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decus_20tap2_198111
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decus/20-0026/qa9.ssp
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C QA9 10
C ..................................................................QA9 20
C QA9 30
C SUBROUTINE QA9 QA9 40
C QA9 50
C PURPOSE QA9 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X)/SQRT(X), SUMMED OVER X QA9 70
C FROM 0 TO INFINITY). QA9 80
C QA9 90
C USAGE QA9 100
C CALL QA9 (FCT,Y) QA9 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT QA9 120
C QA9 130
C DESCRIPTION OF PARAMETERS QA9 140
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED. QA9 150
C Y - THE RESULTING INTEGRAL VALUE. QA9 160
C QA9 170
C REMARKS QA9 180
C NONE QA9 190
C QA9 200
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED QA9 210
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED QA9 220
C BY THE USER. QA9 230
C QA9 240
C METHOD QA9 250
C EVALUATION IS DONE BY MEANS OF 9-POINT GENERALIZED GAUSSIAN-QA9 260
C LAGUERRE QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, QA9 270
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 17. QA9 280
C FOR REFERENCE, SEE QA9 290
C CONCUS/CASSATT/JAEHNIG/MELBY, TABLES FOR THE EVALUATION OF QA9 300
C INTEGRAL(X**BETA*EXP(-X)*F(X), SUMMED OVER X FROM 0 TO QA9 310
C INFINITY) BY GAUSS-LAGUERRE QUADRATURE, MTAC, VOL.17, QA9 320
C ISS.83 (1963), PP.245-256. QA9 330
C QA9 340
C ..................................................................QA9 350
C QA9 360
SUBROUTINE QA9(FCT,Y) QA9 370
C QA9 380
C QA9 390
X=25.48598 QA9 400
Y=.1565640E-10*FCT(X) QA9 410
X=18.04651 QA9 420
Y=Y+.2093441E-7*FCT(X) QA9 430
X=12.77183 QA9 440
Y=Y+.3621309E-5*FCT(X) QA9 450
X=8.769757 QA9 460
Y=Y+.0001836225*FCT(X) QA9 470
X=5.694423 QA9 480
Y=Y+.003777045*FCT(X) QA9 490
X=3.369176 QA9 500
Y=Y+.03728008*FCT(X) QA9 510
X=1.692395 QA9 520
Y=Y+.1946035*FCT(X) QA9 530
X=.6032364 QA9 540
Y=Y+.5696146*FCT(X) QA9 550
X=.06670223 QA9 560
Y=Y+.9669914*FCT(X) QA9 570
RETURN QA9 580
END QA9 590