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occt/src/Geom/Geom_Plane.hxx
abv 42cf5bc1ca 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
2015-07-12 07:42:38 +03:00

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// Created on: 1993-03-10
// Created by: JCV
// Copyright (c) 1993-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.
#ifndef _Geom_Plane_HeaderFile
#define _Geom_Plane_HeaderFile
#include <Standard.hxx>
#include <Standard_Type.hxx>
#include <Geom_ElementarySurface.hxx>
#include <Standard_Real.hxx>
#include <Standard_Boolean.hxx>
#include <Standard_Integer.hxx>
class Standard_ConstructionError;
class Standard_RangeError;
class gp_Ax3;
class gp_Pln;
class gp_Pnt;
class gp_Dir;
class gp_Trsf;
class gp_GTrsf2d;
class Geom_Curve;
class gp_Vec;
class Geom_Geometry;
class Geom_Plane;
DEFINE_STANDARD_HANDLE(Geom_Plane, Geom_ElementarySurface)
//! Describes a plane in 3D space.
//! A plane is positioned in space by a coordinate system
//! (a gp_Ax3 object) such that the plane is defined by
//! the origin, "X Direction" and "Y Direction" of this
//! coordinate system.
//! This coordinate system is the "local coordinate
//! system" of the plane. The following apply:
//! - Its "X Direction" and "Y Direction" are respectively
//! the u and v parametric directions of the plane.
//! - Its origin is the origin of the u and v parameters
//! (also called the "origin" of the plane).
//! - Its "main Direction" is a vector normal to the plane.
//! This normal vector gives the orientation of the
//! plane only if the local coordinate system is "direct".
//! (The orientation of the plane is always defined by
//! the "X Direction" and the "Y Direction" of its local
//! coordinate system.)
//! The parametric equation of the plane is:
//! P(u, v) = O + u*XDir + v*YDir
//! where O, XDir and YDir are respectively the
//! origin, the "X Direction" and the "Y Direction" of the
//! local coordinate system of the plane.
//! The parametric range of the two parameters u and v
//! is ] -infinity, +infinity [.
class Geom_Plane : public Geom_ElementarySurface
{
public:
//! Creates a plane located in 3D space with an axis placement
//! three axis. The "ZDirection" of "A3" is the direction normal
//! to the plane. The "Location" point of "A3" is the origin of
//! the plane. The "XDirection" and "YDirection" of "A3" define
//! the directions of the U isoparametric and V isoparametric
//! curves.
Standard_EXPORT Geom_Plane(const gp_Ax3& A3);
//! Creates a plane from a non transient plane from package gp.
Standard_EXPORT Geom_Plane(const gp_Pln& Pl);
//! P is the "Location" point or origin of the plane.
//! V is the direction normal to the plane.
Standard_EXPORT Geom_Plane(const gp_Pnt& P, const gp_Dir& V);
//! Creates a plane from its cartesian equation :
//! Ax + By + Cz + D = 0.0
//!
//! Raised if Sqrt (A*A + B*B + C*C) <= Resolution from gp
Standard_EXPORT Geom_Plane(const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D);
//! Set <me> so that <me> has the same geometric properties as Pl.
Standard_EXPORT void SetPln (const gp_Pln& Pl);
//! Converts this plane into a gp_Pln plane.
Standard_EXPORT gp_Pln Pln() const;
//! Changes the orientation of this plane in the u (or v)
//! parametric direction. The bounds of the plane are not
//! changed but the given parametric direction is
//! reversed. Hence the orientation of the surface is reversed.
Standard_EXPORT virtual void UReverse() Standard_OVERRIDE;
//! Computes the u parameter on the modified
//! plane, produced when reversing the u
//! parametric of this plane, for any point of u parameter U on this plane.
//! In the case of a plane, these methods return - -U.
Standard_EXPORT Standard_Real UReversedParameter (const Standard_Real U) const;
//! Changes the orientation of this plane in the u (or v)
//! parametric direction. The bounds of the plane are not
//! changed but the given parametric direction is
//! reversed. Hence the orientation of the surface is reversed.
Standard_EXPORT virtual void VReverse() Standard_OVERRIDE;
//! Computes the v parameter on the modified
//! plane, produced when reversing the v
//! parametric of this plane, for any point of v parameter V on this plane.
//! In the case of a plane, these methods return -V.
