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1 | // Created on: 1991-05-14 |
| 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 _math_Jacobi_HeaderFile |
| 18 | #define _math_Jacobi_HeaderFile |
| 19 | |
| 20 | #include <Standard.hxx> |
| 21 | #include <Standard_DefineAlloc.hxx> |
| 22 | #include <Standard_Handle.hxx> |
| 23 | |
| 24 | #include <Standard_Boolean.hxx> |
| 25 | #include <math_Matrix.hxx> |
| 26 | #include <Standard_Integer.hxx> |
| 27 | #include <math_Vector.hxx> |
| 28 | #include <Standard_Real.hxx> |
| 29 | #include <Standard_OStream.hxx> |
| 30 | class StdFail_NotDone; |
| 31 | class math_Matrix; |
| 32 | |
| 33 | |
| 34 | |
| 35 | //! This class implements the Jacobi method to find the eigenvalues and |
| 36 | //! the eigenvectors of a real symmetric square matrix. |
| 37 | //! A sort of eigenvalues is done. |
| 38 | class math_Jacobi |
| 39 | { |
| 40 | public: |
| 41 | |
| 42 | DEFINE_STANDARD_ALLOC |
| 43 | |
| 44 | |
| 45 | |
| 46 | //! Given a Real n X n matrix A, this constructor computes all its |
| 47 | //! eigenvalues and eigenvectors using the Jacobi method. |
| 48 | //! The exception NotSquare is raised if the matrix is not square. |
| 49 | //! No verification that the matrix A is really symmetric is done. |
| 50 | Standard_EXPORT math_Jacobi(const math_Matrix& A); |
| 51 | |
| 52 | //! Returns true if the computations are successful, otherwise returns false. |
| 53 | Standard_Boolean IsDone() const; |
| 54 | |
| 55 | //! Returns the eigenvalues vector. |
| 56 | //! Exception NotDone is raised if calculation is not done successfully. |
| 57 | const math_Vector& Values() const; |
| 58 | |
| 59 | //! returns the eigenvalue number Num. |
| 60 | //! Eigenvalues are in the range (1..n). |
| 61 | //! Exception NotDone is raised if calculation is not done successfully. |
| 62 | Standard_Real Value (const Standard_Integer Num) const; |
| 63 | |
| 64 | //! returns the eigenvectors matrix. |
| 65 | //! Exception NotDone is raised if calculation is not done successfully. |
| 66 | const math_Matrix& Vectors() const; |
| 67 | |
| 68 | //! Returns the eigenvector V of number Num. |
| 69 | //! Eigenvectors are in the range (1..n). |
| 70 | //! Exception NotDone is raised if calculation is not done successfully. |
| 71 | void Vector (const Standard_Integer Num, math_Vector& V) const; |
| 72 | |
| 73 | //! Prints information on the current state of the object. |
| 74 | //! Is used to redefine the operator <<. |
| 75 | Standard_EXPORT void Dump (Standard_OStream& o) const; |
| 76 | |
| 77 | |
| 78 | |
| 79 | |
| 80 | protected: |
| 81 | |
| 82 | |
| 83 | |
| 84 | |
| 85 | |
| 86 | private: |
| 87 | |
| 88 | |
| 89 | |
| 90 | Standard_Boolean Done; |
| 91 | math_Matrix AA; |
| 92 | Standard_Integer NbRotations; |
| 93 | math_Vector EigenValues; |
| 94 | math_Matrix EigenVectors; |
| 95 | |
| 96 | |
| 97 | }; |
| 98 | |
| 99 | |
| 100 | #include <math_Jacobi.lxx> |
| 101 | |
| 102 | |
| 103 | |
| 104 | |
| 105 | |
| 106 | #endif // _math_Jacobi_HeaderFile |
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