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Shapemetry API / Ellipse2d

Class: Ellipse2d ​

Defined in: curve2d/Ellipse2d.ts:22

Ellipse arc in 2D, ported from Geom2d_Ellipse + Geom2d_TrimmedCurve.

Parametrization (OCCT §7.4.2): P(u) = center + majorRadius·cos(u)·xAxis + minorRadius·sin(u)·yAxis where yAxis = (-xAxis.y, xAxis.x) u(t) = startAngle + sweepAngle·t, t ∈ [0, 1]

For a circle: majorRadius == minorRadius, xAxis may be (1,0). sweepAngle > 0 = CCW, sweepAngle < 0 = CW.

Implements ​

Constructors ​

Constructor ​

new Ellipse2d(center, majorRadius, minorRadius, xAxis, startAngle, sweepAngle): Ellipse2d

Defined in: curve2d/Ellipse2d.ts:26

Parameters ​

center ​

Point2d

majorRadius ​

number

minorRadius ​

number

xAxis ​

Vector2d

startAngle ​

number

sweepAngle ​

number

Returns ​

Ellipse2d

Properties ​

_GL5N ​

readonly static _GL5N: number[]

Defined in: curve2d/Ellipse2d.ts:23

_GL5W ​

readonly static _GL5W: number[]

Defined in: curve2d/Ellipse2d.ts:24

center ​

readonly center: Point2d

Defined in: curve2d/Ellipse2d.ts:27

majorRadius ​

readonly majorRadius: number

Defined in: curve2d/Ellipse2d.ts:28

minorRadius ​

readonly minorRadius: number

Defined in: curve2d/Ellipse2d.ts:29

xAxis ​

readonly xAxis: Vector2d

Defined in: curve2d/Ellipse2d.ts:30

startAngle ​

readonly startAngle: number

Defined in: curve2d/Ellipse2d.ts:31

sweepAngle ​

readonly sweepAngle: number

Defined in: curve2d/Ellipse2d.ts:32

Accessors ​

start ​

Get Signature ​

get start(): Point2d

Defined in: curve2d/Ellipse2d.ts:118

Returns ​

Point2d

Implementation of ​

Curve2d.start

end ​

Get Signature ​

get end(): Point2d

Defined in: curve2d/Ellipse2d.ts:119

Returns ​

Point2d

Implementation of ​

Curve2d.end

isClosed ​

Get Signature ​

get isClosed(): boolean

Defined in: curve2d/Ellipse2d.ts:121

Returns ​

boolean

Implementation of ​

Curve2d.isClosed

Methods ​

toJSON() ​

toJSON(): Ellipse2dJSON

Defined in: curve2d/Ellipse2d.ts:37

Returns ​

Ellipse2dJSON

Implementation of ​

Curve2d.toJSON

fromJSON() ​

static fromJSON(d): Ellipse2d

Defined in: curve2d/Ellipse2d.ts:48

Parameters ​

d ​

Ellipse2dJSON

Returns ​

Ellipse2d

fromCircleArc() ​

static fromCircleArc(center, startPoint, sweepAngle): Ellipse2d

Defined in: curve2d/Ellipse2d.ts:62

Circle arc: create from center, a start point, and a signed sweep angle.

Parameters ​

center ​

Point2d

startPoint ​

Point2d

sweepAngle ​

number

Returns ​

Ellipse2d

fromCenterStartEnd() ​

static fromCenterStartEnd(center, start, end): Ellipse2d | null

Defined in: curve2d/Ellipse2d.ts:70

Circle arc: center + start + end, CCW shorter sweep. Returns null if degenerate.

Parameters ​

center ​

Point2d

start ​

Point2d

end ​

Point2d

Returns ​

Ellipse2d | null

fromThreePoints() ​

static fromThreePoints(start, middle, end): Ellipse2d | null

Defined in: curve2d/Ellipse2d.ts:81

Circle arc through three points. Returns null if collinear.

Parameters ​

start ​

Point2d

middle ​

Point2d

end ​

Point2d

Returns ​

Ellipse2d | null

fromStartTangentEnd() ​

static fromStartTangentEnd(start, tangent, end): Ellipse2d | null

Defined in: curve2d/Ellipse2d.ts:100

Circle arc: start point, tangent at start, end point. Returns null if degenerate.

