JavaFX 27 · com.sun.javafx.geom.CubicCurve2D · APIdia, the JavaDoc alternative

Modifier and Type	Field and Description
private static final int	ABOVE
private static final int	BELOW
public float	ctrlx1 The X coordinate of the first control point of the cubic curve segment.
public float	ctrlx2 The X coordinate of the second control point of the cubic curve segment.
public float	ctrly1 The Y coordinate of the first control point of the cubic curve segment.
public float	ctrly2 The Y coordinate of the second control point of the cubic curve segment.
private static final int	HIGHEDGE
private static final int	INSIDE
private static final int	LOWEDGE
public float	x1 The X coordinate of the start point of the cubic curve segment.
public float	x2 The X coordinate of the end point of the cubic curve segment.
public float	y1 The Y coordinate of the start point of the cubic curve segment.
public float	y2 The Y coordinate of the end point of the cubic curve segment.

Access	Constructor and Description
public	CubicCurve2D() Constructs and initializes a CubicCurve with coordinates (0, 0, 0, 0, 0, 0, 0, 0).
public	CubicCurve2D(float the X coordinate for the start point of the resulting `CubicCurve2D` x1, float the Y coordinate for the start point of the resulting `CubicCurve2D` y1, float the X coordinate for the first control point of the resulting `CubicCurve2D` ctrlx1, float the Y coordinate for the first control point of the resulting `CubicCurve2D` ctrly1, float the X coordinate for the second control point of the resulting `CubicCurve2D` ctrlx2, float the Y coordinate for the second control point of the resulting `CubicCurve2D` ctrly2, float the X coordinate for the end point of the resulting `CubicCurve2D` x2, float the Y coordinate for the end point of the resulting `CubicCurve2D` y2) Constructs and initializes a `CubicCurve2D` from the specified `float` coordinates.

