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PDP-10 Archives
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decus_20tap2_198111
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decus/20-0026/dqa4.ssp
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C DQA4 10
C ..................................................................DQA4 20
C DQA4 30
C SUBROUTINE DQA4 DQA4 40
C DQA4 50
C PURPOSE DQA4 60
C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X)/SQRT(X), SUMMED OVER X DQA4 70
C FROM 0 TO INFINITY). DQA4 80
C DQA4 90
C USAGE DQA4 100
C CALL DQA4 (FCT,Y) DQA4 110
C PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT DQA4 120
C DQA4 130
C DESCRIPTION OF PARAMETERS DQA4 140
C FCT - THE NAME OF AN EXTERNAL DOUBLE PRECISION FUNCTION DQA4 150
C SUBPROGRAM USED. DQA4 160
C Y - THE RESULTING DOUBLE PRECISION INTEGRAL VALUE. DQA4 170
C DQA4 180
C REMARKS DQA4 190
C NONE DQA4 200
C DQA4 210
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED DQA4 220
C THE EXTERNAL DOUBLE PRECISION FUNCTION SUBPROGRAM FCT(X) DQA4 230
C MUST BE FURNISHED BY THE USER. DQA4 240
C DQA4 250
C METHOD DQA4 260
C EVALUATION IS DONE BY MEANS OF 4-POINT GENERALIZED GAUSS- DQA4 270
C LAGUERRE QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY DQA4 280
C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 7. DQA4 290
C FOR REFERENCE, SEE DQA4 300
C SHAO/CHEN/FRANK, TABLES OF ZEROS AND GAUSSIAN WEIGHTS OF DQA4 310
C CERTAIN ASSOCIATED LAGUERRE POLYNOMIALS AND THE RELATED DQA4 320
C GENERALIZED HERMITE POLYNOMIALS, IBM TECHNICAL REPORT DQA4 330
C TR00.1100 (MARCH 1964), PP.15-16. DQA4 340
C DQA4 350
C ..................................................................DQA4 360
C DQA4 370
SUBROUTINE DQA4(FCT,Y) DQA4 380
C DQA4 390
C DQA4 400
DOUBLE PRECISION X,Y,FCT DQA4 410
C DQA4 420
X=.8588635689012034D1 DQA4 430
Y=.39920814442273524D-3*FCT(X) DQA4 440
X=.39269635013582872D1 DQA4 450
Y=Y+.34155966014826951D-1*FCT(X) DQA4 460
X=.13390972881263614D1 DQA4 470
Y=Y+.41560465162978376D0*FCT(X) DQA4 480
X=.14530352150331709D0 DQA4 490
Y=Y+.13222940251164826D1*FCT(X) DQA4 500
RETURN DQA4 510
END DQA4 520