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package Math::BigInt::Random; |
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3
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our $VERSION = 0.04; |
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5
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1
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1
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108797
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use strict; |
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3
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1
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38
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6
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1
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1
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use warnings; |
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1
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1
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76
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7
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require Exporter; |
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our @ISA = qw(Exporter); |
9
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our @EXPORT = qw(random_bigint); |
10
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1
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1
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6
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use Carp qw(carp croak); |
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6
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1
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82
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1
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1
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4
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use Math::BigInt; |
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2
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1
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5
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12
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13
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sub random_bigint { |
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6
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6
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1
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3405
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my (%args) = @_; |
15
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6
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100
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28
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my $max = $args{max} || 0; |
16
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6
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69
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$max = Math::BigInt->new($max); |
17
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6
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378
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my ($length_hex) = $args{length_hex}; |
18
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6
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12
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my ($length_bin) = $args{length_bin}; |
19
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6
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10
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my ($use_internet) = $args{use_internet}; |
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6
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50
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66
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20
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carp("hmm...two incompatible specs for length, will use hex") |
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if $length_hex and $length_bin; |
22
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6
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7
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my $required_length = 0; |
23
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6
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50
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22
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croak "max must be > 0, but $max was specified" if $max < 0; |
24
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6
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100
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833
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if ( $max == 0 ) { |
25
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3
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50
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320
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$required_length = $args{length} |
26
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or croak "Need a maximum or a length for the random number"; |
27
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3
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7
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my $digit = '9'; |
28
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3
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4
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my $prefix = ''; |
29
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3
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100
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52
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if ($length_hex) { |
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100
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30
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1
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2
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$digit = 'f'; |
31
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1
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3
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$prefix = '0x'; |
32
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} |
33
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elsif ($length_bin) { |
34
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1
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2
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$digit = '1'; |
35
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1
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1
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$prefix = '0b'; |
36
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} |
37
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3
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11
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my $max_num_string = $prefix . ( $digit x $required_length ); |
38
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3
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9
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$max = Math::BigInt->new($max_num_string); |
39
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} |
40
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6
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100
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1062
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my $min = $args{min} || 0; |
41
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6
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52
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$min = Math::BigInt->new($min); |
42
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6
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292
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my $interval = $max - $min; |
43
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6
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50
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528
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croak "too narrow a range" if $interval <= 0; |
44
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6
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887
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my $tries = 1000; |
45
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6
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100
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16
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$tries *= 16 if $length_bin; |
46
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6
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25
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for ( my $i = 0 ; $i < $tries ; ++$i ) { |
47
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6
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100
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66
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15
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my $rand_num = |
48
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( $interval < 0xfffff and !$use_internet ) |
49
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? Math::BigInt->new( int rand($interval) ) |
50
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: bigint_rand($interval, $use_internet); |
51
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6
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1205
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$rand_num += $min; |
52
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6
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50
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306
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next if $rand_num > $max; |
53
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6
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174
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my $num_length_10 = length $rand_num; |
54
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6
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158
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my $num_length_16 = int length( $rand_num->as_hex() ) - 2; |
55
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6
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10098
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my $num_length_2 = int length( $rand_num->as_bin() ) - 2; |
56
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next |
57
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6
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50
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100
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805
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if $required_length |
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66
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58
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and $length_hex |
59
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and $num_length_16 != $required_length; |
60
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next |
61
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6
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50
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100
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25
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if $required_length |
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66
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62
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and $length_bin |
63
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and $num_length_2 != $required_length; |
64
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next |
65
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6
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50
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100
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46
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if $required_length |
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100
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66
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66
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and !$length_hex |
67
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and !$length_bin |
68
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and $num_length_10 != $required_length; |
69
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6
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49
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return $rand_num; |
70
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} |
71
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0
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0
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carp "Could not make random number $required_length size in $tries tries"; |
72
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0
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0
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return; |
73
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} |
74
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75
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sub bigint_rand { |
76
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4
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4
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1
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373
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my( $max, $use_internet ) = @_; |
77
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4
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13
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my $as_hex = $max->as_hex(); |
78
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4
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765
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my $len = length($as_hex); # include '0x' prefix |
79
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4
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10
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my $bottom_quads = int( ( $len - 3 ) / 4 ); |
80
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4
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12
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my $top_quad_chunk = substr($as_hex, 0, $len - 4 * $bottom_quads); |
81
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4
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4
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my $num = '0x'; |
82
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4
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50
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9
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if($use_internet) { |
83
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0
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0
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$num .= get_random_org_digits(hex $top_quad_chunk, 1); |
