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			476 lines
		
	
	
	
		
			17 KiB
		
	
	
	
		
			Perl
		
	
	
	
	
	
			
		
		
	
	
			476 lines
		
	
	
	
		
			17 KiB
		
	
	
	
		
			Perl
		
	
	
	
	
	
| package Slic3r::TriangleMesh;
 | |
| use Moo;
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| 
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| use Slic3r::Geometry qw(X Y Z A B PI epsilon same_point points_coincide angle3points
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|     merge_collinear_lines nearest_point polyline_lines);
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| use XXX;
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| 
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| has 'facets'        => (is => 'ro', default => sub { [] });
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| has 'edges'         => (is => 'ro', default => sub { [] });
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| has 'edge_table'    => (is => 'ro', default => sub { {} });
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| has 'edge_facets'   => (is => 'ro', default => sub { {} });
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| 
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| use constant MIN => 0;
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| use constant MAX => 1;
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| 
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| sub make_edge_table {
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|     my $self = shift;
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|     
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|     @{$self->edges} = ();
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|     %{$self->edge_table} = ();
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|     %{$self->edge_facets} = ();
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|     for (my $facet_index = 0; $facet_index <= $#{$self->facets}; $facet_index++) {
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|         my $facet = $self->facets->[$facet_index];
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|         foreach my $edge ($self->facet_edges($facet)) {
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|             my $edge_id = $self->edge_id($edge);
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|             if (!exists $self->edge_table->{$edge_id}) {
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|                 push @{$self->edges}, $edge;
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|                 $self->edge_table->{$edge_id} = $#{$self->edges};
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|                 $self->edge_facets->{$edge_id} = [];
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|             }
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|             my $edge_index = $self->edge_table->{$edge_id};
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|             push @{$self->edge_facets->{$edge_id}}, $facet_index;
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|         }
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|     }
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| }
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| 
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| sub check_manifoldness {
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|     my $self = shift;
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|     
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|     $self->make_edge_table;
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|     
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|     if (grep { @$_ != 2 } values %{$self->edge_facets}) {
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|         warn "Warning: The input file is not manifold. You might want to check the "
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|             . "resulting gcode before printing.\n";
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|     }
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| }
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| 
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| sub make_loops {
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|     my $self = shift;
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|     my ($layer) = @_;
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|     
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|     my @lines = @{$layer->lines};
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|     
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|     # remove tangent edges
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|     {
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|         for (my $i = 0; $i <= $#lines; $i++) {
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|             next unless defined $lines[$i] && $lines[$i]->facet_edge;
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|             # if the line is a facet edge, find another facet edge
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|             # having the same endpoints but in reverse order
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|             for (my $j = $i+1; $j <= $#lines; $j++) {
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|                 next unless defined $lines[$j] && defined $lines[$j]->facet_edge;
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|                 next unless $lines[$j]->facet_edge eq $lines[$i]->facet_edge;
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|                 if (same_point($lines[$i]->a, $lines[$j]->b) && same_point($lines[$i]->b, $lines[$j]->a)) {
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|                     $lines[$j] = undef;
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|                     last;
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|                 }
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|             }
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|         }
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|     }
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|     
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|     my $sparse_lines = [ map $_->line, grep $_, @lines ];
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|     
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|     # detect closed loops
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|     
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|     my (@polygons, %visited_lines, @discarded_lines, @discarded_polylines) = ();
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|     
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|     my $detect = sub {
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|         my @lines = @$sparse_lines;
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|         (@polygons, %visited_lines, @discarded_lines, @discarded_polylines) = ();
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|         my $get_point_id = sub { sprintf "%.0f,%.0f", @{$_[0]} };
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|         
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|         my (%pointmap, @pointmap_keys) = ();
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|         foreach my $line (@lines) {
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|             my $point_id = $get_point_id->($line->[A]);
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|             if (!exists $pointmap{$point_id}) {
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|                 $pointmap{$point_id} = [];
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|                 push @pointmap_keys, $line->[A];
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|             }
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|             push @{ $pointmap{$point_id} }, $line;
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|         }
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|         
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|         my $n = 0;
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|         while (my $first_line = shift @lines) {
