GeomEval — OpenCascade.js

OCCT package GeomEval: GeomEval_AHTBezierCurve, GeomEval_AHTBezierSurface, GeomEval_CircularHelicoidSurface, GeomEval_CircularHelixCurve, and 19 more…

GeomEval_AHTBezierCurve

Geom_BoundedCurveGeom_CurveGeom_GeometryStandard_Transient

3D 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_Pnt, theAlgDegree: number, theAlpha: number, theBeta: number): GeomEval_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_Pnt, theWeights: NCollection_Array1_double, theAlgDegree: number, theAlpha: number, theBeta: number): GeomEval_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_Pnt
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_Pnt
Returns the start point of the curve (at parameter 0).
EndPoint(): gp_Pnt
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_Pnt
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec
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_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

GeomEval_AHTBezierSurface

Geom_BoundedSurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Tensor-product Algebraic-Hyperbolic-Trigonometric Bezier surface. Uses a mixed basis in each parametric direction: {1, t, ..., t^k, sinh(alphat), cosh(alphat), sin(betat), cos(betat)}.
Separate AHT parameters per direction: (algDegreeU, alphaU, betaU) and (algDegreeV, alphaV, betaV).
The number of basis functions in each direction must equal the number of poles in that direction. Parameter range: U in [0, 1], V in [0, 1].

Constructors(2)

constructor(thePoles: NCollection_Array2_gp_Pnt, theAlgDegreeU: number, theAlgDegreeV: number, theAlphaU: number, theAlphaV: number, theBetaU: number, theBetaV: number): GeomEval_AHTBezierSurface
Non-rational constructor.
Parameters (7)
- thePoles —
  2D array of control points
- theAlgDegreeU —
  algebraic polynomial degree in U (>= 0)
- theAlgDegreeV —
  algebraic polynomial degree in V (>= 0)
- theAlphaU —
  hyperbolic frequency in U (>= 0)
- theAlphaV —
  hyperbolic frequency in V (>= 0)
- theBetaU —
  trigonometric frequency in U (>= 0)
- theBetaV —
  trigonometric frequency in V (>= 0)
constructor(thePoles: NCollection_Array2_gp_Pnt, theWeights: NCollection_Array2_double, theAlgDegreeU: number, theAlgDegreeV: number, theAlphaU: number, theAlphaV: number, theBetaU: number, theBetaV: number): GeomEval_AHTBezierSurface
Rational constructor.
Parameters (8)
- thePoles —
  2D array of control points
- theWeights —
  2D array of weights (must be > 0)
- theAlgDegreeU —
  algebraic polynomial degree in U (>= 0)
- theAlgDegreeV —
  algebraic polynomial degree in V (>= 0)
- theAlphaU —
  hyperbolic frequency in U (>= 0)
- theAlphaV —
  hyperbolic frequency in V (>= 0)
- theBetaU —
  trigonometric frequency in U (>= 0)
- theBetaV —
  trigonometric frequency in V (>= 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(34)

Poles(): NCollection_Array2_gp_Pnt
Returns the 2D array of poles.
Weights(): NCollection_Array2_double
Returns the 2D array of weights.
AlgDegreeU(): number
Returns the algebraic polynomial degree in U.
AlgDegreeV(): number
Returns the algebraic polynomial degree in V.
AlphaU(): number
Returns the hyperbolic frequency in U.
AlphaV(): number
Returns the hyperbolic frequency in V.
BetaU(): number
Returns the trigonometric frequency in U.
BetaV(): number
Returns the trigonometric frequency in V.
NbPolesU(): number
Returns the number of poles in U direction.
NbPolesV(): number
Returns the number of poles in V direction.
IsURational(): boolean
Returns true if the surface is rational in U direction.
IsVRational(): boolean
Returns true if the surface is rational in V direction.
UReverse(): void
Reversal is not supported for this eval surface.
VReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns the parametric bounds.
Parameters (4)
- U1 —
  lower U bound (0)
- U2 —
  upper U bound (1)
- V1 —
  lower V bound (0)
- V2 —
  upper V bound (1)
Returns
A result object with fields:
- U1: lower U bound (0)
- U2: upper U bound (1)
- V1: lower V bound (0)
- V2: upper V bound (1)
IsUClosed(): boolean
Returns false. The AHT-Bezier surface is not closed in U.
IsVClosed(): boolean
Returns false. The AHT-Bezier surface is not closed in V.
IsUPeriodic(): boolean
Returns false. The AHT-Bezier surface is not periodic in U.
IsVPeriodic(): boolean
Returns false. The AHT-Bezier surface is not periodic in V.
UIso(U: number): Geom_Curve
Isoparametric curve extraction is not supported for this eval surface.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Isoparametric curve extraction is not supported for this eval surface.
Parameters (1)
- V
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN.
IsCNu(N: number): boolean
Returns true for any N.
Parameters (1)
- N
IsCNv(N: number): boolean
Returns true for any N.
Parameters (1)
- N
EvalD0(U: number, V: number): gp_Pnt
Computes the point at parameters (U, V).
Parameters (2)
- U
- V
EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in U and Nv in V.
Parameters (4)
- U —
  the u parameter
- V —
  the v parameter
- Nu —
  derivative order in u (must be >= 0)
- Nv —
  derivative order in v (must be >= 0)
Returns
the derivative vector
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this surface.
DynamicType(): Standard_Type

