NAME Math::Random::Cauchy - Random numbers following a Cauchy PDF SYNOPSIS use Math::Random::Cauchy; my \$cauchy = Math::Random::Cauchy->new( fwhm => 1, # the width (full width, half maximum), default==1 middle => 5, # the expectation value, default==0 random => 'rand', # use Perl's builtin (default) ); foreach (1..100) { my \$rnd = \$cauchy->rand(); # ... } # Use Math::Random::MT instead of bultin rand() use Math::Random::MT; my \$mt = Math::Random::Mt->new(\$seed); \$cauchy = Math::Random::Cauchy->new( random => sub { \$mt->rand() }; ); DESCRIPTION This module transforms uniformly spaced random numbers into random numbers that follow the Cauchy Probability Density Function (*PDF*). A more general transformation method is implemented in Math::Random::AcceptReject. The algorithm is from Blobel et al as quoted in the *SEE ALSO* section below. METHODS new Creates a new random number generator. Takes named arguments. Optional parameters: random: The random number generator. Defaults to using Perl's rand() function. May be set to either 'rand' for the default or a subroutine reference for custom random number generators. Expected to return one or more(!) random numbers per call. fwhm: Full width, half maximum. Defaults to 1. middle: Expectation value for x. Defaults to 0. rand Returns the next random number of Cauchy PDF. SEE ALSO Math::Random::MT, Math::Random, Math::Random::OO, Math::TrulyRandom, Math::Random::AcceptReject The examples in the examples/ subdirectory of this distribution. The algorithm was taken from: (German) Blobel, V., and Lohrmann, E. *Statistische und numerische Methoden der Datenanalyse*. Stuttgart, Leipzig: Teubner, 1998 AUTHOR Steffen Mueller, COPYRIGHT AND LICENSE Copyright (C) 2007 by Steffen Mueller This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself, either Perl version 5.6 or, at your option, any later version of Perl 5 you may have available.