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#!/usr/bin/perl -w |
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# |
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# dbcolmovingstats.pm |
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# Copyright (C) 1991-2015 by John Heidemann |
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# $Id: 356dd222b0dd3e651903369cd0cfd06ae9ca2a54 $ |
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# |
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# This program is distributed under terms of the GNU general |
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# public license, version 2. See the file COPYING |
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# in $dblibdir for details. |
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# |
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package Fsdb::Filter::dbcolmovingstats; |
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=head1 NAME |
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dbcolmovingstats - compute moving statistics over a window of a column of data |
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=head1 SYNOPSIS |
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dbcolmovingstats [-am] [-w window-width] [-e EmptyValue] column |
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=head1 DESCRIPTION |
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Compute moving statistics over a COLUMN of data. |
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Records containing non-numeric data are considered null |
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do not contribute to the stats (optionally they are treated as zeros |
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with C<-a>). |
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Currently we compute mean and sample standard deviation. |
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(Note we only compute sample standard deviation, |
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not full population.) |
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Optionally, with C<-m> we also compute median. |
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(Currently there is no support for generalized quantiles.) |
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Values before a sufficient number have been accumulated are given the |
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empty value (if specified with C<-e>). |
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If no empty value is given, stats are computed on as many are possible if no empty |
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value is specified. |
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Dbcolmovingstats runs in O(1) memory, but must buffer a full window of data. |
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Quantiles currently will repeatedly sort the window and so may perform |
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poorly with wide windows. |
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=head1 OPTIONS |
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=over 4 |
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=item B<-a> or B<--include-non-numeric> |
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Compute stats over all records (treat non-numeric records |
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as zero rather than just ignoring them). |
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=item B<-w> or B<--window> WINDOW |
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WINDOW of how many items to accumulate (defaults to 10). |
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(For compatibility with fsdb-1.x, B<-n> is also supported.) |
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=item B<-m> or B<--median> |
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Show median of the window in addition to mean. |
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=item B<-e E> or B<--empty E> |
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Give value E as the value for empty (null) records. |
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This null value is then output before a full window is accumulated. |
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=item B<-f FORMAT> or B<--format FORMAT> |
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Specify a L-style format for output mean and standard deviation. |
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Defaults to C<%.5g>. |
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=back |
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Eventually we expect to support other options of L. |
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=for comment |
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begin_standard_fsdb_options |
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This module also supports the standard fsdb options: |
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=over 4 |
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=item B<-d> |
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Enable debugging output. |
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=item B<-i> or B<--input> InputSource |
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Read from InputSource, typically a file name, or C<-> for standard input, |
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or (if in Perl) a IO::Handle, Fsdb::IO or Fsdb::BoundedQueue objects. |
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=item B<-o> or B<--output> OutputDestination |
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Write to OutputDestination, typically a file name, or C<-> for standard output, |
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or (if in Perl) a IO::Handle, Fsdb::IO or Fsdb::BoundedQueue objects. |
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=item B<--autorun> or B<--noautorun> |
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By default, programs process automatically, |
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but Fsdb::Filter objects in Perl do not run until you invoke |
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the run() method. |
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The C<--(no)autorun> option controls that behavior within Perl. |
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=item B<--help> |
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Show help. |
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=item B<--man> |
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Show full manual. |
