Sphere Class

A Sphere is

  • A unit sphere (but read on ....)
  • mapped by an arbitrary (possibly skewed, non-uniform scaled) transform
  • hence possibly the final geometry is ellipsoidal

Extends

Implements

Methods

Name Description
constructor(capped: boolean): Sphere Protected    
clone(): Sphere return a deep clone  
cloneCenter(): Point3d return (copy of) sphere center  
cloneLatitudeSweep(): AngleSweep return (a copy of) the sphere's angle sweep.  
cloneLocalToWorld(): Transform Return a (clone of) the sphere's local to world transformation.  
cloneTransformed(transform: Transform): Sphere | undefined Return a transformed clone.  
cloneVectorX(): Vector3d return the (full length, i.e.  
cloneVectorY(): Vector3d return the (full length, i.e.  
cloneVectorZ(): Vector3d return the (full length, i.e.  
constantVSection(vFraction: number): CurveCollection | undefined Return the Arc3d section at vFraction.  
dispatchToGeometryHandler(handler: GeometryHandler): any Second step of double dispatch: call handler.handleSphere(this)  
extendRange(range: Range3d, transform?: Transform): void Extend a range to contain this sphere.  
getConstructiveFrame(): Transform | undefined Return a coordinate frame (right handed, unit axes)
origin at sphere center
equator in xy plane
* z axis perpendicular
 
isAlmostEqual(other: GeometryQuery): boolean Test for same geometry in other  
isSameGeometryClass(other: any): boolean Test if other is a Sphere  
maxIsoParametricDistance(): Vector2d Directional distance query
* u direction is around longitude circle at maximum distance from axis.
 
strokeConstantVSection(v: number, fixedStrokeCount: number | undefined, options?: StrokeOptions): LineString3d return strokes for a cross-section (elliptic arc) at specified fraction v along the axis.  
trueSphereRadius(): number | undefined Test if the geometry is a true sphere taking the transform (which might have nonuniform scaling) is applied.  
tryTransformInPlace(transform: Transform): boolean Transform the sphere in place.  
uFractionToRadians(u: number): number Return the longitude (in radians) all fractional u.  
uvFractionToPoint(uFraction: number, vFraction: number, result?: Point3d): Point3d Evaluate as a uv surface  
uvFractionToPointAndTangents(uFraction: number, vFraction: number, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors Evaluate as a uv surface, returning point and two vectors.  
vFractionToRadians(v: number): number Return the latitude (in radians) all fractional v.  
createCenterRadius(center: Point3d, radius: number, latitudeSweep?: AngleSweep): Sphere Static Create from center and radius, with optional restricted latitudes.  
createDgnSphere(center: Point3d, vectorX: Vector3d, vectorZ: Vector3d, radiusXY: number, radiusZ: number, latitudeSweep: AngleSweep, capped: boolean): Sphere | undefined Static Create a sphere from the typical parameters of the Dgn file  
createEllipsoid(localToWorld: Transform, latitudeSweep: AngleSweep, capped: boolean): Sphere | undefined Static Create an ellipsoid which is a unit sphere mapped to position by an (arbitrary, possibly skewed and scaled) transform.  
createFromAxesAndScales(center: Point3d, axes: undefined | Matrix3d, radiusX: number, radiusY: number, radiusZ: number, latitudeSweep: AngleSweep | undefined, capped: boolean): Sphere | undefined Static Create a sphere from the typical parameters of the Dgn file  

Inherited methods

Name Inherited from Description
range(transform?: Transform, result?: Range3d): Range3d GeometryQuery return the range of the entire (tree) GeometryQuery
tryTranslateInPlace(dx: number, dy: number = 0, dz: number = 0): boolean GeometryQuery try to move the geometry by dx,dy,dz

Properties

Name Type Description
isClosedVolume Accessor ReadOnly boolean A sphere is can be closed two ways:
full sphere (no caps needed for closure)
* incomplete but with caps
 
latitudeSweepFraction Accessor ReadOnly number Return the latitude sweep as fraction of south pole to north pole.  
solidPrimitiveType "sphere" = "sphere"    

Inherited properties

Name Type Inherited from Description
_capped Protected boolean SolidPrimitive flag indicating whether cap region is considered closed (i.e.
capped Accessor boolean SolidPrimitive Ask if this is a capped solid
children Accessor ReadOnly GeometryQuery[] | undefined GeometryQuery return GeometryQuery children for recursive queries.

* leaf classes do not need to implement.
geometryCategory "solid" = "solid" SolidPrimitive  

Defined in

Last Updated: 20 September, 2019