package Slic3r::Polygon; use strict; use warnings; # a polygon is a closed polyline. use parent 'Slic3r::Polyline'; use Slic3r::Geometry qw( polygon_segment_having_point PI X1 X2 Y1 Y2 epsilon); use Slic3r::Geometry::Clipper qw(intersection_pl); sub wkt { my $self = shift; return sprintf "POLYGON((%s))", join ',', map "$_->[0] $_->[1]", @$self; } sub dump_perl { my $self = shift; return sprintf "[%s]", join ',', map "[$_->[0],$_->[1]]", @$self; } sub grow { my $self = shift; return $self->split_at_first_point->grow(@_); } # this method subdivides the polygon segments to that no one of them # is longer than the length provided sub subdivide { my $self = shift; my ($max_length) = @_; my @points = @$self; push @points, $points[0]; # append first point as this is a polygon my @new_points = shift @points; while (@points) { while ($new_points[-1]->distance_to($points[0]) > $max_length) { push @new_points, map Slic3r::Point->new(@$_), Slic3r::Geometry::point_along_segment($new_points[-1], $points[0], $max_length); } push @new_points, shift @points; } pop @new_points; # remove last point as it coincides with first one return Slic3r::Polygon->new(@new_points); } sub concave_points { my ($self, $angle) = @_; $angle //= PI; # input angle threshold is checked on the internal side of the polygon # but angle3points measures CCW angle, so we calculate the complementary angle my $ccw_angle = 2*PI-$angle; my @points = @$self; my @points_pp = @{$self->pp}; my @concave = (); for my $i (-1 .. ($#points-1)) { next if $points[$i-1]->coincides_with($points[$i]); # angle is measured in ccw orientation my $vertex_angle = Slic3r::Geometry::angle3points(@points_pp[$i, $i-1, $i+1]); if ($vertex_angle <= $ccw_angle) { push @concave, $points[$i]; } } return [@concave]; } sub convex_points { my ($self, $angle) = @_; $angle //= PI; # input angle threshold is checked on the internal side of the polygon # but angle3points measures CCW angle, so we calculate the complementary angle my $ccw_angle = 2*PI-$angle; my @points = @$self; my @points_pp = @{$self->pp}; my @convex = (); for my $i (-1 .. ($#points-1)) { next if $points[$i-1]->coincides_with($points[$i]); # angle is measured in ccw orientation my $vertex_angle = Slic3r::Geometry::angle3points(@points_pp[$i, $i-1, $i+1]); if ($vertex_angle >= $ccw_angle) { push @convex, $points[$i]; } } return [@convex]; } 1;