`

`getP2()`

- Returns the end point.

`PathIterator`

`getPathIterator(AffineTransform at)`

- Returns an iteration object that defines the boundary of the shape.

`PathIterator`

`getPathIterator(AffineTransform at, double flatness)`

- Return an iteration object that defines the boundary of the flattened shape.

`abstract double`

`getX1()`

- Returns the X coordinate of the start point in double precision.

`abstract double`

`getX2()`

- Returns the X coordinate of the end point in double precision.

`abstract double`

`getY1()`

- Returns the Y coordinate of the start point in double precision.

`abstract double`

`getY2()`

- Returns the Y coordinate of the end point in double precision.

`boolean`

`intersects(double x, double y, double w, double h)`

- Tests if the shape intersects the interior of a specified set of rectangular coordinates.

`boolean`

`intersects(Rectangle2D r)`

- Tests if the shape intersects the interior of a specified
`Rectangle2D`

.

`abstract void`

`setCurve(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)`

- Sets the location of the endpoints and controlpoints of this curve to the specified double coordinates.

`void`

`setCurve(double[] coords, int offset)`

- Sets the location of the endpoints and controlpoints of this curve to the double coordinates at the specified offset in the specified array.

`void`

`setCurve(CubicCurve2D c)`

- Sets the location of the endpoints and controlpoints of this curve
to the same as those in the specified
`CubicCurve2D`

.

`void`

`void`

`static int`

`solveCubic(eqn[] )`

- Solves the cubic whose coefficients are in the
`eqn`

array and places the non-complex roots back into the same array, returning the number of roots.

`static int`

`solveCubic(eqn[] , res[] )`

- Solve the cubic whose coefficients are in the
`eqn`

array and place the non-complex roots into the`res`

array, returning the number of roots.

`void`

`subdivide(CubicCurve2D left, CubicCurve2D right)`

- Subdivides this cubic curve and stores the resulting two subdivided curves into the left and right curve parameters.

`static void`

`subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right)`

- Subdivides the cubic curve specified by the
`src`

parameter and stores the resulting two subdivided curves into the`left`

and`right`

curve parameters.

`static void`

`subdivide(src[] , int srcoff, left[] , int leftoff, right[] , int rightoff)`

- Subdivides the cubic curve specified by the coordinates
stored in the
`src`

array at indices`srcoff`

through (`srcoff`

+ 7) and stores the resulting two subdivided curves into the two result arrays at the corresponding indices.

### Methods inherited from class java.lang.Object

`clone`

,`equals`

,`extends Object> getClass`

,`finalize`

,`hashCode`

,`notify`

,`notifyAll`

,`toString`

,`wait`

,`wait`

,`wait`

protected CubicCurve2D()

This is an abstract class that cannot be instantiated directly. Type-specific implementation subclasses are available for instantiation and provide a number of formats for storing the information necessary to satisfy the various accessor methods below.

See Also:`CubicCurve2D.Float`

,`CubicCurve2D.Double`

public Object clone()

Creates a new object of the same class as this object.

Returns:- a clone of this instance.

Since:- 1.2

See Also:`Cloneable`

public boolean contains(double x, double y)

Tests if a specified coordinate is inside the boundary of the shape.

Parameters:

Returns:`true`

if the coordinate is inside the boundary of the shape;`false`

otherwise.

public boolean contains(double x, double y, double w, double h)

Tests if the interior of the shape entirely contains the specified set of rectangular coordinates.

Parameters:`w`

- the width of the specified rectangular shape`h`

- the height of the specified rectangular shape

Returns:`true`

if the shape entirely contains the specified set of rectangular coordinates;`false`

otherwise.

public boolean contains(Point2D p)

Tests if a specified`Point2D`

is inside the boundary of the shape.

Parameters:`p`

- the specified`Point2D`

to be tested

Returns:`true`

if the`p`

is inside the boundary of the shape;`false`

otherwise.

public boolean contains(Rectangle2D r)

Tests if the interior of the shape entirely contains the specified`Rectangle2D`

.

