public abstract class QuadCurve2D extends Object implements Shape, Cloneable
QuadCurve2D
class defines a quadratic parametric curve
segment in (x,y)
coordinate space.
This class is only the abstract superclass for all objects that store a 2D quadratic curve segment. The actual storage representation of the coordinates is left to the subclass.
Modifier and Type  Class and Description 

static class 
QuadCurve2D.Double
A quadratic parametric curve segment specified with
double coordinates. 
static class 
QuadCurve2D.Float
A quadratic parametric curve segment specified with
float coordinates. 
Modifier  Constructor and Description 

protected 
QuadCurve2D()
This is an abstract class that cannot be instantiated directly.

Modifier and Type  Method and Description 

Object 
clone()
Creates a new object of the same class and with the same contents
as this object.

boolean 
contains(double x,
double y)
Tests if the specified coordinates are inside the boundary of the
Shape , as described by the
definition of insideness. 
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 , as described by the
definition of insideness. 
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 
getCtrlPt()
Returns the control point.

abstract double 
getCtrlX()
Returns the X coordinate of the control point in
double precision. 
abstract double 
getCtrlY()
Returns the Y coordinate of the control point in
double precision. 
double 
getFlatness()
Returns the flatness, or maximum distance of a
control point from the line connecting the end points, of this
QuadCurve2D . 
static double 
getFlatness(double[] coords,
int offset)
Returns the flatness, or maximum distance of a
control point from the line connecting the end points, of the
quadratic curve specified by the control points stored in the
indicated array at the indicated index.

static double 
getFlatness(double x1,
double y1,
double ctrlx,
double ctrly,
double x2,
double y2)
Returns the flatness, or maximum distance of a
control point from the line connecting the end points, of the
quadratic curve specified by the indicated control points.

double 
getFlatnessSq()
Returns the square of the flatness, or maximum distance of a
control point from the line connecting the end points, of this
QuadCurve2D . 
static double 
getFlatnessSq(double[] coords,
int offset)
Returns the square of the flatness, or maximum distance of a
control point from the line connecting the end points, of the
quadratic curve specified by the control points stored in the
indicated array at the indicated index.

