/usr/include/oce/gp_Parab.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_Parab_HeaderFile
#define _gp_Parab_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_Parab);
//! Describes a parabola in 3D space.
//! A parabola is defined by its focal length (that is, the
//! distance between its focus and apex) and positioned in
//! space with a coordinate system (a gp_Ax2 object)
//! where:
//! - the origin of the coordinate system is on the apex of
//! the parabola,
//! - the "X Axis" of the coordinate system is the axis of
//! symmetry; the parabola is on the positive side of this axis, and
//! - the origin, "X Direction" and "Y Direction" of the
//! coordinate system define the plane of the parabola.
//! The equation of the parabola in this coordinate system,
//! which is the "local coordinate system" of 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).
//! The "main Direction" of the local coordinate system gives
//! the normal vector to the plane of the parabola.
//! See Also
//! gce_MakeParab which provides functions for more
//! complex parabola constructions
//! Geom_Parabola which provides additional functions for
//! constructing parabolas and works, in particular, with the
//! parametric equations of parabolas
class gp_Parab
{
public:
DEFINE_STANDARD_ALLOC
//! Creates an indefinite Parabola.
gp_Parab();
//! Creates a parabola with its local coordinate system "A2"
//! and it's focal length "Focal".
//! The XDirection of A2 defines the axis of symmetry of the
//! parabola. The YDirection of A2 is parallel to the directrix
//! of the parabola. The Location point of A2 is the vertex of
//! the parabola
//! Raises ConstructionError if Focal < 0.0
//! Raised if Focal < 0.0
gp_Parab(const gp_Ax2& A2, const Standard_Real Focal);
//! D is the directrix of the parabola and F the focus point.
//! The symmetry axis (XAxis) of the parabola is normal to the
//! directrix and pass through the focus point F, but its
//! location point is the vertex of the parabola.
//! The YAxis of the parabola is parallel to D and its location
//! point is the vertex of the parabola. The normal to the plane
//! of the parabola is the cross product between the XAxis and the
//! YAxis.
gp_Parab(const gp_Ax1& D, const gp_Pnt& F);
//! Modifies this parabola by redefining its local coordinate system 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)
//! Raises ConstructionError if the direction of A1 is parallel to the previous
//! XAxis of the parabola.
void SetAxis (const gp_Ax1& A1) ;
//! Changes the focal distance of the parabola.
//! Raises ConstructionError if Focal < 0.0
void SetFocal (const Standard_Real Focal) ;
//! Changes the location of the parabola. It is the vertex of
//! the parabola.
void SetLocation (const gp_Pnt& P) ;
//! Changes the local coordinate system of the parabola.
Standard_EXPORT void SetPosition (const gp_Ax2& A2) ;
//! Returns the main axis of the parabola.
//! It is the axis normal to the plane of the parabola passing
//! through the vertex of the parabola.
const gp_Ax1& Axis() const;
//! Computes the directrix of this 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_Ax1 object),
//! the origin of which is situated on the "X Axis" of this parabola.
gp_Ax1 Directrix() const;
//! Returns the distance between the vertex and the focus
//! of the parabola.
Standard_Real Focal() const;
//! - Computes the focus of the parabola.
gp_Pnt Focus() const;
//! Returns the vertex of the parabola. It is the "Location"
//! point of the coordinate system of the parabola.
const gp_Pnt& Location() const;
//! Computes the parameter of the parabola.
//! It is the distance between the focus and the directrix of
//! the parabola. This distance is twice the focal length.
Standard_Real Parameter() const;
//! Returns the local coordinate system of the parabola.
const gp_Ax2& Position() const;
//! Returns the symmetry axis of the parabola. The location point
//! of the axis is the vertex of the parabola.
gp_Ax1 XAxis() const;
//! It is an axis parallel to the directrix of the parabola.
//! The location point of this axis is the vertex of the parabola.
gp_Ax1 YAxis() const;
Standard_EXPORT void Mirror (const gp_Pnt& P) ;
//! Performs the symmetrical transformation of a parabola
//! with respect to the point P which is the center of the
//! symmetry.
Standard_EXPORT gp_Parab Mirrored (const gp_Pnt& P) const;
Standard_EXPORT void Mirror (const gp_Ax1& A1) ;
//! Performs the symmetrical transformation of a parabola
//! with respect to an axis placement which is the axis of
//! the symmetry.
Standard_EXPORT gp_Parab Mirrored (const gp_Ax1& A1) const;
Standard_EXPORT void Mirror (const gp_Ax2& A2) ;
//! Performs the symmetrical transformation of a parabola
//! with respect to a plane. The axis placement A2 locates
//! the plane of the symmetry (Location, XDirection, YDirection).
Standard_EXPORT gp_Parab Mirrored (const gp_Ax2& A2) const;
void Rotate (const gp_Ax1& A1, const Standard_Real Ang) ;
//! Rotates a parabola. A1 is the axis of the rotation.
//! Ang is the angular value of the rotation in radians.
gp_Parab Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
void Scale (const gp_Pnt& 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_Parab Scaled (const gp_Pnt& P, const Standard_Real S) const;
void Transform (const gp_Trsf& T) ;
//! Transforms a parabola with the transformation T from class Trsf.
gp_Parab Transformed (const gp_Trsf& T) const;
void Translate (const gp_Vec& V) ;
//! Translates a parabola in the direction of the vector V.
//! The magnitude of the translation is the vector's magnitude.
gp_Parab Translated (const gp_Vec& V) const;
void Translate (const gp_Pnt& P1, const gp_Pnt& P2) ;
//! Translates a parabola from the point P1 to the point P2.
gp_Parab Translated (const gp_Pnt& P1, const gp_Pnt& P2) const;
const gp_Ax2& _CSFDB_Getgp_Parabpos() const { return pos; }
Standard_Real _CSFDB_Getgp_ParabfocalLength() const { return focalLength; }
void _CSFDB_Setgp_ParabfocalLength(const Standard_Real p) { focalLength = p; }
protected:
private:
gp_Ax2 pos;
Standard_Real focalLength;
};
#include <gp_Parab.lxx>
#endif // _gp_Parab_HeaderFile
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