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package Algorithm::Bitonic::Sort; |
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24521
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use utf8; |
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use feature 'say'; |
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142
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use common::sense; |
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use constant DEBUG => $ENV{ALGORITHM_BITONIC_SORT_DEBUG}; |
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if (DEBUG) { |
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require Data::Dumper::Simple; |
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} |
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our (@ISA, @EXPORT); |
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BEGIN { |
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require Exporter; |
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@ISA = qw(Exporter); |
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2
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1465
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@EXPORT = qw(bitonic_sort); # symbols to export on request |
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} |
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# "A supercomputer is a device for turning compute-bound problems into I/O-bound problems." |
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=encoding utf8 |
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=head1 NAME |
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24
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25
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Algorithm::Bitonic::Sort - Sorting numbers with Bitonic Sort |
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27
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=head1 VERSION |
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29
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Version 0.06 |
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31
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=cut |
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32
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33
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our $VERSION = '0.06'; |
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35
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36
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=head1 SYNOPSIS |
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38
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Use L with the following style. |
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39
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40
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use Algorithm::Bitonic::Sort; |
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41
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42
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my @sample = (1,4,8,4,4365,2,67,33,345); |
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43
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my @result_inc = bitonic_sort( 1 ,@sample); # incremental |
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44
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my @result_dec = bitonic_sort( 0 ,@sample); # decremental |
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45
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46
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=head1 DESCRIPTION |
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47
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48
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Bitonic mergesort is a parallel algorithm for sorting. It is also used as a construction method for building a sorting network. |
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49
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This is an Perl 5 implementation of Ken Batcher's Bitonic mergesort. |
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50
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51
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=head1 Limitation |
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52
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53
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This is a enhanced version of Bitonic Sort which removed the limitation of original version. |
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54
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This module supports any amount of numbers. |
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55
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56
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The original Bitonic can only sort N numbers, which N is a power of 2. |
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57
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58
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59
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=head1 EXPORT |
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60
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61
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bitonic_sort |
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62
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63
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64
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=head1 SUBROUTINES |
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65
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66
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=head2 bitonic_sort |
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67
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68
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The First Parameter works as the ascending/decreasing selector. |
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69
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True (1 or any true value) means ascending (incremental), |
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70
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False (0 or any false value) means decreasing. |
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71
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72
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All other params will be treated as members/items to be sorted. |
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73
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74
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75
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=cut |
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76
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77
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sub bitonic_sort { |
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78
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30
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30
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1
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350
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my $up = shift; |
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79
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30
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16
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say '#### Sort: '.Dumper(@_) if DEBUG; |
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80
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81
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30
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100
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46
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return @_ if int @_ <= 1; |
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82
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83
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14
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100
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19
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my $single_bit = shift @_ if @_ % 2; |
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84
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14
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100
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21
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$single_bit //= 'NA'; |
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85
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86
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14
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8
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say Dumper $single_bit if DEBUG; |
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87
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88
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14
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13
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my @num = @_; |
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89
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14
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31
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my @first = bitonic_sort( 1, @num[0..(@num /2 -1)] ); |
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90
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14
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23
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my @second = bitonic_sort( 0, @num[(@num /2)..(@num -1)] ); |
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91
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92
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14
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17
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return _bitonic_merge( $up, $single_bit, @first, @second ); |
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93
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} |
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94
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95
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sub _bitonic_merge { |
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96
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82
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82
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48
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my $up = shift; |
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97
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82
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42
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say '#### Merge: '.Dumper(@_) if DEBUG; |
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98
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99
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82
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54
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my $single_bit = shift; |
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100
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82
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36
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say Dumper $single_bit if DEBUG; |
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101
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102
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# assume input @num is bitonic, and sorted list is returned |
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103
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82
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100
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114
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return @_ if int @_ == 1; |
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104
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105
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34
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50
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42
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my $single_bit_2 = shift @_ if @_ % 2; |
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106
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34
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100
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41
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$single_bit_2 //= 'NA'; |
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107
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108
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34
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27
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my @num = @_; |
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109
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34
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33
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@num = _bitonic_compare( $up, @num ); |
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110
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111
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34
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54
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my @first = _bitonic_merge( $up, 'NA', @num[0..(@num /2 -1)] ); |
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112
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34
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46
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my @second = _bitonic_merge( $up, 'NA', @num[(@num /2)..(@num -1)] ); |
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113
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114
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34
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30
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@num = (@first, @second); |
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115
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34
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100
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54
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@num = _some_sorting_algorithm( $up, $single_bit, @first, @second ) if $single_bit ne 'NA'; |
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116
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34
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50
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39
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@num = _some_sorting_algorithm( $up, $single_bit_2, @first, @second ) if $single_bit_2 ne 'NA'; |
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117
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118
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34
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20
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say "#####\n# Merge Result\n#####\n".Dumper(@num) if DEBUG; |
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119
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120
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34
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47
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return (@num); |
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121
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} |
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122
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123
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sub _bitonic_compare { |
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124
