/usr/include/oce/gp_Elips.hxx is in liboce-foundation-dev 0.18.2-2build1.
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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_Elips_HeaderFile
#define _gp_Elips_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <gp_Ax2.hxx>
#include <Standard_Real.hxx>
#include <Standard_Storable.hxx>
#include <gp_Ax1.hxx>
#include <gp_Pnt.hxx>
#include <Standard_PrimitiveTypes.hxx>
class Standard_ConstructionError;
class gp_Ax2;
class gp_Ax1;
class gp_Pnt;
class gp_Trsf;
class gp_Vec;
Standard_EXPORT const Handle(Standard_Type)& STANDARD_TYPE(gp_Elips);
//! Describes an ellipse in 3D space.
//! An ellipse is defined by its major and minor radii and
//! positioned in space with a coordinate system (a gp_Ax2 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.
//! Together, the origin, "X Direction" and "Y Direction" of
//! this coordinate system define the plane of the ellipse.
//! This coordinate system is the "local coordinate system"
//! of the ellipse. In this coordinate system, the equation of
//! the ellipse is:
//! X*X / (MajorRadius**2) + Y*Y / (MinorRadius**2) = 1.0
//! The "main Direction" of the local coordinate system gives
//! the normal vector to the plane of the ellipse. This vector
//! gives an implicit orientation to the ellipse (definition of the
//! trigonometric sense). We refer to the "main Axis" of the
//! local coordinate system as the "Axis" of the ellipse.
//! See Also
//! gce_MakeElips which provides functions for more
//! complex ellipse constructions
//! Geom_Ellipse which provides additional functions for
//! constructing ellipses and works, in particular, with the
//! parametric equations of ellipses
class gp_Elips
{
public:
DEFINE_STANDARD_ALLOC
//! Creates an indefinite ellipse.
gp_Elips();
//! The major radius of the ellipse is on the "XAxis" and the
//! minor radius is on the "YAxis" of the ellipse. The "XAxis"
//! is defined with the "XDirection" of A2 and the "YAxis" is
//! defined with the "YDirection" of A2.
//! Warnings :
//! It is not forbidden to create an ellipse with MajorRadius =
//! MinorRadius.
//! Raises ConstructionError if MajorRadius < MinorRadius or MinorRadius < 0.
gp_Elips(const gp_Ax2& A2, const Standard_Real MajorRadius, const Standard_Real MinorRadius);
//! Changes the axis normal to the plane of the ellipse.
//! It modifies the definition of this plane.
//! The "XAxis" and the "YAxis" are recomputed.
//! The local coordinate system is redefined so that:
//! - its origin and "main Direction" become those of the
//! axis A1 (the "X Direction" and "Y Direction" are then
//! recomputed in the same way as for any gp_Ax2), or
//! Raises ConstructionError if the direction of A1
//! is parallel to the direction of the "XAxis" of the ellipse.
void SetAxis (const gp_Ax1& A1) ;
//! Modifies this ellipse, by redefining its local coordinate
//! so that its origin becomes P.
void SetLocation (const gp_Pnt& P) ;
//! The major radius of the ellipse is on the "XAxis" (major axis)
//! of the ellipse.
//! Raises ConstructionError if MajorRadius < MinorRadius.
void SetMajorRadius (const Standard_Real MajorRadius) ;
//! The minor radius of the ellipse is on the "YAxis" (minor axis)
//! of the ellipse.
//! Raises ConstructionError if MinorRadius > MajorRadius or MinorRadius < 0.
void SetMinorRadius (const Standard_Real MinorRadius) ;
//! Modifies this ellipse, by redefining its local coordinate
//! so that it becomes A2e.
void SetPosition (const gp_Ax2& A2) ;
//! Computes the area of the Ellipse.
Standard_Real Area() const;
//! Computes the axis normal to the plane of the ellipse.
const gp_Ax1& Axis() const;
//! Computes the first or second directrix of this ellipse.
//! These are the lines, in the plane of the ellipse, normal to
//! the major axis, at a distance equal to
//! MajorRadius/e from the center of the ellipse, where
//! e is the eccentricity of the ellipse.
//! The first directrix (Directrix1) is on the positive side of
//! the major axis. The second directrix (Directrix2) is on
//! the negative side.
