File DQL32.FT (FORTRAN source file)

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C
C     ..................................................................
C
C        SUBROUTINE DQL32
C
C        PURPOSE
C           TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X
C                               FROM 0 TO INFINITY).
C
C        USAGE
C           CALL DQL32 (FCT,Y)
C           PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT
C
C        DESCRIPTION OF PARAMETERS
C           FCT    - THE NAME OF AN EXTERNAL DOUBLE PRECISION FUNCTION
C                    SUBPROGRAM USED.
C           Y      - THE RESULTING DOUBLE PRECISION INTEGRAL VALUE.
C
C        REMARKS
C           NONE
C
C        SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
C           THE EXTERNAL DOUBLE PRECISION FUNCTION SUBPROGRAM FCT(X)
C           MUST BE FURNISHED BY THE USER.
C
C        METHOD
C           EVALUATION IS DONE BY MEANS OF 32-POINT GAUSSIAN-LAGUERRE
C           QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY,
C           WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 63.
C           FOR REFERENCE, SEE
C           SHAO/CHEN/FRANK, TABLES OF ZEROS AND GAUSSIAN WEIGHTS OF
C           CERTAIN ASSOCIATED LAGUERRE POLYNOMIALS AND THE RELATED
C           GENERALIZED HERMITE POLYNOMIALS, IBM TECHNICAL REPORT
C           TR00.1100 (MARCH 1964), PP.24-25.
C
C     ..................................................................
C
      SUBROUTINE DQL32(FCT,Y)
C
C
      DOUBLE PRECISION X,Y,FCT
C
      X=.11175139809793770D3
      Y=.45105361938989742D-27*FCT(X)
      X=.9882954286828397D2
      Y=Y+.13386169421062563D-21*FCT(X)
      X=.8873534041789240D2
      Y=Y+.26715112192401370D-17*FCT(X)
      X=.8018744697791352D2
      Y=Y+.11922487600982224D-13*FCT(X)
      X=.7268762809066271D2
      Y=Y+.19133754944542243D-10*FCT(X)
      X=.65975377287935053D2
      Y=Y+.14185605454630369D-7*FCT(X)
      X=.59892509162134018D2
      Y=Y+.56612941303973594D-5*FCT(X)
      X=.54333721333396907D2
      Y=Y+.13469825866373952D-2*FCT(X)
      X=.49224394987308639D2
      Y=Y+.20544296737880454D0*FCT(X)
      X=.44509207995754938D2
      Y=Y+.21197922901636186D2*FCT(X)
      X=.40145719771539442D2
      Y=Y+.15421338333938234D4*FCT(X)
      X=.36100494805751974D2
      Y=Y+.8171823443420719D5*FCT(X)
      X=.32346629153964737D2
      Y=Y+.32378016577292665D7*FCT(X)
      X=.28862101816323475D2
      Y=Y+.9799379288727094D8*FCT(X)
      X=.25628636022459248D2
      Y=Y+.23058994918913361D10*FCT(X)
      X=.22630889013196774D2
      Y=Y+.42813829710409289D11*FCT(X)
      X=.19855860940336055D2
      Y=Y+.63506022266258067D12*FCT(X)
      X=.17292454336715315D2
      Y=Y+.7604567879120781D13*FCT(X)
      X=.14931139755522557D2
      Y=Y+.7416404578667552D14*FCT(X)
      X=.12763697986742725D2
      Y=Y+.59345416128686329D15*FCT(X)
      X=.10783018632539972D2
      Y=Y+.39203419679879472D16*FCT(X)
      X=.8982940924212596D1
      Y=Y+.21486491880136419D17*FCT(X)
      X=.7358126733186241D1
      Y=Y+.9808033066149551D17*FCT(X)
      X=.59039585041742439D1
      Y=Y+.37388162946115248D18*FCT(X)
      X=.46164567697497674D1
      Y=Y+.11918214834838557D19*FCT(X)
      X=.34922132730219945D1
      Y=Y+.31760912509175070D19*FCT(X)
      X=.25283367064257949D1
      Y=Y+.70578623865717442D19*FCT(X)
      X=.17224087764446454D1
      Y=Y+.12998378628607176D20*FCT(X)
      X=.10724487538178176D1
      Y=Y+.19590333597288104D20*FCT(X)
      X=.57688462930188643D0
      Y=Y+.23521322966984801D20*FCT(X)
      X=.23452610951961854D0
      Y=Y+.21044310793881323D20*FCT(X)
      X=.44489365833267018D-1
      Y=Y+.10921834195238497D20*FCT(X)
	Y=Y*1.D-20
      RETURN
      END



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