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97 lines
3.3 KiB
C++
97 lines
3.3 KiB
C++
// Created on: 1991-03-14
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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_BissecNewton_HeaderFile
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#define _math_BissecNewton_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_Status.hxx>
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#include <Standard_Real.hxx>
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#include <Standard_OStream.hxx>
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class math_FunctionWithDerivative;
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//! This class implements a combination of Newton-Raphson and bissection
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//! methods to find the root of the function between two bounds.
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//! Knowledge of the derivative is required.
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class math_BissecNewton
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Constructor.
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//! @param theXTolerance - algorithm tolerance.
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Standard_EXPORT math_BissecNewton(const Standard_Real theXTolerance);
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//! A combination of Newton-Raphson and bissection methods is done to find
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//! the root of the function F between the bounds Bound1 and Bound2
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//! on the function F.
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//! The tolerance required on the root is given by TolX.
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//! The solution is found when:
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//! abs(Xi - Xi-1) <= TolX and F(Xi) * F(Xi-1) <= 0
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//! The maximum number of iterations allowed is given by NbIterations.
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Standard_EXPORT void Perform(math_FunctionWithDerivative& F,
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const Standard_Real Bound1,
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const Standard_Real Bound2,
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const Standard_Integer NbIterations = 100);
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//! This method is called at the end of each iteration to check if the
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//! solution has been found.
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//! It can be redefined in a sub-class to implement a specific test to
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//! stop the iterations.
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virtual Standard_Boolean IsSolutionReached(math_FunctionWithDerivative& theFunction);
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//! Tests is the root has been successfully found.
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Standard_Boolean IsDone() const;
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//! returns the value of the root.
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//! Exception NotDone is raised if the minimum was not found.
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Standard_Real Root() const;
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//! returns the value of the derivative at the root.
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//! Exception NotDone is raised if the minimum was not found.
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Standard_Real Derivative() const;
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//! returns the value of the function at the root.
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//! Exception NotDone is raised if the minimum was not found.
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Standard_Real Value() 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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//! Destructor
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Standard_EXPORT virtual ~math_BissecNewton();
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protected:
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math_Status TheStatus;
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Standard_Real XTol;
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Standard_Real x;
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Standard_Real dx;
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Standard_Real f;
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Standard_Real df;
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private:
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Standard_Boolean Done;
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};
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#include <math_BissecNewton.lxx>
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#endif // _math_BissecNewton_HeaderFile
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