Parameters:`r`

- the specified`Rectangle2D`

to be tested

Returns:`true`

if the shape entirely contains the specified`Rectangle2D`

;`false`

otherwise.

public Rectangle getBounds()

Returns the bounding box of the shape.

Returns:- a
`Rectangle`

that is the bounding box of the shape.

public abstract Point2D getCtrlP1()

Returns the first control point.

Returns:- a
`Point2D`

that is the first control point of the`CubicCurve2D`

.

public abstract Point2D getCtrlP2()

Returns the second control point.

Returns:- a
`Point2D`

that is the second control point of the`CubicCurve2D`

.

public abstract double getCtrlX1()

Returns the X coordinate of the first control point in double precision.

Returns:- the X coordinate of the first control point of the
`CubicCurve2D`

.

public abstract double getCtrlX2()

Returns the X coordinate of the second control point in double precision.

Returns:- the X coordinate of the second control point of the
`CubicCurve2D`

.

public abstract double getCtrlY1()

Returns the Y coordinate of the first control point in double precision.

Returns:- the Y coordinate of the first control point of the
`CubicCurve2D`

.

public abstract double getCtrlY2()

Returns the Y coordinate of the second control point in double precision.

Returns:- the Y coordinate of the second control point of the
`CubicCurve2D`

.

public double getFlatness()

Returns the flatness of this curve. The flatness is the maximum distance of a controlpoint from the line connecting the endpoints.

Returns:- the flatness of this curve.

public static double getFlatness(coords[] , int offset)

Returns the flatness of the cubic curve specified by the controlpoints stored in the indicated array at the indicated index. The flatness is the maximum distance of a controlpoint from the line connecting the endpoints.

Parameters:`offset`

- the index of`coords`

at which to begin setting the endpoints and controlpoints of this curve to the coordinates contained in`coords`

Returns:- the flatness of the
`CubicCurve2D`

specified by the coordinates in`coords`

at the specified offset.

public static double getFlatness(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)

Returns the flatness of the cubic curve specified by the indicated controlpoints. The flatness is the maximum distance of a controlpoint from the line connecting the endpoints.

Parameters:

Returns:- the flatness of the
`CubicCurve2D`

represented by the specified coordinates.

public double getFlatnessSq()

Returns the square of the flatness of this curve. The flatness is the maximum distance of a controlpoint from the line connecting the endpoints.

Returns:- the square of the flatness of this curve.

public static double getFlatnessSq(coords[] , int offset)

Returns the square of the flatness of the cubic curve specified by the controlpoints stored in the indicated array at the indicated index. The flatness is the maximum distance of a controlpoint from the line connecting the endpoints.

Parameters:`offset`

- the index of`coords`

at which to begin setting the endpoints and controlpoints of this curve to the coordinates contained in`coords`

Returns:- the square of the flatness of the
`CubicCurve2D`

specified by the coordinates in`coords`

at the specified offset.

public static double getFlatnessSq(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)

Returns the square of the flatness of the cubic curve specified by the indicated controlpoints. The flatness is the maximum distance of a controlpoint from the line connecting the endpoints.

Parameters:

Returns:- the square of the flatness of the
`CubicCurve2D`

represented by the specified coordinates.

public abstract Point2D getP1()

Returns the start point.

Returns:- a
`Point2D`

that is the start point of the`CubicCurve2D`

.

public abstract Point2D getP2()

Returns the end point.

Returns:- a
`Point2D`

that is the end point of the`CubicCurve2D`

.

public PathIterator getPathIterator(AffineTransform at)

Returns an iteration object that defines the boundary of the shape. The iterator for this class is not multi-threaded safe, which means that this`CubicCurve2D`

class does not guarantee that modifications to the geometry of this`CubicCurve2D`

object do not affect any iterations of that geometry that are already in process.