Method Summary

Modifier and Type	Method and Description
private float	calcX(final float t)
private float	calcY(final float t)
public boolean	contains(float x, float y) Implements abstract com.sun.javafx.geom.Shape.contains. Tests if the specified coordinates are inside the boundary of the `Shape`.
public boolean	contains(Point2D p) Overrides com.sun.javafx.geom.Shape.contains. Tests if a specified `Point2D` is inside the boundary of the `Shape`.
public boolean	contains(float x, float y, float w, float h) Implements abstract com.sun.javafx.geom.Shape.contains. Tests if the interior of the `Shape` entirely contains the specified rectangular area.
public CubicCurve2D	copy() Implements abstract com.sun.javafx.geom.Shape.copy. Returns a new copy of this `Shape` instance.
public boolean	equals(Object obj) Overrides java.lang.Object.equals. Indicates whether some other object is "equal to" this one.
public Point2D	Returns: a newly allocated Point2D containing the evaluation of the curve at that parameter value eval(float parameter value at which to evaluate the curve t) Evaluates this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1.
public void	eval(float parameter value at which to evaluate the curve td, Point2D Point2D in to which to store the evaluation of the curve at that parameter value result) Evaluates this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1.
private static int	evalCubic(float[] vals, int num, boolean include0, boolean include1, float[] inflect, float c1, float cp1, float cp2, float c2)
public Point2D	Returns: a newly allocated Point2D containing the derivative of the curve at that parameter value evalDt(float parameter value at which to compute the derivative of the curve t) Evaluates the derivative of this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1.
public void	evalDt(float td, Point2D Point2D in to which to store the derivative of the curve at that parameter value result) Evaluates the derivative of this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1.
private static void	fillEqn(float[] eqn, float val, float c1, float cp1, float cp2, float c2)
private static float	findZero(float t, float target, float[] eqn)
private static void	fixRoots(float[] res, float[] eqn)
public RectBounds	getBounds() Implements abstract com.sun.javafx.geom.Shape.getBounds. Note that there is no guarantee that the returned `RectBounds` is the smallest bounding box that encloses the `Shape`, only that the `Shape` lies entirely within the indicated `RectBounds`.
public static float	Returns: the flatness of the `CubicCurve2D` represented by the specified coordinates. getFlatness(float the X coordinate that specifies the start point of a `CubicCurve2D` x1, float the Y coordinate that specifies the start point of a `CubicCurve2D` y1, float the X coordinate that specifies the first control point of a `CubicCurve2D` ctrlx1, float the Y coordinate that specifies the first control point of a `CubicCurve2D` ctrly1, float the X coordinate that specifies the second control point of a `CubicCurve2D` ctrlx2, float the Y coordinate that specifies the second control point of a `CubicCurve2D` ctrly2, float the X coordinate that specifies the end point of a `CubicCurve2D` x2, float the Y coordinate that specifies the end point of a `CubicCurve2D` y2) Returns the flatness of the cubic curve specified by the indicated control points.
public static float	Returns: the flatness of the `CubicCurve2D` specified by the coordinates in `coords` at the specified offset. getFlatness(float[] an array containing coordinates coords, int the index of `coords` from which to begin getting the end points and control points of the curve offset) Returns the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index.
public float	Returns: the flatness of this curve. getFlatness() Returns the flatness of this curve.
public static float	Returns: the square of the flatness of the `CubicCurve2D` represented by the specified coordinates. getFlatnessSq(float the X coordinate that specifies the start point of a `CubicCurve2D` x1, float the Y coordinate that specifies the start point of a `CubicCurve2D` y1, float the X coordinate that specifies the first control point of a `CubicCurve2D` ctrlx1, float the Y coordinate that specifies the first control point of a `CubicCurve2D` ctrly1, float the X coordinate that specifies the second control point of a `CubicCurve2D` ctrlx2, float the Y coordinate that specifies the second control point of a `CubicCurve2D` ctrly2, float the X coordinate that specifies the end point of a `CubicCurve2D` x2, float the Y coordinate that specifies the end point of a `CubicCurve2D` y2) Returns the square of the flatness of the cubic curve specified by the indicated control points.
public static float	Returns: the square of the flatness of the `CubicCurve2D` specified by the coordinates in `coords` at the specified offset. getFlatnessSq(float[] an array containing coordinates coords, int the index of `coords` from which to begin getting the end points and control points of the curve offset) Returns the square of the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index.
public float	Returns: the square of the flatness of this curve. getFlatnessSq() Returns the square of the flatness of this curve.
public PathIterator	Returns: the `PathIterator` object that returns the geometry of the outline of this `CubicCurve2D`, one segment at a time. getPathIterator(BaseTransform an optional `BaseTransform` to be applied to the coordinates as they are returned in the iteration, or `null` if untransformed coordinates are desired tx) Implements abstract com.sun.javafx.geom.Shape.getPathIterator. Returns an iteration object that defines the boundary of the shape.
public PathIterator	Returns: the `PathIterator` object that returns the geometry of the outline of this `CubicCurve2D`, one segment at a time. getPathIterator(BaseTransform an optional `BaseTransform` to be applied to the coordinates as they are returned in the iteration, or `null` if untransformed coordinates are desired tx, float 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 end points flatness) Implements abstract com.sun.javafx.geom.Shape.getPathIterator. Return an iteration object that defines the boundary of the flattened shape.
private static int	getTag(float coord, float low, float high)
public int	hashCode() Overrides java.lang.Object.hashCode. Returns a hash code value for this object.
public boolean	intersects(float x, float y, float w, float h) Implements abstract com.sun.javafx.geom.Shape.intersects. Tests if the interior of the `Shape` intersects the interior of a specified rectangular area.
private static boolean	inwards(int pttag, int opt1tag, int opt2tag)
public void	setCurve(float the X coordinate used to set the start point of this `CubicCurve2D` x1, float the Y coordinate used to set the start point of this `CubicCurve2D` y1, float the X coordinate used to set the first control point of this `CubicCurve2D` ctrlx1, float the Y coordinate used to set the first control point of this `CubicCurve2D` ctrly1, float the X coordinate used to set the second control point of this `CubicCurve2D` ctrlx2, float the Y coordinate used to set the second control point of this `CubicCurve2D` ctrly2, float the X coordinate used to set the end point of this `CubicCurve2D` x2, float the Y coordinate used to set the end point of this `CubicCurve2D` y2) Sets the location of the end points and control points of this curve to the specified `float` coordinates.
public void	setCurve(float[] a double array containing coordinates coords, int the index of `coords` from which to begin setting the end points and control points of this curve to the coordinates contained in `coords` offset) Sets the location of the end points and control points of this curve to the double coordinates at the specified offset in the specified array.
public void	setCurve(Point2D the first specified `Point2D` used to set the start point of this curve p1, Point2D the second specified `Point2D` used to set the first control point of this curve cp1, Point2D the third specified `Point2D` used to set the second control point of this curve cp2, Point2D the fourth specified `Point2D` used to set the end point of this curve p2) Sets the location of the end points and control points of this curve to the specified `Point2D` coordinates.
public void	setCurve(Point2D[] an array of `Point2D` objects pts, int the index of `pts` from which to begin setting the end points and control points of this curve to the points contained in `pts` offset) Sets the location of the end points and control points of this curve to the coordinates of the `Point2D` objects at the specified offset in the specified array.
public void	setCurve(CubicCurve2D the specified `CubicCurve2D` c) Sets the location of the end points and control points of this curve to the same as those in the specified `CubicCurve2D`.
public static int	Returns: the number of roots, or -1 if the equation is a constant. solveCubic(float[] an array containing coefficients for a cubic 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.
public static int	Returns: the number of roots, or -1 if the equation is a constant solveCubic(float[] the specified array of coefficients to use to solve the cubic equation eqn, float[] the array that contains the non-complex roots resulting from the solution of the cubic equation 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.
private static float	solveEqn(float[] eqn, int order, float t)
public void	subdivide(float the parameter value at which to subdivide the curve t, CubicCurve2D the cubic curve object for storing for the left or first portion of the subdivided curve left, CubicCurve2D the cubic curve object for storing for the right or second portion of the subdivided curve right) Subdivides this cubic curve at the given parameter value (expected to be between 0 and 1) and stores the resulting two subdivided curves into the left and right curve parameters.
public void	subdivide(CubicCurve2D the cubic curve object for storing for the left or first half of the subdivided curve left, CubicCurve2D the cubic curve object for storing for the right or second half of the subdivided curve right) Subdivides this cubic curve and stores the resulting two subdivided curves into the left and right curve parameters.
public static void	subdivide(CubicCurve2D the cubic curve to be subdivided src, CubicCurve2D the cubic curve object for storing the left or first half of the subdivided curve left, CubicCurve2D the cubic curve object for storing the right or second half of the subdivided curve right) Subdivides the cubic curve specified by the `src` parameter and stores the resulting two subdivided curves into the `left` and `right` curve parameters.
public static void	subdivide(float[] the array holding the coordinates for the source curve src, int the offset into the array of the beginning of the the 6 source coordinates srcoff, float[] the array for storing the coordinates for the first half of the subdivided curve left, int the offset into the array of the beginning of the the 6 left coordinates leftoff, float[] the array for storing the coordinates for the second half of the subdivided curve right, int the offset into the array of the beginning of the the 6 right coordinates 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.

