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117 lines
3.5 KiB
Plaintext
Executable File
117 lines
3.5 KiB
Plaintext
Executable File
-- Created on: 1991-05-13
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-- Created by: Laurent PAINNOT
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-- Copyright (c) 1991-1999 Matra Datavision
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-- Copyright (c) 1999-2012 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 FunctionRoots from math
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---Purpose:
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-- This class implements an algorithm which finds all the real roots of
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-- a function with derivative within a given range.
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-- Knowledge of the derivative is required.
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uses FunctionWithDerivative from math,
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SequenceOfReal from TColStd,
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SequenceOfInteger from TColStd,
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OStream from Standard
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raises RangeError from Standard,
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NotDone from StdFail
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is
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Create(F: in out FunctionWithDerivative; A, B: Real;
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NbSample: Integer; EpsX, EpsF, EpsNull, K : Real= 0.0)
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---Purpose: Calculates all the real roots of a function F-K within the range
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-- A..B. whithout conditions on A and B
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-- A solution X is found when
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-- abs(Xi - Xi-1) <= Epsx and abs(F(Xi)-K) <= EpsF.
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-- The function is considered as null between A and B if
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-- abs(F-K) <= EpsNull within this range.
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returns FunctionRoots;
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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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IsAllNull(me)
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---Purpose:
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-- returns true if the function is considered as null between A and B.
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-- Exceptions
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-- StdFail_NotDone if the algorithm fails (and IsDone returns false).
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---C++: inline
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returns Boolean
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raises NotDone
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is static;
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NbSolutions(me)
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---Purpose: Returns the number of solutions found.
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-- Exceptions
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-- StdFail_NotDone if the algorithm fails (and IsDone returns false).
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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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Value(me; Nieme: in Integer)
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---Purpose: Returns the Nth value of the root of function F.
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-- Exceptions
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-- StdFail_NotDone if the algorithm fails (and IsDone returns false).
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---C++: inline
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returns Real
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raises NotDone, RangeError
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is static;
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StateNumber(me; Nieme: in Integer)
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---Purpose:
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-- returns the StateNumber of the Nieme root.
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-- Exception RangeError is raised if Nieme is < 1
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-- or Nieme > NbSolutions.
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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 on the stream o information on the current state
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-- of the object.
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is static;
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fields
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Done: Boolean;
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AllNull: Boolean;
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Sol: SequenceOfReal from TColStd;
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NbStateSol: SequenceOfInteger from TColStd;
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end FunctionRoots;
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