Triangle

trait Triangle extends Polygon3Plus

A mathematical triangle. The Triangle trait is implemented for its general case by Triangle.TriangleImp.

Companion:
object
trait Polygon
trait Approx[Double]
trait Equals
trait Shape
trait Fillable
trait Drawable
trait GeomElem
class Object
trait Matchable
class Any

Type members

Inherited types

override type SideT = LineSeg
Inherited from:
Polygon

Value members

Concrete methods

override def fill(colour: Colour): TriangleFill
Definition Classes
override def fillInt(intValue: Int): TriangleFill
Definition Classes
override def foreachVertPairTail[U](f: (Double, Double) => U): Unit
Definition Classes
override def foreachVertTail[U](f: Pt2 => U): Unit
Definition Classes
override def negX: Triangle

Mirror, reflection transformation across the X axis on a triangle, returns a triangle. The rturn type to be narrowed sub classes.

Mirror, reflection transformation across the X axis on a triangle, returns a triangle. The rturn type to be narrowed sub classes.

Definition Classes
override def negY: Triangle

Mirror, reflection transformation across the Y axis on a triangle returns a triangle.The return type is narrowed in sub classes.

Mirror, reflection transformation across the Y axis on a triangle returns a triangle.The return type is narrowed in sub classes.

Definition Classes
override def prolign(matrix: ProlignMatrix): Triangle
Definition Classes
override def reflect(lineLike: LineLike): Triangle
Definition Classes
override def rotate180: Triangle
Definition Classes
override def rotate270: Triangle
Definition Classes
override def rotate90: Triangle
Definition Classes
override def scale(operand: Double): Triangle

Uniform scaling 2D geometric 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.

Uniform scaling 2D geometric 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.

Definition Classes
override def scaleXY(xOperand: Double, yOperand: Double): Triangle
Definition Classes
override def sd0Cen: Pt2
Definition Classes
override def sd0CenX: Double

The X component of the centre or half way point of side 1 of this polygon. Side 1 starts at the vLast vertex and ends at the v1 vertex. This can be thought of as vertex 0.5.

The X component of the centre or half way point of side 1 of this polygon. Side 1 starts at the vLast vertex and ends at the v1 vertex. This can be thought of as vertex 0.5.

Definition Classes
override def sd0CenY: Double

The Y component of the centre or half way point of side 1 of this polygon. Side 1 starts at the vLast vertex and ends at the v1 vertex. This can be thought of as vertex 0.5.

The Y component of the centre or half way point of side 1 of this polygon. Side 1 starts at the vLast vertex and ends at the v1 vertex. This can be thought of as vertex 0.5.

Definition Classes
override def sd1Cen: Pt2
Definition Classes
override def sd1CenX: Double
Definition Classes
override def sd1CenY: Double
Definition Classes
override def sd2Cen: Pt2
Definition Classes
override def sd2CenX: Double

The X component of the centre or half way point of side 3 of this polygon. Side 3 starts at the v2 vertex and ends at the v3 vertex. This can be thought of as vertex 2.5.

The X component of the centre or half way point of side 3 of this polygon. Side 3 starts at the v2 vertex and ends at the v3 vertex. This can be thought of as vertex 2.5.

Definition Classes
override def sd2CenY: Double

The Y component of the centre or half way point of side 3 of this polygon. Side 3 starts at the v2 vertex and ends at the v3 vertex. This can be thought of as vertex 2.5.

The Y component of the centre or half way point of side 3 of this polygon. Side 3 starts at the v2 vertex and ends at the v3 vertex. This can be thought of as vertex 2.5.

Definition Classes
override def shearX(operand: Double): Triangle
Definition Classes
override def shearY(operand: Double): Triangle
Definition Classes
override def slate(offset: Vec2Like): Triangle

Translate 2D geometric transformation on a Triangle returns a Triangle. The return type is narrowed in sub classes.

Translate 2D geometric transformation on a Triangle returns a Triangle. The return type is narrowed in sub classes.

Definition Classes
override def slateXY(xDelta: Double, yDelta: Double): Triangle

Translate 2D geometric transformation on a Triangle returns a Triangle. The return type is narrowed in sub classes.

Translate 2D geometric transformation on a Triangle returns a Triangle. The return type is narrowed in sub classes.