GeomEval_CircularHelicoidSurface

Geom_ElementarySurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Describes a circular helicoid surface. A ruled surface generated by a line segment rotating uniformly about an axis while translating along it. Named "circular" because the generating line sweeps circular helices at constant radius.
The parametric equation is:

where:

O, XDir, YDir, ZDir are from the local coordinate system (gp_Ax3),
P is the pitch (axial advance per 2*Pi turn, must be != 0).
The parametric range is (-inf, +inf) for both u and v. The surface is neither periodic nor closed. Continuity is GeomAbs_CN.

Constructors(1)

constructor(thePosition: gp_Ax3, thePitch: number): GeomEval_CircularHelicoidSurface
Creates a circular helicoid surface.
Parameters (2)
- thePosition —
  the local coordinate system
- thePitch —
  the axial advance per 2*Pi turn (must be != 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(21)

Pitch(): number
Returns the pitch.
SetPitch(thePitch: number): void
Sets a new pitch value.
Parameters (1)
- thePitch —
  the new pitch (must be != 0)
UReverse(): void
Reversal is not supported for this eval surface.
VReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns infinite bounds for both parameters.
Parameters (4)
- U1
- U2
- V1
- V2
Returns
A result object with fields:
- U1: updated value from the call.
- U2: updated value from the call.
- V1: updated value from the call.
- V2: updated value from the call.
IsUClosed(): boolean
Returns false.
IsVClosed(): boolean
Returns false.
IsUPeriodic(): boolean
Returns false.
IsVPeriodic(): boolean
Returns false.
UIso(U: number): Geom_Curve
Isoparametric curve extraction is not supported for this eval surface.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Isoparametric curve extraction is not supported for this eval surface.
Parameters (1)
- V
EvalD0(U: number, V: number): gp_Pnt
Computes the point S(U, V) on the surface.
Parameters (2)
- U
- V
EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in u and Nv in v.
Parameters (4)
- U
- V
- Nu
- Nv
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this surface.
DynamicType(): Standard_Type

GeomEval_CircularHelixCurve

Geom_CurveGeom_GeometryStandard_Transient

Describes a circular helix in 3D space. A circular helix is an unbounded curve defined by a radius R, a pitch P (axial advance per full 2*Pi turn), and a coordinate system.
The parametric equation is:

where:

O, XDir, YDir, ZDir are the origin and directions of the local coordinate system,
R is the radius (> 0),
P is the pitch (can be negative for left-handed helix).
The parameter range is (-inf, +inf). The curve is neither periodic nor closed. Continuity is GeomAbs_CN.

Constructors(1)

constructor(thePosition: gp_Ax2, theRadius: number, thePitch: number): GeomEval_CircularHelixCurve
Creates a circular helix with the given coordinate system, radius, and pitch.
Parameters (3)
- thePosition —
  the local coordinate system
- theRadius —
  the helix radius (must be > 0)
- thePitch —
  the axial advance per 2*Pi turn (can be negative)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(19)

Position(): gp_Ax2
Returns the local coordinate system.
Radius(): number
Returns the helix radius.
Pitch(): number
Returns the pitch (axial advance per 2*Pi turn).
Reverse(): void
Reversal of parametrization is not supported for this eval geometry.
ReversedParameter(U: number): number
Reversal of parametrization is not supported for this eval geometry.
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_Pnt
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec
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_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

GeomEval_EllipsoidSurface

Geom_ElementarySurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Describes a triaxial ellipsoid surface. An ellipsoid is defined by three semi-axes A, B, C (all > 0) and is positioned in space by a coordinate system (a gp_Ax3 object), the origin of which is the center of the ellipsoid.
The parametric equation of the ellipsoid is:

where:

O, XDir, YDir and ZDir are respectively the origin, the "X Direction", the "Y Direction" and the "Z Direction" of its local coordinate system, and
A, B, C are the three semi-axes.
The parametric range is:
[0, 2*Pi] for u, and
[-Pi/2, Pi/2] for v.
When A == B the surface degenerates to a spheroid (ellipsoid of revolution).
The implicit equation in local coordinates is:

Constructors(1)

constructor(thePosition: gp_Ax3, theA: number, theB: number, theC: number): GeomEval_EllipsoidSurface
Creates a triaxial ellipsoid surface with the given local coordinate system and three semi-axes.
Parameters (4)
- thePosition —
  the local coordinate system
- theA —
  the semi-axis along XDir (must be > 0)
- theB —
  the semi-axis along YDir (must be > 0)
- theC —
  the semi-axis along ZDir (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(26)

SemiAxisA(): number
Returns the semi-axis A (along XDir).
SemiAxisB(): number
Returns the semi-axis B (along YDir).
SemiAxisC(): number
Returns the semi-axis C (along ZDir).
SetSemiAxisA(theA: number): void
Assigns the value theA to the semi-axis A.
Parameters (1)
- theA —
  the new semi-axis value (must be > 0)
SetSemiAxisB(theB: number): void
Assigns the value theB to the semi-axis B.
Parameters (1)
- theB —
  the new semi-axis value (must be > 0)
SetSemiAxisC(theC: number): void
Assigns the value theC to the semi-axis C.
Parameters (1)
- theC —
  the new semi-axis value (must be > 0)
UReverse(): void
Reversal is not supported for this eval surface.
VReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns the parametric bounds U1, U2, V1 and V2 of this ellipsoid.
Parameters (4)
- U1 —
  lower U bound (0)
- U2 —
  upper U bound (2*Pi)
- V1 —
  lower V bound (-Pi/2)
- V2 —
  upper V bound (Pi/2)
Returns
A result object with fields:
- U1: lower U bound (0)
- U2: upper U bound (2*Pi)
- V1: lower V bound (-Pi/2)
- V2: upper V bound (Pi/2)
IsUClosed(): boolean
Returns True. The ellipsoid is closed in U (period 2*Pi).
IsVClosed(): boolean
Returns False.
IsUPeriodic(): boolean
Returns True. The ellipsoid is periodic in U (period 2*Pi).
IsVPeriodic(): boolean
Returns False.
UIso(U: number): Geom_Curve
Computes the U isoparametric curve. For a triaxial ellipsoid, the U isoparametric curve is not a standard Geom_Curve type.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Computes the V isoparametric curve. For a triaxial ellipsoid, the V isoparametric curve is not a standard Geom_Curve type (it is an ellipse only when A == B).
Parameters (1)
- V

EvalD0(U: number, V: number): gp_Pnt

Computes the point P(U, V) on the surface.

Parameters (2)

EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and the first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in the direction u and Nv in the direction v.
Parameters (4)
- U —
  the u parameter
- V —
  the v parameter
- Nu —
  derivative order in u (must be >= 0)
- Nv —
  derivative order in v (must be >= 0)
Returns
the derivative vector
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this ellipsoid.
Coefficients(A1: number, A2: number, A3: number, B1: number, B2: number, B3: number, C1: number, C2: number, C3: number, D: number): { A1: number; A2: number; A3: number; B1: number; B2: number; B3: number; C1: number; C2: number; C3: number; D: number }
Returns the coefficients of the implicit equation of the quadric in the absolute Cartesian coordinate system:
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
In local coordinates the equation is: X^2/A^2 + Y^2/B^2 + Z^2/C^2 - 1 = 0.
Parameters (10)
- A1
- A2
- A3
- B1
- B2
- B3
- C1
- C2
- C3
- D
Returns
A result object with fields:
- A1: updated value from the call.
- A2: updated value from the call.
- A3: updated value from the call.
- B1: updated value from the call.
- B2: updated value from the call.
- B3: updated value from the call.
- C1: updated value from the call.
- C2: updated value from the call.
- C3: updated value from the call.
- D: updated value from the call.
DynamicType(): Standard_Type

GeomEval_HyperboloidSurface

Geom_ElementarySurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Describes a hyperboloid of revolution surface (one-sheet or two-sheet).
A hyperboloid is defined by two semi-axis radii R1 and R2, a sheet mode, and is positioned in space by a coordinate system (a gp_Ax3 object), the origin of which is the center of the hyperboloid.
One-sheet parametrization:

Implicit equation in local coordinates:

Two-sheet parametrization (covers one sheet only):

Implicit equation in local coordinates:

The second sheet is not represented by this class.
The parametric range is:

[0, 2*Pi] for u (periodic, closed), and
(-inf, +inf) for v (not periodic, not closed).

