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 // Created on: 1991-12-02
 // Created by: Laurent PAINNOT
 // Copyright (c) 1991-1999 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 _AppParCurves_MultiCurve_HeaderFile
 #define _AppParCurves_MultiCurve_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 #include <Standard_Handle.hxx>
 
 #include <AppParCurves_HArray1OfMultiPoint.hxx>
 #include <Standard_Integer.hxx>
 #include <AppParCurves_Array1OfMultiPoint.hxx>
 #include <TColgp_Array1OfPnt.hxx>
 #include <TColgp_Array1OfPnt2d.hxx>
 #include <Standard_Real.hxx>
 #include <Standard_OStream.hxx>
 class AppParCurves_MultiPoint;
 class gp_Pnt;
 class gp_Pnt2d;
 class gp_Vec;
 class gp_Vec2d;
 
 
 //! This class describes a MultiCurve approximating a Multiline.
 //! As a Multiline is a set of n lines, a MultiCurve is a set
 //! of n curves. These curves are Bezier curves.
 //! A MultiCurve is composed of m MultiPoint.
 //! The approximating degree of these n curves is the same for
 //! each one.
 //!
 //! Example of a MultiCurve composed of MultiPoints:
 //!
 //! P1______P2_____P3______P4________........_____PNbMPoints
 //!
 //! Q1______Q2_____Q3______Q4________........_____QNbMPoints
 //! .                                               .
 //! .                                               .
 //! .                                               .
 //! R1______R2_____R3______R4________........_____RNbMPoints
 //!
 //! Pi, Qi, ..., Ri are points of dimension 2 or 3.
 //!
 //! (Pi, Qi, ...Ri), i= 1,...NbPoles are MultiPoints.
 //! each MultiPoint has got NbPol Poles.
 class AppParCurves_MultiCurve 
 {
 public:
 
   DEFINE_STANDARD_ALLOC
 
   
   //! returns an indefinite MultiCurve.
   Standard_EXPORT AppParCurves_MultiCurve();
   
   //! creates a MultiCurve, describing Bezier curves all
   //! containing the same number of MultiPoint.
   //! An exception is raised if Degree < 0.
   Standard_EXPORT AppParCurves_MultiCurve(const Standard_Integer NbPol);
   
   //! creates a MultiCurve, describing Bezier curves all
   //! containing the same number of MultiPoint.
   //! Each MultiPoint must have NbCurves Poles.
   Standard_EXPORT AppParCurves_MultiCurve(const AppParCurves_Array1OfMultiPoint& tabMU);
   Standard_EXPORT virtual ~AppParCurves_MultiCurve();
   
   //! The number of poles of the MultiCurve
   //! will be set to <nbPoles>.
   Standard_EXPORT void SetNbPoles (const Standard_Integer nbPoles);
   
   //! sets the MultiPoint of range Index to the value
   //! <MPoint>.
   //! An exception is raised if Index <0 or Index >NbMPoint.
   Standard_EXPORT void SetValue (const Standard_Integer Index, const AppParCurves_MultiPoint& MPoint);
   
   //! Returns the number of curves resulting from the
   //! approximation of a MultiLine.
   Standard_EXPORT Standard_Integer NbCurves() const;
   
   //! Returns the number of poles on curves resulting from the approximation of a MultiLine.
   Standard_EXPORT virtual Standard_Integer NbPoles() const;
   
   //! returns the degree of the curves.
   Standard_EXPORT virtual Standard_Integer Degree() const;
   
   //! returns the dimension of the CuIndex curve.
   //! An exception is raised if CuIndex<0 or CuIndex>NbCurves.
   Standard_EXPORT Standard_Integer Dimension (const Standard_Integer CuIndex) const;
   
   //! returns the Pole array of the curve of range CuIndex.
   //! An exception is raised if the dimension of the curve
   //! is 2d.
   Standard_EXPORT void Curve (const Standard_Integer CuIndex, TColgp_Array1OfPnt& TabPnt) const;
   
   //! returns the Pole array of the curve of range CuIndex.
   //! An exception is raised if the dimension of the curve
   //! is 3d.
   Standard_EXPORT void Curve (const Standard_Integer CuIndex, TColgp_Array1OfPnt2d& TabPnt) const;
   
