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