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Algorithms for Rigorous Computation of Higher Transcendental functions

Copyright (C) 2011–2012 University of Bristol, UK, and University of Uppsala, Sweden.

archt is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

archt is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
 

Authors: Andrew R. Booker, Andreas Strömbergsson, Holger Then.

Purpose: Rigorous multi-precision computation of higher transcendental functions.

reasonably fast – All computations are tightly bounded.
rigorous – Multi-precision interval arithmetic is used along with rigorous error bounds.
easy to use – The user specifies the desired precision while the algorithm determines automatically the required bounds.
fairly general – For instance Γ(z) works for any complex argument, including poles.
 

Version: 1.0.3 which includes the following files

COPYINGA copy of the GNU General Public License.
READMESome instructions for the use of archt.
archt.cThe archt header.
bernoulli.cAlgorithms for computing and tabulating Bernoulli numbers.
kbessel.cAlgorithm for computing Bessel Kir(x) of purely imaginary order ir.
lngamma.cAlgorithm for computing lnΓ(z) and Γ(z) for complex argument.
primes.cEuler sieve for computing and tabulating primes.
 

Installing archt

Download archt.tgz into an empty directory and unpack via tar -xzf archt.tgz