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#ifndef _Geom2d_BezierCurve_HeaderFile
#define _Geom2d_BezierCurve_HeaderFile

#include <Standard.hxx>
#include <Standard_DefineHandle.hxx>
#include <Handle_Geom2d_BezierCurve.hxx>

#include <Standard_Boolean.hxx>
#include <Handle_TColgp_HArray1OfPnt2d.hxx>
#include <Handle_TColStd_HArray1OfReal.hxx>
#include <Standard_Integer.hxx>
#include <Standard_Real.hxx>
#include <Geom2d_BoundedCurve.hxx>
#include <GeomAbs_Shape.hxx>
#include <Handle_Geom2d_Geometry.hxx>
class TColgp_HArray1OfPnt2d;
class TColStd_HArray1OfReal;
class Standard_ConstructionError;
class Standard_DimensionError;
class Standard_RangeError;
class Standard_OutOfRange;
class TColgp_Array1OfPnt2d;
class TColStd_Array1OfReal;
class gp_Pnt2d;
class gp_Vec2d;
class gp_Trsf2d;
class Geom2d_Geometry;


//! Describes a rational or non-rational Bezier curve
//! - a non-rational Bezier curve is defined by a table
//! of poles (also called control points),
//! - a rational Bezier curve is defined by a table of
//! poles with varying weights.
//! These data are manipulated by two parallel arrays:
//! - the poles table, which is an array of gp_Pnt2d points, and
//! - the weights table, which is an array of reals.
//! The bounds of these arrays are 1 and "the number of poles" of the curve.
//! The poles of the curve are "control points" used to deform the curve.
//! The first pole is the start point of the curve, and the
//! last pole is the end point of the curve. The segment
//! which joins the first pole to the second pole is the
//! tangent to the curve at its start point, and the
//! segment which joins the last pole to the
//! second-from-last pole is the tangent to the curve
//! at its end point.
//! It is more difficult to give a geometric signification
//! to the weights but they are useful for providing
//! exact representations of the arcs of a circle or
//! ellipse. Moreover, if the weights of all the poles are
//! equal, the curve is polynomial; it is therefore a
//! non-rational curve. The non-rational curve is a
//! special and frequently used case. The weights are
//! defined and used only in case of a rational curve.
//! The degree of a Bezier curve is equal to the
//! number of poles, minus 1. It must be greater than or
//! equal to 1. However, the degree of a
//! Geom2d_BezierCurve curve is limited to a value
//! (25) which is defined and controlled by the system.
//! This value is returned by the function MaxDegree.
//! The parameter range for a Bezier curve is [ 0, 1 ].
//! If the first and last control points of the Bezier
//! curve are the same point then the curve is closed.
//! For example, to create a closed Bezier curve with
//! four control points, you have to give a set of control
//! points P1, P2, P3 and P1.
//! The continuity of a Bezier curve is infinite.
//! It is not possible to build a Bezier curve with
//! negative weights. We consider that a weight value
//! is zero if it is less than or equal to
//! gp::Resolution(). We also consider that
//! two weight values W1 and W2 are equal if:
//! |W2 - W1| <= gp::Resolution().
//! Warning
//! - When considering the continuity of a closed
//! Bezier curve at the junction point, remember that
//! a curve of this type is never periodic. This means
//! that the derivatives for the parameter u = 0
//! have no reason to be the same as the
//! derivatives for the parameter u = 1 even if the curve is closed.
//! - The length of a Bezier curve can be null.
class Geom2d_BezierCurve : public Geom2d_BoundedCurve
{

public:

  

  //! Creates a non rational Bezier curve with a set of poles :
  //! CurvePoles.  The weights are defaulted to all being 1.
  //! Raises ConstructionError if the number of poles is greater than MaxDegree + 1
  //! or lower than 2.
  Standard_EXPORT Geom2d_BezierCurve(const TColgp_Array1OfPnt2d& CurvePoles);
  

  //! Creates a rational Bezier curve with the set of poles
  //! CurvePoles and the set of weights  PoleWeights .
  //! If all the weights are identical the curve is considered
  //! as non rational.  Raises ConstructionError if
  //! the number of poles is greater than  MaxDegree + 1 or lower
  //! than 2 or CurvePoles and CurveWeights have not the same length
  //! or one weight value is lower or equal to Resolution from
  //! package gp.
  Standard_EXPORT Geom2d_BezierCurve(const TColgp_Array1OfPnt2d& CurvePoles, const TColStd_Array1OfReal& PoleWeights);
  

  //! Increases the degree of a bezier curve. Degree is the new
  //! degree of <me>.
  //! raises ConstructionError if Degree is greater than MaxDegree or lower than 2
  //! or lower than the initial degree of <me>.
  Standard_EXPORT   void Increase (const Standard_Integer Degree) ;
  

