C DH24 10
C ..................................................................DH24 20
C DH24 30
C SUBROUTINE DQH24 DH24 40
C DH24 50
C PURPOSE DH24 60
C TO COMPUTE INTEGRAL(EXP(-X*X)*FCT(X), SUMMED OVER X FROM DH24 70
C -INFINITY TO +INFINITY). DH24 80
C DH24 90
C USAGE DH24 100
C CALL DQH24 (FCT,Y) DH24 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT DH24 120
C DH24 130
C DESCRIPTION OF PARAMETERS DH24 140
C FCT - THE NAME OF AN EXTERNAL DOUBLE PRECISION FUNCTION DH24 150
C SUBPROGRAM USED. DH24 160
C Y - THE RESULTING DOUBLE PRECISION INTEGRAL VALUE. DH24 170
C DH24 180
C REMARKS DH24 190
C NONE DH24 200
C DH24 210
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED DH24 220
C THE EXTERNAL DOUBLE PRECISION FUNCTION SUBPROGRAM FCT(X) DH24 230
C MUST BE FURNISHED BY THE USER. DH24 240
C DH24 250
C METHOD DH24 260
C EVALUATION IS DONE BY MEANS OF 24-POINT GAUSSIAN-HERMITE DH24 270
C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY WHENEVER DH24 280
C FCT(X) IS A POLYNOMIAL UP TO DEGREE 47. DH24 290
C FOR REFERENCE, SEE DH24 300
C SHAO/CHEN/FRANK, TABLES OF ZEROS AND GAUSSIAN WEIGHTS OF DH24 310
C CERTAIN ASSOCIATED LAGUERRE POLYNOMIALS AND THE RELATED DH24 320
C GENERALIZED HERMITE POLYNOMIALS, IBM TECHNICAL REPORT DH24 330
C TR00.1100 (MARCH 1964), PP.213-214. DH24 340
C DH24 350
C ..................................................................DH24 360
C DH24 370
SUBROUTINE DQH24(FCT,Y) DH24 380
C DH24 390
C DH24 400
DOUBLE PRECISION X,Y,Z,FCT DH24 410
C DH24 420
X=.60159255614257397D1 DH24 430
Z=-X DH24 440
Y=.16643684964891089D-15*(FCT(X)+FCT(Z)) DH24 450
X=.52593829276680444D1 DH24 460
Z=-X DH24 470
Y=Y+.65846202430781701D-12*(FCT(X)+FCT(Z)) DH24 480
X=.46256627564237873D1 DH24 490
Z=-X DH24 500
Y=Y+.30462542699875639D-9*(FCT(X)+FCT(Z)) DH24 510
X=.40536644024481495D1 DH24 520
Z=-X DH24 530
Y=Y+.40189711749414297D-7*(FCT(X)+FCT(Z)) DH24 540
X=.35200068130345247D1 DH24 550
Z=-X DH24 560
Y=Y+.21582457049023336D-5*(FCT(X)+FCT(Z)) DH24 570
X=.30125461375655648D1 DH24 580
Z=-X DH24 590
Y=Y+.56886916364043798D-4*(FCT(X)+FCT(Z)) DH24 600
X=.25238810170114270D1 DH24 610
Z=-X DH24 620
Y=Y+.8236924826884175D-3*(FCT(X)+FCT(Z)) DH24 630
X=.20490035736616989D1 DH24 640
Z=-X DH24 650
Y=Y+.70483558100726710D-2*(FCT(X)+FCT(Z)) DH24 660
X=.15842500109616941D1 DH24 670
Z=-X DH24 680
Y=Y+.37445470503230746D-1*(FCT(X)+FCT(Z)) DH24 690
X=.11267608176112451D1 DH24 700
Z=-X DH24 710
Y=Y+.12773962178455916D0*(FCT(X)+FCT(Z)) DH24 720
X=.67417110703721224D0 DH24 730
Z=-X DH24 740
Y=Y+.28617953534644302D0*(FCT(X)+FCT(Z)) DH24 750
X=.22441454747251559D0 DH24 760
Z=-X DH24 770
Y=Y+.42693116386869925D0*(FCT(X)+FCT(Z)) DH24 780
RETURN DH24 790
END DH24 800