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34
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34
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23
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my $up = shift; |
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125
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34
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16
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say '#### Compare: '.Dumper(@_) if DEBUG; |
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126
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34
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27
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my @num = @_; |
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127
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128
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34
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30
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my $dist = int @num /2; |
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129
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#~ |
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130
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34
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34
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for my $i (0..$dist-1) { |
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131
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48
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20
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say "i=$i, dist=$dist, $num[$i] > $num[$i+$dist]) == $up" if DEBUG; |
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132
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48
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100
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64
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if ( ($num[$i] > $num[$i+$dist]) == $up ) { |
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133
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26
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21
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say "Swapping....." if DEBUG; |
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134
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26
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31
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($num[$i], $num[$i+$dist]) = ($num[$i+$dist], $num[$i]); #swap |
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135
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} |
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136
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} |
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137
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#~ for my $i (0..(int @$first)) { |
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138
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#~ if ( ($first->[$i] > $second->[$i]) == $up ) { |
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139
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#~ ($first->[$i], $second->[$i]) = ($second->[$i], $first->[$i]); #swap |
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140
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#~ } |
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141
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#~ } |
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142
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143
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34
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19
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say 'Compared result:'.Dumper(@num) if DEBUG; |
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144
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34
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60
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return @num; |
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145
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#~ return ($first, $second); |
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146
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} |
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147
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148
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149
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sub _some_sorting_algorithm { |
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150
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2
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2
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3
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my $up = shift; |
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151
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2
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1
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my $single_bit = shift; |
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152
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2
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14
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my @num = @_; |
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153
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2
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2
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my @num_new; |
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154
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155
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2
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1
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say "_SOME_SORTING_ALGORITHM: INPUT: ".Dumper(@num) if DEBUG; |
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156
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157
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2
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5
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while (my $curr = shift @num) { |
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158
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9
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2
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say "_SOME_SORTING_ALGORITHM: for: ".Dumper($curr, $single_bit, @num) if DEBUG; |
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159
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9
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100
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66
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27
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if ($up and $single_bit < $curr) { |
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50
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33
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160
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1
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2
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push @num_new, $single_bit; |
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161
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1
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1
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push @num_new, $curr; |
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162
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1
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1
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say "Return earlier, up is ".($up or '0').':'.Dumper(@num_new, @num) if DEBUG; |
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163
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1
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4
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return (@num_new, @num); |
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164
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} elsif ($single_bit > $curr and not $up) { |
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165
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0
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0
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push @num_new, $single_bit; |
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166
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0
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0
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push @num_new, $curr; |
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167
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0
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0
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say "Return earlier, up is ".($up or '0').':'.Dumper(@num_new, @num) if DEBUG; |
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168
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0
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0
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return (@num_new, @num) |
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169
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} else { |
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170
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8
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14
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push @num_new, $curr; |
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171
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} |
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172
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} |
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173
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174
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1
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1
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push @num_new, $single_bit; |
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175
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1
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1
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say "Return normal, ".Dumper(@num_new, @num) if DEBUG; |
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176
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1
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3
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return @num_new; |
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177
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} |
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178
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179
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=head1 AUTHOR |
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180
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181
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BlueT - Matthew Lien - 練喆明, C<< >> |
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182
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183
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184
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=head1 INSTALLATION |
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185
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186
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To install this module, run the following commands: |
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187
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188
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perl Makefile.PL |
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189
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make |
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190
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make test |
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191
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make install |
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192
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193
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Or install with cpanm |
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194
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195
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cpanm Algorithm::Bitonic::Sort |
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196
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197
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198
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=head1 BUGS |
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Please report any bugs or feature requests to CPAN ( C, L ) or GitHub (L). |
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I will be notified, and then you'll automatically be notified of progress on your bug as I make changes. |
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=head1 SUPPORT |
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You can find documentation for this module with the perldoc command. |
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perldoc Algorithm::Bitonic::Sort |
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You can also look for information at: |
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=over 4 |
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=item * RT: CPAN's request tracker (report bugs here) |
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L |
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=item * AnnoCPAN: Annotated CPAN documentation |
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L |
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=item * CPAN Ratings |
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L |
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=item * Search CPAN |
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L |
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=item * Launchpad |
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L |
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=item * GitHub |
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241
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=back |
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=head1 ACKNOWLEDGEMENTS |
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=head1 SEE ALSO |
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=over 4 |
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250
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=item * Batcher's web page at Kent State University |
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254
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=item * Bitonic sorter on Wikipedia |
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L |
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=back |
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=head1 LICENSE AND COPYRIGHT |
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262
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Copyright 2012-2017 BlueT - Matthew Lien - 練喆明. |
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This program is free software; you can redistribute it and/or modify it |
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under the terms of either: the GNU General Public License as published |
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by the Free Software Foundation; or the Artistic License. |
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See http://dev.perl.org/licenses/ for more information. |
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=cut |
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1; # End of Algorithm::Bitonic::Sort |