Inherited from com.sun.javafx.geom.Shape:: accumulate accumulateCubic accumulateCubic accumulateQuad contains intersects intersectsLine outcode pointCrossingsForCubic pointCrossingsForLine pointCrossingsForPath pointCrossingsForQuad rectCrossingsForCubic rectCrossingsForLine rectCrossingsForPath rectCrossingsForQuad

ABOVE	back to summary
private static final int ABOVE

BELOW	back to summary
private static final int BELOW

ctrlx1	back to summary
public float ctrlx1 The X coordinate of the first control point of the cubic curve segment.

ctrlx2	back to summary
public float ctrlx2 The X coordinate of the second control point of the cubic curve segment.

ctrly1	back to summary
public float ctrly1 The Y coordinate of the first control point of the cubic curve segment.

ctrly2	back to summary
public float ctrly2 The Y coordinate of the second control point of the cubic curve segment.

HIGHEDGE	back to summary
private static final int HIGHEDGE

INSIDE	back to summary
private static final int INSIDE

LOWEDGE	back to summary
private static final int LOWEDGE

x1	back to summary
public float x1 The X coordinate of the start point of the cubic curve segment.

x2	back to summary
public float x2 The X coordinate of the end point of the cubic curve segment.

y1	back to summary
public float y1 The Y coordinate of the start point of the cubic curve segment.

y2	back to summary
public float y2 The Y coordinate of the end point of the cubic curve segment.

CubicCurve2D	back to summary
public CubicCurve2D() Constructs and initializes a CubicCurve with coordinates (0, 0, 0, 0, 0, 0, 0, 0).

CubicCurve2D	back to summary
public CubicCurve2D(float x1, float y1, float ctrlx1, float ctrly1, float ctrlx2, float ctrly2, float x2, float y2) Constructs and initializes a `CubicCurve2D` from the specified `float` coordinates. Parameters x1:float the X coordinate for the start point of the resulting `CubicCurve2D` y1:float the Y coordinate for the start point of the resulting `CubicCurve2D` ctrlx1:float the X coordinate for the first control point of the resulting `CubicCurve2D` ctrly1:float the Y coordinate for the first control point of the resulting `CubicCurve2D` ctrlx2:float the X coordinate for the second control point of the resulting `CubicCurve2D` ctrly2:float the Y coordinate for the second control point of the resulting `CubicCurve2D` x2:float the X coordinate for the end point of the resulting `CubicCurve2D` y2:float the Y coordinate for the end point of the resulting `CubicCurve2D`

Method Detail

calcX	back to summary
private float calcX(final float t)

calcY	back to summary
private float calcY(final float t)

contains back to summary

contains	back to summary
public boolean contains(float x, float y) Implements abstract com.sun.javafx.geom.Shape.contains. Doc from com.sun.javafx.geom.Shape.contains. Tests if the specified coordinates are inside the boundary of the `Shape`. Annotations @Override

public boolean contains(float x, float y)

Implements abstract com.sun.javafx.geom.Shape.contains.

Doc from com.sun.javafx.geom.Shape.contains.

Tests if the specified coordinates are inside the boundary of the Shape.

