|  line  | 
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 bran  | 
 cond  | 
 sub  | 
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 package Math::BigInt::Random;  | 
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 our $VERSION = 0.04;  | 
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108797
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 use strict;  | 
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 use warnings;  | 
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 require Exporter;  | 
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 our @ISA    = qw(Exporter);  | 
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 our @EXPORT = qw(random_bigint);  | 
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 use Carp qw(carp croak);  | 
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 use Math::BigInt;  | 
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 sub random_bigint {  | 
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14
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6
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3405
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     my (%args) = @_;  | 
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100
  
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28
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     my $max = $args{max} || 0;  | 
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69
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     $max = Math::BigInt->new($max);  | 
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17
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     my ($length_hex) = $args{length_hex};  | 
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6
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     my ($length_bin) = $args{length_bin};  | 
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19
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6
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     my ($use_internet) = $args{use_internet};  | 
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20
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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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21
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       if $length_hex and $length_bin;  | 
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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";  | 
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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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    | 
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30
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1
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2
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             $digit  = 'f';  | 
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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) {  | 
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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 );  | 
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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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    | 
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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
 | 
         return $rand_num;  | 
| 
70
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     }  | 
| 
71
 | 
0
 | 
 
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0
 | 
     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
  
 | 
373
 | 
    my( $max, $use_internet ) = @_;  | 
| 
77
 | 
4
 | 
 
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 | 
13
 | 
    my $as_hex       = $max->as_hex();  | 
| 
78
 | 
4
 | 
 
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 | 
765
 | 
    my $len          = length($as_hex);           # include '0x' prefix  | 
| 
79
 | 
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
 | 
4
 | 
  
 50
  
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9
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    if($use_internet) {  | 
| 
83
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0
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0
 | 
       $num .= get_random_org_digits(hex $top_quad_chunk, 1);  | 
| 
84
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0
 | 
 
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0
 | 
       $num .= get_random_org_digits(65535, $bottom_quads);  | 
| 
85
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     }  | 
| 
86
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     else {  | 
| 
87
 | 
4
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 | 
14
 | 
       $num .= get_random_hex_digits(hex $top_quad_chunk, 1);  | 
| 
88
 | 
4
 | 
 
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 | 
10
 | 
       $num .= get_random_hex_digits(65535, $bottom_quads);  | 
| 
89
 | 
 
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     }  | 
| 
90
 | 
4
 | 
 
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 | 
24
 | 
     return Math::BigInt->new($num);  | 
| 
91
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 }  | 
| 
92
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    | 
| 
93
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 sub get_random_hex_digits {  | 
| 
94
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8
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 | 
  
8
  
 | 
  
1
  
 | 
12
 | 
     my($max, $count) = @_;  | 
| 
95
 | 
8
 | 
  
 50
  
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 | 
14
 | 
     return '' if $count < 1;  | 
| 
96
 | 
8
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8
 | 
     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) }  | 
| 
 
 | 
24
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 | 
91
 | 
    | 
| 
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
 | 
0
 | 
 
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 | 
  
0
  
 | 
  
1
  
 | 
0
 | 
     my($max, $count) = @_;  | 
| 
103
 | 
0
 | 
  
  0
  
 | 
 
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 | 
0
 | 
     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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 | 
0
 | 
     my $request = "http://www.random.org/cgi-bin/randnum?num=$count&min=0&max=$max&col=1";  | 
| 
106
 | 
0
 | 
 
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 | 
0
 | 
     my $page = LWP::Simple::get($request);  | 
| 
107
 | 
0
 | 
 
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 | 
0
 | 
     my @digits = split /\s+/, $page;  | 
| 
108
 | 
0
 | 
 
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0
 | 
     foreach (@digits) { $_ ^= int rand($max) }      | 
| 
 
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0
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 | 
0
 | 
    | 
| 
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
  
 | 
  
1
  
 | 
11
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     my $array = shift;  | 
| 
114
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8
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 | 
9
 | 
     my $retval;  | 
| 
115
 | 
8
 | 
  
100
  
 | 
 
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 | 
13
 | 
     if(scalar(@$array) > 1) {  | 
| 
116
 | 
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
 | 
5
 | 
 
 | 
 
 | 
 
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 | 
21
 | 
         $retval = sprintf( "%x", $array->[0] )   | 
| 
120
 | 
 
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 | 
 
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 | 
 
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     }  | 
| 
121
 | 
8
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 | 
22
 | 
     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
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     Random number generator for arbitrarily large integers.   | 
| 
132
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     Uses the Math::BigInt module to handle the generated values.  | 
| 
133
 | 
 
