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42cf5bc1ca
Automatic upgrade of OCCT code by command "occt_upgrade . -nocdl": - WOK-generated header files from inc and sources from drv are moved to src - CDL files removed - All packages are converted to nocdlpack
130 lines
3.8 KiB
C++
130 lines
3.8 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_Gauss_HeaderFile
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#define _math_Gauss_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_IntegerVector.hxx>
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#include <Standard_Real.hxx>
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#include <math_Vector.hxx>
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#include <Standard_OStream.hxx>
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class math_NotSquare;
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class Standard_DimensionError;
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class StdFail_NotDone;
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class math_Matrix;
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//! This class implements the Gauss LU decomposition (Crout algorithm)
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//! with partial pivoting (rows interchange) of a square matrix and
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//! the different possible derived calculation :
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//! - solution of a set of linear equations.
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//! - inverse of a matrix.
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//! - determinant of a matrix.
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class math_Gauss
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Given an input n X n matrix A this constructor performs its LU
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//! decomposition with partial pivoting (interchange of rows).
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//! This LU decomposition is stored internally and may be used to
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//! do subsequent calculation.
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//! If the largest pivot found is less than MinPivot the matrix A is
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//! considered as singular.
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//! Exception NotSquare is raised if A is not a square matrix.
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Standard_EXPORT math_Gauss(const math_Matrix& A, const Standard_Real MinPivot = 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 input Vector B this routine returns the solution X of the set
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//! of linear 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 number of rows of A.
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Standard_EXPORT void Solve (const math_Vector& B, math_Vector& X) 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. B is replaced by the vector solution X.
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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 number of rows of A.
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Standard_EXPORT void Solve (math_Vector& B) const;
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//! This routine returns the value of the determinant of the previously LU
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//! decomposed matrix A.
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//! Exception NotDone may be raised if the decomposition of A was not done
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//! successfully, zero is returned if the matrix A was considered as singular.
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Standard_EXPORT Standard_Real Determinant() const;
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//! This routine outputs Inv the inverse of the previously LU decomposed
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//! matrix A.
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//! Exception DimensionError is raised if the ranges of B are not
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//! equal to the ranges of A.
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Standard_EXPORT void Invert (math_Matrix& Inv) const;
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//! Prints on the stream o information on the current state
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//! 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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Standard_Boolean Singular;
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math_Matrix LU;
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math_IntegerVector Index;
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Standard_Real D;
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private:
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Standard_Boolean Done;
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};
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#include <math_Gauss.lxx>
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#endif // _math_Gauss_HeaderFile
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