Geom2dEval — OpenCascade.js

OCCT package Geom2dEval: Geom2dEval_AHTBezierCurve, Geom2dEval_ArchimedeanSpiralCurve, Geom2dEval_CircleInvoluteCurve, Geom2dEval_LogarithmicSpiralCurve,…

Geom2dEval_AHTBezierCurve

Geom2d_BoundedCurveGeom2d_CurveGeom2d_GeometryStandard_Transient

2D Algebraic-Hyperbolic-Trigonometric Bezier curve. Uses a mixed basis: {1, t, ..., t^k, sinh(alphat), cosh(alphat), sin(betat), cos(betat)}. The number of basis functions = algDegree + 1 + 2*(alpha>0) + 2*(beta>0) must equal NbPoles. Parameter range: [0, 1].

Constructors(2)

constructor(thePoles: NCollection_Array1_gp_Pnt2d, theAlgDegree: number, theAlpha: number, theBeta: number): Geom2dEval_AHTBezierCurve
Non-rational constructor.
Parameters (4)
- thePoles —
  control points
- theAlgDegree —
  algebraic polynomial degree (>= 0)
- theAlpha —
  hyperbolic frequency (>= 0, 0 = no hyperbolic terms)
- theBeta —
  trigonometric frequency (>= 0, 0 = no trig terms)
constructor(thePoles: NCollection_Array1_gp_Pnt2d, theWeights: NCollection_Array1_double, theAlgDegree: number, theAlpha: number, theBeta: number): Geom2dEval_AHTBezierCurve
Rational constructor.
Parameters (5)
- thePoles —
  control points
- theWeights —
  weights for each pole (must be > 0)
- theAlgDegree —
  algebraic polynomial degree (>= 0)
- theAlpha —
  hyperbolic frequency (>= 0, 0 = no hyperbolic terms)
- theBeta —
  trigonometric frequency (>= 0, 0 = no trig terms)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(25)

Poles(): NCollection_Array1_gp_Pnt2d
Returns the array of poles.
Weights(): NCollection_Array1_double
Returns the array of weights.
AlgDegree(): number
Returns the algebraic polynomial degree.
Alpha(): number
Returns the hyperbolic frequency parameter.
Beta(): number
Returns the trigonometric frequency parameter.
NbPoles(): number
Returns the number of poles.
IsRational(): boolean
Returns true if the curve is rational (has explicit weights).
StartPoint(): gp_Pnt2d
Returns the start point of the curve (at parameter 0).
EndPoint(): gp_Pnt2d
Returns the end point of the curve (at parameter 1).
Reverse(): void
Reversal is not supported for this eval curve.
ReversedParameter(U: number): number
Reversal is not supported for this eval curve.
Parameters (1)
- U
FirstParameter(): number
Returns the value of the first parameter: 0.0.
LastParameter(): number
Returns the value of the last parameter: 1.0.
IsClosed(): boolean
Returns true if the curve is closed.
IsPeriodic(): boolean
Returns false. The AHT-Bezier curve is not periodic.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN.
IsCN(N: number): boolean
Returns true for any N. The AHT-Bezier curve is infinitely differentiable.
Parameters (1)
- N
EvalD0(U: number): gp_Pnt2d
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom2d_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom2d_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom2d_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec2d
Computes the N-th derivative at parameter U.
Parameters (2)
- U —
  the parameter value
- N —
  the derivative order (must be >= 1)
Returns
the N-th derivative vector
Transform(T: gp_Trsf2d): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom2d_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

Geom2dEval_ArchimedeanSpiralCurve

Geom2d_CurveGeom2d_GeometryStandard_Transient

Describes a 2D Archimedean spiral curve. The polar equation is r = a + b*t, where a is the initial radius and b is the growth rate per radian.
The parametric equation is:

where:

O, XDir are from the local coordinate system,
YDir is the perpendicular to XDir,
a is the initial radius (>= 0),
b is the growth rate per radian (> 0).
The parameter range is [0, +inf). The curve is neither periodic nor closed.

