The abstract class Conic describes the common
behavior of conic curves in 2D space and, in
particular, their general characteristics. The Geom2d
package provides four specific classes of conics:
Geom2d_Circle, Geom2d_Ellipse,
Geom2d_Hyperbola and Geom2d_Parabola.
A conic is positioned in the plane with a coordinate
system (gp_Ax22d object), where the origin is the
center of the conic (or the apex in case of a parabola).
This coordinate system is the local coordinate
system of the conic. It gives the conic an explicit
orientation, determining the direction in which the
parameter increases along the conic. The "X Axis" of
the local coordinate system also defines the origin of
the parameter of the conic.
More...

#include <Geom2d_Conic.hxx>

Inheritance diagram for Geom2d_Conic:

[legend]

Public Member Functions
void	SetAxis (const gp_Ax22d &A)
	Modifies this conic, redefining its local coordinate system <br> partially, by assigning P as its origin More...

void	SetXAxis (const gp_Ax2d &A)

void	SetYAxis (const gp_Ax2d &A)
	Assigns the origin and unit vector of axis A to the <br> origin of the local coordinate system of this conic and either: More...

void	SetLocation (const gp_Pnt2d &P)
	Modifies this conic, redefining its local coordinate <br> system fully, by assigning A as this coordinate system. More...

gp_Ax2d	XAxis () const
	Returns the "XAxis" of the conic. <br> This axis defines the origin of parametrization of the conic. This axis and the "Yaxis" define the local coordinate system of the conic. -C++: return const& More...

gp_Ax2d	YAxis () const
	Returns the "YAxis" of the conic. The "YAxis" is perpendicular to the "Xaxis". More...

virtual Standard_Real	Eccentricity () const =0
	returns the eccentricity value of the conic e. e = 0 for a circle 0 < e < 1 for an ellipse (e = 0 if MajorRadius = MinorRadius) e > 1 for a hyperbola e = 1 for a parabola More...

gp_Pnt2d	Location () const
	Returns the location point of the conic. For the circle, the ellipse and the hyperbola it is the center of the conic. For the parabola it is the vertex of the parabola. More...

const gp_Ax22d &	Position () const
	Returns the local coordinates system of the conic. More...

void	Reverse ()
	Reverses the direction of parameterization of <me>. The local coordinate system of the conic is modified. More...

virtual Standard_Real	ReversedParameter (const Standard_Real U) const =0
	Returns the parameter on the reversed curve for <br> the point of parameter U on <me>. <br> More...

GeomAbs_Shape	Continuity () const
	Returns GeomAbs_CN which is the global continuity of any conic. More...

Standard_Boolean	IsCN (const Standard_Integer N) const
	Returns True, the order of continuity of a conic is infinite. More...

Public Member Functions inherited from Geom2d_Curve
virtual Standard_Real	TransformedParameter (const Standard_Real U, const gp_Trsf2d &T) const
	Computes the parameter on the curve transformed by <br> T for the point of parameter U on this curve. Note: this function generally returns U but it can be redefined (for example, on a line). More...

virtual Standard_Real	ParametricTransformation (const gp_Trsf2d &T) const
	Returns the coefficient required to compute the <br> parametric transformation of this curve when transformation T is applied. This coefficient is the ratio between the parameter of a point on this curve and the parameter of the transformed point on the new curve transformed by T. Note: this function generally returns 1. but it can be redefined (for example, on a line). More...

Handle_Geom2d_Curve	Reversed () const
	Creates a reversed duplicate Changes the orientation of this curve. The first and <br> last parameters are not changed, but the parametric direction of the curve is reversed. If the curve is bounded: More...

virtual Standard_Real	FirstParameter () const =0
	Returns the value of the first parameter. <br> Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite More...

virtual Standard_Real	LastParameter () const =0
	Value of the last parameter. <br> Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite More...

virtual Standard_Boolean	IsClosed () const =0
	Returns true if the curve is closed. <br> Examples : Some curves such as circle are always closed, others such as line are never closed (by definition). Some Curves such as OffsetCurve can be closed or not. These curves are considered as closed if the distance between the first point and the last point of the curve is lower or equal to the Resolution from package gp wich is a fixed criterion independant of the application. More...

