C C .................................................................. C C SUBROUTINE DQL12 C C PURPOSE C TO COMPUTE INTEGRAL(EXP(-X)*FCT(X), SUMMED OVER X C FROM 0 TO INFINITY). C C USAGE C CALL DQL12 (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 12-POINT GAUSSIAN-LAGUERRE C QUADRATURE FORMULA, WHICH INTEGRATES EXACTLY, C WHENEVER FCT(X) IS A POLYNOMIAL UP TO DEGREE 23. 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 DQL12(FCT,Y) C C DOUBLE PRECISION X,Y,FCT C X=.37099121044466920D2 Y=.8148077467426242D-15*FCT(X) X=.28487967250984000D2 Y=Y+.30616016350350208D-11*FCT(X) X=.22151090379397006D2 Y=Y+.13423910305150041D-8*FCT(X) X=.17116855187462256D2 Y=Y+.16684938765409103D-6*FCT(X) X=.13006054993306348D2 Y=Y+.8365055856819799D-5*FCT(X) X=.9621316842456867D1 Y=Y+.20323159266299939D-3*FCT(X) X=.68445254531151773D1 Y=Y+.26639735418653159D-2*FCT(X) X=.45992276394183485D1 Y=Y+.20102381154634097D-1*FCT(X) X=.28337513377435072D1 Y=Y+.9044922221168093D-1*FCT(X) X=.15126102697764188D1 Y=Y+.24408201131987756D0*FCT(X) X=.61175748451513067D0 Y=Y+.37775927587313798D0*FCT(X) X=.11572211735802068D0 Y=Y+.26473137105544319D0*FCT(X) RETURN END