static double 
getFlatnessSq(double x1,
double y1,
double ctrlx,
double ctrly,
double x2,
double y2)
Returns the square of the flatness, or maximum distance of a
control point from the line connecting the end points, of the
quadratic 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 of this
QuadCurve2D . 
PathIterator 
getPathIterator(AffineTransform at,
double flatness)
Returns an iteration object that defines the boundary of the
flattened shape of this
QuadCurve2D . 
abstract double 
getX1()
Returns the X coordinate of the start point in
double in 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(double[] coords,
int offset)
Sets the location of the end points and control points of this
QuadCurve2D to the double coordinates at
the specified offset in the specified array. 
abstract void 
setCurve(double x1,
double y1,
double ctrlx,
double ctrly,
double x2,
double y2)
Sets the location of the end points and control point 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
QuadCurve2D to the coordinates of the
Point2D objects at the specified offset in
the specified array. 
void 
setCurve(Point2D p1,
Point2D cp,
Point2D p2)
Sets the location of the end points and control point of this
QuadCurve2D to the specified Point2D
coordinates. 
void 
setCurve(QuadCurve2D c)
Sets the location of the end points and control point of this
QuadCurve2D to the same as those in the specified
QuadCurve2D . 
static int 
solveQuadratic(double[] eqn)
Solves the quadratic whose coefficients are in the
eqn
array and places the noncomplex roots back into the same array,
returning the number of roots. 
static int 
solveQuadratic(double[] eqn,
double[] res)
Solves the quadratic whose coefficients are in the
eqn
array and places the noncomplex roots into the res
array, returning the number of roots. 
static void 
subdivide(double[] src,
int srcoff,
double[] left,
int leftoff,
double[] right,
int rightoff)
Subdivides the quadratic curve specified by the coordinates
stored in the
src array at indices
srcoff through srcoff + 5
and stores the resulting two subdivided curves into the two
result arrays at the corresponding indices. 
void 
subdivide(QuadCurve2D left,
QuadCurve2D right)
Subdivides this
QuadCurve2D and stores the resulting
two subdivided curves into the left and
right curve parameters. 
static void 
subdivide(QuadCurve2D src,
QuadCurve2D left,
QuadCurve2D right)
Subdivides the quadratic curve specified by the
src
parameter and stores the resulting two subdivided curves into the
left and right curve parameters. 
equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
getBounds2D
protected QuadCurve2D()
QuadCurve2D.Float
,
QuadCurve2D.Double
public abstract double getX1()
double
in precision.public abstract double getY1()
double
precision.public abstract Point2D getP1()
Point2D
that is the start point of this
QuadCurve2D
.public abstract double getCtrlX()
double
precision.public abstract double getCtrlY()
double
precision.public abstract Point2D getCtrlPt()
Point2D
that is the control point of this
Point2D
.public abstract double getX2()
double
precision.public abstract double getY2()
double
precision.public abstract Point2D getP2()
Point
object that is the end point
of this Point2D
.public abstract void setCurve(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
double
coordinates.x1
 the X coordinate of the start pointy1
 the Y coordinate of the start pointctrlx
 the X coordinate of the control pointctrly
 the Y coordinate of the control pointx2
 the X coordinate of the end pointy2
 the Y coordinate of the end pointpublic void setCurve(double[] coords, int offset)
QuadCurve2D
to the double
coordinates at
the specified offset in the specified array.coords
 the array containing coordinate valuesoffset
 the index into the array from which to start
getting the coordinate values and assigning them to this
QuadCurve2D
public void setCurve(Point2D p1, Point2D cp, Point2D p2)
QuadCurve2D
to the specified Point2D
coordinates.p1
 the start pointcp
 the control pointp2
 the end pointpublic void setCurve(Point2D[] pts, int offset)
QuadCurve2D
to the coordinates of the
Point2D
objects at the specified offset in
the specified array.pts
 an array containing Point2D
that define
coordinate valuesoffset
 the index into pts
from which to start
getting the coordinate values and assigning them to this
QuadCurve2D
public void setCurve(QuadCurve2D c)
QuadCurve2D
to the same as those in the specified
QuadCurve2D
.c
 the specified QuadCurve2D
public static double getFlatnessSq(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
x1
 the X coordinate of the start pointy1
 the Y coordinate of the start pointctrlx
 the X coordinate of the control pointctrly
 the Y coordinate of the control pointx2
 the X coordinate of the end pointy2
 the Y coordinate of the end pointpublic static double getFlatness(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
x1
 the X coordinate of the start pointy1
 the Y coordinate of the start pointctrlx
 the X coordinate of the control pointctrly
 the Y coordinate of the control pointx2
 the X coordinate of the end pointy2
 the Y coordinate of the end pointpublic static double getFlatnessSq(double[] coords, int offset)
coords
 an array containing coordinate valuesoffset
 the index into coords
from which to
to start getting the values from the arraypublic static double getFlatness(double[] coords, int offset)
coords
 an array containing coordinate valuesoffset
 the index into coords
from which to
start getting the coordinate valuespublic double getFlatnessSq()
