SUBROUTINE CSPS PURPOSE COMPUTES THE VALUE OF AN N-TERM EXPANSION IN SHIFTED CHEBYSHEV POLYNOMIALS WITH COEFFICIENT VECTOR C FOR ARGUMENT VALUE X. USAGE CALL CSPS(Y,X,C,N) DESCRIPTION OF PARAMETERS Y - RESULT VALUE X - ARGUMENT VALUE C - COEFFICIENT VECTOR OF GIVEN EXPANSION COEFFICIENTS ARE ORDERED FROM LOW TO HIGH N - DIMENSION OF COEFFICIENT VECTOR C REMARKS OPERATION IS BYPASSED IN CASE N LESS THAN 1 SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED NONE METHOD DEFINITION Y=SUM(C(I)*TS(I-1,X), SUMMED OVER I FROM 1 TO N). EVALUATION IS DONE BY MEANS OF BACKWARD RECURSION USING THE RECURRENCE EQUATION FOR SHIFTED CHEBYSHEV POLYNOMIALS TS(N+1,X)=(4*X-2)*TS(N,X)-TS(N-1,X).