PolygonGen

The most narrow type preserved in some 2d geometric transformations.

This canEqual override allow the comparison of Shapes.

Draws this geometric element to produce a GraphElem graphical element, tht can be displayed or printed.

Returns a fill graphic of this geometric object.

Insert vertex.

Insert vertices

A method to perform all the ProlignPreserve transformations with a function from PT2 => PT2.

String specifying the type of this object.

The number of vertices and also the number of sides in this Polygon.

A function that takes a 2D geometric transformation on a Pt2 as a parameter and performs the transformation on all the vertices returning a new transformed Polygon

Builder helper method that provides a longer array, with the underlying array copied into the new extended Array.

The centre of the bounding rectangle. consider also using cenDefault.

Currently throws, not sure if that is the correct behaviour. Creates a bounding rectangle for a collection of 2d points

The width of the BoundingRect of this object.

If the geometric element has a defined centre then the cenDefault uses that, else it defaults to the centre of the bounding rectangle.

The centre point of this Polygon. The default centre for Polygons is the centre of the bounding rectangle.

Utility method to append element on to an ArrayBuffer[Double]. End users should rarely need to use this method.

The number of atomic values, Ints, Doubles, Longs etc that specify / construct an element of this immutable flat Array based collection class.

The element String allows the composition of toString for the whole collection. The syntax of the output will be reworked.

Creates a PolygonCompound graphic that is active with a simple 1 colour fill and has a draw graphic for the Polygon. The default values for the draw area line width of 2 and a colour of Black.

Returns a fill and draw graphic of this geometric object.

Returns a fill graphic of this geometric object from the Int RGBA value.

foreachs over the sides or edges of the Polygon These are of type LineSeg.

Map this collection of data elements to PolygonLike class of type BB.

Mirror, reflection 2D geometric transformation across the Y axis by negating X. The return type will be narrowed in sub traits / classes.

Mirror, reflection 2D geometric transformation across the X axis by negating y. The return type will be narrowed in sub traits / classes.

2D Transformation using a ProlignMatrix. The return type will be narrowed in sub classes / traits.

Determines if the parameter point lies inside this Polygon.

Reflect 2D geometric transformation across a line, line segment or ray on a GeomElem. The return type will be narrowed in sub classes and traits.

Rotation 2D geometric transformation on a GeomElem. The return type will be narrowed in sub classes and traits.

Rotation of 180 degrees, 2D geometric transformation on a GeomElem, returns a GeomElem. The return type will be narrowed in sub classes and traits.

Rotation positive or anti clockwise 270 degrees, 2D geometric transformation on a GeomElem, returns a GeomElem. The return type will be narrowed in sub classes and traits.

Rotation positive or anti clockwise 90 degrees, 2D geometric transformation on a GeomElem, returns a GeomElem. The return type will be narrowed in sub classes and traits.

Uniform 2D geometric scaling transformation. The scale name was chosen for this operation as it is normally the desired operation and preserves Circles and Squares. Use the xyScale method for differential scaling. The Return type will be narrowed in sub traits / classes.

Scaling X and Y axes independently, 2D geometric transformation on this GeomElem, returns a new GeomElem. This allows different scaling factors across X and Y dimensions. The return type will be narrowed in sub classes and traits. This is an affine transformation but it is not a similar transformation.

The centre or half way point of side 0 of this polygon. Side 0 starts at the vertex v0 and ends at the vertex v1. This can be thought of as vertex 0.5.

The X component of the centre or half way point of side 0 of this polygon.

The Y component of the centre or half way point of side 0 of this polygon.

Shear 2D geometric transformation along the X Axis on a GeomElem. The return type will be narrowed in sub classes and traits. This is an affine transformation but it is not a similar transformation.

Shear 2D geometric transformation along the Y Axis on a GeomElem. The return type will be narrowed in sub classes and traits. This is an affine transformation but it is not a similar transformation.

Polygon side 0 from vertex 0 to vertex 1.

foreachs over the sides or edges of the Polygon These are of type LineSeg.

maps with a integer counter over the sides or edges of the Polygon These are of type LineSeg.

maps with a integer counter over the sides or edges of the Polygon These are of type LineSeg.

maps over the sides or edges of the Polygon These are of type LineSeg.

Translate geometric transformation on a Polygon returns a Polygon. The return type of this method will be narrowed further in most descendant traits / classes. The exceptions being those classes where the centring of the geometry at the origin is part of the type.

Translate 2D geometric transformation, taking the xOffset and yOffset as parameters on this GeomElem returning a GeomElem. The Return type will be narrowed in sub traits. End users will often want to use the slate method taking a Pt2 or Vec2 as a parameter, the slateX or the slateY methods. These methods will be offered as extension methods using this method for their implementations.

