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package Math::DWT::Wavelet::Haar; |
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use strict; |
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use warnings; |
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=head1 NAME |
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Math::DWT::Wavelet::Haar - FIR lo- & hi-pass filter coefficients for the Haar wavelet. |
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=head1 VERSION |
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Version 0.021 |
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=cut |
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our $VERSION = '0.021'; |
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=head1 SYNOPSIS |
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This module provides the lo- and hi-pass decomposition and reconstruction filter coefficients for the Haar wavelet. It is meant to be used with other Math::DWT modules: |
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use Math::DWT; |
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use Math::DWT::UDWT; |
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my $dwt = Math::DWT->new('Haar'); |
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my $udwt = Math::DWT::UDWT->new('Haar'); |
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=cut |
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=head1 SUBROUTINES/METHODS |
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=head2 new() |
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34
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The Haar wavelet module is unique among the other wavelet modules in that there is no "VAR" argument to new(). This method returns a Math::DWT::Wavelet::Haar object; |
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=head2 vars() |
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This method returns a list of possible choices for VAR when creating a new object, e.g.: |
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my @v = Math::DWT::Wavelet::Daubechies->vars(); |
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print scalar(@v); # 20 |
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This method returns an empty array/arrayref for the Haar wavelet, since there are no options for VAR. |
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=head2 filters() |
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Depending on the context in which it is called, returns an array or an arrayref containing (lo_d, hi_d, lo_r, hi_r) - the set of filters which are defined with the instantiated object. |
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=head2 lo_d() |
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=head2 hi_d() |
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=head2 lo_r() |
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55
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=head2 hi_r() |
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57
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Returns the requested set of filter coefficients as either an array or arrayref, depending on calling context. |
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=head1 SEE ALSO |
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61
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Math::DWT(3pm), Math::DWT::UDWT(3pm), Math::DWT::Wavelet::Daubechies(3pm), Math::DWT::Wavelet::Coiflet(3pm), Math::DWT::Wavelet::Symlet(3pm), Math::DWT::Wavelet::Biorthogonal(3pm), Math::DWT::Wavelet::ReverseBiorthogonal(3pm), Math::DWT::Wavelet::DiscreteMeyer(3pm), perl(1) |
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64
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=head1 AUTHOR |
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66
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67
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Mike Kroh, C<< >> |
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69
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=head1 BUGS |
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70
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71
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72
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Please report any bugs or feature requests to C, or through the web interface at L. I will be notified, and then you'll automatically be notified of progress on your bug as I make changes. |
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76
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=head1 ACKNOWLEDGEMENTS |
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78
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These wavelet filter coefficients were scraped from this site: L. |
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80
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=head1 LICENSE AND COPYRIGHT |
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82
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83
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Copyright 2016 Mike Kroh. |
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85
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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 the the Artistic License (2.0). You may obtain a |
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copy of the full license at: |
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L |
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91
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Any use, modification, and distribution of the Standard or Modified |
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92
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Versions is governed by this Artistic License. By using, modifying or |
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93
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distributing the Package, you accept this license. Do not use, modify, |
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94
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or distribute the Package, if you do not accept this license. |
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95
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96
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If your Modified Version has been derived from a Modified Version made |
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by someone other than you, you are nevertheless required to ensure that |
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your Modified Version complies with the requirements of this license. |
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100
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This license does not grant you the right to use any trademark, service |
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mark, tradename, or logo of the Copyright Holder. |
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103
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This license includes the non-exclusive, worldwide, free-of-charge |
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104
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patent license to make, have made, use, offer to sell, sell, import and |
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105
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otherwise transfer the Package with respect to any patent claims |
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106
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licensable by the Copyright Holder that are necessarily infringed by the |
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107
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Package. If you institute patent litigation (including a cross-claim or |
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108
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counterclaim) against any party alleging that the Package constitutes |
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109
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direct or contributory patent infringement, then this Artistic License |
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110
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to you shall terminate on the date that such litigation is filed. |
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111
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112
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Disclaimer of Warranty: THE PACKAGE IS PROVIDED BY THE COPYRIGHT HOLDER |
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AND CONTRIBUTORS "AS IS' AND WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES. |
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114
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THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR |
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115
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PURPOSE, OR NON-INFRINGEMENT ARE DISCLAIMED TO THE EXTENT PERMITTED BY |
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116
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YOUR LOCAL LAW. UNLESS REQUIRED BY LAW, NO COPYRIGHT HOLDER OR |
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CONTRIBUTOR WILL BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, OR |
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CONSEQUENTIAL DAMAGES ARISING IN ANY WAY OUT OF THE USE OF THE PACKAGE, |
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EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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121
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122
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=cut |
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124
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125
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my @vars=qw//; |
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127
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my %lo_d; my %hi_d; my %lo_r; my %hi_r; |
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129
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130
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$lo_d{""}=[qw/0.7071067811865476 0.7071067811865476/]; |
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131
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$lo_r{""}=[qw/0.7071067811865476 0.7071067811865476/]; |
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$hi_d{""}=[qw/-0.7071067811865476 0.7071067811865476/]; |
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$hi_r{""}=[qw/0.7071067811865476 -0.7071067811865476/]; |
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; |
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135
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136
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sub new { |
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my $class=shift; |
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0
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my $self={}; |
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0
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my $var=shift || ""; |
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141
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$self={lo_d=>$lo_d{$var}, |
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hi_d=>$hi_d{$var}, |
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lo_r=>$lo_r{$var}, |
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0
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hi_r=>$hi_r{$var} |
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145
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}; |
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147
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bless $self,$class; |
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return $self; |
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149
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}; |
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151
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sub vars { |
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my $self=shift; |
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153
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0
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if (wantarray()) { |
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154
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return (@vars); |
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155
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}; |
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156
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return \@vars; |
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157
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}; |
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158
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159
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sub filters { |
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160
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0
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my $self=shift; |
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161
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0
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my $lo_d=$self->lo_d; |
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162
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0
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my $hi_d=$self->hi_d; |
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my $lo_r=$self->lo_r; |
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0
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my $hi_r=$self->hi_r; |
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165
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0
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my @a=( $lo_d,$hi_d,$lo_r,$hi_r); |
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166
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0
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if (wantarray()) { |
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167
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0
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return (@a); |
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}; |
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0
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return \@a; |
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}; |
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172
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sub lo_d { |
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0
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my $self=shift; |
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0
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my $a=$self->{lo_d}; |
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175
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0
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if (wantarray()) { |
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176
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0
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return (@{$a}); |
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0
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177
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}; |
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0
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return $a; |
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}; |
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sub hi_d { |
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0
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0
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1
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my $self=shift; |
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182
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0
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my $a=$self->{hi_d}; |
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183
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0
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if (wantarray()) { |
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184
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0
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return (@{$a}); |
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0
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185
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}; |
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186
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0
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return $a; |
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187
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}; |
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188
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sub lo_r { |
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189
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0
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0
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1
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my $self=shift; |
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190
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0
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my $a=$self->{lo_r}; |
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191
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0
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0
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if (wantarray()) { |
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192
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0
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return (@{$a}); |
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0
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193
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}; |
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194
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0
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return $a; |
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195
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}; |
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196
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sub hi_r { |
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197
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0
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0
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1
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my $self=shift; |
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198
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0
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my $a=$self->{hi_r}; |
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199
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0
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0
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if (wantarray()) { |
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200
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0
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return (@{$a}); |
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0
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201
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}; |
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202
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0
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return $a; |
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203
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}; |
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204
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205
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206
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1; |