/usr/include/oce/gp_Elips2d.hxx is in liboce-foundation-dev 0.17.1-1.
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// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to
// this header file considered to be the "object code" form of the original source.
#ifndef _gp_Elips2d_HeaderFile
#define _gp_Elips2d_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <gp_Ax22d.hxx>
#include <Standard_Real.hxx>
#include <Standard_Storable.hxx>
#include <Standard_Boolean.hxx>
#include <gp_Ax2d.hxx>
#include <gp_Pnt2d.hxx>
#include <Standard_PrimitiveTypes.hxx>
class Standard_ConstructionError;
class gp_Ax2d;
class gp_Ax22d;
class gp_Pnt2d;
class gp_Trsf2d;
class gp_Vec2d;
Standard_EXPORT const Handle(Standard_Type)& STANDARD_TYPE(gp_Elips2d);
//! 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:
//! - the origin of the coordinate system is the center of the ellipse,
//! - its "X Direction" defines the major axis of the ellipse, and
//! - its "Y Direction" defines the minor axis of the ellipse.
//! This coordinate system is the "local coordinate system"
//! of the ellipse. Its orientation (direct or indirect) gives an
//! implicit orientation to the ellipse. In this coordinate
//! system, the equation of the ellipse is:
//! X*X / (MajorRadius**2) + Y*Y / (MinorRadius**2) = 1.0
//! See Also
//! gce_MakeElips2d which provides functions for more
//! complex ellipse constructions
//! Geom2d_Ellipse which provides additional functions for
//! constructing ellipses and works, in particular, with the
//! parametric equations of ellipses
class gp_Elips2d
{
public:
DEFINE_STANDARD_ALLOC
//! Creates an indefinite ellipse.
gp_Elips2d();
//! 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(const gp_Ax2d& MajorAxis, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const Standard_Boolean Sense = Standard_True);
//! Creates an ellipse with radii MajorRadius and
//! MinorRadius, positioned in the plane by coordinate system A where:
//! - the origin of A is the center of the ellipse,
//! - the "X Direction" of A defines the major axis of
//! the ellipse, that is, the major radius MajorRadius
//! is measured along this axis, and
//! - the "Y Direction" of A defines the minor axis of
//! the ellipse, that is, the minor radius MinorRadius
//! is measured along this axis, and
//! - the orientation (direct or indirect sense) of A
//! gives the orientation of the ellipse.
//! Warnings :
//! It is possible to create an ellipse with
//! MajorRadius = MinorRadius.
//! Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.0
Standard_EXPORT gp_Elips2d(const gp_Ax22d& A, const Standard_Real MajorRadius, const Standard_Real MinorRadius);
//! Modifies this ellipse, by redefining its local coordinate system so that
//! - its origin becomes P.
Standard_EXPORT void SetLocation (const gp_Pnt2d& P) ;
//! Changes the value of the major radius.
//! Raises ConstructionError if MajorRadius < MinorRadius.
Standard_EXPORT void SetMajorRadius (const Standard_Real MajorRadius) ;
//! Changes the value of the minor radius.
//! Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.0
Standard_EXPORT void SetMinorRadius (const Standard_Real MinorRadius) ;
//! Modifies this ellipse, by redefining its local coordinate system so that
//! it becomes A.
Standard_EXPORT void SetAxis (const gp_Ax22d& 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.
Standard_EXPORT void SetXAxis (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.
Standard_EXPORT void SetYAxis (const gp_Ax2d& A) ;
//! Computes the area of the ellipse.
Standard_Real Area() 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.
Standard_EXPORT void Coefficients (Standard_Real& A, Standard_Real& B, Standard_Real& C, Standard_Real& D, Standard_Real& E, Standard_Real& F) 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 Directrix1() 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).
gp_Ax2d Directrix2() 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 Eccentricity() const;
//! Returns the distance between the center of the ellipse
//! and focus1 or focus2.