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 | 
 
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 | 
 
 | 
 
 | 
    | 
| 
134
 | 
 
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 | 
 
 | 
 
 | 
     This module exports a single function called random_bigint, which returns   | 
| 
135
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     a single random Math::BigInt number of the specified range or size.    | 
| 
136
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
137
 | 
 
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 | 
 
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 | 
 
 | 
 
 | 
    | 
| 
138
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 SYNOPSIS  | 
| 
139
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
140
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
   use Math::BigInt;  | 
| 
141
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
   use Math::BigInt::Random qw/ random_bigint /;  | 
| 
142
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
143
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
   print "random by max : ",  random_bigint( max => '10000000000000000000000000'), "\n",  | 
| 
144
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     "random by max and min : ",   | 
| 
145
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     random_bigint( min => '7000000000000000000000000', max => '10000000000000000000000000'), "\n",  | 
| 
146
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     "random by length (base 10): ",     | 
| 
147
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     random_bigint( length => 20 ), "\n",  | 
| 
148
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     "random by length (base 16) :",  | 
| 
149
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     random_bigint( length_hex => 1, length => 20)->as_hex, "\n";  | 
| 
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     "random by length (base 2) :",  | 
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     random_bigint( length_bin => 1, length => 319)->as_bin, "\n";  | 
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     "random from random.org" :",  | 
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     random_bigint( max => '3333333333333333000000000000000000000000',   | 
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       min => '3333333333333300000000000000000000000000', use_internet => 1);  | 
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158
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 =head1 FUNCTION ARGUMENTS  | 
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159
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160
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 =over 4  | 
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161
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 This module exports a single function called random_bigint, which returns   | 
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 a single random Math::BigInt of arbitrary size.    | 
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 Parameters to the function are given in paired hash style:  | 
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   max => $max,     | 
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     the maximum integer that can be returned.  Either the 'max' or the 'length'   | 
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     parameter is mandatory. If both max and length are given, only the 'max'   | 
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     parameter will be used. Note that the max must be >= 1.  | 
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   min => $min,     | 
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     which specifies the minimum integer that can be returned.    | 
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   length => $required_length,  | 
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     which specifies the number of digits (with most significant digit not 0).    | 
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     Note that if max is specified, length will be ignored.  However, if max is   | 
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     not specified, length is a required argument.  | 
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   length_hex => 1,  | 
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182
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     which specifies that, if length is used, the length is that of the base 16   | 
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     number, not the base 10 number which is the default for the length.  | 
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   length_bin => 1,  | 
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     which specifies that, if length is used, the length is that of the base 2   | 
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     number, not the base 10 number which is the default for the length. Note   | 
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     that, due to discarding half the possible random numbers due to random   | 
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     generation of a most significant place digit of 0, this method is about   | 
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     half as efficient as when an exact maximum and minimum are given instead.  | 
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   use_internet => 1,  | 
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      which specifies that the random.org website will be used for random   | 
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      number generation.  Note this is NOT secure, since anyone monitoring  | 
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      the connnection might be able to read the numbers that are received.  | 
| 
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      It is quite random, however.  | 
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197
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| 
198
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 =back  | 
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199
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| 
200
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 =head2 Class Internal Methods and Functions  | 
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201
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    | 
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202
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 =over 4  | 
| 
203
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| 
204
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 =item assemble_digits  | 
| 
205
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    | 
| 
206
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 =item bigint_rand  | 
| 
207
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| 
208
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 =item get_random_hex_digits  | 
| 
209
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| 
210
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 =item get_random_org_digits  | 
| 
211
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    | 
| 
212
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 =item random_bigint  | 
| 
213
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       | 
| 
214
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 =back  | 
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215
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    | 
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216
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 =head1 AUTHOR  | 
| 
217
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    | 
| 
218
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 William Herrera (wherrera@skylightview.com)  | 
| 
219
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    | 
| 
220
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 =head1 COPYRIGHT  | 
| 
221
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    | 
| 
222
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   Copyright (C) 2007 William Hererra.  All Rights Reserved.  | 
| 
223
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    | 
| 
224
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   This module is free software; you can redistribute it and/or modify it  | 
| 
225
 | 
 
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 | 
   under the same terms as Perl itself.  | 
| 
226
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    | 
| 
227
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    | 
| 
228
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 =cut  | 
| 
229
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    | 
| 
230
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 1;  |