Open CASCADE Technology 6.6.0
Public Member Functions
Geom_CylindricalSurface Class Reference

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>

Inheritance diagram for Geom_CylindricalSurface:
Inheritance graph
[legend]

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.


Constructor & Destructor Documentation

Geom_CylindricalSurface::Geom_CylindricalSurface ( const gp_Ax3 A3,
const Standard_Real  Radius 
)
Geom_CylindricalSurface::Geom_CylindricalSurface ( const gp_Cylinder C)

Member Function Documentation

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]
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]

The documentation for this class was generated from the following file:
 All Data Structures Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Defines