Vector3d Class
3D vector with x,y,z as properties
Extends
Methods
| Name | Description | |
|---|---|---|
| constructor(x: number0, y: number0, z: number0): Vector3d | ||
| addCrossProductToTargetsInPlace(ax: number, ay: number, az: number, bx: number, by: number, bz: number, cx: number, cy: number, cz: number): void | Accumulate a vector which is cross product vectors from origin (ax,ay,az) to targets (bx,by,bz) and (cx,cy,cz) | |
| angleFromPerpendicular(planeNormal: Vector3d): Angle | Return the (strongly-typed) angle from this vector to the plane perpendicular to planeNormal. | |
| angleTo(vectorB: Vector3d): Angle | Return the (strongly-typed) angle from this vector to vectorB. | |
| angleToXY(vectorB: Vector3d): Angle | Return the (strongly-typed) angle from this vector to vectorB, using only the xy parts. | |
| clone(result?: Vector3d): Vector3d | Copy xyz from this instance to a new (or optionally reused) Vector3d | |
| crossProduct(vectorB: Vector3d, result?: Vector3d): Vector3d | Return the cross product of this vector and vectorB. | |
| crossProductMagnitude(vectorB: Readonly<WritableXYAndZ>): number | Compute the magnitude of a cross product (without allocating a temporary vector object) | |
| crossProductMagnitudeSquared(vectorB: Readonly<WritableXYAndZ>): number | Compute the squared magnitude of a cross product (without allocating a temporary vector object) | |
| crossProductStartEnd(pointA: Point3d, pointB: Point3d, result?: Vector3d): Vector3d | Cross product with vector from pointA to pointB | |
| crossProductStartEndXY(pointA: Point3d, pointB: Point3d): number | Cross product (xy parts only) with vector from pointA to pointB | |
| crossProductXY(vectorB: Vector3d): number | Return the cross product of the instance and vectorB, using only the x and y parts. | |
| crossProductXYZ(x: number, y: number, z: number, result?: Vector3d): Vector3d | Return cross product of this with the vector (x, y, z) |
|
| dotProduct(vectorB: Readonly<WritableXYAndZ>): number | Return the dot product of this vector with vectorB. | |
| dotProductStart3dEnd4d(pointA: Point3d, pointB: Point4d): number | Returns the dot product with vector (pointB - pointA * pointB.w) | |
| dotProductStartEnd(pointA: Readonly<WritableXYAndZ>, pointB: Readonly<WritableXYAndZ>): number | Returns the dot product of this vector with the with vector from pointA to pointB | |
| dotProductStartEndXY(pointA: Point3d, pointB: Point3d): number | Dot product with vector from pointA to pointB, using only xy parts | |
| dotProductStartEndXYZ(pointA: Point3d, x: number, y: number, z: number): number | Dot product with vector from pointA to pointB, with pointB given as x,y,z | |
| dotProductStartEndXYZW(pointA: Point3d, wx: number, wy: number, wz: number, w: number): number | Dot product with vector from pointA to pointB, with pointB given as (weighted) wx,wy,wz,w | |
| dotProductXY(vectorB: Vector3d): number | Return the dot product of the instance and vectorB, using only the x and y parts. | |
| dotProductXYZ(x: number, y: number, z: number0): number | Dot product with vector (x,y,z) | |
| fractionOfProjectionToVector(target: Vector3d, defaultFraction: number0): number | Return fractional length of the projection of the instance onto the target vector. | |
| interpolate(fraction: number, vectorB: Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d | Return a vector computed at fractional position between this vector and vectorB | |
| isParallelTo(other: Vector3d, oppositeIsParallel: booleanfalse, returnValueIfAnInputIsZeroLength: booleanfalse, options?: PerpParallelOptions): boolean | Test if this vector is parallel to other. | |
| isPerpendicularTo(other: Vector3d, returnValueIfAnInputIsZeroLength: booleanfalse, options?: PerpParallelOptions): boolean | Test if this vector is perpendicular to other. | |
| minus(vector: Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d | Return the vector difference this - vector |
