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0024002: Overall code and build procedure refactoring -- automatic
Automatic upgrade of OCCT code by command "occt_upgrade . -nocdl": - WOK-generated header files from inc and sources from drv are moved to src - CDL files removed - All packages are converted to nocdlpack
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src/gp/gp_Parab.hxx
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src/gp/gp_Parab.hxx
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// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _gp_Parab_HeaderFile
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#define _gp_Parab_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <Standard_Handle.hxx>
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#include <gp_Ax2.hxx>
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#include <Standard_Real.hxx>
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#include <gp_Ax1.hxx>
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#include <gp_Pnt.hxx>
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class Standard_ConstructionError;
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class gp_Ax2;
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class gp_Ax1;
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class gp_Pnt;
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class gp_Trsf;
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class gp_Vec;
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//! Describes a parabola in 3D space.
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//! A parabola is defined by its focal length (that is, the
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//! distance between its focus and apex) and positioned in
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//! space with a coordinate system (a gp_Ax2 object)
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//! where:
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//! - the origin of the coordinate system is on the apex of
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//! the parabola,
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//! - the "X Axis" of the coordinate system is the axis of
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//! symmetry; the parabola is on the positive side of this axis, and
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//! - the origin, "X Direction" and "Y Direction" of the
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//! coordinate system define the plane of the parabola.
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//! The equation of the parabola in this coordinate system,
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//! which is the "local coordinate system" of the parabola, is:
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//! Y**2 = (2*P) * X.
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//! where P, referred to as the parameter of the parabola, is
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//! the distance between the focus and the directrix (P is
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//! twice the focal length).
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//! The "main Direction" of the local coordinate system gives
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//! the normal vector to the plane of the parabola.
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//! See Also
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//! gce_MakeParab which provides functions for more
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//! complex parabola constructions
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//! Geom_Parabola which provides additional functions for
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//! constructing parabolas and works, in particular, with the
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//! parametric equations of parabolas
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class gp_Parab
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Creates an indefinite Parabola.
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gp_Parab();
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//! Creates a parabola with its local coordinate system "A2"
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//! and it's focal length "Focal".
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//! The XDirection of A2 defines the axis of symmetry of the
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//! parabola. The YDirection of A2 is parallel to the directrix
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//! of the parabola. The Location point of A2 is the vertex of
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//! the parabola
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//! Raises ConstructionError if Focal < 0.0
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//! Raised if Focal < 0.0
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gp_Parab(const gp_Ax2& A2, const Standard_Real Focal);
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//! D is the directrix of the parabola and F the focus point.
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//! The symmetry axis (XAxis) of the parabola is normal to the
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//! directrix and pass through the focus point F, but its
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//! location point is the vertex of the parabola.
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//! The YAxis of the parabola is parallel to D and its location
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//! point is the vertex of the parabola. The normal to the plane
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//! of the parabola is the cross product between the XAxis and the
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//! YAxis.
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gp_Parab(const gp_Ax1& D, const gp_Pnt& F);
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//! Modifies this parabola by redefining its local coordinate system so that
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//! - its origin and "main Direction" become those of the
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//! axis A1 (the "X Direction" and "Y Direction" are then
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//! recomputed in the same way as for any gp_Ax2)
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//! Raises ConstructionError if the direction of A1 is parallel to the previous
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//! XAxis of the parabola.
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void SetAxis (const gp_Ax1& A1);
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//! Changes the focal distance of the parabola.
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//! Raises ConstructionError if Focal < 0.0
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void SetFocal (const Standard_Real Focal);
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//! Changes the location of the parabola. It is the vertex of
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//! the parabola.
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void SetLocation (const gp_Pnt& P);
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//! Changes the local coordinate system of the parabola.
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Standard_EXPORT void SetPosition (const gp_Ax2& A2);
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//! Returns the main axis of the parabola.
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//! It is the axis normal to the plane of the parabola passing
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//! through the vertex of the parabola.
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const gp_Ax1& Axis() const;
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//! Computes the directrix of this parabola.
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//! The directrix is:
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//! - a line parallel to the "Y Direction" of the local
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//! coordinate system of this parabola, and
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//! - located on the negative side of the axis of symmetry,
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//! at a distance from the apex which is equal to the focal
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//! length of this parabola.
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//! The directrix is returned as an axis (a gp_Ax1 object),
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//! the origin of which is situated on the "X Axis" of this parabola.
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gp_Ax1 Directrix() const;
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//! Returns the distance between the vertex and the focus
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//! of the parabola.
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Standard_Real Focal() const;
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//! - Computes the focus of the parabola.
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gp_Pnt Focus() const;
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//! Returns the vertex of the parabola. It is the "Location"
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//! point of the coordinate system of the parabola.
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const gp_Pnt& Location() const;
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//! Computes the parameter of the parabola.
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//! It is the distance between the focus and the directrix of
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//! the parabola. This distance is twice the focal length.
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Standard_Real Parameter() const;
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//! Returns the local coordinate system of the parabola.
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const gp_Ax2& Position() const;
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//! Returns the symmetry axis of the parabola. The location point
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//! of the axis is the vertex of the parabola.
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gp_Ax1 XAxis() const;
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//! It is an axis parallel to the directrix of the parabola.
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//! The location point of this axis is the vertex of the parabola.
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gp_Ax1 YAxis() const;
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Standard_EXPORT void Mirror (const gp_Pnt& P);
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//! Performs the symmetrical transformation of a parabola
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//! with respect to the point P which is the center of the
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//! symmetry.
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Standard_EXPORT gp_Parab Mirrored (const gp_Pnt& P) const;
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Standard_EXPORT void Mirror (const gp_Ax1& A1);
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//! Performs the symmetrical transformation of a parabola
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//! with respect to an axis placement which is the axis of
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//! the symmetry.
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Standard_EXPORT gp_Parab Mirrored (const gp_Ax1& A1) const;
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Standard_EXPORT void Mirror (const gp_Ax2& A2);
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//! Performs the symmetrical transformation of a parabola
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//! with respect to a plane. The axis placement A2 locates
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//! the plane of the symmetry (Location, XDirection, YDirection).
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Standard_EXPORT gp_Parab Mirrored (const gp_Ax2& A2) const;
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void Rotate (const gp_Ax1& A1, const Standard_Real Ang);
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//! Rotates a parabola. A1 is the axis of the rotation.
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//! Ang is the angular value of the rotation in radians.
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gp_Parab Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
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void Scale (const gp_Pnt& P, const Standard_Real S);
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//! Scales a parabola. S is the scaling value.
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//! If S is negative the direction of the symmetry axis
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//! XAxis is reversed and the direction of the YAxis too.
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gp_Parab Scaled (const gp_Pnt& P, const Standard_Real S) const;
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void Transform (const gp_Trsf& T);
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//! Transforms a parabola with the transformation T from class Trsf.
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gp_Parab Transformed (const gp_Trsf& T) const;
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void Translate (const gp_Vec& V);
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//! Translates a parabola in the direction of the vector V.
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//! The magnitude of the translation is the vector's magnitude.
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gp_Parab Translated (const gp_Vec& V) const;
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void Translate (const gp_Pnt& P1, const gp_Pnt& P2);
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//! Translates a parabola from the point P1 to the point P2.
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gp_Parab Translated (const gp_Pnt& P1, const gp_Pnt& P2) const;
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protected:
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private:
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gp_Ax2 pos;
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Standard_Real focalLength;
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};
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#include <gp_Parab.lxx>
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#endif // _gp_Parab_HeaderFile
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