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|             next if $visited_lines{ $first_line->id };
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|             my @points = @$first_line;
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|             
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|             my @seen_lines = ($first_line);
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|             my %seen_points = map { $get_point_id->($points[$_]) => $_ } 0..1;
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|             
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|             CYCLE: while (1) {
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|                 my $next_lines = $pointmap{ $get_point_id->($points[-1]) };
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|                 
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|                 # shouldn't we find the point, let's try with a slower algorithm
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|                 # as approximation may make the coordinates differ
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|                 if (!$next_lines) {
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|                     my $nearest_point = nearest_point($points[-1], \@pointmap_keys);
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|                     #printf "  we have a nearest point: %f,%f (%s)\n", @$nearest_point, $get_point_id->($nearest_point);
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|                     
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|                     if ($nearest_point) {
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|                         local $Slic3r::Geometry::epsilon = 1000000;
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|                         $next_lines = $pointmap{$get_point_id->($nearest_point)}
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|                             if points_coincide($points[-1], $nearest_point);
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|                     }
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|                 }
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|                 
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|                 if (0 && !$next_lines) {
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|                     require "Slic3r/SVG.pm";
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|                     Slic3r::SVG::output(undef, "no_lines.svg",
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|                         lines       => [ grep !$_->isa('Slic3r::Line::FacetEdge'), @lines ],
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|                         red_lines   => [ grep  $_->isa('Slic3r::Line::FacetEdge'), @lines ],
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|                         points      => [ $points[-1] ],
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|                         no_arrows => 1,
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|                     );
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|                 }
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|                 
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|                 $next_lines
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|                     or printf("No lines start at point %s. This shouldn't happen. Please check the model for manifoldness.\n", $get_point_id->($points[-1]));
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|                 last CYCLE if !$next_lines or !@$next_lines;
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|                 
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|                 my @ordered_next_lines = sort 
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|                     { angle3points($points[-1], $points[-2], $next_lines->[$a][B]) <=> angle3points($points[-1], $points[-2], $next_lines->[$b][B]) } 
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|                     0..$#$next_lines;
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|                 
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|                 #if (@$next_lines > 1) {
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|                 #    Slic3r::SVG::output(undef, "next_line.svg",
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|                 #        lines        => $next_lines,
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|                 #        red_lines    => [ polyline_lines([@points]) ],
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|                 #        green_lines  => [ $next_lines->[ $ordered_next_lines[0] ] ],
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|                 #    );
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|                 #}
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|                 
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|                 my ($next_line) = splice @$next_lines, $ordered_next_lines[0], 1;
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|                 push @seen_lines, $next_line;
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|                 
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|                 push @points, $next_line->[B];
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|                 
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|                 my $point_id = $get_point_id->($points[-1]);
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|                 if ($seen_points{$point_id}) {
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|                     splice @points, 0, $seen_points{$point_id};
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|                     last CYCLE;
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|                 }
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|                 
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|                 $seen_points{$point_id} = $#points;
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|             }
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|             
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|             if (@points < 4 || !points_coincide($points[0], $points[-1])) {
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|                 # discarding polyline
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|                 push @discarded_lines, @seen_lines;
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|                 if (@points > 2) {
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|                     push @discarded_polylines, [@points];
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|                 }
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|                 next;
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|             }
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|             
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|             $visited_lines{ $_->id } = 1 for @seen_lines;
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|             pop @points;
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|             Slic3r::debugf "  Discovered polygon of %d points\n", scalar(@points);
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|             push @polygons, Slic3r::Polygon->new(@points);
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|             pop @polygons if !$polygons[-1]->cleanup;
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|         }
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|     };
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|     
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|     $detect->();
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|     
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|     # Now, if we got a clean and manifold model then @polygons would contain everything
