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Public Member Functions
Geom_SurfaceOfRevolution Class Reference

Describes a surface of revolution (revolved surface).
Such a surface is obtained by rotating a curve (called
the "meridian") through a complete revolution about
an axis (referred to as the "axis of revolution"). The
curve and the axis must be in the same plane (the
"reference plane" of the surface).
Rotation around the axis of revolution in the
trigonometric sense defines the u parametric
direction. So the u parameter is an angle, and its
origin is given by the position of the meridian on the surface.
The parametric range for the u parameter is: [ 0, 2.*Pi ]
The v parameter is that of the meridian.
Note: A surface of revolution is built from a copy of the
original meridian. As a result the original meridian is
not modified when the surface is modified.
The form of a surface of revolution is typically a
general revolution surface
(GeomAbs_RevolutionForm). It can be:
More...

#include <Geom_SurfaceOfRevolution.hxx>

Inheritance diagram for Geom_SurfaceOfRevolution:
Inheritance graph
[legend]

Public Member Functions

 Geom_SurfaceOfRevolution (const Handle< Geom_Curve > &C, const gp_Ax1 &A1)
 C : is the meridian or the referenced curve.
A1 is the axis of revolution.
The form of a SurfaceOfRevolution can be :
. a general revolution surface (RevolutionForm),
. a conical surface if the meridian is a line or a trimmed line
(ConicalForm),
. a cylindrical surface if the meridian is a line or a trimmed
line parallel to the revolution axis (CylindricalForm),
. a planar surface if the meridian is a line perpendicular to
the revolution axis of the surface (PlanarForm).
. a spherical surface,
. a toroidal surface,
. a quadric surface.
Warnings :
It is not checked that the curve C is planar and that the
surface axis is in the plane of the curve.
It is not checked that the revolved curve C doesn't
self-intersects.

void SetAxis (const gp_Ax1 &A1)
 Changes the axis of revolution.
Warnings :
It is not checked that the axis is in the plane of the
revolved curve.

void SetDirection (const gp_Dir &V)
 Changes the direction of the revolution axis.
Warnings :
It is not checked that the axis is in the plane of the
revolved curve.

void SetBasisCurve (const Handle< Geom_Curve > &C)
 Changes the revolved curve of the surface.
Warnings :
It is not checked that the curve C is planar and that the
surface axis is in the plane of the curve.
It is not checked that the revolved curve C doesn't
self-intersects.

void SetLocation (const gp_Pnt &P)
 Changes the location point of the revolution axis.
Warnings :
It is not checked that the axis is in the plane of the
revolved curve.

gp_Ax1 Axis () const
 Returns the revolution axis of the surface.

const gp_PntLocation () const
 Returns the location point of the axis of revolution.

gp_Ax2 ReferencePlane () const
 Computes the position of the reference plane of the surface
defined by the basis curve and the symmetry axis.
The location point is the location point of the revolution's
axis, the XDirection of the plane is given by the revolution's
axis and the orientation of the normal to the plane is given
by the sense of revolution.
Raised if the revolved curve is not planar or if the revolved
curve and the symmetry axis are not in the same plane or if
the maximum of distance between the axis and the revolved
curve is lower or equal to Resolution from gp.

void UReverse ()
 Changes the orientation of this surface of revolution
in the u parametric direction. The bounds of the
surface are not changed but the given parametric
direction is reversed. Hence the orientation of the
surface is reversed.
As a consequence:

Standard_Real UReversedParameter (const Standard_Real U) const
 Computes the u parameter on the modified
surface, when reversing its u parametric
direction, for any point of u parameter U on this surface of revolution.
In the case of a revolved surface:

void VReverse ()
 Changes the orientation of this surface of revolution
in the v parametric direction. The bounds of the
surface are not changed but the given parametric
direction is reversed. Hence the orientation of the
surface is reversed.
As a consequence:

Standard_Real VReversedParameter (const Standard_Real V) const
 Computes the v parameter on the modified
surface, when reversing its v parametric
direction, for any point of v parameter V on this surface of revolution.
In the case of a revolved surface:

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
BasisCurve()->ParametricTransformation(T)

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 BasisCurve()->ParametricTransformation(T)

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 surface.
A surface of revolution is always complete, so U1 = 0, U2 = 2*PI.