virtual Standard_Boolean	IsPeriodic () const =0
	Returns true if the parameter of the curve is periodic. It is possible only if the curve is closed and if the following relation is satisfied : for each parametric value U the distance between the point P(u) and the point P (u + T) is lower or equal to Resolution from package gp, T is the period and must be a constant. There are three possibilities : . the curve is never periodic by definition (SegmentLine) . the curve is always periodic by definition (Circle) . the curve can be defined as periodic (BSpline). In this case a function SetPeriodic allows you to give the shape of the curve. The general rule for this case is : if a curve can be periodic or not the default periodicity set is non periodic and you have to turn (explicitly) the curve into a periodic curve if you want the curve to be periodic. More...

virtual Standard_Real	Period () const
	Returns thne period of this curve. //! raises if the curve is not periodic More...

virtual void	D0 (const Standard_Real U, gp_Pnt2d &P) const =0
	Returns in P the point of parameter U. <br> If the curve is periodic then the returned point is P(U) with U = Ustart + (U - Uend) where Ustart and Uend are the parametric bounds of the curve. Raised only for the "OffsetCurve" if it is not possible to compute the current point. For example when the first derivative on the basis curve and the offset direction are parallel. More...

virtual void	D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const =0
	Returns the point P of parameter U and the first derivative V1. //! Raised if the continuity of the curve is not C1. More...

virtual void	D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const =0
	Returns the point P of parameter U, the first and second derivatives V1 and V2. //! Raised if the continuity of the curve is not C2. More...

virtual void	D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const =0
	Returns the point P of parameter U, the first, the second and the third derivative. //! Raised if the continuity of the curve is not C3. More...

virtual gp_Vec2d	DN (const Standard_Real U, const Standard_Integer N) const =0
	For the point of parameter U of this curve, computes <br> the vector corresponding to the Nth derivative. Exceptions StdFail_UndefinedDerivative if: More...

gp_Pnt2d	Value (const Standard_Real U) const
	Computes the point of parameter U on <me>. <br> If the curve is periodic then the returned point is P(U) with U = Ustart + (U - Uend) where Ustart and Uend are the parametric bounds of the curve. it is implemented with D0. Raised only for the "OffsetCurve" if it is not possible to compute the current point. For example when the first derivative on the basis curve and the offset direction are parallel. More...

Public Member Functions inherited from Geom2d_Geometry
void	Mirror (const gp_Pnt2d &P)
	Performs the symmetrical transformation of a Geometry <br> with respect to the point P which is the center of the symmetry and assigns the result to this geometric object. More...

void	Mirror (const gp_Ax2d &A)
	Performs the symmetrical transformation of a Geometry <br> with respect to an axis placement which is the axis of the symmetry. More...

void	Rotate (const gp_Pnt2d &P, const Standard_Real Ang)
	Rotates a Geometry. P is the center of the rotation. <br> Ang is the angular value of the rotation in radians. More...

void	Scale (const gp_Pnt2d &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value. More...

void	Translate (const gp_Vec2d &V)
	Translates a Geometry. V is the vector of the tanslation. More...

void	Translate (const gp_Pnt2d &P1, const gp_Pnt2d &P2)
	Translates a Geometry from the point P1 to the point P2. More...

virtual void	Transform (const gp_Trsf2d &T)=0
	Transformation of a geometric object. This tansformation <br> can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations. (see class Transformation of the package Geom2d). //! The following transformations have the same properties as the previous ones but they don't modified the object itself. A copy of the object is returned. More...

Handle_Geom2d_Geometry	Mirrored (const gp_Pnt2d &P) const

Handle_Geom2d_Geometry	Mirrored (const gp_Ax2d &A) const

Handle_Geom2d_Geometry	Rotated (const gp_Pnt2d &P, const Standard_Real Ang) const

Handle_Geom2d_Geometry	Scaled (const gp_Pnt2d &P, const Standard_Real S) const

Handle_Geom2d_Geometry	Transformed (const gp_Trsf2d &T) const

Handle_Geom2d_Geometry	Translated (const gp_Vec2d &V) const

Handle_Geom2d_Geometry	Translated (const gp_Pnt2d &P1, const gp_Pnt2d &P2) const

virtual Handle_Geom2d_Geometry	Copy () const =0

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...

