Open CASCADE Technology
7.1.0.beta

Describes an ellipse in the plane (2D space). An ellipse is defined by its major and minor radii and positioned in the plane with a coordinate system (a gp_Ax22d object) as follows: More...
#include <gp_Elips2d.hxx>
Public Member Functions  
gp_Elips2d ()  
Creates an indefinite ellipse. More...  
gp_Elips2d (const gp_Ax2d &MajorAxis, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const Standard_Boolean Sense=Standard_True)  
Creates an ellipse with the major axis, the major and the minor radius. The location of the MajorAxis is the center of the ellipse. The sense of parametrization is given by Sense. Warnings : It is possible to create an ellipse with MajorRadius = MinorRadius. Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.0. More...  
gp_Elips2d (const gp_Ax22d &A, const Standard_Real MajorRadius, const Standard_Real MinorRadius)  
Creates an ellipse with radii MajorRadius and MinorRadius, positioned in the plane by coordinate system A where: More...  
void  SetLocation (const gp_Pnt2d &P) 
Modifies this ellipse, by redefining its local coordinate system so that. More...  
void  SetMajorRadius (const Standard_Real MajorRadius) 
Changes the value of the major radius. Raises ConstructionError if MajorRadius < MinorRadius. More...  
void  SetMinorRadius (const Standard_Real MinorRadius) 
Changes the value of the minor radius. Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.0. More...  
void  SetAxis (const gp_Ax22d &A) 
Modifies this ellipse, by redefining its local coordinate system so that it becomes A. More...  
void  SetXAxis (const gp_Ax2d &A) 
Modifies this ellipse, by redefining its local coordinate system so that its origin and its "X Direction" become those of the axis A. The "Y Direction" is then recomputed. The orientation of the local coordinate system is not modified. More...  
void  SetYAxis (const gp_Ax2d &A) 
Modifies this ellipse, by redefining its local coordinate system so that its origin and its "Y Direction" become those of the axis A. The "X Direction" is then recomputed. The orientation of the local coordinate system is not modified. More...  
Standard_Real  Area () const 
Computes the area of the ellipse. More...  
void  Coefficients (Standard_Real &A, Standard_Real &B, Standard_Real &C, Standard_Real &D, Standard_Real &E, Standard_Real &F) const 
Returns the coefficients of the implicit equation of the ellipse. A * (X**2) + B * (Y**2) + 2*C*(X*Y) + 2*D*X + 2*E*Y + F = 0. More...  
gp_Ax2d  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". More...  
gp_Ax2d  Directrix2 () const 
This line is obtained by the symmetrical transformation of "Directrix1" with respect to the minor axis of the ellipse. More...  
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. More...  
Standard_Real  Focal () const 
Returns the distance between the center of the ellipse and focus1 or focus2. More...  
gp_Pnt2d  Focus1 () const 
Returns the first focus of the ellipse. This focus is on the positive side of the major axis of the ellipse. More...  
gp_Pnt2d  Focus2 () const 
Returns the second focus of the ellipse. This focus is on the negative side of the major axis of the ellipse. More...  
const gp_Pnt2d &  Location () const 
Returns the center of the ellipse. More...  
Standard_Real  MajorRadius () const 
Returns the major radius of the Ellipse. More...  
Standard_Real  MinorRadius () const 
Returns the minor radius of the Ellipse. More...  
Standard_Real  Parameter () const 
Returns p = (1  e * e) * MajorRadius where e is the eccentricity of the ellipse. Returns 0 if MajorRadius = 0. More...  
const gp_Ax22d &  Axis () const 
Returns the major axis of the ellipse. More...  
gp_Ax2d  XAxis () const 
Returns the major axis of the ellipse. More...  
gp_Ax2d  YAxis () const 
Returns the minor axis of the ellipse. Reverses the direction of the circle. More...  
void  Reverse () 
gp_Elips2d  Reversed () const 
Standard_Boolean  IsDirect () const 
Returns true if the local coordinate system is direct and false in the other case. More...  
