Module java.desktop
Package java.awt.geom

# Class Path2D

java.lang.Object
java.awt.geom.Path2D

All Implemented Interfaces:
  `Shape`, `Cloneable`

Direct Known Subclasses:
  `Path2D.Double`, `Path2D.Float`

public abstract sealed class Path2D extends Object implements Shape, Cloneable permits Path2D.Double, Path2D.Float
The `Path2D` class provides a simple, yet flexible shape which represents an arbitrary geometric path. It can fully represent any path which can be iterated by the `PathIterator` interface including all of its segment types and winding rules and it implements all of the basic hit testing methods of the `Shape` interface.

Use `Path2D.Float` when dealing with data that can be represented and used with floating point precision. Use `Path2D.Double` for data that requires the accuracy or range of double precision.

`Path2D` provides exactly those facilities required for basic construction and management of a geometric path and implementation of the above interfaces with little added interpretation. If it is useful to manipulate the interiors of closed geometric shapes beyond simple hit testing then the `Area` class provides additional capabilities specifically targeted at closed figures. While both classes nominally implement the `Shape` interface, they differ in purpose and together they provide two useful views of a geometric shape where `Path2D` deals primarily with a trajectory formed by path segments and `Area` deals more with interpretation and manipulation of enclosed regions of 2D geometric space.

The `PathIterator` interface has more detailed descriptions of the types of segments that make up a path and the winding rules that control how to determine which regions are inside or outside the path.

Since:
  1.6

- ## Nested Class Summary

  Nested Classes
  Modifier and Type
  Class
  Description
  `static class`
  `Path2D.Double`
  The `Double` class defines a geometric path with coordinates stored in double precision floating point.
  `static class`
  `Path2D.Float`
  The `Float` class defines a geometric path with coordinates stored in single precision floating point.

- ## Field Summary

  Fields
  Modifier and Type
  Field
  Description
  `static final int`
  `WIND_EVEN_ODD`
  An even-odd winding rule for determining the interior of a path.
  `static final int`
  `WIND_NON_ZERO`
  A non-zero winding rule for determining the interior of a path.

