#include <Geom_ToroidalSurface.hxx>
Inheritance diagram for Geom_ToroidalSurface:
Public Member Functions | |
Standard_EXPORT | Geom_ToroidalSurface (const gp_Ax3 &A3, const Standard_Real MajorRadius, const Standard_Real MinorRadius) |
A3 is the local coordinate system of the surface. The orientation of increasing V parametric value is defined by the rotation around the main axis (ZAxis) in the trigonometric sense. The parametrization of the surface in the U direction is defined such as the normal Vector (N = D1U ^ D1V) is oriented towards the "outside region" of the surface. Warnings : It is not forbidden to create a toroidal surface with MajorRadius = MinorRadius = 0.0 Raised if MinorRadius < 0.0 or if MajorRadius < 0.0 . | |
Standard_EXPORT | Geom_ToroidalSurface (const gp_Torus &T) |
Creates a ToroidalSurface from a non transient Torus from package gp. . | |
Standard_EXPORT void | SetMajorRadius (const Standard_Real MajorRadius) |
Modifies this torus by changing its major radius. Exceptions Standard_ConstructionError if: - MajorRadius is negative, or - MajorRadius - r is less than or equal to gp::Resolution(), where r is the minor radius of this torus. . | |
Standard_EXPORT void | SetMinorRadius (const Standard_Real MinorRadius) |
Modifies this torus by changing its minor radius. Exceptions Standard_ConstructionError if: - MinorRadius is negative, or - R - MinorRadius is less than or equal to gp::Resolution(), where R is the major radius of this torus. . | |
Standard_EXPORT void | SetTorus (const gp_Torus &T) |
Converts the gp_Torus torus T into this torus. . | |
Standard_EXPORT gp_Torus | Torus () const |
Returns the non transient torus with the same geometric properties as <me>. . | |
Standard_EXPORT Standard_Real | UReversedParameter (const Standard_Real U) const |
Return the parameter on the Ureversed surface for the point of parameter U on <me>. Return 2.PI - U. . | |
Standard_EXPORT Standard_Real | VReversedParameter (const Standard_Real U) const |
Return the parameter on the Ureversed surface for the point of parameter U on <me>. Return 2.PI - U. . | |
Standard_EXPORT Standard_Real | Area () const |
Computes the aera of the surface. . | |
Standard_EXPORT void | Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const |
Returns the parametric bounds U1, U2, V1 and V2 of this torus. For a torus: U1 = V1 = 0 and V1 = V2 = 2*PI . . | |
Standard_EXPORT void | Coefficients (TColStd_Array1OfReal &Coef) const |
Returns the coefficients of the implicit equation of the surface in the absolute cartesian coordinate system : Coef(1) * X**4 + Coef(2) * Y**4 + Coef(3) * Z**4 + Coef(4) * X**3 * Y + Coef(5) * X**3 * Z + Coef(6) * Y**3 * X + Coef(7) * Y**3 * Z + Coef(8) * Z**3 * X + Coef(9) * Z**3 * Y + Coef(10) * X**2 * Y**2 + Coef(11) * X**2 * Z**2 + Coef(12) * Y**2 * Z**2 + Coef(13) * X**3 + Coef(14) * Y**3 + Coef(15) * Z**3 + Coef(16) * X**2 * Y + Coef(17) * X**2 * Z + Coef(18) * Y**2 * X + Coef(19) * Y**2 * Z + Coef(20) * Z**2 * X + Coef(21) * Z**2 * Y + Coef(22) * X**2 + Coef(23) * Y**2 + Coef(24) * Z**2 + Coef(25) * X * Y + Coef(26) * X * Z + Coef(27) * Y * Z + Coef(28) * X + Coef(29) * Y + Coef(30) * Z + Coef(31) = 0.0 //! Raised if the length of Coef is lower than 31. . | |
Standard_EXPORT Standard_Real | MajorRadius () const |
Returns the major radius, or the minor radius, of this torus. . | |
Standard_EXPORT Standard_Real | MinorRadius () const |
Returns the major radius, or the minor radius, of this torus. . | |
Standard_EXPORT Standard_Real | Volume () const |
Computes the volume. . | |
Standard_EXPORT Standard_Boolean | IsUClosed () const |
Returns True. . | |
Standard_EXPORT Standard_Boolean | IsVClosed () const |
Returns True. . | |
Standard_EXPORT Standard_Boolean | IsUPeriodic () const |
Returns True. . | |
Standard_EXPORT Standard_Boolean | IsVPeriodic () const |
Returns True. . | |
Standard_EXPORT Handle_Geom_Curve | UIso (const Standard_Real U) const |
Computes the U isoparametric curve. For a toroidal surface the UIso curve is a circle. The center of the Uiso circle is at the distance MajorRadius from the location point of the toroidal surface. Warnings : The radius of the circle can be zero if for the surface MinorRadius = 0.0 . | |
Standard_EXPORT Handle_Geom_Curve | VIso (const Standard_Real V) const |
Computes the V isoparametric curve. For a ToroidalSurface the VIso curve is a circle. The axis of the circle is the main axis (ZAxis) of the toroidal surface. Warnings : The radius of the circle can be zero if for the surface MajorRadius = MinorRadius . | |
Standard_EXPORT void | D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const |
Computes the point P (U, V) on the surface. P (U, V) = Loc + MinorRadius * Sin (V) * Zdir + (MajorRadius + MinorRadius * Cos(V)) * (cos (U) * XDir + sin (U) * YDir) where Loc is the origin of the placement plane (XAxis, YAxis) XDir is the direction of the XAxis and YDir the direction of the YAxis and ZDir the direction of the ZAxis. . | |
Standard_EXPORT void | D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const |
Computes the current point and the first derivatives in the directions U and V. . | |
Standard_EXPORT void | D2 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const |
Computes the current point, the first and the second derivatives in the directions U and V. . | |
Standard_EXPORT void | D3 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV, gp_Vec &D3U, gp_Vec &D3V, gp_Vec &D3UUV, gp_Vec &D3UVV) const |
Computes the current point, the first,the second and the third derivatives in the directions U and V. . | |
Standard_EXPORT gp_Vec | DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const |
Computes the derivative of order Nu in the direction u and Nv in the direction v. //! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. . | |
Standard_EXPORT void | Transform (const gp_Trsf &T) |
Applies the transformation T to this torus. . | |
Standard_EXPORT Handle_Geom_Geometry | Copy () const |
Creates a new object which is a copy of this torus. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Private Attributes | |
Standard_Real | majorRadius |
Standard_Real | minorRadius |
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Implements Geom_Surface. |
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Implements Geom_Geometry. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Reimplemented from Geom_ElementarySurface. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Implements Geom_Surface. |
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Implements Geom_Geometry. |
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Implements Geom_Surface. |
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Implements Geom_ElementarySurface. |
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Implements Geom_Surface. |
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Implements Geom_ElementarySurface. |
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