Numerical evaluation of harmonic polylogarithms. T. Gehrmann, E. Remiddi.

PROGRAM SUMMARY
Title of program: hplog version 1.0
Catalogue identifier: ADPG
Ref. in CPC: 141(2001)296
Distribution format: gzip file
Operating system: Linux
High speed store required: 516K words
Number of lines in distributed program, including test data, etc: 3271
Keywords: Harmonic polylogarithms, Feynman integrals, General purpose, Function.
Programming language used: Fortran
Computer: Pentium III/600 MHz PC .

Nature of physical problem:
Numerical evaluation of the harmonic polylogarithms up to weight 4 for arbitrary real argument. These functions are emerging in Feynman graph integrals involving more than one mass scale.

Method of solution:
For small values of the argument: series representation; other values of the argument: transformation formulae.

Restrictions:
Limited up to HPL of weight 4, the algorithms used here can be extended to higher weights without modification.

Typical running time:
On average 0.3 ms for the evaluation of all harmonic polylogarithms up to weight 4 on a Pentium III/600 MHz Linux PC.