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QA8.FOR
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1985-11-29
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58 lines
C
C ..................................................................
C
C SUBROUTINE QA8
C
C PURPOSE
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X)/SQRT(X), SUMMED OVER X
C FROM 0 TO INFINITY).
C
C USAGE
C CALL QA8 (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 8-POINT GENERALIZED GAUSSIAN-
C LAGUERRE QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY,
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 15.
C FOR REFERENCE, SEE
C CONCUS/CASSATT/JAEHNIG/MELBY, TABLES FOR THE EVALUATION OF
C INTEGRAL(X**BETA*EXP(-X)*F(X), SUMMED OVER X FROM 0 TO
C INFINITY) BY GAUSS-LAGUERRE QUADRATURE, MTAC, VOL.17,
C ISS.83 (1963), PP.245-256.
C
C ..................................................................
C
SUBROUTINE QA8(FCT,Y)
C
C
X=21.98427
Y=.5309615E-9*FCT(X)
X=14.97262
Y=Y+.4641962E-6*FCT(X)
X=10.09332
Y=Y+.5423720E-4*FCT(X)
X=6.483145
Y=Y+.001864568*FCT(X)
X=3.809476
Y=Y+.02576062*FCT(X)
X=1.905114
Y=Y+.1676201*FCT(X)
X=.6772491
Y=Y+.5612949*FCT(X)
X=.07479188
Y=Y+1.015859*FCT(X)
RETURN
END