TorusPipe Class

A torus pipe is a partial torus (donut).

• In its local coordinate system, the z-axis passes through the donut hole.
• The "major hoop" circular arc is defined for theta in the angular sweep. Its formula in local coordinates:
  • vectorTheta0 = (radiusA, 0, 0)
  • vectorTheta90 = (0, radiusA, 0)
  • M(theta) = vectorTheta0 * cos(theta) + vectorTheta90 * sin(theta)
• The "minor hoop" circular arc is defined for phi in [0,2pi]. Its formula, centered at the origin:
  • vectorPhi0 = (radiusB * cos(theta), radiusB * sin(theta), 0)
  • vectorPhi90 = (0, 0, radiusB)
  • m(phi) = vectorPhi0 * cos(phi) + vectorPhi90 * sin(phi)
• Thus the torus pipe in local coordinates has the formula:
  • T(theta, phi) = M(theta) + m(phi)
• The stored form of the torus pipe is oriented for positive volume:
  • Both radii are positive, with radiusA >= radiusB > 0
  • The sweep is positive
  • The coordinate system has positive determinant.
• For uv parameterization,
  • u is around the minor hoop, with u in [0,1] mapping to phi in [0, 2pi]
  • v is along the major hoop, with v in [0,1] mapping to theta in the angular sweep
  • a constant v section is a full circle
  • a constant u section is an arc with the same angular sweep as the torusPipe

Extends

• SolidPrimitive

Implements

• UVSurface
• UVSurfaceIsoParametricDistance

Methods

Name	Description
constructor(map: Transform, radiusA: number, radiusB: number, sweep: Angle, capped: boolean): TorusPipe Protected
clone(): TorusPipe	return a copy of the TorusPipe
cloneCenter(): Point3d	Return the center of the torus pipe (inside the donut hole)
cloneLocalToWorld(): Transform	Return a (clone of) the TorusPipe's local to world transformation.
cloneTransformed(transform: Transform): undefined | TorusPipe	Clone this TorusPipe and transform the clone.
cloneVectorX(): Vector3d	return unit vector along the x axis (in the major hoop plane)
cloneVectorY(): Vector3d	return unit vector along the y axis (in the major hoop plane)
cloneVectorZ(): Vector3d	return unit vector along the z axis
constantUSection(uFraction: number): undefined | CurveCollection	Return an arc at constant u, and arc sweep matching this TorusPipe sweep.
constantVSection(v: number): undefined | CurveCollection	Return the Arc3d section at vFraction.
dispatchToGeometryHandler(handler: GeometryHandler): any	Second step of double dispatch: call handler.handleTorusPipe(this)
extendRange(rangeToExtend: Range3d, transform?: Transform): void	extend rangeToExtend to include this TorusPipe
getConstructiveFrame(): undefined | Transform	Return a coordinate frame (right handed, unit axes)
getIsReversed(): boolean	Ask if this TorusPipe is labeled as reversed
getMajorRadius(): number	get the major hoop radius (radiusA) in world coordinates
getMinorRadius(): number	get the minor hoop radius (radiusB) in world coordinates
getSweepAngle(): Angle	get the sweep angle along the major circle.
getThetaFraction(): number	Return the sweep angle as a fraction of full 360 degrees (2PI radians)
isAlmostEqual(other: GeometryQuery): boolean	test if this and other have nearly equal geometry
isSameGeometryClass(other: any): boolean	ask if other is an instance of TorusPipe
maxIsoParametricDistance(): Vector2d	Directional distance query
tryTransformInPlace(transform: Transform): boolean	Apply transform to the local coordinate system.
uvFractionToPoint(u: number, v: number, result?: Point3d): Point3d	Evaluate as a uv surface
uvFractionToPointAndTangents(u: number, v: number, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors	Evaluate as a uv surface, returning point and two vectors.
vFractionToRadians(v: number): number	Return the angle (in radians) for given fractional position around the major hoop.
createAlongArc(arc: Arc3d, minorRadius: number, capped: boolean): undefined | TorusPipe Static	Create a TorusPipe from major arc and minor radius.
createDgnTorusPipe(center: Point3d, vectorX: Vector3d, vectorY: Vector3d, majorRadius: number, minorRadius: number, sweep: Angle, capped: boolean): undefined | TorusPipe Static	Create a TorusPipe from the typical parameters of the Dgn file
createInFrame(frame: Transform, majorRadius: number, minorRadius: number, sweep: Angle, capped: boolean): undefined | TorusPipe Static	Create a new TorusPipe

Inherited methods

Name	Inherited from	Description
range(transform?: Transform, result?: Range3d): Range3d Inherited	SolidPrimitive	Return the range of the entire GeometryQuery tree.
tryTranslateInPlace(dx: number, dy: number = 0.0, dz: number = 0.0): boolean Inherited	SolidPrimitive	Try to move the geometry by dx,dy,dz.
areAlmostEqual(a: GeometryQuery, b: GeometryQuery): boolean Static Inherited	SolidPrimitive	Apply instance method isAlmostEqual if both are defined.

Properties

Name	Type	Description
isClosedVolume Accessor ReadOnly	boolean
solidPrimitiveType Readonly	"torusPipe"	String name for schema properties

Inherited properties

Name	Type	Inherited from	Description
_capped Protected Inherited	boolean	SolidPrimitive	Flag indicating whether cap region is considered closed (i.e.
capped Accessor Inherited	boolean	SolidPrimitive	Whether this is a capped solid.
children Accessor Inherited ReadOnly	undefined | GeometryQuery[]	SolidPrimitive	Return GeometryQuery children for recursive queries. * leaf classes do not need to implement.
geometryCategory Readonly Inherited	"solid"	SolidPrimitive	String name for schema properties.

Defined in

• solid/TorusPipe.ts Line 50