package Math::Random::Xorshift;
use 5.008000;
use strict;
use warnings;
use Exporter::Lite;
our $VERSION = '0.05';
our @EXPORT_OK = qw/srand rand irand/;
require XSLoader;
XSLoader::load('Math::Random::Xorshift', $VERSION);
1;
__END__
=head1 NAME
Math::Random::Xorshift - a fast PRNG
=head1 SYNOPSIS
my @seeds = (123_456_789, 362_436_069, 521_288_629, 88_675_123);
# OO interface
use Math::Random::Xorshift;
my $rng = Math::Random::Xorshift->new(@seeds);
$rng->srand(@seeds);
my $n = $rng->rand;
my $i = $rng->irand;
# Functional interface
use Math::Random::Xorshift qw/srand irand rand/;
srand(@seeds);
$n = rand(10);
$i = irand;
=head1 DESCRIPTION
This module is a straight forward implementation of Xorshift PRNG proposed by G. Marsaglia in 2003.
Note that the algorithm is extremely fast and passes the L<Diehard test|http://www.stat.fsu.edu/pub/diehard/> though, is not reliable enough statistically (see L</SEE ALSO> section). I think however this module is useful for games and suchlike usages.
If you want rather more reliability than fastness, I recommend L<Math::Random::MT>.
=head2 EXPORT
None by default. You can import C<srand>, C<rand> and C<irand> to replace Perl's builtins. These functions manupilate static PRNG object in C level. So these are about 3-4x faster than OO interface, since there's no method resolution overhead.
=head1 METHOD
=head2 new([$seed | @seeds])
Constructor. You can specify up to 4 seed(s). At least 1 seed value must not be zero.
If no seeds are given, return value of C<time(3)> is used.
=head2 srand([$seed | @seeds])
Resets seeds.
=head2 irand()
Returns unsigned random integer in range of [0, UINT32_MAX).
=head2 rand([$upper_limit = 1.0])
Returns random real number in range of [0, $upper_limit). C<$upper_limit> should be positive.
=head1 BENCHMARK
Here is a benchmark result on my Macbook(Core 2 Duo 2.4 GHz/4GB DDR3 RAM).
Competitors are L<Math::Random::MT>, L<Math::Random::ISAAC>, and Perl's builtin C<rand()>.
You can run bench.pl included in this distribution to benchmark on your machine.
Rate M::R::ISAAC#irand M::R::MT#rand M::R::ISAAC#rand M::R::Xorshift#rand M::R::Xorshift#irand M::R::Xorshift::irand M::R::Xorshift::rand CORE::rand
M::R::ISAAC#irand 910221/s -- -2% -3% -64% -66% -89% -90% -96%
M::R::MT#rand 927943/s 2% -- -1% -63% -66% -89% -90% -96%
M::R::ISAAC#rand 936228/s 3% 1% -- -63% -65% -89% -90% -96%
M::R::Xorshift#rand 2502283/s 175% 170% 167% -- -8% -71% -73% -88%
M::R::Xorshift#irand 2706501/s 197% 192% 189% 8% -- -68% -71% -87%
M::R::Xorshift::irand 8485586/s 832% 814% 806% 239% 214% -- -8% -59%
M::R::Xorshift::rand 9175040/s 908% 889% 880% 267% 239% 8% -- -56%
CORE::rand 20852364/s 2191% 2147% 2127% 733% 670% 146% 127% --
=head1 SEE ALSO
=over 2
=item L<Math::Random::MT> - The Mersenne Twister PRNG
=item G. Marsaglia, 2003, L<"Xorshift PRNGs"|http://www.jstatsoft.org/v08/i14/paper> - Original paper
=item F. Panneton and P. L'ecuyer, 2005, L<"On the xorshift random number generators"|http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.63.7497&rep=rep1&type=pdf> - According to this paper, Xorshift is not reliable
=back
=head1 AUTHOR
Koichi SATOH, E<lt>r.sekia@gmail.comE<gt>
=head1 COPYRIGHT AND LICENSE
The MIT License
Copyright (C) 2010 by Koichi SATOH
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
=cut