ostrat.geom

A class that can transform itself in 2d geometry and can preserve its type across all affine transformations. This is a key trait, the object can be transformed in 2 dimensional space. Leaf classes must implement the single method fTrans(f: Vec2 => Vec2): T. The related trait TransDistable does the same for fTrans(f: Dist2 => Dist2): T.

The type class trait for transforming an object in 2d geometry. Note overrides necessary to preserve type.

The companion object for the Trans[T] type class, containing instances for common classes.

Angle of inclination. Its particularly important not to use this class to represent Latitudes as the Angle class has a normal range 0 <= a < 360 degrees, while Latitudes have a normal range +- 90 degrees. Unlike AngleVec this class has no multiply or divide, * or / methods. It has add and subtract, + and - methods, but these take AngleVecs as operands not other Angles. To Add,subtract or scale angles of inclination would make no sense.

Angle Companion object.

Base trait for Angle, AngleVec, Latitude and Longitude.

Angle vector, an angle of rotation. Values may be greater than 360 degrees and less than -360 degrees. Negative values represent clockwise rotation. So +720 degrees represents 2 complete anti-clockwise rotations, -1080 degrees represents 3 clockwise rotations.

Companion object for AngleVec trait contains factory methods.

Efficient Immutable Array[Double] based collection class, with the Angle values stored as arc seconds.

Companion object for Angles class.

To be removed.

This provides factory methods to create an ArcTail. There is no independent ArcTail class. This is one of 3 factory objects to CurveTail.

Object for producing arrow graphics to point at objects in diagrams.

This is a trait for geometric elements, GeomElems, that don't need special axes method implementations.

Indicates the back mouse button was pressed.

Baseline style for text.

Companion object for BaseLine trait, contains the object value instances of the trait.

Cubic bezier curve.

Functional class for Drawing a cubic Bezier curve.

Companion object for the BezierDraw class.

This provides factory methods to create a Bezier tail. There is no independent BezierTail class. This is one of 3 factory objects to CurveTail.

A 2D geometric element, that has a defined bounding rectangle, BoundingRect. This trait is for layout, such as placing Graphic elements in rows and columns. It includes polygon and shape graphics but not line and curve graphics.

An intermediate class for describing the vertical / horrisontal bounding rectangle for a Polygon or Shape. Defined by 4 Double values.

A specialised flat ArrayBuffer[Double] based class for Pt2s collections.

A specialised flat ArrayBuffer[Double] based class for PtM2s collections.

A specialised flat ArrayBuffer[Double] based class for Pt3s collections.

Circular arc. Has a rotation counter to allow rotation deltas greater than 360 degrees and less than - 360 degrees. The CArc is intended to function as closely as possible to the functioning of CArcTails in a curve path. Hence the decision to store the three points as fields rather using the AngleVec of the arc which would allow less data. This is to avoid calculation /rounding errors in the start and end points, which will be used by other CurveSegs in curve paths.

Companion object of CArc class, contains various factory methods for the construction of circular arcs.

A canvas element that can be rendered by the pgui.CanvasPlatform API. This trait is not sealed, but should not be extended outside of the library.

Companion object for the DisplayElem trait. Contains Implicit instances for 2d geometrical transformation type-classes.

ShapeFill element that is a CanvElem

A 2D geometric element with a defined centre.

Circle class is defined by its centre and radius. It fulfills the interface for an Ellipse.

This is the companion object for the Circle case class. It provides factory methods for creating Circles.

Compound Circle Graphic class.

A simple draw of a circle graphic.

A simple single colour fill of a circle graphic.

A circle based Graphic, may be simple or compound.

A Simple circle based graphic. Not sure if this trait is useful.

This just a temporary start.

A segment of a curve that could be used in a closed shape or curve path. The names start and end are used in CurveSeg and its sub classes to provide consistent naming across line segments LineSegs, circular arcs CArcs, elliptical arcs EArcs and Square and cubic beziers Beziers, which require different numbers of points in their specification.

This class needs replacing.

Graphic based on a CurveSeg.

A CurveSeg can be a line segment or an arc segment or a bezier segment without its starting point, which is supplied by the previous curveTail. It takes its start point from the pEnd of the previous segment. There is no CurveSeg companion object as the LineSeg, ArcSeg and BezierSeg all have their own factory object apply methods.

