/usr/include/oce/gp_Parab2d.hxx is in liboce-foundation-dev 0.18.2-2build1.
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// Please do not edit this file; modify original file instead.
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#ifndef _gp_Parab2d_HeaderFile
#define _gp_Parab2d_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_Parab2d);
//! Describes a parabola in the plane (2D space).
//! A parabola is defined by its focal length (that is, the
//! distance between its focus and apex) and positioned in
//! the plane with a coordinate system (a gp_Ax22d object) where:
//! - the origin of the coordinate system is on the apex of
//! the parabola, and
//! - the "X Axis" of the coordinate system is the axis of
//! symmetry; the parabola is on the positive side of this axis.
//! This coordinate system is the "local coordinate system"
//! of the parabola. Its orientation (direct or indirect sense)
//! gives an implicit orientation to the parabola.
//! In this coordinate system, the equation for the parabola is:
//! Y**2 = (2*P) * X.
//! where P, referred to as the parameter of the parabola, is
//! the distance between the focus and the directrix (P is
//! twice the focal length).
//! See Also
//! GCE2d_MakeParab2d which provides functions for
//! more complex parabola constructions
//! Geom2d_Parabola which provides additional functions
//! for constructing parabolas and works, in particular, with
//! the parametric equations of parabolas
class gp_Parab2d
{
public:
DEFINE_STANDARD_ALLOC
//! Creates an indefinite parabola.
gp_Parab2d();
//! Creates a parabola with its vertex point, its axis of symmetry
//! ("XAxis") and its focal length.
//! The sense of parametrization is given by Sense.
//! Warnings : It is possible to have Focal = 0.
//! Raises ConstructionError if Focal < 0.0
gp_Parab2d(const gp_Ax2d& MirrorAxis, const Standard_Real Focal, const Standard_Boolean Sense = Standard_True);
//! Creates a parabola with its vertex point, its axis of symmetry
//! ("XAxis") and its focal length.
//! The sense of parametrization is given by A.
//! Warnings : It is possible to have Focal = 0.
//! Raises ConstructionError if Focal < 0.0
gp_Parab2d(const gp_Ax22d& A, const Standard_Real Focal);
//! Creates a parabola with the directrix and the focus point.
//! The sense of parametrization is given by Sense.
Standard_EXPORT gp_Parab2d(const gp_Ax2d& D, const gp_Pnt2d& F, const Standard_Boolean Sense = Standard_True);
//! Creates a parabola with the directrix and the focus point.
//! The Sense of parametrization is given by D.
Standard_EXPORT gp_Parab2d(const gp_Ax22d& D, const gp_Pnt2d& F);
//! Changes the focal distance of the parabola
//! Warnings : It is possible to have Focal = 0.
//! Raises ConstructionError if Focal < 0.0
void SetFocal (const Standard_Real Focal) ;
//! Changes the "Location" point of the parabola. It is the
//! vertex of the parabola.
void SetLocation (const gp_Pnt2d& P) ;
//! Modifies this parabola, by redefining its local coordinate system so that
//! its origin and "X Direction" become those of the axis
//! MA. The "Y Direction" of the local coordinate system is
//! then recomputed. The orientation of the local
//! coordinate system is not modified.
void SetMirrorAxis (const gp_Ax2d& A) ;
//! Changes the local coordinate system of the parabola.
//! The "Location" point of A becomes the vertex of the parabola.
void SetAxis (const gp_Ax22d& A) ;
//! Computes the coefficients of the implicit equation of the parabola.
//! 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;
//! Computes the directrix of the parabola.
//! The directrix is:
//! - a line parallel to the "Y Direction" of the local
//! coordinate system of this parabola, and
//! - located on the negative side of the axis of symmetry,
//! at a distance from the apex which is equal to the focal length of this parabola.
//! The directrix is returned as an axis (a gp_Ax2d object),
//! the origin of which is situated on the "X Axis" of this parabola.
gp_Ax2d Directrix() const;
//! Returns the distance between the vertex and the focus
//! of the parabola.
Standard_Real Focal() const;
//! Returns the focus of the parabola.
gp_Pnt2d Focus() const;
//! Returns the vertex of the parabola.
gp_Pnt2d Location() const;
//! Returns the symmetry axis of the parabola.
//! The "Location" point of this axis is the vertex of the parabola.
gp_Ax2d MirrorAxis() const;
//! Returns the local coordinate system of the parabola.
//! The "Location" point of this axis is the vertex of the parabola.
gp_Ax22d Axis() const;
//! Returns the distance between the focus and the
//! directrix of the parabola.
Standard_Real Parameter() const;
void Reverse() ;
//! Reverses the orientation of the local coordinate system
//! of this parabola (the "Y Direction" is reversed).
//! Therefore, the implicit orientation of this parabola is reversed.
//! Note:
//! - Reverse assigns the result to this parabola, while
//! - Reversed creates a new one.
gp_Parab2d 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 parabola with respect
//! to the point P which is the center of the symmetry
Standard_EXPORT gp_Parab2d Mirrored (const gp_Pnt2d& P) const;
Standard_EXPORT void Mirror (const gp_Ax2d& A) ;
//! Performs the symmetrical transformation of a parabola with respect
//! to an axis placement which is the axis of the symmetry.
Standard_EXPORT gp_Parab2d Mirrored (const gp_Ax2d& A) const;
void Rotate (const gp_Pnt2d& P, const Standard_Real Ang) ;
//! Rotates a parabola. P is the center of the rotation.
//! Ang is the angular value of the rotation in radians.
gp_Parab2d Rotated (const gp_Pnt2d& P, const Standard_Real Ang) const;
void Scale (const gp_Pnt2d& P, const Standard_Real S) ;
//! Scales a parabola. S is the scaling value.
//! If S is negative the direction of the symmetry axis
//! "XAxis" is reversed and the direction of the "YAxis" too.
gp_Parab2d Scaled (const gp_Pnt2d& P, const Standard_Real S) const;
void Transform (const gp_Trsf2d& T) ;
//! Transforms an parabola with the transformation T from class Trsf2d.
gp_Parab2d Transformed (const gp_Trsf2d& T) const;
void Translate (const gp_Vec2d& V) ;
//! Translates a parabola in the direction of the vector V.
//! The magnitude of the translation is the vector's magnitude.
gp_Parab2d Translated (const gp_Vec2d& V) const;
void Translate (const gp_Pnt2d& P1, const gp_Pnt2d& P2) ;
//! Translates a parabola from the point P1 to the point P2.
gp_Parab2d Translated (const gp_Pnt2d& P1, const gp_Pnt2d& P2) const;
const gp_Ax22d& _CSFDB_Getgp_Parab2dpos() const { return pos; }
Standard_Real _CSFDB_Getgp_Parab2dfocalLength() const { return focalLength; }
void _CSFDB_Setgp_Parab2dfocalLength(const Standard_Real p) { focalLength = p; }
protected:
private:
gp_Ax22d pos;
Standard_Real focalLength;
};
#include <gp_Parab2d.lxx>
#endif // _gp_Parab2d_HeaderFile
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