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1 | // Created on: 1991-05-13 |
| 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_SVD_HeaderFile |
| 18 | #define _math_SVD_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 <math_Vector.hxx> |
| 27 | #include <Standard_Integer.hxx> |
| 28 | #include <Standard_Real.hxx> |
| 29 | #include <Standard_OStream.hxx> |
| 30 | class StdFail_NotDone; |
| 31 | class Standard_DimensionError; |
| 32 | class math_Matrix; |
| 33 | |
| 34 | |
| 35 | //! SVD implements the solution of a set of N linear equations |
| 36 | //! of M unknowns without condition on N or M. The Singular |
| 37 | //! Value Decomposition algorithm is used. For singular or |
| 38 | //! nearly singular matrices SVD is a better choice than Gauss |
| 39 | //! or GaussLeastSquare. |
| 40 | class math_SVD |
| 41 | { |
| 42 | public: |
| 43 | |
| 44 | DEFINE_STANDARD_ALLOC |
| 45 | |
| 46 | |
| 47 | |
| 48 | //! Given as input an n X m matrix A with n < m, n = m or n > m |
| 49 | //! this constructor performs the Singular Value Decomposition. |
| 50 | Standard_EXPORT math_SVD(const math_Matrix& A); |
| 51 | |
| 52 | //! Returns true if the computations are successful, otherwise returns false. |
| 53 | Standard_Boolean IsDone() const; |
| 54 | |
| 55 | |
| 56 | //! Given the input Vector B this routine solves the set of linear |
| 57 | //! equations A . X = B. |
| 58 | //! Exception NotDone is raised if the decomposition of A was not done |
| 59 | //! successfully. |
| 60 | //! Exception DimensionError is raised if the range of B is not |
| 61 | //! equal to the rowrange of A. |
| 62 | //! Exception DimensionError is raised if the range of X is not |
| 63 | //! equal to the colrange of A. |
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64 | Standard_EXPORT void Solve (const math_Vector& B, math_Vector& X, const Standard_Real Eps = 1.0e-6); |
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65 | |
| 66 | //! Computes the inverse Inv of matrix A such as A * Inverse = Identity. |
| 67 | //! Exceptions |
| 68 | //! StdFail_NotDone if the algorithm fails (and IsDone returns false). |
| 69 | //! Standard_DimensionError if the ranges of Inv are |
| 70 | //! compatible with the ranges of A. |
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71 | Standard_EXPORT void PseudoInverse (math_Matrix& Inv, const Standard_Real Eps = 1.0e-6); |
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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 U; |
| 92 | math_Matrix V; |
| 93 | math_Vector Diag; |
| 94 | Standard_Integer RowA; |
| 95 | |
| 96 | |
| 97 | }; |
| 98 | |
| 99 | |
| 100 | #include <math_SVD.lxx> |
| 101 | |
| 102 | |
| 103 | |
| 104 | |
| 105 | |
| 106 | #endif // _math_SVD_HeaderFile |
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