[GiNaC-devel] [SCM] GiNaC -- a C++ library for symbolic computations branch, master, updated. release_1-4-0-411-gff604e2

[Richard B. Kreckel]

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commit ff604e21b9108236522fb59ba5f72ba1b88b374e
Author: Stefan Weinzierl <stefanw at thep.physik.uni-mainz.de>
Date:   Sun Jan 12 22:31:22 2014 +0000

    Fix S_num for arguments close to the sixth root of unity or its conjugate.
    
    The method S_num within the Nielsen polylogs used to map the region
    abs(x)<=1 && abs(x)>0.95 && abs(1-x)<=1 && abs(1-x)>0.95 infinitely many times
    onto itself. This infinite recursion is now avoided.
    
    This however reveals the next problem: The numerical convergence in this
    region is very slow. Within the Nielsen polylogs there is no transformation
    available to improve the convergence. However we can use the (1-x)/(1+x)
    transformation within the harmonic polylogs. In order to avoid another
    infinite recursion I have inserted a few hold()'s in the method H_evalf,
    otherwise we would fall back immediately again to Nielsen polylogs. The hold()s
    should have been there anyway.

commit 22dbae3e0d20ffd06e405100c295aeabfc0dfa5a
Author: Stefan Weinzierl <stefanw at thep.physik.uni-mainz.de>
Date:   Sun Jan 12 22:19:56 2014 +0000

    Fix G3_evalf and G3_eval for real and negative x.
    
    The user supplied signs of the imaginary parts are only relevant for x real
    and positive. A negative sign in the case of x real and negative is irrelevant
    (there is no branch cut) and led to wrong results. This is now avoided.

commit 9a69e9de24bc228830b5cdf02648edd860e04f8e
Author: Stefan Weinzierl <stefanw at thep.physik.uni-mainz.de>
Date:   Sun Jan 12 22:07:28 2014 +0000

    Within mLi_numeric, set signs of the imaginary parts correctly for G_numeric.

commit a4ad8cb5a89db1405fbdcaae12aef3c07904efd8
Author: Stefan Weinzierl <stefanw at thep.physik.uni-mainz.de>
Date:   Sun Jan 12 21:58:12 2014 +0000

    Avoid calling log(1-x) for x=1 in Li_projection.

-----------------------------------------------------------------------

Summary of changes:
 ginac/inifcns_nstdsums.cpp |   62 ++++++++++++++++++++++++++++++++-----------
 1 files changed, 46 insertions(+), 16 deletions(-)


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