- ## Method Summary

  Modifier and Type
  Method
  Description
  `abstract void`
  `append(PathIterator pi, boolean connect)`
  Appends the geometry of the specified `PathIterator` object to the path, possibly connecting the new geometry to the existing path segments with a line segment.
  `final void`
  `append(Shape s, boolean connect)`
  Appends the geometry of the specified `Shape` object to the path, possibly connecting the new geometry to the existing path segments with a line segment.
  `abstract Object`
  `clone()`
  Creates a new object of the same class as this object.
  `final void`
  `closePath()`
  Closes the current subpath by drawing a straight line back to the coordinates of the last `moveTo`.
  `final 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.
  `final boolean`
  `contains(double x, double y, double w, double h)`
  Tests if the interior of the `Shape` entirely contains the specified rectangular area.
  `static boolean`
  `contains(PathIterator pi, double x, double y)`
  Tests if the specified coordinates are inside the closed boundary of the specified `PathIterator`.
  `static boolean`
  `contains(PathIterator pi, double x, double y, double w, double h)`
  Tests if the specified rectangular area is entirely inside the closed boundary of the specified `PathIterator`.
  `static boolean`
  `contains(PathIterator pi, Point2D p)`
  Tests if the specified `Point2D` is inside the closed boundary of the specified `PathIterator`.
  `static boolean`
  `contains(PathIterator pi, Rectangle2D r)`
  Tests if the specified `Rectangle2D` is entirely inside the closed boundary of the specified `PathIterator`.
  `final boolean`
  `contains(Point2D p)`
  Tests if a specified `Point2D` is inside the boundary of the `Shape`, as described by the definition of insideness.
  `final boolean`
  `contains(Rectangle2D r)`
  Tests if the interior of the `Shape` entirely contains the specified `Rectangle2D`.
  `final Shape`
  `createTransformedShape(AffineTransform at)`
  Returns a new `Shape` representing a transformed version of this `Path2D`.
  `abstract void`
  `curveTo(double x1, double y1, double x2, double y2, double x3, double y3)`
  Adds a curved segment, defined by three new points, to the path by drawing a Bézier curve that intersects both the current coordinates and the specified coordinates `(x3,y3)`, using the specified points `(x1,y1)` and `(x2,y2)` as Bézier control points.
  `final Rectangle`
  `getBounds()`
  Returns an integer `Rectangle` that completely encloses the `Shape`.
  `final Point2D`
  `getCurrentPoint()`
  Returns the coordinates most recently added to the end of the path as a `Point2D` object.
  `final PathIterator`
  `getPathIterator(AffineTransform at, double flatness)`
  Returns an iterator object that iterates along the `Shape` boundary and provides access to a flattened view of the `Shape` outline geometry.
  `final int`
  `getWindingRule()`
  Returns the fill style winding rule.
  `final 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.
  `static boolean`
  `intersects(PathIterator pi, double x, double y, double w, double h)`
  Tests if the interior of the specified `PathIterator` intersects the interior of a specified set of rectangular coordinates.
  `static boolean`
  `intersects(PathIterator pi, Rectangle2D r)`
  Tests if the interior of the specified `PathIterator` intersects the interior of a specified `Rectangle2D`.
  `final boolean`
  `intersects(Rectangle2D r)`
  Tests if the interior of the `Shape` intersects the interior of a specified `Rectangle2D`.
  `abstract void`
  `lineTo(double x, double y)`
  Adds a point to the path by drawing a straight line from the current coordinates to the new specified coordinates specified in double precision.
  `abstract void`
  `moveTo(double x, double y)`
  Adds a point to the path by moving to the specified coordinates specified in double precision.
  `abstract void`
  `quadTo(double x1, double y1, double x2, double y2)`
  Adds a curved segment, defined by two new points, to the path by drawing a Quadratic curve that intersects both the current coordinates and the specified coordinates `(x2,y2)`, using the specified point `(x1,y1)` as a quadratic parametric control point.
  `final void`
  `reset()`
  Resets the path to empty.
  `final void`
  `setWindingRule(int rule)`
  Sets the winding rule for this path to the specified value.
  `abstract void`
  `transform(AffineTransform at)`
  Transforms the geometry of this path using the specified `AffineTransform`.
  `abstract void`
  `trimToSize()`
  Trims the capacity of this Path2D instance to its current size.

  ### Methods declared in class java.lang.Object

  `equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

  ### Methods declared in interface java.awt.Shape

  `getBounds2D, getPathIterator`

- ## Field Details

  - ### WIND_EVEN_ODD

    public static final int WIND_EVEN_ODD
    An even-odd winding rule for determining the interior of a path.
    Since:
      1.6
    See Also:
      - `PathIterator.WIND_EVEN_ODD`
      - Constant Field Values

  - ### WIND_NON_ZERO

    public static final int WIND_NON_ZERO
    A non-zero winding rule for determining the interior of a path.
    Since:
      1.6
    See Also:
      - `PathIterator.WIND_NON_ZERO`
      - Constant Field Values

- ## Method Details

  - ### moveTo

    public abstract void moveTo(double x, double y)
    Adds a point to the path by moving to the specified coordinates specified in double precision.
    Parameters:
      `x` - the specified X coordinate
      `y` - the specified Y coordinate
    Since:
      1.6

  - ### lineTo

    public abstract void lineTo(double x, double y)
    Adds a point to the path by drawing a straight line from the current coordinates to the new specified coordinates specified in double precision.
    Parameters:
      `x` - the specified X coordinate
      `y` - the specified Y coordinate
    Since:
      1.6

  - ### quadTo

    public abstract void quadTo(double x1, double y1, double x2, double y2)
    Adds a curved segment, defined by two new points, to the path by drawing a Quadratic curve that intersects both the current coordinates and the specified coordinates `(x2,y2)`, using the specified point `(x1,y1)` as a quadratic parametric control point. All coordinates are specified in double precision.
    Parameters:
      `x1` - the X coordinate of the quadratic control point
      `y1` - the Y coordinate of the quadratic control point
      `x2` - the X coordinate of the final end point
      `y2` - the Y coordinate of the final end point
    Since:
      1.6

