DBD::SQLite::Cookbook man page on Scientific

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DBD::SQLite::Cookbook(User Contributed Perl DocumentatDBD::SQLite::Cookbook(3)

NAME
       DBD::SQLite::Cookbook - The DBD::SQLite Cookbook

DESCRIPTION
       This is the DBD::SQLite cookbook.

       It is intended to provide a place to keep a variety of functions and
       formals for use in callback APIs in DBD::SQLite.

   Variance
       This is a simple aggregate function which returns a variance. It is
       adapted from an example implementation in pysqlite.

	 package variance;

	 sub new { bless [], shift; }

	 sub step {
	     my ( $self, $value ) = @_;

	     push @$self, $value;
	 }

	 sub finalize {
	     my $self = $_[0];

	     my $n = @$self;

	     # Variance is NULL unless there is more than one row
	     return undef unless $n || $n == 1;

	     my $mu = 0;
	     foreach my $v ( @$self ) {
		 $mu += $v;
	     }
	     $mu /= $n;

	     my $sigma = 0;
	     foreach my $v ( @$self ) {
		 $sigma += ($x - $mu)**2;
	     }
	     $sigma = $sigma / ($n - 1);

	     return $sigma;
	 }

	 # NOTE: If you use an older DBI (< 1.608),
	 # use $dbh->func(..., "create_aggregate") instead.
	 $dbh->sqlite_create_aggregate( "variance", 1, 'variance' );

       The function can then be used as:

	 SELECT group_name, variance(score)
	 FROM results
	 GROUP BY group_name;

   Variance (Memory Efficient)
       A more efficient variance function, optimized for memory usage at the
       expense of precision:

	 package variance2;

	 my $sum   = 0;
	 my $count = 0;
	 my %hash;

	 sub new { bless [], shift; }

	 sub step {
	     my ( $self, $value ) = @_;

	     # by truncating and hashing, we can comsume many more data points
	     $value = int($value); # change depending on need for precision
				   # use sprintf for arbitrary fp precision
	     if (defined $hash{$value}) {
		 $hash{$value}++;
	     } else {
		 $hash{$value} = 1;
	     }
	     $sum += $value;
	     $count++;
	 }

	 sub finalize {
	     my $self = $_[0];

	     # Variance is NULL unless there is more than one row
	     return undef unless $count > 1;

	     # calculate avg
	     my $mu = $sum / $count;

	     my $sigma = 0;
	     foreach my $h (keys %hash) {
		 $sigma += (($h - $mu)**2) * $hash{$h};
	     }
	     $sigma = $sigma / ($count - 1);

	     return $sigma;
	 }

       The function can then be used as:

	 SELECT group_name, variance2(score)
	 FROM results
	 GROUP BY group_name;

   Variance (Highly Scalable)
       A third variable implementation, designed for arbitrarily large data
       sets:

	 package variance;

	 my $mu = 0;
	 my $count = 0;
	 my $S = 0

	 sub new { bless [], shift; }

	 sub step {
	     my ( $self, $value ) = @_;
	     $count++;
	     $delta = $value - $mu;
	     $mu = $mu + $delta/$count
	     $S = $S + $delta*($value - $mu);
	 }

	 sub finalize {
	     my $self = $_[0];
	     return $S / ($count - 1);
	 }

       The function can then be used as:

	 SELECT group_name, variance3(score)
	 FROM results
	 GROUP BY group_name;

SUPPORT
       Bugs should be reported via the CPAN bug tracker at

       <http://rt.cpan.org/NoAuth/ReportBug.html?Queue=DBD-SQLite>

TO DO
       * Add more and varied cookbook recipes, until we have enough to turn
       them into a seperate CPAN distribution.

       * Create a series of tests scripts that validate the cookbook recipies.

AUTHOR
       Adam Kennedy <adamk@cpan.org>

COPYRIGHT
       Copyright 2009 Adam Kennedy.

       This program is free software; you can redistribute it and/or modify it
       under the same terms as Perl itself.

       The full text of the license can be found in the LICENSE file included
       with this module.

perl v5.10.1			  2009-11-23	      DBD::SQLite::Cookbook(3)
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