84
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0
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0
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$num .= get_random_org_digits(65535, $bottom_quads); |
85
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} |
86
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else { |
87
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4
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14
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$num .= get_random_hex_digits(hex $top_quad_chunk, 1); |
88
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4
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10
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$num .= get_random_hex_digits(65535, $bottom_quads); |
89
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} |
90
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4
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24
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return Math::BigInt->new($num); |
91
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} |
92
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93
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|
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|
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sub get_random_hex_digits { |
94
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8
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8
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1
|
12
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my($max, $count) = @_; |
95
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8
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50
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14
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return '' if $count < 1; |
96
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8
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8
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my @digits; |
97
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8
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14
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for(1 .. $count) { push @digits, int rand($max) } |
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24
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91
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98
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8
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18
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return assemble_digits(\@digits); |
99
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} |
100
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101
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sub get_random_org_digits { |
102
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0
|
|
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0
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1
|
0
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my($max, $count) = @_; |
103
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0
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0
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0
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return if $count < 1; |
104
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0
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0
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require LWP::Simple; |
105
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0
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|
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0
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my $request = "http://www.random.org/cgi-bin/randnum?num=$count&min=0&max=$max&col=1"; |
106
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0
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|
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0
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my $page = LWP::Simple::get($request); |
107
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0
|
|
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0
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my @digits = split /\s+/, $page; |
108
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0
|
|
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0
|
foreach (@digits) { $_ ^= int rand($max) } |
|
0
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0
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|
109
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0
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0
|
return assemble_digits(\@digits); |
110
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} |
111
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112
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sub assemble_digits { |
113
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8
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8
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1
|
11
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my $array = shift; |
114
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8
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9
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my $retval; |
115
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8
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100
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13
|
if(scalar(@$array) > 1) { |
116
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3
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6
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foreach (@$array) { $retval .= sprintf( "%04x", $_ ) } |
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19
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31
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117
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} |
118
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else { |
119
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5
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21
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$retval = sprintf( "%x", $array->[0] ) |
120
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} |
121
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8
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22
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return $retval; |
122
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} |
123
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124
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125
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=head1 NAME |
126
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127
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Math::BigInt::Random -- arbitrary sized random integers |
128
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129
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=head1 DESCRIPTION |
130
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131
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Random number generator for arbitrarily large integers. |
132
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Uses the Math::BigInt module to handle the generated values. |
133
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134
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This module exports a single function called random_bigint, which returns |
135
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a single random Math::BigInt number of the specified range or size. |
136
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137
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138
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=head1 SYNOPSIS |
139
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140
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use Math::BigInt; |
141
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use Math::BigInt::Random qw/ random_bigint /; |
142
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143
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print "random by max : ", random_bigint( max => '10000000000000000000000000'), "\n", |
144
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"random by max and min : ", |
145
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random_bigint( min => '7000000000000000000000000', max => '10000000000000000000000000'), "\n", |
146
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"random by length (base 10): ", |
147
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random_bigint( length => 20 ), "\n", |
148
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"random by length (base 16) :", |
149
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random_bigint( length_hex => 1, length => 20)->as_hex, "\n"; |
150
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|
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"random by length (base 2) :", |
151
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random_bigint( length_bin => 1, length => 319)->as_bin, "\n"; |
152
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|
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|
"random from random.org" :", |
153
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random_bigint( max => '3333333333333333000000000000000000000000', |
154
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min => '3333333333333300000000000000000000000000', use_internet => 1); |
155
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156
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157
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158
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=head1 FUNCTION ARGUMENTS |
159
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160
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|
|
=over 4 |
161
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|
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162
|
|
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|
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|
This module exports a single function called random_bigint, which returns |
163
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|
|
a single random Math::BigInt of arbitrary size. |
164
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|
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165
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166
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Parameters to the function are given in paired hash style: |
167
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168
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max => $max, |
169
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the maximum integer that can be returned. Either the 'max' or the 'length' |
170
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|
|
parameter is mandatory. If both max and length are given, only the 'max' |
171
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parameter will be used. Note that the max must be >= 1. |
172
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173
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min => $min, |
174
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which specifies the minimum integer that can be returned. |
175
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176
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length => $required_length, |
177
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which specifies the number of digits (with most significant digit not 0). |
178
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Note that if max is specified, length will be ignored. However, if max is |
179
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not specified, length is a required argument. |
180
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181
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length_hex => 1, |
182
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which specifies that, if length is used, the length is that of the base 16 |
183
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number, not the base 10 number which is the default for the length. |
184
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185
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length_bin => 1, |
186
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which specifies that, if length is used, the length is that of the base 2 |
187
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number, not the base 10 number which is the default for the length. Note |
188
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that, due to discarding half the possible random numbers due to random |
189
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|
generation of a most significant place digit of 0, this method is about |
190
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half as efficient as when an exact maximum and minimum are given instead. |
191
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192
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use_internet => 1, |
193
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which specifies that the random.org website will be used for random |
194
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|
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|
number generation. Note this is NOT secure, since anyone monitoring |
195
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|
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|
the connnection might be able to read the numbers that are received. |
196
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|
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It is quite random, however. |
197
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198
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=back |
199
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200
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=head2 Class Internal Methods and Functions |
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=over 4 |
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=item assemble_digits |
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=item bigint_rand |
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=item get_random_hex_digits |
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=item get_random_org_digits |
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=item random_bigint |
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=back |
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=head1 AUTHOR |
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William Herrera (wherrera@skylightview.com) |
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=head1 COPYRIGHT |
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Copyright (C) 2007 William Hererra. All Rights Reserved. |
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This module is free software; you can redistribute it and/or modify it |
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under the same terms as Perl itself. |
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=cut |
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1; |