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| 1 |  |  |  |  |  |  | package Algorithm::HyperLogLog::PP; | 
| 2 | 5 |  |  | 5 |  | 1433 | use strict; | 
|  | 5 |  |  |  |  | 13 |  | 
|  | 5 |  |  |  |  | 170 |  | 
| 3 | 5 |  |  | 5 |  | 32 | use warnings; | 
|  | 5 |  |  |  |  | 32 |  | 
|  | 5 |  |  |  |  | 129 |  | 
| 4 | 5 |  |  | 5 |  | 83 | use 5.008008; | 
|  | 5 |  |  |  |  | 22 |  | 
| 5 | 5 |  |  | 5 |  | 33 | use Carp (); | 
|  | 5 |  |  |  |  | 11 |  | 
|  | 5 |  |  |  |  | 124 |  | 
| 6 | 5 |  |  | 5 |  | 2572 | use Digest::MurmurHash3::PurePerl qw(murmur32); | 
|  | 5 |  |  |  |  | 10480 |  | 
|  | 5 |  |  |  |  | 397 |  | 
| 7 |  |  |  |  |  |  | use constant { | 
| 8 | 5 |  |  |  |  | 4223 | HLL_HASH_SEED => 313, | 
| 9 |  |  |  |  |  |  | TWO_32        => 4294967296.0, | 
| 10 |  |  |  |  |  |  | NEG_TWO_32    => -4294967296.0, | 
| 11 | 5 |  |  | 5 |  | 39 | }; | 
|  | 5 |  |  |  |  | 14 |  | 
| 12 |  |  |  |  |  |  |  | 
| 13 |  |  |  |  |  |  | our $VERSION = "0.24"; | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | require Algorithm::HyperLogLog; | 
| 16 |  |  |  |  |  |  |  | 
| 17 |  |  |  |  |  |  | { | 
| 18 |  |  |  |  |  |  |  | 
| 19 |  |  |  |  |  |  | package Algorithm::HyperLogLog; | 
| 20 |  |  |  |  |  |  | our @ISA = qw(Algorithm::HyperLogLog::PP); | 
| 21 |  |  |  |  |  |  | } | 
| 22 |  |  |  |  |  |  |  | 
| 23 |  |  |  |  |  |  | sub new { | 
| 24 | 112 |  |  | 112 | 0 | 327905 | my ( $class, $k ) = @_; | 
| 25 |  |  |  |  |  |  |  | 
| 26 | 112 | 100 | 100 |  |  | 1012 | if ( $k < 4 || $k > 16 ) { | 
| 27 | 2 |  |  |  |  | 291 | Carp::croak "Number of ragisters must be in the range [4,16]"; | 
| 28 |  |  |  |  |  |  | } | 
| 29 |  |  |  |  |  |  |  | 
| 30 | 110 |  |  |  |  | 326 | my $m         = 1 << $k; | 
| 31 | 110 |  |  |  |  | 114989 | my $registers = [ (0) x $m ]; | 
| 32 | 110 |  |  |  |  | 618 | my $alpha     = 0; | 
| 33 | 110 | 100 |  |  |  | 704 | if ( $m == 16 ) { | 
|  |  | 100 |  |  |  |  |  | 
|  |  | 50 |  |  |  |  |  | 
| 34 | 1 |  |  |  |  | 17 | $alpha = 0.673; | 
| 35 |  |  |  |  |  |  | } | 
| 36 |  |  |  |  |  |  | elsif ( $m == 32 ) { | 
| 37 | 3 |  |  |  |  | 8 | $alpha = 0.697; | 
| 38 |  |  |  |  |  |  | } | 
| 39 |  |  |  |  |  |  | elsif ( $m == 64 ) { | 
| 40 | 0 |  |  |  |  | 0 | $alpha = 0.709; | 
| 41 |  |  |  |  |  |  | } | 
| 42 |  |  |  |  |  |  | else { | 
| 43 | 106 |  |  |  |  | 838 | $alpha = 0.7213 / ( 1.0 + 1.079 / $m ); | 
| 44 |  |  |  |  |  |  | } | 