Standard_EXPORT Standard_Real VReversedParameter (const Standard_Real V) const;
//! Computes the parameters on the transformed surface for
//! the transform of the point of parameters U,V on <me>.
//! me->Transformed(T)->Value(U',V')
//! is the same point as
//! me->Value(U,V).Transformed(T)
//! Where U',V' are the new values of U,V after calling
//! me->TranformParameters(U,V,T)
//! This methods multiplies U and V by T.ScaleFactor()
Standard_EXPORT virtual void TransformParameters (Standard_Real& U, Standard_Real& V, const gp_Trsf& T) const Standard_OVERRIDE;
//! Returns a 2d transformation used to find the new
//! parameters of a point on the transformed surface.
//! me->Transformed(T)->Value(U',V')
//! is the same point as
//! me->Value(U,V).Transformed(T)
//! Where U',V' are obtained by transforming U,V with
//! th 2d transformation returned by
//! me->ParametricTransformation(T)
//! This methods returns a scale centered on the
//! origin with T.ScaleFactor
Standard_EXPORT virtual gp_GTrsf2d ParametricTransformation (const gp_Trsf& T) const Standard_OVERRIDE;
//! Returns the parametric bounds U1, U2, V1 and V2 of this plane.
//! Because a plane is an infinite surface, the following is always true:
//! - U1 = V1 = Standard_Real::RealFirst()
//! - U2 = V2 = Standard_Real::RealLast().
Standard_EXPORT void Bounds (Standard_Real& U1, Standard_Real& U2, Standard_Real& V1, Standard_Real& V2) const;
//! Computes the normalized coefficients of the plane's
//! cartesian equation : Ax + By + Cz + D = 0.0
Standard_EXPORT void Coefficients (Standard_Real& A, Standard_Real& B, Standard_Real& C, Standard_Real& D) const;
//! return False
Standard_EXPORT Standard_Boolean IsUClosed() const;
//! return False
Standard_EXPORT Standard_Boolean IsVClosed() const;
//! return False.
Standard_EXPORT Standard_Boolean IsUPeriodic() const;
//! return False.
Standard_EXPORT Standard_Boolean IsVPeriodic() const;
//! Computes the U isoparametric curve.
//! This is a Line parallel to the YAxis of the plane.
Standard_EXPORT Handle(Geom_Curve) UIso (const Standard_Real U) const;
//! Computes the V isoparametric curve.
//! This is a Line parallel to the XAxis of the plane.
Standard_EXPORT Handle(Geom_Curve) VIso (const Standard_Real V) const;
//! Computes the point P (U, V) on <me>.
//! P = O + U * XDir + V * YDir.
//! where O is the "Location" point of the plane, XDir the
//! "XDirection" and YDir the "YDirection" of the plane's local
//! coordinate system.
Standard_EXPORT void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt& P) const;
//! Computes the current point and the first derivatives in the
//! directions U and V.
Standard_EXPORT void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt& P, gp_Vec& D1U, gp_Vec& D1V) const;
//! Computes the current point, the first and the second
//! derivatives in the directions U and V.
Standard_EXPORT void D2 (const Standard_Real U, const Standard_Real V, gp_Pnt& P, gp_Vec& D1U, gp_Vec& D1V, gp_Vec& D2U, gp_Vec& D2V, gp_Vec& D2UV) const;
//! Computes the current point, the first,the second and the
//! third derivatives in the directions U and V.
Standard_EXPORT void D3 (const Standard_Real U, const Standard_Real V, gp_Pnt& P, gp_Vec& D1U, gp_Vec& D1V, gp_Vec& D2U, gp_Vec& D2V, gp_Vec& D2UV, gp_Vec& D3U, gp_Vec& D3V, gp_Vec& D3UUV, gp_Vec& D3UVV) const;
//! Computes the derivative of order Nu in the direction u
//! and Nv in the direction v.
//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
Standard_EXPORT gp_Vec DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const;
//! Applies the transformation T to this plane.
Standard_EXPORT void Transform (const gp_Trsf& T);
//! Creates a new object which is a copy of this plane.
Standard_EXPORT Handle(Geom_Geometry) Copy() const;
DEFINE_STANDARD_RTTI(Geom_Plane,Geom_ElementarySurface)
protected:
private:
};
#endif // _Geom_Plane_HeaderFile