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127 lines
3.8 KiB
Plaintext
Executable File
127 lines
3.8 KiB
Plaintext
Executable File
-- Created on: 2014-03-15
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-- Created by: Laurent PAINNOT
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-- Copyright (c) 1997-1999 Matra Datavision
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-- Copyright (c) 1999-2012 OPEN CASCADE SAS
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--
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-- The content of this file is subject to the Open CASCADE Technology Public
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-- License Version 6.5 (the "License"). You may not use the content of this file
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-- except in compliance with the License. Please obtain a copy of the License
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-- at http://www.opencascade.org and read it completely before using this file.
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--
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-- The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
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-- main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
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--
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-- The Original Code and all software distributed under the License is
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-- distributed on an "AS IS" basis, without warranty of any kind, and the
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-- Initial Developer hereby disclaims all such warranties, including without
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-- limitation, any warranties of merchantability, fitness for a particular
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-- purpose or non-infringement. Please see the License for the specific terms
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-- and conditions governing the rights and limitations under the License.
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class BissecNewton from math
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---Purpose:
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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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uses Vector from math,
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Matrix from math,
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FunctionWithDerivative from math,
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Status 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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Perform(me: in out; F: out FunctionWithDerivative;
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Bound1, Bound2: Real;
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NbIterations: Integer)
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is static protected;
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Create(F: in out FunctionWithDerivative;
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Bound1, Bound2, TolX: Real;
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NbIterations: Integer = 100)
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---Purpose:
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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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returns BissecNewton;
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IsSolutionReached(me: in out; F: out FunctionWithDerivative)
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---Purpose:
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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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returns Boolean
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is virtual;
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IsDone(me)
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---Purpose: Tests is the root has been successfully found.
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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.
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-- Exception NotDone is raised if the minimum 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 minimum 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 minimum 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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Dump(me; o: in out OStream)
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---Purpose: Prints on the stream o information on the current state
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-- of the object.
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-- Is used to redifine the operator <<.
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is static;
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fields
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Done: Boolean;
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TheStatus: Status is protected;
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XTol: Real is protected;
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x: Real is protected;
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dx: Real is protected;
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f: Real is protected;
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df: Real is protected;
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end BissecNewton;
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