-- Created on: 1991-05-14 -- Created by: Laurent PAINNOT -- Copyright (c) 1991-1999 Matra Datavision -- Copyright (c) 1999-2012 OPEN CASCADE SAS -- -- The content of this file is subject to the Open CASCADE Technology Public -- License Version 6.5 (the "License"). You may not use the content of this file -- except in compliance with the License. Please obtain a copy of the License -- at http://www.opencascade.org and read it completely before using this file. -- -- The Initial Developer of the Original Code is Open CASCADE S.A.S., having its -- main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France. -- -- The Original Code and all software distributed under the License is -- distributed on an "AS IS" basis, without warranty of any kind, and the -- Initial Developer hereby disclaims all such warranties, including without -- limitation, any warranties of merchantability, fitness for a particular -- purpose or non-infringement. Please see the License for the specific terms -- and conditions governing the rights and limitations under the License. class Jacobi from math ---Purpose: -- This class implements the Jacobi method to find the eigenvalues and -- the eigenvectors of a real symmetric square matrix. -- A sort of eigenvalues is done. uses Vector from math, Matrix from math, OStream from Standard raises NotDone from StdFail is Create(A: Matrix) ---Purpose: -- Given a Real n X n matrix A, this constructor computes all its -- eigenvalues and eigenvectors using the Jacobi method. -- The exception NotSquare is raised if the matrix is not square. -- No verification that the matrix A is really symmetric is done. returns Jacobi; IsDone(me) ---Purpose: Returns true if the computations are successful, otherwise returns false. ---C++: inline returns Boolean is static; Values(me) ---Purpose: Returns the eigenvalues vector. -- Exception NotDone is raised if calculation is not done successfully. ---C++: inline ---C++: return const& returns Vector raises NotDone is static; Value(me; Num: Integer) ---Purpose: returns the eigenvalue number Num. -- Eigenvalues are in the range (1..n). -- Exception NotDone is raised if calculation is not done successfully. ---C++: inline returns Real raises NotDone is static; Vectors(me) ---Purpose: returns the eigenvectors matrix. -- Exception NotDone is raised if calculation is not done successfully. ---C++: inline ---C++: return const& returns Matrix raises NotDone is static; Vector(me; Num: Integer; V : out Vector) ---Purpose: Returns the eigenvector V of number Num. -- Eigenvectors are in the range (1..n). -- Exception NotDone is raised if calculation is not done successfully. ---C++: inline raises NotDone is static; Dump(me; o: in out OStream) ---Purpose: Prints information on the current state of the object. -- Is used to redefine the operator <<. is static; fields Done: Boolean; AA: Matrix; NbRotations: Integer; EigenValues: Vector; EigenVectors: Matrix; end Jacobi;