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package Math::nSphere; |
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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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1
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22
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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 * $PI ); |
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16
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17
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sub nsphere_surface { |
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30
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30
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1
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6983
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my ($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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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 = $n; |
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2
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25
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$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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2
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6
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while ($i < $n) { |
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29
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25
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$i += 2; |
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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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} |
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}; |
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30
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50
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100
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return $S unless defined $r; |
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0
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0
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$r ** $n * $S; |
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33
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} |
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34
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35
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sub nsphere_volumen { |
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36
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39
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39
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1
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56
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my ($n, $r) = @_; |
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37
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39
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45
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my $V = $V[$n]; |
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38
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39
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100
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72
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unless (defined $V) { |
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7
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11
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$n = int $n; |
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40
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7
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50
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13
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$n >= 0 or croak "index out of range"; |
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41
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7
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10
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my $i = $n; |
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42
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7
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37
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$i -= 2 until defined $V[$i]; |
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7
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9
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$V = $V[$i]; |
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7
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14
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while ($i < $n) { |
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27
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22
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$i += 2; |
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46
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27
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62
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$V[$i] = $V = 2 * $PI * $V / $i; |
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47
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} |
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48
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}; |
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49
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39
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50
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207
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return $V unless defined $r; |
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50
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0
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$r ** ($n + 1) * $V; |
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51
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} |
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52
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53
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1; |
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54
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__END__ |