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decuslib20-02
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decus/20-0026/qa6.ssp
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C QA6 10
C ..................................................................QA6 20
C QA6 30
C SUBROUTINE QA6 QA6 40
C QA6 50
C PURPOSE QA6 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X)/SQRT(X), SUMMED OVER X QA6 70
C FROM 0 TO INFINITY). QA6 80
C QA6 90
C USAGE QA6 100
C CALL QA6 (FCT,Y) QA6 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT QA6 120
C QA6 130
C DESCRIPTION OF PARAMETERS QA6 140
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED. QA6 150
C Y - THE RESULTING INTEGRAL VALUE. QA6 160
C QA6 170
C REMARKS QA6 180
C NONE QA6 190
C QA6 200
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED QA6 210
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED QA6 220
C BY THE USER. QA6 230
C QA6 240
C METHOD QA6 250
C EVALUATION IS DONE BY MEANS OF 6-POINT GENERALIZED GAUSSIAN-QA6 260
C LAGUERRE QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, QA6 270
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 11. QA6 280
C FOR REFERENCE, SEE QA6 290
C CONCUS/CASSATT/JAEHNIG/MELBY, TABLES FOR THE EVALUATION OF QA6 300
C INTEGRAL(X**BETA*EXP(-X)*F(X), SUMMED OVER X FROM 0 TO QA6 310
C INFINITY) BY GAUSS-LAGUERRE QUADRATURE, MTAC, VOL.17, QA6 320
C ISS.83 (1963), PP.245-256. QA6 330
C QA6 340
C ..................................................................QA6 350
C QA6 360
SUBROUTINE QA6(FCT,Y) QA6 370
C QA6 380
C QA6 390
X=15.12996 QA6 400
Y=.5317103E-6*FCT(X) QA6 410
X=9.124248 QA6 420
Y=Y+.0001714737*FCT(X) QA6 430
X=5.196153 QA6 440
Y=Y+.007810781*FCT(X) QA6 450
X=2.552590 QA6 460
Y=Y+.1032160*FCT(X) QA6 470
X=.8983028 QA6 480
Y=Y+.5209846*FCT(X) QA6 490
X=.09874701 QA6 500
Y=Y+1.140270*FCT(X) QA6 510
RETURN QA6 520
END QA6 530