Constructors(1)

constructor(thePosition: gp_Ax3, theR1: number, theR2: number, theMode?: GeomEval_HyperboloidSurface_SheetMode): GeomEval_HyperboloidSurface
Creates a hyperboloid surface with the given local coordinate system, semi-axis radii, and sheet mode.
Parameters (4)
- thePosition —
  local coordinate system
- theR1 —
  first semi-axis radius (must be > 0)
- theR2 —
  second semi-axis radius (must be > 0)
- theMode —
  one-sheet or two-sheet mode

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(26)

R1(): number
Returns the first semi-axis radius.
R2(): number
Returns the second semi-axis radius.
Mode(): GeomEval_HyperboloidSurface_SheetMode
Returns the sheet mode.
SetR1(theR1: number): void
Assigns the value theR1 to the first semi-axis radius.
Parameters (1)
- theR1 —
  the new first semi-axis radius (must be > 0)
SetR2(theR2: number): void
Assigns the value theR2 to the second semi-axis radius.
Parameters (1)
- theR2 —
  the new second semi-axis radius (must be > 0)
SetMode(theMode: GeomEval_HyperboloidSurface_SheetMode): void
Sets the sheet mode.
Parameters (1)
- theMode —
  one-sheet or two-sheet mode
UReverse(): void
Reversal is not supported for this eval surface.
VReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns the parametric bounds U1, U2, V1 and V2 of this hyperboloid.
Parameters (4)
- U1 —
  lower U bound (0)
- U2 —
  upper U bound (2*Pi)
- V1 —
  lower V bound (-Precision::Infinite())
- V2 —
  upper V bound (Precision::Infinite())
Returns
A result object with fields:
- U1: lower U bound (0)
- U2: upper U bound (2*Pi)
- V1: lower V bound (-Precision::Infinite())
- V2: upper V bound (Precision::Infinite())
IsUClosed(): boolean
Returns True. The hyperboloid is closed in U (period 2*Pi).
IsVClosed(): boolean
Returns False.
IsUPeriodic(): boolean
Returns True. The hyperboloid is periodic in U (period 2*Pi).
IsVPeriodic(): boolean
Returns False.
UIso(U: number): Geom_Curve
Computes the U isoparametric curve. For a hyperboloid, no standard Geom_Curve representation is available.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Computes the V isoparametric curve. For a hyperboloid, no standard Geom_Curve representation is available.
Parameters (1)
- V
EvalD0(U: number, V: number): gp_Pnt
Computes the point P(U, V) on the surface.
Parameters (2)
- U
- V
EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and the first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in the direction u and Nv in the direction v.
Parameters (4)
- U —
  the u parameter
- V —
  the v parameter
- Nu —
  derivative order in u (must be >= 0)
- Nv —
  derivative order in v (must be >= 0)
Returns
the derivative vector
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this hyperboloid.
Coefficients(A1: number, A2: number, A3: number, B1: number, B2: number, B3: number, C1: number, C2: number, C3: number, D: number): { A1: number; A2: number; A3: number; B1: number; B2: number; B3: number; C1: number; C2: number; C3: number; D: number }
Returns the coefficients of the implicit equation of the quadric in the absolute Cartesian coordinate system:
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
For one-sheet (local): X^2/R1^2 + Y^2/R1^2 - Z^2/R2^2 - 1 = 0. For two-sheet (local): X^2/R2^2 + Y^2/R2^2 - Z^2/R1^2 + 1 = 0.
Parameters (10)
- A1
- A2
- A3
- B1
- B2
- B3
- C1
- C2
- C3
- D
Returns
A result object with fields:
- A1: updated value from the call.
- A2: updated value from the call.
- A3: updated value from the call.
- B1: updated value from the call.
- B2: updated value from the call.
- B3: updated value from the call.
- C1: updated value from the call.
- C2: updated value from the call.
- C3: updated value from the call.
- D: updated value from the call.
DynamicType(): Standard_Type

GeomEval_HypParaboloidSurface

Geom_ElementarySurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Describes a hyperbolic paraboloid (saddle surface).
A hyperbolic paraboloid is defined by two semi-axis lengths A and B, and is positioned in space by a coordinate system (a gp_Ax3 object), the origin of which is the saddle point.
The parametric equation (rectangular parametrization) is:

where:

O, XDir, YDir and ZDir are respectively the origin, the "X Direction", the "Y Direction" and the "Z Direction" of its local coordinate system, and
A and B are the semi-axis lengths (both > 0).
The parametric range is:
(-inf, +inf) for u, and
(-inf, +inf) for v.
The surface is doubly ruled, not periodic, and not closed.
The implicit equation in local coordinates is:

Constructors(1)

constructor(thePosition: gp_Ax3, theA: number, theB: number): GeomEval_HypParaboloidSurface
Creates a hyperbolic paraboloid surface with the given local coordinate system and semi-axis lengths.
Parameters (3)
- thePosition —
  the local coordinate system
- theA —
  the first semi-axis length (must be > 0)
- theB —
  the second semi-axis length (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(24)

SemiAxisA(): number
Returns the first semi-axis length A.
SemiAxisB(): number
Returns the second semi-axis length B.
SetSemiAxisA(theA: number): void
Assigns the value theA to the first semi-axis length.
Parameters (1)
- theA —
  the new first semi-axis length (must be > 0)
SetSemiAxisB(theB: number): void
Assigns the value theB to the second semi-axis length.
Parameters (1)
- theB —
  the new second semi-axis length (must be > 0)
UReverse(): void
Reversal is not supported for this eval surface.
VReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns the parametric bounds U1, U2, V1 and V2 of this surface.
Parameters (4)
- U1 —
  lower U bound (-Precision::Infinite())
- U2 —
  upper U bound (Precision::Infinite())
- V1 —
  lower V bound (-Precision::Infinite())
- V2 —
  upper V bound (Precision::Infinite())
Returns
A result object with fields:
- U1: lower U bound (-Precision::Infinite())
- U2: upper U bound (Precision::Infinite())
- V1: lower V bound (-Precision::Infinite())
- V2: upper V bound (Precision::Infinite())
IsUClosed(): boolean
Returns False. The hyperbolic paraboloid is not closed in U.
IsVClosed(): boolean
Returns False. The hyperbolic paraboloid is not closed in V.
IsUPeriodic(): boolean
Returns False. The hyperbolic paraboloid is not periodic in U.
IsVPeriodic(): boolean
Returns False. The hyperbolic paraboloid is not periodic in V.
UIso(U: number): Geom_Curve
Computes the U isoparametric curve. For a hyperbolic paraboloid, no standard Geom_Curve representation is available.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Computes the V isoparametric curve. For a hyperbolic paraboloid, no standard Geom_Curve representation is available.
Parameters (1)
- V

EvalD0(U: number, V: number): gp_Pnt

Computes the point P(U, V) on the surface.

Parameters (2)

EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and the first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in the direction u and Nv in the direction v.
Parameters (4)
- U —
  the u parameter
- V —
  the v parameter
- Nu —
  derivative order in u (must be >= 0)
- Nv —
  derivative order in v (must be >= 0)
Returns
the derivative vector
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this hyperbolic paraboloid.
Coefficients(A1: number, A2: number, A3: number, B1: number, B2: number, B3: number, C1: number, C2: number, C3: number, D: number): { A1: number; A2: number; A3: number; B1: number; B2: number; B3: number; C1: number; C2: number; C3: number; D: number }
Returns the coefficients of the implicit equation of the quadric in the absolute Cartesian coordinate system:
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
In local coordinates the equation is: X^2/A^2 - Y^2/B^2 - Z = 0.
Parameters (10)
- A1
- A2
- A3
- B1
- B2
- B3
- C1
- C2
- C3
- D
Returns
A result object with fields:
- A1: updated value from the call.
- A2: updated value from the call.
- A3: updated value from the call.
- B1: updated value from the call.
- B2: updated value from the call.
- B3: updated value from the call.
- C1: updated value from the call.
- C2: updated value from the call.
- C3: updated value from the call.
- D: updated value from the call.
DynamicType(): Standard_Type

GeomEval_ParaboloidSurface

Geom_ElementarySurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Describes a circular paraboloid surface of revolution. A paraboloid is defined by its focal distance and is positioned in space by a coordinate system (a gp_Ax3 object), the origin of which is the vertex of the paraboloid.
The parametric equation of the paraboloid is:

where:

O, XDir, YDir and ZDir are respectively the origin, the "X Direction", the "Y Direction" and the "Z Direction" of its local coordinate system, and
F is the focal distance.
The parametric range is:
[0, 2*Pi] for u, and
(-inf, +inf) for v.
The implicit equation in local coordinates is:

Constructors(1)

constructor(thePosition: gp_Ax3, theFocal: number): GeomEval_ParaboloidSurface
Creates a paraboloid surface with the given local coordinate system and focal distance.
Parameters (2)
- thePosition —
  the local coordinate system
- theFocal —
  the focal distance (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(22)

