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package Math::DWT::Wavelet::Coiflet; |
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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::Coiflet - FIR lo- & hi-pass filter coefficients for the Coiflet wavelet. |
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=head1 VERSION |
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Version 0.022 |
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=cut |
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our $VERSION = '0.022'; |
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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 Coiflet 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('Coiflet'); |
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my $udwt = Math::DWT::UDWT->new('Coiflet'); |
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=cut |
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=head1 SUBROUTINES/METHODS |
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=head2 new(VAR) |
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Takes a single argument, var, which determines the particular filter set which the object will provide. You can get a list of available filter sets with the vars() method. |
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my $coiflet4 = Math::DWT::Wavelet::Coiflet->new(4); |
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This method returns a Math::DWT::Wavelet::Coiflet 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::Coiflet->vars(); |
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print scalar(@v); # 5 |
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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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=head2 hi_r() |
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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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Math::DWT(3pm), Math::DWT::UDWT(3pm), Math::DWT::Wavelet::Haar(3pm), Math::DWT::Wavelet::Daubechies(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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=head1 AUTHOR |
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Mike Kroh, C<< >> |
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=head1 BUGS |
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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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=head1 ACKNOWLEDGEMENTS |
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These wavelet filter coefficients were scraped from this site: L. |
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=head1 LICENSE AND COPYRIGHT |
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Copyright 2016 Mike Kroh. |
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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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Any use, modification, and distribution of the Standard or Modified |
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Versions is governed by this Artistic License. By using, modifying or |
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distributing the Package, you accept this license. Do not use, modify, |
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or distribute the Package, if you do not accept this license. |
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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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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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This license includes the non-exclusive, worldwide, free-of-charge |
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patent license to make, have made, use, offer to sell, sell, import and |
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otherwise transfer the Package with respect to any patent claims |
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licensable by the Copyright Holder that are necessarily infringed by the |
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Package. If you institute patent litigation (including a cross-claim or |
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counterclaim) against any party alleging that the Package constitutes |
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direct or contributory patent infringement, then this Artistic License |
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to you shall terminate on the date that such litigation is filed. |
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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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THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR |
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PURPOSE, OR NON-INFRINGEMENT ARE DISCLAIMED TO THE EXTENT PERMITTED BY |
