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package Algorithm::HyperLogLog::PP; |
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5
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5
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2045
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use strict; |
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11
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5
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190
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3
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5
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28
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use warnings; |
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5
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34
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5
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130
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4
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5
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102
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use 5.008008; |
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5
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16
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5
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226
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5
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25
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use Carp (); |
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8
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116
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6
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5590
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use Digest::MurmurHash3::PurePerl qw(murmur32); |
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15768
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5
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438
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7
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use constant { |
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5
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4746
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HLL_HASH_SEED => 313, |
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9
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TWO_32 => 4294967296.0, |
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10
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NEG_TWO_32 => -4294967296.0, |
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5
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5
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39
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}; |
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5
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10
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12
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13
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our $VERSION = "0.23"; |
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14
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15
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require Algorithm::HyperLogLog; |
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17
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{ |
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18
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19
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package Algorithm::HyperLogLog; |
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20
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our @ISA = qw(Algorithm::HyperLogLog::PP); |
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21
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} |
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22
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23
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sub new { |
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24
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112
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112
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0
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481661
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my ( $class, $k ) = @_; |
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25
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26
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112
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100
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100
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1234
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if ( $k < 4 || $k > 16 ) { |
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27
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2
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583
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Carp::croak "Number of ragisters must be in the range [4,16]"; |
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28
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} |
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29
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30
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110
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296
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my $m = 1 << $k; |
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31
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110
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342569
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my $registers = [ (0) x $m ]; |
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32
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110
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454
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my $alpha = 0; |
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33
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110
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100
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971
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if ( $m == 16 ) { |
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100
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50
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34
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1
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3
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$alpha = 0.673; |
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35
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} |
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36
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elsif ( $m == 32 ) { |
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37
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3
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9
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$alpha = 0.697; |
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38
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} |
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39
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elsif ( $m == 64 ) { |
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40
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0
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0
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$alpha = 0.709; |
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41
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} |
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42
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else { |
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43
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106
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495
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$alpha = 0.7213 / ( 1.0 + 1.079 / $m ); |
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44
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} |
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45
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46
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110
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1331
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my $self = { |
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47
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k => $k, |
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48
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m => $m, |
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49
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registers => $registers, |
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50
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alphaMM => $alpha * $m * $m, |
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51
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}; |
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52
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110
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666
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bless $self, $class; |
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53
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110
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2480
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return $self; |
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54
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} |
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55
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56
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sub _new_from_dump { |
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57
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2
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2
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7
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my ( $class, $k, $data ) = @_; |
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58
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2
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10
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my $self = $class->new($k); |
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59
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2
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7
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$self->{registers} = $data; |
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60
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2
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1038
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return $self; |
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61
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} |
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62
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63
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sub _dump_register { |
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64
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2
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2
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35
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my $self = shift; |
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65
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2
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10
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return $self->{registers}; |
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66
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} |
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67
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68
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sub register_size { |
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69
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7
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7
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0
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40
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my $self = shift; |
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70
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7
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79
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return $self->{m}; |
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71
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} |
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72
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73
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sub add { |
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74
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500104
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500104
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0
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6916940
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my ( $self, @data_list ) = @_; |
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75
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500104
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830424
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for my $data (@data_list) { |
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76
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600004
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1541545
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my $hash = murmur32( $data, HLL_HASH_SEED ); |
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77
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600004
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33918244
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my $index = ( $hash >> ( 32 - $self->{'k'} ) ); |
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78
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600004
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1461563
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my $rank = _rho( ( $hash << $self->{k} ), 32 - $self->{k} ); |
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79
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600004
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100
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2396212
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if ( $rank > $self->{registers}[$index] ) { |
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80
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295371
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1083953
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$self->{registers}[$index] = $rank; |
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81
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} |
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82
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} |
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83
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} |
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84
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85
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sub estimate { |
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86
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205
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205
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0
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202694
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my $self = shift; |
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87
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205
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573
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my $m = $self->{m}; |
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88
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89
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205
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400
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my $rank = 0; |
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90
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205
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428
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my $sum = 0.0; |
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91
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205
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678
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for my $i ( 0 .. ( $m - 1 ) ) { |
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92
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13303872
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15207440
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$rank = $self->{registers}[$i]; |
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93
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13303872
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16911816
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$sum += 1.0 / ( 2.0**$rank ); |
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94
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} |
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95
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96
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205
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1505
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my $estimate = $self->{alphaMM} * ( 1.0 / $sum ); # E in the original paper |
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97
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205
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100
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1237
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if ( $estimate <= 2.5 * $m ) { |
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50
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98
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204
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419
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my $v = 0; |
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99
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204
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1098
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for my $i ( 0 .. ( $m - 1 ) ) { |
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100
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13238336
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100
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25243534
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if ( $self->{registers}[$i] == 0 ) { |
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101
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9933197
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10718756
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$v++; |
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102
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} |
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103
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} |
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104
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105
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204
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50
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1209
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if ( $v != 0 ) { |
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106
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204
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2014
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$estimate = $m * log( $m / $v ); |
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107
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} |
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108
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} |
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109
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elsif ( $estimate > ( 1.0 / 30.0 ) * TWO_32 ) { |
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110
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0
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0
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$estimate = NEG_TWO_32 * log( 1.0 - ( $estimate / TWO_32 ) ); |
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111
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} |
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112
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205
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35157
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return $estimate; |
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113
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} |
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114
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115
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sub merge { |
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116
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1
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1
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0
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7
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my ($self, $other) = @_; |
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117
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1
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3
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my $m = $self->{m}; |
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118
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119
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1
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50
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6
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die "hll size misatch" if $self->{m} != $other->{m}; |
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120
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121
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1
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5
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for (my $i=0; $i<$m; $i++) { |
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122
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65536
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100
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168988
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if ($self->{registers}[$i] < $other->{registers}[$i]) { |
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123
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26799
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61194
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$self->{registers}[$i] = $other->{registers}[$i]; |
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124
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} |
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125
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} |
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126
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} |
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127
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128
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sub XS { |
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129
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0
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0
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0
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0
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0; |
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130
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} |
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131
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132
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sub _rho { |
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133
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600004
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600004
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766509
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my ( $x, $b ) = @_; |
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134
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600004
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697825
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my $v = 1; |
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135
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600004
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100
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2747558
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while ( $v <= $b && !( $x & 0x80000000 ) ) { |
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136
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499096
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550226
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$v++; |
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137
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499096
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1957922
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$x <<= 1; |
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138
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} |
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139
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600004
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971647
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return $v; |
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140
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} |
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141
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142
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1; |
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143
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__END__ |