void  Mirror (const gp_Pnt2d &P) 
gp_Elips2d  Mirrored (const gp_Pnt2d &P) const 
Performs the symmetrical transformation of a ellipse with respect to the point P which is the center of the symmetry. More...  
void  Mirror (const gp_Ax2d &A) 
gp_Elips2d  Mirrored (const gp_Ax2d &A) const 
Performs the symmetrical transformation of a ellipse with respect to an axis placement which is the axis of the symmetry. More...  
void  Rotate (const gp_Pnt2d &P, const Standard_Real Ang) 
gp_Elips2d  Rotated (const gp_Pnt2d &P, const Standard_Real Ang) const 
void  Scale (const gp_Pnt2d &P, const Standard_Real S) 
gp_Elips2d  Scaled (const gp_Pnt2d &P, const Standard_Real S) const 
Scales a ellipse. S is the scaling value. More...  
void  Transform (const gp_Trsf2d &T) 
gp_Elips2d  Transformed (const gp_Trsf2d &T) const 
Transforms an ellipse with the transformation T from class Trsf2d. More...  
void  Translate (const gp_Vec2d &V) 
gp_Elips2d  Translated (const gp_Vec2d &V) const 
Translates a ellipse in the direction of the vector V. The magnitude of the translation is the vector's magnitude. More...  
void  Translate (const gp_Pnt2d &P1, const gp_Pnt2d &P2) 
gp_Elips2d  Translated (const gp_Pnt2d &P1, const gp_Pnt2d &P2) const 
Translates a ellipse from the point P1 to the point P2. More...  
Describes an ellipse in the plane (2D space). An ellipse is defined by its major and minor radii and positioned in the plane with a coordinate system (a gp_Ax22d object) as follows:
gp_Elips2d::gp_Elips2d  (  ) 
Creates an indefinite ellipse.
gp_Elips2d::gp_Elips2d  (  const gp_Ax2d &  MajorAxis, 
const Standard_Real  MajorRadius,  
const Standard_Real  MinorRadius,  
const Standard_Boolean  Sense = Standard_True 

) 
Creates an ellipse with the major axis, the major and the minor radius. The location of the MajorAxis is the center of the ellipse. The sense of parametrization is given by Sense. Warnings : It is possible to create an ellipse with MajorRadius = MinorRadius. Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.0.
gp_Elips2d::gp_Elips2d  (  const gp_Ax22d &  A, 
const Standard_Real  MajorRadius,  
const Standard_Real  MinorRadius  
) 
Creates an ellipse with radii MajorRadius and MinorRadius, positioned in the plane by coordinate system A where:
Standard_Real gp_Elips2d::Area  (  )  const 
Computes the area of the ellipse.
const gp_Ax22d& gp_Elips2d::Axis  (  )  const 
Returns the major axis of the ellipse.
void gp_Elips2d::Coefficients  (  Standard_Real &  A, 
Standard_Real &  B,  
Standard_Real &  C,  
Standard_Real &  D,  
Standard_Real &  E,  
Standard_Real &  F  
)  const 
Returns the coefficients of the implicit equation of the ellipse. A * (X**2) + B * (Y**2) + 2*C*(X*Y) + 2*D*X + 2*E*Y + F = 0.
gp_Ax2d gp_Elips2d::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)
gp_Ax2d gp_Elips2d::Directrix2  (  )  const 
This line is obtained by the symmetrical transformation of "Directrix1" with respect to the minor axis of the ellipse.
Raised if Eccentricity = 0.0. (The ellipse degenerates into a circle).
Standard_Real gp_Elips2d::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_Real gp_Elips2d::Focal  (  )  const 
Returns the distance between the center of the ellipse and focus1 or focus2.
gp_Pnt2d gp_Elips2d::Focus1  (  )  const 
Returns the first focus of the ellipse. This focus is on the positive side of the major axis of the ellipse.
gp_Pnt2d gp_Elips2d::Focus2  (  )  const 
Returns the second focus of the ellipse. This focus is on the negative side of the major axis of the ellipse.
