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ModelingData
TKG3d
Geom


Geom_Plane Class Reference

Describes a plane in 3D space.
A plane is positioned in space by a coordinate system
(a gp_Ax3 object) such that the plane is defined by
the origin, "X Direction" and "Y Direction" of this
coordinate system.
This coordinate system is the "local coordinate <br> system" of the plane. The following apply:
- Its "X Direction" and "Y Direction" are respectively
the u and v parametric directions of the plane.
- Its origin is the origin of the u and v parameters
(also called the "origin" of the plane).
- Its "main Direction" is a vector normal to the plane.
This normal vector gives the orientation of the
plane only if the local coordinate system is "direct".
(The orientation of the plane is always defined by
the "X Direction" and the "Y Direction" of its local
coordinate system.)
The parametric equation of the plane is:
P(u, v) = O + u*XDir + v*YDir
where O, XDir and YDir are respectively the
origin, the "X Direction" and the "Y Direction" of the
local coordinate system of the plane.
The parametric range of the two parameters u and v
is ] -infinity, +infinity [.
.

#include <Geom_Plane.hxx>

Inheritance diagram for Geom_Plane:

Inheritance graph
[legend]

Public Member Functions

Standard_EXPORT Geom_Plane (const gp_Ax3 &A3)
 Creates a plane located in 3D space with an axis placement
three axis. The "ZDirection" of "A3" is the direction normal
to the plane. The "Location" point of "A3" is the origin of
the plane. The "XDirection" and "YDirection" of "A3" define
the directions of the U isoparametric and V isoparametric
curves.
.
Standard_EXPORT Geom_Plane (const gp_Pln &Pl)
 Creates a plane from a non transient plane from package gp.
.
Standard_EXPORT Geom_Plane (const gp_Pnt &P, const gp_Dir &V)
 P is the "Location" point or origin of the plane.
V is the direction normal to the plane.
.
Standard_EXPORT Geom_Plane (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D)
 Creates a plane from its cartesian equation :
Ax + By + Cz + D = 0.0
Raised if Sqrt (A*A + B*B + C*C) <= Resolution from gp
.
Standard_EXPORT void SetPln (const gp_Pln &Pl)
 Set <me> so that <me> has the same geometric properties as Pl.
.
Standard_EXPORT gp_Pln Pln () const
 Converts this plane into a gp_Pln plane.
.
virtual Standard_EXPORT void UReverse ()
 Changes the orientation of this plane in the u (or v)
parametric direction. The bounds of the plane are not
changed but the given parametric direction is
reversed. Hence the orientation of the surface is reversed.
.
Standard_EXPORT Standard_Real UReversedParameter (const Standard_Real U) const
 Computes the u parameter on the modified
plane, produced when reversing the u
parametric of this plane, for any point of u parameter U on this plane.
In the case of a plane, these methods return - -U.
.
virtual Standard_EXPORT void VReverse ()
 Changes the orientation of this plane in the u (or v)
parametric direction. The bounds of the plane are not
changed but the given parametric direction is
reversed. Hence the orientation of the surface is reversed.
.
Standard_EXPORT Standard_Real VReversedParameter (const Standard_Real V) const
 Computes the v parameter on the modified
plane, produced when reversing the v
parametric of this plane, for any point of v parameter V on this plane.
In the case of a plane, these methods return -V.
.
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 U and 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
origin with T.ScaleFactor
.
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 plane.
Because a plane is an infinite surface, the following is always true:
- U1 = V1 = Standard_Real::RealFirst()
- U2 = V2 = Standard_Real::RealLast().
.
Standard_EXPORT void Coefficients (Standard_Real &A, Standard_Real &B, Standard_Real &C, Standard_Real &D) const
 Computes the normalized coefficients of the plane's
cartesian equation : Ax + By + Cz + D = 0.0
.
Standard_EXPORT Standard_Boolean IsUClosed () const
 return False

Standard_EXPORT Standard_Boolean IsVClosed () const
 return False

Standard_EXPORT Standard_Boolean IsUPeriodic () const
 return False.

Standard_EXPORT Standard_Boolean IsVPeriodic () const
 return False.

