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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_TrimmedCurve_HeaderFile
 #define _Geom_TrimmedCurve_HeaderFile
 
 #include <Standard.hxx>
 #include <Standard_Type.hxx>
 
 #include <Geom_BoundedCurve.hxx>
 #include <GeomAbs_Shape.hxx>
 class Geom_Curve;
 class gp_Trsf;
 class Geom_Geometry;
 
 //! Describes a portion of a curve (termed the "basis
 //! curve") limited by two parameter values inside the
 //! parametric domain of the basis curve.
 //! The trimmed curve is defined by:
 //! - the basis curve, and
 //! - the two parameter values which limit it.
 //! The trimmed curve can either have the same
 //! orientation as the basis curve or the opposite orientation.
 class Geom_TrimmedCurve : public Geom_BoundedCurve
 {
 
 public:
   //! Constructs a trimmed curve from the basis curve C
   //! which is limited between parameter values U1 and U2.
   //! Note: - U1 can be greater or less than U2; in both cases,
   //! the returned curve is oriented from U1 to U2.
   //! - If the basis curve C is periodic, there is an
   //! ambiguity because two parts are available. In this
   //! case, the trimmed curve has the same orientation
   //! as the basis curve if Sense is true (default value)
   //! or the opposite orientation if Sense is false.
   //! - If the curve is closed but not periodic, it is not
   //! possible to keep the part of the curve which
   //! includes the junction point (except if the junction
   //! point is at the beginning or at the end of the
   //! trimmed curve). If you tried to do this, you could
   //! alter the fundamental characteristics of the basis
   //! curve, which are used, for example, to compute
   //! the derivatives of the trimmed curve. The rules
   //! for a closed curve are therefore the same as
   //! those for an open curve.
   //! Warning: The trimmed curve is built from a copy of curve C.
   //! Therefore, when C is modified, the trimmed curve
   //! is not modified.
   //! - If the basis curve is periodic and theAdjustPeriodic is True,
   //! the bounds of the trimmed curve may be different from U1 and U2
   //! if the parametric origin of the basis curve is within
   //! the arc of the trimmed curve. In this case, the
   //! modified parameter will be equal to U1 or U2
   //! plus or minus the period.
   //! When theAdjustPeriodic is False, parameters U1 and U2 will be
   //! the same, without adjustment into the first period.
   //! Exceptions
   //! Standard_ConstructionError if:
   //! - C is not periodic and U1 or U2 is outside the
   //! bounds of C, or
   //! - U1 is equal to U2.
   Standard_EXPORT Geom_TrimmedCurve(const occ::handle<Geom_Curve>& C,
                                     const double                   U1,
                                     const double                   U2,
                                     const bool                     Sense             = true,
                                     const bool                     theAdjustPeriodic = true);
 
   //! Changes the orientation of this trimmed curve.
   //! As a result:
   //! - the basis curve is reversed,
   //! - the start point of the initial curve becomes the
   //! end point of the reversed curve,
   //! - the end point of the initial curve becomes the
   //! start point of the reversed curve,
   //! - the first and last parameters are recomputed.
   //! If the trimmed curve was defined by:
   //! - a basis curve whose parameter range is [ 0., 1. ],
   //! - the two trim values U1 (first parameter) and U2 (last parameter),
   //! the reversed trimmed curve is defined by:
   //! - the reversed basis curve, whose parameter range is still [ 0., 1. ],
   //! - the two trim values 1. - U2 (first parameter) and 1. - U1 (last parameter).
   Standard_EXPORT void Reverse() final;
 
   //! Computes the parameter on the reversed curve for
   //! the point of parameter U on this trimmed curve.
   Standard_EXPORT double ReversedParameter(const double U) const final;
 
   //! Changes this trimmed curve, by redefining the
   //! parameter values U1 and U2 which limit its basis curve.
   //! Note: If the basis curve is periodic, the trimmed curve
   //! has the same orientation as the basis curve if Sense
   //! is true (default value) or the opposite orientation if Sense is false.
   //! Warning
   //! If the basis curve is periodic and theAdjustPeriodic is True,
   //! the bounds of the trimmed curve may be different from U1 and U2 if the
   //! parametric origin of the basis curve is within the arc of
   //! the trimmed curve. In this case, the modified
   //! parameter will be equal to U1 or U2 plus or minus the period.
   //! When theAdjustPeriodic is False, parameters U1 and U2 will be
   //! the same, without adjustment into the first period.
   //! Exceptions
   //! Standard_ConstructionError if:
   //! - the basis curve is not periodic, and either U1 or U2
   //! are outside the bounds of the basis curve, or
   //! - U1 is equal to U2.
   Standard_EXPORT void SetTrim(const double U1,
                                const double U2,
                                const bool   Sense             = true,
                                const bool   theAdjustPeriodic = true);
 
   //! Returns the basis curve.
   //! Warning
   //! This function does not return a constant reference.
   //! Consequently, any modification of the returned value
   //! directly modifies the trimmed curve.
   Standard_EXPORT occ::handle<Geom_Curve> BasisCurve() const;
 