Focal(): number
Returns the focal distance of this paraboloid.
SetFocal(theFocal: number): void
Assigns the value theFocal to the focal distance of this paraboloid.
Parameters (1)
- theFocal —
  the new focal distance (must be > 0)
UReverse(): void
Reversal is not supported for this eval surface.
VReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns the parametric bounds U1, U2, V1 and V2 of this paraboloid.
Parameters (4)
- U1 —
  lower U bound (0)
- U2 —
  upper U bound (2*Pi)
- V1 —
  lower V bound (-Precision::Infinite())
- V2 —
  upper V bound (Precision::Infinite())
Returns
A result object with fields:
- U1: lower U bound (0)
- U2: upper U bound (2*Pi)
- V1: lower V bound (-Precision::Infinite())
- V2: upper V bound (Precision::Infinite())
IsUClosed(): boolean
Returns True. The paraboloid is closed in U (period 2*Pi).
IsVClosed(): boolean
Returns False.
IsUPeriodic(): boolean
Returns True. The paraboloid is periodic in U (period 2*Pi).
IsVPeriodic(): boolean
Returns False.
UIso(U: number): Geom_Curve
Computes the U isoparametric curve. For a paraboloid, the U isoparametric curve is a parabola, which is not a standard Geom_Curve type.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Computes the V isoparametric curve. For a paraboloid, the V isoparametric curve is a circle of radius |v|, which degenerates to a point at v=0.
Parameters (1)
- V

EvalD0(U: number, V: number): gp_Pnt

Computes the point P(U, V) on the surface.

Parameters (2)

EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and the first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in the direction u and Nv in the direction v.
Parameters (4)
- U —
  the u parameter
- V —
  the v parameter
- Nu —
  derivative order in u (must be >= 0)
- Nv —
  derivative order in v (must be >= 0)
Returns
the derivative vector
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this paraboloid.
Coefficients(A1: number, A2: number, A3: number, B1: number, B2: number, B3: number, C1: number, C2: number, C3: number, D: number): { A1: number; A2: number; A3: number; B1: number; B2: number; B3: number; C1: number; C2: number; C3: number; D: number }
Returns the coefficients of the implicit equation of the quadric in the absolute Cartesian coordinate system:
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
A1*X^2+A2*Y^2+A3*Z^2+2*(B1*X*Y+B2*X*Z+B3*Y*Z)+ 2*(C1*X+C2*Y+C3*Z)+D=0
In local coordinates the equation is: X^2 + Y^2 - 4FZ = 0.
Parameters (10)
- A1
- A2
- A3
- B1
- B2
- B3
- C1
- C2
- C3
- D
Returns
A result object with fields:
- A1: updated value from the call.
- A2: updated value from the call.
- A3: updated value from the call.
- B1: updated value from the call.
- B2: updated value from the call.
- B3: updated value from the call.
- C1: updated value from the call.
- C2: updated value from the call.
- C3: updated value from the call.
- D: updated value from the call.
DynamicType(): Standard_Type

GeomEval_RepCurveDesc_Base

Standard_Transient

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Properties(1)

MaxDerivOrder:number

GeomEval_RepCurveDesc_Domain1d

Constructors(1)

constructor(): GeomEval_RepCurveDesc_Domain1d

Instance methods(1)

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

Properties(2)

First:number
Last:number

GeomEval_RepCurveDesc_Full

GeomEval_RepCurveDesc_BaseStandard_Transient

Constructors(1)

constructor(): GeomEval_RepCurveDesc_Full

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

GeomEval_RepCurveDesc_Map1d

Constructors(1)

constructor(): GeomEval_RepCurveDesc_Map1d

Instance methods(3)

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

Properties(2)

Scale:number
Offset:number

GeomEval_RepCurveDesc_Mapped

GeomEval_RepCurveDesc_BaseStandard_Transient

Constructors(1)

constructor(): GeomEval_RepCurveDesc_Mapped

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepCurveDesc_Base_Kind
DynamicType(): Standard_Type

Properties(3)

MaxDerivOrder:number
Domain:GeomEval_RepCurveDesc_Domain1d | null | undefined
ParamMap:GeomEval_RepCurveDesc_Map1d

GeomEval_RepSurfaceDesc_Base

Standard_Transient

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepSurfaceDesc_Base_Kind
DynamicType(): Standard_Type

Properties(1)

Representation:Geom_Surface

GeomEval_RepSurfaceDesc_DerivBounded

GeomEval_RepSurfaceDesc_BaseStandard_Transient

Constructors(1)

constructor(): GeomEval_RepSurfaceDesc_DerivBounded

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepSurfaceDesc_Base_Kind
DynamicType(): Standard_Type

