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233 lines
8.6 KiB
C++
233 lines
8.6 KiB
C++
// Created on: 1993-03-24
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// Created by: JCV
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// Copyright (c) 1993-1999 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 _Geom2d_Parabola_HeaderFile
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#define _Geom2d_Parabola_HeaderFile
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#include <Standard.hxx>
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#include <Standard_Type.hxx>
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#include <Standard_Real.hxx>
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#include <Geom2d_Conic.hxx>
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#include <Standard_Boolean.hxx>
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#include <Standard_Integer.hxx>
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class Standard_ConstructionError;
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class Standard_RangeError;
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class gp_Parab2d;
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class gp_Ax2d;
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class gp_Ax22d;
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class gp_Pnt2d;
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class gp_Vec2d;
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class gp_Trsf2d;
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class Geom2d_Geometry;
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class Geom2d_Parabola;
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DEFINE_STANDARD_HANDLE(Geom2d_Parabola, Geom2d_Conic)
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//! Describes a parabola in the plane (2D space).
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//! A parabola is defined by its focal length (i.e. the
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//! distance between its focus and its apex) and is
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//! positioned in the plane with a coordinate system
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//! (gp_Ax22d object) where:
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//! - the origin is the apex of the parabola, and
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//! - the "X Axis" defines the axis of symmetry; the
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//! parabola is on the positive side of this axis.
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//! This coordinate system is the local coordinate
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//! system of the parabola.
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//! The orientation (direct or indirect) of the local
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//! coordinate system gives an explicit orientation to the
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//! parabola, determining the direction in which the
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//! parameter increases along the parabola.
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//! The Geom_Parabola parabola is parameterized as follows:
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//! P(U) = O + U*U/(4.*F)*XDir + U*YDir, where:
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//! - P is the point of parameter U,
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//! - O, XDir and YDir are respectively the origin, "X
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//! Direction" and "Y Direction" of its local coordinate system,
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//! - F is the focal length of the parabola.
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//! The parameter of the parabola is therefore its Y
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//! coordinate in the local coordinate system, with the "X
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//! Axis" of the local coordinate system defining the
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//! origin of the parameter.
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//! The parameter range is ] -infinite,+infinite [.
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class Geom2d_Parabola : public Geom2d_Conic
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{
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public:
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//! Creates a parabola from a non persistent one.
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Standard_EXPORT Geom2d_Parabola(const gp_Parab2d& Prb);
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//! Creates a parabola with its "MirrorAxis" and it's focal
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//! length "Focal".
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//! MirrorAxis is the axis of symmetry of the curve, it is the
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//! "XAxis". The "YAxis" is parallel to the directrix of the
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//! parabola and is in the direct sense if Sense is True.
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//! The "Location" point of "MirrorAxis" is the vertex of the parabola
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//! Raised if Focal < 0.0
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Standard_EXPORT Geom2d_Parabola(const gp_Ax2d& MirrorAxis, const Standard_Real Focal, const Standard_Boolean Sense = Standard_True);
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//! Creates a parabola with its Axis and it's focal
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//! length "Focal".
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//! The XDirection of Axis is the axis of symmetry of the curve,
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//! it is the "XAxis". The "YAxis" is parallel to the directrix of the
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//! parabola. The "Location" point of "Axis" is the vertex
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//! of the parabola.
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//! Raised if Focal < 0.0
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Standard_EXPORT Geom2d_Parabola(const gp_Ax22d& Axis, 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.
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Standard_EXPORT Geom2d_Parabola(const gp_Ax2d& D, const gp_Pnt2d& F);
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//! Assigns the value Focal to the focal length of this parabola.
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//! Exceptions Standard_ConstructionError if Focal is negative.
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Standard_EXPORT void SetFocal (const Standard_Real Focal);
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//! Converts the gp_Parab2d parabola Prb into this parabola.
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Standard_EXPORT void SetParab2d (const gp_Parab2d& Prb);
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//! Returns the non persistent parabola from gp with the same
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//! geometric properties as <me>.
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Standard_EXPORT gp_Parab2d Parab2d() const;
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//! Computes the parameter on the reversed parabola
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//! for the point of parameter U on this parabola.
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//! For a parabola, the returned value is -U.
