let stexaminer run without IDP server reachable
[scpubgit/stemmatology.git] / lib / Text / Tradition / Analysis.pm
index 7eaee51..d9612d7 100644 (file)
@@ -2,376 +2,878 @@ package Text::Tradition::Analysis;
 
 use strict;
 use warnings;
-use Text::Tradition;
+use Algorithm::Diff;  # for word similarity measure
+use Encode qw/ decode_utf8 encode_utf8 /;
+use Exporter 'import';
+use Graph;
+use JSON qw/ to_json decode_json /;
+use LWP::UserAgent;
+use Set::Scalar;
+use Text::Tradition::Analysis::Result;
+use Text::Tradition::Directory;
 use Text::Tradition::Stemma;
+use TryCatch;
+
+use vars qw/ @EXPORT_OK /;
+@EXPORT_OK = qw/ run_analysis group_variants analyze_variant_location wit_stringify /;
+
+my $SOLVER_URL = 'http://byzantini.st/cgi-bin/graphcalc.cgi';
+my $unsolved_problems = {};
+
+=head1 NAME
+
+Text::Tradition::Analysis - functions for stemma analysis of a tradition
+
+=head1 SYNOPSIS
+
+  use Text::Tradition;
+  use Text::Tradition::Analysis qw/ run_analysis analyze_variant_location /;
+  my $t = Text::Tradition->new( 
+    'name' => 'this is a text',
+    'input' => 'TEI',
+    'file' => '/path/to/tei_parallel_seg_file.xml' );
+  $t->add_stemma( 'dotfile' => $stemmafile );
+
+  my $variant_data = run_analysis( $tradition );
+  # Recalculate rank $n treating all orthographic variants as equivalent
+  my $reanalyze = analyze_variant_location( $tradition, $n, 0, 'orthographic' );
+    
+=head1 DESCRIPTION
+
+Text::Tradition is a library for representation and analysis of collated
+texts, particularly medieval ones.  The Collation is the central feature of
+a Tradition, where the text, its sequence of readings, and its relationships
+between readings are actually kept.
+
+=head1 SUBROUTINES
+
+=head2 run_analysis( $tradition, %opts )
+
+Runs the analysis described in analyze_variant_location on every location in the 
+collation of the given tradition, with the given options. These include:
+
+=over 4
+
+=item * stemma_id - Specify which of the tradition's stemmata to use. Default
+is 0 (i.e. the first).
+
+=item * ranks - Specify a list of location ranks to analyze; exclude the rest.
+
+=item * merge_types - Specify a list of relationship types, where related readings 
+should be treated as identical for the purposes of analysis.
+
+=item * exclude_type1 - Exclude those ranks whose groupings have only type-1 variants.
+
+=back
+
+=begin testing
+
+use Text::Tradition;
+use Text::Tradition::Analysis qw/ run_analysis analyze_variant_location /;
+
+my $datafile = 't/data/florilegium_tei_ps.xml';
+my $tradition = Text::Tradition->new( 'input' => 'TEI',
+                                      'name' => 'test0',
+                                      'file' => $datafile );
+my $s = $tradition->add_stemma( 'dotfile' => 't/data/florilegium.dot' );
+is( ref( $s ), 'Text::Tradition::Stemma', "Added stemma to tradition" );
 
-sub new {
-       my( $class, $args ) = @_;
-       my $self = {};
-       bless( $self, $class ); 
-       $self->{'data'} = [];
-       foreach my $t ( @{$args->{'traditions'}} ) {
-           $self->run_analysis( $t->{'file'}, $t->{'stemmadot'} );
+my %expected_genealogical = (
+       1 => 0,
+       2 => 1,
+       3 =>  0,
+       5 =>  0,
+       7 =>  0,
+       8 =>  0,
+       10 => 0,
+       13 => 1,
+       33 => 0,
+       34 => 0,
+       37 => 0,
+       60 => 0,
+       81 => 1,
+       84 => 0,
+       87 => 0,
+       101 => 0,
+       102 => 0,
+       122 => 1,
+       157 => 0,
+       166 => 1,
+       169 => 1,
+       200 => 0,
+       216 => 1,
+       217 => 1,
+       219 => 1,
+       241 => 1,
+       242 => 1,
+       243 => 1,
+);
+
+my $data = run_analysis( $tradition, calcdsn => 'dbi:SQLite:dbname=t/data/analysis.db' );
+my $c = $tradition->collation;
+foreach my $row ( @{$data->{'variants'}} ) {
+       # Account for rows that used to be "not useful"
+       unless( exists $expected_genealogical{$row->{'id'}} ) {
+               $expected_genealogical{$row->{'id'}} = 1;
+       }
+       my $gen_bool = $row->{'genealogical'} ? 1 : 0;
+       is( $gen_bool, $expected_genealogical{$row->{'id'}}, 
+               "Got correct genealogical flag for row " . $row->{'id'} );
+       # Check that we have the right row with the right groups
+       my $rank = $row->{'id'};
+       foreach my $rdghash ( @{$row->{'readings'}} ) {
+               # Skip 'readings' that aren't really
+               next unless $c->reading( $rdghash->{'readingid'} );
+               # Check the rank
+               is( $c->reading( $rdghash->{'readingid'} )->rank, $rank, 
+                       "Got correct reading rank" );
+               # Check the witnesses
+               my @realwits = sort $c->reading_witnesses( $rdghash->{'readingid'} );
+               my @sgrp = sort @{$rdghash->{'group'}};
+               is_deeply( \@sgrp, \@realwits, "Reading analyzed with correct groups" );
        }
-       return $self;
 }
+is( $data->{'variant_count'}, 58, "Got right total variant number" );
+# TODO Make something meaningful of conflict count, maybe test other bits
+
+=end testing
+
+=cut
 
 sub run_analysis {
-       my( $self, $file, $stemmadot ) = @_;
-       # What we will return
-       my $svg;
-       my $variants = [];
-       my $data = {};
-       
-       # Read in the file and stemma   
-       my $tradition = Text::Tradition->new( 
-               'input'  => 'Self',
-               'file'   => $file,
-               'linear' => 1,
-               );
-       $data->{'title'} = $tradition->name;
+       my( $tradition, %opts ) = @_;
+       my $c = $tradition->collation;
+       my $aclabel = $c->ac_label;
+
+       my $stemma_id = $opts{'stemma_id'} || 0;
+       my @ranks = ref( $opts{'ranks'} ) eq 'ARRAY' ? @{$opts{'ranks'}} : ();
+       my $collapse = Set::Scalar->new();
+       if( $opts{'merge_types'} && ref( $opts{'merge_types'} ) eq 'ARRAY' ) {
+               $collapse->insert( @{$opts{'merge_types'}} );
+       } elsif( $opts{'merge_types'} ) {
+               $collapse->insert( $opts{'merge_types'} );
+       }
        
-       my $stemma = Text::Tradition::Stemma->new(
-               'collation' => $tradition->collation,
-               'dot' => $stemmadot,
-               );
-       # We will return the stemma picture
-       $svg = $stemma->as_svg( { size => "8,7.5" } );;
-       $data->{'svg'} = $svg;
+       # Make sure we have a lookup DB for graph calculation results; this will die
+       # if calcdir or calcdsn isn't passed.
+       my $dir;
+       if( exists $opts{'calcdir'} ) {
+               $dir = delete $opts{'calcdir'}
+       } elsif ( exists $opts{'calcdsn'} ) {
+               $dir = Text::Tradition::Directory->new( dsn => $opts{'calcdsn'} );
+       }
+
+       # Get the stemma        
+       my $stemma = $tradition->stemma( $stemma_id );
+
+       # Figure out which witnesses we are working with - that is, the ones that
+       # appear both in the stemma and in the tradition. All others are 'lacunose'
+       # for our purposes.
+       my $lacunose = Set::Scalar->new( $stemma->hypotheticals );
+       my $stemma_wits = Set::Scalar->new( $stemma->witnesses );
+       my $tradition_wits = Set::Scalar->new( map { $_->sigil } $tradition->witnesses );
+       $lacunose->insert( $stemma_wits->symmetric_difference( $tradition_wits )->members );
+
+       # Find and mark 'common' ranks for exclusion, unless they were
+       # explicitly specified.
+       unless( @ranks ) {
+               my %common_rank;
+               foreach my $rdg ( $c->common_readings ) {
+                       $common_rank{$rdg->rank} = 1;
+               }
+               @ranks = grep { !$common_rank{$_} } ( 1 .. $c->end->rank-1 );
+       }
        
-       # We have the collation, so get the alignment table with witnesses in rows.
-       # Also return the reading objects in the table, rather than just the words.
-       my $wits = {};
-       map { $wits->{$_} = 1 } $stemma->witnesses;
-       my $all_wits_table = $tradition->collation->make_alignment_table( 'refs', $wits );
+       # Group the variants to send to the solver
+       my @groups;
+       my @use_ranks;
+       my %lacunae;
+       my $moved = {};
+       foreach my $rank ( @ranks ) {
+               my $missing = $lacunose->clone();
+               my $rankgroup = group_variants( $tradition, $rank, $missing, $moved, $collapse );
+               # Filter out any empty rankgroups 
+               # (e.g. from the later rank for a transposition)
+               next unless keys %$rankgroup;
+               # Get the graph for this rankgroup
+               my $rankgraph = _graph_for_grouping( $stemma, $rankgroup, $missing, $aclabel );
+               if( $opts{'exclude_type1'} ) {
+                       # Check to see whether this is a "useful" group.
+                       next unless _useful_variant( $rankgroup, $rankgraph, $aclabel );
+               }
+               push( @use_ranks, $rank );
+               push( @groups, { grouping => $rankgroup, graph => $rankgraph } );
+               $lacunae{$rank} = $missing;
+       }
+       # Run the solver
+       my $answer;
+       try {
+               $answer = solve_variants( $dir, @groups );
+       } catch ( Text::Tradition::Error $e ) {
+               if( $e->message =~ /IDP/ ) {
+                       # Something is wrong with the solver; make the variants table anyway
+                       $answer->{'variants'} = [];
+                       map { push( @{$answer->{'variants'}}, _init_unsolved( $_, 'IDP error' ) ) }
+                               @groups;
+               } else {
+                       # Something else is wrong; error out.
+                       $e->throw;
+               }
+       }
+
+       # Do further analysis on the answer
+       my $conflict_count = 0;
+       my $reversion_count = 0;
+       foreach my $idx ( 0 .. $#use_ranks ) {
+               my $location = $answer->{'variants'}->[$idx];
+               # Add the rank back in
+               my $rank = $use_ranks[$idx];
+               $location->{'id'} = $rank;
+               # Note what our lacunae are
+               my %lmiss;
+               map { $lmiss{$_} = 1 } @{$lacunae{$use_ranks[$idx]}};
+               $location->{'missing'} = [ keys %lmiss ];
+               
+               # Run the extra analysis we need.
+               ## TODO We run through all the variants in this call, so
+               ## why not add the reading data there instead of here below?
+               my $graph = $groups[$idx]->{graph};
+               analyze_location( $tradition, $graph, $location, \%lmiss );
+
+               my @layerwits;
+               # Do the final post-analysis tidying up of the data.
+               foreach my $rdghash ( @{$location->{'readings'}} ) {
+                       $conflict_count++ if $rdghash->{'is_conflict'};
+                       $reversion_count++ if $rdghash->{'is_reverted'};
+                       # Add the reading text back in, setting display value as needed
+                       my $rdg = $c->reading( $rdghash->{'readingid'} );
+                       if( $rdg ) {
+                               $rdghash->{'text'} = $rdg->text . 
+                                       ( $rdg->rank == $rank ? '' : ' [' . $rdg->rank . ']' );
+                               $rdghash->{'is_ungrammatical'} = $rdg->grammar_invalid;
+                               $rdghash->{'is_nonsense'} = $rdg->is_nonsense;
+                       }
+                       # Remove lacunose witnesses from this reading's list now that the
+                       # analysis is done 
+                       my @realgroup;
+                       map { push( @realgroup, $_ ) unless $lmiss{$_} } @{$rdghash->{'group'}};
+                       $rdghash->{'group'} = \@realgroup;
+                       # Note any layered witnesses that appear in this group
+                       foreach( @realgroup ) {
+                               if( $_ =~ /^(.*)\Q$aclabel\E$/ ) {
+                                       push( @layerwits, $1 );
+                               }
+                       }
+               }
+               $location->{'layerwits'} = \@layerwits if @layerwits;
+       }
+       $answer->{'conflict_count'} = $conflict_count;
+       $answer->{'reversion_count'} = $reversion_count;
        
-       # For each column in the alignment table, we want to see if the existing
-       # groupings of witnesses match our stemma hypothesis. We also want, at the
-       # end, to produce an HTML table with all the variants.
-       my $html_columns = 0;
-       my ( $total, $genealogical, $conflicts ) = ( 0, 0, 0 );
+       return $answer;
+}
+
+=head2 group_variants( $tradition, $rank, $lacunose, $transposed, $merge_relationship_types )
+
+Groups the variants at the given $rank of the collation, treating any
+relationships in the set $merge_relationship_types as equivalent. 
+$lacunose should be a reference to an array, to which the sigla of lacunose
+witnesses at this rank will be appended; $transposed should be a reference
+to a hash, wherein the identities of transposed readings and their
+relatives will be stored.
+
+Returns a hash $group_readings where $rdg is attested by the witnesses listed 
+in $group_readings->{$rdg}.
+
+=cut
+
+# Return group_readings, groups, lacunose
+sub group_variants {
+       my( $tradition, $rank, $lacunose, $transposed, $collapse ) = @_;
+       my $c = $tradition->collation;
+       my $aclabel = $c->ac_label;
+       my $table = $c->alignment_table;
+       # Get the alignment table readings
+       my %readings_at_rank;
+       my $check_for_gaps = Set::Scalar->new();
+       my %moved_wits;
+       my $has_transposition;
+       foreach my $tablewit ( @{$table->{'alignment'}} ) {
+               my $rdg = $tablewit->{'tokens'}->[$rank-1];
+               my $wit = $tablewit->{'witness'};
+               # Exclude the witness if it is "lacunose" which if we got here
+               # means "not in the stemma".
+               next if _is_lacunose( $wit, $lacunose, $aclabel );
+               # Note if the witness is actually in a lacuna
+               if( $rdg && $rdg->{'t'}->is_lacuna ) {
+                       _add_to_witlist( $wit, $lacunose, $aclabel );
+               # Otherwise the witness either has a positive reading...
+               } elsif( $rdg ) {
+                       # If the reading has been counted elsewhere as a transposition, ignore it.
+                       if( $transposed->{$rdg->{'t'}->id} ) {
+                               # TODO Does this cope with three-way transpositions?
+                               map { $moved_wits{$_} = 1 } @{$transposed->{$rdg->{'t'}->id}};
+                               next;
+                       }
+                       # Otherwise, record it...
+                       $readings_at_rank{$rdg->{'t'}->id} = $rdg->{'t'};
+                       # ...and grab any transpositions, and their relations.
+                       my @transp = grep { $_->rank != $rank } $rdg->{'t'}->related_readings();
+                       foreach my $trdg ( @transp ) {
+                               next if exists $readings_at_rank{$trdg->id};
+                               $has_transposition = 1;
+                               my @affected_wits = _table_witnesses( 
+                                       $table, $trdg, $lacunose, $aclabel );
+                               next unless @affected_wits;
+                               map { $moved_wits{$_} = 1 } @affected_wits;
+                               $transposed->{$trdg->id} = 
+                                       [ _table_witnesses( $table, $rdg->{'t'}, $lacunose, $aclabel ) ];
+                               $readings_at_rank{$trdg->id} = $trdg;
+                       }
+               # ...or it is empty, ergo a gap.
+               } else {
+                       _add_to_witlist( $wit, $check_for_gaps, $aclabel );
+               }
+       }
+       my $gap_wits = Set::Scalar->new();
+       map { _add_to_witlist( $_, $gap_wits, $aclabel ) 
+               unless $moved_wits{$_} } $check_for_gaps->members;
+               
+       # Group the readings, collapsing groups by relationship if needed.      
+       my $grouped_readings = {};
+       foreach my $rdg ( values %readings_at_rank ) {
+               # Skip readings that have been collapsed into others.
+               next if exists $grouped_readings->{$rdg->id} 
+                       && $grouped_readings->{$rdg->id} eq 'COLLAPSE';
+               # Get the witness list, including from readings collapsed into this one.
+               my @wits = _table_witnesses( $table, $rdg, $lacunose, $aclabel );
+               if( $collapse && $collapse->size ) {
+                       my $filter = sub { $collapse->has( $_[0]->type ) };
+                       foreach my $other ( $rdg->related_readings( $filter ) ) {
+                               my @otherwits = _table_witnesses( $table, $other, $lacunose, $aclabel );
+                               push( @wits, @otherwits );
+                               $grouped_readings->{$other->id} = 'COLLAPSE';
+                       }
+               }
+               $grouped_readings->{$rdg->id} = Set::Scalar->new( @wits );
+       }
+       if( $gap_wits->members ) {
+               $grouped_readings->{'(omitted)'} = $gap_wits;
+       }
        
-       # Strip the list of sigla and save it for correlation to the readings.
-       my $col_wits = shift @$all_wits_table;
+       # Get rid of our collapsed readings
+       map { delete $grouped_readings->{$_} if(
+                        $grouped_readings->{$_} eq 'COLLAPSE'
+                        || $grouped_readings->{$_}->is_empty ) } 
+               keys %$grouped_readings;
+               
+       # If something was transposed, check the groups for doubled-up readings
+       if( $has_transposition ) {
+               # print STDERR "Group for rank $rank:\n";
+               # map { print STDERR "\t$_: " . join( ' ' , @{$grouped_readings->{$_}} ) . "\n" } 
+               #       keys %$grouped_readings;
+               _check_transposed_consistency( $c, $rank, $transposed, $grouped_readings );
+       }
        
-       # We will return a data structure, an array for each row that looks like:
-       # { id = X, genealogical = Y, readings = [ text = X, group = Y], empty = N }
-       foreach my $i ( 0 .. $#$all_wits_table ) {
-               # For each column in the table, group the readings by witness.
-               my $rdg_wits = {};
-               my $col_rdgs = shift @$all_wits_table;
-               my $rank;
-               my $lacunose = [];
-               foreach my $j ( 0 .. $#{$col_rdgs} ) {
-                       my $rdg = $col_rdgs->[$j];
-                       my $rdg_text = '(omitted)';  # Initialize in case of empty reading
-                       if( $rdg ) {
-                           if( $rdg->is_lacuna ) {
-                               $rdg_text = undef;   # Don't count lacunae
-                               push( @$lacunose, $col_wits->[$j] );
-                           } else {
-                               $rdg_text = $rdg->text; 
-                                   # Get the rank from any real reading; they should be identical.
-                                   $rank = $rdg->rank;
+       # Return the result
+       return $grouped_readings;
+}
+
+# Helper function to query the alignment table for all witnesses (a.c. included)
+# that have a given reading at its rank.
+sub _table_witnesses {
+       my( $table, $trdg, $lacunose, $aclabel ) = @_;
+       my $tableidx = $trdg->rank - 1;
+       my $has_reading = Set::Scalar->new();
+       foreach my $row ( @{$table->{'alignment'}} ) {
+               my $wit = $row->{'witness'};
+               next if _is_lacunose( $wit, $lacunose, $aclabel );
+               my $rdg = $row->{'tokens'}->[$tableidx];
+               next unless exists $rdg->{'t'} && defined $rdg->{'t'};
+               _add_to_witlist( $wit, $has_reading, $aclabel )
+                       if $rdg->{'t'}->id eq $trdg->id;
+       }
+       return $has_reading->members;
+}
+
+# Helper function to see if a witness is lacunose even if we are asking about
+# the a.c. version
+sub _is_lacunose {
+       my ( $wit, $lac, $acstr ) = @_;
+       if( $wit =~ /^(.*)\Q$acstr\E$/ ) {
+               $wit = $1;
+       }
+       return $lac->has( $wit );
+}
+
+# Helper function to ensure that X and X a.c. never appear in the same list.
+sub _add_to_witlist {
+       my( $wit, $list, $acstr ) = @_;
+       if( $wit =~ /^(.*)\Q$acstr\E$/ ) {
+               # Don't add X a.c. if we already have X 
+               return if $list->has( $1 );
+       } else {
+               # Delete X a.c. if we are about to add X
+               $list->delete( $wit.$acstr );
+       }
+       $list->insert( $wit );
+}
+
+sub _check_transposed_consistency {
+       my( $c, $rank, $transposed, $groupings ) = @_;
+       my %seen_wits;
+       my %thisrank;
+       # Note which readings are actually at this rank, and which witnesses
+       # belong to which reading.
+       foreach my $rdg ( keys %$groupings ) {
+               my $rdgobj = $c->reading( $rdg );
+               # Count '(omitted)' as a reading at this rank
+               $thisrank{$rdg} = 1 if !$rdgobj || $rdgobj->rank == $rank;
+               map { push( @{$seen_wits{$_}}, $rdg ) } @{$groupings->{$rdg}};
+       }
+       # Our work is done if we have no witness belonging to more than one
+       # reading.
+       my @doubled = grep { scalar @{$seen_wits{$_}} > 1 } keys %seen_wits;
+       return unless @doubled;
+       # If we have a symmetric related transposition, drop the non-rank readings.
+       if( @doubled == scalar keys %seen_wits ) {
+               foreach my $rdg ( keys %$groupings ) {
+                       if( !$thisrank{$rdg} ) {
+                               my $groupstr = wit_stringify( $groupings->{$rdg} );
+                               my ( $matched ) = grep { $groupstr eq wit_stringify( $groupings->{$_} ) }
+                                       keys %thisrank;
+                               delete $groupings->{$rdg};
+                               # If we found a group match, assume there is a symmetry happening.
+                               # TODO think more about this
+                               # print STDERR "*** Deleting symmetric reading $rdg\n";
+                               unless( $matched ) {
+                                       delete $transposed->{$rdg};
+                                       warn "Found problem in evident symmetry with reading $rdg";
                                }
                        }
-                       if( defined $rdg_text ) {
-                               # Initialize the witness array if we haven't got one yet
-                               $rdg_wits->{$rdg_text} = [] unless $rdg_wits->{$rdg_text};
-                               # Add the relevant witness, subject to a.c. logic
-                               add_variant_wit( $rdg_wits->{$rdg_text}, $col_wits->[$j],
-                                       $tradition->collation->ac_label );
+               }
+       # Otherwise 'unhook' the transposed reading(s) that have duplicates.
+       } else {
+               foreach my $dup ( @doubled ) {
+                       foreach my $rdg ( @{$seen_wits{$dup}} ) {
+                               next if $thisrank{$rdg};
+                               next unless exists $groupings->{$rdg};
+                               # print STDERR "*** Deleting asymmetric doubled-up reading $rdg\n";
+                               delete $groupings->{$rdg};
+                               delete $transposed->{$rdg};
+                       }
+               }
+               # and put any now-orphaned readings into an 'omitted' reading.
+               foreach my $wit ( keys %seen_wits ) {
+                       unless( grep { exists $groupings->{$_} } @{$seen_wits{$wit}} ) {
+                               $groupings->{'(omitted)'} = Set::Scalar->new()
+                                        unless exists $groupings->{'(omitted)'};
+                               _add_to_witlist( $wit, $groupings->{'(omitted)'}, $c->ac_label );
                        }
                }
+       }
+}
+
+# For the given grouping, return its situation graph based on the stemma.
+sub _graph_for_grouping {
+       my( $stemma, $grouping, $lacunose, $aclabel ) = @_;
+       my $acwits = [];
+       my $extant = {};
+       foreach my $gs ( values %$grouping ) {
+               map { 
+                       if( $_ =~ /^(.*)\Q$aclabel\E$/ ) {
+                               push( @$acwits, $1 ) unless $lacunose->has( $1 );
+                       } else {
+                               $extant->{$_} = 1 unless $lacunose->has( $_ );
+                       }
+               } $gs->members;
+       }
+       my $graph;
+       try {
+               # contig contains all extant wits and all hypothetical wits
+               # needed to make up the groups.
+               $graph = $stemma->situation_graph( $extant, $acwits );
+       } catch ( Text::Tradition::Error $e ) {
+               throw( "Could not extend graph with given extant and a.c. witnesses: "
+                       . $e->message );
+       } catch {
+               throw( "Could not extend graph with a.c. witnesses @$acwits" );
+       }
+       return $graph;
+}
+
+=head2 solve_variants( $calcdir, @groups ) 
+
+Looks up the set of groups in the answers provided by the external graph solver 
+service and returns a cleaned-up answer, adding the rank IDs back where they belong.
+
+The answer has the form 
+  { "variants" => [ array of variant location structures ],
+    "variant_count" => total,
+    "conflict_count" => number of conflicts detected,
+    "genealogical_count" => number of solutions found }
+    
+=cut
+
+sub solve_variants {
+       my( @groups ) = @_;
+       
+       # Are we using a local result directory, or did we pass an empty value
+       # for the directory?
+       my $dir;
+       unless( ref( $groups[0] ) eq 'HASH' ) {
+               $dir = shift @groups;
+       }
+
+       ## For each graph/group combo, make a Text::Tradition::Analysis::Result
+       ## object so that we can send it off for IDP lookup.
+       my $variants = [];
+       my $genealogical = 0; # counter
+       # TODO Optimize for unique graph problems
+       my %problems;
+       foreach my $graphproblem ( @groups ) {
+               # Construct the calc result key and look up its answer
+               my $problem = Text::Tradition::Analysis::Result->new(
+                       graph => $graphproblem->{'graph'},
+                       setlist => [ values %{$graphproblem->{'grouping'}} ] );
+               if( exists $problems{$problem->object_key} ) {
+                       $problem = $problems{$problem->object_key};
+               } else {
+                       $problems{$problem->object_key} = $problem;
+               }
+               $graphproblem->{'object'} = $problem;
+       }
+       
+       my %results;
+       if( $dir ) {
+               my $scope = $dir->new_scope;
+               map { $results{$_} = $dir->lookup( $_ ) || $problems{$_} } keys %problems;
+       } else {
+               my $json = JSON->new->allow_blessed->convert_blessed->utf8->encode( 
+                       [ values %problems ] );
+               # Send it off and get the result
+               # print STDERR "Sending request: " . decode_utf8( $json ) . "\n";
+               my $ua = LWP::UserAgent->new();
+               my $resp = $ua->post( $SOLVER_URL, 'Content-Type' => 'application/json', 
+                                                         'Content' => $json ); 
+               my $answer;     
+               if( $resp->is_success ) {
+                       $answer = decode_json( $resp->content );
+                       throw( "Unexpected answer from IDP: $answer" ) unless ref( $answer ) eq 'ARRAY';
+               } else {
+                       throw( "IDP solver returned " . $resp->status_line . " / " . $resp->content
+                               . "; cannot run graph analysis" );
+               }
+               # One more sanity check
+               throw( "Something went wrong with answer symmetricity" )
+                       unless keys( %problems ) == @$answer;
+               # Convert the results
+               foreach my $a ( @$answer ) {
+                       my $r = Text::Tradition::Analysis::Result->new( $a );
+                       $results{$r->object_key} = $r;
+               }
+       }
+       
+       # We now have a single JSON-encoded Result object per problem sent. Fold its
+       # answers into our variant info structure.
+       foreach my $graphproblem ( @groups ) {
+               my $result = $results{$graphproblem->{'object'}->object_key}
+                       || $graphproblem->{'object'};
                
-               # See if this column has any potentially genealogical variants.
-               # If not, skip to the next.
-               $total++ unless scalar keys %$rdg_wits == 1;
-               my( $groups, $readings ) = useful_variant( $rdg_wits );
-               next unless $groups && $readings;  
-               
-               # Keep track of our widest row
-               $html_columns = scalar @$groups if scalar @$groups > $html_columns;
+               # Initialize the result structure for this graph problem
+               my $vstruct;
+               if( $result->status eq 'OK' ) {
+                       $vstruct = { readings => [] };
+                       push( @$variants, $vstruct );
+               } else {
+                       push( @$variants, _init_unsolved( $graphproblem, $result->status ) );
+                       next;
+               }
+                               
+               # 1. Did the group evaluate as genealogical?
+               $vstruct->{genealogical} = $result->is_genealogical;
+               $genealogical++ if $result->is_genealogical;
                
-               # We can already look up witnesses for a reading; we also want to look
-               # up readings for a given witness.
-               my $group_readings = {};
-               foreach my $x ( 0 .. $#$groups ) {
-                       $group_readings->{wit_stringify( $groups->[$x] )} = $readings->[$x];
+               # 2. What are the calculated minimum groupings for each variant loc?
+               foreach my $rid ( keys %{$graphproblem->{grouping}} ) {
+                       my $inputset = $graphproblem->{grouping}->{$rid};
+                       my $minset = $result->minimum_grouping_for( $inputset );
+                       push( @{$vstruct->{readings}}, { readingid => $rid, group => $minset } );
                }
                
-               # For all the groups with more than one member, collect the list of all
-               # contiguous vertices needed to connect them.
-               $DB::single = 1;
-               my $variant_row = analyze_variant_location( $group_readings, $groups, 
-                   $stemma->graph, $lacunose );
-               $variant_row->{'id'} = $rank;
-               $genealogical++ if $variant_row->{'genealogical'};
-               $conflicts += grep { $_->{'conflict'} } @{$variant_row->{'readings'}};
-
-               # Now run the same analysis given the calculated distance tree(s).
-#              my @trees = @{$stemma->distance_trees};
-#              if( @trees ) {
-#             foreach my $tree ( 0 .. $#trees ) {
-#                 my $dc = analyze_variant_location( $group_readings, $groups, $tree, $lacunose, 'undirected' );
-#                 foreach my $rdg ( keys %$dc ) {
-#                     my $var = $dc->{$rdg};
-#                     # TODO Do something with this
-#                 }
-#             }
-#          }
-
-               # Record that we used this variant in an analysis
-               push( @$variants, $variant_row );
+               # 3. What are the sources and classes calculated for each witness?
+               $vstruct->{witcopy_types} = { $result->classes };
+               $vstruct->{reading_roots} = {};
+               map { $vstruct->{reading_roots}->{$_} = 1 } $result->sources;
+               
        }
        
-       # Go through our variant rows, after we have seen all of them once,
-       # and add the number of empty columns needed by each.
-       foreach my $row ( @$variants ) {
-               my $empty = $html_columns - scalar @{$row->{'readings'}};
-               $row->{'empty'} = $empty;
+       return { 'variants' => $variants, 
+                        'variant_count' => scalar @$variants,
+                        'genealogical_count' => $genealogical };
+}
+
+sub _init_unsolved {
+       my( $graphproblem, $status ) = @_;
+       my $vstruct = { 'readings' => [] };
+       $vstruct->{'unsolved'} = $status;
+       foreach my $rid ( keys %{$graphproblem->{grouping}} ) {
+               push( @{$vstruct->{readings}}, { readingid => $rid, 
+                       group => [ $graphproblem->{grouping}->{$rid}->members ] } );
        }
-       
-       # Populate self with our analysis data.
-       $data->{'variants'} = $variants;
-       $data->{'variant_count'} = $total;
-       $data->{'conflict_count'} = $conflicts;
-       $data->{'genealogical_count'} = $genealogical;
-       push( @{$self->{'data'}}, $data );
+       return $vstruct;
 }
 
-# variant_row -> genealogical
-#             -> readings [ { text, group, conflict, missing } ]
-
-sub analyze_variant_location {
-    my( $group_readings, $groups, $graph, $lacunose, $undirected ) = @_;
-    my $contig = {};
-    my $subgraph = {};
-    my $is_conflicted;
-    my $conflict = {};
-    my $missing = {};
-    map { $missing->{$_} = 1 } @$lacunose;
-    my $variant_row = { 'readings' => [] };
-    # Mark each ms as in its own group, first.
-    foreach my $g ( @$groups ) {
-        my $gst = wit_stringify( $g );
-        map { $contig->{$_} = $gst } @$g;
-    }
-    # Now for each unmarked node in the graph, initialize an array
-    # for possible group memberships.  We will use this later to
-    # resolve potential conflicts.
-    map { $contig->{$_} = [] unless $contig->{$_} } $graph->vertices;
-    foreach my $g ( sort { scalar @$b <=> scalar @$a } @$groups ) {
-        my $gst = wit_stringify( $g );  # This is the group name
-        my $reachable = { $g->[0] => 1 };
-        # Copy the graph, and delete all non-members from the new graph.
-        my $part = $graph->copy;
-        my $group_root;
-        $part->delete_vertices( 
-            grep { !ref( $contig->{$_} ) && $contig->{$_} ne $gst } $graph->vertices );
-                
-        # Now look to see if our group is connected.
-        if( $undirected ) { # For use with distance trees etc.
-            # Find all vertices reachable from the first (arbitrary) group
-            # member.  If we are genealogical this should include them all. 
-            map { $reachable->{$_} = 1 } $part->all_reachable( $g->[0] );
-            # TODO This is a terrible way to do distance trees, since all
-            # non-leaf nodes are included in every graph part now. We may
-            # have to go back to SPDP.
-        } else {
-            if( @$g > 1 ) {
-                # Dispense with the trivial case of one reading.
-                # We have to take directionality into account.
-                # How many root nodes do we have?
-                my @roots = grep { ref( $contig->{$_} ) || $contig->{$_} eq $gst } 
-                    $part->source_vertices;
-                # Assuming that @$g > 1, find the first root node that has at
-                # least one successor belonging to our group. If this reading
-                # is genealogical, there should be only one, but we will check
-                # that implicitly later.
-                my $nodes_in_subtree = 0;
-                foreach my $root ( @roots ) {
-                    # Prune the tree to get rid of extraneous hypotheticals.
-                    $root = prune_subtree( $part, $root, $contig );
-                    # Get all the successor nodes of our root.
-                    my $tmp_reach = { $root => 1 };
-                    map { $tmp_reach->{$_} = 1 } $part->all_successors( $root );
-                    # Skip this root if none of our successors are in our group
-                    # (e.g. isolated 'hypothetical' witnesses with no group)
-                    next unless grep { $contig->{$_} } keys %$tmp_reach;
-                    if( keys %$tmp_reach > $nodes_in_subtree ) {
-                        $nodes_in_subtree = keys %$tmp_reach;
-                        $reachable = $tmp_reach;
-                        $group_root = $root;
-                    }
-                }
-            } # else it is a single-node group, nothing to calculate.
-        }
-        
-        # None of the 'reachable' nodes should be marked as being in another 
-        # group.  Paint the 'hypotheticals' with our group while we are at it,
-        # unless there is a conflict present.
-        foreach ( keys %$reachable ) {
-            if( ref $contig->{$_} ) {
-                push( @{$contig->{$_}}, $gst );
-            } elsif( $contig->{$_} ne $gst ) {
-                $conflict->{$group_readings->{$gst}} = $group_readings->{$contig->{$_}};
-            } # else it is an 'extant' node marked with our group already.
-        }
-        # None of the unreachable nodes should be in our group either.
-        foreach ( $part->vertices ) {
-            next if $reachable->{$_};
-            if( $contig->{$_} eq $gst ) {
-                $conflict->{$group_readings->{$gst}} = $group_readings->{$gst};
-                last;
-            }
-        }
-        
-        # Now, if we have a conflict, we can write the reading in full.  If not, 
-        # we have to save the subgraph so that we can resolve possible conflicts 
-        # on hypothetical nodes.
-        $is_conflicted = 1 if exists $conflict->{$group_readings->{$gst}};
-        
-        # Write the reading.
-        my $reading = { 'text' => $group_readings->{$gst},
-                        'missing' => wit_stringify( $lacunose ),
-                        'group' => $gst };  # This will change if we find no conflict
-        if( $is_conflicted ) {
-            $reading->{'conflict'} = $conflict->{$group_readings->{$gst}}
-        } else {
-            # Save the relevant subgraph.
-            $subgraph->{$gst} = { 'graph' => $part,
-                                'root' => $group_root,
-                                'reachable' => $reachable };
-        }
-        push( @{$variant_row->{'readings'}}, $reading );
-    }
-    
-    # Now that we have gone through all the rows, check the hypothetical
-    # readings for conflict if we haven't found one yet.
-    if( keys %$subgraph && !keys %$conflict ) {
-        my @resolve;
-        foreach ( keys %$contig ) {
-            next unless ref $contig->{$_};
-            if( scalar @{$contig->{$_}} > 1 ) {
-                push( @resolve, $_ );
-            } else {
-                $contig->{$_} = scalar @{$contig->{$_}} ? $contig->{$_}->[0] : '';
-            }
-        }
-        # Do we still have a possible conflict?
-        my $still_contig = {};
-        foreach my $h ( @resolve ) {
-            # For each of the hypothetical readings with more than one possibility,
-            # try deleting it from each of its member subgraphs in turn, and see
-            # if that breaks the contiguous grouping.
-            # TODO This can still break in a corner case where group A can use 
-            # either vertex 1 or 2, and group B can use either vertex 2 or 1.
-            # Revisit this if necessary; it could get brute-force nasty.
-            foreach my $gst ( @{$contig->{$h}} ) {
-                my $gpart = $subgraph->{$gst}->{'graph'}->copy;
-                my $reachable = $subgraph->{$gst}->{'reachable'};
-                $gpart->delete_vertex( $h );
-                # Is everything else still reachable from the root?
-                # TODO If $h was the root, see if we still have a single root.
-                my %still_reachable = ( $subgraph->{$gst}->{'root'} => 1 );
-                map { $still_reachable{$_} = 1 }
-                    $gpart->all_successors( $subgraph->{$gst}->{'root'} );
-                foreach my $v ( keys %$reachable ) {
-                    next if $v eq $h;
-                    if( !$still_reachable{$v}
-                        && ( $contig->{$v} eq $gst 
-                             || ( exists $still_contig->{$v} 
-                                  && $still_contig->{$v} eq $gst ) ) ) {
-                        # We need $h.
-                        if( exists $still_contig->{$h} ) {
-                            # Conflict!
-                            $conflict->{$group_readings->{$gst}} = 
-                                $group_readings->{$still_contig->{$h}};
-                        } else {
-                            $still_contig->{$h} = $gst;
-                        }
-                        last;
-                    } # else we don't need $h in this group.
-                }
-            }
+=head2 analyze_location ( $tradition, $graph, $location_hash )
+
+Given the tradition, its stemma graph, and the solution from the graph solver,
+work out the rest of the information we want.  For each reading we need missing, 
+conflict, reading_parents, independent_occurrence, followed, not_followed,
+and follow_unknown.  Alters the location_hash in place.
+
+=cut
+
+sub analyze_location {
+       my ( $tradition, $graph, $variant_row, $lacunose ) = @_;
+       my $c = $tradition->collation;
+       
+       if( exists $variant_row->{'unsolved'} ) {
+               return;
+       }
+       my $reading_roots = delete $variant_row->{'reading_roots'};
+       my $classinfo = delete $variant_row->{'witcopy_types'};
+       
+       # Make a hash of all known node memberships, and make the subgraphs.
+       my $contig = {};
+       my $subgraph = {};
+       my $acstr = $c->ac_label;
+       my @acwits;
+       
+       # Note which witnesses positively belong to which group. This information
+       # comes ultimately from the IDP solver.
+       # Also make a note of the reading's roots.
+    foreach my $rdghash ( @{$variant_row->{'readings'}} ) {
+       my $rid = $rdghash->{'readingid'};
+       my @roots;
+       foreach my $wit ( @{$rdghash->{'group'}} ) {
+               $contig->{$wit} = $rid;
+           if( $wit =~ /^(.*)\Q$acstr\E$/ ) {
+               push( @acwits, $1 );
+           }
+           if( exists $reading_roots->{$wit} && $reading_roots->{$wit} ) {
+               push( @roots, $wit );
+           }
+       }
+               $rdghash->{'independent_occurrence'} = \@roots;
+       }
+                       
+       # Now that we have all the node group memberships, calculate followed/
+    # non-followed/unknown values for each reading.  Also figure out the
+    # reading's evident parent(s).
+    foreach my $rdghash ( @{$variant_row->{'readings'}} ) {
+        my $rid = $rdghash->{'readingid'};
+        my $rdg = $c->reading( $rid );
+        my @roots = @{$rdghash->{'independent_occurrence'}};
+        my @reversions;
+        if( $classinfo ) {
+               @reversions = grep { $classinfo->{$_} eq 'revert' } 
+                       $rdghash->{'group'}->members;
+               $rdghash->{'reversions'} = \@reversions;
         }
+        my @group = @{$rdghash->{'group'}};
         
-        # Now, assuming no conflict, we have some hypothetical vertices in
-        # $still_contig that are the "real" group memberships.  Replace these
-        # in $contig.
-        unless ( keys %$conflict ) {
-            foreach my $v ( keys %$contig ) {
-                next unless ref $contig->{$v};
-                $contig->{$v} = $still_contig->{$v};
-            }
-        }
-    }
-            
-    # Now write the group and conflict information into the respective rows.
-    foreach my $rdg ( @{$variant_row->{'readings'}} ) {
-        $rdg->{'conflict'} = $conflict->{$rdg->{'text'}};
-        next if $rdg->{'conflict'};
-        my @members = grep { $contig->{$_} eq $rdg->{'group'} && !$missing->{$_} } 
-            keys %$contig;
-        $rdg->{'group'} = wit_stringify( \@members );
+        # Start figuring things out.  
+        $rdghash->{'followed'} = scalar( @group ) 
+               - ( scalar( @roots ) + scalar( @reversions ) );
+        # Find the parent readings, if any, of this reading.
+        my $sourceparents = _find_reading_parents( $rid, $graph, $contig, @roots );
+               # Work out relationships between readings and their non-followed parent.
+               _resolve_parent_relationships( $c, $rid, $rdg, $sourceparents );
+               $rdghash->{'source_parents'} = $sourceparents;
+
+               if( @reversions ) {
+                       my $revparents = _find_reading_parents( $rid, $graph, $contig, @reversions );
+                       _resolve_parent_relationships( $c, $rid, $rdg, $revparents );
+                       $rdghash->{'reversion_parents'} = $revparents;
+               }
+               
+               # Find the number of times this reading was altered, and the number of
+               # times we're not sure.
+               my( %nofollow, %unknownfollow );
+               foreach my $wit ( @{$rdghash->{'group'}} ) {
+                       foreach my $wchild ( $graph->successors( $wit ) ) {
+                               if( $reading_roots->{$wchild} && $contig->{$wchild}
+                                       && $contig->{$wchild} ne $rid ) {
+                                       # It definitely changed here.
+                                       $nofollow{$wchild} = 1;
+                               } elsif( !($contig->{$wchild}) ) {
+                                       # The child is a hypothetical node not definitely in
+                                       # any group. Answer is unknown.
+                                       $unknownfollow{$wchild} = 1;
+                               } # else it is either in our group, or it is a non-root node in a 
+                                 # known group and therefore is presumed to have its reading from 
+                                 # its group, not this link.
+                       }
+               }
+               $rdghash->{'not_followed'} = keys %nofollow;
+               $rdghash->{'follow_unknown'} = keys %unknownfollow;
+               
+               # Now say whether this reading represents a conflict.
+               unless( $variant_row->{'genealogical'} ) {
+                       $rdghash->{'is_conflict'} = @roots != 1;
+                       $rdghash->{'is_reverted'} = scalar @reversions;
+               }               
     }
-    
-    $variant_row->{'genealogical'} = !( keys %$conflict );
-    return $variant_row;
 }
 
-sub prune_subtree {
-    my( $tree, $root, $contighash ) = @_;
-    # First, delete hypothetical leaves / orphans until there are none left.
-    my @orphan_hypotheticals = grep { ref( $contighash->{$_} ) } 
-        $tree->successorless_vertices;
-    while( @orphan_hypotheticals ) {
-        $tree->delete_vertices( @orphan_hypotheticals );
-        @orphan_hypotheticals = grep { ref( $contighash->{$_} ) } 
-            $tree->successorless_vertices;
-    }
-    # Then delete a hypothetical root with only one successor, moving the
-    # root to the child.
-    while( $tree->successors( $root ) == 1 && ref $contighash->{$root} ) {
-        my @nextroot = $tree->successors( $root );
-        $tree->delete_vertex( $root );
-        $root = $nextroot[0];
-    }
-    # The tree has been modified in place, but we need to know the new root.
-    return $root;
+sub _find_reading_parents {
+       my( $rid, $graph, $contig, @list ) = @_;
+       my $parenthash = {};
+       foreach my $wit ( @list ) {
+               # Look in the stemma graph to find this witness's extant or known-reading
+               # immediate ancestor(s), and look up the reading that each ancestor holds.
+               my @check = $graph->predecessors( $wit );
+               while( @check ) {
+                       my @next;
+                       foreach my $wparent( @check ) {
+                               my $preading = $contig->{$wparent};
+                               if( $preading && $preading ne $rid ) {
+                                       $parenthash->{$preading} = 1;
+                               } else {
+                                       push( @next, $graph->predecessors( $wparent ) );
+                               }
+                       }
+                       @check = @next;
+               }
+       }
+       return $parenthash;
 }
-# Add the variant, subject to a.c. representation logic.
-# This assumes that we will see the 'main' version before the a.c. version.
-sub add_variant_wit {
-    my( $arr, $wit, $acstr ) = @_;
-    my $skip;
-    if( $wit =~ /^(.*)\Q$acstr\E$/ ) {
-        my $real = $1;
-        $skip = grep { $_ =~ /^\Q$real\E$/ } @$arr;
-    } 
-    push( @$arr, $wit ) unless $skip;
+
+sub _resolve_parent_relationships {
+       my( $c, $rid, $rdg, $rdgparents ) = @_;
+       foreach my $p ( keys %$rdgparents ) {
+               # Resolve the relationship of the parent to the reading, and
+               # save it in our hash.
+               my $pobj = $c->reading( $p );
+               my $prep = $pobj ? $pobj->id . ' (' . $pobj->text . ')' : $p;
+               my $phash = { 'label' => $prep };
+               if( $pobj ) {
+                       my $rel = $c->get_relationship( $p, $rid );
+                       if( $rel ) {
+                               _add_to_hash( $rel, $phash );
+                       } elsif( $rdg ) {
+                               # First check for a transposed relationship
+                               if( $rdg->rank != $pobj->rank ) {
+                                       foreach my $ti ( $rdg->related_readings( 'transposition' ) ) {
+                                               next unless $ti->text eq $rdg->text;
+                                               $rel = $c->get_relationship( $ti, $pobj );
+                                               if( $rel ) {
+                                                       _add_to_hash( $rel, $phash, 1 );
+                                                       last;
+                                               }
+                                       }
+                                       unless( $rel ) {
+                                               foreach my $ti ( $pobj->related_readings( 'transposition' ) ) {
+                                                       next unless $ti->text eq $pobj->text;
+                                                       $rel = $c->get_relationship( $ti, $rdg );
+                                                       if( $rel ) {
+                                                               _add_to_hash( $rel, $phash, 1 );
+                                                               last;
+                                                       }
+                                               }
+                                       }
+                               }
+                               unless( $rel ) {
+                                       # and then check for sheer word similarity.
+                                       my $rtext = $rdg->text;
+                                       my $ptext = $pobj->text;
+                                       if( similar( $rtext, $ptext ) ) {
+                                               # say STDERR "Words $rtext and $ptext judged similar";
+                                               $phash->{relation} = { type => 'wordsimilar' };
+                                       } 
+                               }
+                       } else {
+                               $phash->{relation} = { type => 'deletion' };
+                       }
+                       # Get the attributes of the parent object while we are here
+                       $phash->{'text'} = $pobj->text if $pobj;
+                       $phash->{'is_nonsense'} = $pobj->is_nonsense;
+                       $phash->{'is_ungrammatical'} = $pobj->grammar_invalid;
+               } elsif( $p eq '(omitted)' ) {
+                       $phash->{relation} = { type => 'addition' };
+               }
+               # Save it
+               $rdgparents->{$p} = $phash;
+       }
 }
 
-# Return an answer if the variant is useful, i.e. if there are at least 2 variants
-# with at least 2 witnesses each.
-sub useful_variant {
-    my( $readings ) = @_;
-    my $total = keys %$readings;
-    foreach my $var ( keys %$readings ) {
-        $total-- if @{$readings->{$var}} == 1;
-    }
-    return( undef, undef ) if $total <= 1;
-    my( $groups, $text );
-    foreach my $var ( keys %$readings ) {
-        push( @$groups, $readings->{$var} );
-        push( @$text, $var );
-    }
-    return( $groups, $text );
+sub _add_to_hash {
+       my( $rel, $phash, $is_transposed ) = @_;
+       $phash->{relation} = { type => $rel->type };
+       $phash->{relation}->{transposed} = 1 if $is_transposed;
+       $phash->{relation}->{annotation} = $rel->annotation
+               if $rel->has_annotation;
+}
+
+=head2 similar( $word1, $word2 )
+
+Use Algorithm::Diff to get a sense of how close the words are to each other.
+This will hopefully handle substitutions a bit more nicely than Levenshtein.
+
+=cut
+
+#!/usr/bin/env perl
+
+sub similar {
+       my( $word1, $word2 ) = sort { length($a) <=> length($b) } @_;
+       my @let1 = split( '', lc( $word1 ) );
+       my @let2 = split( '', lc( $word2 ) );
+       my $diff = Algorithm::Diff->new( \@let1, \@let2 );
+       my $mag = 0;
+       while( $diff->Next ) {
+               if( $diff->Same ) {
+                       # Take off points for longer strings
+                       my $cs = $diff->Range(1) - 2;
+                       $cs = 0 if $cs < 0;
+                       $mag -= $cs;
+               } elsif( !$diff->Items(1) ) {
+                       $mag += $diff->Range(2);
+               } elsif( !$diff->Items(2) ) {
+                       $mag += $diff->Range(1);
+               } else {
+                       # Split the difference for substitutions
+                       my $c1 = $diff->Range(1) || 1;
+                       my $c2 = $diff->Range(2) || 1;
+                       my $cd = ( $c1 + $c2 ) / 2;
+                       $mag += $cd;
+               }
+       }
+       return ( $mag <= length( $word1 ) / 2 );
+}
+
+sub _useful_variant {
+       my( $rankgroup, $rankgraph, $acstr ) = @_;
+
+       # Sort by group size and return
+       my $is_useful = 0;
+       foreach my $rdg ( keys %$rankgroup ) {
+               my @wits = $rankgroup->{$rdg}->members;
+               if( @wits > 1 ) {
+                       $is_useful++;
+               } else {
+                       $is_useful++ unless( $rankgraph->is_sink_vertex( $wits[0] )
+                               || $wits[0] =~ /\Q$acstr\E$/ );
+               }
+       }
+       return $is_useful > 1;
 }
 
-# Take an array of witness groupings and produce a string like
-# ['A','B'] / ['C','D','E'] / ['F']
+=head2 wit_stringify( $groups )
+
+Takes an array of witness groupings and produces a string like
+['A','B'] / ['C','D','E'] / ['F']
+
+=cut
 
 sub wit_stringify {
     my $groups = shift;
@@ -387,5 +889,22 @@ sub wit_stringify {
     }
     return join( ' / ', @gst );
 }
-    
-1;
\ No newline at end of file
+
+1;
+
+sub throw {
+       Text::Tradition::Error->throw( 
+               'ident' => 'Analysis error',
+               'message' => $_[0],
+       );
+}
+
+=head1 LICENSE
+
+This package is free software and is provided "as is" without express
+or implied warranty.  You can redistribute it and/or modify it under
+the same terms as Perl itself.
+
+=head1 AUTHOR
+
+Tara L Andrews E<lt>aurum@cpan.orgE<gt>