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|     # we need to draw our layer. In real life, sadly, things are different and it is likely
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|     # that the above algorithm wasn't able to detect every polygon. This may happen because
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|     # of non-manifoldness or because of many close lines, often overlapping; both situations
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|     # make a head-to-tail search difficult.
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|     # On the other hand, we can safely assume that every polygon we detected is correct, as 
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|     # the above algorithm is quite strict. We can take a brute force approach to connect any
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|     # other line.
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|     
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|     # So, let's first check what lines were not detected as part of polygons.
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|     if (@discarded_lines) {
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|         Slic3r::debugf "  %d lines out of %d were discarded and %d polylines were not closed\n",
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|             scalar(@discarded_lines), scalar(@lines), scalar(@discarded_polylines);
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|         print "  Warning: errors while parsing this layer (dirty or non-manifold model).\n";
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|         
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|         my $total_detected_length = 0;
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|         $total_detected_length += $_->length for map $_->lines, @polygons;
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|         my $total_discarded_length = 0;
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|         $total_discarded_length += $_->length for map polyline_lines($_), @discarded_polylines;
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|         $total_discarded_length += $_->length for @discarded_lines;
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|         my $discarded_ratio = $total_detected_length
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|             ? ($total_discarded_length / $total_detected_length)
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|             : 0;
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|         
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|         Slic3r::debugf "  length ratio of discarded lines is %f\n", $discarded_ratio;
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|         
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|         if ($discarded_ratio > 0.00001) {
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|             print "  Retrying with slower algorithm.\n";
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|             
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|             if (0) {
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|                 require "Slic3r/SVG.pm";
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|                 Slic3r::SVG::output(undef, "layer" . $layer->id . "_detected.svg",
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|                     white_polygons => \@polygons,
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|                 );
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|                 Slic3r::SVG::output(undef, "layer" . $layer->id . "_discarded_lines.svg",
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|                     red_lines   => \@discarded_lines,
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|                 );
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|                 Slic3r::SVG::output(undef, "layer" . $layer->id . "_discarded_polylines.svg",
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|                     polylines   => \@discarded_polylines,
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|                 );
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|             }
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|             
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|             $sparse_lines = merge_collinear_lines($sparse_lines);
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|             eval { $detect->(); };
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|             warn $@ if $@;
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|             
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|             if (@discarded_lines) {
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|                 print "  Warning: even slow detection algorithm threw errors. Review the output before printing.\n";
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|                 $layer->slicing_errors(1);
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|             }
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|         }
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|     }
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|     
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|     return [@polygons];
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| }
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| 
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| sub rotate {
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|     my $self = shift;
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|     my ($deg) = @_;
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|     return if $deg == 0;
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|     
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|     my $rad = Slic3r::Geometry::deg2rad($deg);
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|     foreach my $facet (@{$self->facets}) {
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|         my ($normal, @vertices) = @$facet;
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|         foreach my $vertex (@vertices) {
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|             @$vertex = (@{ +(Slic3r::Geometry::rotate_points($rad, undef, [ $vertex->[X], $vertex->[Y] ]))[0] }, $vertex->[Z]);
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|         }
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|     }
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| }
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| 
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| sub scale {
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|     my $self = shift;
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|     my ($factor) = @_;
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|     return if $factor == 1;
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|     
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|     foreach my $facet (@{$self->facets}) {
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|         # transform vertex coordinates
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|         my ($normal, @vertices) = @$facet;
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|         foreach my $vertex (@vertices) {
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|             $vertex->[$_] *= $factor for X,Y,Z;
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|         }
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|     }
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| }
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| 
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| sub move {
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|     my $self = shift;
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|     my (@shift) = @_;
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|     
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|     foreach my $facet (@{$self->facets}) {
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|         # transform vertex coordinates
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|         my ($normal, @vertices) = @$facet;
