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18434846a3
math_Vector::Multiplied() - fixed modification of original array. math_SVD::Solve(), math_SVD::PseudoInverse(), GeomFill_LocationGuide::InitX() - removed incorrect constness. math_Vector, math_IntegerVector - math_SingleTab has been replaced by NCollection_LocalArray+NCollection_Array1. Added accessors returning const value.
107 lines
2.9 KiB
C++
107 lines
2.9 KiB
C++
// Created on: 1991-05-13
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// Created by: Laurent PAINNOT
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// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _math_SVD_HeaderFile
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#define _math_SVD_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <Standard_Handle.hxx>
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#include <Standard_Boolean.hxx>
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#include <math_Matrix.hxx>
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#include <math_Vector.hxx>
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#include <Standard_Integer.hxx>
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#include <Standard_Real.hxx>
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#include <Standard_OStream.hxx>
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class StdFail_NotDone;
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class Standard_DimensionError;
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class math_Matrix;
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//! SVD implements the solution of a set of N linear equations
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//! of M unknowns without condition on N or M. The Singular
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//! Value Decomposition algorithm is used. For singular or
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//! nearly singular matrices SVD is a better choice than Gauss
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//! or GaussLeastSquare.
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class math_SVD
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Given as input an n X m matrix A with n < m, n = m or n > m
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//! this constructor performs the Singular Value Decomposition.
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Standard_EXPORT math_SVD(const math_Matrix& A);
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//! Returns true if the computations are successful, otherwise returns false.
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Standard_Boolean IsDone() const;
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//! Given the input Vector B this routine solves the set of linear
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//! equations A . X = B.
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//! Exception NotDone is raised if the decomposition of A was not done
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//! successfully.
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//! Exception DimensionError is raised if the range of B is not
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//! equal to the rowrange of A.
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//! Exception DimensionError is raised if the range of X is not
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//! equal to the colrange of A.
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Standard_EXPORT void Solve (const math_Vector& B, math_Vector& X, const Standard_Real Eps = 1.0e-6);
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//! Computes the inverse Inv of matrix A such as A * Inverse = Identity.
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//! Exceptions
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//! StdFail_NotDone if the algorithm fails (and IsDone returns false).
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//! Standard_DimensionError if the ranges of Inv are
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//! compatible with the ranges of A.
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Standard_EXPORT void PseudoInverse (math_Matrix& Inv, const Standard_Real Eps = 1.0e-6);
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//! Prints information on the current state of the object.
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//! Is used to redefine the operator <<.
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Standard_EXPORT void Dump (Standard_OStream& o) const;
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protected:
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private:
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Standard_Boolean Done;
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math_Matrix U;
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math_Matrix V;
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math_Vector Diag;
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Standard_Integer RowA;
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};
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#include <math_SVD.lxx>
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#endif // _math_SVD_HeaderFile
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