Geom_Conic Class Referenceabstract

The abstract class Conic describes the common behavior of conic curves in 3D space and, in particular, their general characteristics. The Geom package provides four concrete classes of conics: Geom_Circle, Geom_Ellipse, Geom_Hyperbola and Geom_Parabola. A conic is positioned in space with a right-handed coordinate system (gp_Ax2 object), where: More...

#include <Geom_Conic.hxx>

Inheritance diagram for Geom_Conic:
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## Public Member Functions

void SetAxis (const gp_Ax1 &A1)
Changes the orientation of the conic's plane. The normal axis to the plane is A1. The XAxis and the YAxis are recomputed. More...

void SetLocation (const gp_Pnt &P)
changes the location point of the conic. More...

void SetPosition (const gp_Ax2 &A2)
changes the local coordinate system of the conic. More...

gp_Ax1 Axis () const
Returns the "main Axis" of this conic. This axis is normal to the plane of the conic. 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 Exceptions Standard_DomainError in the case of a hyperbola if its major radius is null. More...

gp_Pnt 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 Apex of the parabola. More...

const gp_Ax2Position () const
Returns the local coordinates system of the conic. The main direction of the Axis2Placement is normal to the plane of the conic. The X direction of the Axis2placement is in the plane of the conic and corresponds to the origin for the conic's parametric value u. More...

gp_Ax1 XAxis () const
Returns the XAxis of the conic. This axis defines the origin of parametrization of the conic. This axis is perpendicular to the Axis of the conic. This axis and the Yaxis define the plane of the conic. More...

gp_Ax1 YAxis () const
Returns the YAxis of the conic. The YAxis is perpendicular to the Xaxis. This axis and the Xaxis define the plane of the conic. More...

void Reverse () override
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 override=0
Returns the parameter on the reversed curve for the point of parameter U on <me>. More...

GeomAbs_Shape Continuity () const override
The continuity of the conic is Cn. More...

Standard_Boolean IsCN (const Standard_Integer N) const override
Returns True. Raised if N < 0. More...

Public Member Functions inherited from Geom_Curve
virtual Standard_Real TransformedParameter (const Standard_Real U, const gp_Trsf &T) const
Returns the parameter on the transformed curve for the transform of the point of parameter U on <me>. More...

virtual Standard_Real ParametricTransformation (const gp_Trsf &T) const
Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>. More...

Handle< Geom_CurveReversed () const
Returns a copy of <me> reversed. More...

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

virtual Standard_Real LastParameter () const =0
Returns the value of the last parameter. Warnings : It can be RealLast from package Standard if the curve is infinite. More...

virtual Standard_Boolean IsClosed () const =0
Returns true if the curve is closed. 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
Is the parametrization of the curve 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 the period of this curve. Exceptions Standard_NoSuchObject if this curve is not periodic. More...

virtual void D0 (const Standard_Real U, gp_Pnt &P) const =0
Returns in P the point of parameter U. 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. More...

virtual void D1 (const Standard_Real U, gp_Pnt &P, gp_Vec &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_Pnt &P, gp_Vec &V1, gp_Vec &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_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &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_Vec DN (const Standard_Real U, const Standard_Integer N) const =0
The returned vector gives the value of the derivative for the order of derivation N. Raised if the continuity of the curve is not CN. More...

gp_Pnt Value (const Standard_Real U) const
Computes the point of parameter U on <me>. 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. 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...

virtual void Transform (const gp_Trsf &T)=0
Transformation of a geometric object. This tansformation 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 Geom). More...

Handle< Geom_GeometryMirrored (const gp_Pnt &P) const

Handle< Geom_GeometryMirrored (const gp_Ax1 &A1) const

Handle< Geom_GeometryMirrored (const gp_Ax2 &A2) const

Handle< Geom_GeometryRotated (const gp_Ax1 &A1, const Standard_Real Ang) const

Handle< Geom_GeometryScaled (const gp_Pnt &P, const Standard_Real S) const

Handle< Geom_GeometryTransformed (const gp_Trsf &T) const

Handle< Geom_GeometryTranslated (const gp_Vec &V) const

Handle< Geom_GeometryTranslated (const gp_Pnt &P1, const gp_Pnt &P2) const

virtual Handle< Geom_GeometryCopy () const =0
Creates a new object which is a copy of this geometric object. More...

