#!/usr/bin/perl -ws use strict; use vars qw/$size $iter/; use Benchmark qw(cmpthese); use Data::Dumper; $size ||= 1000; $iter ||= 1000; sub FAQ_FY { my $array = shift; my $i; for ($i = @$array; --$i; ) { my $j = int rand ($i+1); next if $i == $j; @$array[$i,$j] = @$array[$j,$i]; } } sub shuffl (\@) { my $r=pop; $a = $_ + rand @{$r} - $_ and @$r[$_, $a] = @$r[$a, $_] for (0..$#{$r}); } use vars '@r'; sub supffl (\@) { local *r = pop; my $sz = @r; my $i = -1; while ($sz) { $a = ++$i + rand $sz--; @r[$i, $a] = @r[$a, $i]; } } my @array = 1 .. $size; cmpthese(-2, { FAQ_FY => sub { FAQ_FY \@array }, shuffl => sub { shuffl @array }, supffl => sub { supffl @array }, }); my (%buckets, %d, @temp);; my @set = qw(A B C D);# E F G); for (1 .. $iter ) { @temp=@set; FAQ_FY \@temp; $buckets{"@temp"}{FAQ_FY}++; @temp=@set; shuffl @temp; $buckets{"@temp"}{shuffl}++; @temp=@set; supffl @temp; $buckets{"@temp"}{supffl}++; } print "\npermutation | FAQ_FY | shuffl | supffl \n"; print "--------------------------------------------\n"; for my $key (sort keys %buckets) { # printf "%8.8s: | %4d | %4d | %4d \n", $key, # $buckets{$key}{FAQ_FY}, # $buckets{$key}{shuffl}, # $buckets{$key}{supffl}, $d{FAQ_FY}{Ex} += $buckets{$key}{FAQ_FY}||=0; $d{FAQ_FY}{Ex2} += $buckets{$key}{FAQ_FY}**2; $d{shuffl}{Ex} += $buckets{$key}{shuffl}||=0; $d{shuffl}{Ex2} += $buckets{$key}{shuffl}**2; $d{supffl}{Ex} += $buckets{$key}{supffl}||=0; $d{supffl}{Ex2} += $buckets{$key}{supffl}**2; } print "----------------------------------------\n"; printf "Std. Dev. | %0.3f | %0.3f | %0.3f \n", sqrt( ($d{FAQ_FY}{Ex2} - ($d{FAQ_FY}{Ex}**2/24))/23 ), sqrt( ($d{shuffl}{Ex2} - ($d{shuffl}{Ex}**2/24))/23 ), sqrt( ($d{supffl}{Ex2} - ($d{supffl}{Ex}**2/24))/23 ); # sqrt( ($d{FAQ_FY}{Ex2} - ($d{FAQ_FY}{Ex}**2/120))/119 ), # sqrt( ($d{shuffl}{Ex2} - ($d{shuffl}{Ex}**2/120))/119 ), # sqrt( ($d{supffl}{Ex2} - ($d{supffl}{Ex}**2/120))/119 ); # sqrt( ($d{FAQ_FY}{Ex2} - ($d{FAQ_FY}{Ex}**2/5040))/5039 ), # sqrt( ($d{shuffl}{Ex2} - ($d{shuffl}{Ex}**2/5040))/5039 ), # sqrt( ($d{supffl}{Ex2} - ($d{supffl}{Ex}**2/5040))/5039 );