#include <Geom_ConicalSurface.hxx>
Inheritance diagram for Geom_ConicalSurface:
Public Member Functions | |
Standard_EXPORT | Geom_ConicalSurface (const gp_Ax3 &A3, const Standard_Real Ang, const Standard_Real Radius) |
A3 defines the local coordinate system of the conical surface. Ang is the conical surface semi-angle ]0, PI/2[. Radius is the radius of the circle Viso in the placement plane of the conical surface defined with "XAxis" and "YAxis". The "ZDirection" of A3 defines the direction of the surface's axis of symmetry. If the location point of A3 is the apex of the surface Radius = 0 . At the creation the parametrization of the surface is defined such that the normal Vector (N = D1U ^ D1V) is oriented towards the "outside region" of the surface. Raised if Radius < 0.0 or Ang < Resolution from gp or Ang >= PI/ - Resolution . | |
Standard_EXPORT | Geom_ConicalSurface (const gp_Cone &C) |
Creates a ConicalSurface from a non transient Cone from package gp. . | |
Standard_EXPORT void | SetCone (const gp_Cone &C) |
Set <me> so that <me> has the same geometric properties as C. . | |
Standard_EXPORT void | SetRadius (const Standard_Real R) |
Changes the radius of the conical surface in the placement plane (Z = 0, V = 0). The local coordinate system is not modified. //! Raised if R < 0.0 . | |
Standard_EXPORT void | SetSemiAngle (const Standard_Real Ang) |
Changes the semi angle of the conical surface. Raised if Ang < Resolution or Ang >= PI/2 - Resolution . | |
Standard_EXPORT gp_Cone | Cone () const |
returns a non transient cone with the same geometric properties as <me>. | |
Standard_EXPORT Standard_Real | UReversedParameter (const Standard_Real U) const |
return 2.PI - U. | |
Standard_EXPORT Standard_Real | VReversedParameter (const Standard_Real V) const |
Computes the u (or v) parameter on the modified surface, when reversing its u (or v) parametric direction, for any point of u parameter U (or of v parameter V) on this cone. In the case of a cone, these functions return respectively: - 2.*Pi - U, -V. . | |
virtual Standard_EXPORT void | VReverse () |
Changes the orientation of this cone in the v parametric direction. The bounds of the surface are not changed but the v parametric direction is reversed. As a consequence, for a cone: - the "main Direction" of the local coordinate system is reversed, and - the half-angle at the apex is inverted. . | |
virtual Standard_EXPORT void | TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const |
Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>. me->Transformed(T)->Value(U',V') is the same point as me->Value(U,V).Transformed(T) Where U',V' are the new values of U,V after calling me->TranformParameters(U,V,T) This methods multiplies V by T.ScaleFactor() . | |
virtual Standard_EXPORT gp_GTrsf2d | ParametricTransformation (const gp_Trsf &T) const |
Returns a 2d transformation used to find the new parameters of a point on the transformed surface. me->Transformed(T)->Value(U',V') is the same point as me->Value(U,V).Transformed(T) Where U',V' are obtained by transforming U,V with th 2d transformation returned by me->ParametricTransformation(T) This methods returns a scale centered on the U axis with T.ScaleFactor . | |
Standard_EXPORT gp_Pnt | Apex () const |
Computes the apex of this cone. It is on the negative side of the axis of revolution of this cone if the half-angle at the apex is positive, and on the positive side of the "main Axis" if the half-angle is negative. . | |
Standard_EXPORT void | Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const |
The conical surface is infinite in the V direction so V1 = Realfirst from Standard and V2 = RealLast. U1 = 0 and U2 = 2*PI. . | |
Standard_EXPORT void | Coefficients (Standard_Real &A1, Standard_Real &A2, Standard_Real &A3, Standard_Real &B1, Standard_Real &B2, Standard_Real &B3, Standard_Real &C1, Standard_Real &C2, Standard_Real &C3, Standard_Real &D) const |
Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinate system : These coefficients are normalized. 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 = 0.0 . | |
Standard_EXPORT Standard_Real | RefRadius () const |
Returns the reference radius of this cone. The reference radius is the radius of the circle formed by the intersection of this cone and its reference plane (i.e. the plane defined by the origin, "X <br> Direction" and "Y Direction" of the local coordinate system of this cone). If the apex of this cone is on the origin of the local coordinate system of this cone, the returned value is 0. . | |
Standard_EXPORT Standard_Real | SemiAngle () const |
returns the semi-angle of the conical surface ]0.0, PI/[. | |
Standard_EXPORT Standard_Boolean | IsUClosed () const |
returns True. | |
Standard_EXPORT Standard_Boolean | IsVClosed () const |
returns False. | |
Standard_EXPORT Standard_Boolean | IsUPeriodic () const |
Returns True. . | |
Standard_EXPORT Standard_Boolean | IsVPeriodic () const |
Returns False. . | |
Standard_EXPORT Handle_Geom_Curve | UIso (const Standard_Real U) const |
Builds the U isoparametric line of this cone. The origin of this line is on the reference plane of this cone (i.e. the plane defined by the origin, "X Direction" and "Y Direction" of the local coordinate system of this cone). . | |
Standard_EXPORT Handle_Geom_Curve | VIso (const Standard_Real V) const |
Builds the V isoparametric circle of this cone. It is the circle on this cone, located in the plane of Z coordinate V in the local coordinate system of this cone. The "Axis" of this circle is the axis of revolution of this cone. Its starting point is defined by the "X <br> Direction" of this cone. Warning If the V isoparametric circle is close to the apex of this cone, the radius of the circle becomes very small. It is possible to have a circle with radius equal to 0.0. . | |
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 + (RefRadius + V * tan (Semi-Angle)) * (cos (U) * XDir + sin (U) * YDir) + V * ZDir 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. . | |
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 u parametric direction, and Nv in the v parametric direction at the point of parameters (U, V) of this cone. Exceptions Standard_RangeError if: - Nu + Nv is less than 1, - Nu or Nv is negative. . | |
Standard_EXPORT void | Transform (const gp_Trsf &T) |
Applies the transformation T to this cone. . | |
Standard_EXPORT Handle_Geom_Geometry | Copy () const |
Creates a new object which is a copy of this cone. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Private Attributes | |
Standard_Real | radius |
Standard_Real | semiAngle |
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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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Reimplemented from Geom_Surface. |
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Implements Geom_Geometry. |
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Reimplemented from Geom_Surface. |
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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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Reimplemented from Geom_ElementarySurface. |
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Implements Geom_ElementarySurface. |
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