Standard_Boolean IsUClosed () const
 IsUClosed always returns true.

Standard_Boolean IsVClosed () const
 IsVClosed returns true if the meridian of this
surface of revolution is closed.

Standard_Boolean IsCNu (const Standard_Integer N) const
 IsCNu always returns true.

Standard_Boolean IsCNv (const Standard_Integer N) const
 IsCNv returns true if the degree of continuity of the
meridian of this surface of revolution is at least N.
//! Raised if N < 0.

Standard_Boolean IsUPeriodic () const
 Returns True.

Standard_Boolean IsVPeriodic () const
 IsVPeriodic returns true if the meridian of this
surface of revolution is periodic.

Handle_Geom_Curve UIso (const Standard_Real U) const
 Computes the U isoparametric curve of this surface
of revolution. It is the curve obtained by rotating the
meridian through an angle U about the axis of revolution.

Handle_Geom_Curve VIso (const Standard_Real V) const
 Computes the U isoparametric curve of this surface
of revolution. It is the curve obtained by rotating the
meridian through an angle U about the axis of revolution.

void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const
 Computes the point P (U, V) on the surface.
U is the angle of the rotation around the revolution axis.
The direction of this axis gives the sense of rotation.
V is the parameter of the revolved curve.

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.
//! Raised if the continuity of the surface is not C1.

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.
//! Raised if the continuity of the surface is not C2.

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.
//! Raised if the continuity of the surface is not C3.

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 the continuity of the surface is not CNu in the u
direction and CNv in the v direction.
//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
//! The following functions evaluates the local
derivatives on surface. Useful to manage discontinuities
on the surface.
if Side = 1 -> P = S( U+,V )
if Side = -1 -> P = S( U-,V )
else P is betveen discontinuities
can be evaluated using methods of
global evaluations P = S( U ,V )

void LocalD0 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P) const
void LocalD1 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
void LocalD2 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const
void LocalD3 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, 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
gp_Vec LocalDN (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer Nu, const Standard_Integer Nv) const
void Transform (const gp_Trsf &T)
 Applies the transformation T to this surface of revolution.

Handle_Geom_Geometry Copy () const
 Creates a new object which is a copy of this surface of revolution.


Detailed Description


Constructor & Destructor Documentation


Member Function Documentation

void Geom_SurfaceOfRevolution::Bounds ( Standard_Real U1,
Standard_Real U2,
Standard_Real V1,
Standard_Real V2 
) const [virtual]

Implements Geom_Surface.

Handle_Geom_Geometry Geom_SurfaceOfRevolution::Copy ( ) const [virtual]

Implements Geom_Geometry.

Implements Geom_Surface.

void Geom_SurfaceOfRevolution::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_SurfaceOfRevolution::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_SurfaceOfRevolution::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.

Implements Geom_Surface.

Implements Geom_Surface.

Implements Geom_Surface.

Implements Geom_Surface.

Implements Geom_Surface.

Implements Geom_Surface.

Implements Geom_Surface.

void Geom_SurfaceOfRevolution::LocalD2 ( const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
gp_Pnt P,
gp_Vec D1U,
gp_Vec D1V,
gp_Vec D2U,
gp_Vec D2V,
gp_Vec D2UV 
) const
void Geom_SurfaceOfRevolution::LocalD3 ( const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
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

Reimplemented from Geom_Surface.

Implements Geom_Geometry.

Reimplemented from Geom_Surface.

Handle_Geom_Curve Geom_SurfaceOfRevolution::UIso ( const Standard_Real  U) const [virtual]

Implements Geom_Surface.

  • UReverse reverses the direction of the axis of
    revolution of this surface,

Implements Geom_Surface.

  • UReversedParameter returns 2.*Pi - U

Implements Geom_Surface.

Handle_Geom_Curve Geom_SurfaceOfRevolution::VIso ( const Standard_Real  V) const [virtual]

Implements Geom_Surface.

  • VReverse reverses the meridian of this surface of revolution.

Implements Geom_Surface.

  • VReversedParameter returns the reversed
    parameter given by the function
    ReversedParameter called with V on the meridian.

Implements Geom_Surface.


The documentation for this class was generated from the following file: