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// Created on: 1997-06-25
// Created by: Philippe MANGIN
// Copyright (c) 1997-1999 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 _Approx_SweepFunction_HeaderFile
#define _Approx_SweepFunction_HeaderFile
#include <Standard.hxx>
#include <GeomAbs_Shape.hxx>
#include <Standard_Integer.hxx>
#include <Standard_Real.hxx>
#include <Standard_Transient.hxx>
#include <NCollection_Array1.hxx>
#include <gp_Pnt.hxx>
#include <gp_Pnt2d.hxx>
#include <gp_Vec.hxx>
#include <gp_Vec2d.hxx>
class gp_Pnt;
//! defined the function used by SweepApproximation to
//! perform sweeping application.
class Approx_SweepFunction : public Standard_Transient
{
public:
//! compute the section for v = param
Standard_EXPORT virtual bool D0(const double Param,
const double First,
const double Last,
NCollection_Array1<gp_Pnt>& Poles,
NCollection_Array1<gp_Pnt2d>& Poles2d,
NCollection_Array1<double>& Weigths) = 0;
//! compute the first derivative in v direction of the
//! section for v = param
//! Warning : It used only for C1 or C2 approximation
Standard_EXPORT virtual bool D1(const double Param,
const double First,
const double Last,
NCollection_Array1<gp_Pnt>& Poles,
NCollection_Array1<gp_Vec>& DPoles,
NCollection_Array1<gp_Pnt2d>& Poles2d,
NCollection_Array1<gp_Vec2d>& DPoles2d,
NCollection_Array1<double>& Weigths,
NCollection_Array1<double>& DWeigths);
//! compute the second derivative in v direction of the
//! section for v = param
//! Warning : It used only for C2 approximation
Standard_EXPORT virtual bool D2(const double Param,
const double First,
const double Last,
NCollection_Array1<gp_Pnt>& Poles,
NCollection_Array1<gp_Vec>& DPoles,
NCollection_Array1<gp_Vec>& D2Poles,
NCollection_Array1<gp_Pnt2d>& Poles2d,
NCollection_Array1<gp_Vec2d>& DPoles2d,
NCollection_Array1<gp_Vec2d>& D2Poles2d,
NCollection_Array1<double>& Weigths,
NCollection_Array1<double>& DWeigths,
NCollection_Array1<double>& D2Weigths);
//! get the number of 2d curves to approximate.
Standard_EXPORT virtual int Nb2dCurves() const = 0;
//! get the format of an section
Standard_EXPORT virtual void SectionShape(int& NbPoles, int& NbKnots, int& Degree) const = 0;
//! get the Knots of the section
Standard_EXPORT virtual void Knots(NCollection_Array1<double>& TKnots) const = 0;
//! get the Multplicities of the section
Standard_EXPORT virtual void Mults(NCollection_Array1<int>& TMults) const = 0;
//! Returns if the sections are rational or not
Standard_EXPORT virtual bool IsRational() const = 0;
//! Returns the number of intervals for continuity
//! <S>.
//! May be one if Continuity(me) >= <S>
Standard_EXPORT virtual int NbIntervals(const GeomAbs_Shape S) const = 0;
//! Stores in <T> the parameters bounding the intervals
//! of continuity <S>.
//!
//! The array must provide enough room to accommodate
//! for the parameters. i.e. T.Length() > NbIntervals()
Standard_EXPORT virtual void Intervals(NCollection_Array1<double>& T,
const GeomAbs_Shape S) const = 0;
//! Sets the bounds of the parametric interval on
//! the function
//! This determines the derivatives in these values if the
//! function is not Cn.
Standard_EXPORT virtual void SetInterval(const double First, const double Last) = 0;
//! Returns the resolutions in the sub-space 2d <Index>
//! This information is useful to find a good tolerance in
//! 2d approximation.
Standard_EXPORT virtual void Resolution(const int Index,
const double Tol,
double& TolU,
double& TolV) const;
//! Returns the tolerance to reach in approximation
//! to satisfy.
//! BoundTol error at the Boundary
//! AngleTol tangent error at the Boundary (in radian)
//! SurfTol error inside the surface.
Standard_EXPORT virtual void GetTolerance(const double BoundTol,
const double SurfTol,
const double AngleTol,
NCollection_Array1<double>& Tol3d) const = 0;
//! Is useful, if (me) have to run numerical algorithm to perform D0, D1 or D2
Standard_EXPORT virtual void SetTolerance(const double Tol3d, const double Tol2d) = 0;
//! Get the barycentre of Surface.
//! An very poor estimation is sufficient.
//! This information is useful to perform well conditioned rational approximation.
//! Warning: Used only if <me> IsRational
Standard_EXPORT virtual gp_Pnt BarycentreOfSurf() const;
//! Returns the length of the greater section.
//! This information is useful to G1's control.
//! Warning: With an little value, approximation can be slower.
Standard_EXPORT virtual double MaximalSection() const;
//! Compute the minimal value of weight for each poles in all sections.
//! This information is useful to control error in rational approximation.
//! Warning: Used only if <me> IsRational
Standard_EXPORT virtual void GetMinimalWeight(NCollection_Array1<double>& Weigths) const;
DEFINE_STANDARD_RTTIEXT(Approx_SweepFunction, Standard_Transient)
};
#endif // _Approx_SweepFunction_HeaderFile
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