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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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=cut |
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my @vars=qw/1 2 3 4 5/; |
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my %lo_d; my %hi_d; my %lo_r; my %hi_r; |
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$lo_d{1}=[qw/-0.01565572813546454 -0.0727326195128539 0.38486484686420286 0.8525720202122554 0.3378976624578092 -0.0727326195128539/]; |
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$hi_d{1}=[qw/0.0727326195128539 0.3378976624578092 -0.8525720202122554 0.38486484686420286 0.0727326195128539 -0.01565572813546454/]; |
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$lo_r{1}=[qw/-0.0727326195128539 0.3378976624578092 0.8525720202122554 0.38486484686420286 -0.0727326195128539 -0.01565572813546454/]; |
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$hi_r{1}=[qw/-0.01565572813546454 0.0727326195128539 0.38486484686420286 -0.8525720202122554 0.3378976624578092 0.0727326195128539/]; |
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$lo_d{2}=[qw/-0.0007205494453645122 -0.0018232088707029932 0.0056114348193944995 0.023680171946334084 -0.0594344186464569 -0.0764885990783064 0.41700518442169254 0.8127236354455423 0.3861100668211622 -0.06737255472196302 -0.04146493678175915 0.016387336463522112/]; |
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$hi_d{2}=[qw/-0.016387336463522112 -0.04146493678175915 0.06737255472196302 0.3861100668211622 -0.8127236354455423 0.41700518442169254 0.0764885990783064 -0.0594344186464569 -0.023680171946334084 0.0056114348193944995 0.0018232088707029932 -0.0007205494453645122/]; |
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$lo_r{2}=[qw/0.016387336463522112 -0.04146493678175915 -0.06737255472196302 0.3861100668211622 0.8127236354455423 0.41700518442169254 -0.0764885990783064 -0.0594344186464569 0.023680171946334084 0.0056114348193944995 -0.0018232088707029932 -0.0007205494453645122/]; |
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$hi_r{2}=[qw/-0.0007205494453645122 0.0018232088707029932 0.0056114348193944995 -0.023680171946334084 -0.0594344186464569 0.0764885990783064 0.41700518442169254 -0.8127236354455423 0.3861100668211622 0.06737255472196302 -0.04146493678175915 -0.016387336463522112/]; |
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$lo_d{3}=[qw/-3.459977283621256e-05 -7.098330313814125e-05 0.0004662169601128863 0.0011175187708906016 -0.0025745176887502236 -0.00900797613666158 0.015880544863615904 0.03455502757306163 -0.08230192710688598 -0.07179982161931202 0.42848347637761874 0.7937772226256206 0.4051769024096169 -0.06112339000267287 -0.0657719112818555 0.023452696141836267 0.007782596427325418 -0.003793512864491014/]; |
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$hi_d{3}=[qw/0.003793512864491014 0.007782596427325418 -0.023452696141836267 -0.0657719112818555 0.06112339000267287 0.4051769024096169 -0.7937772226256206 0.42848347637761874 0.07179982161931202 -0.08230192710688598 -0.03455502757306163 0.015880544863615904 0.00900797613666158 -0.0025745176887502236 -0.0011175187708906016 0.0004662169601128863 7.098330313814125e-05 -3.459977283621256e-05/]; |
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$lo_r{3}=[qw/-0.003793512864491014 0.007782596427325418 0.023452696141836267 -0.0657719112818555 -0.06112339000267287 0.4051769024096169 0.7937772226256206 0.42848347637761874 -0.07179982161931202 -0.08230192710688598 0.03455502757306163 0.015880544863615904 -0.00900797613666158 -0.0025745176887502236 0.0011175187708906016 0.0004662169601128863 -7.098330313814125e-05 -3.459977283621256e-05/]; |
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$hi_r{3}=[qw/-3.459977283621256e-05 7.098330313814125e-05 0.0004662169601128863 -0.0011175187708906016 -0.0025745176887502236 0.00900797613666158 0.015880544863615904 -0.03455502757306163 -0.08230192710688598 0.07179982161931202 0.42848347637761874 -0.7937772226256206 0.4051769024096169 0.06112339000267287 -0.0657719112818555 -0.023452696141836267 0.007782596427325418 0.003793512864491014/]; |
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$lo_d{4}=[qw/-1.7849850030882614e-06 -3.2596802368833675e-06 3.1229875865345646e-05 6.233903446100713e-05 -0.00025997455248771324 -0.0005890207562443383 0.0012665619292989445 0.003751436157278457 -0.00565828668661072 -0.015211731527946259 0.025082261844864097 0.03933442712333749 -0.09622044203398798 -0.06662747426342504 0.4343860564914685 0.782238930920499 0.41530840703043026 -0.05607731331675481 -0.08126669968087875 0.026682300156053072 0.016068943964776348 -0.0073461663276420935 -0.0016294920126017326 0.0008923136685823146/]; |
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$hi_d{4}=[qw/-0.0008923136685823146 -0.0016294920126017326 0.0073461663276420935 0.016068943964776348 -0.026682300156053072 -0.08126669968087875 0.05607731331675481 0.41530840703043026 -0.782238930920499 0.4343860564914685 0.06662747426342504 -0.09622044203398798 -0.03933442712333749 0.025082261844864097 0.015211731527946259 -0.00565828668661072 -0.003751436157278457 0.0012665619292989445 0.0005890207562443383 -0.00025997455248771324 -6.233903446100713e-05 3.1229875865345646e-05 3.2596802368833675e-06 -1.7849850030882614e-06/]; |
