| java.lang.Object
 java.awt.geom.CubicCurve2D
| CubicCurve2D | | abstract public class CubicCurve2D implements Shape,Cloneable(Code) | | 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.
version:
1.42, 05/05/07
author:
Jim Graham
since:
1.2 |
| Constructor Summary | |
| protected | CubicCurve2D()
This is an abstract class that cannot be instantiated directly. |
| Method Summary | |
| public Object | clone()
Creates a new object of the same class as this object. | | public boolean | contains(double x, double y)
| | public boolean | contains(Point2D p)
| | public boolean | contains(double x, double y, double w, double h)
| | public boolean | contains(Rectangle2D r)
| | public Rectangle | getBounds()
| | abstract public Point2D | getCtrlP1()
Returns the first control point. | | abstract public Point2D | getCtrlP2()
Returns the second control point. | | abstract public double | getCtrlX1()
Returns the X coordinate of the first control point in double precision. | | abstract public double | getCtrlX2()
Returns the X coordinate of the second control point
in double precision. | | abstract public double | getCtrlY1()
Returns the Y coordinate of the first control point in double precision. | | abstract public double | getCtrlY2()
Returns the Y coordinate of the second control point
in double precision. | | 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 control points. | | public 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. | | public double | getFlatness()
Returns the flatness of this curve. | | 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 control points. | | public 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. | | public double | getFlatnessSq()
Returns the square of the flatness of this curve. | | abstract public Point2D | getP1()
Returns the start point. | | abstract public Point2D | getP2()
Returns the end point. | | public PathIterator | getPathIterator(AffineTransform at)
Returns an iteration object that defines the boundary of the
shape. | | public PathIterator | getPathIterator(AffineTransform at, double flatness)
Return an iteration object that defines the boundary of the
flattened shape. | | abstract public double | getX1()
Returns the X coordinate of the start point in double precision. | | abstract public double | getX2()
Returns the X coordinate of the end point in double precision. | | abstract public double | getY1()
Returns the Y coordinate of the start point in double precision. | | abstract public double | getY2()
Returns the Y coordinate of the end point in double precision. | | public boolean | intersects(double x, double y, double w, double h)
| | public boolean | intersects(Rectangle2D r)
| | abstract public 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. | | public 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. | | 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. | | 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. | | 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. | | public static int | solveCubic(double 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 | solveCubic(double eqn, double 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. | | 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. | | 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. | | public 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.
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. |
| CubicCurve2D | | protected CubicCurve2D()(Code) | | 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: java.awt.geom.CubicCurve2D.Float
See Also: java.awt.geom.CubicCurve2D.Double
since:
1.2 |
| contains | | public boolean contains(double x, double y)(Code) | |
since:
1.2 |
| contains | | public boolean contains(double x, double y, double w, double h)(Code) | |
since:
1.2 |
| getCtrlP1 | | abstract public Point2D getCtrlP1()(Code) | | Returns the first control point.
a Point2D that is the first control point of the CubicCurve2D .
since:
1.2 |
| getCtrlP2 | | abstract public Point2D getCtrlP2()(Code) | | Returns the second control point.
a Point2D that is the second control point of the CubicCurve2D .
since:
1.2 |
| getCtrlX1 | | abstract public double getCtrlX1()(Code) | | Returns the X coordinate of the first control point in double precision.
the X coordinate of the first control point of the CubicCurve2D .
since:
1.2 |
| getCtrlX2 | | abstract public double getCtrlX2()(Code) | | Returns the X coordinate of the second control point
in double precision.
the X coordinate of the second control point of the CubicCurve2D .
since:
1.2 |
| getCtrlY1 | | abstract public double getCtrlY1()(Code) | | Returns the Y coordinate of the first control point in double precision.
the Y coordinate of the first control point of the CubicCurve2D .
since:
1.2 |
| getCtrlY2 | | abstract public double getCtrlY2()(Code) | | Returns the Y coordinate of the second control point
in double precision.
the Y coordinate of the second control point of the CubicCurve2D .
