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b9280b8b27
Removed unused exception classes OSD_Exception_FLT_DIVIDE_BY_ZERO, OSD_Exception_INT_DIVIDE_BY_ZERO, OSD_Exception_FLT_DENORMAL_OPERAND, OSD_Exception_FLT_INEXACT_RESULT, OSD_Exception_FLT_INVALID_OPERATION, OSD_Exception_FLT_OVERFLOW, OSD_Exception_FLT_STACK_CHECK, OSD_Exception_FLT_UNDERFLOW.
128 lines
4.3 KiB
C++
128 lines
4.3 KiB
C++
// Created on: 1991-08-07
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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_Householder_HeaderFile
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#define _math_Householder_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 <math_Matrix.hxx>
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#include <math_Vector.hxx>
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#include <Standard_OStream.hxx>
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//! This class implements the least square solution of a set of
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//! linear equations of m unknowns (n >= m) using the Householder
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//! method. It solves A.X = B.
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//! This algorithm has more numerical stability than
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//! GaussLeastSquare but is longer.
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//! It must be used if the matrix is singular or nearly singular.
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//! It is about 16% longer than GaussLeastSquare if there is only
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//! one member B to solve.
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//! It is about 30% longer if there are twenty B members to solve.
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class math_Householder
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Given an input matrix A with n>= m, given an input matrix B
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//! this constructor performs the least square resolution of
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//! the set of linear equations A.X = B for each column of B.
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//! If a column norm is less than EPS, the resolution can't
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//! be done.
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//! Exception DimensionError is raised if the row number of B
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//! is different from the A row number.
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Standard_EXPORT math_Householder(const math_Matrix& A, const math_Matrix& B, const Standard_Real EPS = 1.0e-20);
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//! Given an input matrix A with n>= m, given an input matrix B
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//! this constructor performs the least square resolution of
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//! the set of linear equations A.X = B for each column of B.
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//! If a column norm is less than EPS, the resolution can't
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//! be done.
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//! Exception DimensionError is raised if the row number of B
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//! is different from the A row number.
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Standard_EXPORT math_Householder(const math_Matrix& A, const math_Matrix& B, const Standard_Integer lowerArow, const Standard_Integer upperArow, const Standard_Integer lowerAcol, const Standard_Integer upperAcol, const Standard_Real EPS = 1.0e-20);
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//! Given an input matrix A with n>= m, given an input vector B
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//! this constructor performs the least square resolution of
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//! the set of linear equations A.X = B.
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//! If a column norm is less than EPS, the resolution can't
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//! be done.
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//! Exception DimensionError is raised if the length of B
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//! is different from the A row number.
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Standard_EXPORT math_Householder(const math_Matrix& A, const math_Vector& B, const Standard_Real EPS = 1.0e-20);
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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 integer Index, this routine returns the
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//! corresponding least square solution sol.
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//! Exception NotDone is raised if the resolution has not be
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//! done.
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//! Exception OutOfRange is raised if Index <=0 or
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//! Index is more than the number of columns of B.
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void Value (math_Vector& sol, const Standard_Integer Index = 1) const;
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//! Returns the matrix sol of all the solutions of the system
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//! A.X = B.
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//! Exception NotDone is raised is the resolution has not be
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//! done.
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const math_Matrix& AllValues() const;
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//! Prints information on the current state of the object.
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Standard_EXPORT void Dump (Standard_OStream& o) const;
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protected:
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//! This method is used internally for each constructor
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//! above and can't be used directly.
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Standard_EXPORT void Perform (const math_Matrix& A, const math_Matrix& B, const Standard_Real EPS);
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private:
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math_Matrix Sol;
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math_Matrix Q;
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Standard_Boolean Done;
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Standard_Integer mylowerArow;
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Standard_Integer myupperArow;
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Standard_Integer mylowerAcol;
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Standard_Integer myupperAcol;
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};
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#include <math_Householder.lxx>
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#endif // _math_Householder_HeaderFile
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