MathKit/com.sztorm.mathkit.euclidean2d/Triangle

Triangle

interface Triangle : TriangleShape, Transformable

Represents a transformable triangle in a two-dimensional Euclidean space.

Implementations that use default-implemented members of this interface must make sure that the properties centroid, orientation, originPointA, originPointB, originPointC and the copy method are independent of other members and the computational complexity of these members is trivial.

Inheritors

MutableTriangle

Properties

area

open override val area: Float

Returns the area of this shape.

centroid

abstract val centroid: Vector2F

Returns the centroid of this triangle. Centroid is the intersection point of the triangle's medians. Centroid is the triangle's center of mass.

circumcenter

open val circumcenter: Vector2F

Returns the circumcenter of this triangle. Circumcenter is the intersection point of the perpendicular bisectors of the triangle's sides. Circumcenter is the center of the triangle's circumscribed circle.

incenter

open val incenter: Vector2F

Returns the incenter of this triangle. Incenter is the intersection point of the triangle's angle bisectors. Incenter is the center of the triangle's inscribed circle.

orientation

abstract val orientation: ComplexF

Returns the orientation of this object in reference to the origin of ComplexF.ONE.

originPointA

abstract val originPointA: Vector2F

Returns the point A in reference to the triangle's centroid and orientation of ComplexF.ONE.

originPointB

abstract val originPointB: Vector2F

Returns the point B in reference to the triangle's centroid and orientation of ComplexF.ONE.

originPointC

abstract val originPointC: Vector2F

Returns the point C in reference to the triangle's centroid and orientation of ComplexF.ONE.

orthocenter

open val orthocenter: Vector2F

Returns the orthocenter of this triangle. Orthocenter is the intersection point of the triangle's altitudes.

perimeter

open override val perimeter: Float

Returns the perimeter of this shape.

pointA

open val pointA: Vector2F

Returns the point A of this triangle.

pointB

open val pointB: Vector2F

Returns the point B of this triangle.

pointC

open val pointC: Vector2F

Returns the point C of this triangle.

position

open override val position: Vector2F

Returns the position of this object in reference to the origin of Vector2F.ZERO.

sideLengthAB

open override val sideLengthAB: Float

Returns the side length between points A and B of this triangle.

sideLengthAC

open override val sideLengthAC: Float

Returns the side length between points A and C of this triangle.

sideLengthBC

open override val sideLengthBC: Float

Returns the side length between points B and C of this triangle.

Functions

closestPointTo

open fun closestPointTo(point: Vector2F): Vector2F

Returns the closest point on this triangle to the given point.

component1

open operator fun component1(): Vector2F

Returns the centroid of this triangle.

component2

open operator fun component2(): ComplexF

Returns the orientation of this triangle.

component3

open operator fun component3(): Vector2F

Returns the originPointA of this triangle.

component4

open operator fun component4(): Vector2F

Returns the originPointB of this triangle.

component5

open operator fun component5(): Vector2F

Returns the originPointC of this triangle.

contains

open operator fun contains(point: Vector2F): Boolean

Returns true if this triangle contains the given point.

copy

abstract fun copy(centroid: Vector2F = this.centroid, orientation: ComplexF = this.orientation, originPointA: Vector2F = this.originPointA, originPointB: Vector2F = this.originPointB, originPointC: Vector2F = this.originPointC): Triangle

Returns a copy of this instance with specified properties changed.

dilatedBy

open override fun dilatedBy(point: Vector2F, factor: Float): Triangle

Returns a copy of this object that is dilated around the point by a factor.

interpolated

open fun interpolated(to: Triangle, by: Float): Triangle

Returns a copy of this triangle interpolated to other triangle by a factor.

intersects

open fun intersects(ray: Ray): Boolean

Returns true if this triangle intersects the given ray.

movedBy

open override fun movedBy(displacement: Vector2F): Triangle

Returns a copy of this object that is moved by a displacement.

movedTo

open override fun movedTo(position: Vector2F): Triangle

Returns a copy of this object that is moved to the position.

originPointIterator

open fun originPointIterator(): Vector2FIterator

Creates an iterator over the origin points of this triangle.

pointIterator

open fun pointIterator(): Vector2FIterator

Creates an iterator over the points of this triangle.

rotatedAroundPointBy

open override fun rotatedAroundPointBy(point: Vector2F, rotation: AngleF): Triangle

open override fun rotatedAroundPointBy(point: Vector2F, rotation: ComplexF): Triangle

Returns a copy of this object that is rotated around the point by a rotation.

rotatedAroundPointTo

open override fun rotatedAroundPointTo(point: Vector2F, orientation: AngleF): Triangle

open override fun rotatedAroundPointTo(point: Vector2F, orientation: ComplexF): Triangle

Returns a copy of this object that is rotated around the point to the orientation.

rotatedBy

open override fun rotatedBy(rotation: AngleF): Triangle

open override fun rotatedBy(rotation: ComplexF): Triangle

Returns a copy of this object that is rotated by a rotation.

rotatedTo

open override fun rotatedTo(orientation: AngleF): Triangle

open override fun rotatedTo(orientation: ComplexF): Triangle

Returns a copy of this object that is rotated to the orientation.

scaledBy

open override fun scaledBy(factor: Float): Triangle

Returns a copy of this object that is scaled by a factor.

transformedBy

open override fun transformedBy(displacement: Vector2F, rotation: AngleF): Triangle

open override fun transformedBy(displacement: Vector2F, rotation: ComplexF): Triangle

Returns a copy of this object that is moved by a displacement and rotated by a rotation.

open override fun transformedBy(displacement: Vector2F, rotation: AngleF, scaleFactor: Float): Triangle

open override fun transformedBy(displacement: Vector2F, rotation: ComplexF, scaleFactor: Float): Triangle

Returns a copy of this object that is moved by a displacement, rotated by a rotation, and scaled by a scaleFactor.

transformedTo

open override fun transformedTo(position: Vector2F, orientation: AngleF): Triangle

open override fun transformedTo(position: Vector2F, orientation: ComplexF): Triangle

Returns a copy of this object that is moved to the position and rotated to the orientation.