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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.
111 lines
3.2 KiB
C++
111 lines
3.2 KiB
C++
// Created on: 1991-08-22
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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_Crout_HeaderFile
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#define _math_Crout_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 Crout algorithm used to solve a
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//! system A*X = B where A is a symmetric matrix. It can be used to
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//! invert a symmetric matrix.
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//! This algorithm is similar to Gauss but is faster than Gauss.
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//! Only the inferior triangle of A and the diagonal can be given.
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class math_Crout
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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, this algorithm inverts A by the
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//! Crout algorithm. The user can give only the inferior
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//! triangle for the implementation.
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//! A can be decomposed like this:
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//! A = L * D * T(L) where L is triangular inferior and D is
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//! diagonal.
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//! If one element of A is less than MinPivot, 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_Crout(const math_Matrix& A, const Standard_Real MinPivot = 1.0e-20);
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//! Returns True if all has been correctly done.
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Standard_Boolean IsDone() const;
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//! Given an input vector <B>, this routine returns the
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//! solution of the set of linear equations A . X = B.
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//! Exception NotDone is raised if the decomposition was not
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//! done successfully.
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//! Exception DimensionError is raised if the range of B is
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//! not equal to the rowrange of A.
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Standard_EXPORT void Solve (const math_Vector& B, math_Vector& X) const;
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//! returns the inverse matrix of A. Only the inferior
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//! triangle is returned.
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//! Exception NotDone is raised if NotDone.
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const math_Matrix& Inverse() const;
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//! returns in Inv the inverse matrix of A. Only the inferior
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//! triangle is returned.
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//! Exception NotDone is raised if NotDone.
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void Invert (math_Matrix& Inv) const;
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//! Returns the value of the determinant of the previously LU
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//! decomposed matrix A. Zero is returned if the matrix A is considered as singular.
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//! Exceptions
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//! StdFail_NotDone if the algorithm fails (and IsDone returns false).
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Standard_Real Determinant() 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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Standard_EXPORT void Dump (Standard_OStream& o) const;
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protected:
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private:
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math_Matrix InvA;
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Standard_Boolean Done;
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Standard_Real Det;
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};
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#include <math_Crout.lxx>
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#endif // _math_Crout_HeaderFile
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