  - ### curveTo

    public abstract void curveTo(double x1, double y1, double x2, double y2, double x3, double y3)
    Adds a curved segment, defined by three new points, to the path by drawing a Bézier curve that intersects both the current coordinates and the specified coordinates `(x3,y3)`, using the specified points `(x1,y1)` and `(x2,y2)` as Bézier control points. All coordinates are specified in double precision.
    Parameters:
      `x1` - the X coordinate of the first Bézier control point
      `y1` - the Y coordinate of the first Bézier control point
      `x2` - the X coordinate of the second Bézier control point
      `y2` - the Y coordinate of the second Bézier control point
      `x3` - the X coordinate of the final end point
      `y3` - the Y coordinate of the final end point
    Since:
      1.6

  - ### closePath

    public final void closePath()
    Closes the current subpath by drawing a straight line back to the coordinates of the last `moveTo`. If the path is already closed then this method has no effect.
    Since:
      1.6

  - ### append

    public final void append(Shape s, boolean connect)
    Appends the geometry of the specified `Shape` object to the path, possibly connecting the new geometry to the existing path segments with a line segment. If the `connect` parameter is `true` and the path is not empty then any initial `moveTo` in the geometry of the appended `Shape` is turned into a `lineTo` segment. If the destination coordinates of such a connecting `lineTo` segment match the ending coordinates of a currently open subpath then the segment is omitted as superfluous. The winding rule of the specified `Shape` is ignored and the appended geometry is governed by the winding rule specified for this path.
    Parameters:
      `s` - the `Shape` whose geometry is appended to this path
      `connect` - a boolean to control whether or not to turn an initial `moveTo` segment into a `lineTo` segment to connect the new geometry to the existing path
    Since:
      1.6

  - ### append

    public abstract void append(PathIterator pi, boolean connect)
    Appends the geometry of the specified `PathIterator` object to the path, possibly connecting the new geometry to the existing path segments with a line segment. If the `connect` parameter is `true` and the path is not empty then any initial `moveTo` in the geometry of the appended `Shape` is turned into a `lineTo` segment. If the destination coordinates of such a connecting `lineTo` segment match the ending coordinates of a currently open subpath then the segment is omitted as superfluous. The winding rule of the specified `Shape` is ignored and the appended geometry is governed by the winding rule specified for this path.
    Parameters:
      `pi` - the `PathIterator` whose geometry is appended to this path
      `connect` - a boolean to control whether or not to turn an initial `moveTo` segment into a `lineTo` segment to connect the new geometry to the existing path
    Since:
      1.6

  - ### getWindingRule

    public final int getWindingRule()
    Returns the fill style winding rule.
    Returns:
      an integer representing the current winding rule.
    Since:
      1.6
    See Also:
      - `WIND_EVEN_ODD`
      - `WIND_NON_ZERO`
      - `setWindingRule(int)`

  - ### setWindingRule

    public final void setWindingRule(int rule)
    Sets the winding rule for this path to the specified value.
    Parameters:
      `rule` - an integer representing the specified winding rule
    Throws:
      `IllegalArgumentException` - if `rule` is not either `WIND_EVEN_ODD` or `WIND_NON_ZERO`
    Since:
      1.6
    See Also:
      - `getWindingRule()`

  - ### getCurrentPoint

    public final Point2D getCurrentPoint()
    Returns the coordinates most recently added to the end of the path as a `Point2D` object.
    Returns:
      a `Point2D` object containing the ending coordinates of the path or `null` if there are no points in the path.
    Since:
      1.6

  - ### reset

    public final void reset()
    Resets the path to empty. The append position is set back to the beginning of the path and all coordinates and point types are forgotten.
    Since:
      1.6

  - ### transform

    public abstract void transform(AffineTransform at)
    Transforms the geometry of this path using the specified `AffineTransform`. The geometry is transformed in place, which permanently changes the boundary defined by this object.
    Parameters:
      `at` - the `AffineTransform` used to transform the area
    Since:
      1.6