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$lo_r{4}=[qw/0.0008923136685823146 -0.0016294920126017326 -0.0073461663276420935 0.016068943964776348 0.026682300156053072 -0.08126669968087875 -0.05607731331675481 0.41530840703043026 0.782238930920499 0.4343860564914685 -0.06662747426342504 -0.09622044203398798 0.03933442712333749 0.025082261844864097 -0.015211731527946259 -0.00565828668661072 0.003751436157278457 0.0012665619292989445 -0.0005890207562443383 -0.00025997455248771324 6.233903446100713e-05 3.1229875865345646e-05 -3.2596802368833675e-06 -1.7849850030882614e-06/]; |
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|
|
$hi_r{4}=[qw/-1.7849850030882614e-06 3.2596802368833675e-06 3.1229875865345646e-05 -6.233903446100713e-05 -0.00025997455248771324 0.0005890207562443383 0.0012665619292989445 -0.003751436157278457 -0.00565828668661072 0.015211731527946259 0.025082261844864097 -0.03933442712333749 -0.09622044203398798 0.06662747426342504 0.4343860564914685 -0.782238930920499 0.41530840703043026 0.05607731331675481 -0.08126669968087875 -0.026682300156053072 0.016068943964776348 0.0073461663276420935 -0.0016294920126017326 -0.0008923136685823146/]; |
|
155
|
|
|
|
|
|
|
|
|
156
|
|
|
|
|
|
|
$lo_d{5}=[qw/-9.517657273819165e-08 -1.6744288576823017e-07 2.0637618513646814e-06 3.7346551751414047e-06 -2.1315026809955787e-05 -4.134043227251251e-05 0.00014054114970203437 0.00030225958181306315 -0.0006381313430451114 -0.0016628637020130838 0.0024333732126576722 0.006764185448053083 -0.009164231162481846 -0.01976177894257264 0.03268357426711183 0.0412892087501817 -0.10557420870333893 -0.06203596396290357 0.4379916261718371 0.7742896036529562 0.4215662066908515 -0.05204316317624377 -0.09192001055969624 0.02816802897093635 0.023408156785839195 -0.010131117519849788 -0.004159358781386048 0.0021782363581090178 0.00035858968789573785 -0.00021208083980379827/]; |
|
157
|
|
|
|
|
|
|
$hi_d{5}=[qw/0.00021208083980379827 0.00035858968789573785 -0.0021782363581090178 -0.004159358781386048 0.010131117519849788 0.023408156785839195 -0.02816802897093635 -0.09192001055969624 0.05204316317624377 0.4215662066908515 -0.7742896036529562 0.4379916261718371 0.06203596396290357 -0.10557420870333893 -0.0412892087501817 0.03268357426711183 0.01976177894257264 -0.009164231162481846 -0.006764185448053083 0.0024333732126576722 0.0016628637020130838 -0.0006381313430451114 -0.00030225958181306315 0.00014054114970203437 4.134043227251251e-05 -2.1315026809955787e-05 -3.7346551751414047e-06 2.0637618513646814e-06 1.6744288576823017e-07 -9.517657273819165e-08/]; |
|
158
|
|
|
|
|
|
|
$lo_r{5}=[qw/-0.00021208083980379827 0.00035858968789573785 0.0021782363581090178 -0.004159358781386048 -0.010131117519849788 0.023408156785839195 0.02816802897093635 -0.09192001055969624 -0.05204316317624377 0.4215662066908515 0.7742896036529562 0.4379916261718371 -0.06203596396290357 -0.10557420870333893 0.0412892087501817 0.03268357426711183 -0.01976177894257264 -0.009164231162481846 0.006764185448053083 0.0024333732126576722 -0.0016628637020130838 -0.0006381313430451114 0.00030225958181306315 0.00014054114970203437 -4.134043227251251e-05 -2.1315026809955787e-05 3.7346551751414047e-06 2.0637618513646814e-06 -1.6744288576823017e-07 -9.517657273819165e-08/]; |
|
159
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|
|
$hi_r{5}=[qw/-9.517657273819165e-08 1.6744288576823017e-07 2.0637618513646814e-06 -3.7346551751414047e-06 -2.1315026809955787e-05 4.134043227251251e-05 0.00014054114970203437 -0.00030225958181306315 -0.0006381313430451114 0.0016628637020130838 0.0024333732126576722 -0.006764185448053083 -0.009164231162481846 0.01976177894257264 0.03268357426711183 -0.0412892087501817 -0.10557420870333893 0.06203596396290357 0.4379916261718371 -0.7742896036529562 0.4215662066908515 0.05204316317624377 -0.09192001055969624 -0.02816802897093635 0.023408156785839195 0.010131117519849788 -0.004159358781386048 -0.0021782363581090178 0.00035858968789573785 0.00021208083980379827/]; |
|
160
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; |
|
161
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162
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sub new { |
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163
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0
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0
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1
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my $class=shift; |
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164
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0
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my $self={}; |
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165