|
| negate(result?: Vector3d): Vector3d | Return a new vector with components negated from the calling instance. | |
| normalize(result?: Vector3d): undefined | Vector3d | Return a unit vector parallel with this. | |
| normalizeInPlace(): boolean | If this vector has nonzero length, divide by the length to change to a unit vector. | |
| normalizeWithDefault(x: number, y: number, z: number, result?: Vector3d): Vector3d | Normalize this vector, using given xyz as default if length is zero. | |
| normalizeWithLength(result?: Vector3d): { mag: number, v: undefined | Vector3d } | Return a normalized instance and instance length. | |
| planarAngleTo(vectorB: Vector3d, planeNormal: Vector3d): Angle | Return the (strongly-type) angle from this vector to vectorB, | |
| planarRadiansTo(vectorB: Vector3d, planeNormal: Vector3d): number | Return the angle in radians (not as strongly-typed Angle) from this vector to vectorB, | |
| plus(vector: Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d | Return the vector sum this - vector |
|
| plus2Scaled(vectorA: Readonly<WritableXYAndZ>, scalarA: number, vectorB: Readonly<WritableXYAndZ>, scalarB: number, result?: Vector3d): Vector3d | Return the (strongly typed Vector3d) this Vector3d + vectorA * scalarA + vectorB * scalarB |
|
| plus3Scaled(vectorA: Readonly<WritableXYAndZ>, scalarA: number, vectorB: Readonly<WritableXYAndZ>, scalarB: number, vectorC: Readonly<WritableXYAndZ>, scalarC: number, result?: Vector3d): Vector3d | Return the (strongly typed Vector3d) thisVector3d + vectorA * scalarA + vectorB * scalarB + vectorC * scalarC |
|
| plusScaled(vector: Readonly<WritableXYAndZ>, scaleFactor: number, result?: Vector3d): Vector3d | Return vector + vector * scalar | |
| radiansFromPerpendicular(planeNormal: Vector3d): number | Return the angle in radians (not as strongly typed Angle) from this vector to the plane perpendicular to planeNormal. | |
| radiansTo(vectorB: Vector3d): number | Return the angle in radians (not as strongly typed Angle) from this vector to vectorB. | |
| rotate90Around(axis: Vector3d, result?: Vector3d): undefined | Vector3d | Rotate this vector 90 degrees around an axis vector. | |
| rotate90CCWXY(result?: Vector3d): Vector3d | Return a vector same length as this but rotate 90 degrees CCW | |
| rotate90CWXY(result?: Vector3d): Vector3d | Return a vector same length as this but rotated 90 degrees clockwise | |
| rotate90Towards(target: Vector3d, result?: Vector3d): undefined | Vector3d | Return a (new or optionally preallocated) vector that is rotated 90 degrees in | |
| rotateXY(angle: Angle, result?: Vector3d): Vector3d | Rotate the xy parts of this vector around the z axis. | |
| safeDivideOrNull(denominator: number, result?: Vector3d): undefined | Vector3d | Scale the instance by 1.0/denominator. |
|
| scale(scale: number, result?: Vector3d): Vector3d | Return vector * scalar | |
| scaleToLength(length: number, result?: Vector3d): undefined | Vector3d | Return a vector in the direction of this but with specified length. |
|
| setStartEnd(point0: Readonly<WritableXYAndZ>, point1: Readonly<WritableXYAndZ>): void | Set (replace) xyz components so they are a vector from point0 to point1 | |
| signedAngleTo(vectorB: Vector3d, vectorW: Vector3d): Angle | Return the (strongly-typed) angle from this vector to vectorB, measured | |
| signedRadiansTo(vectorB: Vector3d, vectorW: Vector3d): number | Return the angle in radians (not as strongly-typed Angle) from this vector to vectorB, measured |
|
| sizedCrossProduct(vectorB: Vector3d, productLength: number, result?: Vector3d): undefined | Vector3d | Compute cross product with vectorB |
|
| smallerUnorientedAngleTo(vectorB: Vector3d): Angle | Return the smallest (strongly typed) angle from the (bidirectional) line containing this |
|