Annotations

@Override

contains back to summary

contains	back to summary
public boolean contains(Point2D p) Overrides com.sun.javafx.geom.Shape.contains. Doc from com.sun.javafx.geom.Shape.contains. Tests if a specified `Point2D` is inside the boundary of the `Shape`. Annotations @Override

public boolean contains(Point2D p)

Overrides com.sun.javafx.geom.Shape.contains.

Doc from com.sun.javafx.geom.Shape.contains.

Tests if a specified Point2D is inside the boundary of the Shape.

Annotations

@Override

contains back to summary

contains	back to summary
public boolean contains(float x, float y, float w, float h) Implements abstract com.sun.javafx.geom.Shape.contains. Doc from com.sun.javafx.geom.Shape.contains. Tests if the interior of the `Shape` entirely contains the specified rectangular area. All coordinates that lie inside the rectangular area must lie within the `Shape` for the entire rectanglar area to be considered contained within the `Shape`. The `Shape.contains()` method allows a `Shape` implementation to conservatively return `false` when: the `intersect` method returns `true` and the calculations to determine whether or not the `Shape` entirely contains the rectangular area are prohibitively expensive. This means that for some `Shapes` this method might return `false` even though the `Shape` contains the rectangular area. The `Area` class performs more accurate geometric computations than most `Shape` objects and therefore can be used if a more precise answer is required. Annotations @Override

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

Implements abstract com.sun.javafx.geom.Shape.contains.

Doc from com.sun.javafx.geom.Shape.contains.

Tests if the interior of the Shape entirely contains the specified rectangular area. All coordinates that lie inside the rectangular area must lie within the Shape for the entire rectanglar area to be considered contained within the Shape.

The Shape.contains() method allows a Shape implementation to conservatively return false when:

the intersect method returns true and
the calculations to determine whether or not the Shape entirely contains the rectangular area are prohibitively expensive.

This means that for some Shapes this method might return false even though the Shape contains the rectangular area. The Area class performs more accurate geometric computations than most Shape objects and therefore can be used if a more precise answer is required.

Annotations

@Override

copy back to summary

copy	back to summary
public CubicCurve2D copy() Implements abstract com.sun.javafx.geom.Shape.copy. Doc from com.sun.javafx.geom.Shape.copy. Returns a new copy of this `Shape` instance. Annotations @Override

public CubicCurve2D copy()

Implements abstract com.sun.javafx.geom.Shape.copy.

Doc from com.sun.javafx.geom.Shape.copy.

Returns a new copy of this Shape instance.

Annotations

@Override

equals back to summary

equals	back to summary
public boolean equals(Object obj) Overrides java.lang.Object.equals. Doc from java.lang.Object.equals. Indicates whether some other object is "equal to" this one. The `equals` method implements an equivalence relation on non-null object references: It is reflexive: for any non-null reference value `x`, `x.equals(x)` should return `true`. It is symmetric: for any non-null reference values `x` and `y`, `x.equals(y)` should return `true` if and only if `y.equals(x)` returns `true`. It is transitive: for any non-null reference values `x`, `y`, and `z`, if `x.equals(y)` returns `true` and `y.equals(z)` returns `true`, then `x.equals(z)` should return `true`. It is consistent: for any non-null reference values `x` and `y`, multiple invocations of `x.equals(y)` consistently return `true` or consistently return `false`, provided no information used in `equals` comparisons on the objects is modified. For any non-null reference value `x`, `x.equals(null)` should return `false`. An equivalence relation partitions the elements it operates on into equivalence classes; all the members of an equivalence class are equal to each other. Members of an equivalence class are substitutable for each other, at least for some purposes. Annotations @Override

public boolean equals(Object obj)

Overrides java.lang.Object.equals.

Doc from java.lang.Object.equals.

Indicates whether some other object is "equal to" this one.

The equals method implements an equivalence relation on non-null object references:

It is reflexive: for any non-null reference value x, x.equals(x) should return true.
It is symmetric: for any non-null reference values x and y, x.equals(y) should return true if and only if y.equals(x) returns true.
It is transitive: for any non-null reference values x, y, and z, if x.equals(y) returns true and y.equals(z) returns true, then x.equals(z) should return true.
It is consistent: for any non-null reference values x and y, multiple invocations of x.equals(y) consistently return true or consistently return false, provided no information used in equals comparisons on the objects is modified.
For any non-null reference value x, x.equals(null) should return false.

An equivalence relation partitions the elements it operates on into equivalence classes; all the members of an equivalence class are equal to each other. Members of an equivalence class are substitutable for each other, at least for some purposes.

Annotations

@Override

eval	back to summary
public Point2D eval(float t) Evaluates this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1. 0 corresponds to the start point of the curve and 1 corresponds to the end point of the curve. Parameters t:float parameter value at which to evaluate the curve Returns:Point2D a newly allocated Point2D containing the evaluation of the curve at that parameter value

eval

back to summary

public Point2D eval(float t)

Evaluates this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1. 0 corresponds to the start point of the curve and 1 corresponds to the end point of the curve.