This class will be replaced but extends CanvElem as a temporary measure.

Needs removing. A base trait for DistCurveSeg and DistCurveTail and their associated GraphicElemsDist (these haven't been implemented or precisely named yet).

Needs removing. A curve segment tail described in distance units rather than scalars. A DistCurveSeg without its starting point which will normally be supplied by the preceding DistCurveTail.

Extension methods class for Double, for the geom package.

A 2D geometric element that can be drawn producing a GraphicElem.

Companion object for the Drawable trait contains implicit instances for various 2D geometric transformation type classes.

Elliptical Arc. the trait has 2 implementations CArc and EArc.EArcImp.

2D graphic that draws an arc of an ellipse. The trait has 2 implementations, CArcdraw, a cirular arc draw and the general case is implemented with EArcDraw.EArcDrawImp.

Companion object ofr the EArcDraw trait, contins the general implementation class EArcDrawImp and an apply factor method that delegates to EArcDrawImp.

An arc based on an ellipse whose axes are aligned to the X and Y axes. This is a trait as the EArclign.EArclignImp and CArc classes both fulfill this interface.

Companion object for EArclign trait, an arc that is based on Ellipse aligned to the X and Y axes.

The Ellipse trait can either be implemented as an Ellipse class or as a Circle. Which also fulfills the Ellipse interface. The factory methods in the Ellipse companion object return [Ellipse]].

Companion object for the Ellipse trait contains the EllipseImp implementation class and factory methods for Ellipse that delegate to EllipseImp.

Common trait for Ellipse and EArc. The main purpose of this trait is not to share code, but to establish naming conventions for elliptical properties.

Compound graphic trait for an ellipse. The final sub classes of this trait are CircleCompound andEllipse.EllipseImp.

Companion object for the EllipseCompound trait contains factory apply method and implicit instances for the 2D geometric transformations.

A simple single colour fill of a circle graphic.

Companion object for the EllipseFill class.

An Ellipse based Graphic. The Ellipse can be defined as a circle.

A Simple circle based graphic. Not sure if this trait is useful.

An ellipse whose axes are aligned to the X and Y axes. This is a trait as both Circle and Ellipselign.EllipselignImp classes implement this interface.

Starting off with simplified. Radial Gradient. Will expand later.

A 2D geometric element that can be drawn and filled producing GraphicElems.

Indicates the forward mouse button was pressed.

A 2D geometric element to which 2D geometric transformations can be applied. Not all elements preserve their full properties under all transformations. So for example a Circle is no longer a Circle after a Shear transformation, but remains an Ellipse. GraphicElem inherits from GeomElem. A Circle is not a GraphicElem but if we add a fill colour to make a CircleFill, or a line width and line colour to it, we have a GraphicElem a graphical element that can be displayed on a canvas or output to SVG. It is expected that all elements that inherit from GeomElem that are not GraphicElems will be Drawable elements, but this has not been finalised.

Companion object for the GeomElem trait. Contains implicit instances of type GeomElem for all the 2D geometric transformation type classes.

This trait will be removed. The base trait for all objects that can have mouse / touch pad interaction.

The base trait for all objects that can have mouse / touch pad interaction.

A DisplayElem for which all leaf elements of this trait maintain their type through all affine transformation. This type is purely for the convenience of using the fTrans method to perform all the affine transformations. It is not a useful user type hence it has no type class instances associated with it.

This trait is for layout. For placing Display elements in rows and columns. It includes PolygonGraphic and ShapeGraphics but not Line and Curve graphics.

Companion object for the BoundedGraphic trait. Contains Implicit instances for 2d geometrical transformation type-classes.

This trait is for layout. For placing Display elements in rows and columns. It includes polygon and shape graphics but not line and curve graphics.

This trait is for layout. For placing Display elements in rows and columns. It includes polygon and shape graphics but not line and curve graphics.

This is the new active trait that will replace GraphicActive.

This will be sealed in due course. A graphic element is either an element that can be rendered to a display (or printed) or is an active element in a display or both. So I think the self type will force all GraphicElems to extend CanvElem or NoCanvElem.

Companion object for the DisplayElem trait. Contains Implicit instances for 2d geometrical transformation type-classes.