since:
1.2 |
| getFlatness | | public static double getFlatness(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)(Code) | | 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 - the X coordinate that specifies the start pointof a CubicCurve2D
Parameters:
y1 - the Y coordinate that specifies the start pointof a CubicCurve2D
Parameters:
ctrlx1 - the X coordinate that specifies the first control pointof a CubicCurve2D
Parameters:
ctrly1 - the Y coordinate that specifies the first control pointof a CubicCurve2D
Parameters:
ctrlx2 - the X coordinate that specifies the second control pointof a CubicCurve2D
Parameters:
ctrly2 - the Y coordinate that specifies the second control pointof a CubicCurve2D
Parameters:
x2 - the X coordinate that specifies the end pointof a CubicCurve2D
Parameters:
y2 - the Y coordinate that specifies the end pointof a CubicCurve2D the flatness of the CubicCurve2D represented by the specified coordinates.
since:
1.2 |
| getFlatness | | public static double getFlatness(double coords, int offset)(Code) | | 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 - an array containing coordinates
Parameters:
offset - the index of coords from which to begin getting the end points and control points of the curve the flatness of the CubicCurve2Dspecified by the coordinates in coords atthe specified offset.
since:
1.2 |
| getFlatness | | public double getFlatness()(Code) | | Returns the flatness of this curve. The flatness is the
maximum distance of a control point from the line connecting the
end points.
the flatness of this curve.
since:
1.2 |
| getFlatnessSq | | public static double getFlatnessSq(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)(Code) | | 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 - the X coordinate that specifies the start pointof a CubicCurve2D
Parameters:
y1 - the Y coordinate that specifies the start pointof a CubicCurve2D
Parameters:
ctrlx1 - the X coordinate that specifies the first control pointof a CubicCurve2D
Parameters:
ctrly1 - the Y coordinate that specifies the first control pointof a CubicCurve2D
Parameters:
ctrlx2 - the X coordinate that specifies the second control pointof a CubicCurve2D
Parameters:
ctrly2 - the Y coordinate that specifies the second control pointof a CubicCurve2D
Parameters:
x2 - the X coordinate that specifies the end pointof a CubicCurve2D
Parameters:
y2 - the Y coordinate that specifies the end pointof a CubicCurve2D the square of the flatness of the CubicCurve2D represented by the specified coordinates.
since:
1.2 |
| getFlatnessSq | | public static double getFlatnessSq(double coords, int offset)(Code) | | 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 - an array containing coordinates
Parameters:
offset - the index of coords from which to begin getting the end points and control points of the curve the square of the flatness of the CubicCurve2Dspecified by the coordinates in coords atthe specified offset.
since:
1.2 |
| getFlatnessSq | | public double getFlatnessSq()(Code) | | 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.
the square of the flatness of this curve.
since:
1.2 |
| getP1 | | abstract public Point2D getP1()(Code) | | Returns the start point.
a Point2D that is the start point of the CubicCurve2D .
since:
1.2 |
| getP2 | | abstract public Point2D getP2()(Code) | | Returns the end point.
a Point2D that is the end point of the CubicCurve2D .
since:
1.2 |
| getPathIterator | | public PathIterator getPathIterator(AffineTransform at)(Code) | | 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:
at - an optional AffineTransform to be applied to thecoordinates as they are returned in the iteration, or nullif untransformed coordinates are desired the PathIterator object that returns thegeometry of the outline of this CubicCurve2D, onesegment at a time.
since:
1.2 |
| getPathIterator | | public PathIterator getPathIterator(AffineTransform at, double flatness)(Code) | | 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:
at - an optional AffineTransform to be applied to thecoordinates as they are returned in the iteration, or nullif untransformed coordinates are desired
Parameters:
flatness - the maximum amount that the control pointsfor a given curve can vary from colinear before a subdividedcurve is replaced by a straight line connecting the end points the PathIterator object that returns thegeometry of the outline of this CubicCurve2D,one segment at a time.
since:
1.2 |
| getX1 | | abstract public double getX1()(Code) | | Returns the X coordinate of the start point in double precision.
the X coordinate of the start point of the CubicCurve2D .
since:
1.2 |
| getX2 | | abstract public double getX2()(Code) | | Returns the X coordinate of the end point in double precision.
the X coordinate of the end point of the CubicCurve2D .
since:
1.2 |
| getY1 | | abstract public double getY1()(Code) | | Returns the Y coordinate of the start point in double precision.
the Y coordinate of the start point of the CubicCurve2D .
since:
1.2 |
| getY2 | | abstract public double getY2()(Code) | | Returns the Y coordinate of the end point in double precision.
the Y coordinate of the end point of the CubicCurve2D .
since:
1.2 |
| intersects | | public boolean intersects(double x, double y, double w, double h)(Code) | |
since:
1.2 |
| setCurve | | abstract public void setCurve(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)(Code) | | Sets the location of the end points and control points of this curve
to the specified double coordinates.
