IntegratedSpiral3d Class
An IntegratedSpiral3d is a curve defined by integrating its curvature.
- The first integral of curvature (with respect to distance along the curve) is the bearing angle (in radians)
- Integrating (cos(theta), sin(theta)) gives displacement from the start point, and thus the actual curve position.
- The curvature functions of interest are all symmetric snap functions in the NormalizedTransition class.
TransitionConditionalPropertiesimplements the computations of the interrelationship of radii, bearing, and length.
Extends
Methods
| Name | Description | |
|---|---|---|
| clone(): IntegratedSpiral3d | Deep clone of this spiral | |
| computeStrokeCountForOptions(options?: StrokeOptions): number | return the stroke count required for given options. | |
| curveLength(): number | Return length of the spiral. | |
| curveLengthBetweenFractions(fraction0: number, fraction1: number): number | Return (unsigned) length of the spiral between fractions. | |
| dispatchToGeometryHandler(handler: GeometryHandler): any | Second step of double dispatch: call handler.handleTransitionSpiral(this) |
|
| emitStrokableParts(dest: IStrokeHandler, options?: StrokeOptions): void | emit stroke fragments to dest handler. |
|
| emitStrokes(dest: LineString3d, options?: StrokeOptions): void | Add strokes from this spiral to dest. |
|
| endPoint(): Point3d | return the spiral end point. | |
| fractionToBearingRadians(activeFraction: number): number | Return the bearing at given fraction of the active interval .... | |
| fractionToCurvature(activeFraction: number): undefined | number | Return the curvature at given fraction of the active interval ... | |
| fractionToFrenetFrame(activeFraction: number, result?: Transform): Transform | Return the frenet frame at fractional position. | |
| fractionToPoint(activeFraction: number, result?: Point3d): Point3d | Evaluate curve point with respect to fraction. | |
| fractionToPointAnd2Derivatives(activeFraction: number, result?: Plane3dByOriginAndVectors): undefined | Plane3dByOriginAndVectors | Return a plane with | |
| fractionToPointAndDerivative(activeFraction: number, result?: Ray3d): Ray3d | Evaluate curve point and derivative with respect to fraction. | |
| globalFractionToBearingRadians(fraction: number): number | use the integrated function to return an angle at fractional position. | |
| globalFractionToCurvature(fraction: number): number | use the integrated function to return an angle at fractional position. | |
| isAlmostEqual(other?: GeometryQuery): boolean | compare various coordinate quantities | |
| isInPlane(plane: Plane3dByOriginAndUnitNormal): boolean | test if the local to world transform places the spiral xy plane into plane |
|
| isSameGeometryClass(other: any): boolean | Test if other is an instance of TransitionSpiral3d |
|
| quickLength(): number | Return length of the spiral. | |
| refreshComputedProperties(): void | Recompute strokes | |
| reverseInPlace(): void | Reverse the active interval and active strokes. | |
| setFrom(other: IntegratedSpiral3d): IntegratedSpiral3d | Copy all defining data from another spiral. | |
| startPoint(): Point3d | Return the spiral start point. | |
| tryTransformInPlace(transformA: Transform): boolean | apply transform to this spiral's local to world transform. |
|
| createFrom4OutOf5(spiralType: undefined | string, radius0: undefined | number, radius1: undefined | number, bearing0: undefined | Angle, bearing1: undefined | Angle, arcLength: undefined | number, fractionInterval: undefined | Segment1d, localToWorld: Transform): undefined | IntegratedSpiral3d Static | Create a transition spiral. | |
| createRadiusRadiusBearingBearing(radius01: Segment1d, bearing01: AngleSweep, activeFractionInterval: Segment1d, localToWorld: Transform, typeName?: string): undefined | IntegratedSpiral3d Static | Create a transition spiral with radius and bearing conditions. | |
| initWorkSpace(): void Static | Initialize class level work arrays. |
Inherited methods
| Name | Inherited from | Description |
|---|---|---|
| addMappedStrokesToLineString3D(map: StrokeCountMap, linestring: LineString3d): number | TransitionSpiral3d | * evaluate strokes at fractions indicated in a StrokeCountMap. |
| announceClipIntervals(_clipper: Clipper, _announce?: AnnounceNumberNumberCurvePrimitive): boolean | TransitionSpiral3d | Find intervals of this curvePrimitive that are interior to a clipper |