Parameters

t:float: parameter value at which to evaluate the curve

Returns:Point2D

a newly allocated Point2D containing the evaluation of the curve at that parameter value

eval	back to summary
public void eval(float td, Point2D result) Evaluates this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1. 0 corresponds to the start point of the curve and 1 corresponds to the end point of the curve. Parameters td:float parameter value at which to evaluate the curve result:Point2D Point2D in to which to store the evaluation of the curve at that parameter value

eval

back to summary

public void eval(float td, Point2D result)

Parameters

td:float: parameter value at which to evaluate the curve
result:Point2D: Point2D in to which to store the evaluation of the curve at that parameter value

evalCubic	back to summary
private static int evalCubic(float[] vals, int num, boolean include0, boolean include1, float[] inflect, float c1, float cp1, float cp2, float c2)

evalDt	back to summary
public Point2D evalDt(float t) Evaluates the derivative of this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1. 0 corresponds to the derivative at the start point of the curve and 1 corresponds to the derivative at the end point of the curve. Parameters t:float parameter value at which to compute the derivative of the curve Returns:Point2D a newly allocated Point2D containing the derivative of the curve at that parameter value

evalDt

back to summary

public Point2D evalDt(float t)

Evaluates the derivative of this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1. 0 corresponds to the derivative at the start point of the curve and 1 corresponds to the derivative at the end point of the curve.

Parameters

t:float: parameter value at which to compute the derivative of the curve

Returns:Point2D

a newly allocated Point2D containing the derivative of the curve at that parameter value

evalDt	back to summary
public void evalDt(float td, Point2D result) Evaluates the derivative of this cubic curve at the given parameter value, where it is expected, but not required, that the parameter will be between 0 and 1. 0 corresponds to the derivative at the start point of the curve and 1 corresponds to the derivative at the end point of the curve. Parameters result:Point2D Point2D in to which to store the derivative of the curve at that parameter value

evalDt

back to summary

public void evalDt(float td, Point2D result)

Parameters

result:Point2D: Point2D in to which to store the derivative of the curve at that parameter value

fillEqn	back to summary
private static void fillEqn(float[] eqn, float val, float c1, float cp1, float cp2, float c2)

findZero	back to summary
private static float findZero(float t, float target, float[] eqn)

fixRoots	back to summary
private static void fixRoots(float[] res, float[] eqn)

getBounds back to summary

getBounds	back to summary
public RectBounds getBounds() Implements abstract com.sun.javafx.geom.Shape.getBounds. Doc from com.sun.javafx.geom.Shape.getBounds. Note that there is no guarantee that the returned `RectBounds` is the smallest bounding box that encloses the `Shape`, only that the `Shape` lies entirely within the indicated `RectBounds`. Annotations @Override

public RectBounds getBounds()

Implements abstract com.sun.javafx.geom.Shape.getBounds.

Doc from com.sun.javafx.geom.Shape.getBounds.

Note that there is no guarantee that the returned RectBounds is the smallest bounding box that encloses the Shape, only that the Shape lies entirely within the indicated RectBounds.

Annotations

@Override

getFlatness back to summary

getFlatness	back to summary
public static float getFlatness(float x1, float y1, float ctrlx1, float ctrly1, float ctrlx2, float ctrly2, float x2, float y2) Returns the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points. Parameters x1:float the X coordinate that specifies the start point of a `CubicCurve2D` y1:float the Y coordinate that specifies the start point of a `CubicCurve2D` ctrlx1:float the X coordinate that specifies the first control point of a `CubicCurve2D` ctrly1:float the Y coordinate that specifies the first control point of a `CubicCurve2D` ctrlx2:float the X coordinate that specifies the second control point of a `CubicCurve2D` ctrly2:float the Y coordinate that specifies the second control point of a `CubicCurve2D` x2:float the X coordinate that specifies the end point of a `CubicCurve2D` y2:float the Y coordinate that specifies the end point of a `CubicCurve2D` Returns:float the flatness of the `CubicCurve2D` represented by the specified coordinates.

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

Returns the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points.

Parameters

x1:float: the X coordinate that specifies the start point of a CubicCurve2D
y1:float: the Y coordinate that specifies the start point of a CubicCurve2D
ctrlx1:float: the X coordinate that specifies the first control point of a CubicCurve2D
ctrly1:float: the Y coordinate that specifies the first control point of a CubicCurve2D
ctrlx2:float: the X coordinate that specifies the second control point of a CubicCurve2D
ctrly2:float: the Y coordinate that specifies the second control point of a CubicCurve2D
x2:float: the X coordinate that specifies the end point of a CubicCurve2D
y2:float: the Y coordinate that specifies the end point of a CubicCurve2D

Returns:float

the flatness of the CubicCurve2D represented by the specified coordinates.

getFlatness back to summary

getFlatness	back to summary
public static float getFlatness(float[] coords, int offset) Returns the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points. Parameters coords:float[] an array containing coordinates offset:int the index of `coords` from which to begin getting the end points and control points of the curve Returns:float the flatness of the `CubicCurve2D` specified by the coordinates in `coords` at the specified offset.