  - ### createTransformedShape

    public final Shape createTransformedShape(AffineTransform at)
    Returns a new `Shape` representing a transformed version of this `Path2D`. Note that the exact type and coordinate precision of the return value is not specified for this method. The method will return a Shape that contains no less precision for the transformed geometry than this `Path2D` currently maintains, but it may contain no more precision either. If the tradeoff of precision vs. storage size in the result is important then the convenience constructors in the `Path2D.Float` and `Path2D.Double` subclasses should be used to make the choice explicit.
    Parameters:
      `at` - the `AffineTransform` used to transform a new `Shape`.
    Returns:
      a new `Shape`, transformed with the specified `AffineTransform`.
    Since:
      1.6

  - ### getBounds

    public final Rectangle getBounds()
    Returns an integer `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)`

    Specified by:
      `getBounds` in interface `Shape`
    Returns:
      an integer `Rectangle` that completely encloses the `Shape`.
    Since:
      1.6
    See Also:
      - `Shape.getBounds2D()`

  - ### contains

    public static boolean contains(PathIterator pi, double x, double y)
    Tests if the specified coordinates are inside the closed boundary of the specified `PathIterator`.

    This method provides a basic facility for implementors of the `Shape` interface to implement support for the `Shape.contains(double, double)` method.

    Parameters:
      `pi` - the specified `PathIterator`
      `x` - the specified X coordinate
      `y` - the specified Y coordinate
    Returns:
      `true` if the specified coordinates are inside the specified `PathIterator`; `false` otherwise
    Since:
      1.6

  - ### contains

    public static boolean contains(PathIterator pi, Point2D p)
    Tests if the specified `Point2D` is inside the closed boundary of the specified `PathIterator`.

    This method provides a basic facility for implementors of the `Shape` interface to implement support for the `Shape.contains(Point2D)` method.

    Parameters:
      `pi` - the specified `PathIterator`
      `p` - the specified `Point2D`
    Returns:
      `true` if the specified coordinates are inside the specified `PathIterator`; `false` otherwise
    Since:
      1.6

  - ### contains

    public final 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.
    Specified by:
      `contains` in interface `Shape`
    Parameters:
      `x` - the specified X coordinate to be tested
      `y` - the specified Y coordinate to be tested
    Returns:
      `true` if the specified coordinates are inside the `Shape` boundary; `false` otherwise.
    Since:
      1.6

  - ### contains

    public final boolean contains(Point2D p)
    Tests if a specified `Point2D` is inside the boundary of the `Shape`, as described by the definition of insideness.
    Specified by:
      `contains` in interface `Shape`
    Parameters:
      `p` - the specified `Point2D` to be tested
    Returns:
      `true` if the specified `Point2D` is inside the boundary of the `Shape`; `false` otherwise.
    Since:
      1.6

  - ### contains

    public static boolean contains(PathIterator pi, double x, double y, double w, double h)
    Tests if the specified rectangular area is entirely inside the closed boundary of the specified `PathIterator`.

    This method provides a basic facility for implementors of the `Shape` interface to implement support for the `Shape.contains(double, double, double, double)` method.

    This method object may conservatively return false in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such segments could lie entirely within the interior of the path if they are part of a path with a `WIND_NON_ZERO` winding rule or if the segments are retraced in the reverse direction such that the two sets of segments cancel each other out without any exterior area falling between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Parameters:
      `pi` - the specified `PathIterator`
      `x` - the specified X coordinate
      `y` - the specified Y coordinate
      `w` - the width of the specified rectangular area
      `h` - the height of the specified rectangular area
    Returns:
      `true` if the specified `PathIterator` contains the specified rectangular area; `false` otherwise.
    Since:
      1.6

  - ### contains

    public static boolean contains(PathIterator pi, Rectangle2D r)
    Tests if the specified `Rectangle2D` is entirely inside the closed boundary of the specified `PathIterator`.

