C C .................................................................. C C SUBROUTINE DQL16 C C PURPOSE C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X C FROM 0 TO INFINITY). C C USAGE C CALL DQL16 (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 16-POINT GAUSSIAN-LAGUERRE C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 31. 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 DQL16(FCT,Y) C C DOUBLE PRECISION X,Y,FCT C X=.51701160339543318D2 Y=.41614623703728552D-21*FCT(X) X=.41940452647688333D2 Y=Y+.50504737000355128D-17*FCT(X) X=.34583398702286626D2 Y=Y+.62979670025178678D-14*FCT(X) X=.28578729742882140D2 Y=Y+.21270790332241030D-11*FCT(X) X=.23515905693991909D2 Y=Y+.28623502429738816D-9*FCT(X) X=.19180156856753135D2 Y=Y+.18810248410796732D-7*FCT(X) X=.15441527368781617D2 Y=Y+.68283193308711996D-6*FCT(X) X=.12214223368866159D2 Y=Y+.14844586873981299D-4*FCT(X) X=.9438314336391939D1 Y=Y+.20427191530827846D-3*FCT(X) X=.70703385350482341D1 Y=Y+.18490709435263109D-2*FCT(X) X=.50780186145497679D1 Y=Y+.11299900080339453D-1*FCT(X) X=.34370866338932066D1 Y=Y+.47328928694125219D-1*FCT(X) X=.21292836450983806D1 Y=Y+.13629693429637754D0*FCT(X) X=.11410577748312269D1 Y=Y+.26579577764421415D0*FCT(X) X=.46269632891508083D0 Y=Y+.33105785495088417D0*FCT(X) X=.8764941047892784D-1 Y=Y+.20615171495780099D0*FCT(X) RETURN END