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0
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my $var=shift; |
|
166
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167
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$self={lo_d=>$lo_d{$var}, |
|
168
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hi_d=>$hi_d{$var}, |
|
169
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lo_r=>$lo_r{$var}, |
|
170
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0
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hi_r=>$hi_r{$var} |
|
171
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}; |
|
172
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173
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0
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bless $self,$class; |
|
174
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0
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return $self; |
|
175
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}; |
|
176
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177
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sub vars { |
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178
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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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179
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0
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0
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if (wantarray()) { |
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180
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0
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return (@vars); |
|
181
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}; |
|
182
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0
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|
return \@vars; |
|
183
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}; |
|
184
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|
185
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|
sub filters { |
|
186
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0
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0
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1
|
|
my $self=shift; |
|
187
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0
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|
my $lo_d=$self->lo_d; |
|
188
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0
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|
my $hi_d=$self->hi_d; |
|
189
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0
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|
my $lo_r=$self->lo_r; |
|
190
|
0
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|
|
|
my $hi_r=$self->hi_r; |
|
191
|
0
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|
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|
|
|
my @a=( $lo_d,$hi_d,$lo_r,$hi_r); |
|
192
|
0
|
0
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|
|
if (wantarray()) { |
|
193
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0
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|
return (@a); |
|
194
|
|
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|
|
}; |
|
195
|
0
|
|
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|
|
return \@a; |
|
196
|
|
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|
|
}; |
|
197
|
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|
198
|
|
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|
|
|
|
sub lo_d { |
|
199
|
0
|
|
|
0
|
1
|
|
my $self=shift; |
|
200
|
0
|
|
|
|
|
|
my $a=$self->{lo_d}; |
|
201
|
0
|
0
|
|
|
|
|
if (wantarray()) { |
|
202
|
0
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|
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|
|
return (@{$a}); |
|
|
0
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|
|
|
|
203
|
|
|
|
|
|
|
}; |
|
204
|
0
|
|
|
|
|
|
return $a; |
|
205
|
|
|
|
|
|
|
}; |
|
206
|
|
|
|
|
|
|
sub hi_d { |
|
207
|
0
|
|
|
0
|
1
|
|
my $self=shift; |
|
208
|
0
|
|
|
|
|
|
my $a=$self->{hi_d}; |
|
209
|
0
|
0
|
|
|
|
|
if (wantarray()) { |
|
210
|
0
|
|
|
|
|
|
return (@{$a}); |
|
|
0
|
|
|
|
|
|
|
|
211
|
|
|
|
|
|
|
}; |
|
212
|
0
|
|
|
|
|
|
return $a; |
|
213
|
|
|
|
|
|
|
}; |
|
214
|
|
|
|
|
|
|
sub lo_r { |
|
215
|
0
|
|
|
0
|
1
|
|
my $self=shift; |
|
216
|
0
|
|
|
|
|
|
my $a=$self->{lo_r}; |
|
217
|
0
|
0
|
|
|
|
|
if (wantarray()) { |
|
218
|
0
|
|
|
|
|
|
return (@{$a}); |
|
|
0
|
|
|
|
|
|
|
|
219
|
|
|
|
|
|
|
}; |
|
220
|
0
|
|
|
|
|
|
return $a; |
|
221
|
|
|
|
|
|
|
}; |
|
222
|
|
|
|
|
|
|
sub hi_r { |
|
223
|
0
|
|
|
0
|
1
|
|
my $self=shift; |
|
224
|
0
|
|
|
|
|
|
my $a=$self->{hi_r}; |
|
225
|
0
|
0
|
|
|
|
|
if (wantarray()) { |
|
226
|
0
|
|
|
|
|
|
return (@{$a}); |
|
|
0
|
|
|
|
|
|
|
|
227
|
|
|
|
|
|
|
}; |
|
228
|
0
|
|
|
|
|
|
return $a; |
|
229
|
|
|
|
|
|
|
}; |
|
230
|
|
|
|
|
|
|
|
|
231
|
|
|
|
|
|
|
|
|
232
|
|
|
|
|
|
|
1; |