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decuslib20-02
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decus/20-0026/ql9.ssp
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C QL9 10
C ..................................................................QL9 20
C QL9 30
C SUBROUTINE QL9 QL9 40
C QL9 50
C PURPOSE QL9 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X FROM 0 QL9 70
C TO INFINITY). QL9 80
C QL9 90
C USAGE QL9 100
C CALL QL9 (FCT,Y) QL9 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT QL9 120
C QL9 130
C DESCRIPTION OF PARAMETERS QL9 140
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED. QL9 150
C Y - THE RESULTING INTEGRAL VALUE. QL9 160
C QL9 170
C REMARKS QL9 180
C NONE QL9 190
C QL9 200
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED QL9 210
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED QL9 220
C BY THE USER. QL9 230
C QL9 240
C METHOD QL9 250
C EVALUATION IS DONE BY MEANS OF 9-POINT GAUSSIAN-LAGUERRE QL9 260
C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY WHENEVER QL9 270
C FCT(X) IS A POLYNOMIAL UP TO DEGREE 17. QL9 280
C FOR REFERENCE, SEE QL9 290
C V.I.KRYLOV, APPROXIMATE CALCULATION OF INTEGRALS, QL9 300
C MACMILLAN, NEW YORK/LONDON, 1962, PP.130-132 AND 347-352. QL9 310
C QL9 320
C ..................................................................QL9 330
C QL9 340
SUBROUTINE QL9(FCT,Y) QL9 350
C QL9 360
C QL9 370
X=26.37407 QL9 380
Y=.3290874E-10*FCT(X) QL9 390
X=18.83360 QL9 400
Y=Y+.4110769E-7*FCT(X) QL9 410
X=13.46624 QL9 420
Y=Y+.6592123E-5*FCT(X) QL9 430
X=9.372985 QL9 440
Y=Y+.3052498E-3*FCT(X) QL9 450
X=6.204957 QL9 460
Y=Y+.005599627*FCT(X) QL9 470
X=3.783474 QL9 480
Y=Y+.04746056*FCT(X) QL9 490
X=2.005135 QL9 500
Y=Y+.1992875*FCT(X) QL9 510
X=.8072200 QL9 520
Y=Y+.4112140*FCT(X) QL9 530
X=.1523222 QL9 540
Y=Y+.3361264*FCT(X) QL9 550
RETURN QL9 560
END QL9 570