Definition Classes
override def unsafeVert(index: Int): Pt2
Definition Classes
override def v0: Pt2
Definition Classes
override def v2: Pt2
Definition Classes
override def vertsArray: Array[Double]
Definition Classes
override def vertsArrayX: Array[Double]
Definition Classes
override def vertsArrayY: Array[Double]
Definition Classes
override def vertsForeach[U](f: Pt2 => U): Unit
Definition Classes
override def vertsNum: Int
Definition Classes
override def vertsTrans(f: Pt2 => Pt2): Triangle

2D geometric transformation on a triangle returns a triangle. The method takes a function from a Pt2 2D Vector or point to a Pt2.

2D geometric transformation on a triangle returns a triangle. The method takes a function from a Pt2 2D Vector or point to a Pt2.

Definition Classes
override def xVert(index: Int): Double
Definition Classes
override def yVert(index: Int): Double
Definition Classes

Inherited methods

def active(id: AnyRef): PolygonActive
Inherited from:
Polygon
def activeChildren(id: AnyRef, children: GraphicElems): PolygonCompound
Inherited from:
Polygon
override def approx(that: Any, precision: Double): Boolean
Definition Classes
Inherited from:
Polygon
override def attribs: Arr[XANumeric]
Definition Classes
Inherited from:
Polygon
Inherited from:
BoundedElem
final def boundCen: Pt2

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

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

Inherited from:
BoundedElem
Inherited from:
BoundedElem

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

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

Definition Classes
Inherited from:
Polygon

The width of the BoundingRect of this object.

The width of the BoundingRect of this object.

Inherited from:
BoundedElem
Inherited from:
BoundedElem
def canEqual(that: Any): Boolean

This canEqual override allow the comparison of Shapes.

This canEqual override allow the comparison of Shapes.

Inherited from:
Shape

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

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

Inherited from:
BoundedElem
def cenPt: Pt2

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

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

Inherited from:
Polygon
Inherited from:
Polygon
override def draw(lineColour: Colour, lineWidth: Double): PolygonDraw
Definition Classes
Inherited from:
Polygon
def drawActive(lineColour: Colour, lineWidth: Double, pointerID: AnyRef): PolygonCompound
Inherited from:
Polygon
Inherited from:
Polygon
def fillActive(fillColour: Colour, pointerID: AnyRef): PolygonCompound
Inherited from:
Polygon
def fillActiveDraw(fillColour: Colour, pointerID: AnyRef, lineColour: Colour, lineWidth: Double): PolygonCompound

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.

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.

Inherited from:
Polygon
override def fillDraw(fillColour: Colour, lineColour: Colour, lineWidth: Double): PolygonCompound
Definition Classes
Inherited from:
Polygon
def fillDrawActive(fillColour: Colour, pointerID: AnyRef, lineWidth: Double, lineColour: Colour): PolygonCompound
Inherited from:
Polygon
def fillDrawText(fillColour: Colour, str: String, fontSize: Int, lineColour: Colour, lineWidth: Double): PolygonCompound
Inherited from:
Polygon
def fillDrawTextActive(fillColour: Colour, pointerID: AnyRef, str: String, fontSize: Int, lineWidth: Double, lineColour: Colour, align: TextAlign): PolygonCompound
Inherited from:
Polygon
def fillText(fillColour: Colour, str: String, fontSize: Int, textColour: Colour, layer: Int): PolygonCompound
Inherited from:
Polygon
def fillTextActive(fillColour: Colour, pointerEv: AnyRef, str: String, fontSize: Int, fontColour: Colour, align: TextAlign): PolygonCompound
Inherited from:
Polygon
def iForeachSide(initCount: Int)(f: (LineSeg, Int) => Unit): Unit

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

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

Inherited from:
Polygon
def insVert(insertionPoint: Int, newVec: Pt2): Polygon

Insert vertex.

Insert vertex.

Inherited from:
Polygon
def insVerts(insertionPoint: Int, newVecs: Pt2*): Polygon

Insert vertices before the specified insertion vertex.

Insert vertices before the specified insertion vertex.

