1 // Created on: 1991-12-02
2 // Created by: Laurent PAINNOT
3 // Copyright (c) 1991-1999 Matra Datavision
4 // Copyright (c) 1999-2014 OPEN CASCADE SAS
5 //
6 // This file is part of Open CASCADE Technology software library.
7 //
8 // This library is free software; you can redistribute it and/or modify it under
9 // the terms of the GNU Lesser General Public License version 2.1 as published
10 // by the Free Software Foundation, with special exception defined in the file
11 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
12 // distribution for complete text of the license and disclaimer of any warranty.
13 //
14 // Alternatively, this file may be used under the terms of Open CASCADE
15 // commercial license or contractual agreement.
16 
17 #ifndef _AppDef_ResConstraintOfMyGradientbisOfBSplineCompute_HeaderFile
18 #define _AppDef_ResConstraintOfMyGradientbisOfBSplineCompute_HeaderFile
19 
20 #include <Standard.hxx>
21 #include <Standard_DefineAlloc.hxx>
22 #include <Standard_Handle.hxx>
23 
24 #include <Standard_Boolean.hxx>
25 #include <Standard_Real.hxx>
26 #include <math_Matrix.hxx>
27 #include <math_Vector.hxx>
28 #include <Standard_Integer.hxx>
29 #include <TColStd_Array1OfInteger.hxx>
30 #include <AppParCurves_HArray1OfConstraintCouple.hxx>
31 class Standard_OutOfRange;
32 class AppDef_MultiLine;
33 class AppDef_MyLineTool;
34 class AppParCurves_MultiCurve;
35 class math_Matrix;
36 
37 
38 
39 class AppDef_ResConstraintOfMyGradientbisOfBSplineCompute
40 {
41 public:
42 
43   DEFINE_STANDARD_ALLOC
44 
45 
46   //! Given a MultiLine SSP with constraints points, this
47   //! algorithm finds the best curve solution to approximate it.
48   //! The poles from SCurv issued for example from the least
49   //! squares are used as a guess solution for the uzawa
50   //! algorithm. The tolerance used in the Uzawa algorithms
51   //! is Tolerance.
52   //! A is the Bernstein matrix associated to the MultiLine
53   //! and DA is the derivative bernstein matrix.(They can come
54   //! from an approximation with ParLeastSquare.)
55   //! The MultiCurve is modified. New MultiPoles are given.
56   Standard_EXPORT AppDef_ResConstraintOfMyGradientbisOfBSplineCompute(const AppDef_MultiLine& SSP, AppParCurves_MultiCurve& SCurv, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle(AppParCurves_HArray1OfConstraintCouple)& Constraints, const math_Matrix& Bern, const math_Matrix& DerivativeBern, const Standard_Real Tolerance = 1.0e-10);
57 
58   //! returns True if all has been correctly done.
59   Standard_EXPORT Standard_Boolean IsDone() const;
60 
61   //! returns the maximum difference value between the curve
62   //! and the given points.
63   Standard_EXPORT Standard_Real Error() const;
64 
65   Standard_EXPORT const math_Matrix& ConstraintMatrix() const;
66 
67   //! returns the duale variables of the system.
68   Standard_EXPORT const math_Vector& Duale() const;
69 
70   //! Returns the derivative of the constraint matrix.
71   Standard_EXPORT const math_Matrix& ConstraintDerivative (const AppDef_MultiLine& SSP, const math_Vector& Parameters, const Standard_Integer Deg, const math_Matrix& DA);
72 
73   //! returns the Inverse of Cont*Transposed(Cont), where
74   //! Cont is the constraint matrix for the algorithm.
75   Standard_EXPORT const math_Matrix& InverseMatrix() const;
76 
77 
78 
79 
80 protected:
81 
82 
83   //! is used internally to create the fields.
84   Standard_EXPORT Standard_Integer NbConstraints (const AppDef_MultiLine& SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle(AppParCurves_HArray1OfConstraintCouple)& TheConstraints) const;
85 
86   //! is internally used for the fields creation.
87   Standard_EXPORT Standard_Integer NbColumns (const AppDef_MultiLine& SSP, const Standard_Integer Deg) const;
88 
89 
90 
91 
92 private:
93 
94 
95 
96   Standard_Boolean Done;
97   Standard_Real Err;
98   math_Matrix Cont;
99   math_Matrix DeCont;
100   math_Vector Secont;
101   math_Matrix CTCinv;
102   math_Vector Vardua;
103   Standard_Integer IncPass;
104   Standard_Integer IncTan;
105   Standard_Integer IncCurv;
106   TColStd_Array1OfInteger IPas;
107   TColStd_Array1OfInteger ITan;
108   TColStd_Array1OfInteger ICurv;
109 
110 
111 };
112 
113 
114 
115 
116 
117 
118 
119 #endif // _AppDef_ResConstraintOfMyGradientbisOfBSplineCompute_HeaderFile
120