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|         foreach my $vertex (@vertices) {
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|             $vertex->[$_] += $shift[$_] for X,Y,Z;
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|         }
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|     }
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| }
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| 
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| sub duplicate {
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|     my $self = shift;
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|     my (@shifts) = @_;
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|     
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|     my @new_facets = ();
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|     foreach my $facet (@{$self->facets}) {
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|         # transform vertex coordinates
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|         my ($normal, @vertices) = @$facet;
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|         foreach my $shift (@shifts) {
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|             push @new_facets, [ $normal ];
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|             foreach my $vertex (@vertices) {
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|                 push @{$new_facets[-1]}, [ map $vertex->[$_] + ($shift->[$_] || 0), (X,Y,Z) ];
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|             }
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|         }
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|     }
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|     push @{$self->facets}, @new_facets;
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| }
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| 
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| sub bounding_box {
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|     my $self = shift;
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|     my @extents = (map [9999999999999999999999, -9999999999999999999999], X,Y,Z);
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|     foreach my $facet (@{$self->facets}) {
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|         my ($normal, @vertices) = @$facet;
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|         foreach my $vertex (@vertices) {
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|             for (X,Y,Z) {
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|                 $extents[$_][MIN] = $vertex->[$_] if $vertex->[$_] < $extents[$_][MIN];
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|                 $extents[$_][MAX] = $vertex->[$_] if $vertex->[$_] > $extents[$_][MAX];
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|             }
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|         }
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|     }
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|     return @extents;
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| }
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| 
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| sub size {
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|     my $self = shift;
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|     
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|     my @extents = $self->bounding_box;
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|     return map $extents[$_][MAX] - $extents[$_][MIN], (X,Y,Z);
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| }
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| 
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| sub _facet {
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|     my $self = shift;
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|     my ($print, $facet_index, $normal, @vertices) = @_;
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|     Slic3r::debugf "\n==> FACET %d (%f,%f,%f - %f,%f,%f - %f,%f,%f):\n",
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|         $facet_index, map @$_, @vertices
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|         if $Slic3r::debug;
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|     
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|     # find the vertical extents of the facet
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|     my ($min_z, $max_z) = (99999999999, -99999999999);
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|     foreach my $vertex (@vertices) {
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|         $min_z = $vertex->[Z] if $vertex->[Z] < $min_z;
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|         $max_z = $vertex->[Z] if $vertex->[Z] > $max_z;
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|     }
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|     Slic3r::debugf "z: min = %.0f, max = %.0f\n", $min_z, $max_z;
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|     
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|     if (abs($max_z - $min_z) < epsilon) {
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|         Slic3r::debugf "Facet is horizontal; ignoring\n";
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|         return;
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|     }
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|     
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|     # calculate the layer extents
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|     # (the -1 and +1 here are used as a quick and dirty replacement for some
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|     # complex calculation of the first layer height ratio logic)
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|     my $min_layer = int($min_z * $Slic3r::resolution / $Slic3r::layer_height) - 1;
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|     $min_layer = 0 if $min_layer < 0;
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|     my $max_layer = int($max_z * $Slic3r::resolution / $Slic3r::layer_height) + 1;
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|     Slic3r::debugf "layers: min = %s, max = %s\n", $min_layer, $max_layer;
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|     
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|     # reorder vertices so that the first one is the one with lowest Z
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|     # this is needed to get all intersection lines in a consistent order
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|     # (external on the right of the line)
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|     {
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|         my @z_order = sort { $vertices[$a][Z] <=> $vertices[$b][Z] } 0..2;
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|         @vertices = (splice(@vertices, $z_order[0]), splice(@vertices, 0, $z_order[0]));
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|     }
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|     
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|     for (my $layer_id = $min_layer; $layer_id <= $max_layer; $layer_id++) {
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|         my $layer = $print->layer($layer_id);
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|         $layer->add_line($_) for $self->intersect_facet($facet_index, \@vertices, $layer->slice_z);
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|     }
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| }
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| 
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| sub intersect_facet {
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|     my $self = shift;
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|     my ($facet_index, $vertices, $z) = @_;
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|     
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|     # build the three segments of the triangle facet