  //! Inserts a pole with its weight in the set of poles after the
  //! pole of range Index. If the curve was non rational it can
  //! become rational if all the weights are not identical.
  //! Raised if Index is not in the range [0, NbPoles]
  //!
  //! Raised if the resulting number of poles is greater than
  //! MaxDegree + 1.
  Standard_EXPORT   void InsertPoleAfter (const Standard_Integer Index, const gp_Pnt2d& P, const Standard_Real Weight = 1.0) ;
  

  //! Inserts a pole with its weight in the set of poles after
  //! the pole of range Index. If the curve was non rational it
  //! can become rational if all the weights are not identical.
  //! Raised if Index is not in the range [1, NbPoles+1]
  //!
  //! Raised if the resulting number of poles is greater than
  //! MaxDegree + 1.
  Standard_EXPORT   void InsertPoleBefore (const Standard_Integer Index, const gp_Pnt2d& P, const Standard_Real Weight = 1.0) ;
  
  //! Removes the pole of range Index.
  //! If the curve was rational it can become non rational.
  //! Raised if Index is not in the range [1, NbPoles]
  Standard_EXPORT   void RemovePole (const Standard_Integer Index) ;
  

  //! Reverses the direction of parametrization of <me>
  //! Value (NewU) =  Value (1 - OldU)
  Standard_EXPORT   void Reverse() ;
  
  //! Returns the  parameter on the  reversed  curve for
  //! the point of parameter U on <me>.
  //!
  //! returns 1-U
  Standard_EXPORT   Standard_Real ReversedParameter (const Standard_Real U)  const;
  

  //! Segments the curve between U1 and U2 which can be out
  //! of the bounds of the curve. The curve is oriented from U1
  //! to U2.
  //! The control points are modified, the first and the last point
  //! are not the same but the parametrization range is [0, 1]
  //! else it could not be a Bezier curve.
  //! Warnings :
  //! Even if <me> is not closed it can become closed after the
  //! segmentation for example if U1 or U2 are out of the bounds
  //! of the curve <me> or if the curve makes loop.
  //! After the segmentation the length of a curve can be null.
  Standard_EXPORT   void Segment (const Standard_Real U1, const Standard_Real U2) ;
  

  //! Substitutes the pole of range index with P.
  //! If the curve <me> is rational the weight of range Index
  //! is not modified.
  //! raiseD if Index is not in the range [1, NbPoles]
  Standard_EXPORT   void SetPole (const Standard_Integer Index, const gp_Pnt2d& P) ;
  

  //! Substitutes the pole and the weights of range Index.
  //! If the curve <me> is not rational it can become rational
  //! if all the weights are not identical.
  //! If the curve was rational it can become non rational if
  //! all the weights are identical.
  //! Raised if Index is not in the range [1, NbPoles]
  //! Raised if Weight <= Resolution from package gp
  Standard_EXPORT   void SetPole (const Standard_Integer Index, const gp_Pnt2d& P, const Standard_Real Weight) ;
  

  //! Changes the weight of the pole of range Index.
  //! If the curve <me> is not rational it can become rational
  //! if all the weights are not identical.
  //! If the curve was rational it can become non rational if
  //! all the weights are identical.
  //! Raised if Index is not in the range [1, NbPoles]
  //! Raised if Weight <= Resolution from package gp
  Standard_EXPORT   void SetWeight (const Standard_Integer Index, const Standard_Real Weight) ;
  

  //! Returns True if the distance between the first point
  //! and the last point of the curve is lower or equal to
  //! the Resolution from package gp.
  Standard_EXPORT   Standard_Boolean IsClosed()  const;
  
  //! Continuity of the curve, returns True.
  Standard_EXPORT   Standard_Boolean IsCN (const Standard_Integer N)  const;
  

  //! Returns False. A BezierCurve cannot be periodic in this
  //! package
  Standard_EXPORT   Standard_Boolean IsPeriodic()  const;
  

  //! Returns false if all the weights are identical. The tolerance
  //! criterion is Resolution from package gp.
  Standard_EXPORT   Standard_Boolean IsRational()  const;
  
  //! Returns GeomAbs_CN, which is the continuity of any Bezier curve.
  Standard_EXPORT   GeomAbs_Shape Continuity()  const;
  

  //! Returns the polynomial degree of the curve. It is the number
  //! of poles less one.  In this package the Degree of a Bezier
  //! curve cannot be greater than "MaxDegree".
  Standard_EXPORT   Standard_Integer Degree()  const;
  
  Standard_EXPORT   void D0 (const Standard_Real U, gp_Pnt2d& P)  const;
  
  Standard_EXPORT   void D1 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1)  const;
  
