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decuslib20-02
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decus/20-0026/qh6.ssp
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C QH6 10
C ..................................................................QH6 20
C QH6 30
C SUBROUTINE QH6 QH6 40
C QH6 50
C PURPOSE QH6 60
C TO COMPUTE INTEGRAL(EXP(-X*X)*FCT(X), SUMMED OVER X FROM QH6 70
C -INFINITY TO +INFINITY). QH6 80
C QH6 90
C USAGE QH6 100
C CALL QH6 (FCT,Y) QH6 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT QH6 120
C QH6 130
C DESCRIPTION OF PARAMETERS QH6 140
C FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED. QH6 150
C Y - THE RESULTING INTEGRAL VALUE. QH6 160
C QH6 170
C REMARKS QH6 180
C NONE QH6 190
C QH6 200
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED QH6 210
C THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED QH6 220
C BY THE USER. QH6 230
C QH6 240
C METHOD QH6 250
C EVALUATION IS DONE BY MEANS OF 6-POINT GAUSSIAN-HERMITE QH6 260
C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY WHENEVER QH6 270
C FCT(X) IS A POLYNOMIAL UP TO DEGREE 11. QH6 280
C FOR REFERENCE, SEE QH6 290
C V.I.KRYLOV, APPROXIMATE CALCULATION OF INTEGRALS, QH6 300
C MACMILLAN, NEW YORK/LONDON, 1962, PP.129-130 AND 343-346. QH6 310
C QH6 320
C ..................................................................QH6 330
C QH6 340
SUBROUTINE QH6(FCT,Y) QH6 350
C QH6 360
C QH6 370
X=2.350605 QH6 380
Z=-X QH6 390
Y=.004530010*(FCT(X)+FCT(Z)) QH6 400
X=1.335849 QH6 410
Z=-X QH6 420
Y=Y+.1570673*(FCT(X)+FCT(Z)) QH6 430
X=.4360774 QH6 440
Z=-X QH6 450
Y=Y+.7246296*(FCT(X)+FCT(Z)) QH6 460
RETURN QH6 470
END QH6 480