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License statement text corrected; compiler warnings caused by Bison 2.41 disabled for MSVC; a few other compiler warnings on 54-bit Windows eliminated by appropriate type cast Wrong license statements corrected in several files. Copyright and license statements added in XSD and GLSL files. Copyright year updated in some files. Obsolete documentation files removed from DrawResources.
140 lines
3.9 KiB
Plaintext
140 lines
3.9 KiB
Plaintext
-- 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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class NewtonFunctionRoot from math
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---Purpose:
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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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uses Vector from math, Matrix from math,
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FunctionWithDerivative from math,
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OStream from Standard
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raises NotDone from StdFail
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is
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Create(F: in out FunctionWithDerivative;
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Guess, EpsX, EpsF: Real;
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NbIterations: Integer = 100)
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---Purpose:
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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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returns NewtonFunctionRoot;
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Create(F: in out FunctionWithDerivative;
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Guess, EpsX, EpsF, A, B: Real;
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NbIterations: Integer = 100)
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---Purpose:
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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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returns NewtonFunctionRoot;
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Create(A, B, EpsX, EpsF: Real;
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NbIterations: Integer = 100)
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---Purpose: is used in a sub-class to initialize correctly all the fields
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-- of this class.
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returns NewtonFunctionRoot;
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Perform(me: in out; F: in out FunctionWithDerivative;
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Guess: Real)
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---Purpose: is used internally by the constructors.
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is static;
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IsDone(me)
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---Purpose: Returns true if the computations are successful, otherwise returns false.
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---C++: inline
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returns Boolean
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is static;
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Root(me)
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---Purpose: 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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---C++: inline
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returns Real
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raises NotDone
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is static;
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Derivative(me)
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---Purpose: 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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---C++: inline
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returns Real
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raises NotDone
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is static;
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Value(me)
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---Purpose: 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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---C++: inline
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returns Real
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raises NotDone
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is static;
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NbIterations(me)
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---Purpose: 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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---C++: inline
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returns Integer
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raises NotDone
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is static;
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Dump(me; o:in out OStream)
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---Purpose: Prints information on the current state of the object.
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is static;
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fields
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Done: Boolean;
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X : Real;
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Fx : Real;
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DFx : Real;
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It : Integer;
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EpsilonX: Real;
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EpsilonF: Real;
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Itermax: Integer;
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Binf: Real;
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Bsup: Real;
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end NewtonFunctionRoot;
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