This is an active visual canvas object. A pointable polygon / shape with visual, that also knows how much display space it needs and preferred margin space. Not sure about the name. not sure if the trait is useful.

A DisplayElem for which all leaf elements of this trait maintain their type through all similar transformation. This type is purely for the convenience of using the fTrans method to perform all the Similar transformations. It is not a useful user type hence it has no type class instances associated with it.

GraphicSimple is a non compound graphic element that can be rendered to a display (or printed) or is an active element in a display, but can't be both that require a GraphicCompound.

Companion object for the GraphicSimple trait. Contains Implicit instances for 2d geometrical transformation type-classes.

XML attribute for height.

Regular Hexagon where two of the sides are parallel to the X Axis

Companion object for the regular hexagon aligned to the X Axis class. It has a limited set of 2D geometric transformation type class instances as the type can not be maintained through all affine transformations.

Regular Hexagon where two of the sides are parallel to the Y Axis. This will be the standard Hex for the Tiling module.

Companion object for the regular hexagon aligned to the Y Axis class. It has a limited set of 2D geometric transformation type class instances as the type can not be maintained through all affine transformations.

Regular Hexagon

Companion object for HegReg trait, contains HexRegImp implementation case for the general case of regular Hexagons.

A regular Hexagon aligned to the X and Y axes.

Extension methods class for Int, for the geom package.

Indicates the left mouse button was pressed.

An infinite length 2 dimensional straight line trait. Note this is the mathematical definition of a line. In SVG and other APIs the name line is used for a line segment, which in openstrat is called a LineSeg

Efficient expandable buffer for Line2s.

Common base trait for Line, LineSeg and Ray.

Array[Double] based collection class for a LinePath. Conversion to and from the Vec2s class and Polygon class should not entail a runtime cost.

Companion object for LinePath contains apply factory object and Persist type class instance.

A type class for the building of efficient compact Immutable Arrays. Instances for this type class for classes / traits you control should go in the companion object of B not the companion object of BB. This is different from the related ArrBinder[BB] type class where instance should go into the BB companion object. The type parameter is named B rather than A, because normally this will be found by an implicit in the context of a function from A => B or A => M[B]. The methods of this trait mutate and therefore must be used with care. Where ever possible they should not be used directly by end users.

Trait for creating the line path type class instances for LinePathDbl2s final classes. Instances for the LinePathDbl2sBuilder type class, for classes / traits you control, should go in the companion object of type B, which will extend ElemDbl2. The first type parameter is called B, because it corresponds to the B in map[B](f: A => B)(implicit build: ArrTBuilder[B, ArrB]): ArrB function.

Trait for creating the line path type class instances for LinePathDbl3s final classes. Instances for the LinePathDbl3sBuilder type class, for classes / traits you control, should go in the companion object of type B, which will extend ElemDbl3. The first type parameter is called B, because it corresponds to the B in map[B](f: A => B)(implicit build: ArrTBuilder[B, ArrB]): ArrB function.

Trait for creating the builder type class instances for LinePathDblNs final classes. Instances for the LinePathBuilder type class, for classes / traits you control, should go in the companion object of B. The first type parameter is called B, because to corresponds to the B in map(f: A => B): ArrB function.

A quasi line path specified in 2D metre points. The points do not have to lie within the same plane. I'm not sure how useful this class will prove. It has been created for the intermediary step of converting from LinePathLLs to LinePathMetres on world maps.

Companion object for LinePathM3s. Contains apply factory method fromArrayDbl and Persist Implicit.

A quasi line path specified in 3D metre points. The points do not have to lie within the same plane. I'm not sure how useful this class will prove. It has been created for the intermediary step of converting from LinePathLLs to LinePathMetres on world maps.

Companion object for LinePathM3s. Contains apply factory method fromArrayDbl and Persist Implicit.

Trait for creating the line path builder instances for the LinePathBuilder type class, for classes / traits you control, should go in the companion object of B. The first type parameter is called B, because to corresponds to the B in map(f: A => B): ArrB function.

Straight line segment. A straight line in every day terminology. Mathematically: 2 dimensional directed, line segment. The name was chosen to avoid ambiguity.

Companion object for the LineSeg class. Contains factory apply methods and implicit instances for LineSegs.

A 3 dimensional line segment. A straight line between two points in a 3d space.

