C C .................................................................. C C SUBROUTINE LAPS C C PURPOSE C COMPUTES THE VALUE OF AN N-TERM EXPANSION IN LAGUERRE C POLYNOMIALS WITH COEFFICIENT VECTOR C FOR ARGUMENT VALUE X. C C USAGE C CALL LAPS(Y,X,C,N) C C DESCRIPTION OF PARAMETERS C Y - RESULT VALUE C X - ARGUMENT VALUE C C - COEFFICIENT VECTOR OF GIVEN EXPANSION C COEFFICIENTS ARE ORDERED FROM LOW TO HIGH C N - DIMENSION OF COEFFICIENT VECTOR C C C REMARKS C OPERATION IS BYPASSED IN CASE N LESS THAN 1 C C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED C NONE C C METHOD C DEFINITION C Y=SUM(C(I)*L(I-1,X), SUMMED OVER I FROM 1 TO N). C EVALUATION IS DONE BY MEANS OF UPWARD RECURSION C USING THE RECURRENCE EQUATION FOR LAGUERRE POLYNOMIALS C L(N+1,X)=2*L(N,X)-L(N-1,X)-((1+X)*L(N,X)-L(N-1,X))/(N+1). C C .................................................................. C SUBROUTINE LAPS(Y,X,C,N) C DIMENSION C(1) C C TEST OF DIMENSION IF(N)1,1,2 1 RETURN C 2 Y=C(1) IF(N-2)1,3,3 C C INITIALIZATION 3 H0=1. H1=1.-X T=1.+X C DO 4 I=2,N H2=H1-H0+H1-(T*H1-H0)/FLOAT(I) H0=H1 H1=H2 4 Y=Y+C(I)*H0 RETURN END