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- 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