Specified by:- getPathIterator in interface Shape

Parameters:`at`

- an optional`AffineTransform`

to be applied to the coordinates as they are returned in the iteration, or`null`

if untransformed coordinates are desired

Returns:- the
`PathIterator`

object that returns the geometry of the outline of this`CubicCurve2D`

, one segment at a time.

public PathIterator getPathIterator(AffineTransform at, double flatness)

Return an iteration object that defines the boundary of the flattened shape. The iterator for this class is not multi-threaded safe, which means that this`CubicCurve2D`

class does not guarantee that modifications to the geometry of this`CubicCurve2D`

object do not affect any iterations of that geometry that are already in process.

Specified by:- getPathIterator in interface Shape

Parameters:`at`

- an optional`AffineTransform`

to be applied to the coordinates as they are returned in the iteration, or`null`

if untransformed coordinates are desired`flatness`

- the maximum amount that the control points for a given curve can vary from colinear before a subdivided curve is replaced by a straight line connecting the endpoints

Returns:- the
`PathIterator`

object that returns the geometry of the outline of this`CubicCurve2D`

, one segment at a time.

**Usages and Demos :**

View More Examples of getPathIterator(AffineTransform at,double flatness)

1: import java.awt.event.ActionListener; 2: import java.awt.geom.CubicCurve2D;3: import java.awt.geom.Point2D; 4: ... 5: public void reset(int w, int h) { 6:CubicCurve2Dcc = newCubicCurve2D.Float( 7: w*.2f, h*.5f, w*.4f,0, w*.6f,h,w*.8f,h*.5f); 8: ... 9: PathIterator pi = cc.getPathIterator(null, 0.1); 10: Point2D tmp[] = new Point2D[200];

View Full Code Here

1: import java.awt.*; 2: import java.awt.geom.CubicCurve2D;3: import java.awt.geom.Point2D; 4: ... 5: direction = FORWARD; 6:CubicCurve2Dcc = newCubicCurve2D.Float( 7: w*.2f, h*.5f, w*.4f,0, w*.6f,h,w*.8f,h*.5f); 8: ... 9: PathIterator pi = cc.getPathIterator(null, 0.1); 10: Point2D tmp[] = new Point2D[200];

View Full Code Here

public abstract double getX1()

Returns the X coordinate of the start point in double precision.

Returns:- the X coordinate of the start point of the
`CubicCurve2D`

.

public abstract double getX2()

Returns the X coordinate of the end point in double precision.

Returns:- the X coordinate of the end point of the
`CubicCurve2D`

.

public abstract double getY1()

Returns the Y coordinate of the start point in double precision.

Returns:- the Y coordinate of the start point of the
`CubicCurve2D`

.

public abstract double getY2()

Returns the Y coordinate of the end point in double precision.

Returns:- the Y coordinate of the end point of the
`CubicCurve2D`

.

public boolean intersects(double x, double y, double w, double h)

Tests if the shape intersects the interior of a specified set of rectangular coordinates.

Specified by:- intersects in interface Shape

Parameters:`w`

- the width of the specified rectangular area`h`

- the height of the specified rectangular area

Returns:`true`

if the shape intersects the interior of the specified rectangular area;`false`

otherwise.

public boolean intersects(Rectangle2D r)

Tests if the shape intersects the interior of a specified`Rectangle2D`

.

Specified by:- intersects in interface Shape

Parameters:`r`

- the specified`Rectangle2D`

to be tested

Returns:`true`

if the shape intersects the interior of the specified`Rectangle2D`

;`false`

otherwise.

public abstract void setCurve(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)

Sets the location of the endpoints and controlpoints of this curve to the specified double coordinates.

Parameters:

public void setCurve(double[] coords, int offset)

Sets the location of the endpoints and controlpoints of this curve to the double coordinates at the specified offset in the specified array.

