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Bugfix: arcs now work (some glitches in detecting their center, thoug…
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…h). #30
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alranel committed Nov 7, 2011
1 parent 8172bcb commit d620b46
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Showing 4 changed files with 85 additions and 44 deletions.
7 changes: 5 additions & 2 deletions lib/Slic3r/Extruder.pm
Original file line number Diff line number Diff line change
Expand Up @@ -70,6 +70,9 @@ sub extrude {
my $self = shift;
my ($path, $description, $recursive) = @_;

$path->merge_continuous_lines;

# detect arcs
if ($Slic3r::gcode_arcs && !$recursive) {
my $gcode = "";
$gcode .= $self->extrude($_, $description, 1) for $path->detect_arcs;
Expand Down Expand Up @@ -173,8 +176,8 @@ sub G2_G3 {

# XY distance of the center from the start position
$gcode .= sprintf " I%.${dec}f J%.${dec}f",
($point->[X] - $self->last_pos->[X]) * $Slic3r::resolution + $self->shift_x,
($point->[Y] - $self->last_pos->[Y]) * $Slic3r::resolution + $self->shift_y;
($center->[X] - $self->last_pos->[X]) * $Slic3r::resolution,
($center->[Y] - $self->last_pos->[Y]) * $Slic3r::resolution;

$self->last_pos($point);
return $self->_Gx($gcode, $e, $comment);
Expand Down
65 changes: 36 additions & 29 deletions lib/Slic3r/ExtrusionPath.pm
Original file line number Diff line number Diff line change
Expand Up @@ -76,9 +76,10 @@ sub split_at_acute_angles {

sub detect_arcs {
my $self = shift;
my ($max_angle, $len_epsilon) = @_;

my $max_angle = deg2rad(40);
my $len_epsilon = 1000000;
$max_angle = deg2rad($max_angle || 15);
$len_epsilon ||= 10 / $Slic3r::resolution;

my @points = @{$self->points};
my @paths = ();
Expand Down Expand Up @@ -111,34 +112,13 @@ sub detect_arcs {
my $s1s2_angle = $s2_angle - $s1_angle;
my $s2s3_angle = $s3_angle - $s2_angle;
next if abs($s1s2_angle - $s2s3_angle) > $Slic3r::Geometry::parallel_degrees_limit;
next if $s1s2_angle < $Slic3r::Geometry::parallel_degrees_limit; # ignore parallel lines
next if abs($s1s2_angle) < $Slic3r::Geometry::parallel_degrees_limit; # ignore parallel lines
next if $s1s2_angle > $max_angle; # ignore too sharp vertices

# s1, s2, s3 form an arc
my $orientation = $s1->point_on_left($points[$i+2]) ? 'ccw' : 'cw';

# to find the center, we intersect the perpendicular lines
# passing by midpoints of $s1 and $s3
my $arc_center;
{
my $s1_mid = $s1->midpoint;
my $s3_mid = $s2->midpoint;
my $rotation_angle = PI/2 * ($orientation eq 'ccw' ? -1 : 1);
my $ray1 = Slic3r::Line->new($s1_mid, rotate_points($rotation_angle, $s1_mid, $points[$i+1]));
my $ray3 = Slic3r::Line->new($s3_mid, rotate_points($rotation_angle, $s3_mid, $points[$i+3]));
$arc_center = $ray1->intersection($ray3, 0);
}

my $arc = Slic3r::ExtrusionPath::Arc->new(
points => [$points[$i], $points[$i+3]], # first and last points
orientation => $orientation,
center => $arc_center,
radius => $arc_center->distance_to($points[$i]),
);
my @arc_points = ($points[$i], $points[$i+3]), # first and last points

# now look for more points
my $last_line_angle = $s3_angle;
my $last_j = $points[$i+3];
my $last_j = $i+3;
for (my $j = $i+3; $j < $#points; $j++) {
my $line = Slic3r::Line->new($points[$j], $points[$j+1]);
last if abs($line->length - $s1_len) > $len_epsilon;
Expand All @@ -148,12 +128,38 @@ sub detect_arcs {
last if abs($s1s2_angle - $anglediff) > $Slic3r::Geometry::parallel_degrees_limit;

# point $j+1 belongs to the arc
$arc->points->[-1] = $points[$j+1];
$arc_points[-1] = $points[$j+1];
$last_j = $j+1;

$last_line_angle = $line_angle;
}

# s1, s2, s3 form an arc
my $orientation = $s1->point_on_left($points[$i+2]) ? 'ccw' : 'cw';

# to find the center, we intersect the perpendicular lines
# passing by midpoints of $s1 and last segment
# a better method would be to draw all the perpendicular lines
# and find the centroid of the enclosed polygon, or to
# intersect multiple lines and find the centroid of the convex hull
# around the intersections
my $arc_center;
{
my $s1_mid = $s1->midpoint;
my $last_mid = Slic3r::Line->new($points[$last_j-1], $points[$last_j])->midpoint;
my $rotation_angle = PI/2 * ($orientation eq 'ccw' ? -1 : 1);
my $ray1 = Slic3r::Line->new($s1_mid, rotate_points($rotation_angle, $s1_mid, $points[$i+1]));
my $last_ray = Slic3r::Line->new($last_mid, rotate_points($rotation_angle, $last_mid, $points[$last_j]));
$arc_center = $ray1->intersection($last_ray, 0);
}

my $arc = Slic3r::ExtrusionPath::Arc->new(
points => [@arc_points],
orientation => $orientation,
center => $arc_center,
radius => $arc_center->distance_to($points[$i]),
);