Protected Attributes
gp_Ax22d	pos

Detailed Description

The abstract class Conic describes the common
behavior of conic curves in 2D space and, in
particular, their general characteristics. The Geom2d
package provides four specific classes of conics:
Geom2d_Circle, Geom2d_Ellipse,
Geom2d_Hyperbola and Geom2d_Parabola.
A conic is positioned in the plane with a coordinate
system (gp_Ax22d object), where the origin is the
center of the conic (or the apex in case of a parabola).
This coordinate system is the local coordinate
system of the conic. It gives the conic an explicit
orientation, determining the direction in which the
parameter increases along the conic. The "X Axis" of
the local coordinate system also defines the origin of
the parameter of the conic.

Member Function Documentation

GeomAbs_Shape Geom2d_Conic::Continuity ( ) const

virtual

Returns GeomAbs_CN which is the global continuity of any conic.

Implements Geom2d_Curve.

virtual Standard_Real Geom2d_Conic::Eccentricity ( ) const

pure virtual

returns the eccentricity value of the conic e.
e = 0 for a circle
0 < e < 1 for an ellipse (e = 0 if MajorRadius = MinorRadius)
e > 1 for a hyperbola
e = 1 for a parabola

Implemented in Geom2d_Hyperbola, Geom2d_Ellipse, Geom2d_Parabola, and Geom2d_Circle.

Standard_Boolean Geom2d_Conic::IsCN ( const Standard_Integer N ) const

virtual

Returns True, the order of continuity of a conic is infinite.

Implements Geom2d_Curve.

gp_Pnt2d Geom2d_Conic::Location ( ) const

Returns the location point of the conic.
For the circle, the ellipse and the hyperbola it is the center of
the conic. For the parabola it is the vertex of the parabola.

const gp_Ax22d& Geom2d_Conic::Position ( ) const

Returns the local coordinates system of the conic.

void Geom2d_Conic::Reverse ( )

virtual

Reverses the direction of parameterization of <me>.
The local coordinate system of the conic is modified.

Implements Geom2d_Curve.

virtual Standard_Real Geom2d_Conic::ReversedParameter ( const Standard_Real U ) const

pure virtual

 Returns the  parameter on the  reversed  curve for <br>
     the point of parameter U on <me>. <br>

Implements Geom2d_Curve.

Implemented in Geom2d_Ellipse, Geom2d_Hyperbola, Geom2d_Parabola, and Geom2d_Circle.

void Geom2d_Conic::SetAxis ( const gp_Ax22d & A )

 Modifies this conic, redefining its local coordinate system <br>

partially, by assigning P as its origin

void Geom2d_Conic::SetLocation ( const gp_Pnt2d & P )

 Modifies this conic, redefining its local coordinate <br>

system fully, by assigning A as this coordinate system.

void Geom2d_Conic::SetXAxis ( const gp_Ax2d & A )

void Geom2d_Conic::SetYAxis ( const gp_Ax2d & A )

 Assigns the origin and unit vector of axis A to the <br>

origin of the local coordinate system of this conic and either:

its "X Direction", or
its "Y Direction".
The other unit vector of the local coordinate system
of this conic is recomputed normal to A, without
changing the orientation of the local coordinate
system (right-handed or left-handed).

gp_Ax2d Geom2d_Conic::XAxis ( ) const

Returns the "XAxis" of the conic. <br>

This axis defines the origin of parametrization of the conic.
This axis and the "Yaxis" define the local coordinate system
of the conic.
-C++: return const&

gp_Ax2d Geom2d_Conic::YAxis ( ) const

Returns the "YAxis" of the conic.
The "YAxis" is perpendicular to the "Xaxis".

Field Documentation

gp_Ax22d Geom2d_Conic::pos

protected

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

Geom2d_Conic.hxx

Public Member Functions

Protected Attributes

Detailed Description

Member Function Documentation

Field Documentation