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package Math::SparseVector; |
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34454
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use 5.008005; |
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use strict; |
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use warnings; |
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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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# This allows declaration use Math::SparseVector ':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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) ] ); |
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } ); |
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our @EXPORT = qw( |
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); |
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our $VERSION = '0.03'; |
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29
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30
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use overload |
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31
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1
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7
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'++' => 'incr', |
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32
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'+' => 'add', |
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33
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1
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1
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3864
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'fallback' => undef; |
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1
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1172
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34
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35
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# sparse vector contructor |
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36
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# creates an empty sparse vector |
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37
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sub new |
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38
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{ |
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39
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8
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8
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0
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577
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my $class = shift; |
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40
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8
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13
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my $self = {}; |
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41
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8
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14
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bless($self,$class); |
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42
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8
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18
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return $self; |
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43
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} |
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44
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45
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# sets value at given index |
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46
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sub set |
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47
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{ |
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48
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46
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46
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0
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108
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my $self = shift; |
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49
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46
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39
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my $key = shift; |
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50
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46
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37
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my $value = shift; |
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51
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50
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33
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119
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if(!defined $key || !defined $value) |
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52
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{ |
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53
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0
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0
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print STDERR "Usage: vector->set(key,value)\n"; |
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54
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0
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0
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exit; |
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55
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} |
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56
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46
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50
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69
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if($value==0) |
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57
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{ |
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58
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0
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0
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print STDERR "Can not store 0 in the Math::SparseVector.\n"; |
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59
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0
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0
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exit; |
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60
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} |
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61
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46
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106
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$self->{$key} = $value; |
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62
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} |
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63
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64
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# returns value at given index |
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65
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sub get |
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66
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{ |
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67
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67
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67
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0
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68
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my $self = shift; |
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68
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67
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64
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my $key = shift; |
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69
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67
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50
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101
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if(!defined $key) |
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70
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{ |
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71
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0
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0
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print STDERR "Usage: vector->get(key)\n"; |
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72
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0
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0
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exit; |
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73
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} |
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74
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67
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50
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117
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if(defined $self->{$key}) |
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75
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{ |
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76
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67
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216
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return $self->{$key}; |
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77
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} |
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78
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0
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0
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return 0; |
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79
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} |
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80
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81
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# returns indices of non-zero values in sorted order |
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82
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sub keys |
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83
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{ |
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84
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24
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24
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0
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25
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my $self = shift; |
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85
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24
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25
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my @indices = keys %{$self}; |
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24
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132
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86
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24
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52
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my @sorted = sort {$a <=> $b} @indices; |
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176
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191
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87
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24
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66
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return @sorted; |
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88
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} |
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89
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90
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# returns 1 if the vector is empty |
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91
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sub isnull |
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92
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{ |
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93
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3
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3
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0
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373
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my $self = shift; |
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94
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3
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9
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my @indices = $self->keys; |
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95
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3
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100
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10
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if(scalar(@indices)==0) |
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96
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{ |
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97
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2
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9
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return 1; |
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98
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} |
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99
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1
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5
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return 0; |
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100
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} |
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101
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102
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# prints sparse vector |
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103
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sub print |
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104
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{ |
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105
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0
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0
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0
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0
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my $self = shift; |
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106
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0
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0
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foreach my $ind ($self->keys) |
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107
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{ |
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108
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0
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0
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print "$ind " . $self->get($ind) . " "; |
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109
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} |
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110
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0
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0
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print "\n"; |
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111
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} |
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112
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113
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# returns the equivalent string form |
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114
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sub stringify |
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115
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{ |
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116
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10
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10
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0
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233
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my $self = shift; |
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117
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10
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13
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my $str=""; |
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118
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10
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14
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foreach my $ind ($self->keys) |
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119
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{ |
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120
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49
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81
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$str.= "$ind " . $self->get($ind) . " "; |
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121
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} |
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122
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10
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14
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chop $str; |
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123
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10
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35
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return $str; |
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124
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} |
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125
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126
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# increments value at given index |
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127
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sub incr |
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128
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{ |
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129
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1
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1
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0
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2
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my $self = shift; |
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130
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1
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2
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my $key = shift; |
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131
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1
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50
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4
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if(!defined $key) |
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132
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{ |
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133
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0
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0
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print STDERR "Usage: vector->incr(key)\n"; |
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134
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0
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0
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exit; |
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135
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} |
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136
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1
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4
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$self->{$key}++; |
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137
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} |
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138
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139
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# adds 2 sparse vectors |
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140
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sub add |
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141
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{ |
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142
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2
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2
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0
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6
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my $self = shift; |
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143
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2
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3
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my $v2 = shift; |
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144
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2
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50
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8
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if(!defined $v2) |
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145
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{ |
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146
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0
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0
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print STDERR "Usage: v1->add(v2)\n"; |
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147
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0
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0
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exit; |
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148
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} |
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149
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2
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7
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foreach my $key ($v2->keys) |
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150
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{ |
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151
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13
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100
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22
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if(defined $self->{$key}) |
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152
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{ |
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153
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5
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6
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$self->{$key}+=$v2->get($key); |
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154
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} |
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155
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else |
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156
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{ |
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157
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8
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27
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$self->{$key}=$v2->get($key); |
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158
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} |
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159
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} |
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160
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} |
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161
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162
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# returns the norm |
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163
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sub norm |
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164
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{ |
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165
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2
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2
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0
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4
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my $self = shift; |
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166
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2
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3
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my $sum = 0; |
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167
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2
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3
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foreach my $key ($self->keys) |
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168
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{ |
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169
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12
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11
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my $value = $self->{$key}; |
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170
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12
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15
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$sum += $value ** 2; |
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171
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} |
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172
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2
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13
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return sqrt $sum; |
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173
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} |
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174
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175
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# normalizes given sparse vector |
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176
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sub normalize |
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177
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{ |
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178
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1
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1
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0
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1
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my $self = shift; |
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179
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1
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4
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my $vnorm = $self->norm; |
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180
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1
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50
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4
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if($vnorm != 0) |
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181
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{ |
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182
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1
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5
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$self->div($vnorm); |
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183
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} |
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184
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} |
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185
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186
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sub dot |
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187
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{ |
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188
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1
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1
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0
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4
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my $self = shift; |
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189
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1
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1
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my $v2 = shift; |
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190
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1
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50
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3
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if(!defined $v2) |
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191
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{ |
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192
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0
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0
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print STDERR "Usage: v1->dot(v2)\n"; |
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193
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0
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0
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exit; |
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194
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} |
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195
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1
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2
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my $dotprod = 0; |
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196
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197
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# optimize to do lesser comparisons by looping on |
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198
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# the smaller vector |
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199
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1
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50
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2
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if (scalar($v2->keys) < scalar($self->keys)) { |
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200
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# v2 is smaller |
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201
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1
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6
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foreach my $key ($v2->keys) |
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202
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{ |
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203
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5
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100
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12
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if(defined $self->{$key}) |
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204
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{ |
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205
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3
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5
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$dotprod += $v2->get($key) * $self->{$key}; |
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206
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} |
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207
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} |
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208
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} else { |
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209
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|
|
|
|
|
# self is smaller or equal to v2 |
|
210
|
0
|
|
|
|
|
0
|
foreach my $key ($self->keys) |
|
211
|
|
|
|
|
|
|
{ |
|
212
|
0
|
0
|
|
|
|
0
|
if(defined $v2->{$key}) |
|
213
|
|
|
|
|
|
|
{ |
|
214
|
0
|
|
|
|
|
0
|
$dotprod += $v2->get($key) * $self->{$key}; |
|
215
|
|
|
|
|
|
|
} |
|
216
|
|
|
|
|
|
|
} |
|
217
|
|
|
|
|
|
|
} |
|
218
|
|
|
|
|
|
|
|
|
219
|
1
|
|
|
|
|
3
|
return $dotprod; |
|
220
|
|
|
|
|
|
|
} |
|
221
|
|
|
|
|
|
|
|
|
222
|
|
|
|
|
|
|
# divides each vector entry by a given divisor |
|
223
|
|
|
|
|
|
|
sub div |
|
224
|
|
|
|
|
|
|
{ |
|
225
|
2
|
|
|
2
|
0
|
2
|
my $self = shift; |
|
226
|
2
|
|
|
|
|
3
|
my $divisor = shift; |
|
227
|
2
|
50
|
|
|
|
4
|
if(!defined $divisor) |
|
228
|
|
|
|
|
|
|
{ |
|
229
|
0
|
|
|
|
|
0
|
print STDERR "Usage: v1->div(DIVISOR)\n"; |
|
230
|
0
|
|
|
|
|
0
|
exit; |
|
231
|
|
|
|
|
|
|
} |
|
232
|
2
|
50
|
|
|
|
4
|
if($divisor==0) |
|
233
|
|
|
|
|
|
|
{ |
|
234
|
0
|
|
|
|
|
0
|
print STDERR "Divisor 0 not allowed in Math::SparseVector::div().\n"; |
|
235
|
0
|
|
|
|
|
0
|
exit; |
|
236
|
|
|
|
|
|
|
} |
|
237
|
2
|
|
|
|
|
99
|
foreach my $key ($self->keys) |
|
238
|
|
|
|
|
|
|
{ |
|
239
|
12
|
|
|
|
|
17
|
$self->{$key}/=$divisor; |
|
240
|
|
|
|
|
|
|
} |
|
241
|
|
|
|
|
|
|
} |
|
242
|
|
|
|
|
|
|
|
|
243
|
|
|
|
|
|
|
# adds a given sparse vector to a binary sparse vector |
|
244
|
|
|
|
|
|
|
sub binadd |
|
245
|
|
|
|
|
|
|
{ |
|
246
|
1
|
|
|
1
|
0
|
3
|
my $v1 = shift; |
|
247
|
1
|
|
|
|
|
2
|
my $v2 = shift; |
|
248
|
|
|
|
|
|
|
|
|
249
|
1
|
50
|
|
|
|
4
|
if(!defined $v2) |
|
250
|
|
|
|
|
|
|
{ |
|
251
|
0
|
|
|
|
|
0
|
print STDERR "Usage: v1->binadd(v2)\n"; |
|
252
|
0
|
|
|
|
|
0
|
exit; |
|
253
|
|
|
|
|
|
|
} |
|
254
|
|
|
|
|
|
|
|
|
255
|
1
|
|
|
|
|
3
|
foreach my $key ($v2->keys) |
|
256
|
|
|
|
|
|
|
{ |
|
257
|
6
|
|
|
|
|
9
|
$v1->{$key}=1; |
|
258
|
|
|
|
|
|
|
} |
|
259
|
|
|
|
|
|
|
} |
|
260
|
|
|
|
|
|
|
|
|
261
|
|
|
|
|
|
|
# deallocates all the vector entries |
|
262
|
|
|
|
|
|
|
sub free |
|
263
|
|
|
|
|
|
|
{ |
|
264
|
5
|
|
|
5
|
0
|
6
|
my $self = shift; |
|
265
|
5
|
|
|
|
|
4
|
%{$self}=(); |
|
|
5
|
|
|
|
|
12
|
|
|
266
|
5
|
|
|
|
|
3
|
undef %{$self}; |
|
|
5
|
|
|
|
|
13
|
|
|
267
|
|
|
|
|
|
|
} |
|
268
|
|
|
|
|
|
|
|
|
269
|
|
|
|
|
|
|
1; |
|
270
|
|
|
|
|
|
|
__END__ |