  This paper has a practical aim. For a long time, implementations of
pseudorandom number generators in standard libraries of programming languages
had poor quality. The situation started to improve only recently. Up to now, a
large number of libraries and weakly supported mathematical packages use
outdated algorithms for random number generation. Four modern sets of
statistical tests that can be used for verifying random number generators are
described. It is proposed to use command line utilities, which makes it
possible to avoid low-level programming in such languages as C or C++. Only
free open source systems are considered.
