An Area object stores and manipulates a resolution-independent description of an enclosed area of 2-dimensional space. Area objects can be transformed and can perform various Constructive Area Geometry (CAG) operations when combined with other Area objects. The CAG operations include area addition, subtraction, intersection, and exclusive or. See the linked method documentation for examples of the various operations.
The Area class implements the Shape interface and provides full support for all of its hit-testing and path iteration facilities, but an Area is more specific than a generalized path in a number of ways:
Only closed paths and sub-paths are stored. Area objects constructed from unclosed paths are implicitly closed during construction as if those paths had been filled by the Graphics2D.fill method. The interiors of the individual stored sub-paths are all non-empty and non-overlapping. Paths are decomposed during construction into separate component non-overlapping parts, empty pieces of the path are discarded, and then these non-empty and non-overlapping properties are maintained through all subsequent CAG operations. Outlines of different component sub-paths may touch each other, as long as they do not cross so that their enclosed areas overlap. The geometry of the path describing the outline of the Area resembles the path from which it was constructed only in that it describes the same enclosed 2-dimensional area, but may use entirely different types and ordering of the path segments to do so.
Interesting issues which are not always obvious when using the Area include:
Creating an Area from an unclosed (open) Shape results in a closed outline in the Area object. Creating an Area from a Shape which encloses no area (even when "closed") produces an empty Area. A common example of this issue is that producing an Area from a line will be empty since the line encloses no area. An empty Area will iterate no geometry in its PathIterator objects. A self-intersecting Shape may be split into two (or more) sub-paths each enclosing one of the non-intersecting portions of the original path. An Area may take more path segments to describe the same geometry even when the original outline is simple and obvious. The analysis that the Area class must perform on the path may not reflect the same concepts of "simple and obvious" as a human being perceives.
An Area object stores and manipulates a resolution-independent description of an enclosed area of 2-dimensional space. Area objects can be transformed and can perform various Constructive Area Geometry (CAG) operations when combined with other Area objects. The CAG operations include area addition, subtraction, intersection, and exclusive or. See the linked method documentation for examples of the various operations. The Area class implements the Shape interface and provides full support for all of its hit-testing and path iteration facilities, but an Area is more specific than a generalized path in a number of ways: Only closed paths and sub-paths are stored. Area objects constructed from unclosed paths are implicitly closed during construction as if those paths had been filled by the Graphics2D.fill method. The interiors of the individual stored sub-paths are all non-empty and non-overlapping. Paths are decomposed during construction into separate component non-overlapping parts, empty pieces of the path are discarded, and then these non-empty and non-overlapping properties are maintained through all subsequent CAG operations. Outlines of different component sub-paths may touch each other, as long as they do not cross so that their enclosed areas overlap. The geometry of the path describing the outline of the Area resembles the path from which it was constructed only in that it describes the same enclosed 2-dimensional area, but may use entirely different types and ordering of the path segments to do so. Interesting issues which are not always obvious when using the Area include: Creating an Area from an unclosed (open) Shape results in a closed outline in the Area object. Creating an Area from a Shape which encloses no area (even when "closed") produces an empty Area. A common example of this issue is that producing an Area from a line will be empty since the line encloses no area. An empty Area will iterate no geometry in its PathIterator objects. A self-intersecting Shape may be split into two (or more) sub-paths each enclosing one of the non-intersecting portions of the original path. An Area may take more path segments to describe the same geometry even when the original outline is simple and obvious. The analysis that the Area class must perform on the path may not reflect the same concepts of "simple and obvious" as a human being perceives.
(->area)
(->area s)
Constructor.
