PROGRAM SUMMARY
Title of program:
tdhpl version 1.0, release 1
Catalogue identifier:
ADPU
Ref. in CPC:
144(2002)200
Distribution format: tar gzip file
Operating system: Linux
High speed store required:
1144K words
Number of bits in a word:
32
Number of lines in distributed program, including test data, etc:
34971
Keywords:
Harmonic polylogarithms, Feynman integrals, General purpose, Function.
Programming language used: Fortran
Computer:
Pentium III/600MHz PC .
CPC Program Library subprograms used:
Cat. Id. Title Ref. in CPC ADPG hplog version 1.0 141(2001)296
Nature of physical problem:
Numerical evaluation of the two-dimensional harmonic polylogarithms up
to weight 4 for real arguments restricted to 0 <= y <= 1,
0 <= z <= (1-y). These functions are emerging in Feynman graph
integrals involving three mass scales.
Method of solution:
For small values of the argument: series representation with expansion
coefficients depending on the second argument; other values of the
argument: transformation formulae.
Restrictions:
Limited to 2dHPLs of up to weight 4, the algorithms used here can be
extended to higher weights without further modification.
Typical running time:
On average 1.8 ms (both arguments varied)/0.5 ms (only one argument
varied) for the evaluation of all two-dimensional harmonic
polylogarithms up to weight 4 on a Pentium III/600 MHz Linux PC.