 
PREV CLASS NEXT CLASS  FRAMES NO FRAMES  
SUMMARY: NESTED  FIELD  CONSTR  METHOD  DETAIL: FIELD  CONSTR  METHOD 
public abstract class CubicCurve2D extends Object implements Shape, Cloneable
The CubicCurve2D
class defines a cubic parametric curve
segment in {@code (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 
A cubic parametric curve segment specified with coordinates. 
static class 
A cubic parametric curve segment specified with coordinates. 
Constructor Summary  

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

boolean 

Rectangle 

abstract Point2D 
Returns the first control point. 
abstract Point2D 
Returns the second control point. 
abstract double 
Returns the X coordinate of the first control point in double precision. 
abstract double 
Returns the X coordinate of the second control point in double precision. 
abstract double 
Returns the Y coordinate of the first control point in double precision. 
abstract double 
Returns the Y coordinate of the second control point in double precision. 
double 
Returns the flatness of this curve. 
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 control points. 
static double 
getFlatness(double[] coords, int offset) Returns the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. 
double 
Returns the square of the flatness of this curve. 
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 control points. 
static double 
getFlatnessSq(double[] 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. 
abstract Point2D 
getP1() Returns the start point. 
abstract Point2D 
getP2() Returns the end point. 
PathIterator 
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) 
boolean 

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

abstract void 
setCurve(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2) Sets the location of the end points and control points of this curve to the specified double coordinates. 
void 
setCurve(double[] 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. 
void 
Sets the location of the end points and control points of this curve to the specified Point2D coordinates.

void 
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.

static int 
solveCubic(double[] eqn) Solves the cubic whose coefficients are in the eqn
array and places the noncomplex roots back into the same array,
returning the number of roots.

static int 
solveCubic(double[] eqn, double[] res) Solve the cubic whose coefficients are in the eqn
array and place the noncomplex 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(double[] src, int srcoff, double[] left, int leftoff, double[] 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, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
Constructor Detail 

