Open CASCADE Technology 6.6.0
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This class defines the infinite cylindrical surface.
The local coordinate system of the CylindricalSurface is defined
with an axis placement (see class ElementarySurface).
The "ZAxis" is the symmetry axis of the CylindricalSurface,
it gives the direction of increasing parametric value V.
The parametrization range is :
U [0, 2*PI], V ]- infinite, + infinite[
The "XAxis" and the "YAxis" define the placement plane of the
surface (Z = 0, and parametric value V = 0) perpendicular to
the symmetry axis. The "XAxis" defines the origin of the
parameter U = 0. The trigonometric sense gives the positive
orientation for the parameter U.
When you create a CylindricalSurface the U and V directions of
parametrization are such that at each point of the surface the
normal is oriented towards the "outside region".
The methods UReverse VReverse change the orientation of the
surface.
#include <Geom_CylindricalSurface.hxx>
Public Member Functions | |
Geom_CylindricalSurface (const gp_Ax3 &A3, const Standard_Real Radius) | |
A3 defines the local coordinate system of the cylindrical surface. The "ZDirection" of A3 defines the direction of the surface's axis of symmetry. 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. Warnings : It is not forbidden to create a cylindrical surface with Radius = 0.0 //! Raised if Radius < 0.0 | |
Geom_CylindricalSurface (const gp_Cylinder &C) | |
Creates a CylindricalSurface from a non transient Cylinder from package gp. | |
void | SetCylinder (const gp_Cylinder &C) |
Set <me> so that <me> has the same geometric properties as C. | |
void | SetRadius (const Standard_Real R) |
Changes the radius of the cylinder. //! Raised if R < 0.0 | |
gp_Cylinder | Cylinder () const |
returns a non transient cylinder with the same geometric properties as <me>. | |
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_Real | VReversedParameter (const Standard_Real V) const |
Return the parameter on the Vreversed surface for the point of parameter V on <me>. Return -V | |
virtual 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 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 | |
void | Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const |
The CylindricalSurface is infinite in the V direction so V1 = Realfirst, V2 = RealLast from package Standard. U1 = 0 and U2 = 2*PI. | |
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_Real | Radius () const |
Returns the radius of this cylinder. | |
Standard_Boolean | IsUClosed () const |
Returns True. | |
Standard_Boolean | IsVClosed () const |
Returns False. | |
Standard_Boolean | IsUPeriodic () const |
Returns True. | |
Standard_Boolean | IsVPeriodic () const |
Returns False. | |
Handle_Geom_Curve | UIso (const Standard_Real U) const |
The UIso curve is a Line. The location point of this line is on the placement plane (XAxis, YAxis) of the surface. This line is parallel to the axis of symmetry of the surface. | |
Handle_Geom_Curve | VIso (const Standard_Real V) const |
The VIso curve is a circle. The start point of this circle (U = 0) is defined with the "XAxis" of the surface. The center of the circle is on the symmetry axis. | |
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 + Radius * (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. | |
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. | |
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. | |
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. | |
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. | |
void | Transform (const gp_Trsf &T) |
Applies the transformation T to this cylinder. | |
Handle_Geom_Geometry | Copy () const |
Creates a new object which is a copy of this cylinder. |
Geom_CylindricalSurface::Geom_CylindricalSurface | ( | const gp_Ax3 & | A3, |
const Standard_Real | Radius | ||
) |
Geom_CylindricalSurface::Geom_CylindricalSurface | ( | const gp_Cylinder & | C | ) |
void Geom_CylindricalSurface::Bounds | ( | Standard_Real & | U1, |
Standard_Real & | U2, | ||
Standard_Real & | V1, | ||
Standard_Real & | V2 | ||
) | const [virtual] |
Implements Geom_Surface.
void Geom_CylindricalSurface::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 |
Handle_Geom_Geometry Geom_CylindricalSurface::Copy | ( | ) | const [virtual] |
Implements Geom_Geometry.
gp_Cylinder Geom_CylindricalSurface::Cylinder | ( | ) | const |
void Geom_CylindricalSurface::D0 | ( | const Standard_Real | U, |
const Standard_Real | V, | ||
gp_Pnt & | P | ||
) | const [virtual] |
Implements Geom_Surface.
void Geom_CylindricalSurface::D1 | ( | const Standard_Real | U, |
const Standard_Real | V, | ||
gp_Pnt & | P, | ||
gp_Vec & | D1U, | ||
gp_Vec & | D1V | ||
) | const [virtual] |
Implements Geom_Surface.
void Geom_CylindricalSurface::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 [virtual] |
Implements Geom_Surface.
void Geom_CylindricalSurface::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 [virtual] |
Implements Geom_Surface.
gp_Vec Geom_CylindricalSurface::DN | ( | const Standard_Real | U, |
const Standard_Real | V, | ||
const Standard_Integer | Nu, | ||
const Standard_Integer | Nv | ||
) | const [virtual] |
Implements Geom_Surface.
Standard_Boolean Geom_CylindricalSurface::IsUClosed | ( | ) | const [virtual] |
Implements Geom_Surface.
Standard_Boolean Geom_CylindricalSurface::IsUPeriodic | ( | ) | const [virtual] |
Implements Geom_Surface.
Standard_Boolean Geom_CylindricalSurface::IsVClosed | ( | ) | const [virtual] |
Implements Geom_Surface.
Standard_Boolean Geom_CylindricalSurface::IsVPeriodic | ( | ) | const [virtual] |
Implements Geom_Surface.
virtual gp_GTrsf2d Geom_CylindricalSurface::ParametricTransformation | ( | const gp_Trsf & | T | ) | const [virtual] |
Reimplemented from Geom_Surface.
Standard_Real Geom_CylindricalSurface::Radius | ( | ) | const |
void Geom_CylindricalSurface::SetCylinder | ( | const gp_Cylinder & | C | ) |
void Geom_CylindricalSurface::SetRadius | ( | const Standard_Real | R | ) |
void Geom_CylindricalSurface::Transform | ( | const gp_Trsf & | T | ) | [virtual] |
Implements Geom_Geometry.
virtual void Geom_CylindricalSurface::TransformParameters | ( | Standard_Real & | U, |
Standard_Real & | V, | ||
const gp_Trsf & | T | ||
) | const [virtual] |
Reimplemented from Geom_Surface.
Handle_Geom_Curve Geom_CylindricalSurface::UIso | ( | const Standard_Real | U | ) | const [virtual] |
Implements Geom_Surface.
Standard_Real Geom_CylindricalSurface::UReversedParameter | ( | const Standard_Real | U | ) | const [virtual] |
Implements Geom_ElementarySurface.
Handle_Geom_Curve Geom_CylindricalSurface::VIso | ( | const Standard_Real | V | ) | const [virtual] |
Implements Geom_Surface.
Standard_Real Geom_CylindricalSurface::VReversedParameter | ( | const Standard_Real | V | ) | const [virtual] |
Implements Geom_ElementarySurface.