Constructors(1)

constructor(thePosition: gp_Ax2d, theInitialRadius: number, theGrowthRate: number): Geom2dEval_ArchimedeanSpiralCurve
Creates an Archimedean spiral.
Parameters (3)
- thePosition —
  the local coordinate system
- theInitialRadius —
  the initial radius (must be >= 0)
- theGrowthRate —
  the growth rate per radian (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(19)

Position(): gp_Ax2d
Returns the local coordinate system.
InitialRadius(): number
Returns the initial radius.
GrowthRate(): number
Returns the growth rate per radian.
Reverse(): void
Reversal is not supported for this eval curve.
ReversedParameter(U: number): number
Reversal is not supported for this eval curve.
Parameters (1)
- U
FirstParameter(): number
Returns 0.
LastParameter(): number
Returns Precision::Infinite().
IsClosed(): boolean
Returns false.
IsPeriodic(): boolean
Returns false.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN.
IsCN(N: number): boolean
Returns true for any N >= 0.
Parameters (1)
- N
EvalD0(U: number): gp_Pnt2d
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom2d_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom2d_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom2d_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec2d
Computes the N-th derivative at parameter U.
Parameters (2)
- U
- N
Transform(T: gp_Trsf2d): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom2d_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

Geom2dEval_CircleInvoluteCurve

Geom2d_CurveGeom2d_GeometryStandard_Transient

Describes a 2D involute of a circle. Critical for gear tooth profiles.
The parametric equation is:

where:

O, XDir are from the local coordinate system,
YDir is the perpendicular to XDir,
R is the base circle radius (> 0).
The parameter range is [0, +inf). At t=0, the curve starts on the base circle. D1(0) = (0,0) (cusp). |D1(t)| = R*t (speed linear in parameter).

Constructors(1)

constructor(thePosition: gp_Ax2d, theRadius: number): Geom2dEval_CircleInvoluteCurve
Creates an involute of a circle.
Parameters (2)
- thePosition —
  the local coordinate system
- theRadius —
  the base circle radius (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(18)

Position(): gp_Ax2d
Returns the local coordinate system.
Radius(): number
Returns the base circle radius.
Reverse(): void
Reversal is not supported for this eval curve.
ReversedParameter(U: number): number
Reversal is not supported for this eval curve.
Parameters (1)
- U
FirstParameter(): number
Returns 0.
LastParameter(): number
Returns Precision::Infinite().
IsClosed(): boolean
Returns false.
IsPeriodic(): boolean
Returns false.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN.
IsCN(N: number): boolean
Returns true for any N >= 0.
Parameters (1)
- N
EvalD0(U: number): gp_Pnt2d
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom2d_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom2d_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom2d_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec2d
Computes the N-th derivative at parameter U.
Parameters (2)
- U
- N
Transform(T: gp_Trsf2d): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom2d_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

Geom2dEval_LogarithmicSpiralCurve

Geom2d_CurveGeom2d_GeometryStandard_Transient

Describes a 2D logarithmic (equiangular) spiral curve. The polar equation is r = aexp(bt).
The parametric equation is:

where:

O, XDir are from the local coordinate system,
YDir is the perpendicular to XDir,
a is the scale factor (> 0),
b is the growth exponent (> 0).
The parameter range is (-inf, +inf). The angle between tangent and radial direction is constant = atan(1/b).

