Describes a circle in the plane (2D space). A circle is defined by its radius and, as with any conic curve, is positioned in the plane with a coordinate system (gp_Ax22d object) where the origin is the center of the circle. The coordinate system is the local coordinate system of the circle. The orientation (direct or indirect) of the local coordinate system gives an explicit orientation to the circle, determining the direction in which the parameter increases along the circle. The Geom2d_Circle circle is parameterized by an angle: P(U) = O + R*Cos(U)*XDir + R*Sin(U)*YDir where: More...
#include <Geom2d_Circle.hxx>
Public Member Functions | |
| Geom2d_Circle (const gp_Circ2d &C) | |
| Constructs a circle by conversion of the gp_Circ2d circle C. More... | |
| Geom2d_Circle (const gp_Ax2d &A, const Standard_Real Radius, const Standard_Boolean Sense=Standard_True) | |
| Constructs a circle of radius Radius, whose center is the origin of axis A; A is the "X Axis" of the local coordinate system of the circle; this coordinate system is direct if Sense is true (default value) or indirect if Sense is false. Note: It is possible to create a circle where Radius is equal to 0.0. Exceptions Standard_ConstructionError if Radius is negative. More... | |
| Geom2d_Circle (const gp_Ax22d &A, const Standard_Real Radius) | |
| Constructs a circle of radius Radius, where the coordinate system A locates the circle and defines its orientation in the plane such that: More... | |
| void | SetCirc2d (const gp_Circ2d &C) |
| Converts the gp_Circ2d circle C into this circle. More... | |
| void | SetRadius (const Standard_Real R) |
| gp_Circ2d | Circ2d () const |
| Returns the non persistent circle from gp with the same geometric properties as <me>. More... | |
| Standard_Real | Radius () const |
| Returns the radius of this circle. More... | |
| Standard_Real | ReversedParameter (const Standard_Real U) const override |
| Computes the parameter on the reversed circle for the point of parameter U on this circle. For a circle, the returned value is: 2.*Pi - U. More... | |
| Standard_Real | Eccentricity () const override |
| Returns 0., which is the eccentricity of any circle. More... | |
| Standard_Real | FirstParameter () const override |
| Returns 0.0. More... | |
| Standard_Real | LastParameter () const override |
| Returns 2*PI. More... | |
| Standard_Boolean | IsClosed () const override |
| returns True. More... | |
| Standard_Boolean | IsPeriodic () const override |
| returns True. The period of a circle is 2.*Pi. More... | |
| void | D0 (const Standard_Real U, gp_Pnt2d &P) const override |
| Returns in P the point of parameter U. P = C + R * Cos (U) * XDir + R * Sin (U) * YDir where C is the center of the circle , XDir the XDirection and YDir the YDirection of the circle's local coordinate system. More... | |
| void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const override |
| Returns the point P of parameter U and the first derivative V1. More... | |
| void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const override |
| Returns the point P of parameter U, the first and second derivatives V1 and V2. More... | |
| void | D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const override |
| Returns the point P of parameter u, the first second and third derivatives V1 V2 and V3. More... | |
| gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const override |
| For the point of parameter U of this circle, computes the vector corresponding to the Nth derivative. Exceptions: Standard_RangeError if N is less than 1. More... | |
| void | Transform (const gp_Trsf2d &T) override |
| Applies the transformation T to this circle. More... | |
| Handle< Geom2d_Geometry > | Copy () const override |
| Creates a new object which is a copy of this circle. More... | |
 Public Member Functions inherited from Geom2d_Conic | |
| void | SetAxis (const gp_Ax22d &A) |
| Modifies this conic, redefining its local coordinate system 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 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 system fully, by assigning A as this coordinate system. More... | |
| gp_Ax2d | XAxis () const |
| Returns the "XAxis" of the conic. 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... | |
| 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 () override |
| Reverses the direction of parameterization of <me>. The local coordinate system of the conic is modified. More... | |
| GeomAbs_Shape | Continuity () const override |
| Returns GeomAbs_CN which is the global continuity of any conic. More... | |
| Standard_Boolean | IsCN (const Standard_Integer N) const override |
| 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 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 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 last parameters are not changed, but the parametric direction of the curve is reversed. If the curve is bounded: More... | |
| virtual Standard_Real | Period () const |
| Returns thne period of this curve. raises if the curve is not periodic. More... | |
| gp_Pnt2d | 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. More... | |
| Public Member Functions inherited from Geom2d_Geometry | |
| void | Mirror (const gp_Pnt2d &P) |
| Performs the symmetrical transformation of a Geometry 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 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. 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... | |
| 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 |
| 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 | Delete () const |
| Memory deallocator for transient classes. More... | |
| virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
| Returns a type descriptor about this object. More... | |
| 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_Transient * | This () 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... | |
Additional Inherited Members | |
| Public Types inherited from Standard_Transient | |
| typedef void | base_type |
| Returns a type descriptor about this object. More... | |
| Static Public Member Functions inherited from Standard_Transient | |
| static const char * | get_type_name () |
| Returns a type descriptor about this object. More... | |
| static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
| Returns type descriptor of Standard_Transient class. More... | |
| Protected Attributes inherited from Geom2d_Conic | |
| gp_Ax22d | pos |
Detailed Description
Describes a circle in the plane (2D space). A circle is defined by its radius and, as with any conic curve, is positioned in the plane with a coordinate system (gp_Ax22d object) where the origin is the center of the circle. The coordinate system is the local coordinate system of the circle. The orientation (direct or indirect) of the local coordinate system gives an explicit orientation to the circle, determining the direction in which the parameter increases along the circle. The Geom2d_Circle circle is parameterized by an angle: P(U) = O + R*Cos(U)*XDir + R*Sin(U)*YDir where:
- P is the point of parameter U,
- O, XDir and YDir are respectively the origin, "X Direction" and "Y Direction" of its local coordinate system,
- R is the radius of the circle. The "X Axis" of the local coordinate system therefore defines the origin of the parameter of the circle. The parameter is the angle with this "X Direction". A circle is a closed and periodic curve. The period is 2.*Pi and the parameter range is [ 0,2.*Pi [. See Also GCE2d_MakeCircle which provides functions for more complex circle constructions gp_Ax22d and gp_Circ2d for an equivalent, non-parameterized data structure.