    This method provides a basic facility for implementors of the `Shape` interface to implement support for the `Shape.contains(Rectangle2D)` method.

    This method object may conservatively return false in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such segments could lie entirely within the interior of the path if they are part of a path with a `WIND_NON_ZERO` winding rule or if the segments are retraced in the reverse direction such that the two sets of segments cancel each other out without any exterior area falling between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Parameters:
      `pi` - the specified `PathIterator`
      `r` - a specified `Rectangle2D`
    Returns:
      `true` if the specified `PathIterator` contains the specified `Rectangle2D`; `false` otherwise.
    Since:
      1.6

  - ### contains

    public final boolean contains(double x, double y, double w, double h)
    Tests if the interior of the `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:

    - the `intersect` method returns `true` and
    - the calculations to determine whether or not the `Shape` entirely contains the rectangular area are prohibitively expensive.
    This means that for some `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.

    This method object may conservatively return false in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such segments could lie entirely within the interior of the path if they are part of a path with a `WIND_NON_ZERO` winding rule or if the segments are retraced in the reverse direction such that the two sets of segments cancel each other out without any exterior area falling between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Specified by:
      `contains` in interface `Shape`
    Parameters:
      `x` - the X coordinate of the upper-left corner of the specified rectangular area
      `y` - the Y coordinate of the upper-left corner of the specified rectangular area
      `w` - the width of the specified rectangular area
      `h` - the height of the specified rectangular area
    Returns:
      `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.
    Since:
      1.6
    See Also:
      - `Area`
      - `Shape.intersects(double, double, double, double)`

  - ### contains

    public final boolean contains(Rectangle2D r)
    Tests if the interior of the `Shape` entirely contains the specified `Rectangle2D`. The `Shape.contains()` method allows a `Shape` implementation to conservatively return `false` when:
    - the `intersect` method returns `true` and
    - the calculations to determine whether or not the `Shape` entirely contains the `Rectangle2D` are prohibitively expensive.
    This means that for some `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.

    This method object may conservatively return false in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such segments could lie entirely within the interior of the path if they are part of a path with a `WIND_NON_ZERO` winding rule or if the segments are retraced in the reverse direction such that the two sets of segments cancel each other out without any exterior area falling between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Specified by:
      `contains` in interface `Shape`
    Parameters:
      `r` - The specified `Rectangle2D`
    Returns:
      `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.
    Since:
      1.6
    See Also:
      - `Shape.contains(double, double, double, double)`

  - ### intersects

    public static boolean intersects(PathIterator pi, double x, double y, double w, double h)
    Tests if the interior of the specified `PathIterator` intersects the interior of a specified set of rectangular coordinates.

    This method provides a basic facility for implementors of the `Shape` interface to implement support for the `Shape.intersects(double, double, double, double)` method.

    This method object may conservatively return true in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such a case may occur if some set of segments of the path are retraced in the reverse direction such that the two sets of segments cancel each other out without any interior area between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Parameters:
      `pi` - the specified `PathIterator`
      `x` - the specified X coordinate
      `y` - the specified Y coordinate
      `w` - the width of the specified rectangular coordinates
      `h` - the height of the specified rectangular coordinates
    Returns:
      `true` if the specified `PathIterator` and the interior of the specified set of rectangular coordinates intersect each other; `false` otherwise.
    Since:
      1.6

  - ### intersects

    public static boolean intersects(PathIterator pi, Rectangle2D r)
    Tests if the interior of the specified `PathIterator` intersects the interior of a specified `Rectangle2D`.

    This method provides a basic facility for implementors of the `Shape` interface to implement support for the `Shape.intersects(Rectangle2D)` method.

    This method object may conservatively return true in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such a case may occur if some set of segments of the path are retraced in the reverse direction such that the two sets of segments cancel each other out without any interior area between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Parameters:
      `pi` - the specified `PathIterator`
      `r` - the specified `Rectangle2D`
    Returns:
      `true` if the specified `PathIterator` and the interior of the specified `Rectangle2D` intersect each other; `false` otherwise.
    Since:
      1.6

  - ### intersects

    public final 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. 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:

    - there is a high probability that the rectangular area and the `Shape` intersect, but
    - the calculations to accurately determine this intersection are prohibitively expensive.
    This means that for some `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.

