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 package Math::Random::Free;  | 
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 # ABSTRACT: Free drop-in replacement for Math::Random  | 
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 our $VERSION = '0.2.0'; # VERSION  | 
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 =pod  | 
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 =head1 NAME  | 
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 Math::Random::Free - free drop-in replacement for Math::Random  | 
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 =head1 DESCRIPTION  | 
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 This is free (see below) implementation of L  | 
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 0.72, serving as drop-in replacement for this module.  | 
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 =head1 MOTIVATION  | 
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 L is a great and widely-used module for the  | 
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 generation of random numbers and permutations. Despite being open-source,  | 
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 L does not fulfill free open-source software  | 
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 definitions as established by the Open Source Initiative  | 
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 (L) and the Debian Project  | 
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 (L, a.k.a. DFSG). This  | 
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 is mostly because C code cannot be copied nor distributed for  | 
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 direct commercial advantage. Math::Random::Free is created to free the  | 
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 code depending on L from these limitations.  | 
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 =cut  | 
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 use Digest::SHA qw( sha1_hex );  | 
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 use List::Util qw( shuffle );  | 
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 require Exporter;  | 
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 our @ISA = qw(Exporter);  | 
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 our @EXPORT = qw(  | 
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     random_normal  | 
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     random_permutation  | 
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     random_permuted_index  | 
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     random_set_seed_from_phrase  | 
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 );  | 
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 our @EXPORT_OK = qw(  | 
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     random_exponential  | 
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     random_normal  | 
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     random_permutation  | 
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49
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     random_permuted_index  | 
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     random_set_seed_from_phrase  | 
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     random_uniform  | 
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     random_uniform_integer  | 
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 );  | 
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 our $PI = 4 * atan2( 1, 1 );  | 
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 =head1 SUPPORT  | 
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     our @EXPORT = qw(  | 
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         random_normal  | 
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         random_permutation  | 
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61
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         random_permuted_index  | 
| 
62
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         random_set_seed_from_phrase  | 
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63
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     );  | 
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     our @EXPORT_OK = qw(  | 
| 
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         random_exponential  | 
| 
66
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         random_normal  | 
| 
67
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         random_permutation  | 
| 
68
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         random_permuted_index  | 
| 
69
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         random_set_seed_from_phrase  | 
| 
70
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         random_uniform  | 
| 
71
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         random_uniform_integer  | 
| 
72
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     );  | 
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    | 
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 =cut  | 
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 sub random_exponential  | 
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 {  | 
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2
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     my( $n, $rate ) = @_;  | 
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2
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     $n    = 1 unless defined $n;  | 
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2
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 50
  
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5
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     $rate = 1 unless defined $rate;  | 
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2
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 50
  
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     if( wantarray ) {  | 
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         return map { scalar random_exponential( $n, $rate ) } 1..$n;  | 
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0
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85
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     } else {  | 
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86
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2
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         return log( 1 - rand ) / -$rate;  | 
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87
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     }  | 
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88
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 }  | 
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89
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90
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 sub random_normal  | 
| 
91
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 {  | 
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92
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12
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12
  
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0
  
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28
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     my( $n, $mean, $sd ) = @_;  | 
| 
93
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    | 
| 
94
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12
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 50
  
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23
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     $n    = 1 unless defined $n;  | 
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95
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12
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100
  
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22
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     $mean = 0 unless defined $mean;  | 
| 
96
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12
 | 
  
100
  
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20
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     $sd   = 1 unless defined $sd;  | 
| 
97
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    | 
| 
98
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12
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100
  
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22
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     if( wantarray ) {  | 
| 
99
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2
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4
 | 
         return map { scalar random_normal( $n, $mean, $sd ) } 1..$n;  | 
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10
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24
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    | 
| 
100
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     } else {  | 
| 
101
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         # Box-Muller method  | 
| 
102
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10
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100
 | 
         return $mean + $sd * cos( 2 * $PI * (1 - rand) )  | 
| 
103
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                            * sqrt( -2 * log(1 - rand) );  | 
| 
104
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     }  | 
| 
105
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 }  | 
| 
106
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    | 
| 
107
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 sub random_permutation  | 
| 
108
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 {  | 
| 
109
 | 
2
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2
  
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0
  
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14
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     my( @array ) = @_;  | 
| 
110
 | 
2
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7
 | 
     return @array[random_permuted_index( scalar @array )];  | 
| 
111
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 }  | 
| 
112
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    | 
| 
113
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 sub random_permuted_index  | 
| 
114
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 {  | 
| 
115
 | 
2
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2
  