| 45 |  |  |  |  |  |  |  | 
| 46 | 110 |  |  |  |  | 817 | my $self = { | 
| 47 |  |  |  |  |  |  | k         => $k, | 
| 48 |  |  |  |  |  |  | m         => $m, | 
| 49 |  |  |  |  |  |  | registers => $registers, | 
| 50 |  |  |  |  |  |  | alphaMM   => $alpha * $m * $m, | 
| 51 |  |  |  |  |  |  | }; | 
| 52 | 110 |  |  |  |  | 401 | bless $self, $class; | 
| 53 | 110 |  |  |  |  | 1578 | return $self; | 
| 54 |  |  |  |  |  |  | } | 
| 55 |  |  |  |  |  |  |  | 
| 56 |  |  |  |  |  |  | sub _new_from_dump { | 
| 57 | 2 |  |  | 2 |  | 8 | my ( $class, $k, $data ) = @_; | 
| 58 | 2 |  |  |  |  | 7 | my $self = $class->new($k); | 
| 59 | 2 |  |  |  |  | 5 | $self->{registers} = $data; | 
| 60 | 2 |  |  |  |  | 636 | return $self; | 
| 61 |  |  |  |  |  |  | } | 
| 62 |  |  |  |  |  |  |  | 
| 63 |  |  |  |  |  |  | sub _dump_register { | 
| 64 | 2 |  |  | 2 |  | 5 | my $self = shift; | 
| 65 | 2 |  |  |  |  | 6 | return $self->{registers}; | 
| 66 |  |  |  |  |  |  | } | 
| 67 |  |  |  |  |  |  |  | 
| 68 |  |  |  |  |  |  | sub register_size { | 
| 69 | 7 |  |  | 7 | 0 | 28 | my $self = shift; | 
| 70 | 7 |  |  |  |  | 71 | return $self->{m}; | 
| 71 |  |  |  |  |  |  | } | 
| 72 |  |  |  |  |  |  |  | 
| 73 |  |  |  |  |  |  | sub add { | 
| 74 | 500104 |  |  | 500104 | 0 | 8023674 | my ( $self, @data_list ) = @_; | 
| 75 | 500104 |  |  |  |  | 911450 | for my $data (@data_list) { | 
| 76 | 600004 |  |  |  |  | 1354684 | my $hash = murmur32( $data, HLL_HASH_SEED ); | 
| 77 | 600004 |  |  |  |  | 42254771 | my $index = ( $hash >> ( 32 - $self->{'k'} ) ); | 
| 78 | 600004 |  |  |  |  | 1321169 | my $rank = _rho( ( $hash << $self->{k} ), 32 - $self->{k} ); | 
| 79 | 600004 | 100 |  |  |  | 1799874 | if ( $rank > $self->{registers}[$index] ) { | 
| 80 | 295197 |  |  |  |  | 700814 | $self->{registers}[$index] = $rank; | 
| 81 |  |  |  |  |  |  | } | 
| 82 |  |  |  |  |  |  | } | 
| 83 |  |  |  |  |  |  | } | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | sub estimate { | 
| 86 | 205 |  |  | 205 | 0 | 97507 | my $self = shift; | 
| 87 | 205 |  |  |  |  | 620 | my $m    = $self->{m}; | 
| 88 |  |  |  |  |  |  |  | 
| 89 | 205 |  |  |  |  | 481 | my $rank = 0; | 
| 90 | 205 |  |  |  |  | 477 | my $sum  = 0.0; | 
| 91 | 205 |  |  |  |  | 821 | for my $i ( 0 .. ( $m - 1 ) ) { | 
| 92 | 13303872 |  |  |  |  | 20429385 | $rank = $self->{registers}[$i]; | 
| 93 | 13303872 |  |  |  |  | 21556545 | $sum += 1.0 / ( 2.0**$rank ); | 