  Standard_EXPORT   void D2 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2)  const;
  
  Standard_EXPORT   void D3 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3)  const;
  
  //! For this Bezier curve, computes
  //! - the point P of parameter U, or
  //! - the point P and one or more of the following values:
  //! - V1, the first derivative vector,
  //! - V2, the second derivative vector,
  //! - V3, the third derivative vector.
  //! Note: the parameter U can be outside the bounds of the curve.
  //! Raises RangeError if N < 1.
  Standard_EXPORT   gp_Vec2d DN (const Standard_Real U, const Standard_Integer N)  const;
  
  //! Returns the end point or start point of this Bezier curve.
  Standard_EXPORT   gp_Pnt2d EndPoint()  const;
  
  //! Returns the value of the first  parameter of this
  //! Bezier curve. This is  0.0, which gives the start point of this Bezier curve.
  Standard_EXPORT   Standard_Real FirstParameter()  const;
  
  //! Returns the value of the last  parameter of this
  //! Bezier curve. This is  1.0, which gives the end point of this Bezier curve.
  Standard_EXPORT   Standard_Real LastParameter()  const;
  
  //! Returns the number of poles for this Bezier curve.
  Standard_EXPORT   Standard_Integer NbPoles()  const;
  
  //! Returns the pole of range Index.
  //! Raised if Index is not in the range [1, NbPoles]
  Standard_EXPORT   gp_Pnt2d Pole (const Standard_Integer Index)  const;
  
  //! Returns all the poles of the curve.
  //!
  //! Raised if the length of P is not equal to the number of poles.
  Standard_EXPORT   void Poles (TColgp_Array1OfPnt2d& P)  const;
  

  //! Returns Value (U=1), it is the first control point
  //! of the curve.
  Standard_EXPORT   gp_Pnt2d StartPoint()  const;
  
  //! Returns the weight of range Index.
  //! Raised if Index is not in the range [1, NbPoles]
  Standard_EXPORT   Standard_Real Weight (const Standard_Integer Index)  const;
  
  //! Returns all the weights of the curve.
  //!
  //! Raised if the length of W is not equal to the number of poles.
  Standard_EXPORT   void Weights (TColStd_Array1OfReal& W)  const;
  
  //! Applies the transformation T to this Bezier curve.
  Standard_EXPORT   void Transform (const gp_Trsf2d& T) ;
  

  //! Returns the value of the maximum polynomial degree of a
  //! BezierCurve. This value is 25.
  Standard_EXPORT static   Standard_Integer MaxDegree() ;
  
  //! Computes for this Bezier curve the parametric
  //! tolerance UTolerance for a given tolerance
  //! Tolerance3D (relative to dimensions in the plane).
  //! If f(t) is the equation of this Bezier curve,
  //! UTolerance ensures that
  //! | t1 - t0| < Utolerance ===>
  //! |f(t1) - f(t0)| < ToleranceUV
  Standard_EXPORT   void Resolution (const Standard_Real ToleranceUV, Standard_Real& UTolerance) ;
  
  //! Creates a new object which is a copy of this Bezier curve.
  Standard_EXPORT   Handle(Geom2d_Geometry) Copy()  const;




  DEFINE_STANDARD_RTTI(Geom2d_BezierCurve)

protected:




private: 

  
  //! Set  poles  to  Poles,  weights to  Weights  (not
  //! copied). If Weights is   null  the  curve is    non
  //! rational. Create the arrays of coefficients.  Poles
  //! and    Weights  are   assumed   to  have the  first
  //! coefficient 1.
  //!
  //! Update rational and closed.
  //!
  //! if nbpoles < 2 or nbboles > MaDegree + 1
  Standard_EXPORT   void Init (const Handle(TColgp_HArray1OfPnt2d)& Poles, const Handle(TColStd_HArray1OfReal)& Weights) ;
  
  //! returns true if the coefficients have been
  //! computed with the right value of cacheparameter
  //! for the given U value.
  Standard_EXPORT   Standard_Boolean CoefficientsOK (const Standard_Real U)  const;
  
  //! Recompute the coeficients.
  Standard_EXPORT   void UpdateCoefficients (const Standard_Real U = 0.0) ;

  Standard_Boolean rational;
  Standard_Boolean closed;
  Handle(TColgp_HArray1OfPnt2d) poles;
  Handle(TColStd_HArray1OfReal) weights;
  Handle(TColgp_HArray1OfPnt2d) coeffs;
  Handle(TColStd_HArray1OfReal) wcoeffs;
  Standard_Integer validcache;
  Standard_Real parametercache;
  Standard_Real spanlenghtcache;
  Standard_Real maxderivinv;
  Standard_Boolean maxderivinvok;


};







#endif // _Geom2d_BezierCurve_HeaderFile
