| Name |
Description |
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| anglePairToGreatArc(angleA: LongitudeLatitudeNumber, angleB: LongitudeLatitudeNumber, result?: Arc3d): undefined | Arc3d |
See radiansPairToGreatArc, which does this computation with positions from angleA and angleB directly as radians |
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| announceClippedArcIntervals(arc: Arc3d, announce?: AnnounceNumberNumberCurvePrimitive): boolean |
Announce "in" portions of a line segment. |
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| announceClippedSegmentIntervals(f0: number, f1: number, pointA: Point3d, pointB: Point3d, announce?: AnnounceNumberNumber): boolean |
Announce "in" portions of a line segment. |
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| clone(): Ellipsoid |
return a clone with same coordinates |
|
| cloneTransformed(transform: Transform): undefined | Ellipsoid |
return a cloned and transformed ellipsoid. |
|
| constantLatitudeArc(longitudeSweep: AngleSweep, latitude: Angle, result?: Arc3d): undefined | Arc3d |
Return an arc (circular or elliptical) at constant longitude |
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| constantLongitudeArc(longitude: Angle, latitudeSweep: AngleSweep, result?: Arc3d): undefined | Arc3d |
Return an arc (circular or elliptical) at constant longitude |
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| createPlaneSection(plane: Plane3dByOriginAndUnitNormal): undefined | Arc3d |
Construct an arc for the section cut of a plane with the ellipsoid. |
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| createSectionArcPointPointVectorInPlane(pointAnglesA: LongitudeLatitudeNumber, pointAnglesB: LongitudeLatitudeNumber, inPlaneVector: Vector3d, result?: Arc3d): undefined | Arc3d |
Construct an arc which |
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| intersectRay(ray: Ray3d, rayFractions: undefined | number[], xyz: undefined | Point3d[], thetaPhiRadians: undefined | LongitudeLatitudeNumber[]): number |
Compute intersections with a ray. |
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| isAlmostEqual(other: Ellipsoid): boolean |
test equality of the 4 points |
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| isPointOnOrInside(point: Point3d): boolean |
Implement the isPointInOnOrOutside test fom the interface |
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| localToWorld(localPoint: Readonly<WritableXYAndZ>, result?: Point3d): Point3d |
* Convert a point within the underlying mapped sphere space to world coordinates. |
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| otherEllipsoidAnglesToThisEllipsoidAngles(otherEllipsoid: undefined | Ellipsoid, otherAngles: LongitudeLatitudeNumber, result?: LongitudeLatitudeNumber): undefined | LongitudeLatitudeNumber |
* Evaluate the surface normal on other ellipsoid at given angles |
|
| patchRangeStartEndRadians(theta0Radians: number, theta1Radians: number, phi0Radians: number, phi1Radians: number, result?: Range3d): Range3d |
Return the range of a uv-aligned patch of the sphere. |
|
| projectPointToSurface(spacePoint: Point3d): undefined | LongitudeLatitudeNumber |
Find the closest point of the (patch of the) ellipsoid. |
|
| radiansPairToEquatorialEllipsoid(thetaARadians: number, phiARadians: number, thetaBRadians: number, phiBRadians: number, result?: Ellipsoid): undefined | Ellipsoid |
* For a given pair of points on an ellipsoid, construct another ellipsoid |
|
| radiansPairToGreatArc(thetaARadians: number, phiARadians: number, thetaBRadians: number, phiBRadians: number, result?: Arc3d): undefined | Arc3d |
* For a given pair of points on an ellipsoid, construct an arc (possibly elliptical) which |
|
| radiansToFrenetFrame(thetaRadians: number, phiRadians: number, result?: Transform): undefined | Transform |
Evaluate a point and rigid local coordinate frame the ellipsoid at angles give in radians. |
|
| radiansToPoint(thetaRadians: number, phiRadians: number, result?: Point3d): Point3d |
Evaluate a point on the ellipsoid at angles give in radians. |
|
| radiansToPointAnd2Derivatives(thetaRadians: number, phiRadians: number, point: Point3d, d1Theta: Vector3d, d1Phi: Vector3d, d2ThetaTheta: Vector3d, d2PhiPhi: Vector3d, d2ThetaPhi: Vector3d): void |
Evaluate a point and derivatives wrt to theta, phi, thetaTheta, phiPhi, and thetaPhi. |
|
| radiansToPointAndDerivatives(thetaRadians: number, phiRadians: number, applyCosPhiFactor: boolean = true, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors |
Evaluate a point and derivatives with respect to angle on the ellipsoid at angles give in radians. |
|
| radiansToUnitNormalRay(thetaRadians: number, phiRadians: number, result?: Ray3d): undefined | Ray3d |
Evaluate a point and unit normal at given angles. |
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| sectionArcWithIntermediateNormal(angleA: LongitudeLatitudeNumber, intermediateNormalFraction: number, angleB: LongitudeLatitudeNumber): Arc3d |
* create a section arc with and end at positions A and B, and in plane with the normal at a fractional |
|
| silhouetteArc(eyePoint: Point4d): undefined | Arc3d |
Find the silhouette of the ellipsoid as viewed from a homogeneous eyepoint. |
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| surfaceNormalToAngles(normal: Vector3d, result?: LongitudeLatitudeNumber): LongitudeLatitudeNumber |
Find the (unique) extreme point for a given true surface perpendicular vector (outward) |
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| tryTransformInPlace(transform: Transform): boolean |
Apply the transform to each point |
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| worldToLocal(worldPoint: Readonly<WritableXYAndZ>, result?: Point3d): undefined | Point3d |
* Convert a world point to point within the underlying mapped sphere space. |
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| create(matrixOrTransform?: Transform | Matrix3d): Ellipsoid Static |
Create with a clone (not capture) with given transform. |
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| createCenterMatrixRadii(center: Point3d, axes: undefined | Matrix3d, radiusX: number, radiusY: number, radiusZ: number): Ellipsoid Static |
Create a transform with given center and directions, applying the radii as multipliers for the respective columns of the axes. |
|
| radiansToUnitNormalRay(ellipsoid: undefined | Ellipsoid, thetaRadians: number, phiRadians: number, result?: Ray3d): undefined | Ray3d Static |
* if ellipsoid is given, return its surface point and unit normal as a Ray3d. |
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