| 94 |  |  |  |  |  |  | } | 
| 95 |  |  |  |  |  |  |  | 
| 96 | 205 |  |  |  |  | 909 | my $estimate = $self->{alphaMM} * ( 1.0 / $sum );    # E in the original paper | 
| 97 | 205 | 100 |  |  |  | 1007 | if ( $estimate <= 2.5 * $m ) { | 
|  |  | 50 |  |  |  |  |  | 
| 98 | 204 |  |  |  |  | 469 | my $v = 0; | 
| 99 | 204 |  |  |  |  | 996 | for my $i ( 0 .. ( $m - 1 ) ) { | 
| 100 | 13238336 | 100 |  |  |  | 28273170 | if ( $self->{registers}[$i] == 0 ) { | 
| 101 | 9917587 |  |  |  |  | 15682287 | $v++; | 
| 102 |  |  |  |  |  |  | } | 
| 103 |  |  |  |  |  |  | } | 
| 104 |  |  |  |  |  |  |  | 
| 105 | 204 | 50 |  |  |  | 776 | if ( $v != 0 ) { | 
| 106 | 204 |  |  |  |  | 1687 | $estimate = $m * log( $m / $v ); | 
| 107 |  |  |  |  |  |  | } | 
| 108 |  |  |  |  |  |  | } | 
| 109 |  |  |  |  |  |  | elsif ( $estimate > ( 1.0 / 30.0 ) * TWO_32 ) { | 
| 110 | 0 |  |  |  |  | 0 | $estimate = NEG_TWO_32 * log( 1.0 - ( $estimate / TWO_32 ) ); | 
| 111 |  |  |  |  |  |  | } | 
| 112 | 205 |  |  |  |  | 21614 | return $estimate; | 
| 113 |  |  |  |  |  |  | } | 
| 114 |  |  |  |  |  |  |  | 
| 115 |  |  |  |  |  |  | sub merge { | 
| 116 | 1 |  |  | 1 | 0 | 8 | my ($self, $other) = @_; | 
| 117 | 1 |  |  |  |  | 3 | my $m    = $self->{m}; | 
| 118 |  |  |  |  |  |  |  | 
| 119 | 1 | 50 |  |  |  | 5 | die "hll size misatch" if $self->{m} != $other->{m}; | 
| 120 |  |  |  |  |  |  |  | 
| 121 | 1 |  |  |  |  | 4 | for (my $i=0; $i<$m; $i++) { | 
| 122 | 65536 | 100 |  |  |  | 156823 | if ($self->{registers}[$i] < $other->{registers}[$i]) { | 
| 123 | 26799 |  |  |  |  | 58427 | $self->{registers}[$i] = $other->{registers}[$i]; | 
| 124 |  |  |  |  |  |  | } | 
| 125 |  |  |  |  |  |  | } | 
| 126 |  |  |  |  |  |  | } | 
| 127 |  |  |  |  |  |  |  | 
| 128 |  |  |  |  |  |  | sub XS { | 
| 129 | 0 |  |  | 0 | 0 | 0 | 0; | 
| 130 |  |  |  |  |  |  | } | 
| 131 |  |  |  |  |  |  |  | 
| 132 |  |  |  |  |  |  | sub _rho { | 
| 133 | 600004 |  |  | 600004 |  | 1085794 | my ( $x, $b ) = @_; | 
| 134 | 600004 |  |  |  |  | 928579 | my $v = 1; | 
| 135 | 600004 |  | 100 |  |  | 2462910 | while ( $v <= $b && !( $x & 0x80000000 ) ) { | 
| 136 | 499896 |  |  |  |  | 775815 | $v++; | 
| 137 | 499896 |  |  |  |  | 1808481 | $x <<= 1; | 
| 138 |  |  |  |  |  |  | } | 
| 139 | 600004 |  |  |  |  | 1083113 | return $v; | 
| 140 |  |  |  |  |  |  | } | 
| 141 |  |  |  |  |  |  |  | 
| 142 |  |  |  |  |  |  | 1; | 
| 143 |  |  |  |  |  |  | __END__ |