Constructors(1)

constructor(thePosition: gp_Ax2d, theScale: number, theGrowthExponent: number): Geom2dEval_LogarithmicSpiralCurve
Creates a logarithmic spiral.
Parameters (3)
- thePosition —
  the local coordinate system
- theScale —
  the scale factor (must be > 0)
- theGrowthExponent —
  the growth exponent (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(20)

Position(): gp_Ax2d
Returns the local coordinate system.
Scale(): number
Returns the scale factor.
Scale(P: gp_Pnt2d, S: number): void
Returns the scale factor.
Parameters (2)
- P
- S
GrowthExponent(): number
Returns the growth exponent.
Reverse(): void
Reversal is not supported for this eval curve.
ReversedParameter(U: number): number
Reversal is not supported for this eval curve.
Parameters (1)
- U
FirstParameter(): number
Returns -Precision::Infinite().
LastParameter(): number
Returns Precision::Infinite().
IsClosed(): boolean
Returns false.
IsPeriodic(): boolean
Returns false.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN.
IsCN(N: number): boolean
Returns true for any N >= 0.
Parameters (1)
- N
EvalD0(U: number): gp_Pnt2d
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom2d_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom2d_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom2d_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec2d
Computes the N-th derivative at parameter U.
Parameters (2)
- U
- N
Transform(T: gp_Trsf2d): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom2d_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

Geom2dEval_RepCurveDesc_Base

Standard_Transient

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): Geom2dEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Instance methods(2)

GetKind(): Geom2dEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Properties(1)

MaxDerivOrder:number

Geom2dEval_RepCurveDesc_Domain1d

Constructors(1)

constructor(): Geom2dEval_RepCurveDesc_Domain1d

Instance methods(1)

Contains(theU: number): boolean
Parameters (1)
- theU

Properties(2)

First:number
Last:number

Geom2dEval_RepCurveDesc_Full

Geom2dEval_RepCurveDesc_BaseStandard_Transient

Constructors(1)

constructor(): Geom2dEval_RepCurveDesc_Full

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): Geom2dEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Geom2dEval_RepCurveDesc_Map1d

Constructors(1)

constructor(): Geom2dEval_RepCurveDesc_Map1d

Instance methods(3)

IsIdentity(): boolean
IsValid(): boolean
Map(theU: number): number
Parameters (1)
- theU

Properties(2)

Scale:number
Offset:number

Geom2dEval_RepCurveDesc_Mapped

Geom2dEval_RepCurveDesc_BaseStandard_Transient

Constructors(1)

constructor(): Geom2dEval_RepCurveDesc_Mapped

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): Geom2dEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Properties(3)

MaxDerivOrder:number
Domain:Geom2dEval_RepCurveDesc_Domain1d | null | undefined
ParamMap:Geom2dEval_RepCurveDesc_Map1d

Geom2dEval_SineWaveCurve

Geom2d_CurveGeom2d_GeometryStandard_Transient

Describes a 2D sine wave curve.
The parametric equation is:

where:

O, XDir, YDir are from the local coordinate system (gp_Ax2d gives XDir, YDir is the perpendicular),
A is the amplitude (> 0),
omega is the angular frequency (> 0),
phi is the phase shift.
The parameter range is (-inf, +inf). The curve is not periodic.

Constructors(1)

constructor(thePosition: gp_Ax2d, theAmplitude: number, theOmega: number, thePhase?: number): Geom2dEval_SineWaveCurve
Creates a 2D sine wave curve.
Parameters (4)
- thePosition —
  the local coordinate system
- theAmplitude —
  the wave amplitude (must be > 0)
- theOmega —
  the angular frequency (must be > 0)
- thePhase —
  the phase shift (default 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(20)

Position(): gp_Ax2d
Returns the local coordinate system.
Amplitude(): number
Returns the amplitude.
Omega(): number
Returns the angular frequency.
Phase(): number
Returns the phase shift.
Reverse(): void
Reversal is not supported for this eval curve.
ReversedParameter(U: number): number
Reversal is not supported for this eval curve.
Parameters (1)
- U
FirstParameter(): number
Returns -Precision::Infinite().
LastParameter(): number
Returns Precision::Infinite().
IsClosed(): boolean
Returns false.
IsPeriodic(): boolean
Returns false.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN.
IsCN(N: number): boolean
Returns true for any N >= 0.
Parameters (1)
- N
EvalD0(U: number): gp_Pnt2d
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom2d_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom2d_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom2d_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec2d
Computes the N-th derivative at parameter U.
Parameters (2)
- U
- N
Transform(T: gp_Trsf2d): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom2d_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

