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package Math::Wavelet::Haar; |
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3
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20739
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use 5.005005; |
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30
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use strict; |
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29
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5
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use warnings; |
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1
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34
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6
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1
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1
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1093
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use Storable qw(dclone); |
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3760
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1
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1082
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8
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9
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require Exporter; |
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our @ISA = qw(Exporter); |
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# Items to export into callers namespace by default. Note: do not export |
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# names by default without a very good reason. Use EXPORT_OK instead. |
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# Do not simply export all your public functions/methods/constants. |
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17
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# This allows declaration use Wavelet::Haar ':all'; |
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# If you do not need this, moving things directly into @EXPORT or @EXPORT_OK |
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# will save memory. |
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our %EXPORT_TAGS = ( 'all' => [ qw( |
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transform1D |
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transform2D |
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detransform1D |
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detransform2D |
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) ] ); |
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27
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } ); |
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29
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our @EXPORT = qw( |
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); |
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32
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our $VERSION = '0.06'; |
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34
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# Preloaded methods go here. |
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36
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sub transform1D |
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37
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{ |
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38
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18
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18
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1
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775
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my @input=@_; |
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39
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18
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50
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39
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return if (!is_power2(scalar(@input))); |
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18
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52
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my @output=(0)x@_; |
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41
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42
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27
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my $length=@input>>1; |
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44
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18
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27
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for (; ; $length >>= 1) { |
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#length=2^n, WITH DECREASING n |
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47
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38
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75
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for my $i (0..$length-1) |
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48
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{ |
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62
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117
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my $sum = $input[$i*2]+$input[$i*2+1]; |
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62
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105
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my $difference = $input[$i*2]-$input[$i*2+1]; |
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62
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70
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$output[$i] = $sum; |
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62
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132
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$output[$length+$i] = $difference; |
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53
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} |
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100
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return @output if ($length == 1) ; |
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55
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56
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#//Swap arrays to do next iteration |
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57
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20
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101
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@input[0..$length*2]=@output[0..$length*2]; |
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58
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} |
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59
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} |
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60
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61
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sub is_power2 |
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62
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{ |
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63
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40
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50
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40
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0
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246
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$_[0] && ($_[0]-1&$_[0] ) == 0 |
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64
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} |
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65
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66
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sub transform2D |
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67
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{ |
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68
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2
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2
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1
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3137
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my @input = @{dclone(\@_)}; |
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2
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211
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69
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70
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2
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8
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my $length = @_; |
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71
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72
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2
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4
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my $width = @{$input[0]}; |
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2
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4
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73
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2
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50
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8
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return if (!is_power2($width)); |
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74
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2
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9
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for (1..$length-1) |
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75
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{ |
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76
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6
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9
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return if (@{$input[$_]} != $width); |
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6
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25
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77
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} |
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78
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79
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#do the X direction |
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80
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2
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8
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for (0..$length-1) |
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81
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{ |
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82
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8
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10
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@{$input[$_]} = transform1D(@{$input[$_]}); |
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8
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30
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8
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24
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83
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} |
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84
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85
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2
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8
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for my $i (0..$width-1) |
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86
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{ |
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87
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8
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15
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my @col = map { $_->[$i] } @input; |
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32
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63
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88
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89
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8
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22
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@col = transform1D(@col); |
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90
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91
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8
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21
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for my $l (0..$#col) |
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92
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{ |
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93
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32
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64
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$input[$l]->[$i] = $col[$l]; |
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94
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} |
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95
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} |
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96
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97
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2
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13
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return @input; |
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98
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} |
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99
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100
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sub detransform1D |
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101
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{ |
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102
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18
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18
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1
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2705
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my @input=@_; |
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103
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18
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50
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34
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return if (!is_power2(scalar(@input))); |
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104
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18
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36
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my @output=@input; |
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105
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106
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18
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25
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my $length=1; |
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107
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108
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18
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41
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for (; $length<=@input>>1; $length <<= 1) |
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109
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{ |
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110
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38
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117
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for my $i (0..$length-1) |
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111
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{ |
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112
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62
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96
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my $x = ($input[$i] + $input[$i+$length])/2; |
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113
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62
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83
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my $y = ($input[$i] - $input[$i+$length])/2; |
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114
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62
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71
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$output[$i*2] = $x; |
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115
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62
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120
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$output[$i*2+1] = $y; |
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116
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} |
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117
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#//Swap arrays to do next iteration |
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118
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131
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@input = @output; |
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119
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} |
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120
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121
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18
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59
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return @input; |
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122
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} |
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123
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124
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sub detransform2D |
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125
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{ |
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126
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2
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2
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1
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2275
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my @input = @{dclone(\@_)}; |
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2
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173
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127
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2
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8
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my $length = @_; |
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128
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129
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2
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4
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my $width = @{$input[0]}; |
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2
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5
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130
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2
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50
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566
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return if (!is_power2($width)); |
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131
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2
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9
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for (1..$length-1) |
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132
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{ |
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133
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6
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50
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6
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return if (@{$input[$_]} != $width); |
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6
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19
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134
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} |
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135
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136
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#do the X direction |
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137
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2
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6
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for (0..$length-1) |
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138
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{ |
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139
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8
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10
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@{$input[$_]} = detransform1D(@{$input[$_]}); |
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8
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27
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8
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16
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140
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} |
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141
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142
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2
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5
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for my $i (0..$width-1) |
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143
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{ |
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144
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8
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12
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my @col = map { $_->[$i] } @input; |
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32
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51
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145
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146
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8
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15
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@col = detransform1D(@col); |
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147
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148
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8
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16
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for my $l (0..$#col) |
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149
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{ |
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150
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32
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54
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$input[$l]->[$i] = $col[$l]; |
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151
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} |
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152
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} |
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153
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154
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2
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10
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return @input; |
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155
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} |
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156
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157
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# Autoload methods go after =cut, and are processed by the autosplit program. |
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158
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159
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1; |
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160
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__END__ |