-- Created on: 1993-09-13 -- Created by: Jacques GOUSSARD -- 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. deferred class Function from Blend inherits AppFunction from Blend ---Purpose: Deferred class for a function used to compute a blending -- surface between two surfaces, using a guide line. -- The vector used in Value, Values and Derivatives methods -- has to be the vector of the parametric coordinates U1,V1, -- U2,V2, of the extremities of a section on the first and -- second surface. uses Vector from math, Matrix from math, Vec from gp, Vec2d from gp, Pnt from gp, Point from Blend, Array1OfPnt from TColgp, Array1OfVec from TColgp, Array1OfPnt2d from TColgp, Array1OfVec2d from TColgp, Array1OfReal from TColStd, Array1OfInteger from TColStd raises DomainError from Standard is NbVariables(me) ---Purpose: Returns 4. returns Integer from Standard ; NbEquations(me) ---Purpose: returns the number of equations of the function. returns Integer from Standard is deferred; Value(me: in out; X: Vector; F: out Vector) ---Purpose: computes the values of the Functions for the -- variable . -- Returns True if the computation was done successfully, -- False otherwise. returns Boolean from Standard is deferred; Derivatives(me: in out; X: Vector; D: out Matrix) ---Purpose: returns the values of the derivatives for the -- variable . -- Returns True if the computation was done successfully, -- False otherwise. returns Boolean from Standard is deferred; Values(me: in out; X: Vector; F: out Vector; D: out Matrix) ---Purpose: returns the values of the functions and the derivatives -- for the variable . -- Returns True if the computation was done successfully, -- False otherwise. returns Boolean from Standard is deferred; Set(me: in out; Param: Real from Standard) ---Purpose: Sets the value of the parameter along the guide line. -- This determines the plane in which the solution has -- to be found. is deferred; Set(me: in out; First, Last: Real from Standard) ---Purpose: Sets the bounds of the parametric interval on -- the guide line. -- This determines the derivatives in these values if the -- function is not Cn. is deferred; GetTolerance(me; Tolerance: out Vector from math; Tol: Real from Standard) ---Purpose: Returns in the vector Tolerance the parametric tolerance -- for each of the 4 variables; -- Tol is the tolerance used in 3d space. is deferred; GetBounds(me; InfBound,SupBound: out Vector from math) ---Purpose: Returns in the vector InfBound the lowest values allowed -- for each of the 4 variables. -- Returns in the vector SupBound the greatest values allowed -- for each of the 4 variables. is deferred; IsSolution(me: in out; Sol: Vector from math; Tol: Real from Standard) ---Purpose: Returns Standard_True if Sol is a zero of the function. -- Tol is the tolerance used in 3d space. -- The computation is made at the current value of -- the parameter on the guide line. returns Boolean from Standard is deferred; --- TheFollowing methods are called only when -- IsSolution returns Standard_True. Pnt1(me) ---Purpose: Returns the point on the first support. ---See Also: PointOnS1 ---C++: return const & returns Pnt from gp is redefined static; Pnt2(me) ---Purpose: Returns the point on the seconde support. ---See Also: PointOnS2 ---C++: return const & returns Pnt from gp is redefined static; PointOnS1(me) ---Purpose: Returns the point on the first surface, at parameter -- Sol(1),Sol(2) (Sol is the vector used in the call of -- IsSolution. returns Pnt from gp ---C++: return const& is deferred; PointOnS2(me) ---Purpose: Returns the point on the second surface, at parameter -- Sol(3),Sol(4) (Sol is the vector used in the call of -- IsSolution. returns Pnt from gp ---C++: return const& is deferred; IsTangencyPoint(me) ---Purpose: Returns True when it is not possible to compute -- the tangent vectors at PointOnS1 and/or PointOnS2. returns Boolean from Standard is deferred; TangentOnS1(me) ---Purpose: Returns the tangent vector at PointOnS1, in 3d space. returns Vec from gp ---C++: return const& raises DomainError from Standard --- The exception is raised when IsTangencyPoint -- returns Standard_True. is deferred; Tangent2dOnS1(me) ---Purpose: Returns the tangent vector at PointOnS1, in the -- parametric space of the first surface. returns Vec2d from gp ---C++: return const& raises DomainError from Standard --- The exception is raised when IsTangencyPoint -- returns Standard_True. is deferred; TangentOnS2(me) ---Purpose: Returns the tangent vector at PointOnS2, in 3d space. returns Vec from gp ---C++: return const& raises DomainError from Standard --- The exception is raised when IsTangencyPoint -- returns Standard_True. is deferred; Tangent2dOnS2(me) ---Purpose: Returns the tangent vector at PointOnS2, in the -- parametric space of the second surface. returns Vec2d from gp ---C++: return const& raises DomainError from Standard --- The exception is raised when IsTangencyPoint -- returns Standard_True. is deferred; Tangent(me; U1,V1,U2,V2: Real from Standard; TgFirst,TgLast,NormFirst,NormLast: out Vec from gp) ---Purpose: Returns the tangent vector at the section, -- at the beginning and the end of the section, and -- returns the normal (of the surfaces) at -- these points. raises DomainError from Standard --- The exception is raised when IsTangencyPoint -- returns Standard_True. is deferred; TwistOnS1(me) returns Boolean from Standard is virtual; TwistOnS2(me) returns Boolean from Standard is virtual; -- Methods for the approximation -- GetShape(me: in out; NbPoles : out Integer from Standard; NbKnots : out Integer from Standard; Degree : out Integer from Standard; NbPoles2d : out Integer from Standard) is deferred; GetTolerance(me; BoundTol, SurfTol, AngleTol : Real; Tol3d : out Vector; Tol1D : out Vector ) ---Purpose: Returns the tolerance to reach in approximation -- to respecte -- BoundTol error at the Boundary -- AngleTol tangent error at the Boundary -- SurfTol error inside the surface. is deferred; Knots(me: in out; TKnots: out Array1OfReal from TColStd) is deferred; Mults(me: in out; TMults: out Array1OfInteger from TColStd) is deferred; Section(me: in out; P: Point from Blend; Poles : out Array1OfPnt from TColgp; DPoles : out Array1OfVec from TColgp; Poles2d : out Array1OfPnt2d from TColgp; DPoles2d : out Array1OfVec2d from TColgp; Weigths : out Array1OfReal from TColStd; DWeigths : out Array1OfReal from TColStd) ---Purpose: Used for the first and last section -- The method returns Standard_True if the derivatives -- are computed, otherwise it returns Standard_False. returns Boolean from Standard is deferred; Section(me: in out; P: Point from Blend; Poles : out Array1OfPnt from TColgp; Poles2d : out Array1OfPnt2d from TColgp; Weigths : out Array1OfReal from TColStd) is deferred; Section(me: in out; P: Point from Blend; Poles : out Array1OfPnt from TColgp; DPoles : out Array1OfVec from TColgp; D2Poles : out Array1OfVec from TColgp; Poles2d : out Array1OfPnt2d from TColgp; DPoles2d : out Array1OfVec2d from TColgp; D2Poles2d : out Array1OfVec2d from TColgp; Weigths : out Array1OfReal from TColStd; DWeigths : out Array1OfReal from TColStd; D2Weigths : out Array1OfReal from TColStd) ---Purpose: Used for the first and last section -- The method returns Standard_True if the derivatives -- are computed, otherwise it returns Standard_False returns Boolean from Standard is redefined; end Function;