QuadCurve2D
.QuadCurve2D
.public double getFlatness()
QuadCurve2D
.QuadCurve2D
.public void subdivide(QuadCurve2D left, QuadCurve2D right)
QuadCurve2D
and stores the resulting
two subdivided curves into the left
and
right
curve parameters.
Either or both of the left
and right
objects can be the same as this QuadCurve2D
or
null
.left
 the QuadCurve2D
object for storing the
left or first half of the subdivided curveright
 the QuadCurve2D
object for storing the
right or second half of the subdivided curvepublic static void subdivide(QuadCurve2D src, QuadCurve2D left, QuadCurve2D 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 can be the same as the src
object or
null
.src
 the quadratic curve to be subdividedleft
 the QuadCurve2D
object for storing the
left or first half of the subdivided curveright
 the QuadCurve2D
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
+ 5
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 can be null
or a reference to the same array
and offset 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 that
rightoff
equals leftoff
+ 4 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 solveQuadratic(double[] eqn)
eqn
array and places the noncomplex roots back into the same array,
returning the number of roots. The quadratic solved is represented
by the equation:
eqn = {C, B, A}; ax^2 + bx + c = 0A return value of
1
is used to distinguish a constant
equation, which might be always 0 or never 0, from an equation that
has no zeroes.eqn
 the array that contains the quadratic coefficients1
if the equation is
a constantpublic static int solveQuadratic(double[] eqn, double[] res)
eqn
array and places the noncomplex roots into the res
array, returning the number of roots.
The quadratic solved is represented by the equation:
eqn = {C, B, A}; ax^2 + bx + c = 0A return value of
1
is used to distinguish a constant
equation, which might be always 0 or never 0, from an equation that
has no zeroes.eqn
 the specified array of coefficients to use to solve
the quadratic equationres
 the array that contains the noncomplex roots
resulting from the solution of the quadratic equation1
if the equation is
a constant.public boolean contains(double x, double y)
Shape
, as described by the
definition of insideness.public boolean contains(Point2D p)
Point2D
is inside the boundary
of the Shape
, as described by the
definition of insideness.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 Shape
x
 the X coordinate of the upperleft corner
of the specified rectangular areay
 the Y coordinate of the upperleft corner
of the specified rectangular areaw
 the width of the specified rectangular areah
 the height of the specified rectangular areatrue
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.Area
public 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 Shape
r
 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 rectangular 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.contains
in interface Shape
x
 the X coordinate of the upperleft corner
of the specified rectangular areay
 the Y coordinate of the upperleft corner
of the specified rectangular areaw
 the width of the specified rectangular areah
 the height of the specified rectangular areatrue
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.contains
in interface Shape
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.
Note that the
definition of insideness can lead to situations where points
on the defining outline of the shape
may not be considered
contained in the returned bounds
object, but only in cases
where those points are also not considered contained in the original
shape
.
If a point
is inside the shape
according to the
contains(point)
method, then
it must be inside the returned Rectangle
bounds object
according to the contains(point)
method of the bounds
. Specifically:
shape.contains(x,y)
requires bounds.contains(x,y)
If a point
is not inside the shape
, then it might
still be contained in the bounds
object:
bounds.contains(x,y)
does not imply shape.contains(x,y)
getBounds
in interface Shape
Rectangle
that completely encloses
the Shape
.Shape.getBounds2D()
public PathIterator getPathIterator(AffineTransform at)
QuadCurve2D
.
The iterator for this class is not multithreaded safe,
which means that this QuadCurve2D
class does not
guarantee that modifications to the geometry of this
QuadCurve2D
object do not affect any iterations of
that geometry that are already in process.getPathIterator
in interface Shape
at
 an optional AffineTransform
to apply to the
shape boundaryPathIterator
object that defines the boundary
of the shape.public PathIterator getPathIterator(AffineTransform at, double flatness)
QuadCurve2D
.
The iterator for this class is not multithreaded safe,
which means that this QuadCurve2D
class does not
guarantee that modifications to the geometry of this
QuadCurve2D
object do not affect any iterations of
that geometry that are already in process.getPathIterator
in interface Shape
at
 an optional AffineTransform
to apply
to the boundary of the shapeflatness
 the maximum distance that the control points for a
subdivided curve can be with respect to a line connecting
the end points of this curve before this curve is
replaced by a straight line connecting the end points.PathIterator
object that defines the
flattened boundary of the shape.public Object clone()
clone
in class Object
OutOfMemoryError
 if there is not enough memory.Cloneable
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