   //! returns the Index MultiPoint.
   //! An exception is raised if Index <0 or Index >Degree+1.
   Standard_EXPORT const AppParCurves_MultiPoint& Value (const Standard_Integer Index) const;
   
   //! returns the Nieme pole of the CuIndex curve.
   //! the curve must be a 3D curve.
   Standard_EXPORT const gp_Pnt& Pole (const Standard_Integer CuIndex, const Standard_Integer Nieme) const;
   
   //! returns the Nieme pole of the CuIndex curve.
   //! the curve must be a 2D curve.
   Standard_EXPORT const gp_Pnt2d& Pole2d (const Standard_Integer CuIndex, const Standard_Integer Nieme) const;
   
   //! Applies a transformation to the curve of range
   //! <CuIndex>.
   //! newx = x + dx*oldx
   //! newy = y + dy*oldy    for all points of the curve.
   //! newz = z + dz*oldz
   Standard_EXPORT void Transform (const Standard_Integer CuIndex, const Standard_Real x, const Standard_Real dx, const Standard_Real y, const Standard_Real dy, const Standard_Real z, const Standard_Real dz);
   
   //! Applies a transformation to the Curve of range
   //! <CuIndex>.
   //! newx = x + dx*oldx
   //! newy = y + dy*oldy    for all points of the curve.
   Standard_EXPORT void Transform2d (const Standard_Integer CuIndex, const Standard_Real x, const Standard_Real dx, const Standard_Real y, const Standard_Real dy);
   
   //! returns the value of the point with a parameter U
   //! on the Bezier curve number CuIndex.
   //! An exception is raised if CuIndex <0 or > NbCurves.
   //! An exception is raised if the curve dimension is 2d.
   Standard_EXPORT virtual void Value (const Standard_Integer CuIndex, const Standard_Real U, gp_Pnt& Pt) const;
   
   //! returns the value of the point with a parameter U
   //! on the Bezier curve number CuIndex.
   //! An exception is raised if CuIndex <0 or > NbCurves.
   //! An exception is raised if the curve dimension is 3d.
   Standard_EXPORT virtual void Value (const Standard_Integer CuIndex, const Standard_Real U, gp_Pnt2d& Pt) const;
   
   //! returns the value of the point with a parameter U
   //! on the Bezier curve number CuIndex.
   //! An exception is raised if CuIndex <0 or > NbCurves.
   //! An exception is raised if the curve dimension is 3d.
   Standard_EXPORT virtual void D1 (const Standard_Integer CuIndex, const Standard_Real U, gp_Pnt& Pt, gp_Vec& V1) const;
   
   //! returns the value of the point with a parameter U
   //! on the Bezier curve number CuIndex.
   //! An exception is raised if CuIndex <0 or > NbCurves.
   //! An exception is raised if the curve dimension is 2d.
   Standard_EXPORT virtual void D1 (const Standard_Integer CuIndex, const Standard_Real U, gp_Pnt2d& Pt, gp_Vec2d& V1) const;
   
   //! returns the value of the point with a parameter U
   //! on the Bezier curve number CuIndex.
   //! An exception is raised if CuIndex <0 or > NbCurves.
   //! An exception is raised if the curve dimension is 3d.
   Standard_EXPORT virtual void D2 (const Standard_Integer CuIndex, const Standard_Real U, gp_Pnt& Pt, gp_Vec& V1, gp_Vec& V2) const;
   
   //! returns the value of the point with a parameter U
   //! on the Bezier curve number CuIndex.
   //! An exception is raised if CuIndex <0 or > NbCurves.
   //! An exception is raised if the curve dimension is 2d.
   Standard_EXPORT virtual void D2 (const Standard_Integer CuIndex, const Standard_Real U, gp_Pnt2d& Pt, gp_Vec2d& V1, gp_Vec2d& V2) const;
   
   //! Prints on the stream o information on the current
   //! state of the object.
   //! Is used to redefine the operator <<.
   Standard_EXPORT virtual void Dump (Standard_OStream& o) const;
 
 
 
 
 protected:
 
 
 
   Handle(AppParCurves_HArray1OfMultiPoint) tabPoint;
 
 
 private:
 
 
 
 
 
 };
 
 
 
 
 
 
 
 #endif // _AppParCurves_MultiCurve_HeaderFile

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