The Area class creates an area geometry from the specified Shape object. The geometry is explicitly closed, if the Shape is not already closed. The fill rule (even-odd or winding) specified by the geometry of the Shape is used to determine the resulting enclosed area.
s - the Shape from which the area is constructed - java.awt.Shape
throws: java.lang.NullPointerException - if s is null
Constructor. The Area class creates an area geometry from the specified Shape object. The geometry is explicitly closed, if the Shape is not already closed. The fill rule (even-odd or winding) specified by the geometry of the Shape is used to determine the resulting enclosed area. s - the Shape from which the area is constructed - `java.awt.Shape` throws: java.lang.NullPointerException - if s is null
(add this rhs)
Adds the shape of the specified Area to the shape of this Area. The resulting shape of this Area will include the union of both shapes, or all areas that were contained in either this or the specified Area.
// Example:
Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]);
Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]);
a1.add(a2);
a1(before) a2 = a1(after)
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rhs - the Area to be added to the current shape - java.awt.geom.Area
throws: java.lang.NullPointerException - if rhs is null
Adds the shape of the specified Area to the shape of this Area. The resulting shape of this Area will include the union of both shapes, or all areas that were contained in either this or the specified Area. // Example: Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]); Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]); a1.add(a2); a1(before) a2 = a1(after) ################ ################ ################ ############## ############## ################ ############ ############ ################ ########## ########## ################ ######## ######## ################ ###### ###### ###### ###### #### #### #### #### ## ## ## ## rhs - the Area to be added to the current shape - `java.awt.geom.Area` throws: java.lang.NullPointerException - if rhs is null
(clone this)
Returns an exact copy of this Area object.
returns: Created clone object - java.lang.Object
Returns an exact copy of this Area object. returns: Created clone object - `java.lang.Object`
(contains this p)
(contains this x y)
(contains this x y w 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.
x - the X coordinate of the upper-left corner of the specified rectangular area - double
y - the Y coordinate of the upper-left corner of the specified rectangular area - double
w - the width of the specified rectangular area - double
h - the height of the specified rectangular area - double
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. - boolean
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. x - the X coordinate of the upper-left corner of the specified rectangular area - `double` y - the Y coordinate of the upper-left corner of the specified rectangular area - `double` w - the width of the specified rectangular area - `double` h - the height of the specified rectangular area - `double` 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. - `boolean`
(create-transformed-area this t)
Creates a new Area object that contains the same geometry as this Area transformed by the specified AffineTransform. This Area object is unchanged.
t - the specified AffineTransform used to transform the new Area - java.awt.geom.AffineTransform
returns: a new Area object representing the transformed
geometry. - java.awt.geom.Area
throws: java.lang.NullPointerException - if t is null
Creates a new Area object that contains the same geometry as this Area transformed by the specified AffineTransform. This Area object is unchanged. t - the specified AffineTransform used to transform the new Area - `java.awt.geom.AffineTransform` returns: a new Area object representing the transformed geometry. - `java.awt.geom.Area` throws: java.lang.NullPointerException - if t is null
(empty? this)
Tests whether this Area object encloses any area.
returns: true if this Area object
represents an empty area; false otherwise. - boolean
Tests whether this Area object encloses any area. returns: true if this Area object represents an empty area; false otherwise. - `boolean`
(equals this other)
Tests whether the geometries of the two Area objects are equal. This method will return false if the argument is null.
other - the Area to be compared to this Area - java.awt.geom.Area
returns: true if the two geometries are equal;
false otherwise. - boolean
Tests whether the geometries of the two Area objects are equal. This method will return false if the argument is null. other - the Area to be compared to this Area - `java.awt.geom.Area` returns: true if the two geometries are equal; false otherwise. - `boolean`
(exclusive-or this rhs)
Sets the shape of this Area to be the combined area of its current shape and the shape of the specified Area, minus their intersection. The resulting shape of this Area will include only areas that were contained in either this Area or in the specified Area, but not in both.
