|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
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 package Crypt::SSSS;  | 
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 use strict;  | 
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 use warnings;  | 
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 our $VERSION = 0.3;  | 
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7
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 require Exporter;  | 
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9
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10
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 our @ISA    = qw(Exporter);  | 
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11
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 our @EXPORT = qw(ssss_distribute ssss_reconstruct);  | 
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13
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1
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1
  
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827
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 use POSIX qw(ceil pow);  | 
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1
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7259
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11
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14
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1
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1
  
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2091
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 use Crypt::SSSS::Message;  | 
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1
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3
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1
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837
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15
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16
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 require Carp;  | 
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17
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18
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 sub ssss_distribute(%) {  | 
| 
19
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4
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4
  
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1
  
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954
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     my (%data) = @_;  | 
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20
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| 
21
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4
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 50
  
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14
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     my $message = $data{message} or Carp::croak 'Missed "message" argument';  | 
| 
22
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23
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4
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 50
  
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12
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     my $k = $data{k} or Carp::croak 'Missed "k" argument';  | 
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24
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4
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 66
  
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19
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     my $n = $data{n} || $k;  | 
| 
25
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    | 
| 
26
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4
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 50
  
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10
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     my $p = $data{p} || 257;  | 
| 
27
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28
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4
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7
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     my $shares = {};  | 
| 
29
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30
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4
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10
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     for my $x (1 .. $n) {  | 
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31
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16
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47
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         $shares->{$x} = Crypt::SSSS::Message->new(p => $p);  | 
| 
32
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     }  | 
| 
33
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    | 
| 
34
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4
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7
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     my $chunks;  | 
| 
35
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4
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 50
  
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13
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     if (my $ref = ref $message) {  | 
| 
36
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0
  
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  0
  
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0
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         Carp::croak qw/"message" has unsupported type "$ref"/  | 
| 
37
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           unless $ref eq 'Crypt::SSSS::Message';  | 
| 
38
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    | 
| 
39
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0
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0
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         $chunks = $message->get_data;  | 
| 
40
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     }  | 
| 
41
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     else {  | 
| 
42
 | 
4
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100
  
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28
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         $chunks = [unpack (($data{pack_size} || 'C') . '*', $message)];  | 
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43
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     }  | 
| 
44
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4
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13
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     while (@$chunks) {  | 
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45
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5
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16
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         my @a = splice @$chunks, 0, $k;  | 
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46
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    | 
| 
47
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5
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11
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         for my $x (1 .. $n) {  | 
| 
48
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    | 
| 
49
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20
 | 
 
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25
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             my $res = 0;  | 
| 
50
 | 
20
 | 
 
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37
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             for my $pow (0 .. $k - 1) {  | 
| 
51
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68
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 50
  
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1750
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                 $res += ($a[$pow] || 0) * pow($x, $pow);  | 
| 
52
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53
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             }  | 
| 
54
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| 
55
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             # print "$x → ", $res % $p, "\n";  | 
| 
56
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20
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153
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             $shares->{$x}->push_data($res % $p);  | 
| 
57
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         }  | 
| 
58
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     }  | 
| 
59
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| 
60
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4
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21
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     $shares;  | 
| 
61
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 }  | 
| 
62
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    | 
| 
63
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 sub ssss_reconstruct(%) {  | 
| 
64
 | 
4
 | 
 
 | 
 
 | 
  
4
  
 | 
  
1
  
 | 
14
 | 
     my (%data) = @_;  | 
| 
65
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    | 
| 
66
 | 
4
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 | 
6
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     my $shares = $data{shares};  | 
| 
67
 | 
4
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 | 
  
 50
  
 | 
 
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 | 
11
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     my $p = $data{p} || '257';  | 
| 
68
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    | 
| 
69
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4
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 | 
14
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     my @xs = keys %$shares;  | 
| 
70
 | 
4
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7
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     my $k = @xs;  | 
| 
71
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    | 
| 
72
 | 
4
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 | 
7
 | 
     my %mdata;  | 
| 
73
 | 
4
 | 
 
 | 
 
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 | 
 
 | 
6
 | 
     foreach my $x (@xs) {  | 
| 
74
 | 
 
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         $mdata{$x} =  | 
| 
75
 | 
13
 | 
 
 | 
 
 | 
 
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 | 
42
 | 
           Crypt::SSSS::Message->build_from_binary($p, $shares->{$x})  | 
| 
76
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           ->get_data;  | 
| 
77
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     }  | 
| 
78
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    | 
| 
79
 | 
4
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 | 
  
 66
  
 | 
 
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 | 
13
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     my $size = $data{size} || @{(values %mdata)[0]};  | 
| 
80
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    | 
| 
81
 | 
4
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 | 
5
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     my $message = '';  | 
| 
82
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    | 
| 
83
 | 
4
 | 
 
 | 
  
100
  
 | 
 
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 | 
17
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     my $pack_size = $data{pack_size} || 'C';  | 
| 
84
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 | 
 
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 | 
 
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 | 
    | 
| 
85
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     for (my $l = 0; $l < $size; $l++) {  | 
| 
86
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8
 | 
         my @fx = ();  | 
| 
87
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
9
 | 
         for my $i (@xs) {  | 
| 
88
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
89
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             # Plynom  | 
| 
90
 | 
16
 | 
 
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 | 
20
 | 
             my @pl = (1);  | 
| 
91
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    | 
| 
92
 | 
 
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 | 
 
 | 
 
 | 
 
 | 
 
 | 
             # Divider  | 
| 
93
 | 
16
 | 
 
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 | 
 
 | 
 
 | 
17
 | 
             my $d = 1;  | 
| 
94
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
27
 | 
             for my $j (@xs) {  | 
| 
95
 | 
56
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
111
 | 
                 if ($j != $i) {  | 
| 
96
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
97
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
                     # Multiply polinoms  | 
| 
98
 | 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
65
 | 
                     my @opl = @pl;  | 
| 
99
 | 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
69
 | 
                     unshift @pl, 0;  | 
| 
100
 | 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
91
 | 
                     for (my $i = 0; $i < @opl; $i++) {  | 
| 
101
 | 
79
 | 
 
 | 
 
 | 
 
 | 
 
 | 
201
 | 
                         $pl[$i] += -$j * $opl[$i];  | 
| 
102
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
                     }  | 
| 
103
 | 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
85
 | 
                     $d *= $i - $j;  | 
| 
104
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
                 }  | 
| 
105
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             }  | 
| 
106
 | 
16
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
34
 | 
             $d += $p if $d < 0;  | 
| 
107
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
108
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
31
 | 
             my ($m) = extended_gcb($d, $p);  | 
| 
109
 | 
16
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
34
 | 
             $m += $p if $m < 0;  | 
| 
110
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
111
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
37
 | 
             while (@fx < @pl) {  | 
| 
112
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
35
 | 
                 push @fx, 0;  | 
| 
113
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             }  | 
| 
114
 | 
 
 | 
 
 | 
 
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 | 
 
 | 
    | 
| 
115
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             # Add our polynom (multiplied by constant)  | 
| 
116
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
40
 | 
             for (my $j = 0; $j < @pl; $j++) {  | 
| 
117
 | 
56
 | 
 
 | 
 
 | 
 
 | 
 
 | 
165
 | 
                 $fx[$j] += $m * $mdata{$i}->[$l] * $pl[$j];  | 
| 
118
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
             }  | 
| 
119
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         }  | 
| 
120
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
121
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
         for (@fx) {  | 
| 
122
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
             $_ %= $p;  | 
| 
123
 | 
16
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
36
 | 
             $_ += $p if $_ < 0;  | 
| 
124
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         }  | 
| 
125
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
126
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
17
 | 
         for (my $i = 0; $i < $k; $i++) {  | 
| 
127
 | 
16
 | 
 
 | 
 
 | 
 
 | 
 
 | 
51
 | 
             $message .= pack $pack_size, $fx[$i];  | 
| 
128
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         }  | 
| 
129
 | 
 
 | 
 
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 | 
 
 | 
 
 | 
 
 | 
     }  | 
| 
130
 | 
 
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 | 
 
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    | 
| 
131
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
33
 | 
     $message;  | 
| 
132
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
133
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
134
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub extended_gcb {  | 
| 
135
 | 
74
 | 
 
 | 
 
 | 
  
74
  
 | 
  
0
  
 | 
96
 | 
     my ($a, $b) = @_;  | 
| 
136
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
137
 | 
74
 | 
  
100
  
 | 
 
 | 
 
 | 
 
 | 
148
 | 
     return (1, 0) if $b == 0;  | 
| 
138
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
139
 | 
58
 | 
 
 | 
 
 | 
 
 | 
 
 | 
83
 | 
     my $q = int($a / $b);  | 
| 
140
 | 
58
 | 
 
 | 
 
 | 
 
 | 
 
 | 
64
 | 
     my $r = $a % $b;  | 
| 
141
 | 
58
 | 
 
 | 
 
 | 
 
 | 
 
 | 
100
 | 
     my ($s, $t) = extended_gcb($b, $r);  | 
| 
142
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
143
 | 
58
 | 
 
 | 
 
 | 
 
 | 
 
 | 
106
 | 
     return ($t, $s - $q * $t);  | 
| 
144
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
145
 | 
 
 | 
 
 | 
 
 | 
 
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 | 
 
 | 
    | 
| 
146
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 1;  | 
| 
147
 | 
 
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 __END__  |