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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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4
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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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7
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use warnings; |
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1
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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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8
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our @ISA = qw(Exporter); |
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9
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our @EXPORT = qw(random_bigint); |
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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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1
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6
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1
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82
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11
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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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12
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13
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sub random_bigint { |
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14
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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) = @_; |
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15
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6
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100
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28
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my $max = $args{max} || 0; |
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16
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6
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69
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$max = Math::BigInt->new($max); |
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17
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6
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378
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my ($length_hex) = $args{length_hex}; |
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18
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6
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12
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my ($length_bin) = $args{length_bin}; |
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19
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6
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10
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my ($use_internet) = $args{use_internet}; |
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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; |
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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; |
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24
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6
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100
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833
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if ( $max == 0 ) { |
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25
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3
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50
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320
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$required_length = $args{length} |
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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'; |
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28
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3
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4
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my $prefix = ''; |
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29
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3
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100
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52
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if ($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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$digit = 'f'; |
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31
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1
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3
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$prefix = '0x'; |
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32
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} |
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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'; |
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35
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1
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1
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$prefix = '0b'; |
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36
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} |
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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); |
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39
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} |
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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 = $args{min} || 0; |
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41
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6
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52
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$min = Math::BigInt->new($min); |
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42
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6
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292
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my $interval = $max - $min; |
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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; |
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44
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6
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887
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my $tries = 1000; |
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45
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6
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100
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16
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$tries *= 16 if $length_bin; |
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46
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6
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25
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for ( my $i = 0 ; $i < $tries ; ++$i ) { |
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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 = |
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48
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( $interval < 0xfffff and !$use_internet ) |
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49
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? Math::BigInt->new( int rand($interval) ) |
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50
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: bigint_rand($interval, $use_internet); |
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51
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6
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1205
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$rand_num += $min; |
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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; |
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53
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6
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174
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my $num_length_10 = length $rand_num; |
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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; |
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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; |
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56
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next |
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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 |
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59
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and $num_length_16 != $required_length; |
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60
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next |
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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 |
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63
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and $num_length_2 != $required_length; |
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64
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next |
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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 |
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67
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and !$length_bin |
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68
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and $num_length_10 != $required_length; |
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69
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6
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49
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return $rand_num; |
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70
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} |
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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"; |
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72
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0
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0
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return; |
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73
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} |
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74
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75
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sub bigint_rand { |
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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 ) = @_; |
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77
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4
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13
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my $as_hex = $max->as_hex(); |
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78
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4
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765
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my $len = length($as_hex); # include '0x' prefix |
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79
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4
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10
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my $bottom_quads = int( ( $len - 3 ) / 4 ); |
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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); |
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81
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4
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4
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my $num = '0x'; |
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82
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4
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50
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9
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if($use_internet) { |
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83
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0
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0
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$num .= get_random_org_digits(hex $top_quad_chunk, 1); |
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84
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0
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0
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$num .= get_random_org_digits(65535, $bottom_quads); |
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85
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} |
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86
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else { |
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87
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4
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14
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$num .= get_random_hex_digits(hex $top_quad_chunk, 1); |
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88
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4
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10
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$num .= get_random_hex_digits(65535, $bottom_quads); |
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89
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} |
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90
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4
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24
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return Math::BigInt->new($num); |
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91
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} |
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92
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93
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sub get_random_hex_digits { |
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94
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8
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8
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1
|
12
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my($max, $count) = @_; |
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95
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8
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50
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14
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return '' if $count < 1; |
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96
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8
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8
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my @digits; |
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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); |
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99
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} |
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100
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101
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sub get_random_org_digits { |
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102
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0
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0
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1
|
0
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my($max, $count) = @_; |
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103
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0
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0
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0
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return if $count < 1; |
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104
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0
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0
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require LWP::Simple; |
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105
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0
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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"; |
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106
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0
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0
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my $page = LWP::Simple::get($request); |
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107
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0
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0
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my @digits = split /\s+/, $page; |
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108
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0
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0
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foreach (@digits) { $_ ^= int rand($max) } |
|
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0
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0
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109
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0
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0
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return assemble_digits(\@digits); |
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110
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} |
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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
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11
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my $array = shift; |
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114
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8
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9
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my $retval; |
|
115
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8
|
100
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13
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if(scalar(@$array) > 1) { |
|
116
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3
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6
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foreach (@$array) { $retval .= sprintf( "%04x", $_ ) } |
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19
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31
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117
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} |
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118
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else { |
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119
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5
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21
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$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; |
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122
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} |
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123
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124
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125
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=head1 NAME |
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126
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127
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Math::BigInt::Random -- arbitrary sized random integers |
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128
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129
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=head1 DESCRIPTION |
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130
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131
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Random number generator for arbitrarily large integers. |
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132
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Uses the Math::BigInt module to handle the generated values. |
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133
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134
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This module exports a single function called random_bigint, which returns |
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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 |
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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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"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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"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 |
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159
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160
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=over 4 |
|
161
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|
162
|
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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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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' |
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171
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parameter will be used. Note that the max must be >= 1. |
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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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|
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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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|
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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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|
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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. |
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184
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185
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length_bin => 1, |
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186
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which specifies that, if length is used, the length is that of the base 2 |
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187
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number, not the base 10 number which is the default for the length. Note |
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188
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that, due to discarding half the possible random numbers due to random |
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189
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generation of a most significant place digit of 0, this method is about |
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190
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half as efficient as when an exact maximum and minimum are given instead. |
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191
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192
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use_internet => 1, |
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193
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which specifies that the random.org website will be used for random |
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194
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number generation. Note this is NOT secure, since anyone monitoring |
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195
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the connnection might be able to read the numbers that are received. |
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196
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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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202
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=over 4 |
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203
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204
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=item assemble_digits |
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205
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206
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=item bigint_rand |
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207
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208
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=item get_random_hex_digits |
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209
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210
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=item get_random_org_digits |
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211
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212
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=item random_bigint |
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213
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214
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=back |
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215
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216
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=head1 AUTHOR |
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217
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218
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William Herrera (wherrera@skylightview.com) |
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219
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220
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=head1 COPYRIGHT |
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221
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222
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Copyright (C) 2007 William Hererra. All Rights Reserved. |
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223
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224
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This module is free software; you can redistribute it and/or modify it |
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225
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under the same terms as Perl itself. |
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226
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227
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228
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=cut |
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229
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230
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1; |