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decus_20tap2_198111
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decus/20-0026/dql16.ssp
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C DL16 10
C ..................................................................DL16 20
C DL16 30
C SUBROUTINE DQL16 DL16 40
C DL16 50
C PURPOSE DL16 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X DL16 70
C FROM 0 TO INFINITY). DL16 80
C DL16 90
C USAGE DL16 100
C CALL DQL16 (FCT,Y) DL16 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT DL16 120
C DL16 130
C DESCRIPTION OF PARAMETERS DL16 140
C FCT - THE NAME OF AN EXTERNAL DOUBLE PRECISION FUNCTION DL16 150
C SUBPROGRAM USED. DL16 160
C Y - THE RESULTING DOUBLE PRECISION INTEGRAL VALUE. DL16 170
C DL16 180
C REMARKS DL16 190
C NONE DL16 200
C DL16 210
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED DL16 220
C THE EXTERNAL DOUBLE PRECISION FUNCTION SUBPROGRAM FCT(X) DL16 230
C MUST BE FURNISHED BY THE USER. DL16 240
C DL16 250
C METHOD DL16 260
C EVALUATION IS DONE BY MEANS OF 16-POINT GAUSSIAN-LAGUERRE DL16 270
C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, DL16 280
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 31. DL16 290
C FOR REFERENCE, SEE DL16 300
C SHAO/CHEN/FRANK, TABLES OF ZEROS AND GAUSSIAN WEIGHTS OF DL16 310
C CERTAIN ASSOCIATED LAGUERRE POLYNOMIALS AND THE RELATED DL16 320
C GENERALIZED HERMITE POLYNOMIALS, IBM TECHNICAL REPORT DL16 330
C TR00.1100 (MARCH 1964), PP.24-25. DL16 340
C DL16 350
C ..................................................................DL16 360
C DL16 370
SUBROUTINE DQL16(FCT,Y) DL16 380
C DL16 390
C DL16 400
DOUBLE PRECISION X,Y,FCT DL16 410
C DL16 420
X=.51701160339543318D2 DL16 430
Y=.41614623703728552D-21*FCT(X) DL16 440
X=.41940452647688333D2 DL16 450
Y=Y+.50504737000355128D-17*FCT(X) DL16 460
X=.34583398702286626D2 DL16 470
Y=Y+.62979670025178678D-14*FCT(X) DL16 480
X=.28578729742882140D2 DL16 490
Y=Y+.21270790332241030D-11*FCT(X) DL16 500
X=.23515905693991909D2 DL16 510
Y=Y+.28623502429738816D-9*FCT(X) DL16 520
X=.19180156856753135D2 DL16 530
Y=Y+.18810248410796732D-7*FCT(X) DL16 540
X=.15441527368781617D2 DL16 550
Y=Y+.68283193308711996D-6*FCT(X) DL16 560
X=.12214223368866159D2 DL16 570
Y=Y+.14844586873981299D-4*FCT(X) DL16 580
X=.9438314336391939D1 DL16 590
Y=Y+.20427191530827846D-3*FCT(X) DL16 600
X=.70703385350482341D1 DL16 610
Y=Y+.18490709435263109D-2*FCT(X) DL16 620
X=.50780186145497679D1 DL16 630
Y=Y+.11299900080339453D-1*FCT(X) DL16 640
X=.34370866338932066D1 DL16 650
Y=Y+.47328928694125219D-1*FCT(X) DL16 660
X=.21292836450983806D1 DL16 670
Y=Y+.13629693429637754D0*FCT(X) DL16 680
X=.11410577748312269D1 DL16 690
Y=Y+.26579577764421415D0*FCT(X) DL16 700
X=.46269632891508083D0 DL16 710
Y=Y+.33105785495088417D0*FCT(X) DL16 720
X=.8764941047892784D-1 DL16 730
Y=Y+.20615171495780099D0*FCT(X) DL16 740
RETURN DL16 750
END DL16 760