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| JavaTM 2 Platform Std. Ed. v1.6.0
java.awt.geom
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| 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 | |
|---|---|
protected |
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 the specified coordinates are 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 rectangular area. |
boolean |
contains(Point2D p)
Tests if a specified Point2D is inside the boundary
of the Shape. |
boolean |
contains(Rectangle2D r)
Tests if the interior of the Shape entirely contains the
specified Rectangle2D. |
Rectangle |
getBounds()
Returns an integer Rectangle that completely encloses 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(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. |
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. |
double |
getFlatnessSq()
Returns the square of the flatness of this curve. |
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. |
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. |
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 interior of the Shape intersects the
interior of a specified rectangular area. |
boolean |
intersects(Rectangle2D r)
Tests if the interior of the Shape intersects the
interior of a specified Rectangle2D. |
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. |
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. |
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(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. |
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. |
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. |
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. |
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 |
|---|
equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
| Methods inherited from interface java.awt.Shape |
|---|
getBounds2D |
| Constructor Detail |
|---|
protected CubicCurve2D()
java.awt.geom.CubicCurve2D
CubicCurve2D.Float,
CubicCurve2D.Double| Method Detail |
|---|
public abstract double getX1()
CubicCurve2D.public abstract double getY1()
CubicCurve2D.public abstract Point2D getP1()
Point2D that is the start point of
the CubicCurve2D.public abstract double getCtrlX1()
CubicCurve2D.public abstract double getCtrlY1()
CubicCurve2D.public abstract Point2D getCtrlP1()
Point2D that is the first control point of
the CubicCurve2D.public abstract double getCtrlX2()
CubicCurve2D.public abstract double getCtrlY2()
CubicCurve2D.public abstract Point2D getCtrlP2()
Point2D that is the second control point of
the CubicCurve2D.public abstract double getX2()
CubicCurve2D.public abstract double getY2()
CubicCurve2D.public abstract Point2D getP2()
Point2D that is the end point of
the 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 CubicCurve2Dy1 - the Y coordinate used to set the start point
of this CubicCurve2Dctrlx1 - the X coordinate used to set the first control point
of this CubicCurve2Dctrly1 - the Y coordinate used to set the first control point
of this CubicCurve2Dctrlx2 - the X coordinate used to set the second control point
of this CubicCurve2Dctrly2 - the Y coordinate used to set the second control point
of this CubicCurve2Dx2 - the X coordinate used to set the end point
of this CubicCurve2Dy2 - the Y coordinate used to set the end point
of this 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 coordspublic 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 ptspublic void setCurve(CubicCurve2D c)
CubicCurve2D.
c - the specified CubicCurve2D
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 CubicCurve2Dy1 - the Y coordinate that specifies the start point
of a CubicCurve2Dctrlx1 - the X coordinate that specifies the first control point
of a CubicCurve2Dctrly1 - the Y coordinate that specifies the first control point
of a CubicCurve2Dctrlx2 - the X coordinate that specifies the second control point
of a CubicCurve2Dctrly2 - the Y coordinate that specifies the second control point
of a CubicCurve2Dx2 - the X coordinate that specifies the end point
of a CubicCurve2Dy2 - the Y coordinate that specifies the end point
of a CubicCurve2D
CubicCurve2D
represented by the specified coordinates.
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 CubicCurve2Dy1 - the Y coordinate that specifies the start point
of a CubicCurve2Dctrlx1 - the X coordinate that specifies the first control point
of a CubicCurve2Dctrly1 - the Y coordinate that specifies the first control point
of a CubicCurve2Dctrlx2 - the X coordinate that specifies the second control point
of a CubicCurve2Dctrly2 - the Y coordinate that specifies the second control point
of a CubicCurve2Dx2 - the X coordinate that specifies the end point
of a CubicCurve2Dy2 - the Y coordinate that specifies the end point
of a CubicCurve2D
CubicCurve2D
represented by the specified coordinates.
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 curve
CubicCurve2D
specified by the coordinates in coords at
the specified offset.
