## ClipPlane Class

A ClipPlane is a single plane represented as

• An inward unit normal (u,v,w)
• A signedDistance

Hence

• The halfspace function evaluation for "point" [x,y,z,] is: ([x,y,z] DOT (u,v,w)l - signedDistance)
• POSITIVE values of the halfspace function are "inside"
• ZERO value of the halfspace function is "on"
• NEGATIVE value of the halfspace function is "outside"
• A representative point on the plane is (signedDistanceu, signedDistance v, signedDistance *w)
• Given a point and inward normal, the signedDistance is (point DOT normal)

### Methods

Name Description
altitude(point: Point3d): number Evaluate the distance from the plane to a point in space, i.e.
altitudeXYZ(x: number, y: number, z: number): number Evaluate the distance from the plane to a point in space with point given as x,y,z, i.e.
announceClippedArcIntervals(arc: Arc3d, announce?: AnnounceNumberNumberCurvePrimitive): boolean Announce fractional intervals of arc clip.
announceClippedSegmentIntervals(f0: number, f1: number, pointA: Point3d, pointB: Point3d, announce?: (fraction0: number, fraction1: number) => void): boolean announce the interval (if any) where a line is within the clip plane half space.
appendIntersectionRadians(arc: Arc3d, intersectionRadians: GrowableFloat64Array): void Compute intersections of an (UNBOUNDED) arc with the plane.
clipConvexPolygonInPlace(xyz: GrowableXYZArray, work: GrowableXYZArray, inside: boolean = true, tolerance: number = Geometry.smallMetricDistance): number Clip a polygon to the inside or outside of the plane.
clone(): return a cloned plane
cloneNegated(): return Return a cloned plane with coordinate data negated.
convexPolygonClipInPlace(xyz: Point3d[], work: Point3d[], tolerance: number = Geometry.smallMetricDistance): void Clip a polygon, returning the clip result in the same object. Deprecated
convexPolygonSplitInsideOutside(xyz: Point3d[], xyzIn: Point3d[], xyzOut: Point3d[], altitudeRange: Range1d): void Split a (convex) polygon into 2 parts. Deprecated
convexPolygonSplitInsideOutsideGrowableArrays(xyz: GrowableXYZArray, xyzIn: GrowableXYZArray, xyzOut: GrowableXYZArray, altitudeRange: Range1d): void Split a (convex) polygon into 2 parts. Deprecated
dotProductPlaneNormalPoint(point: Point3d): number Return the dot product of the plane normal with the point (treating the point xyz as a vector, and NOT using the plane's distanceFromOrigin).
dotProductVector(vector: Vector3d): number Return the dot product of the plane normal with the vector (NOT using the plane's distanceFromOrigin). Deprecated
evaluatePoint(point: Point3d): number Evaluate the distance from the plane to a point in space, i.e. Deprecated
getBoundedSegmentSimpleIntersection(pointA: Point3d, pointB: Point3d): number | undefined * Compute intersection of (unbounded) segment with the plane.
getFrame(): Return a coordinate frame with
origin at closest point to global origin
z axis points in
x and y are "in plane"

getPlane3d(): Return the Plane3d form of the plane.
getPlane4d(): Return the Point4d d form of the plane.
intersectRange(range: Range3d, addClosurePoint: boolean = false): GrowableXYZArray | undefined Return the intersection of the plane with a range cube.
isAlmostEqual(other: ClipPlane): boolean Return true if all members are almostEqual to corresponding members of other.
isPointInside(point: Point3d, tolerance: number = Geometry.smallMetricDistance): boolean Return true if spacePoint is strictly inside the halfspace, with tolerance applied to "on".
isPointOn(point: Point3d, tolerance: number = Geometry.smallMetricDistance): boolean Return true if spacePoint is strictly on the plane, within tolerance
isPointOnOrInside(spacePoint: Point3d, tolerance: number = Geometry.smallMetricDistance): boolean Return true if spacePoint is inside or on the plane, with tolerance applied to "on".
multiplyPlaneByMatrix4d(matrix: Matrix4d, invert: boolean = true, transpose: boolean = true): boolean Multiply the ClipPlane's DPoint4d by matrix.
negateInPlace(): void reverse the sign of all coefficients, so outside and inside reverse
offsetDistance(offset: number): void Move the plane INWARD by given distance
polygonCrossings(xyz: Point3d[], crossings: Point3d[]): void Return an array containing
* All points that are exactly on the plane.
Deprecated
setFlags(invisible: boolean, interior: boolean): void Set both the invisible and interior flags.
setInvisible(invisible: boolean): void Set the invisible flag.
setPlane4d(plane: Point4d): void Set the plane from DPoint4d style plane.
toJSON(): any return a json object of the form
`{"normal":[u,v,w],"dist":signedDistanceValue,"interior":true,"invisible":true}`

transformInPlace(transform: Transform): boolean Apply transform to the origin.
velocity(vector: Vector3d): number Return the dot product of the plane normal with the vector (NOT using the plane's distanceFromOrigin).
velocityXYZ(x: number, y: number, z: number): number Return the dot product of the plane normal with the x,yz, vector components (NOT using the plane's distanceFromOrigin).
weightedAltitude(point: Point4d): number Evaluate the altitude in weighted space, i.e.
createEdgeAndUpVector(point0: Point3d, point1: Point3d, upVector: Vector3d, tiltAngle: Angle, result?: ClipPlane): ClipPlane | undefined Static Create a plane defined by two points, an up vector, and a tilt angle relative to the up vector.
createEdgeXY(point0: Point3d, point1: Point3d, result?: ClipPlane): ClipPlane | undefined Static Create a plane perpendicular to the edge between the xy parts of point0 and point1
createNormalAndDistance(normal: Vector3d, distance: number, invisible: boolean = false, interior: boolean = false, result?: ClipPlane): ClipPlane | undefined Static * Create a ClipPlane with direct normal and signedDistance.
createNormalAndPoint(normal: Vector3d, point: Point3d, invisible: boolean = false, interior: boolean = false, result?: ClipPlane): ClipPlane | undefined Static Create a ClipPlane
* "normal" is the inward normal of the plane.

createNormalAndPointXYZXYZ(normalX: number, normalY: number, normalZ: number, originX: number, originY: number, originZ: number, invisible: boolean = false, interior: boolean = false, result?: ClipPlane): ClipPlane | undefined Static Create a ClipPlane
* "normal" (normalX, normalY, nz) is the inward normal of the plane.

createPlane(plane: Plane3dByOriginAndUnitNormal, invisible: boolean = false, interior: boolean = false, result?: ClipPlane): Static Create a ClipPlane from Plane3dByOriginAndUnitNormal.
fromJSON(json: any, result?: ClipPlane): ClipPlane | undefined Static parse json object to ClipPlane instance
intersectRangeConvexPolygonInPlace(range: Range3d, xyz: GrowableXYZArray): undefined | GrowableXYZArray Static Return the intersection of the plane with a range cube. Deprecated

### Properties

Name Type Description
distance Accessor ReadOnly number Return the stored distanceFromOrigin property.
interior Accessor ReadOnly boolean Return the "interior" property bit
invisible Accessor ReadOnly boolean Return the "invisible" property bit.
inwardNormalRef Accessor ReadOnly Return the stored inward normal property.

### Defined in

Last Updated: 08 January, 2020