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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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48
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=over 4 |
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50
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=item B<-a> or B<--include-non-numeric> |
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52
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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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55
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=item B<-w> or B<--window> WINDOW |
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57
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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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60
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=item B<-m> or B<--median> |
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61
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62
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Show median of the window in addition to mean. |
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64
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=item B<-e E> or B<--empty E> |
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66
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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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69
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=item B<-f FORMAT> or B<--format FORMAT> |
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71
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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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74
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=back |
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76
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Eventually we expect to support other options of L. |
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78
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=for comment |
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begin_standard_fsdb_options |
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81
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This module also supports the standard fsdb options: |
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83
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=over 4 |
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85
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=item B<-d> |
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87
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Enable debugging output. |
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89
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=item B<-i> or B<--input> InputSource |
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91
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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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94
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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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99
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=item B<--autorun> or B<--noautorun> |
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101
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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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106
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=item B<--help> |
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108
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Show help. |
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110
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=item B<--man> |
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112
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Show full manual. |
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114
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=back |
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116
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=for comment |
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end_standard_fsdb_options |
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119
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120
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=head1 SAMPLE USAGE |
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122
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=head2 Input: |
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124
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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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142
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cat data.fsdb | dbmovingstats -e - -w 4 count |
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144
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=head2 Output: |
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146
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147
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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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164
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165
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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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172
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=head1 BUGS |
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174
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Currently there is no support for generalized quantiles. |
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176
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177
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=head1 CLASS FUNCTIONS |
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179
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=cut |
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181
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@ISA = qw(Fsdb::Filter); |
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$VERSION = 2.0; |
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184
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1
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1
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5000
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use strict; |
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2
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28
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185
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1
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6
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use Pod::Usage; |
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99
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186
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7
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use Carp; |
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47
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187
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188
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1
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1
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5
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use Fsdb::Filter; |
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1
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16
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189
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1
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5
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use Fsdb::IO::Reader; |
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21
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190
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1
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1
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4
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use Fsdb::IO::Writer; |
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20
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191
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1
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1
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4
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use Fsdb::Support qw($is_numeric_regexp); |
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2
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1
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842
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192
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193
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194
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=head2 new |
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195
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196
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$filter = new Fsdb::Filter::dbcolmovingstats(@arguments); |
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197
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198
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Create a new dbcolmovingstats object, taking command-line arguments. |
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199
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200
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=cut |
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201
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202
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sub new ($@) { |
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203
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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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204
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0
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my $self = $class->SUPER::new(@_); |
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205
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0
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bless $self, $class; |
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206
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0
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$self->set_defaults; |
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207
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0
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$self->parse_options(@_); |
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208
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0
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$self->SUPER::post_new(); |
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209
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0
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return $self; |
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210
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} |
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211
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212
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213
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=head2 set_defaults |
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214
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215
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$filter->set_defaults(); |
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216
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217
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Internal: set up defaults. |
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218
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219
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=cut |
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220
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221
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sub set_defaults ($) { |
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222
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0
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0
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1
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my($self) = @_; |
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223
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0
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$self->SUPER::set_defaults(); |
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224
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0
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$self->{_empty} = undef; |
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225
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0
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$self->{_format} = "%.5g"; |
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226
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0
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$self->{_include_non_numeric} = undef; |
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227
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0
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$self->{_window} = 10; |
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228
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0
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$self->{_median} = undef; |
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229
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} |
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230
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231
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=head2 parse_options |
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232
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233
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$filter->parse_options(@ARGV); |
|
234
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235
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Internal: parse command-line arguments. |
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236
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237
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=cut |
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238
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239
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sub parse_options ($@) { |
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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
|
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
|
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
|
0
|
0
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|
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|
|
) or pod2usage(2); |
|
259
|
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
|
0
|
|
|
0
|
1
|
|
my($self) = @_; |
|
272
|
|
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|
273
|
0
|
0
|
|
|
|
|
pod2usage(2) if (!defined($self->{_target_column})); |
|
274
|
|
|
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|
275
|
0
|
|
|
|
|
|
$self->finish_io_option('input', -comment_handler => $self->create_pass_comments_sub); |
|
276
|
0
|
|
|
|
|
|
$self->{_target_coli} = $self->{_in}->col_to_i($self->{_target_column}); |
|
277
|
|
|
|
|
|
|
croak $self->{_prog} . ": target column " . $self->{_target_column} . " is not in input stream.\n" |
|
278
|
0
|
0
|
|
|
|
|
if (!defined($self->{_target_coli})); |
|
279
|
|
|
|
|
|
|
|
|
280
|
0
|
|
|
|
|
|
$self->finish_io_option('output', -clone => $self->{_in}, -outputheader => 'delay'); |
|
281
|
0
|
|
|
|
|
|
my(@new_cols) = qw(moving_mean moving_stddev); |
|
282
|
0
|
0
|
|
|
|
|
push (@new_cols, "moving_median") if ($self->{_median}); |
|
283
|
0
|
|
|
|
|
|
foreach (@new_cols) { |
|
284
|
|
|
|
|
|
|
$self->{_out}->col_create($_) |
|
285
|
0
|
0
|
|
|
|
|
or croak $self->{_prog} . ": cannot create column $_ (maybe it already existed?)\n"; |
|
286
|
|
|
|
|
|
|
}; |
|
287
|
0
|
|
|
|
|
|
my $write_fastpath_sub = $self->{_out}->fastpath_sub(); |
|
288
|
|
|
|
|
|
|
} |
|
289
|
|
|
|
|
|
|
|
|
290
|
|
|
|
|
|
|
=head2 run |
|
291
|
|
|
|
|
|
|
|
|
292
|
|
|
|
|
|
|
$filter->run(); |
|
293
|
|
|
|
|
|
|
|
|
294
|
|
|
|
|
|
|
Internal: run over each rows. |
|
295
|
|
|
|
|
|
|
|
|
296
|
|
|
|
|
|
|
=cut |
|
297
|
|
|
|
|
|
|
sub run ($) { |
|
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
|
|
|
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Copyright (C) 1991-2015 by John Heidemann |
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410
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411
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This program is distributed under terms of the GNU general |
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412
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public license, version 2. See the file COPYING |
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413
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with the distribution for details. |
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414
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415
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=cut |
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416
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417
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1; |