C C .................................................................. C C SUBROUTINE DCNP C C PURPOSE C COMPUTE THE VALUES OF THE CHEBYSHEV POLYNOMIALS T(N,X) C FOR ARGUMENT VALUE X AND ORDERS 0 UP TO N. C C USAGE C CALL DCNP,Y,X,N) C C DESCRIPTION OF PARAMETERS C Y - RESULT VECTOR OF DIMENSION N+1 CONTAINING THE VALUES C OF CHEBYSHEV POLYNOMIALS OF ORDER 0 UP TO N C FOR GIVEN ARGUMENT X. C DOUBLE PRECISION VECTOR. C VALUES ARE ORDERED FROM LOW TO HIGH ORDER C Y - RESULT VALUE C DOUBLE PRECISION VARIABLE. C X - ARGUMENT OF CHEBYSHEV POLYNOMIAL C N - ORDER OF CHEBYSHEV POLYNOMIAL C C REMARKS C N LESS THAN 0 IS TREATED AS IF N WERE 0 C C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED C NONE C C METHOD C EVALUATION IS BASED ON THE RECURRENCE EQUATION FOR C CHEBYSHEV POLYNOMIALS T(N,X) C T(N+1,X)=2*X*T(N,X)-T(N-1,X), C WHERE THE FIRST TERM IN BRACKETS IS THE ORDER, C THE SECOND IS THE ARGUMENT. C STARTING VALUES ARE T(0,X)=1, T(1,X)=X. C C .................................................................. C SUBROUTINE DCNP(Y,X,N) C DIMENSION Y(1) DOUBLE PRECISION Y,X,F C Y(1)=1.D0 IF(N)1,1,2 1 RETURN C 2 Y(2)=X IF(N-1)1,1,3 C C INITIALIZATION 3 F=X+X C DO 4 I=2,N 4 Y(I+1)=F*Y(I)-Y(I-1) RETURN END