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=back |
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=for comment |
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end_standard_fsdb_options |
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=head1 SAMPLE USAGE |
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=head2 Input: |
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#fsdb date epoch count |
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19980201 886320000 6 |
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19980202 886406400 8 |
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19980203 886492800 19 |
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19980204 886579200 53 |
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19980205 886665600 20 |
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19980206 886752000 18 |
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19980207 886838400 5 |
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19980208 886924800 9 |
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19980209 887011200 22 |
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19980210 887097600 22 |
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19980211 887184000 36 |
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19980212 887270400 26 |
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19980213 887356800 23 |
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19980214 887443200 6 |
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=head2 Command: |
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cat data.fsdb | dbmovingstats -e - -w 4 count |
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=head2 Output: |
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#fsdb date epoch count moving_mean moving_stddev |
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19980201 886320000 6 - - |
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19980202 886406400 8 - - |
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19980203 886492800 19 - - |
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19980204 886579200 53 21.5 21.764 |
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19980205 886665600 20 25 19.442 |
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19980206 886752000 18 27.5 17.02 |
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19980207 886838400 5 24 20.445 |
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19980208 886924800 9 13 7.1647 |
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19980209 887011200 22 13.5 7.8528 |
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19980210 887097600 22 14.5 8.8129 |
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19980211 887184000 36 22.25 11.026 |
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19980212 887270400 26 26.5 6.6081 |
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19980213 887356800 23 26.75 6.3966 |
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19980214 887443200 6 22.75 12.473 |
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# | dbcolmovingstats -e - -n 4 count |
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=head1 SEE ALSO |
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L. |
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L. |
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L. |
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L. |
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=head1 BUGS |
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Currently there is no support for generalized quantiles. |
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=head1 CLASS FUNCTIONS |
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=cut |
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@ISA = qw(Fsdb::Filter); |
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$VERSION = 2.0; |
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use strict; |
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use Pod::Usage; |
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use Carp; |
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use Fsdb::Filter; |
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use Fsdb::IO::Reader; |
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use Fsdb::IO::Writer; |
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use Fsdb::Support qw($is_numeric_regexp); |
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=head2 new |
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$filter = new Fsdb::Filter::dbcolmovingstats(@arguments); |
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198
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Create a new dbcolmovingstats object, taking command-line arguments. |
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200
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=cut |
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202
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sub new ($@) { |
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my $class = shift @_; |
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my $self = $class->SUPER::new(@_); |
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bless $self, $class; |
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$self->set_defaults; |
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$self->parse_options(@_); |
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$self->SUPER::post_new(); |
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return $self; |
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} |
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=head2 set_defaults |
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215
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$filter->set_defaults(); |
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217
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Internal: set up defaults. |
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219
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=cut |
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221
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sub set_defaults ($) { |
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my($self) = @_; |
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$self->SUPER::set_defaults(); |
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$self->{_empty} = undef; |
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$self->{_format} = "%.5g"; |
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$self->{_include_non_numeric} = undef; |