Inherited from:
Polygon
def map[B <: ElemValueN, BB <: PolygonLike[B]](f: Pt2 => B)(implicit build: PolygonBuilder[B, BB]): BB

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

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

Inherited from:
PolygonLike
def parentFillText(pointerID: Any, fillColour: Colour, str: String, fontSize: Int, textColour: Colour, align: TextAlign): PolygonCompound
Inherited from:
Polygon
Inherited from:
Polygon
Inherited from:
Polygon
def ptInside(pt: Pt2): Boolean

Determines if the parameter point lies inside this Polygon.

Determines if the parameter point lies inside this Polygon.

Inherited from:
Polygon
override def rotate(angle: AngleVec): Polygon

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 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.

Definition Classes
Inherited from:
Polygon
def side(index: Int): LineSeg
Inherited from:
Polygon

Polygon side 0 from vertex 0 to vertex 1.

Polygon side 0 from vertex 0 to vertex 1.

Inherited from:
Polygon3Plus

Polygon side 1 from vertex 1 to vertex 2.

Polygon side 1 from vertex 1 to vertex 2.

Inherited from:
Polygon3Plus

Polygon side 2 from vertex 2 to vertex 3.

Polygon side 2 from vertex 2 to vertex 3.

Inherited from:
Polygon3Plus
def sidesFold[A](init: A)(f: (A, LineSeg) => A): A
Inherited from:
Polygon
override def sidesForeach[U](f: LineSeg => U): Unit

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

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

Definition Classes
Inherited from:
Polygon
def sidesIFlatMap[AA <: SeqImut[_]](initCount: Int)(f: (LineSeg, Int) => AA)(implicit build: ArrFlatBuilder[AA]): AA

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.

Inherited from:
Polygon
def sidesIMap[A, AA <: SeqImut[A]](initCount: Int)(f: (LineSeg, Int) => A)(implicit build: ArrBuilder[A, AA]): AA

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.

Inherited from:
Polygon
def sidesMap[A, AA <: SeqImut[A]](f: LineSeg => A)(implicit build: ArrBuilder[A, AA]): AA

maps 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.

Inherited from:
Polygon
def sline(index: Int): LineSeg
Inherited from:
Polygon
Inherited from:
BoundedElem
Inherited from:
BoundedElem
def v0x: Double

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

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

Inherited from:
Polygon
def v0y: Double

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

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

Inherited from:
Polygon
def v1: Pt2

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 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.

Inherited from:
Polygon3Plus
def v1x: Double

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 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.

Inherited from:
Polygon3Plus
def v1y: Double

The Y 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 the 0 vertex at or immediately clockwise from 12 o'clock.

Inherited from:
Polygon3Plus
def v2x: Double

The X component of 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 the 0 vertex at or immediately clockwise from 12 o'clock.

Inherited from:
Polygon3Plus
def v2y: Double

The Y component of 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 Y component of 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.

Inherited from:
Polygon3Plus
override def vLast: Pt2

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

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

Definition Classes
Inherited from:
Polygon3Plus
final def vert(index: Int): Pt2

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.

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.

Inherited from:
Polygon
def vertsFlatMap[BB <: SeqImut[_]](f: Pt2 => BB)(implicit build: ArrFlatBuilder[BB]): BB

flatMap to an immutable Arr.

flatMap to an immutable Arr.

Inherited from:
Polygon
override def vertsFold[B](init: B)(f: (B, Pt2) => B): B
Definition Classes
Inherited from:
Polygon

This method should be overridden in final classes.

This method should be overridden in final classes.

Inherited from:
PolygonLike
def vertsIFlatMap[BB <: SeqImut[_]](iInit: Int)(f: (Pt2, Int) => BB)(implicit build: ArrFlatBuilder[BB]): BB

flatMap with index to an immutable Arr.

flatMap with index to an immutable Arr.

Inherited from:
Polygon
override def vertsIForeach[U](f: (Int, Pt2) => Any): Unit
Definition Classes
Inherited from:
Polygon
override def vertsMap[B, ArrB <: SeqImut[B]](f: Pt2 => B)(implicit build: ArrBuilder[B, ArrB]): ArrB
Definition Classes
Inherited from:
Polygon

Checks this polygon has at least 3 vertices.

Checks this polygon has at least 3 vertices.

Inherited from:
PolygonLike
override def vertsPrevForEach[U](f: (Pt2, Pt2) => U): Unit

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.

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.

Definition Classes
Inherited from:
Polygon