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public abstract class QuadCurve2D extends Object implements Shape, Cloneable
The QuadCurve2D
class defines a quadratic parametric curve
segment in {@code (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.
Nested Class Summary | |
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static class |
A quadratic parametric curve segment specified with coordinates. |
static class |
A quadratic parametric curve segment specified with coordinates. |
Constructor Summary | |
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protected |
This is an abstract class that cannot be instantiated directly. |
Method Summary | |
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Object |
clone() Creates a new object of the same class and with the same contents as this object. |
boolean |
contains(double x, double y) |
boolean |
contains(double x, double y, double w, double h) |
boolean |
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boolean |
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Rectangle |
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abstract Point2D |
Returns the control point. |
abstract double |
getCtrlX() Returns the X coordinate of the control point in double precision.
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abstract double |
getCtrlY() Returns the Y coordinate of the control point in double precision.
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double |
Returns the flatness, or maximum distance of a control point from the line connecting the end points, of this QuadCurve2D .
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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. |
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. |
double |
Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of this QuadCurve2D .
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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. |
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. |
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 of this QuadCurve2D .
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PathIterator |
getPathIterator(AffineTransform at, double flatness) Returns an iteration object that defines the boundary of the flattened shape of this QuadCurve2D .
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abstract double |
getX1() Returns the X coordinate of the start point in double in precision.
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abstract double |
getX2() Returns the X coordinate of the end point in double precision.
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abstract double |
getY1() Returns the Y coordinate of the start point in double precision.
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abstract double |
getY2() Returns the Y coordinate of the end point in double precision.
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boolean |
intersects(double x, double y, double w, double h) |
boolean |
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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.
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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.
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void |
Sets the location of the end points and control point of this QuadCurve2D to the specified Point2D
coordinates.
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void |
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.
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void |
Sets the location of the end points and control point of this QuadCurve2D to the same as those in the specified
QuadCurve2D .
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static int |
solveQuadratic(double[] eqn) Solves the quadratic whose coefficients are in the eqn
array and places the non-complex roots back into the same array,
returning the number of roots.
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static int |
solveQuadratic(double[] eqn, double[] res) Solves the quadratic whose coefficients are in the eqn
array and places the non-complex roots into the res
array, returning the number of roots.
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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.
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void |
subdivide(QuadCurve2D left, QuadCurve2D right) Subdivides this QuadCurve2D and stores the resulting
two subdivided curves into the left and
right curve parameters.
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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.
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Methods inherited from class java.lang.Object |
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clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Constructor Detail |
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protected QuadCurve2D()
Method Detail |
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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 getCtrlPt()
Point2D
that is the control point of this
Point2D
.public abstract double getCtrlX()
double
precision.
public abstract double getCtrlY()
double
precision.
public double getFlatness()
QuadCurve2D
.
QuadCurve2D
.public 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 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 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 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 abstract Point2D getP1()
Point2D
that is the start point of this
QuadCurve2D
.public abstract Point2D getP2()
Point
object that is the end point
of this Point2D
.public PathIterator getPathIterator(AffineTransform at)
QuadCurve2D
.
The iterator for this class is not multi-threaded 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.
at
- an optional {@link AffineTransform} to apply to the
shape boundarypublic PathIterator getPathIterator(AffineTransform at, double flatness)
QuadCurve2D
.
The iterator for this class is not multi-threaded 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.
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 abstract double getX1()
double
in precision.
public abstract double getX2()
double
precision.
public abstract double getY1()
double
precision.
public abstract double getY2()
double
precision.
public boolean intersects(double x, double y, double w, double h)
x
y
w
h
public boolean intersects(Rectangle2D r)
r
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 int solveQuadratic(double[] eqn)
eqn
array and places the non-complex 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 coefficients-1
if the equation is
a constantpublic static int solveQuadratic(double[] eqn, double[] res)
eqn
array and places the non-complex 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 non-complex roots
resulting from the solution of the quadratic equation-1
if the equation is
a constant.public 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 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 curve
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