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

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

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

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

virtual void Delete () const
Memory deallocator for transient classes. More...

virtual const opencascade::handle< Standard_Type > & DynamicType () const

Standard_Boolean IsInstance (const opencascade::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 opencascade::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...

Standard_TransientThis () const
Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More...

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

void IncrementRefCounter () const
Increments the reference counter of this object. More...

Standard_Integer DecrementRefCounter () const
Decrements the reference counter of this object; returns the decremented value. More...

## Protected Attributes

gp_Ax2 pos

Public Types inherited from Standard_Transient
typedef void base_type

Static Public Member Functions inherited from Standard_Transient
static const char * get_type_name ()

static const opencascade::handle< Standard_Type > & get_type_descriptor ()
Returns type descriptor of Standard_Transient class. More...

## Detailed Description

The abstract class Conic describes the common behavior of conic curves in 3D space and, in particular, their general characteristics. The Geom package provides four concrete classes of conics: Geom_Circle, Geom_Ellipse, Geom_Hyperbola and Geom_Parabola. A conic is positioned in space with a right-handed coordinate system (gp_Ax2 object), where:

• the origin is the center of the conic (or the apex in the case of a parabola),
• the origin, "X Direction" and "Y Direction" define the plane of the conic. This coordinate system is the local coordinate system of the conic. The "main Direction" of this coordinate system is the vector normal to the plane of the conic. The axis, of which the origin and unit vector are respectively the origin and "main Direction" of the local coordinate system, is termed the "Axis" or "main Axis" of the conic. The "main Direction" of the local coordinate system gives an explicit orientation to the conic, 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.

## ◆ Axis()

 gp_Ax1 Geom_Conic::Axis ( ) const

Returns the "main Axis" of this conic. This axis is normal to the plane of the conic.

## ◆ Continuity()

 GeomAbs_Shape Geom_Conic::Continuity ( ) const
overridevirtual

The continuity of the conic is Cn.

Implements Geom_Curve.

## ◆ Eccentricity()

 virtual Standard_Real Geom_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 Exceptions Standard_DomainError in the case of a hyperbola if its major radius is null.

Implemented in Geom_Hyperbola, Geom_Parabola, Geom_Ellipse, and Geom_Circle.

## ◆ IsCN()

 Standard_Boolean Geom_Conic::IsCN ( const Standard_Integer N ) const
overridevirtual

Returns True. Raised if N < 0.

Implements Geom_Curve.

## ◆ Location()

 gp_Pnt Geom_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 Apex of the parabola.

## ◆ Position()

 const gp_Ax2& Geom_Conic::Position ( ) const

Returns the local coordinates system of the conic. The main direction of the Axis2Placement is normal to the plane of the conic. The X direction of the Axis2placement is in the plane of the conic and corresponds to the origin for the conic's parametric value u.

## ◆ Reverse()

 void Geom_Conic::Reverse ( )
overridevirtual

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

Implements Geom_Curve.

## ◆ ReversedParameter()

 virtual Standard_Real Geom_Conic::ReversedParameter ( const Standard_Real U ) const
overridepure virtual

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

Implements Geom_Curve.

Implemented in Geom_Hyperbola, Geom_Ellipse, Geom_Parabola, and Geom_Circle.

## ◆ SetAxis()

 void Geom_Conic::SetAxis ( const gp_Ax1 & A1 )

Changes the orientation of the conic's plane. The normal axis to the plane is A1. The XAxis and the YAxis are recomputed.

raised if the A1 is parallel to the XAxis of the conic.

## ◆ SetLocation()

 void Geom_Conic::SetLocation ( const gp_Pnt & P )

changes the location point of the conic.

## ◆ SetPosition()

 void Geom_Conic::SetPosition ( const gp_Ax2 & A2 )

changes the local coordinate system of the conic.

## ◆ XAxis()

 gp_Ax1 Geom_Conic::XAxis ( ) const

Returns the XAxis of the conic. This axis defines the origin of parametrization of the conic. This axis is perpendicular to the Axis of the conic. This axis and the Yaxis define the plane of the conic.

## ◆ YAxis()

 gp_Ax1 Geom_Conic::YAxis ( ) const

Returns the YAxis of the conic. The YAxis is perpendicular to the Xaxis. This axis and the Xaxis define the plane of the conic.

## ◆ pos

 gp_Ax2 Geom_Conic::pos
protected

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