//! The directrix is returned as an axis (gp_Ax1 object), the
//! origin of which is situated on the "X Axis" of the local
//! coordinate system of this ellipse.
//! Exceptions
//! Standard_ConstructionError if the eccentricity is null
//! (the ellipse has degenerated into a circle).
gp_Ax1 Directrix1() const;
//! This line is obtained by the symmetrical transformation
//! of "Directrix1" with respect to the "YAxis" of the ellipse.
//! Exceptions
//! Standard_ConstructionError if the eccentricity is null
//! (the ellipse has degenerated into a circle).
gp_Ax1 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.
//! Raises ConstructionError if MajorRadius = 0.0
Standard_Real Eccentricity() const;
//! Computes the focal distance. It is the distance between the
//! two focus focus1 and focus2 of the ellipse.
Standard_Real Focal() const;
//! Returns the first focus of the ellipse. This focus is on the
//! positive side of the "XAxis" of the ellipse.
gp_Pnt Focus1() const;
//! Returns the second focus of the ellipse. This focus is on the
//! negative side of the "XAxis" of the ellipse.
gp_Pnt Focus2() const;
//! Returns the center of the ellipse. It is the "Location"
//! point of the coordinate system of the ellipse.
const gp_Pnt& 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 coordinate system of the ellipse.
const gp_Ax2& Position() const;
//! Returns the "XAxis" of the ellipse whose origin
//! is the center of this ellipse. It is the major axis of the
//! ellipse.
gp_Ax1 XAxis() const;
//! Returns the "YAxis" of the ellipse whose unit vector is the "X Direction" or the "Y Direction"
//! of the local coordinate system of this ellipse.
//! This is the minor axis of the ellipse.
gp_Ax1 YAxis() const;
Standard_EXPORT void Mirror (const gp_Pnt& P) ;
//! Performs the symmetrical transformation of an ellipse with
//! respect to the point P which is the center of the symmetry.
Standard_EXPORT gp_Elips Mirrored (const gp_Pnt& P) const;
Standard_EXPORT void Mirror (const gp_Ax1& A1) ;
//! Performs the symmetrical transformation of an ellipse with
//! respect to an axis placement which is the axis of the symmetry.
Standard_EXPORT gp_Elips Mirrored (const gp_Ax1& A1) const;
Standard_EXPORT void Mirror (const gp_Ax2& A2) ;
//! Performs the symmetrical transformation of an ellipse with
//! respect to a plane. The axis placement A2 locates the plane
//! of the symmetry (Location, XDirection, YDirection).
Standard_EXPORT gp_Elips Mirrored (const gp_Ax2& A2) const;
void Rotate (const gp_Ax1& A1, const Standard_Real Ang) ;
//! Rotates an ellipse. A1 is the axis of the rotation.
//! Ang is the angular value of the rotation in radians.
gp_Elips Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
void Scale (const gp_Pnt& P, const Standard_Real S) ;
//! Scales an ellipse. S is the scaling value.
gp_Elips Scaled (const gp_Pnt& P, const Standard_Real S) const;
void Transform (const gp_Trsf& T) ;
//! Transforms an ellipse with the transformation T from class Trsf.
gp_Elips Transformed (const gp_Trsf& T) const;
void Translate (const gp_Vec& V) ;
//! Translates an ellipse in the direction of the vector V.
//! The magnitude of the translation is the vector's magnitude.
gp_Elips Translated (const gp_Vec& V) const;
void Translate (const gp_Pnt& P1, const gp_Pnt& P2) ;
//! Translates an ellipse from the point P1 to the point P2.
gp_Elips Translated (const gp_Pnt& P1, const gp_Pnt& P2) const;
const gp_Ax2& _CSFDB_Getgp_Elipspos() const { return pos; }
Standard_Real _CSFDB_Getgp_ElipsmajorRadius() const { return majorRadius; }
void _CSFDB_Setgp_ElipsmajorRadius(const Standard_Real p) { majorRadius = p; }
Standard_Real _CSFDB_Getgp_ElipsminorRadius() const { return minorRadius; }
void _CSFDB_Setgp_ElipsminorRadius(const Standard_Real p) { minorRadius = p; }
protected:
private:
gp_Ax2 pos;
Standard_Real majorRadius;
Standard_Real minorRadius;
};
#include <gp_Elips.lxx>
#endif // _gp_Elips_HeaderFile
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