Parameters ​

start ​

Point2d

tangent ​

Vector2d

end ​

Point2d

Returns ​

Ellipse2d | null

pointAt() ​

pointAt(t): Point2d

Defined in: curve2d/Ellipse2d.ts:128

Parameters ​

t ​

number

Returns ​

Point2d

Implementation of ​

Curve2d.pointAt

tangentAt() ​

tangentAt(t): Vector2d

Defined in: curve2d/Ellipse2d.ts:138

Parameters ​

t ​

number

Returns ​

Vector2d

Implementation of ​

Curve2d.tangentAt

axesAtParam() ​

axesAtParam(t): Axes2d

Defined in: curve2d/Ellipse2d.ts:151

Parameters ​

t ​

number

Returns ​

Axes2d

Implementation of ​

Curve2d.axesAtParam

length() ​

length(): number

Defined in: curve2d/Ellipse2d.ts:156

Returns ​

number

Implementation of ​

Curve2d.length

lengthAt() ​

lengthAt(t): number

Defined in: curve2d/Ellipse2d.ts:168

Parameters ​

t ​

number

Returns ​

number

Implementation of ​

Curve2d.lengthAt

paramAtLength() ​

paramAtLength(s): number

Defined in: curve2d/Ellipse2d.ts:169

Parameters ​

s ​

number

Returns ​

number

Implementation of ​

Curve2d.paramAtLength

closestPoint() ​

closestPoint(p): Point2d

Defined in: curve2d/Ellipse2d.ts:170

Parameters ​

p ​

Point2d

Returns ​

Point2d

Implementation of ​

Curve2d.closestPoint

signedArea() ​

signedArea(): number

Defined in: curve2d/Ellipse2d.ts:183

Signed area contribution for Green's theorem (used by Shape2d).

Analytic integral of 0.5 * ∫(x·dy/du − y·dx/du) du from U1 to U2. Derivation: expanding the integrand and using xa⊥ya, |xa|=|ya|=1: x·dy/du − y·dx/du = cx·(−a·sin·xa.y + b·cos·ya.y) − cy·(−a·sin·xa.x + b·cos·ya.x) + a·b Integrating analytically yields the formula below.

Returns ​

number

boundingBox() ​

boundingBox(): BoundingBox2d

Defined in: curve2d/Ellipse2d.ts:196

Returns ​

BoundingBox2d

Implementation of ​

Curve2d.boundingBox

tessellate() ​

tessellate(tol, out): void

Defined in: curve2d/Ellipse2d.ts:214

Parameters ​

tol ​

number

out ​

Point2d[]

Returns ​

void

splitAt() ​

splitAt(t): [Ellipse2d, Ellipse2d]

Defined in: curve2d/Ellipse2d.ts:224

Parameters ​

t ​

number

Returns ​

[Ellipse2d, Ellipse2d]

Implementation of ​

Curve2d.splitAt

reverse() ​

reverse(): Ellipse2d

Defined in: curve2d/Ellipse2d.ts:233

Returns ​

Ellipse2d

Implementation of ​

Curve2d.reverse

transform() ​

transform(m): Ellipse2d

Defined in: curve2d/Ellipse2d.ts:242

Apply affine transformation. Uses 2×2 SVD to correctly handle non-uniform scaling and shear (xAxis and radii are recomputed from the transformed axis vectors). Determinant sign determines if sweep direction flips.

Parameters ​

m ​

Transformation2d

Returns ​

Ellipse2d

Implementation of ​

Curve2d.transform

clone() ​

clone(): Ellipse2d

Defined in: curve2d/Ellipse2d.ts:281

Returns ​

Ellipse2d

Implementation of ​

Curve2d.clone

toNurbsCurve() ​

toNurbsCurve(): NurbsCurve

Defined in: curve2d/Ellipse2d.ts:285

Returns ​

NurbsCurve

_pointAtAngle() ​

_pointAtAngle(u): Point2d

Defined in: curve2d/Ellipse2d.ts:298

Parameters ​

u ​

number

Returns ​

Point2d