Geom2dEval_TBezierCurve

Geom2d_BoundedCurveGeom2d_CurveGeom2d_GeometryStandard_Transient

2D Trigonometric Bezier curve. Uses a trigonometric Bernstein-like basis over the space {1, sin(alphat), cos(alphat), ..., sin(nalphat), cos(nalphat)}.
The parameter domain is [0, Pi/alpha]. The number of control points is 2*n + 1 for order n.
The alpha parameter controls the frequency of the trigonometric basis. A T-Bezier curve of order n with poles P_0, P_1, ..., P_{2n} is:

where:

T_0(t) = 1
T_{2k-1}(t) = sin(k * alpha * t), for k = 1..n
T_{2k}(t) = cos(k * alpha * t), for k = 1..n
For rational curves, each pole is weighted:

Constructors(2)

constructor(thePoles: NCollection_Array1_gp_Pnt2d, theAlpha: number): Geom2dEval_TBezierCurve
Constructs a non-rational T-Bezier curve from poles and alpha.
Parameters (2)
- thePoles —
  control points (1-based, size must be odd >= 3)
- theAlpha —
  frequency parameter (must be > 0)
constructor(thePoles: NCollection_Array1_gp_Pnt2d, theWeights: NCollection_Array1_double, theAlpha: number): Geom2dEval_TBezierCurve
Constructs a rational T-Bezier curve.
Parameters (3)
- thePoles —
  control points (1-based, size must be odd >= 3)
- theWeights —
  weights (same size as poles, all > 0)
- theAlpha —
  frequency parameter (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(24)

Poles(): NCollection_Array1_gp_Pnt2d
Returns the poles array.
Weights(): NCollection_Array1_double
Returns the weights array (empty if non-rational).
Alpha(): number
Returns the frequency parameter alpha.
NbPoles(): number
Returns the number of poles.
Order(): number
Returns the trigonometric order n (NbPoles = 2*n + 1).
IsRational(): boolean
Returns true if the curve is rational.
StartPoint(): gp_Pnt2d
Returns the start point C(0).
EndPoint(): gp_Pnt2d
Returns the end point C(Pi/alpha).
Reverse(): void
Reversal is not supported for this eval curve.
ReversedParameter(U: number): number
Reversal is not supported for this eval curve.
Parameters (1)
- U
FirstParameter(): number
Returns the first parameter value: 0.0.
LastParameter(): number
Returns the last parameter value: Pi/alpha.
IsClosed(): boolean
Returns true if StartPoint and EndPoint coincide.
IsPeriodic(): boolean
Returns false. T-Bezier curves are not periodic.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN. T-Bezier curves are infinitely differentiable.
IsCN(N: number): boolean
Returns true for all N. T-Bezier curves are infinitely differentiable.
Parameters (1)
- N
EvalD0(U: number): gp_Pnt2d
Computes the point C(U).
Parameters (1)
- U
EvalD1(U: number): Geom2d_Curve_ResD1
Computes the point and first derivative at U.
Parameters (1)
- U
EvalD2(U: number): Geom2d_Curve_ResD2
Computes the point and first two derivatives at U.
Parameters (1)
- U
EvalD3(U: number): Geom2d_Curve_ResD3
Computes the point and first three derivatives at U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec2d
Computes the N-th derivative at U.
Parameters (2)
- U —
  parameter value
- N —
  derivative order (must be >= 1)
Returns
the N-th derivative vector
Transform(T: gp_Trsf2d): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom2d_Geometry
Creates a new object which is a copy of this T-Bezier curve.
DynamicType(): Standard_Type