|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
 code  | 
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1
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 package Math::nSphere;  | 
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2
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3
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 our $VERSION = '0.01';  | 
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4
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5
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1
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1
  
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624
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 use strict;  | 
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1
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2
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1
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30
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6
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1
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1
  
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5
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 use warnings;  | 
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1
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2
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    | 
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1
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22
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    | 
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7
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1
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1
  
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5
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 use Carp;  | 
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1
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5
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1
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84
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8
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9
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1
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1
  
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5
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 use Exporter qw(import);  | 
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1
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1
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1
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392
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10
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 our @EXPORT_OK = qw(nsphere_surface nsphere_volumen);  | 
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11
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12
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 my $PI = 3.14159265358979323846264338327950288419716939937510;  | 
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13
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14
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 my @S = ( 0 , 2 * $PI , 4 * $PI );  | 
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15
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 my @V = ( 0 ,       2 ,     $PI , 4 / 3 * $PI );  | 
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16
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17
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 sub nsphere_surface {  | 
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18
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30
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30
  
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1
  
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6983
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     my ($n, $r) = @_;  | 
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19
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30
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39
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     my $S = $S[$n];  | 
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20
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30
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100
  
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53
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     unless (defined $S) {  | 
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21
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2
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3
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         $n = int $n;  | 
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22
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2
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 50
  
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6
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         $n >= 0 or croak "index out of range";  | 
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23
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2
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1
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         my $i = $n;  | 
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24
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2
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25
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         $i -= 2 until defined $S[$i];  | 
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25
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2
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3
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         $S = $S[$i];  | 
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26
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2
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6
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         while ($i < $n) {  | 
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27
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29
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25
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             $i += 2;  | 
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28
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29
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53
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             $S[$i] = $S = 2 * $PI * $S / ($i - 1);  | 
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29
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         }  | 
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30
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     };  | 
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31
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30
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 50
  
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100
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     return $S unless defined $r;  | 
| 
32
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0
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0
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     $r ** $n * $S;  | 
| 
33
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 }  | 
| 
34
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    | 
| 
35
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 sub nsphere_volumen {  | 
| 
36
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39
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39
  
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1
  
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56
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     my ($n, $r) = @_;  | 
| 
37
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39
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45
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     my $V = $V[$n];  | 
| 
38
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39
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100
  
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72
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     unless (defined $V) {  | 
| 
39
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7
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11
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         $n = int $n;  | 
| 
40
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7
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 50
  
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13
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         $n >= 0 or croak "index out of range";  | 
| 
41
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7
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10
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         my $i = $n;  | 
| 
42
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7
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37
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         $i -= 2 until defined $V[$i];  | 
| 
43
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7
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9
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         $V = $V[$i];  | 
| 
44
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7
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14
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         while ($i < $n) {  | 
| 
45
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27
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22
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             $i += 2;  | 
| 
46
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27
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62
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             $V[$i] = $V = 2 * $PI * $V / $i;  | 
| 
47
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         }  | 
| 
48
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     };  | 
| 
49
 | 
39
 | 
  
 50
  
 | 
 
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 | 
207
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     return $V unless defined $r;  | 
| 
50
 | 
0
 | 
 
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     $r ** ($n + 1) * $V;  | 
| 
51
 | 
 
 | 
 
 | 
 
 | 
 
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 | 
 
 | 
 }  | 
| 
52
 | 
 
 | 
 
 | 
 
 | 
 
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 | 
    | 
| 
53
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 | 
 
 | 
 
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 1;  | 
| 
54
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 __END__  |