| smallerUnorientedRadiansTo(vectorB: Vector3d): number | Return the smallest angle (in radians) from the (bidirectional) line containing this |
|
| tripleProduct(vectorB: Vector3d, vectorC: Vector3d): number | Return the triple product of the instance, vectorB, and vectorC | |
| tryNormalizeInPlace(smallestMagnitude: numberGeometry.smallFraction): boolean | Try to normalize (divide by magnitude), storing the result in place. | |
| unitCrossProduct(vectorB: Vector3d, result?: Vector3d): undefined | Vector3d | Compute the cross product of this vector with vectorB. |
|
| unitCrossProductWithDefault(vectorB: Vector3d, x: number, y: number, z: number, result?: Vector3d): Vector3d | Compute the cross product of this vector with vectorB and normalize it. |
|
| unitPerpendicularXY(result?: Vector3d): Vector3d | Return a vector which is in the xy plane, perpendicular to the xy part of this vector, and of unit length. | |
| create(x: number0, y: number0, z: number0, result?: Vector3d): Vector3d Static | Return a Vector3d (new or reused from optional result) | |
| createAdd2Scaled(vectorA: Readonly<WritableXYAndZ>, scaleA: number, vectorB: Readonly<WritableXYAndZ>, scaleB: number, result?: Vector3d): Vector3d Static | Return the (strongly typed Vector3d) thisVector3d + vectorA * scalarA + vectorB * scalarB |
|
| createAdd2ScaledXYZ(ax: number, ay: number, az: number, scaleA: number, bx: number, by: number, bz: number, scaleB: number, result?: Vector3d): Vector3d Static | Return the (strongly typed Vector3d) thisVector3d + vectorA * scalarA + vectorB * scalarB |
|
| createAdd3Scaled(vectorA: Readonly<WritableXYAndZ>, scaleA: number, vectorB: Readonly<WritableXYAndZ>, scaleB: number, vectorC: Readonly<WritableXYAndZ>, scaleC: number, result?: Vector3d): Vector3d Static | Return the (strongly typed Vector3d) thisVector3d + vectorA * scaleA + vectorB * scaleB + vectorC * scaleC |
|
| createArrayFromPackedXYZ(data: Float64Array): Vector3d[] Static | Return an array of vectors constructed from groups of 3 entries in a Float64Array. | |
| createCrossProduct(ux: number, uy: number, uz: number, vx: number, vy: number, vz: number, result?: Vector3d): Vector3d Static | Create a vector which is cross product of two vectors supplied as separate arguments | |
| createCrossProductToPoints(origin: Readonly<WritableXYAndZ>, pointA: Readonly<WritableXYAndZ>, pointB: Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d Static | Return the cross product of the vectors from origin to pointA and pointB. | |
| createFrom(data: Float64Array | number[] | Readonly<WritableXAndY> | Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d Static | Copy contents from another Point3d, Point2d, Vector2d, or Vector3d | |
| createNormalized(x: number0, y: number0, z: number0, result?: Vector3d): undefined | Vector3d Static | Create a normalized vector from the inputs. | |
| createNormalizedStartEnd(startPoint: Readonly<WritableXYAndZ>, endPoint: Readonly<WritableXYAndZ>, result?: Vector3d): undefined | Vector3d Static | Create a normalized vector from startPoint to endPoint | |
| createPolar(r: number, theta: Angle, z?: number): Vector3d Static | Return a vector defined by polar coordinates distance and angle from x axis | |
| createRotateVectorAroundVector(vector: Vector3d, axis: Vector3d, angle?: Angle): undefined | Vector3d Static | Return a vector which is the input vector rotated by angle around the axis vector. |
|
| createSpherical(r: number, theta: Angle, phi: Angle): Vector3d Static | Return a vector defined in spherical coordinates. | |
| createStartEnd(start: Readonly<WritableXAndY> | Readonly<WritableXYAndZ>, end: Readonly<WritableXAndY> | Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d Static | Return a vector defined by start and end points (end - start). | |
| createStartEndXYZXYZ(x0: number, y0: number, z0: number, x1: number, y1: number, z1: number, result?: Vector3d): Vector3d Static | Return a vector (optionally in preallocated result, otherwise newly created) from [x0,y0,z0] to [x1,y1,z1] | |