Constructor & Destructor Documentation
◆ Geom2d_Circle() [1/3]
| Geom2d_Circle::Geom2d_Circle | ( | const gp_Circ2d & | C | ) |
Constructs a circle by conversion of the gp_Circ2d circle C.
◆ Geom2d_Circle() [2/3]
| Geom2d_Circle::Geom2d_Circle | ( | const gp_Ax2d & | A, |
| const Standard_Real | Radius, | ||
| const Standard_Boolean | Sense = Standard_True |
||
| ) |
Constructs a circle of radius Radius, whose center is the origin of axis A; A is the "X Axis" of the local coordinate system of the circle; this coordinate system is direct if Sense is true (default value) or indirect if Sense is false. Note: It is possible to create a circle where Radius is equal to 0.0. Exceptions Standard_ConstructionError if Radius is negative.
◆ Geom2d_Circle() [3/3]
| Geom2d_Circle::Geom2d_Circle | ( | const gp_Ax22d & | A, |
| const Standard_Real | Radius | ||
| ) |
Constructs a circle of radius Radius, where the coordinate system A locates the circle and defines its orientation in the plane such that:
- the center of the circle is the origin of A,
- the orientation (direct or indirect) of A gives the orientation of the circle.
Member Function Documentation
◆ Circ2d()
| gp_Circ2d Geom2d_Circle::Circ2d | ( | ) | const |
Returns the non persistent circle from gp with the same geometric properties as <me>.
◆ Copy()
|
overridevirtual |
Creates a new object which is a copy of this circle.
Implements Geom2d_Geometry.
◆ D0()
|
overridevirtual |
Returns in P the point of parameter U. P = C + R * Cos (U) * XDir + R * Sin (U) * YDir where C is the center of the circle , XDir the XDirection and YDir the YDirection of the circle's local coordinate system.
Implements Geom2d_Curve.
◆ D1()
|
overridevirtual |
Returns the point P of parameter U and the first derivative V1.
Implements Geom2d_Curve.
◆ D2()
|
overridevirtual |
Returns the point P of parameter U, the first and second derivatives V1 and V2.
Implements Geom2d_Curve.
◆ D3()
|
overridevirtual |
Returns the point P of parameter u, the first second and third derivatives V1 V2 and V3.
Implements Geom2d_Curve.
◆ DN()
|
overridevirtual |
For the point of parameter U of this circle, computes the vector corresponding to the Nth derivative. Exceptions: Standard_RangeError if N is less than 1.
Implements Geom2d_Curve.
◆ Eccentricity()
|
overridevirtual |
Returns 0., which is the eccentricity of any circle.
Implements Geom2d_Conic.
◆ FirstParameter()
|
overridevirtual |
Returns 0.0.
Implements Geom2d_Curve.
◆ IsClosed()
|
overridevirtual |
returns True.
Implements Geom2d_Curve.
◆ IsPeriodic()
|
overridevirtual |
returns True. The period of a circle is 2.*Pi.
Implements Geom2d_Curve.
◆ LastParameter()
|
overridevirtual |
Returns 2*PI.
Implements Geom2d_Curve.
◆ Radius()
| Standard_Real Geom2d_Circle::Radius | ( | ) | const |
Returns the radius of this circle.
◆ ReversedParameter()
|
overridevirtual |
Computes the parameter on the reversed circle for the point of parameter U on this circle. For a circle, the returned value is: 2.*Pi - U.
Implements Geom2d_Conic.
◆ SetCirc2d()
| void Geom2d_Circle::SetCirc2d | ( | const gp_Circ2d & | C | ) |
Converts the gp_Circ2d circle C into this circle.
◆ SetRadius()
| void Geom2d_Circle::SetRadius | ( | const Standard_Real | R | ) |
◆ Transform()
|
overridevirtual |
Applies the transformation T to this circle.
Implements Geom2d_Geometry.
The documentation for this class was generated from the following file:
