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QL2.FOR
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1985-11-29
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44 lines
C
C ..................................................................
C
C SUBROUTINE QL2
C
C PURPOSE
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X FROM 0
C TO INFINITY).
C
C USAGE
C CALL QL2 (FCT,Y)
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT
C
C DESCRIPTION OF PARAMETERS
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED.
C Y - THE RESULTING INTEGRAL VALUE.
C
C REMARKS
C NONE
C
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED
C BY THE USER.
C
C METHOD
C EVALUATION IS DONE BY MEANS OF 2-POINT GAUSSIAN-LAGUERRE
C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY WHENEVER
C FCT(X) IS A POLYNOMIAL UP TO DEGREE 3.
C FOR REFERENCE, SEE
C V.I.KRYLOV, APPROXIMATE CALCULATION OF INTEGRALS,
C MACMILLAN, NEW YORK/LONDON, 1962, PP.130-132 AND 347-352.
C
C ..................................................................
C
SUBROUTINE QL2(FCT,Y)
C
C
X=3.414214
Y=.1464466*FCT(X)
X=.5857864
Y=Y+.8535534*FCT(X)
RETURN
END