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

Returns the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points.

Parameters

coords:float[]: an array containing coordinates
offset:int: the index of coords from which to begin getting the end points and control points of the curve

Returns:float

the flatness of the CubicCurve2D specified by the coordinates in coords at the specified offset.

getFlatness	back to summary
public float getFlatness() Returns the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points. Returns:float the flatness of this curve.

getFlatness

back to summary

public float getFlatness()

Returns the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points.

Returns:float: the flatness of this curve.

getFlatnessSq back to summary

getFlatnessSq	back to summary
public static float getFlatnessSq(float x1, float y1, float ctrlx1, float ctrly1, float ctrlx2, float ctrly2, float x2, float y2) Returns the square of the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points. Parameters x1:float the X coordinate that specifies the start point of a `CubicCurve2D` y1:float the Y coordinate that specifies the start point of a `CubicCurve2D` ctrlx1:float the X coordinate that specifies the first control point of a `CubicCurve2D` ctrly1:float the Y coordinate that specifies the first control point of a `CubicCurve2D` ctrlx2:float the X coordinate that specifies the second control point of a `CubicCurve2D` ctrly2:float the Y coordinate that specifies the second control point of a `CubicCurve2D` x2:float the X coordinate that specifies the end point of a `CubicCurve2D` y2:float the Y coordinate that specifies the end point of a `CubicCurve2D` Returns:float the square of the flatness of the `CubicCurve2D` represented by the specified coordinates.

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

Returns the square of the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points.

Parameters

x1:float: the X coordinate that specifies the start point of a CubicCurve2D
y1:float: the Y coordinate that specifies the start point of a CubicCurve2D
ctrlx1:float: the X coordinate that specifies the first control point of a CubicCurve2D
ctrly1:float: the Y coordinate that specifies the first control point of a CubicCurve2D
ctrlx2:float: the X coordinate that specifies the second control point of a CubicCurve2D
ctrly2:float: the Y coordinate that specifies the second control point of a CubicCurve2D
x2:float: the X coordinate that specifies the end point of a CubicCurve2D
y2:float: the Y coordinate that specifies the end point of a CubicCurve2D

Returns:float

the square of the flatness of the CubicCurve2D represented by the specified coordinates.

getFlatnessSq back to summary

getFlatnessSq	back to summary
public static float getFlatnessSq(float[] coords, int offset) Returns the square of the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points. Parameters coords:float[] an array containing coordinates offset:int the index of `coords` from which to begin getting the end points and control points of the curve Returns:float the square of the flatness of the `CubicCurve2D` specified by the coordinates in `coords` at the specified offset.

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

Returns the square of the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points.

Parameters

coords:float[]: an array containing coordinates
offset:int: the index of coords from which to begin getting the end points and control points of the curve

Returns:float

the square of the flatness of the CubicCurve2D specified by the coordinates in coords at the specified offset.

getFlatnessSq	back to summary
public float getFlatnessSq() Returns the square of the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points. Returns:float the square of the flatness of this curve.

getFlatnessSq

back to summary

public float getFlatnessSq()

Returns the square of the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points.

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

getPathIterator back to summary

getPathIterator	back to summary
public PathIterator getPathIterator(BaseTransform tx) Implements abstract com.sun.javafx.geom.Shape.getPathIterator. 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. Parameters tx:BaseTransform an optional `BaseTransform` to be applied to the coordinates as they are returned in the iteration, or `null` if untransformed coordinates are desired Returns:PathIterator the `PathIterator` object that returns the geometry of the outline of this `CubicCurve2D`, one segment at a time. Annotations @Override

public PathIterator getPathIterator(BaseTransform tx)

Implements abstract com.sun.javafx.geom.Shape.getPathIterator.

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.

Parameters

tx:BaseTransform: an optional BaseTransform to be applied to the coordinates as they are returned in the iteration, or null if untransformed coordinates are desired

Returns:PathIterator

the PathIterator object that returns the geometry of the outline of this CubicCurve2D, one segment at a time.

Annotations

@Override

getPathIterator back to summary

getPathIterator	back to summary
public PathIterator getPathIterator(BaseTransform tx, float flatness) Implements abstract com.sun.javafx.geom.Shape.getPathIterator. 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. Parameters tx:BaseTransform an optional `BaseTransform` to be applied to the coordinates as they are returned in the iteration, or `null` if untransformed coordinates are desired flatness:float 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 end points Returns:PathIterator the `PathIterator` object that returns the geometry of the outline of this `CubicCurve2D`, one segment at a time. Annotations @Override

public PathIterator getPathIterator(BaseTransform tx, float flatness)

Implements abstract com.sun.javafx.geom.Shape.getPathIterator.