   //! Returns the continuity of the curve :
   //! C0 : only geometric continuity,
   //! C1 : continuity of the first derivative all along the Curve,
   //! C2 : continuity of the second derivative all along the Curve,
   //! C3 : continuity of the third derivative all along the Curve,
   //! CN : the order of continuity is infinite.
   Standard_EXPORT GeomAbs_Shape Continuity() const final;
 
   //! Returns true if the degree of continuity of the basis
   //! curve of this trimmed curve is at least N. A trimmed
   //! curve is at least "C0" continuous.
   //! Warnings :
   //! The continuity of the trimmed curve can be greater than
   //! the continuity of the basis curve because you consider
   //! only a part of the basis curve.
   //! Raised if N < 0.
   Standard_EXPORT bool IsCN(const int N) const final;
 
   //! Returns the end point of <me>. This point is the
   //! evaluation of the curve for the "LastParameter".
   Standard_EXPORT gp_Pnt EndPoint() const final;
 
   //! Returns the value of the first parameter of <me>.
   //! The first parameter is the parameter of the "StartPoint"
   //! of the trimmed curve.
   Standard_EXPORT double FirstParameter() const final;
 
   //! Returns TRUE if the basis curve is periodic and the trim spans
   //! exactly one full period, or if the distance between the StartPoint
   //! and the EndPoint is within computational precision.
   Standard_EXPORT bool IsClosed() const final;
 
   //! Returns TRUE if the basis curve is periodic and the trim
   //! spans exactly one full period. Returns FALSE otherwise.
   Standard_EXPORT bool IsPeriodic() const final;
 
   //! Returns the period of the basis curve of this trimmed curve.
   //! Exceptions
   //! Standard_NoSuchObject if the basis curve is not periodic.
   Standard_EXPORT double Period() const final;
 
   //! Returns the value of the last parameter of <me>.
   //! The last parameter is the parameter of the "EndPoint" of the
   //! trimmed curve.
   Standard_EXPORT double LastParameter() const final;
 
   //! Returns the start point of <me>.
   //! This point is the evaluation of the curve from the
   //! "FirstParameter".
   //! value and derivatives
   //! Warnings :
   //! The returned derivatives have the same orientation as the
   //! derivatives of the basis curve even if the trimmed curve
   //! has not the same orientation as the basis curve.
   Standard_EXPORT gp_Pnt StartPoint() const final;
 
   //! Returns the point of parameter U.
   //!
   //! If the basis curve is an OffsetCurve sometimes it is not
   //! possible to do the evaluation of the curve at the parameter
   //! U (see class OffsetCurve).
   Standard_EXPORT gp_Pnt EvalD0(const double U) const final;
 
   //! Raised if the continuity of the curve is not C1.
   Standard_EXPORT Geom_Curve::ResD1 EvalD1(const double U) const final;
 
   //! Raised if the continuity of the curve is not C2.
   Standard_EXPORT Geom_Curve::ResD2 EvalD2(const double U) const final;
 
   //! Raised if the continuity of the curve is not C3.
   Standard_EXPORT Geom_Curve::ResD3 EvalD3(const double U) const final;
 
   //! N is the order of derivation.
   //! Raised if the continuity of the curve is not CN.
   //! Raised if N < 1.
   //! geometric transformations
   Standard_EXPORT gp_Vec EvalDN(const double U, const int N) const final;
 
   //! Applies the transformation T to this trimmed curve.
   //! Warning The basis curve is also modified.
   Standard_EXPORT void Transform(const gp_Trsf& T) final;
 
   //! Returns the parameter on the transformed curve for
   //! the transform of the point of parameter U on <me>.
   //!
   //! me->Transformed(T)->Value(me->TransformedParameter(U,T))
   //!
   //! is the same point as
   //!
   //! me->Value(U).Transformed(T)
   //!
   //! This methods calls the basis curve method.
   Standard_EXPORT double TransformedParameter(const double U, const gp_Trsf& T) const final;
 
   //! Returns a coefficient to compute the parameter on
   //! the transformed curve for the transform of the
   //! point on <me>.
   //!
   //! Transformed(T)->Value(U * ParametricTransformation(T))
   //!
   //! is the same point as
   //!
   //! Value(U).Transformed(T)
   //!
   //! This methods calls the basis curve method.
   Standard_EXPORT double ParametricTransformation(const gp_Trsf& T) const final;
 
   //! Creates a new object which is a copy of this trimmed curve.
   Standard_EXPORT occ::handle<Geom_Geometry> Copy() const final;
 
   //! Dumps the content of me into the stream
   Standard_EXPORT void DumpJson(Standard_OStream& theOStream, int theDepth = -1) const final;
 
   DEFINE_STANDARD_RTTIEXT(Geom_TrimmedCurve, Geom_BoundedCurve)
 
 private:
   occ::handle<Geom_Curve> basisCurve;
   double                  uTrim1;
   double                  uTrim2;
 };
 
 #endif // _Geom_TrimmedCurve_HeaderFile

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