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$self->{_window} = 10; |
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$self->{_median} = undef; |
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} |
230
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231
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=head2 parse_options |
232
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233
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$filter->parse_options(@ARGV); |
234
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235
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Internal: parse command-line arguments. |
236
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237
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=cut |
238
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239
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sub parse_options ($@) { |
240
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0
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0
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1
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my $self = shift @_; |
241
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242
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0
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my(@argv) = @_; |
243
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$self->get_options( |
244
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\@argv, |
245
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0
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0
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'help|?' => sub { pod2usage(1); }, |
246
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0
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0
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'man' => sub { pod2usage(-verbose => 2); }, |
247
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'a|include-non-numeric!' => \$self->{_include_non_numeric}, |
248
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'autorun!' => \$self->{_autorun}, |
249
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'close!' => \$self->{_close}, |
250
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'd|debug+' => \$self->{_debug}, |
251
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'e|empty=s' => \$self->{_empty}, |
252
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'f|format=s' => \$self->{_format}, |
253
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0
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0
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'i|input=s' => sub { $self->parse_io_option('input', @_); }, |
254
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'log!' => \$self->{_logprog}, |
255
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'm|median!' => \$self->{_median}, |
256
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0
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0
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'o|output=s' => sub { $self->parse_io_option('output', @_); }, |
257
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'w|n|window=i' => \$self->{_window}, |
258
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0
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0
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) or pod2usage(2); |
259
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0
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$self->parse_target_column(\@argv); |
260
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} |
261
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262
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=head2 setup |
263
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264
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$filter->setup(); |
265
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266
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Internal: setup, parse headers. |
267
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268
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=cut |
269
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270
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sub setup ($) { |
271
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0
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0
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1
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|
my($self) = @_; |
272
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273
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0
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0
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pod2usage(2) if (!defined($self->{_target_column})); |
274
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275
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0
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$self->finish_io_option('input', -comment_handler => $self->create_pass_comments_sub); |
276
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0
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|
$self->{_target_coli} = $self->{_in}->col_to_i($self->{_target_column}); |
277
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croak $self->{_prog} . ": target column " . $self->{_target_column} . " is not in input stream.\n" |
278
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0
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0
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|
|
if (!defined($self->{_target_coli})); |
279
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280
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0
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|
$self->finish_io_option('output', -clone => $self->{_in}, -outputheader => 'delay'); |
281
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0
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|
my(@new_cols) = qw(moving_mean moving_stddev); |
282
|
0
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0
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|
|
push (@new_cols, "moving_median") if ($self->{_median}); |
283
|
0
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|
foreach (@new_cols) { |
284
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|
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|
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|
|
$self->{_out}->col_create($_) |
285
|
0
|
0
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|
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|
|
or croak $self->{_prog} . ": cannot create column $_ (maybe it already existed?)\n"; |
286
|
|
