Ten Subroutines for the Manipulation of Chebyshev Series

TOMS446 is a FORTRAN77 library which implements ACM TOMS algorithm 446, for the manipulation of Chebyshev series, by Roger Broucke.

The text of many ACM TOMS algorithms is available online through ACM: or NETLIB:


TOMS446 is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BERNSTEIN_POLYNOMIAL, a FORTRAN77 library which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

CHEBYSHEV_SERIES, a FORTRAN77 library which can evaluate a Chebyshev series approximating a function f(x), while efficiently computing one, two or three derivatives of the series, which approximate f'(x), f''(x), and f'''(x), by Manfred Zimmer.

DIVDIF, a FORTRAN77 library which computes interpolants by divided differences.


Original FORTRAN77 version by Roger Broucke; This FORTRAN77 version by John Burkardt.


  1. Roger Broucke,
    Algorithm 446: Ten Subroutines for the Manipulation of Chebyshev Series,
    Communications of the ACM,
    October 1973, Volume 16, Number 4, pages 254-256.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN77 source codes.

Last revised on 07 December 2005.