#include <Geom2d_Ellipse.hxx>
Inheritance diagram for Geom2d_Ellipse:
Public Member Functions | |
Standard_EXPORT | Geom2d_Ellipse (const gp_Elips2d &E) |
Creates an ellipse by conversion of the gp_Elips2d ellipse E. . | |
Standard_EXPORT | Geom2d_Ellipse (const gp_Ax2d &MajorAxis, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const Standard_Boolean Sense=Standard_True) |
Creates an ellipse defined by its major and minor radii, MajorRadius and MinorRadius, and positioned in the plane by its major axis MajorAxis; the center of the ellipse is the origin of MajorAxis and the unit vector of MajorAxis is the "X <br> Direction" of the local coordinate system of the ellipse; this coordinate system is direct if Sense is true (default value) or indirect if Sense is false. Warnings : It is not forbidden to create an ellipse with MajorRadius = MinorRadius. Exceptions Standard_ConstructionError if: - MajorRadius is less than MinorRadius, or - MinorRadius is less than 0. . | |
Standard_EXPORT | Geom2d_Ellipse (const gp_Ax22d &Axis, const Standard_Real MajorRadius, const Standard_Real MinorRadius) |
Creates an ellipse defined by its major and minor radii, MajorRadius and MinorRadius, where the coordinate system Axis locates the ellipse and defines its orientation in the plane such that: - the center of the ellipse is the origin of Axis, - the "X Direction" of Axis defines the major axis of the ellipse, - the "Y Direction" of Axis defines the minor axis of the ellipse, - the orientation of Axis (direct or indirect) gives the orientation of the ellipse. Warnings : It is not forbidden to create an ellipse with MajorRadius = MinorRadius. Exceptions Standard_ConstructionError if: - MajorRadius is less than MinorRadius, or - MinorRadius is less than 0. . | |
Standard_EXPORT void | SetElips2d (const gp_Elips2d &E) |
Converts the gp_Elips2d ellipse E into this ellipse. . | |
Standard_EXPORT void | SetMajorRadius (const Standard_Real MajorRadius) |
Assigns a value to the major radius of this ellipse. Exceptions Standard_ConstructionError if: - the major radius of this ellipse becomes less than the minor radius, or - MinorRadius is less than 0. . | |
Standard_EXPORT void | SetMinorRadius (const Standard_Real MinorRadius) |
Assigns a value to the minor radius of this ellipse. Exceptions Standard_ConstructionError if: - the major radius of this ellipse becomes less than the minor radius, or - MinorRadius is less than 0. . | |
Standard_EXPORT gp_Elips2d | Elips2d () const |
Converts this ellipse into a gp_Elips2d ellipse. . | |
Standard_EXPORT Standard_Real | ReversedParameter (const Standard_Real U) const |
Computes the parameter on the reversed ellipse for the point of parameter U on this ellipse. For an ellipse, the returned value is: 2.*Pi - U. . | |
Standard_EXPORT gp_Ax2d | Directrix1 () const |
Computes the directrices of this ellipse. This directrix is the line normal to the XAxis of the ellipse in the local plane (Z = 0) at a distance d = MajorRadius / e from the center of the ellipse, where e is the eccentricity of the ellipse. This line is parallel to the "YAxis". The intersection point between directrix1 and the "XAxis" is the "Location" point of the directrix1. This point is on the positive side of the "XAxis". Raises ConstructionError if Eccentricity = 0.0. (The ellipse degenerates into a circle) . | |
Standard_EXPORT gp_Ax2d | Directrix2 () const |
This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the ellipse. Raises ConstructionError if Eccentricity = 0.0. (The ellipse degenerates into a circle). . | |
Standard_EXPORT Standard_Real | Eccentricity () const |
Returns the eccentricity of the ellipse between 0.0 and 1.0 If f is the distance between the center of the ellipse and the Focus1 then the eccentricity e = f / MajorRadius. Returns 0 if MajorRadius = 0 . | |
Standard_EXPORT Standard_Real | Focal () const |
Computes the focal distance. The focal distance is the distance between the center and a focus of the ellipse. . | |
Standard_EXPORT gp_Pnt2d | Focus1 () const |
Returns the first focus of the ellipse. This focus is on the positive side of the "XAxis" of the ellipse. . | |
Standard_EXPORT gp_Pnt2d | Focus2 () const |
Returns the second focus of the ellipse. This focus is on the negative side of the "XAxis" of the ellipse. . | |
Standard_EXPORT Standard_Real | MajorRadius () const |
Returns the major radius of this ellipse. . | |
Standard_EXPORT Standard_Real | MinorRadius () const |
Returns the minor radius of this ellipse. . | |
Standard_EXPORT Standard_Real | Parameter () const |
Computes the parameter of this ellipse. This value is given by the formula p = (1 - e * e) * MajorRadius where e is the eccentricity of the ellipse. Returns 0 if MajorRadius = 0 . | |
Standard_EXPORT Standard_Real | FirstParameter () const |
Returns the value of the first parameter of this ellipse. This is 0.0, which gives the start point of this ellipse. The start point and end point of an ellipse are coincident. . | |
Standard_EXPORT Standard_Real | LastParameter () const |
Returns the value of the last parameter of this ellipse. This is 2.*Pi, which gives the end point of this ellipse. The start point and end point of an ellipse are coincident. . | |
Standard_EXPORT Standard_Boolean | IsClosed () const |
return True. | |
Standard_EXPORT Standard_Boolean | IsPeriodic () const |
return True. | |
Standard_EXPORT void | D0 (const Standard_Real U, gp_Pnt2d &P) const |
Returns in P the point of parameter U. P = C + MajorRadius * Cos (U) * XDir + MinorRadius * Sin (U) * YDir where C is the center of the ellipse , XDir the direction of the "XAxis" and "YDir" the "YAxis" of the ellipse. . | |
Standard_EXPORT void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const |
Returns the point P of parameter U and the first derivative V1. //! Raised if the continuity of the curve is not C1. . | |
Standard_EXPORT void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const |
Returns the point P of parameter U. The vectors V1 and V2 are the first and second derivatives at this point. . | |
Standard_EXPORT void | D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const |
Returns the point P of parameter U, the first second and third derivatives V1 V2 and V3. . | |
Standard_EXPORT gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const |
For the point of parameter U of this ellipse, computes the vector corresponding to the Nth derivative. Exceptions Standard_RangeError if N is less than 1. . | |
Standard_EXPORT void | Transform (const gp_Trsf2d &T) |
Applies the transformation T to this ellipse. . | |
Standard_EXPORT Handle_Geom2d_Geometry | Copy () const |
Creates a new object which is a copy of this ellipse. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Private Attributes | |
Standard_Real | majorRadius |
Standard_Real | minorRadius |
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Implements Geom2d_Geometry. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Conic. |
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Implements Geom2d_Curve. |
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Reimplemented from Geom2d_Conic. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Conic. |
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Implements Geom2d_Geometry. |
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