| appendPlaneIntersectionPoints(plane: PlaneAltitudeEvaluator, result: CurveLocationDetail[]): number | TransitionSpiral3d | Compute intersections with a plane. |
| applyRigidPartOfTransform(transformA: Transform): undefined | { rigidAxes: Matrix3d, scale: number } Protected | TransitionSpiral3d | * If transformA is rigid with uniform scale, apply the rigid part of transformA to the localToWorld transform and return the scale and rigid separation. |
| clonePartialCurve(fractionA: number, fractionB: number): TransitionSpiral3d | TransitionSpiral3d | Return (if possible) a spiral which is a portion of this curve. |
| cloneTransformed(transform: Transform): TransitionSpiral3d | TransitionSpiral3d | Clone with a transform applied |
| closestPoint(spacePoint: Point3d, extend: VariantCurveExtendParameter): undefined | CurveLocationDetail | TransitionSpiral3d | Search for the curve point that is closest to the spacePoint. |
| collectCurvePrimitives(collectorArray?: CurvePrimitive[], smallestPossiblePrimitives: boolean = false, explodeLinestrings: boolean = false): CurvePrimitive[] | TransitionSpiral3d | Return an array containing only the curve primitives. |
| collectCurvePrimitivesGo(collectorArray: CurvePrimitive[], _smallestPossiblePrimitives: boolean, _explodeLinestrings: boolean = false): void | TransitionSpiral3d | Return an array containing only the curve primitives. |
| computeAndAttachRecursiveStrokeCounts(options?: StrokeOptions, parentMap?: StrokeCountMap): void | TransitionSpiral3d | attach StrokeCountMap structure to this primitive (and recursively to any children) |
| constructOffsetXY(offsetDistanceOrOptions: number | OffsetOptions): undefined | CurvePrimitive | CurvePrimitive[] | TransitionSpiral3d | Construct an offset of the instance curve as viewed in the xy-plane (ignoring z). |
| curveLengthWithFixedIntervalCountQuadrature(fraction0: number, fraction1: number, numInterval: number, numGauss: number = 5): number | TransitionSpiral3d | * Run an integration (with a default gaussian quadrature) with a fixed fractional step |
| extendRange(rangeToExtend: Range3d, transform?: Transform): void | TransitionSpiral3d | extend the range by the strokes of the spiral |
| fractionAndDistanceToPointOnTangent(fraction: number, distance: number): Point3d | TransitionSpiral3d | Construct a point extrapolated along tangent at fraction. |
| fractionToPointAndUnitTangent(fraction: number, result?: Ray3d): Ray3d | TransitionSpiral3d | Returns a ray whose origin is the curve point and direction is the unit tangent. |
| fractionToSignedXYRadiusOfCurvature(fraction: number): number | TransitionSpiral3d | Construct signed distance from a point on the curve to its center of curvature (in xy only). |
| getFractionToDistanceScale(): undefined | number | TransitionSpiral3d | * If the curve primitive has distance-along-curve strictly proportional to curve fraction, return the scale factor. |
| moveSignedDistanceFromFraction(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail | TransitionSpiral3d | * (Attempt to) find a position on the curve at a signed distance from start fraction. |
| moveSignedDistanceFromFractionGeneric(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail Protected | TransitionSpiral3d | Generic algorithm to search for point at signed distance from a fractional startPoint. |
| projectedParameterRange(ray: Ray3d | Vector3d, lowHigh?: Range1d): undefined | Range1d | TransitionSpiral3d | Project instance geometry (via dispatch) onto the given ray, and return the extreme fractional parameters of projection. |
| range(transform?: Transform, result?: Range3d): Range3d | TransitionSpiral3d | return the range of the entire (tree) GeometryQuery |
| rangeBetweenFractions(fractionA: number, fractionB: number, transform?: Transform): Range3d | TransitionSpiral3d | return the range of spiral between fractions of the activeStrokes. |
| rangeBetweenFractionsByClone(fraction0: number, fraction1: number, transform?: Transform): Range3d | TransitionSpiral3d | Returns a (high accuracy) range of the curve between fractional positions |
| rangeBetweenFractionsByCount(fraction0: number, fraction1: number, count: number, transform?: Transform, extrapolationFactor: number = 0.0): Range3d | TransitionSpiral3d | Returns an approximate range based on a fixed number of evaluations |
| tryTranslateInPlace(dx: number, dy: number = 0.0, dz: number = 0.0): boolean | TransitionSpiral3d | try to move the geometry by dx,dy,dz |
