Triangle3

public extension Triangle3 where Vector: Vector3Multiplicative
extension Triangle3: PlaneType where Vector: Vector3FloatingPoint
extension Triangle3: LineIntersectablePlaneType where Vector: Vector3FloatingPoint
extension Triangle3: SignedDistanceMeasurableType where Vector: Vector3FloatingPoint

Available where Vector: Vector3Multiplicative

  • Returns the cross product of the edges BA and CA on this triangle.

    The resulting cross vector can be used to compute the area of the triangle, its normal, and its winding.

    For a 3D triangle, the crossed area is computed as the cross-product of BA and CA:

    let ba = b - a
let ca = c - a

return ba.cross(ca)

    Seealso

    signedArea

    Declaration

    Swift

    var crossedArea: Vector { get }

Available where Vector: Vector3FloatingPoint

  • Declaration

    Swift

    public var pointOnPlane: Vector { get }

  • Returns normal for this Triangle3. The direction of the normal depends on the winding of a -> b -> c. The normal is always pointing to the direction where the points form an anti-clockwise winding.

    Declaration

    Swift

    public var normal: Vector { get }

  • Returns the plane this Triangle3 forms on 3D space, with the normal pointing to the winding between a -> b -> c.

    Declaration

    Swift

    public var asPlane: PointNormalPlane<Vector> { get }

  • Returns the normalized magnitude for a line’s intersection point on this triangle.

    Result is nil if intersection is not within the line’s limits, the line is parallel to this triangle, or the intersection point is not within this triangle’s area.

    Declaration

    Swift

    @inlinable
public func unclampedNormalMagnitudeForIntersection<Line: LineFloatingPoint>(
    with line: Line
) -> Vector.Scalar? where Line.Vector == Vector

  • Returns the result of a line intersection on this triangle.

    Result is nil if intersection is not within the line’s limits, the line is parallel to this triangle, or the intersection point is not within this triangle’s area.

    Declaration

    Swift

    @inlinable
public func intersection<Line: LineFloatingPoint>(
    with line: Line
) -> Vector? where Line.Vector == Vector

  • Performs Möller-Trumbore intersection algorithm against a line. Returns scalars for the line’s magnitude, and barycentric coordinates for the triangle’s position on the intersection.

    Intersections that happen outside the line’s range (see containsProjectedNormalizedMagnitude(_:)) return nil, instead.

    Declaration

    Swift

    @inlinable
public func mollerTrumboreIntersect<Line: LineFloatingPoint>(
    with line: Line
) -> (lineMagnitude: Scalar, Coordinates)? where Line.Vector == Vector

  • Performs a projection of a given set of coordinates onto this triangle as a set of barycentric coordinates.

    Declaration

    Swift

    public func toBarycentric(x: Scalar, y: Scalar, z: Scalar) -> Coordinates

  • Performs a projection of a given vector onto this triangle as a set of barycentric coordinates.

    The resulting coordinates might have scalar values < .zero, indicating points that projected outside the area of the triangle.

    The method assumes vector is coplanar with a, b, and c.

    Declaration

    Swift

    @inlinable
public func toBarycentric(_ vector: Vector) -> Coordinates

  • Declaration

    Swift

    public func signedDistance(to point: Vector) -> Vector.Scalar