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.

Parameters

tx:BaseTransform: an optional BaseTransform to be applied to the coordinates as they are returned in the iteration, or null if untransformed coordinates are desired
flatness:float: 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 end points

Returns:PathIterator

the PathIterator object that returns the geometry of the outline of this CubicCurve2D, one segment at a time.

Annotations

@Override

getTag	back to summary
private static int getTag(float coord, float low, float high)

hashCode back to summary

hashCode	back to summary
public int hashCode() Overrides java.lang.Object.hashCode. Doc from java.lang.Object.hashCode. Returns a hash code value for this object. This method is supported for the benefit of hash tables such as those provided by `java.util.HashMap`. The general contract of `hashCode` is: Whenever it is invoked on the same object more than once during an execution of a Java application, the `hashCode` method must consistently return the same integer, provided no information used in `equals` comparisons on the object is modified. This integer need not remain consistent from one execution of an application to another execution of the same application. If two objects are equal according to the `equals` method, then calling the `hashCode` method on each of the two objects must produce the same integer result. It is not required that if two objects are unequal according to the `equals` method, then calling the `hashCode` method on each of the two objects must produce distinct integer results. However, the programmer should be aware that producing distinct integer results for unequal objects may improve the performance of hash tables. Annotations @Override

public int hashCode()

Overrides java.lang.Object.hashCode.

Doc from java.lang.Object.hashCode.

Returns a hash code value for this object. This method is supported for the benefit of hash tables such as those provided by java.util.HashMap.

The general contract of hashCode is:

Whenever it is invoked on the same object more than once during an execution of a Java application, the hashCode method must consistently return the same integer, provided no information used in equals comparisons on the object is modified. This integer need not remain consistent from one execution of an application to another execution of the same application.
If two objects are equal according to the equals method, then calling the hashCode method on each of the two objects must produce the same integer result.
It is not required that if two objects are unequal according to the equals method, then calling the hashCode method on each of the two objects must produce distinct integer results. However, the programmer should be aware that producing distinct integer results for unequal objects may improve the performance of hash tables.

Annotations

@Override

intersects back to summary

intersects	back to summary
public boolean intersects(float x, float y, float w, float h) Implements abstract com.sun.javafx.geom.Shape.intersects. Doc from com.sun.javafx.geom.Shape.intersects. Tests if the interior of the `Shape` intersects the interior of a specified rectangular area. The rectangular area is considered to intersect the `Shape` if any point is contained in both the interior of the `Shape` and the specified rectangular area. The `Shape.intersects()` method allows a `Shape` implementation to conservatively return `true` when: there is a high probability that the rectangular area and the `Shape` intersect, but the calculations to accurately determine this intersection are prohibitively expensive. This means that for some `Shapes` this method might return `true` even though the rectangular area does not intersect the `Shape`. The `Area` class performs more accurate computations of geometric intersection than most `Shape` objects and therefore can be used if a more precise answer is required. Annotations @Override

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

Implements abstract com.sun.javafx.geom.Shape.intersects.

Doc from com.sun.javafx.geom.Shape.intersects.

Tests if the interior of the Shape intersects the interior of a specified rectangular area. The rectangular area is considered to intersect the Shape if any point is contained in both the interior of the Shape and the specified rectangular area.

The Shape.intersects() method allows a Shape implementation to conservatively return true when:

there is a high probability that the rectangular area and the Shape intersect, but
the calculations to accurately determine this intersection are prohibitively expensive.

This means that for some Shapes this method might return true even though the rectangular area does not intersect the Shape. The Area class performs more accurate computations of geometric intersection than most Shape objects and therefore can be used if a more precise answer is required.

Annotations

@Override

inwards	back to summary
private static boolean inwards(int pttag, int opt1tag, int opt2tag)

setCurve back to summary

setCurve	back to summary
public void setCurve(float x1, float y1, float ctrlx1, float ctrly1, float ctrlx2, float ctrly2, float x2, float y2) Sets the location of the end points and control points of this curve to the specified `float` coordinates. Parameters x1:float the X coordinate used to set the start point of this `CubicCurve2D` y1:float the Y coordinate used to set the start point of this `CubicCurve2D` ctrlx1:float the X coordinate used to set the first control point of this `CubicCurve2D` ctrly1:float the Y coordinate used to set the first control point of this `CubicCurve2D` ctrlx2:float the X coordinate used to set the second control point of this `CubicCurve2D` ctrly2:float the Y coordinate used to set the second control point of this `CubicCurve2D` x2:float the X coordinate used to set the end point of this `CubicCurve2D` y2:float the Y coordinate used to set the end point of this `CubicCurve2D`

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

Sets the location of the end points and control points of this curve to the specified float coordinates.