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|
|
|
|
}; |
287
|
0
|
|
|
|
|
|
my $write_fastpath_sub = $self->{_out}->fastpath_sub(); |
288
|
|
|
|
|
|
|
} |
289
|
|
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290
|
|
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|
|
=head2 run |
291
|
|
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|
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|
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292
|
|
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|
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|
|
$filter->run(); |
293
|
|
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|
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294
|
|
|
|
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|
|
Internal: run over each rows. |
295
|
|
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|
|
|
|
|
296
|
|
|
|
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|
|
=cut |
297
|
|
|
|
|
|
|
sub run ($) { |
298
|
0
|
|
|
0
|
1
|
|
my($self) = @_; |
299
|
|
|
|
|
|
|
|
300
|
0
|
|
|
|
|
|
my $read_fastpath_sub = $self->{_in}->fastpath_sub(); |
301
|
0
|
|
|
|
|
|
my $write_fastpath_sub = $self->{_out}->fastpath_sub(); |
302
|
|
|
|
|
|
|
|
303
|
0
|
|
|
|
|
|
my $coli = $self->{_target_coli}; |
304
|
0
|
|
|
|
|
|
my $mean_coli = $self->{_out}->col_to_i('moving_mean'); |
305
|
0
|
|
|
|
|
|
my $stddev_coli = $self->{_out}->col_to_i('moving_stddev'); |
306
|
0
|
|
|
|
|
|
my $doing_median = defined($self->{_median}); |
307
|
0
|
|
|
|
|
|
my $median_coli = undef; |
308
|
0
|
0
|
|
|
|
|
$median_coli = $self->{_out}->col_to_i('moving_median') if ($doing_median); |
309
|
0
|
|
|
|
|
|
my $req_acc = $self->{_window}; |
310
|
0
|
|
|
|
|
|
my $empty_value = $self->{_empty}; |
311
|
|
|
|
|
|
|
|
312
|
0
|
|
|
|
|
|
my(@d) = (); |
313
|
0
|
|
|
|
|
|
my($sx) = 0; |
314
|
0
|
|
|
|
|
|
my($sxx) = 0; |
315
|
|
|
|
|
|
|
# my($minmaxinit) = 0; |
316
|
|
|
|
|
|
|
|
317
|
|
|
|
|
|
|
# |
318
|
|
|
|
|
|
|
# Read and process the data. |
319
|
|
|
|
|
|
|
# |
320
|
0
|
|
|
|
|
|
my $fref; |
321
|
0
|
|
|
|
|
|
while ($fref = &$read_fastpath_sub()) { |
322
|
0
|
|
|
|
|
|
my $x = $fref->[$coli]; |
323
|
0
|
0
|
|
|
|
|
croak $self->{_prog} . ": null data value.\n" if (!defined($x)); |
324
|
0
|
|
|
|
|
|
my $x_is_valid = 1; |
325
|
0
|
0
|
|
|
|
|
if ($x !~ /$is_numeric_regexp/) { |
326
|
0
|
0
|
|
|
|
|
if ($self->{_include_non_numeric}) { |
327
|
0
|
|
|
|
|
|
$x = 0; |
328
|
|
|
|
|
|
|
} else { |
329
|
0
|
|
|
|
|
|
$x_is_valid = undef; |
330
|
|
|
|
|
|
|
}; |
331
|
|
|
|
|
|
|
}; |
332
|
|
|
|
|
|
|
|
333
|
0
|
0
|
|
|
|
|
if ($x_is_valid) { |
334
|
0
|
|
|
|
|
|
push(@d, $x); |
335
|
0
|
|
|
|
|
|
$sx += $x; |
336
|
0
|
|
|
|
|
|
$sxx += $x * $x; |
337
|
|
|
|
|
|
|
}; |
338
|
|
|
|
|
|
|
# print SAVE_DATA "$x\n" if ($save_data); |
339
|
0
|
0
|
|
|
|
|
if ($#d >= $req_acc) { |
340
|
0
|
|
|
|
|
|
my $ox = shift @d; |
341
|
0
|
|
|
|
|
|
$sx -= $ox; |
342
|
0
|
|
|
|
|
|
$sxx -= $ox * $ox; |
343
|
|
|
|
|
|
|
}; |
344
|
|
|
|
|
|
|
|
345
|
|
|
|
|
|
|
# if (!$minmaxinit) { |
346
|
|
|
|
|
|
|
# $min = $max = $x; |
347
|
|
|
|
|
|
|
# $minmaxinit = 1; |
348
|
|
|
|
|
|
|
# } else { |
349
|
|
|
|
|
|
|
# $min = $x if ($x < $min); |
350
|
|
|
|
|
|
|
# $max = $x if ($x > $max); |
351
|
|
|
|
|
|
|
# }; |
352
|
|
|
|
|
|
|
|
353
|
0
|
|
|
|
|
|
my $mean; |
354
|
|
|
|
|
|
|
my $stddev; |
355
|
0
|
|
|
|
|
|
my $median; |
356
|
0
|
|
|
|
|
|
my $n = $#d+1; |
357
|
|
|
|
|
|
|
|
358
|
0
|
|
|
|
|
|
$mean = $sx / $n; |
359
|
0
|
0
|
|
|
|
|
my($sqrt_part) = ($n <= 1 ? 0 : ($sxx - $n * $mean * $mean) / ($n - 1)); |
360
|
|
|
|
|
|
|
# Sqrt_part can go negtiave if we have floating point rounding in the subtraction, |
361
|
|
|
|
|
|
|
# so protect against that. |
362
|
0
|
0
|
|
|
|
|
$stddev = ($sqrt_part > 0 ? sqrt($sqrt_part) : 0); |
363
|
|
|
|
|
|
|
# |
364
|
|
|
|
|
|
|
# We get different results for different FP precision. |
365
|
|
|
|
|
|
|
# Result TEST/dbcolmovingstats_rounding_error is unstable |
366
|
|
|
|
|
|
|
# for the run of values that are all 0.8244. |
367
|
|
|
|
|
|
|
# See |
368
|
|
|
|
|
|
|
# and . |
369
|
|
|
|
|
|
|
# Fix: map values where the relative standard deviation is small |
370
|
|
|
|
|
|
|
# to a fixed value. This seems (empircally) to happen when stddev/mean < 1e-7 |
371
|
|
|
|
|
|
|
# which corresponds to IEEE single precision floating point. |
372
|
|
|
|
|
|
|
# |
373
|
|
|
|
|
|
|
# In practice, this case comes up only with strings of identical values |
374
|
|
|
|
|
|
|
# where the moving stddev drops to zero +/- rounding error. |
375
|
|
|
|
|
|
|
# |
376
|
0
|
0
|
0
|
|
|
|
if ($mean != 0 && $stddev != 0 && $stddev / $mean < 1e-7) { |
|
|
|
0
|
|
|
|
|
377
|
0
|
|
|
|
|
|
$stddev = 1e-7; |
378
|
|
|
|
|
|
|
}; |
379
|
0
|
0
|
|
|
|
|
if ($doing_median) { |
380
|
0
|
|
|
|
|
|
my $median_i = int($n / 2); |
381
|
|
|
|
|
|
|
# 1 -> 0.5 -> [0] |
382
|
|
|
|
|
|
|
# 2 -> 1 -> [1] |
383
|
|
|
|
|
|
|
# 3 -> 1.5 -> [1] |
384
|
|
|
|
|
|
|
# 4 -> 2 -> [2] |
385
|
|
|
|
|
|
|
# 5 -> 2.5 -> [2] |
386
|
|
|
|
|
|
|
# 6 -> 3 -> [3] ---we take the upper of the medians when there are two values |
387
|
|
|
|
|
|
|
# Note that my understanding is sorting every time, |
388
|
|
|
|
|
|
|
# in C, is faster than maintaining fancy data structures in Perl. |
389
|
0
|
|
|
|
|
|
my(@sorted_d) = sort { $a <=> $b } @d; |
|
0
|
|
|
|
|
|
|
390
|
0
|
|
|
|
|
|
$median = $sorted_d[$median_i]; # . ':' . join(",", @sorted_d); |
391
|
|
|
|
|
|
|
}; |
392
|
|
|
|
|
|
|
|
393
|
0
|
0
|
0
|
|
|
|
if ($n < $req_acc && defined($empty_value)) { |
394
|
0
|
|
|
|
|
|
$mean = $stddev = $median = $empty_value; |
395
|
|
|
|
|
|
|
} else { |
396
|
0
|
|
|
|
|
|
$mean = $self->numeric_formatting($mean); |
397
|
0
|
0
|
|
|
|
|
$stddev = $self->numeric_formatting($stddev) if (defined($stddev)); |
398
|
|
|
|
|
|
|
}; |
399
|
0
|
0
|
0
|
|
|
|
$stddev = $empty_value if (!defined($stddev) && !defined($empty_value)); |
400
|
0
|
|
|
|
|
|
$fref->[$mean_coli] = $mean; |
401
|
0
|
|
|
|
|
|
$fref->[$stddev_coli] = $stddev; |
402
|
0
|
0
|
|
|
|
|
$fref->[$median_coli] = $median if ($doing_median); |
403
|
0
|
|
|
|
|
|
&$write_fastpath_sub($fref); |
404
|
|
|
|
|
|
|
}; |
405
|
|
|
|
|
|
|
} |
406
|
|
|
|
|
|
|
|
407
|
|
|
|
|
|
|
=head1 AUTHOR and COPYRIGHT |
408
|
|
|
|
|
|
|
|
409
|
|
|
|
|
|
|
Copyright (C) 1991-2015 by John Heidemann |
410
|
|
|
|
|
|
|
|
411
|
|
|
|
|
|
|
This program is distributed under terms of the GNU general |
412
|
|
|
|
|
|
|
public license, version 2. See the file COPYING |
413
|
|
|
|
|
|
|
with the distribution for details. |
414
|
|
|
|
|
|
|
|
415
|
|
|
|
|
|
|
=cut |
416
|
|
|
|
|
|
|
|
417
|
|
|
|
|
|
|
1; |