FN
The Fullerton Function Library.


FN is a C++ library which approximates elementary and special functions using Chebyshev polynomials; functions include Airy, Bessel I, Bessel J, Bessel K, Bessel Y, beta, confluent hypergeometric, cosine integral, Dawson's integral, digamma (psi), error, exponential integral, gamma, hyperbolic cosine integral, hyperbolic sine integral, incomplete gamma, log gamma, logarithmic integral, Pochhammer, psi, sine integral, Spence; by Wayne Fullerton.

The original version of the library provided routines for complex, single precision real, and double precision real arguments and used the prefixes "C" and "D" to indicate the complex and double precision versions.

This scheme has been modified for consistency, and also to avoid conflict with the names of functions commonly provided by various compilers. The prefixes "C4_", "R4_" and "R8_" are used to indicate functions for complex, single precision real, and double precision real arguments. For example, the sine function can be calculated by the functions C4_SIN, R4_SIN or R8_SIN.

The original, true, correct version of FN is available through NETLIB: http://www.netlib.org/fn/index.html.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

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

Related Data and Programs:

BESSELJ, a C++ library which evaluates Bessel J functions of noninteger order.

C4LIB, a C++ library which implements certain elementary functions for "C4" or single precision complex variables using the C++ "complex " datatype.

C8LIB, a C++ library which implements certain elementary functions for "C8" or double precision complex variables using the C++ "complex " datatype.

CHEBYSHEV_SERIES, a C++ 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).

CLAUSEN, a C++ library which evaluates a Chebyshev interpolant to the Clausen function Cl2(x).

CORDIC, a C++ library which uses the CORDIC method to compute certain elementary functions.

G++_INTRINSICS, a C++ program which tests or demonstrates some of the intrinsic functions provided by the G++ compiler.

LEGENDRE_POLYNOMIAL, a C++ library which evaluates the Legendre polynomial and associated functions.

MACHAR, a C++ library which computes the appropriate values of machine constants for a given machine.

MACHINE, a C++ library which stores the appropriate values of machine constants for a given machine.

R4LIB, a C++ library which contains many utility routines, using "R4" or "single precision real" arithmetic.

R8LIB, a C++ library which contains many utility routines, using "R8" or "double precision real" arithmetic.

TEST_VALUES, a C++ library which supplies test values of various mathematical functions.

Reference:

  1. Wayne Fullerton,
    Portable Special Function Routines,
    in Portability of Numerical Software,
    edited by Wayne Cowell,
    Lecture Notes in Computer Science, Volume 57, pages 452-483,
    Springer 1977,
    ISBN: 978-3-540-08446-4,
    LC: QA297.W65.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the C++ source codes.


Last revised on 16 September 2011.