Parameters:`coords`

- a double array containing coordinates`offset`

- the index of`coords`

at which to begin setting the endpoints and controlpoints of this curve to the coordinates contained in`coords`

public void setCurve(CubicCurve2D c)

Sets the location of the endpoints and controlpoints of this curve to the same as those in the specified`CubicCurve2D`

.

Parameters:`c`

- the specified`CubicCurve2D`

public void setCurve(Point2D p1, Point2D cp1, Point2D cp2, Point2D p2)

Sets the location of the endpoints and controlpoints of this curve to the specified`Point2D`

coordinates.

Parameters:`p1`

- the first specified`Point2D`

used to set the start point of this curve`cp1`

- the second specified`Point2D`

used to set the first control point of this curve`cp2`

- the third specified`Point2D`

used to set the second control point of this curve`p2`

- the fourth specified`Point2D`

used to set the end point of this curve

public void setCurve(Point2D[] pts, int offset)

Sets the location of the endpoints and controlpoints of this curve to the coordinates of the`Point2D`

objects at the specified offset in the specified array.

Parameters:`pts`

- an array of`Point2D`

objects`offset`

- the index of`pts`

at which to begin setting the endpoints and controlpoints of this curve to the points contained in`pts`

public static int solveCubic(eqn[] )

Solves the cubic whose coefficients are in the`eqn`

array and places the non-complex roots back into the same array, returning the number of roots. The solved cubic is represented by the equation:eqn = {c, b, a, d} dx^3 + ax^2 + bx + c = 0A return value of -1 is used to distinguish a constant equation that might be always 0 or never 0 from an equation that has no zeroes.

Parameters:

Returns:- the number of roots, or -1 if the equation is a constant.

public static int solveCubic(eqn[] , res[] )

Solve the cubic whose coefficients are in the`eqn`

array and place the non-complex roots into the`res`

array, returning the number of roots. The cubic solved is represented by the equation: eqn = {c, b, a, d} dx^3 + ax^2 + bx + c = 0 A return value of -1 is used to distinguish a constant equation, which may be always 0 or never 0, from an equation which has no zeroes.

Parameters:

Returns:- the number of roots, or -1 if the equation is a constant

**Usages and Demos :**

View More Examples of solveCubic(eqn[] ,res[] )

public void subdivide(CubicCurve2D left, CubicCurve2D right)

Subdivides this cubic curve and stores the resulting two subdivided curves into the left and right curve parameters. Either or both of the left and right objects may be the same as this object or null.

Parameters:`left`

- the cubic curve object for storing for the left or first half of the subdivided curve`right`

- the cubic curve object for storing for the right or second half of the subdivided curve

public static void subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right)

Subdivides the cubic curve specified by the`src`

parameter and stores the resulting two subdivided curves into the`left`

and`right`

curve parameters. Either or both of the`left`

and`right`

objects may be the same as the`src`

object or`null`

.

Parameters:`src`

- the cubic curve to be subdivided`left`

- the cubic curve object for storing the left or first half of the subdivided curve`right`

- the cubic curve object for storing the right or second half of the subdivided curve

public static void subdivide(src[] , int srcoff, left[] , int leftoff, right[] , int rightoff)

Subdivides the cubic curve specified by the coordinates stored in the`src`

array at indices`srcoff`

through (`srcoff`

+ 7) and stores the resulting two subdivided curves into the two result arrays at the corresponding indices. Either or both of the`left`

and`right`

arrays may be`null`

or a reference to the same array as the`src`

array. Note that the last point in the first subdivided curve is the same as the first point in the second subdivided curve. Thus, it is possible to pass the same array for`left`

and`right`

and to use offsets, such as`rightoff`

equals (`leftoff`

+ 6), in order to avoid allocating extra storage for this common point.

Parameters:`srcoff`

- the offset into the array of the beginning of the the 6 source coordinates`leftoff`

- the offset into the array of the beginning of the the 6 left coordinates`rightoff`

- the offset into the array of the beginning of the the 6 right coordinates