#include <Geom_Ellipse.hxx>
Inheritance diagram for Geom_Ellipse:
Public Member Functions | |
Standard_EXPORT | Geom_Ellipse (const gp_Elips &E) |
Constructs an ellipse by conversion of the gp_Elips ellipse E. . | |
Standard_EXPORT | Geom_Ellipse (const gp_Ax2 &A2, const Standard_Real MajorRadius, const Standard_Real MinorRadius) |
Constructs an ellipse defined by its major and minor radii, MajorRadius and MinorRadius, where A2 locates the ellipse and defines its orientation in 3D space such that: - the center of the ellipse is the origin of A2, - the "X Direction" of A2 defines the major axis of the ellipse, i.e. the major radius MajorRadius is measured along this axis, - the "Y Direction" of A2 defines the minor axis of the ellipse, i.e. the minor radius MinorRadius is measured along this axis, - A2 is the local coordinate system of the ellipse. Exceptions Standard_ConstructionError if: - MajorRadius is less than MinorRadius, or - MinorRadius is less than 0. Warning The Geom package does not prevent the construction of an ellipse where MajorRadius and MinorRadius are equal. . | |
Standard_EXPORT void | SetElips (const gp_Elips &E) |
Converts the gp_Elips ellipse E into this ellipse. . | |
Standard_EXPORT void | SetMajorRadius (const Standard_Real MajorRadius) |
Assigns a value to the major radius of this ellipse. ConstructionError raised if MajorRadius < MinorRadius. . | |
Standard_EXPORT void | SetMinorRadius (const Standard_Real MinorRadius) |
Assigns a value to the minor radius of this ellipse. ConstructionError raised if MajorRadius < MinorRadius or if MinorRadius < 0. . | |
Standard_EXPORT gp_Elips | Elips () const |
returns the non transient ellipse from gp with the same | |
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_Ax1 | Directrix1 () const |
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". //! Raised if Eccentricity = 0.0. (The ellipse degenerates into a circle) . | |
Standard_EXPORT gp_Ax1 | Directrix2 () const |
This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the ellipse. Raised 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. It is the distance between the the two focus of the ellipse. . | |
Standard_EXPORT gp_Pnt | 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_Pnt | 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 |
Returns 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 respectively: - 0.0, which gives the start point of this ellipse, or 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 respectively: - 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_Pnt &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_Pnt &P, gp_Vec &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_Pnt &P, gp_Vec &V1, gp_Vec &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_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const |
Returns the point P of parameter U, the first second and third derivatives V1 V2 and V3. . | |
Standard_EXPORT gp_Vec | 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_Trsf &T) |
Applies the transformation T to this ellipse. . | |
Standard_EXPORT Handle_Geom_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 |
|
|
|
|
|
Implements Geom_Geometry. |
|
Implements Geom_Curve. |
|
Implements Geom_Curve. |
|
Implements Geom_Curve. |
|
Implements Geom_Curve. |
|
|
|
|
|
Implements Geom_Curve. |
|
Implements Geom_Conic. |
|
|
|
Implements Geom_Curve. |
|
|
|
|
|
|
|
Reimplemented from Geom_Conic. |
|
Implements Geom_Curve. |
|
Implements Geom_Curve. |
|
Implements Geom_Curve. |
|
|
|
|
|
|
|
Implements Geom_Conic. |
|
|
|
|
|
|
|
Implements Geom_Geometry. |
|
|
|
|