Companion object for LineSeg3 contains factory apply methods.

To be removed.

A Graphic for a straight line. It is defined by its start and end points, the line width or thickness and the colour of the line.

A class that is like a LineSeg, includes LineSeg and LineSegMetre. The trait takes the type parameter of the vertex.

A 2 dimensional line segment measured in metres, equivalent of the LineSeg class. A straight line between two points on a 2 dimensional flat surface.

A line segment in 3 dimensional space specified in metres. A straight line between two points in 3D.

Companion object for LineSegMetre3 trait contains apply factory method.

Compact immutable Array[Double] based collection class for LineSegs. LineSeg is the library's term for a mathematical straight line segment, but what in common parlance is often just referred to as a line.

Companion object for the LineSegs class.

This provides factory methods to create a 2 dimensional headless line segment. There is no independent LineTail class. This is one of 3 factory objects to CurveTail.

I think its to better to use the mame lineWidth consistently.

Indicates the middel mouse button was pressed.

A mouse button, used to return events from a graphical user interface.

MultipleButton is needed for completeness for mouse events in js when the Event is NOT instigated by a mouse button.

Indicates no mouse button was pressed.

A graphic element GraphicElem that is not one of the standard canvas elements CanvElem, it must provide a conversion into those standard elements.

This is an object where the boundary points for top left, top right, bottom right and bottom left are defined. This trait is used by some geometric elements as well as pCanv.CanvasPlatform and pCanv.Panel.

A 2D geometric element where the Ordinal edge points, the cardinal edge points and the centre are defined.

Extension class for OrdinaledElems.

Golden rectangle, a rectangle whose side lengths are in the golden ratio, 1 : 1 + 5 2 {\displaystyle 1:{\tfrac {1+{\sqrt {5 }}} {2 }}} 1:{\tfrac {1+{\sqrt {5 }}} {2}}, which is 1 : φ {\displaystyle 1:\varphi } 1:\varphi (the Greek letter phi), where φ {\displaystyle \varphi } \varphi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A method to construct a golden rectangle. Owing to the Pythagorean theorem,[a] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square. {1+{\sqrt {5 }}} approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A method to construct a golden rectangle. Owing to the Pythagorean theorem,[a] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square. {2 }}} {1+{\sqrt {5 }}} {2}}, which is 1 : φ {\displaystyle 1:\varphi } 1:\varphi (the Greek letter phi), where φ {\displaystyle \varphi } \varphi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A method to construct a golden rectangle. Owing to the Pythagorean theorem,[a] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square. {1+{\sqrt {5 }}} approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A method to construct a golden rectangle. Owing to the Pythagorean theorem,[a] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square. Golden rectangle, a rectangle whose side lengths are in the golden ratio, 1 : 1 + 5 2 {\displaystyle 1:{\tfrac {1+{\sqrt {5 }}} {1+{\sqrt {5 }}} {2}}, which is 1 : φ {\displaystyle 1:\varphi } 1:\varphi (the Greek letter phi), where φ {\displaystyle \varphi } \varphi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A method to construct a golden rectangle. Owing to the Pythagorean theorem,[a] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square. {1+{\sqrt {5 }}} approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A method to construct a golden rectangle. Owing to the Pythagorean theorem,[a] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square.

Companion object for the PhiRectangle trait. It contains the PhiRectangle.PhiRectangleImp implementation class an apply factory method that delegates to it.

A pointable shape

So there is a lack of clarity over whether the segs are relative to the cen, and if the cen is needed at all.

A mathematical closed polygon. The general case can be instantiated with PolygonGen, but it provides the interface for particular sub sets of polygons such as triangles and square. Mathematically a closed polygon made up of straight line segments. The default convention is to number the vertices in a clockwise direction, with vertex 1 the first vertex that is clockwise from 12 O'Clock. Sides are numbered in a corresponding manner with then end point of side n sdn at vertex n.

Companion object for the Polygon trait, contains factory apply methods and implicit instances for all 2D affine geometric transformations.

A Polygon with at least 3 vertices. The PolygonNPlus traits include values for the vertices and the x and y components of the vertices. The X and Y components are included because Graphics implementation APIs use them.

A Polygon with at least 4 vertices.

A Polygon with at least 5 vertices.

A Polygon with at least 6 vertices.

A pointable polygon without visual.

A type class for the building of efficient compact Immutable Arrays. Instances for this type class for classes / traits you control should go in the companion object of B not the companion object of BB. This is different from the related ArrBinder[BB] type class where instance should go into the BB companion object. The type parameter is named B rather than A, because normally this will be found by an implicit in the context of a function from A => B or A => M[B]. The methods of this trait mutate and therefore must be used with care. Where ever possible they should not be used directly by end users.

A compound polygon based Graphic. May contain multiple facets and child graphic members.

Companion object for the PolygonCompound trait contains factory apply method and implicit instances for the 2D geometric transformation type classes.

A polygon whose elements are defined by 2 Doubles.

Trait for creating the line path type class instances for PolygonDbl2s final classes. Instances for the PolygonDbl2sBuilder type class, for classes / traits you control, should go in the companion object of type B, which will extend ElemDbl2. The first type parameter is called B, because it corresponds to the B in map[B](f: A => B)(implicit build: ArrTBuilder[B, ArrB]): ArrB function.

A polygon whose elements are defined by 3 Doubles.

Trait for creating the line path type class instances for PolygonDbl3s final classes. Instances for the PolygonDbl3sBuilder type class, for classes / traits you control, should go in the companion object of type B, which will extend ElemDbl3. The first type parameter is called B, because it corresponds to the B in map[B](f: A => B)(implicit build: ArrTBuilder[B, ArrB]): ArrB function.

A polygon whose elements are defined by Doubles.

Trait for creating the builder type class instances for PolygonDblNs final classes. Instances for the PolygonBuilder type class, for classes / traits you control, should go in the companion object of B. The first type parameter is called B, because to corresponds to the B in map(f: A => B): ArrB function.

Immutable Graphic element that defines and draws a Polygon.

Immutable Graphic element that defines and fills a Polygon. This element can be trnsformed through all the Affine transformations and a PolygonFill will be returned.

Companion object for PolygonFill trait. Contains an implementation class PolygonFillImp, a factory method returning the PolygonFill type and implicit instances for the 2D geometric transformation type classes.

The implementation class for a general Polygon as opposed to a specific Polygon such as a Square or a Rectangle, is encoded as a sequence of plain 2 dimension (mathematical) vectors. Minimum length 3. Clockwise is the default. Polygon may be altered to include a centre.

Companion object for PolygonGen.

A Polygon based graphic. If you just want a general polygon as opposed to specifically specified Polygons such as Rectangle, Square or Triangle use the implementation class PolygonCompound.

Companion object for Polygon Graphic, contains implicit instances for the 2D geometric transformations.

This trait may be removed.

Companion object for the PolygonGraphicSimple trait, contains implicit instances for the 2D geometric transformation classes.

A polygon whose elements are defined by 2 ints.

Trait for creating the line path type class instances for PolygonInt2s final classes. Instances for the PolygonInt2sBuilder type class, for classes / traits you control, should go in the companion object of type B, which will extend ElemInt2. The first type parameter is called B, because it corresponds to the B in map[B](f: A => B)(implicit build: ArrTBuilder[B, ArrB]): ArrB function.

A polygon whose elements are defined by Intes.

Trait for creating the builder type class instances for PolygonDblNs final classes. Instances for the PolygonBuilder type class, for classes / traits you control, should go in the companion object of B. The first type parameter is called B, because to corresponds to the B in map(f: A => B): ArrB function.

A Polygon like object, where the points dimensions could be specified in 2D or 3D Length, latitude and longitude etc as well as the regular scalar values of the standard Polygon.

The companion object for PolygonDist. Provides an implicit builder.

A quasi Polygon specified in 3D metre points. This is not a proper polygon as the points do not have to lie within the same plane. I'm not sure how useful this class will prove. It has been created for the intermediary step of converting from LatLongss to PolygonMs on world maps.

Companion object for PolygonM3. Contains apply factory method fromArrayDbl and Persist Implicit.

Trait for creating the line path builder instances for the PolygonBuilder type class, for classes / traits you control, should go in the companion object of B. The first type parameter is called B, because to corresponds to the B in map(f: A => B): ArrB function.

Companion object for the Polygons class.