Standard_EXPORT Handle_Geom_Curve UIso (const Standard_Real U) const
 Computes the U isoparametric curve.
This is a Line parallel to the YAxis of the plane.
.
Standard_EXPORT Handle_Geom_Curve VIso (const Standard_Real V) const
 Computes the V isoparametric curve.
This is a Line parallel to the XAxis of the plane.
.
Standard_EXPORT void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const
 Computes the point P (U, V) on <me>.
P = O + U * XDir + V * YDir.
where O is the "Location" point of the plane, XDir the
"XDirection" and YDir the "YDirection" of the plane's local
coordinate system.
.
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 plane.
.
Standard_EXPORT Handle_Geom_Geometry Copy () const
 Creates a new object which is a copy of this plane.
.
Standard_EXPORT const Handle (Standard_Type)&DynamicType() const

Constructor & Destructor Documentation

Standard_EXPORT Geom_Plane::Geom_Plane const gp_Ax3 &  A3  ) 
 

Standard_EXPORT Geom_Plane::Geom_Plane const gp_Pln &  Pl  ) 
 

Standard_EXPORT Geom_Plane::Geom_Plane const gp_Pnt &  P,
const gp_Dir &  V
 

Standard_EXPORT Geom_Plane::Geom_Plane const Standard_Real  A,
const Standard_Real  B,
const Standard_Real  C,
const Standard_Real  D
 


Member Function Documentation

Standard_EXPORT void Geom_Plane::Bounds Standard_Real &  U1,
Standard_Real &  U2,
Standard_Real &  V1,
Standard_Real &  V2
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_Plane::Coefficients Standard_Real &  A,
Standard_Real &  B,
Standard_Real &  C,
Standard_Real &  D
const
 

Standard_EXPORT Handle_Geom_Geometry Geom_Plane::Copy  )  const [virtual]
 

Implements Geom_Geometry.

Standard_EXPORT void Geom_Plane::D0 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_Plane::D1 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
gp_Vec &  D1U,
gp_Vec &  D1V
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_Plane::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.

Standard_EXPORT void Geom_Plane::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.

Standard_EXPORT gp_Vec Geom_Plane::DN const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  Nu,
const Standard_Integer  Nv
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT const Geom_Plane::Handle Standard_Type   )  const
 

Reimplemented from Geom_ElementarySurface.

Standard_EXPORT Standard_Boolean Geom_Plane::IsUClosed  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_Plane::IsUPeriodic  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_Plane::IsVClosed  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_Plane::IsVPeriodic  )  const [virtual]
 

Implements Geom_Surface.

virtual Standard_EXPORT gp_GTrsf2d Geom_Plane::ParametricTransformation const gp_Trsf &  T  )  const [virtual]
 

Reimplemented from Geom_Surface.

Standard_EXPORT gp_Pln Geom_Plane::Pln  )  const
 

Standard_EXPORT void Geom_Plane::SetPln const gp_Pln &  Pl  ) 
 

Standard_EXPORT void Geom_Plane::Transform const gp_Trsf &  T  )  [virtual]
 

Implements Geom_Geometry.

virtual Standard_EXPORT void Geom_Plane::TransformParameters Standard_Real &  U,
Standard_Real &  V,
const gp_Trsf &  T
const [virtual]
 

Reimplemented from Geom_Surface.

Standard_EXPORT Handle_Geom_Curve Geom_Plane::UIso const Standard_Real  U  )  const [virtual]
 

Implements Geom_Surface.

virtual Standard_EXPORT void Geom_Plane::UReverse  )  [virtual]
 

Reimplemented from Geom_ElementarySurface.

Standard_EXPORT Standard_Real Geom_Plane::UReversedParameter const Standard_Real  U  )  const [virtual]
 

Implements Geom_ElementarySurface.

Standard_EXPORT Handle_Geom_Curve Geom_Plane::VIso const Standard_Real  V  )  const [virtual]
 

Implements Geom_Surface.

virtual Standard_EXPORT void Geom_Plane::VReverse  )  [virtual]
 

Reimplemented from Geom_ElementarySurface.

Standard_EXPORT Standard_Real Geom_Plane::VReversedParameter const Standard_Real  V  )  const [virtual]
 

Implements Geom_ElementarySurface.


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