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:
More...

#include <Geom_Plane.hxx>

Inheritance diagram for Geom_Plane:

[legend]

Public Member Functions
	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. More...

	Geom_Plane (const gp_Pln &Pl)
	Creates a plane from a non transient plane from package gp. More...

	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. More...

	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 (AA + BB + C*C) <= Resolution from gp More...

void	SetPln (const gp_Pln &Pl)
	Set <me> so that <me> has the same geometric properties as Pl. More...

gp_Pln	Pln () const
	Converts this plane into a gp_Pln plane. More...

virtual 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. More...

Standard_Real	UReversedParameter (const Standard_Real U) const
	Computes the u parameter on the modified <br> 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. More...

virtual 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. More...

Standard_Real	VReversedParameter (const Standard_Real V) const
	Computes the v parameter on the modified <br> 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. More...

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 U and V by T.ScaleFactor() More...

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 origin with T.ScaleFactor More...

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. <br> Because a plane is an infinite surface, the following is always true: More...

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 More...

Standard_Boolean	IsUClosed () const
	return False More...

Standard_Boolean	IsVClosed () const
	return False More...

Standard_Boolean	IsUPeriodic () const
	return False. More...

Standard_Boolean	IsVPeriodic () const
	return False. More...

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. More...

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. More...

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. More...

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. More...

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. More...

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. More...

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. More...

void	Transform (const gp_Trsf &T)
	Applies the transformation T to this plane. More...

Handle_Geom_Geometry	Copy () const
	Creates a new object which is a copy of this plane. More...

Public Member Functions inherited from Geom_ElementarySurface
void	SetAxis (const gp_Ax1 &A1)
	Changes the main axis (ZAxis) of the elementary surface. Raised if the direction of A1 is parallel to the XAxis of the coordinate system of the surface. More...

void	SetLocation (const gp_Pnt &Loc)
	Changes the location of the local coordinates system of the surface. More...

void	SetPosition (const gp_Ax3 &A3)
	Changes the local coordinates system of the surface. More...

gp_Ax1	Axis () const
	Returns the main axis of the surface (ZAxis). More...

gp_Pnt	Location () const
	Returns the location point of the local coordinate system of the surface. More...

const gp_Ax3 &	Position () const
	Returns the local coordinates system of the surface. More...

GeomAbs_Shape	Continuity () const
	Returns GeomAbs_CN, the global continuity of any elementary surface. More...

Standard_Boolean	IsCNu (const Standard_Integer N) const
	Returns True. More...

Standard_Boolean	IsCNv (const Standard_Integer N) const
	Returns True. More...

Public Member Functions inherited from Geom_Surface
Handle_Geom_Surface	UReversed () const
	Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...

Handle_Geom_Surface	VReversed () const
	Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...

virtual Standard_Real	UPeriod () const
	Returns the period of this surface in the u <br> parametric direction. //! raises if the surface is not uperiodic. More...

virtual Standard_Real	VPeriod () const
	Returns the period of this surface in the v parametric direction. //! raises if the surface is not vperiodic. More...

gp_Pnt	Value (const Standard_Real U, const Standard_Real V) const
	Computes the point of parameter U on the surface. <br> It is implemented with D0 Raised only for an "OffsetSurface" if it is not possible to compute the current point. More...

Public Member Functions inherited from Geom_Geometry
void	Mirror (const gp_Pnt &P)
	Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More...

void	Mirror (const gp_Ax1 &A1)
	Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More...

void	Mirror (const gp_Ax2 &A2)
	Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...

void	Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
	Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...

void	Scale (const gp_Pnt &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value. More...

void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the tanslation. More...

void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2. More...

Handle_Geom_Geometry	Mirrored (const gp_Pnt &P) const

Handle_Geom_Geometry	Mirrored (const gp_Ax1 &A1) const

Handle_Geom_Geometry	Mirrored (const gp_Ax2 &A2) const

Handle_Geom_Geometry	Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const

Handle_Geom_Geometry	Scaled (const gp_Pnt &P, const Standard_Real S) const

Handle_Geom_Geometry	Transformed (const gp_Trsf &T) const

Handle_Geom_Geometry	Translated (const gp_Vec &V) const

Handle_Geom_Geometry	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const

Public Member Functions inherited from MMgt_TShared
virtual void	Delete () const
	Memory deallocator for transient classes. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	ShallowDump (Standard_OStream &) const

virtual const Handle_Standard_Type &	DynamicType () const
	Returns a type information object about this object. More...

