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145 lines
5.6 KiB
Plaintext
145 lines
5.6 KiB
Plaintext
-- Created on: 2005-12-08
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-- Created by: Sergey KHROMOV
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-- Copyright (c) 2005-2014 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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class KronrodSingleIntegration from math
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---Purpose: This class implements the Gauss-Kronrod method of
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-- integral computation.
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uses
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Function from math,
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Vector from math,
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Real from Standard,
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Integer from Standard,
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Boolean from Standard
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raises
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NotDone from StdFail
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is
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Create
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---Purpose: An empty constructor.
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returns KronrodSingleIntegration;
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Create(theFunction : in out Function from math;
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theLower : Real from Standard;
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theUpper : Real from Standard;
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theNbPnts : Integer from Standard)
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---Purpose: Constructor. Takes the function, the lower and upper bound
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-- values, the initial number of Kronrod points
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returns KronrodSingleIntegration;
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Create(theFunction : in out Function from math;
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theLower : Real from Standard;
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theUpper : Real from Standard;
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theNbPnts : Integer from Standard;
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theTolerance: Real from Standard;
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theMaxNbIter: Integer from Standard)
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---Purpose: Constructor. Takes the function, the lower and upper bound
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-- values, the initial number of Kronrod points, the
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-- tolerance value and the maximal number of iterations as
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-- parameters.
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returns KronrodSingleIntegration;
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Perform(me: in out; theFunction : in out Function from math;
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theLower : Real from Standard;
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theUpper : Real from Standard;
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theNbPnts : Integer from Standard);
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---Purpose: Computation of the integral. Takes the function,
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-- the lower and upper bound values, the initial number
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-- of Kronrod points, the relative tolerance value and the
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-- maximal number of iterations as parameters.
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-- theNbPnts should be odd and greater then or equal to 3.
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Perform(me: in out; theFunction : in out Function from math;
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theLower : Real from Standard;
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theUpper : Real from Standard;
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theNbPnts : Integer from Standard;
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theTolerance: Real from Standard;
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theMaxNbIter: Integer from Standard);
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---Purpose: Computation of the integral. Takes the function,
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-- the lower and upper bound values, the initial number
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-- of Kronrod points, the relative tolerance value and the
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-- maximal number of iterations as parameters.
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-- theNbPnts should be odd and greater then or equal to 3.
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-- Note that theTolerance is relative, i.e. the criterion of
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-- solution reaching is:
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-- Abs(Kronrod - Gauss)/Abs(Kronrod) < theTolerance.
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-- theTolerance should be positive.
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IsDone(me)
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---Purpose: Returns Standard_True if computation is performed
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-- successfully.
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---C++: inline
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returns Boolean from Standard;
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Value(me)
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---Purpose: Returns the value of the integral.
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---C++: inline
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returns Real from Standard
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raises NotDone;
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ErrorReached(me)
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---Purpose: Returns the value of the relative error reached.
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---C++: inline
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returns Real from Standard
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raises NotDone;
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AbsolutError(me)
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---Purpose: Returns the value of the relative error reached.
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---C++: inline
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returns Real from Standard
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raises NotDone;
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OrderReached(me)
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---Purpose: Returns the number of Kronrod points
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-- for which the result is computed.
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---C++: inline
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returns Integer from Standard
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raises NotDone;
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NbIterReached(me)
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---Purpose: Returns the number of iterations
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-- that were made to compute result.
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---C++: inline
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returns Integer from Standard
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raises NotDone;
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GKRule(myclass;
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theFunction : in out Function from math;
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theLower : Real from Standard;
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theUpper : Real from Standard;
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theGaussP : Vector from math;
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theGaussW : Vector from math;
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theKronrodP : Vector from math;
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theKronrodW : Vector from math;
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theValue : in out Real from Standard;
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theError : in out Real from Standard)
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returns Boolean from Standard;
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fields
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myIsDone : Boolean from Standard;
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myValue : Real from Standard;
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myErrorReached : Real from Standard;
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myAbsolutError : Real from Standard;
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myNbPntsReached: Integer from Standard;
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myNbIterReached: Integer from Standard;
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end KronrodSingleIntegration;
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