Parameters:
x1 - the X coordinate used to set the start pointof this CubicCurve2D
Parameters:
y1 - the Y coordinate used to set the start pointof this CubicCurve2D
Parameters:
ctrlx1 - the X coordinate used to set the first control pointof this CubicCurve2D
Parameters:
ctrly1 - the Y coordinate used to set the first control pointof this CubicCurve2D
Parameters:
ctrlx2 - the X coordinate used to set the second control pointof this CubicCurve2D
Parameters:
ctrly2 - the Y coordinate used to set the second control pointof this CubicCurve2D
Parameters:
x2 - the X coordinate used to set the end pointof this CubicCurve2D
Parameters:
y2 - the Y coordinate used to set the end pointof this CubicCurve2D
since:
1.2 |
| setCurve | | public void setCurve(double[] coords, int offset)(Code) | | 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 - a double array containing coordinates
Parameters:
offset - the index of coords from which to begin setting the end points and control points of this curveto the coordinates contained in coords
since:
1.2 |
| setCurve | | public void setCurve(Point2D p1, Point2D cp1, Point2D cp2, Point2D p2)(Code) | | Sets the location of the end points and control points of this curve
to the specified Point2D coordinates.
Parameters:
p1 - the first specified Point2D used to set thestart point of this curve
Parameters:
cp1 - the second specified Point2D used to set thefirst control point of this curve
Parameters:
cp2 - the third specified Point2D used to set thesecond control point of this curve
Parameters:
p2 - the fourth specified Point2D used to set theend point of this curve
since:
1.2 |
| setCurve | | public void setCurve(Point2D[] pts, int offset)(Code) | | 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 - an array of Point2D objects
Parameters:
offset - the index of pts from which to begin settingthe end points and control points of this curve to the points contained in pts
since:
1.2 |
| setCurve | | public void setCurve(CubicCurve2D c)(Code) | | Sets the location of the end points and control points of this curve
to the same as those in the specified CubicCurve2D.
Parameters:
c - the specified CubicCurve2D
since:
1.2 |
| solveCubic | | public static int solveCubic(double eqn)(Code) | | 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 - an array containing coefficients for a cubic the number of roots, or -1 if the equation is a constant.
since:
1.2 |
| solveCubic | | public static int solveCubic(double eqn, double res)(Code) | | 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 - the specified array of coefficients to use to solvethe cubic equation
Parameters:
res - the array that contains the non-complex roots resulting from the solution of the cubic equation the number of roots, or -1 if the equation is a constant
since:
1.3 |
| subdivide | | public void subdivide(CubicCurve2D left, CubicCurve2D right)(Code) | | 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 orfirst half of the subdivided curve
Parameters:
right - the cubic curve object for storing for the right orsecond half of the subdivided curve
since:
1.2 |
| subdivide | | public static void subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right)(Code) | | 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
Parameters:
left - the cubic curve object for storing the left orfirst half of the subdivided curve
Parameters:
right - the cubic curve object for storing the right orsecond half of the subdivided curve
since:
1.2 |
| subdivide | | public static void subdivide(double src, int srcoff, double left, int leftoff, double right, int rightoff)(Code) | | 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 - the array holding the coordinates for the source curve
Parameters:
srcoff - the offset into the array of the beginning of thethe 6 source coordinates
Parameters:
left - the array for storing the coordinates for the firsthalf of the subdivided curve
Parameters:
leftoff - the offset into the array of the beginning of thethe 6 left coordinates
Parameters:
right - the array for storing the coordinates for the secondhalf of the subdivided curve
Parameters:
rightoff - the offset into the array of the beginning of thethe 6 right coordinates
since:
1.2 |
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