Properties(1)

MaxDerivOrder:number

GeomEval_RepSurfaceDesc_Domain2d

Constructors(1)

constructor(): GeomEval_RepSurfaceDesc_Domain2d

Instance methods(1)

Contains(theU: number, theV: number): boolean
Parameters (2)
- theU
- theV

Properties(4)

UFirst:number
ULast:number
VFirst:number
VLast:number

GeomEval_RepSurfaceDesc_Full

GeomEval_RepSurfaceDesc_BaseStandard_Transient

Constructors(1)

constructor(): GeomEval_RepSurfaceDesc_Full

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepSurfaceDesc_Base_Kind
DynamicType(): Standard_Type

GeomEval_RepSurfaceDesc_Map2d

Constructors(1)

constructor(): GeomEval_RepSurfaceDesc_Map2d

Instance methods(3)

IsIdentity(): boolean
IsValid(): boolean
Map(theU: number, theV: number, theURep: number, theVRep: number): { theURep: number; theVRep: number }
Parameters (4)
- theU
- theV
- theURep
- theVRep

Properties(5)

ScaleU:number
OffsetU:number
ScaleV:number
OffsetV:number
SwapUV:boolean

GeomEval_RepSurfaceDesc_Mapped

GeomEval_RepSurfaceDesc_BaseStandard_Transient

Constructors(1)

constructor(): GeomEval_RepSurfaceDesc_Mapped

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(2)

GetKind(): GeomEval_RepSurfaceDesc_Base_Kind
DynamicType(): Standard_Type

Properties(3)

MaxDerivOrder:number
Domain:GeomEval_RepSurfaceDesc_Domain2d | null | undefined
ParamMap:GeomEval_RepSurfaceDesc_Map2d

GeomEval_SineWaveCurve

Geom_CurveGeom_GeometryStandard_Transient

Describes a 3D sine wave curve. The curve lies in the plane defined by the local coordinate system, oscillating along YDir with propagation along XDir.
The parametric equation is:

where:

O, XDir, YDir are from the local coordinate system,
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_Ax2, theAmplitude: number, theOmega: number, thePhase?: number): GeomEval_SineWaveCurve
Creates a 3D 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_Ax2
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_Pnt
Computes the point at parameter U.
Parameters (1)
- U
EvalD1(U: number): Geom_Curve_ResD1
Computes the point and first derivative at parameter U.
Parameters (1)
- U
EvalD2(U: number): Geom_Curve_ResD2
Computes the point and first two derivatives at parameter U.
Parameters (1)
- U
EvalD3(U: number): Geom_Curve_ResD3
Computes the point and first three derivatives at parameter U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec
Computes the N-th derivative at parameter U.
Parameters (2)
- U
- N
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this curve.
DynamicType(): Standard_Type

GeomEval_TBezierCurve

Geom_BoundedCurveGeom_CurveGeom_GeometryStandard_Transient

3D 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_Pnt, theAlpha: number): GeomEval_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_Pnt, theWeights: NCollection_Array1_double, theAlpha: number): GeomEval_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_Pnt
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_Pnt
Returns the start point C(0).
EndPoint(): gp_Pnt
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_Pnt
Computes the point C(U).
Parameters (1)
- U
EvalD1(U: number): Geom_Curve_ResD1
Computes the point and first derivative at U.
Parameters (1)
- U
EvalD2(U: number): Geom_Curve_ResD2
Computes the point and first two derivatives at U.
Parameters (1)
- U
EvalD3(U: number): Geom_Curve_ResD3
Computes the point and first three derivatives at U.
Parameters (1)
- U
EvalDN(U: number, N: number): gp_Vec
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_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this T-Bezier curve.
DynamicType(): Standard_Type

GeomEval_TBezierSurface

Geom_BoundedSurfaceGeom_SurfaceGeom_GeometryStandard_Transient

Tensor-product Trigonometric Bezier surface. Uses trigonometric Bernstein-like bases in both U and V directions over the space {1, sin(alphat), cos(alphat), ..., sin(nalphat), cos(nalphat)}.
Parameter domain: U in [0, Pi/alphaU], V in [0, Pi/alphaV]. Number of control points: (2nU + 1) x (2nV + 1) for orders nU, nV.
The surface is:

where Bu_i and Bv_j are trigonometric basis functions in U and V respectively.
For rational surfaces:

Constructors(2)

constructor(thePoles: NCollection_Array2_gp_Pnt, theAlphaU: number, theAlphaV: number): GeomEval_TBezierSurface
Constructs a non-rational T-Bezier surface from poles and alpha parameters.
Parameters (3)
- thePoles —
  control points grid (row count and col count must be odd >= 3)
- theAlphaU —
  frequency parameter in U direction (must be > 0)
- theAlphaV —
  frequency parameter in V direction (must be > 0)
constructor(thePoles: NCollection_Array2_gp_Pnt, theWeights: NCollection_Array2_double, theAlphaU: number, theAlphaV: number): GeomEval_TBezierSurface
Constructs a rational T-Bezier surface.
Parameters (4)
- thePoles —
  control points grid
- theWeights —
  weights grid (same dimensions as poles, all > 0)
- theAlphaU —
  frequency parameter in U direction (must be > 0)
- theAlphaV —
  frequency parameter in V direction (must be > 0)

Static methods(2)

get_type_name(): string
get_type_descriptor(): Standard_Type

Instance methods(31)

Poles(): NCollection_Array2_gp_Pnt
Returns the poles grid.
Weights(): NCollection_Array2_double
Returns the weights grid (empty if non-rational).
AlphaU(): number
Returns the frequency parameter alpha in the U direction.
AlphaV(): number
Returns the frequency parameter alpha in the V direction.
NbUPoles(): number
Returns the number of poles in the U direction.
NbVPoles(): number
Returns the number of poles in the V direction.
OrderU(): number
Returns the trigonometric order in U (NbUPoles = 2*nU + 1).
OrderV(): number
Returns the trigonometric order in V (NbVPoles = 2*nV + 1).
IsRational(): boolean
Returns true if the surface is rational.
UReverse(): void
Reversal is not supported for this eval surface.
UReversedParameter(U: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- U
VReverse(): void
Reversal is not supported for this eval surface.
VReversedParameter(V: number): number
Reversal is not supported for this eval surface.
Parameters (1)
- V
Bounds(U1: number, U2: number, V1: number, V2: number): { U1: number; U2: number; V1: number; V2: number }
Returns the parametric bounds.
Parameters (4)
- U1 —
  lower U bound (0)
- U2 —
  upper U bound (Pi/alphaU)
- V1 —
  lower V bound (0)
- V2 —
  upper V bound (Pi/alphaV)
Returns
A result object with fields:
- U1: lower U bound (0)
- U2: upper U bound (Pi/alphaU)
- V1: lower V bound (0)
- V2: upper V bound (Pi/alphaV)
IsUClosed(): boolean
Returns true if the surface is closed in U.
IsVClosed(): boolean
Returns true if the surface is closed in V.
IsUPeriodic(): boolean
Returns false. T-Bezier surfaces are not periodic in U.
IsVPeriodic(): boolean
Returns false. T-Bezier surfaces are not periodic in V.
Continuity(): GeomAbs_Shape
Returns GeomAbs_CN. T-Bezier surfaces are infinitely differentiable.
IsCNu(N: number): boolean
Returns true for all N. T-Bezier surfaces are infinitely differentiable in U.
Parameters (1)
- N
IsCNv(N: number): boolean
Returns true for all N. T-Bezier surfaces are infinitely differentiable in V.
Parameters (1)
- N
UIso(U: number): Geom_Curve
Isoparametric curve extraction is not supported for this eval surface.
Parameters (1)
- U
VIso(V: number): Geom_Curve
Isoparametric curve extraction is not supported for this eval surface.
Parameters (1)
- V
EvalD0(U: number, V: number): gp_Pnt
Computes the point S(U, V).
Parameters (2)
- U
- V
EvalD1(U: number, V: number): Geom_Surface_ResD1
Computes the point and first partial derivatives at (U, V).
Parameters (2)
- U
- V
EvalD2(U: number, V: number): Geom_Surface_ResD2
Computes the point and partial derivatives up to 2nd order at (U, V).
Parameters (2)
- U
- V
EvalD3(U: number, V: number): Geom_Surface_ResD3
Computes the point and partial derivatives up to 3rd order at (U, V).
Parameters (2)
- U
- V
EvalDN(U: number, V: number, Nu: number, Nv: number): gp_Vec
Computes the derivative of order Nu in U and Nv in V.
Parameters (4)
- U —
  the u parameter
- V —
  the v parameter
- Nu —
  derivative order in U (must be >= 0)
- Nv —
  derivative order in V (must be >= 0)
Returns
the derivative vector
Transform(T: gp_Trsf): void
Transformation is not supported for this eval geometry.
Parameters (1)
- T
Copy(): Geom_Geometry
Creates a new object which is a copy of this T-Bezier surface.
DynamicType(): Standard_Type