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decuslib20-02
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decus/20-0026/qa5.ssp
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C QA5 10
C ..................................................................QA5 20
C QA5 30
C SUBROUTINE QA5 QA5 40
C QA5 50
C PURPOSE QA5 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X)/SQRT(X), SUMMED OVER X QA5 70
C FROM 0 TO INFINITY). QA5 80
C QA5 90
C USAGE QA5 100
C CALL QA5 (FCT,Y) QA5 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT QA5 120
C QA5 130
C DESCRIPTION OF PARAMETERS QA5 140
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED. QA5 150
C Y - THE RESULTING INTEGRAL VALUE. QA5 160
C QA5 170
C REMARKS QA5 180
C NONE QA5 190
C QA5 200
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED QA5 210
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED QA5 220
C BY THE USER. QA5 230
C QA5 240
C METHOD QA5 250
C EVALUATION IS DONE BY MEANS OF 5-POINT GENERALIZED GAUSSIAN-QA5 260
C LAGUERRE QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, QA5 270
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 9. QA5 280
C FOR REFERENCE, SEE QA5 290
C CONCUS/CASSATT/JAEHNIG/MELBY, TABLES FOR THE EVALUATION OF QA5 300
C INTEGRAL(X**BETA*EXP(-X)*F(X), SUMMED OVER X FROM 0 TO QA5 310
C INFINITY) BY GAUSS-LAGUERRE QUADRATURE, MTAC, VOL.17, QA5 320
C ISS.83 (1963), PP.245-256. QA5 330
C QA5 340
C ..................................................................QA5 350
C QA5 360
SUBROUTINE QA5(FCT,Y) QA5 370
C QA5 380
C QA5 390
X=11.80719 QA5 400
Y=.1528087E-4*FCT(X) QA5 410
X=6.414730 QA5 420
Y=Y+.002687291*FCT(X) QA5 430
X=3.085937 QA5 440
Y=Y+.06774879*FCT(X) QA5 450
X=1.074562 QA5 460
Y=Y+.4802772*FCT(X) QA5 470
X=.1175813 QA5 480
Y=Y+1.221725*FCT(X) QA5 490
RETURN QA5 500
END QA5 510