| createUnitCrossProductToPoints(origin: Readonly<WritableXYAndZ>, pointA: Readonly<WritableXYAndZ>, pointB: Readonly<WritableXYAndZ>, result?: Vector3d): undefined | Vector3d Static | Return the NORMALIZED cross product of the vectors from origin to pointA and pointB, or undefined | |
| createZero(result?: Vector3d): Vector3d Static | Return a vector with 000 xyz parts. | |
| dotProductAsXYAndZ(dataA: Readonly<WritableXYAndZ>, dataB: Readonly<WritableXYAndZ>): number Static | Return the dot product of the xyz components of two inputs that are XYAndZ but otherwise not explicitly Vector3d | |
| fromJSON(json?: XYZProps): Vector3d Static | Convert json to Vector3d. | |
| unitX(scale: number1): Vector3d Static | Return a unit X vector optionally multiplied by a scale | |
| unitY(scale: number1): Vector3d Static | Return a unit Y vector optionally multiplied by a scale | |
| unitZ(scale: number1): Vector3d Static | Return a unit Z vector optionally multiplied by a scale |
Inherited methods
| Name | Inherited from | Description |
|---|---|---|
| addInPlace(other: Readonly<WritableXYAndZ>): void Inherited | XYZ | Add x,y,z from other in place. |
| addScaledInPlace(other: Readonly<WritableXYAndZ>, scale: number): void Inherited | XYZ | Add (in place) the scaled x,y,z of other |
| addXYZInPlace(dx: number0.0, dy: number0.0, dz: number0.0): void Inherited | XYZ | Add to x, y, z parts |
| at(index: number): number Inherited | XYZ | Return the x,y, z component corresponding to 0,1,2 |
| cloneAsPoint3d(): Point3d Inherited | XYZ | Clone strongly typed as Point3d |
| distance(other: Readonly<WritableXYAndZ>): number Inherited | XYZ | Return the distance from this point to other |
| distanceSquared(other: Readonly<WritableXYAndZ>): number Inherited | XYZ | Return squared distance from this point to other |
| distanceSquaredXY(other: Readonly<WritableXAndY>): number Inherited | XYZ | Return squared XY distance from this point to other |
| distanceXY(other: Readonly<WritableXAndY>): number Inherited | XYZ | Return the XY distance from this point to other |
| freeze(): Readonly<Vector3d> Inherited | XYZ | Freeze this XYZ |
| indexOfMaxAbs(): number Inherited | XYZ | Return the index (0,1,2) of the x,y,z component with largest absolute value |
| isAlmostEqual(other: Readonly<Readonly<WritableXYAndZ>>, tol?: number): boolean Inherited | XYZ | Returns true if this and other have equal x,y,z parts within Geometry.smallMetricDistance. |
| isAlmostEqualMetric(other: Readonly<WritableXYAndZ>): boolean Inherited | XYZ | Equality test with Geometry.smallMetricDistance tolerance |
| isAlmostEqualPointPlusScaledVector(other: Readonly<WritableXYAndZ>, vector: Readonly<WritableXYAndZ>, scale: number, tol?: number): boolean Inherited | XYZ | Return true if this and {other + vector*scale} have equal x,y,z parts within Geometry.smallMetricDistance. |
| isAlmostEqualXY(other: Readonly<WritableXAndY>, tol?: number): boolean Inherited | XYZ | Return true if this and other have equal x,y parts within Geometry.smallMetricDistance. |
| isAlmostEqualXYZ(x: number, y: number, z: number, tol?: number): boolean Inherited | XYZ | Return true if this and other have equal x,y,z parts within Geometry.smallMetricDistance. |
| isExactEqual(other: Readonly<WritableXYAndZ>): boolean Inherited | XYZ | Exact equality test. |
| magnitude(): number Inherited | XYZ | Return the sqrt of the sum of squared x,y,z parts |
| magnitudeSquared(): number Inherited | XYZ | Return the sum of squared x,y,z parts |
| magnitudeSquaredXY(): number Inherited | XYZ | Return the sum of squared x,y parts |
| magnitudeXY(): number Inherited | XYZ | Return sqrt of the sum of squared x,y parts |
| maxAbs(): number Inherited | XYZ | Return the largest absolute value of any component |
