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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
127 lines
4.1 KiB
C++
127 lines
4.1 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_NewtonFunctionRoot_HeaderFile
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#define _math_NewtonFunctionRoot_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 <Standard_Real.hxx>
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#include <Standard_Integer.hxx>
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#include <Standard_OStream.hxx>
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class StdFail_NotDone;
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class math_FunctionWithDerivative;
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//! This class implements the calculation of a root of a function of
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//! a single variable starting from an initial near guess using the
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//! Newton algorithm. Knowledge of the derivative is required.
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class math_NewtonFunctionRoot
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! The Newton method is done to find the root of the function F
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//! from the initial guess Guess.
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//! The tolerance required on the root is given by Tolerance.
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//! The solution is found when :
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//! abs(Xi - Xi-1) <= EpsX and abs(F(Xi))<= EpsF
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//! The maximum number of iterations allowed is given by NbIterations.
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Standard_EXPORT math_NewtonFunctionRoot(math_FunctionWithDerivative& F, const Standard_Real Guess, const Standard_Real EpsX, const Standard_Real EpsF, const Standard_Integer NbIterations = 100);
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//! The Newton method is done to find the root of the function F
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//! from the initial guess Guess.
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//! The solution must be inside the interval [A, B].
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//! The tolerance required on the root is given by Tolerance.
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//! The solution is found when :
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//! abs(Xi - Xi-1) <= EpsX and abs(F(Xi))<= EpsF
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//! The maximum number of iterations allowed is given by NbIterations.
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Standard_EXPORT math_NewtonFunctionRoot(math_FunctionWithDerivative& F, const Standard_Real Guess, const Standard_Real EpsX, const Standard_Real EpsF, const Standard_Real A, const Standard_Real B, const Standard_Integer NbIterations = 100);
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//! is used in a sub-class to initialize correctly all the fields
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//! of this class.
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Standard_EXPORT math_NewtonFunctionRoot(const Standard_Real A, const Standard_Real B, const Standard_Real EpsX, const Standard_Real EpsF, const Standard_Integer NbIterations = 100);
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//! is used internally by the constructors.
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Standard_EXPORT void Perform (math_FunctionWithDerivative& F, const Standard_Real Guess);
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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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//! Returns the value of the root of function <F>.
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//! Exception NotDone is raised if the root 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 root 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 root was not found.
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Standard_Real Value() const;
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//! Returns the number of iterations really done on the
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//! computation of the Root.
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//! Exception NotDone is raised if the root was not found.
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Standard_Integer NbIterations() const;
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//! Prints information on the current state 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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Standard_Boolean Done;
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Standard_Real X;
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Standard_Real Fx;
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Standard_Real DFx;
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Standard_Integer It;
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Standard_Real EpsilonX;
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Standard_Real EpsilonF;
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Standard_Integer Itermax;
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Standard_Real Binf;
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Standard_Real Bsup;
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};
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#include <math_NewtonFunctionRoot.lxx>
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#endif // _math_NewtonFunctionRoot_HeaderFile
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