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|     my @edges = $self->facet_edges($vertices);
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|     
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|     my (@lines, @points, @intersection_points, @points_on_layer) = ();
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|         
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|     foreach my $edge (@edges) {
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|         my ($a, $b) = @$edge;
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|         my $edge_id = $self->edge_id($edge);
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|         #printf "Az = %f, Bz = %f, z = %f\n", $a->[Z], $b->[Z], $z;
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|         
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|         if (abs($a->[Z] - $b->[Z]) < epsilon && abs($a->[Z] - $z) < epsilon) {
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|             # edge is horizontal and belongs to the current layer
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|             my $edge_type = (grep $_->[Z] < $z - epsilon, @$vertices) ? 'top' : 'bottom';
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|             ($a, $b) = ($b, $a) if $edge_type eq 'top';
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|             push @lines, Slic3r::TriangleMesh::IntersectionLine->new(
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|                 a           => [$a->[X], $a->[Y]],
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|                 b           => [$b->[X], $b->[Y]],
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|                 a_id        => sprintf("%f,%f", @$a[X,Y]),
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|                 b_id        => sprintf("%f,%f", @$b[X,Y]),
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|                 facet_edge  => $edge_type,
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|                 facet_index => $facet_index,
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|             );
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|             #print "Horizontal edge at $z!\n";
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|             
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|         } elsif (abs($a->[Z] - $z) < epsilon) {
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|             #print "A point on plane $z!\n";
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|             push @points, [ $a->[X], $a->[Y], sprintf("%f,%f", @$a[X,Y]) ];
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|             push @points_on_layer, $#points;
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|             
 | |
|         } elsif (abs($b->[Z] - $z) < epsilon) {
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|             #print "B point on plane $z!\n";
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|             push @points, [ $b->[X], $b->[Y], sprintf("%f,%f", @$b[X,Y]) ];
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|             push @points_on_layer, $#points;
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|             
 | |
|         } elsif (($a->[Z] < ($z - epsilon) && $b->[Z] > ($z + epsilon)) 
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|             || ($b->[Z] < ($z - epsilon) && $a->[Z] > ($z + epsilon))) {
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|             # edge intersects the current layer; calculate intersection
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|             push @points, [
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|                 $b->[X] + ($a->[X] - $b->[X]) * ($z - $b->[Z]) / ($a->[Z] - $b->[Z]),
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|                 $b->[Y] + ($a->[Y] - $b->[Y]) * ($z - $b->[Z]) / ($a->[Z] - $b->[Z]),
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|                 $edge_id,
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|                 $edge_id,
 | |
|             ];
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|             push @intersection_points, $#points;
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|             #print "Intersects at $z!\n";
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|         }
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|     }
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|     
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|     return @lines if @lines;
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|     if (@points_on_layer == 2 && @intersection_points == 1) {
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|         $points[ $points_on_layer[1] ] = undef;
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|         @points = grep $_, @points;
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|     }
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|     if (@points_on_layer == 2 && @intersection_points == 0) {
 | |
|         if (same_point(map $points[$_], @points_on_layer)) {
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|             return ();
 | |
|         }
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|     }
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|     
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|     if (@points) {
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|         
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|         # defensive programming:
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|         die "Facets must intersect each plane 0 or 2 times" if @points != 2;
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|         
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|         # connect points:
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|         return Slic3r::TriangleMesh::IntersectionLine->new(
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|             a      => [$points[B][X], $points[B][Y]],
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|             b      => [$points[A][X], $points[A][Y]],
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|             a_id   => $points[B][2],
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|             b_id   => $points[A][2],
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|             facet_index => $facet_index,
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|             prev_facet_index => ($points[B][3] ? +(grep $_ != $facet_index, @{$self->edge_facets->{$points[B][3]}})[0] || undef : undef),
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|             next_facet_index => ($points[A][3] ? +(grep $_ != $facet_index, @{$self->edge_facets->{$points[A][3]}})[0] || undef : undef),
 | |
|         );
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|         #printf "  intersection points at z = %f: %f,%f - %f,%f\n", $z, map @$_, @intersection_points;
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|     }
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|     
 | |
|     return ();
 | |
| }
 | |
| 
 | |
| sub facet_edges {
 | |
|     my $self = shift;
 | |
|     my ($facet) = @_;
 | |
|     
 | |
|     # ignore the normal if provided
 | |
|     my @vertices = @$facet[-3..-1];
 | |
|     
 | |
|     return (
 | |
|         [ $vertices[0], $vertices[1] ],
 | |
|         [ $vertices[1], $vertices[2] ],
 | |
|         [ $vertices[2], $vertices[0] ],
 | |
|     )
 | |
| }
 | |
| 
 | |
| sub edge_id {
 | |
|     my $self = shift;
 | |
|     my ($edge) = @_;
 | |
|     
 | |
|     my @point_ids = map sprintf("%f,%f,%f", @$_), @$edge;
 | |
|     return join "-", sort @point_ids;
 | |
| }
 | |
| 
 | |
| sub get_connected_facets {
 | |
|     my $self = shift;
 | |
|     my ($facet_id) = @_;
 | |
|     
 | |
|     my @facets = ();
 | |
|     foreach my $edge_facets (values %{$self->edge_facets}) {
 | |
|         if (grep $_ == $facet_id, @$edge_facets) {
 | |
|             # this edge belongs to the current facet, so let's get
 | |
|             # the other facet(s)
 | |
|             push @facets, grep $_ != $facet_id, @$edge_facets;
 | |
|         }
 | |
|     }
 | |
|     
 | |
|     return @facets;
 | |
| }
 | |
| 
 | |
| 1;
 | 
