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-- File: math_KronrodSingleIntegration.cdl
-- Created: Thu Dec 8 14:44:35 2005
-- Author: Sergey KHROMOV
-- <skv@dimox>
---Copyright: Matra Datavision 2005
class KronrodSingleIntegration from math
---Purpose: This class implements the Gauss-Kronrod method of
-- integral computation.
uses
Function from math,
Vector from math,
Real from Standard,
Integer from Standard,
Boolean from Standard
raises
NotDone from StdFail
is
Create
---Purpose: An empty constructor.
returns KronrodSingleIntegration;
Create(theFunction : in out Function from math;
theLower : Real from Standard;
theUpper : Real from Standard;
theNbPnts : Integer from Standard)
---Purpose: Constructor. Takes the function, the lower and upper bound
-- values, the initial number of Kronrod points
returns KronrodSingleIntegration;
Create(theFunction : in out Function from math;
theLower : Real from Standard;
theUpper : Real from Standard;
theNbPnts : Integer from Standard;
theTolerance: Real from Standard;
theMaxNbIter: Integer from Standard)
---Purpose: Constructor. Takes the function, the lower and upper bound
-- values, the initial number of Kronrod points, the
-- tolerance value and the maximal number of iterations as
-- parameters.
returns KronrodSingleIntegration;
Perform(me: in out; theFunction : in out Function from math;
theLower : Real from Standard;
theUpper : Real from Standard;
theNbPnts : Integer from Standard);
---Purpose: Computation of the integral. Takes the function,
-- the lower and upper bound values, the initial number
-- of Kronrod points, the relative tolerance value and the
-- maximal number of iterations as parameters.
-- theNbPnts should be odd and greater then or equal to 3.
Perform(me: in out; theFunction : in out Function from math;
theLower : Real from Standard;
theUpper : Real from Standard;
theNbPnts : Integer from Standard;
theTolerance: Real from Standard;
theMaxNbIter: Integer from Standard);
---Purpose: Computation of the integral. Takes the function,
-- the lower and upper bound values, the initial number
-- of Kronrod points, the relative tolerance value and the
-- maximal number of iterations as parameters.
-- theNbPnts should be odd and greater then or equal to 3.
-- Note that theTolerance is relative, i.e. the criterion of
-- solution reaching is:
-- Abs(Kronrod - Gauss)/Abs(Kronrod) < theTolerance.
-- theTolerance should be positive.
IsDone(me)
---Purpose: Returns Standard_True if computation is performed
-- successfully.
---C++: inline
returns Boolean from Standard;
Value(me)
---Purpose: Returns the value of the integral.
---C++: inline
returns Real from Standard
raises NotDone;
ErrorReached(me)
---Purpose: Returns the value of the relative error reached.
---C++: inline
returns Real from Standard
raises NotDone;
AbsolutError(me)
---Purpose: Returns the value of the relative error reached.
---C++: inline
returns Real from Standard
raises NotDone;
OrderReached(me)
---Purpose: Returns the number of Kronrod points
-- for which the result is computed.
---C++: inline
returns Integer from Standard
raises NotDone;
NbIterReached(me)
---Purpose: Returns the number of iterations
-- that were made to compute result.
---C++: inline
returns Integer from Standard
raises NotDone;
GKRule(myclass;
theFunction : in out Function from math;
theLower : Real from Standard;
theUpper : Real from Standard;
theGaussP : Vector from math;
theGaussW : Vector from math;
theKronrodP : Vector from math;
theKronrodW : Vector from math;
theValue : in out Real from Standard;
theError : in out Real from Standard)
returns Boolean from Standard;
fields
myIsDone : Boolean from Standard;
myValue : Real from Standard;
myErrorReached : Real from Standard;
myAbsolutError : Real from Standard;
myNbPntsReached: Integer from Standard;
myNbIterReached: Integer from Standard;
end KronrodSingleIntegration;
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