Method for creating new specifying sequence elements from 2 Doubles In the case of Dbl2Arr this will be thee type of the elements of the sequence.

Checks if 2 values of the specifying sequence are equal.

specifying -sequence fold.

Performs a side effecting function on each element of the specifying sequence in order.

Index with foreach on the data elements. Performs a side effecting function on the index and each element of the data sequence. It takes a function as a parameter. The function may return Unit. If it does return a non Unit value it is discarded. The [U] type parameter is there just to avoid warnings about discarded values and can be ignored by method users. The method has 2 versions / name overloads. The default start for the index is 0 if just the function parameter is passed. The second version name overload takes an Int for the first parameter list, to set the start value of the index. Note the function signature follows the foreach based convention of putting the collection element 2nd or last as seen for example in fold methods' (accumulator, element) => B signature.

Index with foreach on the the specifying sequence elements. Performs a side effecting function on the index and each element of the specifying sequence. It takes a function as a parameter. The function may return Unit. If it does return a non Unit value it is discarded. The [U] type parameter is there just to avoid warnings about discarded values and can be ignored by method users. The method has 2 versions / name overloads. The default start for the index is 0 if just the function parameter is passed. The second version name overload takes an Int for the first parameter list, to set the start value of the index. Note the function signature follows the foreach based convention of putting the collection element 2nd or last as seen for example in fold methods' (accumulator, element) => B signature.

Accesses the specifying sequence element by a 0 based index.

Last element of the specifying sequence.

The number of product elements in this collection. For example in a [[PolygonImp], this is the number of Pt2s in the Polygon

Specialised map to an immutable Arr of B. For Sequ dataMap is the same as map, but for other structures it will be different, for example a PolygonLike will map to another PolygonLike.

Reverses the order of the elements of the specifying sequence.

Performs a side effecting function on each element of the specifying-sequence in reverse order. The function may return Unit. If it does return a non Unit value it is discarded. The [U] type parameter is there just to avoid warnings about discarded values and can be ignored by method users.

FoldLeft over the tail of the specifying sequence.

Foreachs over the tail of the specifying sequence. Performs a side effecting function on each element of the tail of the specifying sequence in order.

Returns a string representation of the object.

The default representation is platform dependent.

Maps the 1st Double of each element to a new Array[Double], copies the 2nd elements.

Maps the 2nd Double of each element with the parameter function to a new Array[Double], copies the 1st Double of each element.

The total number of atomic values, Ints, Doubles, Longs etc in the backing Array.

Maps the 2 Doubles of each element to a new Array[Double].

Reverses the order of the elements in a new Array[Double] which is returned.

Sets / mutates an element in the Arr. This method should rarely be needed by end users, but is used by the initialisation and factory methods.

Sets / mutates elements in the Arr. This method should rarely be needed by end users, but is used by the initialisation and factory methods.

Returns the vertex of the given index. Throws if the index is out of range, if it less than 1 or greater than the number of vertices.

Vertex v0, will throw on a 0 vertices polygon.

The X component of vertex v0, will throw on a 0 vertices polygon.

The Y component of vertex v1, will throw on a 0 vertices polygon.

The last vertex. The default convention places this just anti clockwise of 12 oclock.

Returns the vertex of the given index. If the index is out of range, it will just circle round the vertices, so for a triangle -1 gives v2, -2 gives v1, 3 gives v0, 4 gives v1 etc. It will not throw unlike the unsafeVert method.

Foreach vertex excluding vertex 1, perform the side effecting function on the Tuple2 of the x and y values of the vertex. For maximum efficiency override the implementation in sub classes.

flatMap to an immutable Arr.

Folds over the vertices.

This method should be overridden in final classes.

Performs the side effecting function on the Pt2 value of each vertex.

flatMap with index to an immutable Arr.

Index with foreach on each vertx. Applies the side effecting function on the index with the value of each vertex. Note the function signature follows the foreach based convention of putting the collection element 2nd or last as seen for example in fold methods' (accumulator, element) => B signature.

Maps the vertices of this polygon to an immutable Array like sequence of type B.

Checks this polygon has at least 3 vertices.

This method does nothing if the vertNum < 2. Foreach vertex applies the side effecting function to the previous vertex with each vertex. The previous vertex to the first vertex is the last vertex of the PolygonLike. Note the function signature (previous, vertex) => U follows the foreach based convention of putting the collection element 2nd or last as seen for example in fold methods'(accumulator, element) => B signature.

Performs the side effecting function on the Pt2 value of each vertex.

Returns the X component of the vertex of the given number. Will throw an exception if the vertex index is out of range.

Returns the Y component of the vertex of the given number. Will throw an exception if the vertex index is out of range. For maximum efficiency override the implementation in sub classes.