// Example:
Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]);
Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]);
a1.exclusiveOr(a2);
a1(before) xor a2 = a1(after)
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rhs - the Area to be exclusive ORed with this Area. - java.awt.geom.Area
throws: java.lang.NullPointerException - if rhs is null
Sets the shape of this Area to be the combined area of its current shape and the shape of the specified Area, minus their intersection. The resulting shape of this Area will include only areas that were contained in either this Area or in the specified Area, but not in both. // Example: Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]); Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]); a1.exclusiveOr(a2); a1(before) xor a2 = a1(after) ################ ################ ############## ############## ## ## ############ ############ #### #### ########## ########## ###### ###### ######## ######## ################ ###### ###### ###### ###### #### #### #### #### ## ## ## ## rhs - the Area to be exclusive ORed with this Area. - `java.awt.geom.Area` throws: java.lang.NullPointerException - if rhs is null
(get-bounds this)
Returns a bounding Rectangle that completely encloses this Area.
The Area class will attempt to return the tightest bounding box possible for the Shape. The bounding box will not be padded to include the control points of curves in the outline of the Shape, but should tightly fit the actual geometry of the outline itself. Since the returned object represents the bounding box with integers, the bounding box can only be as tight as the nearest integer coordinates that encompass the geometry of the Shape.
returns: the bounding Rectangle for the
Area. - java.awt.Rectangle
Returns a bounding Rectangle that completely encloses this Area. The Area class will attempt to return the tightest bounding box possible for the Shape. The bounding box will not be padded to include the control points of curves in the outline of the Shape, but should tightly fit the actual geometry of the outline itself. Since the returned object represents the bounding box with integers, the bounding box can only be as tight as the nearest integer coordinates that encompass the geometry of the Shape. returns: the bounding Rectangle for the Area. - `java.awt.Rectangle`
(get-bounds-2-d this)
Returns a high precision bounding Rectangle2D that completely encloses this Area.
The Area class will attempt to return the tightest bounding box possible for the Shape. The bounding box will not be padded to include the control points of curves in the outline of the Shape, but should tightly fit the actual geometry of the outline itself.
returns: the bounding Rectangle2D for the
Area. - java.awt.geom.Rectangle2D
Returns a high precision bounding Rectangle2D that completely encloses this Area. The Area class will attempt to return the tightest bounding box possible for the Shape. The bounding box will not be padded to include the control points of curves in the outline of the Shape, but should tightly fit the actual geometry of the outline itself. returns: the bounding Rectangle2D for the Area. - `java.awt.geom.Rectangle2D`
(get-path-iterator this at)
(get-path-iterator this at flatness)
Creates a PathIterator for the flattened outline of this Area object. Only uncurved path segments represented by the SEG_MOVETO, SEG_LINETO, and SEG_CLOSE point types are returned by the iterator. This Area object is unchanged.
at - an optional AffineTransform to be applied to the coordinates as they are returned in the iteration, or null if untransformed coordinates are desired - java.awt.geom.AffineTransform
flatness - 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 - double
returns: the PathIterator object that returns the
geometry of the outline of this Area, one segment
at a time. - java.awt.geom.PathIterator
Creates a PathIterator for the flattened outline of this Area object. Only uncurved path segments represented by the SEG_MOVETO, SEG_LINETO, and SEG_CLOSE point types are returned by the iterator. This Area object is unchanged. at - an optional AffineTransform to be applied to the coordinates as they are returned in the iteration, or null if untransformed coordinates are desired - `java.awt.geom.AffineTransform` flatness - 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 - `double` returns: the PathIterator object that returns the geometry of the outline of this Area, one segment at a time. - `java.awt.geom.PathIterator`
(intersect this rhs)
Sets the shape of this Area to the intersection of its current shape and the shape of the specified Area. The resulting shape of this Area will include only areas that were contained in both this Area and also in the specified Area.
