fn, a C code 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: https://www.netlib.org/fn/index.html.
The computer code and data files described and made available on this web page are distributed under the MIT license
fn is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
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a C code which
implements certain elementary functions for "C4"
or single precision complex variables
using the C++ "complex
C8LIB,
a C code which
implements certain elementary functions for "C8"
or double precision complex variables
using the C++ "complex
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R4LIB, a C code which contains many utility routines, using "R4" or "single precision real" arithmetic.
R8LIB, a C code which contains many utility routines, using "R8" or "double precision real" arithmetic.
TEST_VALUES, a C code which supplies test values of various mathematical functions.