Standard_Boolean	IsInstance (const Handle_Standard_Type &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const Handle_Standard_Type &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

virtual Handle_Standard_Transient	This () const
	Returns a Handle which references this object. Must never be called to objects created in stack. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

Additional Inherited Members
Protected Attributes inherited from Geom_ElementarySurface
gp_Ax3	pos

Detailed Description

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 [.

Constructor & Destructor Documentation

Geom_Plane::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.

Geom_Plane::Geom_Plane ( const gp_Pln & Pl )

Creates a plane from a non transient plane from package gp.

Geom_Plane::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.

Geom_Plane::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

Member Function Documentation

void Geom_Plane::Bounds	(	Standard_Real &	U1,
		Standard_Real &	U2,
		Standard_Real &	V1,
		Standard_Real &	V2
	)		const

virtual

 Returns the parametric bounds U1, U2, V1 and V2 of this plane. <br>

Because a plane is an infinite surface, the following is always true:

U1 = V1 = Standard_Real::RealFirst()
U2 = V2 = Standard_Real::RealLast().

Implements Geom_Surface.

void Geom_Plane::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

Handle_Geom_Geometry Geom_Plane::Copy ( ) const

virtual

Creates a new object which is a copy of this plane.

Implements Geom_Geometry.

void Geom_Plane::D0	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P
	)		const

virtual

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.

Implements Geom_Surface.

void Geom_Plane::D1	(	const Standard_Real	U,
		const Standard_Real	V,
		gp_Pnt &	P,
		gp_Vec &	D1U,
		gp_Vec &	D1V
	)		const

virtual

Computes the current point and the first derivatives in the
directions U and V.

Implements Geom_Surface.

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

Computes the current point, the first and the second
derivatives in the directions U and V.

Implements Geom_Surface.

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

Computes the current point, the first,the second and the
third derivatives in the directions U and V.

Implements Geom_Surface.

gp_Vec Geom_Plane::DN	(	const Standard_Real	U,
		const Standard_Real	V,
		const Standard_Integer	Nu,
		const Standard_Integer	Nv
	)		const

virtual

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.

Implements Geom_Surface.

Standard_Boolean Geom_Plane::IsUClosed ( ) const

virtual

return False

Implements Geom_Surface.

Standard_Boolean Geom_Plane::IsUPeriodic ( ) const

virtual

return False.

Implements Geom_Surface.

Standard_Boolean Geom_Plane::IsVClosed ( ) const

virtual

return False

Implements Geom_Surface.

Standard_Boolean Geom_Plane::IsVPeriodic ( ) const

virtual

return False.

Implements Geom_Surface.

virtual gp_GTrsf2d Geom_Plane::ParametricTransformation ( const gp_Trsf & T ) const

virtual

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

Reimplemented from Geom_Surface.

gp_Pln Geom_Plane::Pln ( ) const

Converts this plane into a gp_Pln plane.

void Geom_Plane::SetPln ( const gp_Pln & Pl )

Set <me> so that <me> has the same geometric properties as Pl.

void Geom_Plane::Transform ( const gp_Trsf & T )

virtual

Applies the transformation T to this plane.

Implements Geom_Geometry.

virtual void Geom_Plane::TransformParameters	(	Standard_Real &	U,
		Standard_Real &	V,
		const gp_Trsf &	T
	)		const

virtual

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()

Reimplemented from Geom_Surface.

Handle_Geom_Curve Geom_Plane::UIso ( const Standard_Real U ) const

virtual

Computes the U isoparametric curve.
This is a Line parallel to the YAxis of the plane.

Implements Geom_Surface.

virtual void Geom_Plane::UReverse ( )

virtual

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.

Reimplemented from Geom_ElementarySurface.

Standard_Real Geom_Plane::UReversedParameter ( const Standard_Real U ) const

virtual

 Computes the u  parameter on the modified <br>

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.

Implements Geom_ElementarySurface.

Handle_Geom_Curve Geom_Plane::VIso ( const Standard_Real V ) const

virtual

Computes the V isoparametric curve.
This is a Line parallel to the XAxis of the plane.

Implements Geom_Surface.

virtual void Geom_Plane::VReverse ( )

virtual

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.

Reimplemented from Geom_ElementarySurface.

Standard_Real Geom_Plane::VReversedParameter ( const Standard_Real V ) const

virtual

 Computes the v parameter on the modified <br>

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.

Implements Geom_ElementarySurface.

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

Geom_Plane.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation