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database/perl/vendor/lib/DBD/SQLite/Cookbook.pod

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+=head1 NAME
+
+DBD::SQLite::Cookbook - The DBD::SQLite Cookbook
+
+=head1 DESCRIPTION
+
+This is the L<DBD::SQLite> cookbook.
+
+It is intended to provide a place to keep a variety of functions and
+formals for use in callback APIs in L<DBD::SQLite>.
+
+=head1 AGGREGATE FUNCTIONS
+
+=head2 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 ) {
+          $sigma += ($v - $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;
+
+=head2 Variance (Memory Efficient)
+
+A more efficient variance function, optimized for memory usage at the
+expense of precision:
+
+  package variance2;
+  
+  sub new { bless {sum => 0, count=>0, hash=> {} }, shift; }
+  
+  sub step {
+      my ( $self, $value ) = @_;
+      my $hash = $self->{hash};
+  
+      # 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 (exists $hash->{$value}) {
+          $hash->{$value}++;
+      } else {
+          $hash->{$value} = 1;
+      }
+      $self->{sum} += $value;
+      $self->{count}++;
+  }
+  
+  sub finalize {
+      my $self = $_[0];
+  
+      # Variance is NULL unless there is more than one row
+      return undef unless $self->{count} > 1;
+  
+      # calculate avg
+      my $mu = $self->{sum} / $self->{count};
+  
+      my $sigma = 0;
+      while (my ($h, $v) = each %{$self->{hash}}) {
+          $sigma += (($h - $mu)**2) * $v;
+      }
+      $sigma = $sigma / ($self->{count} - 1);
+  
+      return $sigma;
+  }
+
+The function can then be used as:
+
+  SELECT group_name, variance2(score)
+  FROM results
+  GROUP BY group_name;
+
+=head2 Variance (Highly Scalable)
+
+A third variable implementation, designed for arbitrarily large data sets:
+
+  package variance3;
+  
+  sub new { bless {mu=>0, count=>0, S=>0}, shift; }
+  
+  sub step {
+      my ( $self, $value ) = @_;
+      $self->{count}++;
+      my $delta = $value - $self->{mu};
+      $self->{mu} += $delta/$self->{count};
+      $self->{S} += $delta*($value - $self->{mu});
+  }
+  
+  sub finalize {
+      my $self = $_[0];
+      return $self->{S} / ($self->{count} - 1);
+  }
+
+The function can then be used as:
+
+  SELECT group_name, variance3(score)
+  FROM results
+  GROUP BY group_name;
+
+
+=head1 SUPPORT
+
+Bugs should be reported via the CPAN bug tracker at
+
+L<http://rt.cpan.org/NoAuth/ReportBug.html?Queue=DBD-SQLite>
+
+=head1 TO DO
+
+=over
+
+=item * 
+
+Add more and varied cookbook recipes, until we have enough to
+turn them into a separate CPAN distribution.
+
+=item * 
+
+Create a series of tests scripts that validate the cookbook recipes.
+
+=back
+
+=head1 AUTHOR
+
+Adam Kennedy E<lt>adamk@cpan.orgE<gt>
+
+=head1 COPYRIGHT
+
+Copyright 2009 - 2012 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.