| areAlmostEqual(a: undefined | GeometryQuery, b: undefined | GeometryQuery): boolean Static | TransitionSpiral3d | apply instance method isAlmostEqual if both are defined. |
| averageCurvature(radiusLimits: Segment1d): number Static | TransitionSpiral3d | Return the average of the start and end curvatures. |
| averageCurvatureR0R1(r0: number, r1: number): number Static | TransitionSpiral3d | Given two radii (or zeros for 0 curvature) return the average curvature |
| curvatureToRadius(curvature: number): number Static | TransitionSpiral3d | Return 1/k with convention that if near-zero is given as curvature, its infinite radius is returned as 0 |
| installStrokeCountMap(curve: CurvePrimitive, curveMap: StrokeCountMap, parentMap?: StrokeCountMap): void Static | TransitionSpiral3d | final install step to save curveMap in curve. |
| interpolateCurvatureR0R1(r0: number, fraction: number, r1: number): number Static | TransitionSpiral3d | Given two radii (or zeros for 0 curvature) return the average curvature |
| radius0LengthSweepRadiansToRadius1(radius0: number, arcLength: number, sweepRadians: number): number Static | TransitionSpiral3d | Return the end radius for spiral of given start radius, length, and turn angle. |
| radius1LengthSweepRadiansToRadius0(radius1: number, arcLength: number, sweepRadians: number): number Static | TransitionSpiral3d | Return the start radius for spiral of given end radius, length, and turn angle. |
| radiusRadiusLengthToSweepRadians(radius0: number, radius1: number, arcLength: number): number Static | TransitionSpiral3d | Return the turn angle for spiral of given length between two radii |
| radiusRadiusSweepRadiansToArcLength(radius0: number, radius1: number, sweepRadians: number): number Static | TransitionSpiral3d | Return the arc length of a transition spiral with given sweep and radius pair. |
| radiusToCurvature(radius: number): number Static | TransitionSpiral3d | Return 1/r with convention that if true zero is given as radius it represents infinite radius (0 curvature, straight line) |
Properties
| Name | Type | Description | |
|---|---|---|---|
| activeStrokes Accessor ReadOnly | LineString3d | Return the internal stroked form of the (possibly partial) spiral | |
| bearing01 | AngleSweep | start and end bearings as an AngleSweep | |
| curvePrimitiveType Readonly | "transitionSpiral" | String name for schema properties | |
| defaultSpiralType StaticReadonly | "clothoid" | default spiral type name. | |
| radius01 | Segment1d | start and end radii as a Segment1d |
Inherited properties
| Name | Type | Inherited from | Description |
|---|---|---|---|
| _activeFractionInterval Protected | Segment1d | TransitionSpiral3d | Fractional interval for the "active" part of a containing spiral. |
| _designProperties Protected | undefined | TransitionConditionalProperties | TransitionSpiral3d | Original defining properties. |
| _localToWorld Protected | Transform | TransitionSpiral3d | Placement transform |
| _spiralType Protected | string | TransitionSpiral3d | string name of spiral type |
| activeFractionInterval Accessor ReadOnly | Segment1d | TransitionSpiral3d | Return (reference to) the active portion of the reference spiral. |
| children Accessor ReadOnly | undefined | GeometryQuery[] | TransitionSpiral3d | return GeometryQuery children for recursive queries. * leaf classes do not need to implement. |
| designProperties Accessor ReadOnly | undefined | TransitionConditionalProperties | TransitionSpiral3d | Return the original defining properties (if any) saved by the constructor. |
| geometryCategory Readonly | "curvePrimitive" | TransitionSpiral3d | String name for schema properties |
| isExtensibleFractionSpace Accessor ReadOnly | boolean | TransitionSpiral3d | * Returns true if the curve's fraction queries extend beyond 0..1. * Base class default implementation returns false. * These class (and perhaps others in the future) will return true: * LineSegment3d * LineString3d * Arc3d |
| localToWorld Accessor ReadOnly | Transform | TransitionSpiral3d | (reference to) placement transform. |
| parent | undefined | any | TransitionSpiral3d | data attached by various algorithms (e.g. |
| spiralType Accessor ReadOnly | string | TransitionSpiral3d | |
| strokeData | undefined | StrokeCountMap | TransitionSpiral3d | data attached during stroking for facets. |
Defined in
Last Updated: 30 November, 2023