# points 0..$i form a linear path
push @paths, (ref $self)->new(
points => [ @points[0..$i] ],
Expand All @@ -162,7 +168,8 @@ sub detect_arcs {

# add our arc
push @paths, $arc;
print "ARC DETECTED\n";
Slic3r::debugf "ARC DETECTED\n";

# remove arc points from path, leaving one
splice @points, 0, $last_j, ();

Expand All @@ -175,7 +182,7 @@ sub detect_arcs {
push @paths, (ref $self)->new(
points => [@points],
depth_layers => $self->depth_layers
) if @points;
) if @points > 1;

return @paths;
}
Expand Down
2 changes: 1 addition & 1 deletion lib/Slic3r/ExtrusionPath/Collection.pm
Original file line number Diff line number Diff line change
Expand Up @@ -57,7 +57,7 @@ sub cleanup {

sub detect_arcs {
my $self = shift;
@{$self->paths} = map $_->detect_arcs, @{$self->paths};
@{$self->paths} = map $_->detect_arcs(@_), @{$self->paths};
}

1;
55 changes: 43 additions & 12 deletions t/arcs.t
Original file line number Diff line number Diff line change
Expand Up @@ -2,7 +2,7 @@ use Test::More;
use strict;
use warnings;

plan tests => 2;
plan tests => 6;

BEGIN {
use FindBin;
Expand All @@ -11,15 +11,46 @@ BEGIN {

use Slic3r;

my $path = Slic3r::ExtrusionPath->cast([
[135322.42,26654.96], [187029.11,99546.23], [222515.14,92381.93], [258001.16,99546.23],
[286979.42,119083.91], [306517.1,148062.17], [313681.4,183548.2],
[306517.1,219034.23], [286979.42,248012.49], [258001.16,267550.17], [222515.14,274714.47],
[187029.11,267550.17], [158050.85,248012.49], [138513.17,219034.23], [131348.87,183548.2],
[86948.77,175149.09], [119825.35,100585],
]);
my $collection = Slic3r::ExtrusionPath::Collection->new(paths => [$path]);
$collection->detect_arcs;
{
my $path = Slic3r::ExtrusionPath->cast([
[135322.42,26654.96], [187029.11,99546.23], [222515.14,92381.93], [258001.16,99546.23],
[286979.42,119083.91], [306517.1,148062.17], [313681.4,183548.2],
[306517.1,219034.23], [286979.42,248012.49], [258001.16,267550.17], [222515.14,274714.47],
[187029.11,267550.17], [158050.85,248012.49], [138513.17,219034.23], [131348.87,183548.2],
[86948.77,175149.09], [119825.35,100585],
]);

use Slic3r::SVG;
local $Slic3r::resolution = 0.0001;
Slic3r::SVG::output(undef, "arc.svg",
polylines => [ $path->points ],
);

my $collection = Slic3r::ExtrusionPath::Collection->new(paths => [$path]);
$collection->detect_arcs(30);

is scalar(@{$collection->paths}), 3, 'path collection now contains three paths';
isa_ok $collection->paths->[1], 'Slic3r::ExtrusionPath::Arc', 'second one';
}

#==========================================================

{
my $path = Slic3r::ExtrusionPath->cast([
[10,20], [10.7845909572784,19.9691733373313], [11.5643446504023,19.8768834059514],
[12.3344536385591,19.7236992039768], [13.0901699437495,19.5105651629515],
[13.8268343236509,19.2387953251129], [14.5399049973955,18.9100652418837],
[15.2249856471595,18.5264016435409], [15.8778525229247,18.0901699437495],
[16.4944804833018,17.6040596560003],
]);
my $collection = Slic3r::ExtrusionPath::Collection->new(paths => [$path]);
$collection->detect_arcs(10, 1);

is scalar(@{$collection->paths}), 1, 'path collection now contains one path';
isa_ok $collection->paths->[0], 'Slic3r::ExtrusionPath::Arc', 'path';
is $collection->paths->[0]->orientation, 'cw', 'orientation was correctly detected';
my $center = [ map sprintf('%.0f', $_), @{ $collection->paths->[0]->center } ];
is_deeply $center, [10,10], 'center was correctly detected';
}

is scalar(@{$collection->paths}), 3, 'path collection now contains three paths';
isa_ok $collection->paths->[1], 'Slic3r::ExtrusionPath::Arc', 'second one';
#==========================================================

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