C QH8 10
C ..................................................................QH8 20
C QH8 30
C SUBROUTINE QH8 QH8 40
C QH8 50
C PURPOSE QH8 60
C TO COMPUTE INTEGRAL(EXP(-X*X)*FCT(X), SUMMED OVER X FROM QH8 70
C -INFINITY TO +INFINITY). QH8 80
C QH8 90
C USAGE QH8 100
C CALL QH8 (FCT,Y) QH8 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT QH8 120
C QH8 130
C DESCRIPTION OF PARAMETERS QH8 140
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED. QH8 150
C Y - THE RESULTING INTEGRAL VALUE. QH8 160
C QH8 170
C REMARKS QH8 180
C NONE QH8 190
C QH8 200
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED QH8 210
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED QH8 220
C BY THE USER. QH8 230
C QH8 240
C METHOD QH8 250
C EVALUATION IS DONE BY MEANS OF 8-POINT GAUSSIAN-HERMITE QH8 260
C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY WHENEVER QH8 270
C FCT(X) IS A POLYNOMIAL UP TO DEGREE 15. QH8 280
C FOR REFERENCE, SEE QH8 290
C V.I.KRYLOV, APPROXIMATE CALCULATION OF INTEGRALS, QH8 300
C MACMILLAN, NEW YORK/LONDON, 1962, PP.129-130 AND 343-346. QH8 310
C QH8 320
C ..................................................................QH8 330
C QH8 340
SUBROUTINE QH8(FCT,Y) QH8 350
C QH8 360
C QH8 370
X=2.930637 QH8 380
Z=-X QH8 390
Y=.0001996041*(FCT(X)+FCT(Z)) QH8 400
X=1.981657 QH8 410
Z=-X QH8 420
Y=Y+.01707798*(FCT(X)+FCT(Z)) QH8 430
X=1.157194 QH8 440
Z=-X QH8 450
Y=Y+.2078023*(FCT(X)+FCT(Z)) QH8 460
X=.3811870 QH8 470
Z=-X QH8 480
Y=Y+.6611470*(FCT(X)+FCT(Z)) QH8 490
RETURN QH8 500
END QH8 510