Type class for Prolign transformations. These are proportionate and aligned to X and Y axes transformations. This transformation set preserves Circles and Squares. It also preserves the alignment of Squares and Rectangle to the axes.

Companion object for the Prolign type class.

A matrix for proportionate and aligned to X and Y axes transformations. This transformation set preserves Circles and Squares. It also preserves the alignment of Squares and Rectangle to the axes.

Companion object for Prolign Matrices.

A class that can preserve its type through all the Prolign, proportionate XY axes aligned transformations, using a Pt2 => Pt2 function. These are translate Slate, Scale and negX and negY, the TransAxes, transformations.

A 2 dimensional point. Pt2s can be transformed through the 2D geometric transformations. If you wish to encode a relative position then use a Vec2 instead. Thanks to René Descartes for this.

Companion object for Pt2. Contains apply factory and unapply methods. Persist and EqT implicit type classes instances and instances for all the 2D geometric transformation type classes.

The default Array[Double] based collection class for Pt2s. Use Polygon or LinePath to represent those structures. Conversion to and from Polygon class and LinePath class should not entail a runtime cost.

Companion object for the Pt2s sequence class. Contains factory apply method and implicit instances for a number of type classes.

The purpose of this trait is to provide the helper method for Vec2 transformations.

A 3 dimensional point. Right-handed coordinate system is the default.

Companion object for Pt3 class. Contains apply, unapply factory methods and Persist type class instance.

A specialised flat ArrayBuffer[Double] based class for Pt3s collections.

An immutable flat efficient Array backed sequence collection class of 3 dimensional points. This is the default collection class for [Pt3]s.

A 2 dimensional point specified in Length as units rather than pure scalar numbers.

Companion object for PtM2 class contains factory methods.

3 dimensional point specified using metres Length as units rather than pure numbers. The Letter M was used rather L for Length to avoid confusion with the LL ending which is short for Latitude-longitude.

Companion object for the [[PtM3] class. the 3D point measure in metres length.

Specialised immutable Array based collection class for PtM2s.

Companion object for the PtMetre2Arr class. Contains implicit Instance for Persist type class.

Collection class for Pt3s. Only use this if the more specific PolygonM andLinePathMs classes are not appropriate.

Geometrical Ray.

Companion object for the Ray class, contains apply factory methods.

A Rectangle aligned to the X and Y axes.

Companion object for the Rect trait contains factory methods for the Rect trait which delegate to the RectImp class.

A rectangular object aligned with the X and Y axes and centred on x = 0, y = 0. Sub traits include Rectangle and pCanv.Panel.

This is a compound graphic based on a Rect shape. A rectangle aligned to the X and Y axes.

Companion object for the RectCompound trait, contains implicit instances for 2D geometric transformation type classes.

A rectangular Graphic aligned to the axes, filled with a single colour.

Companion object for the RectFill trait, contains a RectFillImp implementation class and an apply method that delegates to it.

A graphic based on a [[Rect], a rectangle aligned to the X and Y axes.

A simple non-compound graphic based on a [[Rect], a rectangle aligned to the X and Y axes.

Rectangle that is in part specified by points s2Cen and s4Cen. This is the Square.SquareImp and Rect.RectImp classes. This trait is purely for implementation. It does not have value as a library user interface type.

The Rectangle trait defines 4 vertices v0, v1, v2 and v3. The leaf classes of this class may or may not be squares and may or may not be aligned to the X and Y Axes. You can build a Rectangle using the factory methods in the Rectangle companion object. However if your rectangle is a aligned to the X and Y axis prefer the factory methods on the companion object of the shorter named Rect trait.

Companion object fot the Rectangle trait. Contains Rectangle.RectangleImp the implementation class for non specialised rectangles. It also contains various factory methods that delegate to the Rectangle.RectangleImp class.

A compound graphic for rectangles.

Companion object for RectangleCompound. Conatains the RectangleCompound.RectangleCompoundImp implementatin class for the general case of Rectangles and an apply factor method that delegats to it.

Graphic that draws a rectangle.

Companion object for RectangleDraw contains factory method and implementation class.

Graphic to fill a Rectangle with a single colour.

Companion object for RectangleFill, contains an Implementation class RectangleFill.RectangleFillImp and an apply factor method that delegates to it. It also contains implicit instances for 2D geometric transformations.