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Standard_EXPORT Standard_Real ReversedParameter (const Standard_Real U) const Standard_OVERRIDE;
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//! Returns RealFirst from Standard.
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Standard_EXPORT Standard_Real FirstParameter() const Standard_OVERRIDE;
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//! Returns RealLast from Standard.
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Standard_EXPORT Standard_Real LastParameter() const Standard_OVERRIDE;
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//! Returns False
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Standard_EXPORT Standard_Boolean IsClosed() const Standard_OVERRIDE;
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//! Returns False
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Standard_EXPORT Standard_Boolean IsPeriodic() const Standard_OVERRIDE;
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//! The directrix is parallel to the "YAxis" of the parabola.
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//! The "Location" point of the directrix is the intersection
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//! point between the directrix and the symmetry axis ("XAxis") of the parabola.
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Standard_EXPORT gp_Ax2d Directrix() const;
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//! Returns the eccentricity e = 1.0
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Standard_EXPORT Standard_Real Eccentricity() const Standard_OVERRIDE;
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//! Computes the focus of this parabola The focus is on the
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//! positive side of the "X Axis" of the local coordinate system of the parabola.
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Standard_EXPORT gp_Pnt2d Focus() const;
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//! Computes the focal length of this parabola.
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//! The focal length is the distance between the apex and the focus of the parabola.
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Standard_EXPORT Standard_Real Focal() const;
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//! Computes the parameter of this parabola, which is
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//! the distance between its focus and its directrix. This
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//! distance is twice the focal length.
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//! If P is the parameter of the parabola, the equation of
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//! the parabola in its local coordinate system is: Y**2 = 2.*P*X.
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Standard_EXPORT Standard_Real Parameter() const;
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//! Returns in P the point of parameter U.
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//! If U = 0 the returned point is the origin of the XAxis and
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//! the YAxis of the parabola and it is the vertex of the parabola.
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//! P = S + F * (U * U * XDir + * U * YDir)
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//! where S is the vertex of the parabola, XDir the XDirection and
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//! YDir the YDirection of the parabola's local coordinate system.
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Standard_EXPORT void D0 (const Standard_Real U, gp_Pnt2d& P) const Standard_OVERRIDE;
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//! Returns the point P of parameter U and the first derivative V1.
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Standard_EXPORT void D1 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1) const Standard_OVERRIDE;
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//! Returns the point P of parameter U, the first and second
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//! derivatives V1 and V2.
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Standard_EXPORT void D2 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2) const Standard_OVERRIDE;
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//! Returns the point P of parameter U, the first second and third
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//! derivatives V1 V2 and V3.
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Standard_EXPORT void D3 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3) const Standard_OVERRIDE;
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//! For the point of parameter U of this parabola,
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//! computes the vector corresponding to the Nth derivative.
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//! Exceptions Standard_RangeError if N is less than 1.
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Standard_EXPORT gp_Vec2d DN (const Standard_Real U, const Standard_Integer N) const Standard_OVERRIDE;
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//! Applies the transformation T to this parabola.
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Standard_EXPORT void Transform (const gp_Trsf2d& T) Standard_OVERRIDE;
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//! Computes the parameter on the transformed
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//! parabola, for the point of parameter U on this parabola.
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//! For a parabola, the returned value is equal to U
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//! multiplied by the scale factor of transformation T.
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Standard_EXPORT Standard_Real TransformedParameter (const Standard_Real U, const gp_Trsf2d& T) const Standard_OVERRIDE;
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//! Returns a coefficient to compute the parameter on
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//! the transformed curve for the transform of the
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//! point on <me>.
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//!
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//! Transformed(T)->Value(U * ParametricTransformation(T))
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//!
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//! is the same point as
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//!
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//! Value(U).Transformed(T)
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//!
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//! This methods returns T.ScaleFactor()
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Standard_EXPORT Standard_Real ParametricTransformation (const gp_Trsf2d& T) const Standard_OVERRIDE;
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//! Creates a new object, which is a copy of this parabola.
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Standard_EXPORT Handle(Geom2d_Geometry) Copy() const Standard_OVERRIDE;
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DEFINE_STANDARD_RTTIEXT(Geom2d_Parabola,Geom2d_Conic)
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protected:
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private:
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Standard_Real focalLength;
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};
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#endif // _Geom2d_Parabola_HeaderFile
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