Standard_Real Focal() const;
//! Returns the first focus of the ellipse. This focus is on the
//! positive side of the major axis of the ellipse.
gp_Pnt2d Focus1() const;
//! Returns the second focus of the ellipse. This focus is on the
//! negative side of the major axis of the ellipse.
gp_Pnt2d Focus2() const;
//! Returns the center of the ellipse.
const gp_Pnt2d& Location() const;
//! Returns the major radius of the Ellipse.
Standard_Real MajorRadius() const;
//! Returns the minor radius of the Ellipse.
Standard_Real MinorRadius() const;
//! Returns p = (1 - e * e) * MajorRadius where e is the eccentricity
//! of the ellipse.
//! Returns 0 if MajorRadius = 0
Standard_Real Parameter() const;
//! Returns the major axis of the ellipse.
const gp_Ax22d& Axis() const;
//! Returns the major axis of the ellipse.
gp_Ax2d XAxis() const;
//! Returns the minor axis of the ellipse.
//! Reverses the direction of the circle.
gp_Ax2d YAxis() const;
void Reverse() ;
gp_Elips2d Reversed() const;
//! Returns true if the local coordinate system is direct
//! and false in the other case.
Standard_Boolean IsDirect() const;
Standard_EXPORT void Mirror (const gp_Pnt2d& P) ;
//! Performs the symmetrical transformation of a ellipse with respect
//! to the point P which is the center of the symmetry
Standard_EXPORT gp_Elips2d Mirrored (const gp_Pnt2d& P) const;
Standard_EXPORT void Mirror (const gp_Ax2d& A) ;
//! Performs the symmetrical transformation of a ellipse with respect
//! to an axis placement which is the axis of the symmetry.
Standard_EXPORT gp_Elips2d Mirrored (const gp_Ax2d& A) const;
Standard_EXPORT void Rotate (const gp_Pnt2d& P, const Standard_Real Ang) ;
Standard_EXPORT gp_Elips2d Rotated (const gp_Pnt2d& P, const Standard_Real Ang) const;
Standard_EXPORT void Scale (const gp_Pnt2d& P, const Standard_Real S) ;
//! Scales a ellipse. S is the scaling value.
Standard_EXPORT gp_Elips2d Scaled (const gp_Pnt2d& P, const Standard_Real S) const;
Standard_EXPORT void Transform (const gp_Trsf2d& T) ;
//! Transforms an ellipse with the transformation T from class Trsf2d.
Standard_EXPORT gp_Elips2d Transformed (const gp_Trsf2d& T) const;
Standard_EXPORT void Translate (const gp_Vec2d& V) ;
//! Translates a ellipse in the direction of the vector V.
//! The magnitude of the translation is the vector's magnitude.
Standard_EXPORT gp_Elips2d Translated (const gp_Vec2d& V) const;
Standard_EXPORT void Translate (const gp_Pnt2d& P1, const gp_Pnt2d& P2) ;
//! Translates a ellipse from the point P1 to the point P2.
Standard_EXPORT gp_Elips2d Translated (const gp_Pnt2d& P1, const gp_Pnt2d& P2) const;
const gp_Ax22d& _CSFDB_Getgp_Elips2dpos() const { return pos; }
Standard_Real _CSFDB_Getgp_Elips2dmajorRadius() const { return majorRadius; }
void _CSFDB_Setgp_Elips2dmajorRadius(const Standard_Real p) { majorRadius = p; }
Standard_Real _CSFDB_Getgp_Elips2dminorRadius() const { return minorRadius; }
void _CSFDB_Setgp_Elips2dminorRadius(const Standard_Real p) { minorRadius = p; }
protected:
private:
gp_Ax22d pos;
Standard_Real majorRadius;
Standard_Real minorRadius;
};
#include <gp_Elips2d.lxx>
#endif // _gp_Elips2d_HeaderFile
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