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 curve
CubicCurve2D
specified by the coordinates in coords at
the specified offset.public double getFlatnessSq()
public double getFlatness()
public 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 curve
public 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 coordinatespublic static int solveCubic(double[] eqn)
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.
eqn - an array containing coefficients for a cubic
public static int solveCubic(double[] eqn,
double[] res)
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.
eqn - the specified array of coefficients to use to solve
the cubic equationres - the array that contains the non-complex roots
resulting from the solution of the cubic equation
public boolean contains(double x,
double y)
Shape.
x - the specified X coordinate to be testedy - the specified Y coordinate to be tested
true if the specified coordinates are inside
the Shape boundary; false
otherwise.public boolean contains(Point2D p)
Point2D is inside the boundary
of the Shape.
p - the specified Point2D to be tested
true if the specified Point2D is
inside the boundary of the Shape;
false otherwise.
public boolean intersects(double x,
double y,
double w,
double h)
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:
Shape intersect, but
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.
intersects in interface Shapex - the X coordinate of the upper-left corner
of the specified rectangular areay - the Y coordinate of the upper-left corner
of the specified rectangular areaw - the width of the specified rectangular areah - the height of the specified rectangular area
true if the interior of the Shape and
the interior of the rectangular area intersect, or are
both highly likely to intersect and intersection calculations
would be too expensive to perform; false otherwise.Areapublic boolean intersects(Rectangle2D r)
Shape intersects the
interior of a specified Rectangle2D.
The Shape.intersects() method allows a Shape
implementation to conservatively return true when:
Rectangle2D and the
Shape intersect, but
Shapes this method might
return true even though the Rectangle2D 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.
intersects in interface Shaper - the specified Rectangle2D
true if the interior of the Shape and
the interior of the specified Rectangle2D
intersect, or are both highly likely to intersect and intersection
calculations would be too expensive to perform; false
otherwise.Shape.intersects(double, double, double, double)
public boolean contains(double x,
double y,
double w,
double h)
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:
intersect method returns true and
Shape entirely contains the rectangular area are
prohibitively expensive.
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.
x - the X coordinate of the upper-left corner
of the specified rectangular areay - the Y coordinate of the upper-left corner
of the specified rectangular areaw - the width of the specified rectangular areah - the height of the specified rectangular area
true if the interior of the Shape
entirely contains the specified rectangular area;
false otherwise or, if the Shape
contains the rectangular area and the
intersects method returns true
and the containment calculations would be too expensive to
perform.Area,
Shape.intersects(double, double, double, double)public boolean contains(Rectangle2D r)
Shape entirely contains the
specified Rectangle2D.
The Shape.contains() method allows a Shape
implementation to conservatively return false when:
intersect method returns true and
Shape entirely contains the Rectangle2D
are prohibitively expensive.
Shapes this method might
return false even though the Shape contains
the Rectangle2D.
The Area class performs
more accurate geometric computations than most
Shape objects and therefore can be used if a more precise
answer is required.
r - The specified Rectangle2D
true if the interior of the Shape
entirely contains the Rectangle2D;
false otherwise or, if the Shape
contains the Rectangle2D and the
intersects method returns true
and the containment calculations would be too expensive to
perform.Shape.contains(double, double, double, double)public Rectangle getBounds()
Rectangle that completely encloses the
Shape. Note that there is no guarantee that the
returned Rectangle is the smallest bounding box that
encloses the Shape, only that the Shape
lies entirely within the indicated Rectangle. The
returned Rectangle might also fail to completely
enclose the Shape if the Shape overflows
the limited range of the integer data type. The
getBounds2D method generally returns a
tighter bounding box due to its greater flexibility in
representation.
Rectangle that completely encloses
the Shape.Shape.getBounds2D()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.
getPathIterator in interface Shapeat - an optional AffineTransform to be applied to the
coordinates as they are returned in the iteration, or null
if untransformed coordinates are desired
PathIterator 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.
getPathIterator in interface Shapeat - 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 points
PathIterator object that returns the
geometry of the outline of this CubicCurve2D,
one segment at a time.public Object clone()
OutOfMemoryError - if there is not enough memory.Cloneable