MathKit/com.sztorm.mathkit.euclidean2d/RegularTriangle

RegularTriangle

interface RegularTriangle : TriangleShape, RegularShape, Transformable

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

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

Inheritors

MutableRegularTriangle

Properties

area

open override val area: Float

Returns the area of this shape.

center

abstract val center: Vector2F

Returns the center of this regular triangle.

centroid

open val centroid: Vector2F

Returns the centroid of this regular 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 regular 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.

circumradius

open override val circumradius: Float

Returns the circumradius of this shape.

exteriorAngle

open override val exteriorAngle: AngleF

Returns the exterior angle of this shape.

incenter

open val incenter: Vector2F

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

inradius

open override val inradius: Float

Returns the inradius of this shape.

interiorAngle

open override val interiorAngle: AngleF

Returns the interior angle of this shape.

orientation

abstract val orientation: ComplexF

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

orthocenter

open val orthocenter: Vector2F

Returns the orthocenter of this regular 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 regular triangle.

pointB

open val pointB: Vector2F

Returns the point B of this regular triangle.

pointC

open val pointC: Vector2F

Returns the point C of this regular triangle.

position

open override val position: Vector2F

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

sideCount

open override val sideCount: Int

Returns the side count of this shape.

sideLength

abstract val sideLength: Float

Returns the side length of this shape.

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 regular triangle to the given point.

component1

open operator fun component1(): Vector2F

Returns the center of this regular triangle.

component2

open operator fun component2(): ComplexF

Returns the orientation of this regular triangle.

component3

open operator fun component3(): Float

Returns the sideLength of this regular triangle.

contains

open operator fun contains(point: Vector2F): Boolean

Returns true if this regular triangle contains the given point.

copy

abstract fun copy(center: Vector2F = this.center, orientation: ComplexF = this.orientation, sideLength: Float = this.sideLength): RegularTriangle

Returns a copy of this instance with specified properties changed.

dilatedBy

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

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

interpolated

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

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

intersects

open fun intersects(ray: Ray): Boolean

Returns true if this regular triangle intersects the given ray.

movedBy

open override fun movedBy(displacement: Vector2F): RegularTriangle

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

movedTo

open override fun movedTo(position: Vector2F): RegularTriangle

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

pointIterator

open fun pointIterator(): Vector2FIterator

Creates an iterator over the points of this regular triangle.

rotatedAroundPointBy

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

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

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

rotatedAroundPointTo

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

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

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

rotatedBy

open override fun rotatedBy(rotation: AngleF): RegularTriangle

open override fun rotatedBy(rotation: ComplexF): RegularTriangle

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

rotatedTo

open override fun rotatedTo(orientation: AngleF): RegularTriangle

open override fun rotatedTo(orientation: ComplexF): RegularTriangle

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

scaledBy

open override fun scaledBy(factor: Float): RegularTriangle

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

transformedBy

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

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

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): RegularTriangle

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

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): RegularTriangle

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

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