HexReg

Gives the final type of this class.

The diameter of the inner circle of this regular hexagon. The shorter diameter from the centre of a side to the centre of the opposite side.

The diameter of the outer circle of this regular hexagon. The longer diameter length from a vertex to the opposite vertex. This lenght is twice the length of the hexagon side.

The radius of the inner circle of this regular hexagon. The shorter radius from the centre of the hexagon to the centre of a side.

The radius of the outer circle of this regular hexagon. The longer radius length from the centre of the Hexagon to a vertex. Also the length of the hexagon side.

The centre of this geometric / graphical element. The centre will not change if the object type is capable of being rotated and is rotated. The cenDefault on other bounded elements may move relative to points on the object when the object is rotated.

The X component of the centre.

The Y component of the centre.

Mirror, reflection transformation of HexReg across the Y axis, returns a HexReg.

Mirror, reflection transformation of a HexReg across the X axis, returns a HexReg.

Prolign 2d transformations, similar transformations that retain alignment with the axes.

Reflect 2D geometric transformation across a line, line segment or ray on a HexReg, returns a HexReg. The Return type will be narrowed in sub traits / classes.

Rotation 2D geometric transformation on a Polygon, taking the rotation as a scalar measured in radians, returns a Polygon. The Return type will be narrowed in some but not all sub traits / classes.

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

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

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

Uniform scaling against both X and Y axes transformation on a HexReg returning a HexReg. Use the xyScale method for differential scaling. The return type of this method will be narrowed further in descendant traits / classes.

Translate geometric transformation on a HexReg returns a HexReg. 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 geometric transformation on a HexReg returns a HexReg. 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.

The RSON type of T. This the only data that a ShowT instance requires, that can't be implemented through delegation to an object of type Show.

A Hexagon has 6 vertices.

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.

This canEqual override allow the comparison of Shapes.

The default centre of this object is the centre. The centre will not change if the object type is capable of being rotated and is rotated.

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.

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

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.

Returns a fill graphic of this geometric object.

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.

FlatMaps the vertices of this PolygonLike to a new to PolygonLike class of type BB.

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

Insert vertex.

Insert vertices before the specified insertion vertex.

Maps the vertices of this PolygonLike to a new to PolygonLike class of type BB.

Determines if the parameter point lies inside this Polygon.

XY scaling 2D geometric transformation on a Polygon returns a Polygon. This allows different scaling factors across X and Y dimensions. The return type will be narrowed in some, but not all descendant Polygon types.

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.

The centre or half way point of side 1 of this polygon. Side 1 starts at the v1 vertex and ends at the v2 vertex. This can be thought of as vertex 1.5

The X component of the centre or half way point of side 1 of this polygon. The midway point between v0 and v1.

The Y component of the centre or half way point of side 1 of this polygon. the midway point between v1 and v2.

The centre or half way point of side 2 of this polygon. Side 2 starts at the v1 vertex and ends at the v2 vertex. This can be thought of as vertex 2.5.

The X component of the centre or half way point of side 2 of this polygon.

The Y component of the centre or half way point of side 2 of this polygon.

The centre or half way point of side 3 of this polygon.

The X component of the centre or half way point of side 3 of this polygon.

The Y component of the centre or half way point of side 3 of this polygon.

The centre or half way point of side 5 of this polygon. Side 5 starts at the v4 vertex and ends at the v5 vertex. This can be thought of as vertex 4.5.

The X component of the centre or half way point of side 5 of this polygon. Side 5 starts at the v4 vertex and ends at the v5 vertex. This can be thought of as vertex 4.5.

The Y component of the centre or half way point of side 5 of this polygon. Side 5 starts at the v4 vertex and ends at the v5 vertex. This can be thought of as vertex 4.5.

The centre or half way point of side 5 of this polygon. Side 5 starts at the v5 vertex and ends at the v6 vertex. This can be thought of as vertex 5.5.

The X component of the centre or half way point of side 6 of this polygon.

The Y component of the centre or half way point of side 5 of this polygon.

Shear 2D geometric transformation along the X Axis on a Polygon, returns a Polygon. The return type will be narrowed in some but not all sub classes and traits.

Shear 2D geometric transformation along the Y Axis on a Polygon, returns a Polygon. The return type will be narrowed in sub classes and traits.

Intended to be a multiple parameter comprehensive Show method. Intended to be paralleled by showT method on ShowT type class instances.

Intended to be a multiple parameter comprehensive Show method. Intended to be paralleled by showT method on ShowT type class instances.

Intended to be a multiple parameter comprehensive Show method. Intended to be paralleled by showT method on ShowT type class instances.

Polygon side 0 from vertex 0 to vertex 1.

Polygon side 1 from vertex 0 to vertex 1.

Polygon side 2 from vertex 1 to vertex 2.

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.

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.

The most basic Show method, paralleling the strT method on ShowT type class instances.

Show with decimal precision of 0 places.

Show with decimal precision of 1 place padding with a zero if necessary.

Show with decimal precision of 2 places padding with zeros if necessary.

Show with decimal precision of 3 places padding with zeros if necessary.

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. By convention the default position for this vertex is at the top or 12 o'clock position of the polygon or the vertex immediately anti clockwise if there is no vertex in this position.

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 v1 Vertex. The default convention is for the vertices to be numbered in a clockwise direction with the 1 immediately clockwise from 12 o'clock.

The X component of the v1 vertex. The default convention is for the vertices to be numbered in a clockwise direction with the 0 vertex at or immediately clockwise from 12 o'clock.

The Y component of the v1 vertex. The default convention is for the vertices to be numbered in a clockwise direction with vertex immediately clockwise from 12 o'clock.

The v2 vertex. The default convention is for the vertices to be numbered in a clockwise direction with the 0 vertex at or immediately clockwise from 12 o'clock.

The X component of the v2 vertex. The default convention is for the vertices to be numbered in a clockwise direction with vertex 1 immediately clockwise from 12 o'clock.

The Y component of the v2 vertex. The default convention is for the vertices to be numbered in a clockwise direction with vertex immediately clockwise from 12 o'clock.

Vertex 4. The default convention is for the vertices to be numbered in a clockwise direction with the vertex 1 immediately clockwise from 12 o'clock.

The X component of vertex 3. The default convention is for the vertices to be numbered in a clockwise direction with vertex 1 immediately clockwise from 12 o'clock.

The Y component of the 4th Vertex. The default convention is for the vertices to be numbered in a clockwise direction with vertex 1 immediately clockwise from 12 o'clock.

Vertex 4. The default convention is for the vertices to be numbered in a clockwise direction with the vertex 1 immediately clockwise from 12 o'clock.

The X component of the vertex 4.

The Y component of the vertex 4.

Vertex 5. The default convention is for the vertices to be numbered in a clockwise direction with the vertex 1 immediately clockwise from 12 o'clock.

The X component of the 6th Vertex.

The Y component of the 6th Vertex.

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

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.

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.

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

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.