protected CubicCurve2D()
Method Detail 

public Object clone()
clone
in class Object
public boolean contains(double x, double y)
x
y
public boolean contains(double x, double y, double w, double h)
x
y
w
h
public boolean contains(Point2D p)
p
public boolean contains(Rectangle2D r)
r
public Rectangle getBounds()
public abstract Point2D getCtrlP1()
public abstract Point2D getCtrlP2()
public abstract double getCtrlX1()
public abstract double getCtrlX2()
public abstract double getCtrlY1()
public abstract double getCtrlY2()
public double getFlatness()
public static double getFlatness(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)
x1
 the X coordinate that specifies the start point
of a {@code CubicCurve2D}y1
 the Y coordinate that specifies the start point
of a {@code CubicCurve2D}ctrlx1
 the X coordinate that specifies the first control point
of a {@code CubicCurve2D}ctrly1
 the Y coordinate that specifies the first control point
of a {@code CubicCurve2D}ctrlx2
 the X coordinate that specifies the second control point
of a {@code CubicCurve2D}ctrly2
 the Y coordinate that specifies the second control point
of a {@code CubicCurve2D}x2
 the X coordinate that specifies the end point
of a {@code CubicCurve2D}y2
 the Y coordinate that specifies the end point
of a {@code CubicCurve2D}public static double getFlatness(double[] coords, int offset)
coords
 an array containing coordinatesoffset
 the index of coords
from which to begin
getting the end points and control points of the curveCubicCurve2D
specified by the coordinates in coords
at
the specified offset.public double getFlatnessSq()
public static double getFlatnessSq(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)
x1
 the X coordinate that specifies the start point
of a {@code CubicCurve2D}y1
 the Y coordinate that specifies the start point
of a {@code CubicCurve2D}ctrlx1
 the X coordinate that specifies the first control point
of a {@code CubicCurve2D}ctrly1
 the Y coordinate that specifies the first control point
of a {@code CubicCurve2D}ctrlx2
 the X coordinate that specifies the second control point
of a {@code CubicCurve2D}ctrly2
 the Y coordinate that specifies the second control point
of a {@code CubicCurve2D}x2
 the X coordinate that specifies the end point
of a {@code CubicCurve2D}y2
 the Y coordinate that specifies the end point
of a {@code CubicCurve2D}public static double getFlatnessSq(double[] coords, int offset)
coords
 an array containing coordinatesoffset
 the index of coords
from which to begin
getting the end points and control points of the curveCubicCurve2D
specified by the coordinates in coords
at
the specified offset.public abstract Point2D getP1()
public abstract Point2D getP2()
public PathIterator getPathIterator(AffineTransform at)
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.
at
 an optional AffineTransform
to be applied to the
coordinates as they are returned in the iteration, or null
if untransformed coordinates are desiredPathIterator
object that returns the
geometry of the outline of this CubicCurve2D
, one
segment at a time.public PathIterator getPathIterator(AffineTransform at, double flatness)
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.
at
 an optional AffineTransform
to be applied to the
coordinates as they are returned in the iteration, or null
if untransformed coordinates are desiredflatness
 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 pointsPathIterator
object that returns the
geometry of the outline of this CubicCurve2D
,
one segment at a time.public abstract double getX1()
public abstract double getX2()
public abstract double getY1()
public abstract double getY2()
public boolean intersects(double x, double y, double w, double h)
x
y
w
h
public boolean intersects(Rectangle2D r)
r
public void setCurve(CubicCurve2D c)
CubicCurve2D
.
c
 the specified CubicCurve2D
public abstract void setCurve(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)
x1
 the X coordinate used to set the start point
of this {@code CubicCurve2D}y1
 the Y coordinate used to set the start point
of this {@code CubicCurve2D}ctrlx1
 the X coordinate used to set the first control point
of this {@code CubicCurve2D}ctrly1
 the Y coordinate used to set the first control point
of this {@code CubicCurve2D}ctrlx2
 the X coordinate used to set the second control point
of this {@code CubicCurve2D}ctrly2
 the Y coordinate used to set the second control point
of this {@code CubicCurve2D}x2
 the X coordinate used to set the end point
of this {@code CubicCurve2D}y2
 the Y coordinate used to set the end point
of this {@code CubicCurve2D}public void setCurve(double[] coords, int offset)
coords
 a double array containing coordinatesoffset
 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(Point2D p1, Point2D cp1, Point2D cp2, Point2D p2)
Point2D
coordinates.
p1
 the first specified Point2D
used to set the
start point of this curvecp1
 the second specified Point2D
used to set the
first control point of this curvecp2
 the third specified Point2D
used to set the
second control point of this curvep2
 the fourth specified Point2D
used to set the
end point of this curvepublic void setCurve(Point2D[] pts, int offset)
Point2D
objects at the specified
offset in the specified array.
pts
 an array of Point2D
objectsoffset
 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 static int solveCubic(double[] eqn)
eqn
array and places the noncomplex 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.
eqn
 an array containing coefficients for a cubicpublic static int solveCubic(double[] eqn, double[] res)
eqn
array and place the noncomplex 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.
eqn
 the specified array of coefficients to use to solve
the cubic equationres
 the array that contains the noncomplex roots
resulting from the solution of the cubic equationpublic void subdivide(CubicCurve2D left, CubicCurve2D right)
left
 the cubic curve object for storing for the left or
first half of the subdivided curveright
 the cubic curve object for storing for the right or
second half of the subdivided curvepublic static void subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right)
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
.
src
 the cubic curve to be subdividedleft
 the cubic curve object for storing the left or
first half of the subdivided curveright
 the cubic curve object for storing the right or
second half of the subdivided curvepublic static void subdivide(double[] src, int srcoff, double[] left, int leftoff, double[] right, int rightoff)
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.
src
 the array holding the coordinates for the source curvesrcoff
 the offset into the array of the beginning of the
the 6 source coordinatesleft
 the array for storing the coordinates for the first
half of the subdivided curveleftoff
 the offset into the array of the beginning of the
the 6 left coordinatesright
 the array for storing the coordinates for the second
half of the subdivided curverightoff
 the offset into the array of the beginning of the
the 6 right coordinates
 
PREV CLASS NEXT CLASS  FRAMES NO FRAMES  
SUMMARY: NESTED  FIELD  CONSTR  METHOD  DETAIL: FIELD  CONSTR  METHOD 