Standard_Boolean gp_Elips2d::IsDirect  (  )  const 
Returns true if the local coordinate system is direct and false in the other case.
const gp_Pnt2d& gp_Elips2d::Location  (  )  const 
Returns the center of the ellipse.
Standard_Real gp_Elips2d::MajorRadius  (  )  const 
Returns the major radius of the Ellipse.
Standard_Real gp_Elips2d::MinorRadius  (  )  const 
Returns the minor radius of the Ellipse.
void gp_Elips2d::Mirror  (  const gp_Pnt2d &  P  ) 
void gp_Elips2d::Mirror  (  const gp_Ax2d &  A  ) 
gp_Elips2d gp_Elips2d::Mirrored  (  const gp_Pnt2d &  P  )  const 
Performs the symmetrical transformation of a ellipse with respect to the point P which is the center of the symmetry.
gp_Elips2d gp_Elips2d::Mirrored  (  const gp_Ax2d &  A  )  const 
Performs the symmetrical transformation of a ellipse with respect to an axis placement which is the axis of the symmetry.
Standard_Real gp_Elips2d::Parameter  (  )  const 
Returns p = (1  e * e) * MajorRadius where e is the eccentricity of the ellipse. Returns 0 if MajorRadius = 0.
void gp_Elips2d::Reverse  (  ) 
gp_Elips2d gp_Elips2d::Reversed  (  )  const 
void gp_Elips2d::Rotate  (  const gp_Pnt2d &  P, 
const Standard_Real  Ang  
) 
gp_Elips2d gp_Elips2d::Rotated  (  const gp_Pnt2d &  P, 
const Standard_Real  Ang  
)  const 
void gp_Elips2d::Scale  (  const gp_Pnt2d &  P, 
const Standard_Real  S  
) 
gp_Elips2d gp_Elips2d::Scaled  (  const gp_Pnt2d &  P, 
const Standard_Real  S  
)  const 
Scales a ellipse. S is the scaling value.
void gp_Elips2d::SetAxis  (  const gp_Ax22d &  A  ) 
Modifies this ellipse, by redefining its local coordinate system so that it becomes A.
void gp_Elips2d::SetLocation  (  const gp_Pnt2d &  P  ) 
Modifies this ellipse, by redefining its local coordinate system so that.
void gp_Elips2d::SetMajorRadius  (  const Standard_Real  MajorRadius  ) 
Changes the value of the major radius. Raises ConstructionError if MajorRadius < MinorRadius.
void gp_Elips2d::SetMinorRadius  (  const Standard_Real  MinorRadius  ) 
Changes the value of the minor radius. Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.0.
void gp_Elips2d::SetXAxis  (  const gp_Ax2d &  A  ) 
Modifies this ellipse, by redefining its local coordinate system so that its origin and its "X Direction" become those of the axis A. The "Y Direction" is then recomputed. The orientation of the local coordinate system is not modified.
void gp_Elips2d::SetYAxis  (  const gp_Ax2d &  A  ) 
Modifies this ellipse, by redefining its local coordinate system so that its origin and its "Y Direction" become those of the axis A. The "X Direction" is then recomputed. The orientation of the local coordinate system is not modified.
void gp_Elips2d::Transform  (  const gp_Trsf2d &  T  ) 
gp_Elips2d gp_Elips2d::Transformed  (  const gp_Trsf2d &  T  )  const 
Transforms an ellipse with the transformation T from class Trsf2d.
void gp_Elips2d::Translate  (  const gp_Vec2d &  V  ) 
gp_Elips2d gp_Elips2d::Translated  (  const gp_Vec2d &  V  )  const 
Translates a ellipse in the direction of the vector V. The magnitude of the translation is the vector's magnitude.
gp_Elips2d gp_Elips2d::Translated  (  const gp_Pnt2d &  P1, 
const gp_Pnt2d &  P2  
)  const 
Translates a ellipse from the point P1 to the point P2.
gp_Ax2d gp_Elips2d::XAxis  (  )  const 
Returns the major axis of the ellipse.
gp_Ax2d gp_Elips2d::YAxis  (  )  const 
Returns the minor axis of the ellipse. Reverses the direction of the circle.