// Created on: 1993-03-24 // 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 _Geom2d_TrimmedCurve_HeaderFile #define _Geom2d_TrimmedCurve_HeaderFile #include #include #include #include #include #include #include class Geom2d_Curve; class Standard_ConstructionError; class Standard_RangeError; class Standard_NoSuchObject; class Geom2d_UndefinedDerivative; class Geom2d_UndefinedValue; class gp_Pnt2d; class gp_Vec2d; class gp_Trsf2d; class Geom2d_Geometry; class Geom2d_TrimmedCurve; DEFINE_STANDARD_HANDLE(Geom2d_TrimmedCurve, Geom2d_BoundedCurve) //! Defines a portion of a curve limited by two values of //! parameters inside the parametric domain of the 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 Geom2d_TrimmedCurve : public Geom2d_BoundedCurve { public: //! Creates a trimmed curve from the basis curve C limited between //! U1 and U2. //! //! . U1 can be greater or lower than U2. //! . 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 by default //! the trimmed curve has the same orientation as the basis //! curve (Sense = True). If Sense = False then the orientation //! of the trimmed curve is opposite to the orientation of the //! basis curve C. //! If the curve is closed but not periodic it is not possible //! to keep the part of the curve including the junction point //! (except if the junction point is at the beginning or //! at the end of the trimmed curve) because you could lose the //! fundamental characteristics of the basis curve which are //! used for example to compute the derivatives of the trimmed //! curve. So for a closed curve the rules are the same as for //! a open curve. //! Warnings : //! In this package the entities are not shared. The TrimmedCurve is //! built with a copy of the curve C. So when C is modified the //! TrimmedCurve is not modified //! Warnings : //! If is periodic and is True, parametrics //! bounds of the TrimmedCurve, can be different to [;}, //! if or are not in the principal period. //! Include : //! For more explanation see the scheme given with this class. //! Raises ConstructionError the C is not periodic and U1 or U2 are out of //! the bounds of C. //! Raised if U1 = U2. Standard_EXPORT Geom2d_TrimmedCurve(const Handle(Geom2d_Curve)& C, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean Sense = Standard_True, const Standard_Boolean theAdjustPeriodic = Standard_True); //! Changes the direction of parametrization of . The first and //! the last parametric values are modified. The "StartPoint" //! of the initial curve becomes the "EndPoint" of the reversed //! curve and the "EndPoint" of the initial curve becomes the //! "StartPoint" of the reversed curve. //! Example - If the trimmed curve is defined by: //! - a basis curve whose parameter range is [ 0.,1. ], and //! - 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. ], and //! - the two trim values 1. - U2 (first parameter) //! and 1. - U1 (last parameter). Standard_EXPORT void Reverse() Standard_OVERRIDE; //! Returns the parameter on the reversed curve for //! the point of parameter U on . //! //! returns UFirst + ULast - U Standard_EXPORT Standard_Real ReversedParameter (const Standard_Real U) const Standard_OVERRIDE; //! 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. //! If theAdjustPeriodic is False, parameters U1 and U2 will stay unchanged. //! 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 Standard_Real U1, const Standard_Real U2, const Standard_Boolean Sense = Standard_True, const Standard_Boolean theAdjustPeriodic = Standard_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 Handle(Geom2d_Curve) BasisCurve() const; //! Returns the global continuity of the basis curve of this trimmed 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 Standard_OVERRIDE; //! --- Purpose //! Returns True if the order of continuity of the //! trimmed curve is 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 Standard_Boolean IsCN (const Standard_Integer N) const Standard_OVERRIDE; //! Returns the end point of . This point is the //! evaluation of the curve for the "LastParameter". Standard_EXPORT gp_Pnt2d EndPoint() const Standard_OVERRIDE; //! Returns the value of the first parameter of . //! The first parameter is the parameter of the "StartPoint" //! of the trimmed curve. Standard_EXPORT Standard_Real FirstParameter() const Standard_OVERRIDE; //! Returns True if the distance between the StartPoint and //! the EndPoint is lower or equal to Resolution from package //! gp. Standard_EXPORT Standard_Boolean IsClosed() const Standard_OVERRIDE; //! Always returns FALSE (independently of the type of basis curve). Standard_EXPORT Standard_Boolean IsPeriodic() const Standard_OVERRIDE; //! Returns the period of the basis curve of this trimmed curve. //! Exceptions //! Standard_NoSuchObject if the basis curve is not periodic. Standard_EXPORT virtual Standard_Real Period() const Standard_OVERRIDE; //! Returns the value of the last parameter of . //! The last parameter is the parameter of the "EndPoint" of the //! trimmed curve. Standard_EXPORT Standard_Real LastParameter() const Standard_OVERRIDE; //! Returns the start point of . //! 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. Standard_EXPORT gp_Pnt2d StartPoint() const Standard_OVERRIDE; //! 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 void D0 (const Standard_Real U, gp_Pnt2d& P) const Standard_OVERRIDE; //! Raised if the continuity of the curve is not C1. Standard_EXPORT void D1 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1) const Standard_OVERRIDE; //! Raised if the continuity of the curve is not C2. Standard_EXPORT void D2 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2) const Standard_OVERRIDE; //! Raised if the continuity of the curve is not C3. Standard_EXPORT void D3 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3) const Standard_OVERRIDE; //! For the point of parameter U of this trimmed curve, //! computes the vector corresponding to the Nth derivative. //! Warning //! The returned derivative vector has the same //! orientation as the derivative vector of the basis curve, //! even if the trimmed curve does not have the same //! orientation as the basis curve. //! Exceptions //! Standard_RangeError if N is less than 1. //! geometric transformations Standard_EXPORT gp_Vec2d DN (const Standard_Real U, const Standard_Integer N) const Standard_OVERRIDE; //! Applies the transformation T to this trimmed curve. //! Warning The basis curve is also modified. Standard_EXPORT void Transform (const gp_Trsf2d& T) Standard_OVERRIDE; //! Returns the parameter on the transformed curve for //! the transform of the point of parameter U on . //! //! 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 virtual Standard_Real TransformedParameter (const Standard_Real U, const gp_Trsf2d& T) const Standard_OVERRIDE; //! Returns a coefficient to compute the parameter on //! the transformed curve for the transform of the //! point on . //! //! Transformed(T)->Value(U * ParametricTransformation(T)) //! //! is the same point as //! //! Value(U).Transformed(T) //! //! This methods calls the basis curve method. Standard_EXPORT virtual Standard_Real ParametricTransformation (const gp_Trsf2d& T) const Standard_OVERRIDE; //! Creates a new object, which is a copy of this trimmed curve. Standard_EXPORT Handle(Geom2d_Geometry) Copy() const Standard_OVERRIDE; DEFINE_STANDARD_RTTIEXT(Geom2d_TrimmedCurve,Geom2d_BoundedCurve) protected: private: Handle(Geom2d_Curve) basisCurve; Standard_Real uTrim1; Standard_Real uTrim2; }; #endif // _Geom2d_TrimmedCurve_HeaderFile