| maxDiff(other: Readonly<WritableXYAndZ>): number Inherited | XYZ | Return the largest absolute distance between corresponding components |
| scaledVectorTo(other: Readonly<WritableXYAndZ>, scale: number, result?: Vector3d): Vector3d Inherited | XYZ | Return a multiple of a the (full length) vector from this point to other |
| scaleInPlace(scale: number): void Inherited | XYZ | Multiply the x, y, z parts by scale. |
| set(x: number0, y: number0, z: number0): void Inherited | XYZ | Set the x,y,z parts. |
| setAt(index: number, value: number): void Inherited | XYZ | Set value at index 0 or 1 or 2 |
| setFrom(other: Float64Array | Readonly<WritableXAndY> | Readonly<WritableXYAndZ>): void Inherited | XYZ | Set the x,y,z parts from one of these input types |
| setFromJSON(json?: XYZProps): void Inherited | XYZ | Set the x,y,z properties from one of several json forms: |
| setFromPoint3d(other?: Readonly<WritableXYAndZ>): void Inherited | XYZ | Set the x,y,z parts from a Point3d. |
| setFromVector3d(other?: Vector3d): void Inherited | XYZ | Set the x,y,z parts from a Vector3d |
| setZero(): void Inherited | XYZ | Set the x,y,z parts to zero. |
| subtractInPlace(other: Readonly<WritableXYAndZ>): void Inherited | XYZ | Subtract x,y,z from other in place. |
| toArray(): number[] Inherited | XYZ | Return as an array [x,y,z] |
| toFloat64Array(): Float64Array Inherited | XYZ | Pack the x,y,z values in a Float64Array. |
| toJSON(): XYZProps Inherited | XYZ | Return a JSON object as array [x,y,z] |
| toJSONXYZ(): XYZProps Inherited | XYZ | Return a JSON object as key value pairs {x: value, y: value, z: value} |
| unitVectorTo(target: Readonly<WritableXYAndZ>, result?: Vector3d): undefined | Vector3d Inherited | XYZ | Return a unit vector from this vector to other. |
| vectorTo(other: Readonly<WritableXYAndZ>, result?: Vector3d): Vector3d Inherited | XYZ | Return a (full length) vector from this point to other |
| accessX(arg: any, defaultValue?: number): undefined | number Static Inherited | XYZ | Look for (in order) an x coordinate present as: |
| accessY(arg: any, defaultValue?: number): undefined | number Static Inherited | XYZ | Look for (in order) a y coordinate present as: |
| accessZ(arg: any, defaultValue?: number): undefined | number Static Inherited | XYZ | Look for (in order) a z coordinate present as: |
| hasZ(arg: any): arg is Readonly<WriteableHasZ> Static Inherited | XYZ | Type guard to determine whether an object has a member called "z" |
| isAnyImmediatePointType(arg: any): arg is number[] | Readonly<WritableXAndY> | Readonly<WritableXYAndZ> Static Inherited | XYZ | Test if arg is any of: |
| isXAndY(arg: any): arg is Readonly<WritableXAndY> Static Inherited | XYZ | Type guard for XAndY. |
| isXYAndZ(arg: any): arg is Readonly<WritableXYAndZ> Static Inherited | XYZ | Type guard for XYAndZ. |
| x(xyz: XYZProps, defaultValue: number0): number Static Inherited | XYZ | Access x part of XYZProps (which may be .x or [0]) |
| y(xyz: XYZProps, defaultValue: number0): number Static Inherited | XYZ | Access x part of XYZProps (which may be .x or [0]) |
| z(xyz: XYZProps, defaultValue: number0): number Static Inherited | XYZ | Access x part of XYZProps (which may be .x or [0]) |
Inherited properties
| Name | Type | Inherited from | Description |
|---|---|---|---|
| isAlmostZero Accessor Inherited ReadOnly | boolean | XYZ | Return true if the x,y,z components are all nearly zero to tolerance Geometry.smallMetricDistance |
| isZero Accessor Inherited ReadOnly | boolean | XYZ | Return true if the x,y,z components are all exactly zero |
| x Inherited | number | XYZ | x coordinate |
| y Inherited | number | XYZ | y coordinate |
| z Inherited | number | XYZ | z coordinate |
Defined in
- geometry3d/Point3dVector3d.ts Line 697
Last Updated: 17 December, 2024
Found something wrong, missing, or unclear on this page?Raise an issue in our repo.