// Example:
Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]);
Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]);
a1.intersect(a2);
a1(before) intersect a2 = a1(after)
################ ################ ################
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rhs - the Area to be intersected with this Area - java.awt.geom.Area
throws: java.lang.NullPointerException - if rhs is null
Sets the shape of this Area to the intersection of its current shape and the shape of the specified Area. The resulting shape of this Area will include only areas that were contained in both this Area and also in the specified Area. // Example: Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]); Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]); a1.intersect(a2); a1(before) intersect a2 = a1(after) ################ ################ ################ ############## ############## ############ ############ ############ ######## ########## ########## #### ######## ######## ###### ###### #### #### ## ## rhs - the Area to be intersected with this Area - `java.awt.geom.Area` throws: java.lang.NullPointerException - if rhs is null
(intersects this r)
(intersects this x y w 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.
x - the X coordinate of the upper-left corner of the specified rectangular area - double
y - the Y coordinate of the upper-left corner of the specified rectangular area - double
w - the width of the specified rectangular area - double
h - the height of the specified rectangular area - double
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. - boolean
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. x - the X coordinate of the upper-left corner of the specified rectangular area - `double` y - the Y coordinate of the upper-left corner of the specified rectangular area - `double` w - the width of the specified rectangular area - `double` h - the height of the specified rectangular area - `double` 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. - `boolean`
(polygonal? this)
Tests whether this Area consists entirely of straight edged polygonal geometry.
returns: true if the geometry of this
Area consists entirely of line segments;
false otherwise. - boolean
Tests whether this Area consists entirely of straight edged polygonal geometry. returns: true if the geometry of this Area consists entirely of line segments; false otherwise. - `boolean`
(rectangular? this)
Tests whether this Area is rectangular in shape.
returns: true if the geometry of this
Area is rectangular in shape; false
otherwise. - boolean
Tests whether this Area is rectangular in shape. returns: true if the geometry of this Area is rectangular in shape; false otherwise. - `boolean`
(reset this)
Removes all of the geometry from this Area and restores it to an empty area.
Removes all of the geometry from this Area and restores it to an empty area.
(singular? this)
Tests whether this Area is comprised of a single closed subpath. This method returns true if the path contains 0 or 1 subpaths, or false if the path contains more than 1 subpath. The subpaths are counted by the number of SEG_MOVETO segments that appear in the path.
returns: true if the Area is comprised
of a single basic geometry; false otherwise. - boolean
Tests whether this Area is comprised of a single closed subpath. This method returns true if the path contains 0 or 1 subpaths, or false if the path contains more than 1 subpath. The subpaths are counted by the number of SEG_MOVETO segments that appear in the path. returns: true if the Area is comprised of a single basic geometry; false otherwise. - `boolean`
(subtract this rhs)
Subtracts the shape of the specified Area from the shape of this Area. The resulting shape of this Area will include areas that were contained only in this Area and not in the specified Area.
// Example:
Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]);
Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]);
a1.subtract(a2);
a1(before) - a2 = a1(after)
################ ################
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rhs - the Area to be subtracted from the current shape - java.awt.geom.Area
throws: java.lang.NullPointerException - if rhs is null
Subtracts the shape of the specified Area from the shape of this Area. The resulting shape of this Area will include areas that were contained only in this Area and not in the specified Area. // Example: Area a1 = new Area([triangle 0,0 => 8,0 => 0,8]); Area a2 = new Area([triangle 0,0 => 8,0 => 8,8]); a1.subtract(a2); a1(before) - a2 = a1(after) ################ ################ ############## ############## ## ############ ############ #### ########## ########## ###### ######## ######## ######## ###### ###### ###### #### #### #### ## ## ## rhs - the Area to be subtracted from the current shape - `java.awt.geom.Area` throws: java.lang.NullPointerException - if rhs is null
(transform this t)
Transforms the geometry of this Area using the specified AffineTransform. The geometry is transformed in place, which permanently changes the enclosed area defined by this object.
t - the transformation used to transform the area - java.awt.geom.AffineTransform
throws: java.lang.NullPointerException - if t is null
Transforms the geometry of this Area using the specified AffineTransform. The geometry is transformed in place, which permanently changes the enclosed area defined by this object. t - the transformation used to transform the area - `java.awt.geom.AffineTransform` throws: java.lang.NullPointerException - if t is null
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