    This method object may conservatively return true in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such a case may occur if some set of segments of the path are retraced in the reverse direction such that the two sets of segments cancel each other out without any interior area between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Specified by:
      `intersects` in interface `Shape`
    Parameters:
      `x` - the X coordinate of the upper-left corner of the specified rectangular area
      `y` - the Y coordinate of the upper-left corner of the specified rectangular area
      `w` - the width of the specified rectangular area
      `h` - the height of the specified rectangular area
    Returns:
      `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.
    Since:
      1.6
    See Also:
      - `Area`

  - ### intersects

    public final boolean intersects(Rectangle2D r)
    Tests if the interior of the `Shape` intersects the interior of a specified `Rectangle2D`. The `Shape.intersects()` method allows a `Shape` implementation to conservatively return `true` when:
    - there is a high probability that the `Rectangle2D` and the `Shape` intersect, but
    - the calculations to accurately determine this intersection are prohibitively expensive.
    This means that for some `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.

    This method object may conservatively return true in cases where the specified rectangular area intersects a segment of the path, but that segment does not represent a boundary between the interior and exterior of the path. Such a case may occur if some set of segments of the path are retraced in the reverse direction such that the two sets of segments cancel each other out without any interior area between them. To determine whether segments represent true boundaries of the interior of the path would require extensive calculations involving all of the segments of the path and the winding rule and are thus beyond the scope of this implementation.

    Specified by:
      `intersects` in interface `Shape`
    Parameters:
      `r` - the specified `Rectangle2D`
    Returns:
      `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.
    Since:
      1.6
    See Also:
      - `Shape.intersects(double, double, double, double)`

  - ### getPathIterator

    public final PathIterator getPathIterator(AffineTransform at, double flatness)
    Returns an iterator object that iterates along the `Shape` boundary and provides access to a flattened view of the `Shape` outline geometry.

    Only SEG_MOVETO, SEG_LINETO, and SEG_CLOSE point types are returned by the iterator.

    If an optional `AffineTransform` is specified, the coordinates returned in the iteration are transformed accordingly.

    The amount of subdivision of the curved segments is controlled by the `flatness` parameter, which specifies the maximum distance that any point on the unflattened transformed curve can deviate from the returned flattened path segments. Note that a limit on the accuracy of the flattened path might be silently imposed, causing very small flattening parameters to be treated as larger values. This limit, if there is one, is defined by the particular implementation that is used.

    Each call to this method returns a fresh `PathIterator` object that traverses the `Shape` object geometry independently from any other `PathIterator` objects in use at the same time.

    It is recommended, but not guaranteed, that objects implementing the `Shape` interface isolate iterations that are in process from any changes that might occur to the original object's geometry during such iterations.

    The iterator for this class is not multi-threaded safe, which means that this `Path2D` class does not guarantee that modifications to the geometry of this `Path2D` object do not affect any iterations of that geometry that are already in process.

    Specified by:
      `getPathIterator` in interface `Shape`
    Parameters:
      `at` - an optional `AffineTransform` to be applied to the coordinates as they are returned in the iteration, or `null` if untransformed coordinates are desired
      `flatness` - the maximum distance that the line segments used to approximate the curved segments are allowed to deviate from any point on the original curve
    Returns:
      a new `PathIterator` that independently traverses a flattened view of the geometry of the `Shape`.
    Since:
      1.6

  - ### clone

    public abstract Object clone()
    Creates a new object of the same class as this object.
    Overrides:
      `clone` in class `Object`
    Returns:
      a clone of this instance.
    Throws:
      `OutOfMemoryError` - if there is not enough memory.
    Since:
      1.6
    See Also:
      - `Cloneable`

  - ### trimToSize

    public abstract void trimToSize()
    Trims the capacity of this Path2D instance to its current size. An application can use this operation to minimize the storage of a path.
    Since:
      10