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0
  
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3
 | 
     my( $n ) = @_;  | 
| 
116
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    | 
| 
117
 | 
2
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23
 | 
     return shuffle 0..$n-1;  | 
| 
118
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 }  | 
| 
119
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    | 
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120
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 sub random_set_seed_from_phrase  | 
| 
121
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 {  | 
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122
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8
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8
  
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0
  
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2660
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     my( $seed ) = @_;  | 
| 
123
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    | 
| 
124
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     # On 64-bit machine the max. value for srand() seems to be 2**50-1  | 
| 
125
 | 
8
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 | 
63
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     srand hex substr( sha1_hex( $seed ), 0, 6 );  | 
| 
126
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 }  | 
| 
127
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    | 
| 
128
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 sub random_uniform  | 
| 
129
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 {  | 
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130
 | 
  
0
  
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0
  
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0
  
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0
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     my( $n, $low, $high ) = @_;  | 
| 
131
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132
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0
  
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  0
  
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0
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     $n    = 1 unless defined $n;  | 
| 
133
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0
  
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  0
  
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0
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     $low  = 0 unless defined $low;  | 
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134
 | 
  
0
  
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  0
  
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0
 | 
     $high = 1 unless defined $high;  | 
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135
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    | 
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136
 | 
  
0
  
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  0
  
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0
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     if( wantarray ) {  | 
| 
137
 | 
  
0
  
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0
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         return map { rand() * ($high - $low) + $low } 1..$n;  | 
| 
 
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0
  
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 | 
0
 | 
    | 
| 
138
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     } else {  | 
| 
139
 | 
  
0
  
 | 
 
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 | 
0
 | 
         return rand() * ($high - $low) + $low;  | 
| 
140
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     }  | 
| 
141
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 }  | 
| 
142
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    | 
| 
143
 | 
 
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 sub random_uniform_integer  | 
| 
144
 | 
 
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 | 
 {  | 
| 
145
 | 
2
 | 
 
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 | 
  
2
  
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0
  
 | 
11
 | 
     my( $n, $low, $high ) = @_;  | 
| 
146
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    | 
| 
147
 | 
2
 | 
 
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 | 
5
 | 
     my $range = int($high) - int($low) + 1;  | 
| 
148
 | 
 
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    | 
| 
149
 | 
2
 | 
  
 50
  
 | 
 
 | 
 
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 | 
7
 | 
     if( wantarray ) {  | 
| 
150
 | 
  
0
  
 | 
 
 | 
 
 | 
 
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 | 
0
 | 
         return map { int( rand($range) + $low ) } 1..$n;  | 
| 
 
 | 
0
 | 
 
 | 
 
 | 
 
 | 
 
 | 
0
 | 
    | 
| 
151
 | 
 
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     } else {  | 
| 
152
 | 
2
 | 
 
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 | 
11
 | 
         return int( rand($range) + $low );  | 
| 
153
 | 
 
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     }  | 
| 
154
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 }  | 
| 
155
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 | 
 
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    | 
| 
156
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 | 
 
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 =head1 CAVEATS  | 
| 
157
 | 
 
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 | 
 
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    | 
| 
158
 | 
 
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 | 
 
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 | 
 
 | 
 
 | 
 This module has only a subset of L subroutines  | 
| 
159
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 (contributions welcome), implemented using either Perl core subroutines  | 
| 
160
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 or other well-known modules. Thus Math::Random::Free is neither as  | 
| 
161
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 complete, nor as fast, nor as random as L.  | 
| 
162
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Also Math::Random::Free does not aim for cryptographic security.  | 
| 
163
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
164
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 While Math::Random::Free supports seed setting, it does that differently  | 
| 
165
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 from L. It means that one should not expect  | 
| 
166
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 the same seed producing identical random sequences in both modules.  | 
| 
167
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
168
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 As Math::Random::Free employs L for producing  | 
| 
169
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 random permutations, these are influenced by C<$List::Util::RAND>  | 
| 
170
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 variable.  | 
| 
171
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
172
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 TESTED WITH  | 
| 
173
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
174
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =over 4  | 
| 
175
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
176
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item *  | 
| 
177
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
178
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 L 0.02  | 
| 
179
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
180
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =back  | 
| 
181
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
182
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 AUTHOR  | 
| 
183
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
184
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Andrius Merkys, L  | 
| 
185
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
186
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
187
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
188
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 1;  |