Parameters

x1:float: the X coordinate used to set the start point of this CubicCurve2D
y1:float: the Y coordinate used to set the start point of this CubicCurve2D
ctrlx1:float: the X coordinate used to set the first control point of this CubicCurve2D
ctrly1:float: the Y coordinate used to set the first control point of this CubicCurve2D
ctrlx2:float: the X coordinate used to set the second control point of this CubicCurve2D
ctrly2:float: the Y coordinate used to set the second control point of this CubicCurve2D
x2:float: the X coordinate used to set the end point of this CubicCurve2D
y2:float: the Y coordinate used to set the end point of this CubicCurve2D

setCurve back to summary

setCurve	back to summary
public void setCurve(float[] coords, int offset) Sets the location of the end points and control points of this curve to the double coordinates at the specified offset in the specified array. Parameters coords:float[] a double array containing coordinates offset:int the index of `coords` from which to begin setting the end points and control points of this curve to the coordinates contained in `coords`

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

Sets the location of the end points and control points of this curve to the double coordinates at the specified offset in the specified array.

Parameters

coords:float[]: a double array containing coordinates
offset:int: the index of coords from which to begin setting the end points and control points of this curve to the coordinates contained in coords

setCurve back to summary

setCurve	back to summary
public void setCurve(Point2D p1, Point2D cp1, Point2D cp2, Point2D p2) Sets the location of the end points and control points of this curve to the specified `Point2D` coordinates. Parameters p1:Point2D the first specified `Point2D` used to set the start point of this curve cp1:Point2D the second specified `Point2D` used to set the first control point of this curve cp2:Point2D the third specified `Point2D` used to set the second control point of this curve p2:Point2D the fourth specified `Point2D` used to set the end point of this curve

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

Sets the location of the end points and control points of this curve to the specified Point2D coordinates.

Parameters

p1:Point2D: the first specified Point2D used to set the start point of this curve
cp1:Point2D: the second specified Point2D used to set the first control point of this curve
cp2:Point2D: the third specified Point2D used to set the second control point of this curve
p2:Point2D: the fourth specified Point2D used to set the end point of this curve

setCurve back to summary

setCurve	back to summary
public void setCurve(Point2D[] pts, int offset) Sets the location of the end points and control points of this curve to the coordinates of the `Point2D` objects at the specified offset in the specified array. Parameters pts:Point2D[] an array of `Point2D` objects offset:int the index of `pts` from which to begin setting the end points and control points of this curve to the points contained in `pts`

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

Sets the location of the end points and control points of this curve to the coordinates of the Point2D objects at the specified offset in the specified array.

Parameters

pts:Point2D[]: an array of Point2D objects
offset:int: the index of pts from which to begin setting the end points and control points of this curve to the points contained in pts

setCurve back to summary

public void setCurve(CubicCurve2D c)

Sets the location of the end points and control points of this curve to the same as those in the specified CubicCurve2D.

Parameters

c:CubicCurve2D: the specified CubicCurve2D

solveCubic back to summary

public static int solveCubic(float[] 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 = 0

A 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

eqn:float[]: an array containing coefficients for a cubic

Returns:int

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

solveCubic back to summary

public static int solveCubic(float[] eqn, float[] 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

eqn:float[]: the specified array of coefficients to use to solve the cubic equation
res:float[]: the array that contains the non-complex roots resulting from the solution of the cubic equation

Returns:int

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

solveEqn	back to summary
private static float solveEqn(float[] eqn, int order, float t)

subdivide

back to summary

public void subdivide(float t, CubicCurve2D left, CubicCurve2D right)

Subdivides this cubic curve at the given parameter value (expected to be between 0 and 1) 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

t:float: the parameter value at which to subdivide the curve
left:CubicCurve2D: the cubic curve object for storing for the left or first portion of the subdivided curve
right:CubicCurve2D: the cubic curve object for storing for the right or second portion of the subdivided curve

subdivide

back to summary

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:CubicCurve2D: the cubic curve object for storing for the left or first half of the subdivided curve
right:CubicCurve2D: the cubic curve object for storing for the right or second half of the subdivided curve

subdivide back to summary

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:CubicCurve2D: the cubic curve to be subdivided
left:CubicCurve2D: the cubic curve object for storing the left or first half of the subdivided curve
right:CubicCurve2D: the cubic curve object for storing the right or second half of the subdivided curve

subdivide back to summary

public static void subdivide(float[] src, int srcoff, float[] left, int leftoff, float[] 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

src:float[]: the array holding the coordinates for the source curve
srcoff:int: the offset into the array of the beginning of the the 6 source coordinates
left:float[]: the array for storing the coordinates for the first half of the subdivided curve
leftoff:int: the offset into the array of the beginning of the the 6 left coordinates
right:float[]: the array for storing the coordinates for the second half of the subdivided curve
rightoff:int: the offset into the array of the beginning of the the 6 right coordinates

public Class CubicCurve2D

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