C DA16 10
C ..................................................................DA16 20
C DA16 30
C SUBROUTINE DQA16 DA16 40
C DA16 50
C PURPOSE DA16 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X)/SQRT(X), SUMMED OVER X DA16 70
C FROM 0 TO INFINITY). DA16 80
C DA16 90
C USAGE DA16 100
C CALL DQA16 (FCT,Y) DA16 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT DA16 120
C DA16 130
C DESCRIPTION OF PARAMETERS DA16 140
C FCT - THE NAME OF AN EXTERNAL DOUBLE PRECISION FUNCTION DA16 150
C SUBPROGRAM USED. DA16 160
C Y - THE RESULTING DOUBLE PRECISION INTEGRAL VALUE. DA16 170
C DA16 180
C REMARKS DA16 190
C NONE DA16 200
C DA16 210
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED DA16 220
C THE EXTERNAL DOUBLE PRECISION FUNCTION SUBPROGRAM FCT(X) DA16 230
C MUST BE FURNISHED BY THE USER. DA16 240
C DA16 250
C METHOD DA16 260
C EVALUATION IS DONE BY MEANS OF 16-POINT GENERALIZED GAUSS- DA16 270
C LAGUERRE QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY DA16 280
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 31. DA16 290
C FOR REFERENCE, SEE DA16 300
C SHAO/CHEN/FRANK, TABLES OF ZEROS AND GAUSSIAN WEIGHTS OF DA16 310
C CERTAIN ASSOCIATED LAGUERRE POLYNOMIALS AND THE RELATED DA16 320
C GENERALIZED HERMITE POLYNOMIALS, IBM TECHNICAL REPORT DA16 330
C TR00.1100 (MARCH 1964), PP.15-16. DA16 340
C DA16 350
C ..................................................................DA16 360
C DA16 370
SUBROUTINE DQA16(FCT,Y) DA16 380
C DA16 390
C DA16 400
DOUBLE PRECISION X,Y,FCT DA16 410
C DA16 420
X=.50777223877537080D2 DA16 430
Y=.14621352854768325D-21*FCT(X) DA16 440
X=.41081666525491202D2 DA16 450
Y=Y+.18463473073036584D-17*FCT(X) DA16 460
X=.33781970488226166D2 DA16 470
Y=Y+.23946880341856973D-14*FCT(X) DA16 480
X=.27831438211328676D2 DA16 490
Y=Y+.8430020422652895D-12*FCT(X) DA16 500
X=.22821300693525208D2 DA16 510
Y=Y+.11866582926793277D-9*FCT(X) DA16 520
X=.18537743178606694D2 DA16 530
Y=Y+.8197664329541793D-8*FCT(X) DA16 540
X=.14851431341801250D2 DA16 550
Y=Y+.31483355850911881D-6*FCT(X) DA16 560
X=.11677033673975957D2 DA16 570
Y=Y+.7301170259124752D-5*FCT(X) DA16 580
X=.8955001337723390D1 DA16 590
Y=Y+.10833168123639965D-3*FCT(X) DA16 600
X=.66422151797414440D1 DA16 610
Y=Y+.10725367310559441D-2*FCT(X) DA16 620
X=.47067267076675872D1 DA16 630
Y=Y+.7309780653308856D-2*FCT(X) DA16 640
X=.31246010507021443D1 DA16 650
Y=Y+.35106857663146861D-1*FCT(X) DA16 660
X=.18779315076960743D1 DA16 670
Y=Y+.12091626191182523D0*FCT(X) DA16 680
X=.9535531553908655D0 DA16 690
Y=Y+.30253946815328497D0*FCT(X) DA16 700
X=.34220015601094768D0 DA16 710
Y=Y+.55491628460505980D0*FCT(X) DA16 720
X=.37962914575313455D-1 DA16 730
Y=Y+.7504767051856048D0*FCT(X) DA16 740
RETURN DA16 750
END DA16 760