216 lines
6.8 KiB
Perl
216 lines
6.8 KiB
Perl
package Slic3r::Fill::3DHoneycomb;
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use Moo;
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extends 'Slic3r::Fill::Base';
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use POSIX qw(ceil fmod);
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use Slic3r::Geometry qw(scale scaled_epsilon);
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use Slic3r::Geometry::Clipper qw(intersection_pl);
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sub fill_surface {
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my ($self, $surface, %params) = @_;
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my $expolygon = $surface->expolygon;
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my $bb = $expolygon->bounding_box;
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my $size = $bb->size;
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my $distance = $params{flow}->scaled_spacing / $params{density};
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# generate pattern
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my @polylines = map Slic3r::Polyline->new(@$_),
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makeGrid(
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scale($self->z),
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$distance,
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ceil($size->x / $distance),
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ceil($size->y / $distance), #//
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(($self->layer_id / $surface->thickness_layers) % 2) + 1,
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);
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# move pattern in place
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$_->translate($bb->x_min, $bb->y_min) for @polylines;
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# clip pattern to boundaries
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@polylines = @{intersection_pl(\@polylines, \@$expolygon)};
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# connect lines
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unless ($params{dont_connect} || !@polylines) { # prevent calling leftmost_point() on empty collections
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my ($expolygon_off) = @{$expolygon->offset_ex(scaled_epsilon)};
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my $collection = Slic3r::Polyline::Collection->new(@polylines);
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@polylines = ();
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foreach my $polyline (@{$collection->chained_path_from($collection->leftmost_point, 0)}) {
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# try to append this polyline to previous one if any
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if (@polylines) {
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my $line = Slic3r::Line->new($polylines[-1]->last_point, $polyline->first_point);
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if ($line->length <= 1.5*$distance && $expolygon_off->contains_line($line)) {
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$polylines[-1]->append_polyline($polyline);
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next;
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}
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}
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# make a clone before $collection goes out of scope
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push @polylines, $polyline->clone;
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}
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}
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# TODO: return ExtrusionLoop objects to get better chained paths
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return { flow => $params{flow} }, @polylines;
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}
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=head1 DESCRIPTION
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Creates a contiguous sequence of points at a specified height that make
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up a horizontal slice of the edges of a space filling truncated
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octahedron tesselation. The octahedrons are oriented so that the
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square faces are in the horizontal plane with edges parallel to the X
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and Y axes.
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Credits: David Eccles (gringer).
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=head2 makeGrid(z, gridSize, gridWidth, gridHeight, curveType)
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Generate a set of curves (array of array of 2d points) that describe a
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horizontal slice of a truncated regular octahedron with a specified
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grid square size.
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=cut
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sub makeGrid {
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my ($z, $gridSize, $gridWidth, $gridHeight, $curveType) = @_;
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my $scaleFactor = $gridSize;
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my $normalisedZ = $z / $scaleFactor;
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my @points = makeNormalisedGrid($normalisedZ, $gridWidth, $gridHeight, $curveType);
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foreach my $lineRef (@points) {
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foreach my $pointRef (@$lineRef) {
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$pointRef->[0] *= $scaleFactor;
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$pointRef->[1] *= $scaleFactor;
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}
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}
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return @points;
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}
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=head1 FUNCTIONS
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=cut
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=head2 colinearPoints(offset, gridLength)
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Generate an array of points that are in the same direction as the
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basic printing line (i.e. Y points for columns, X points for rows)
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Note: a negative offset only causes a change in the perpendicular
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direction
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=cut
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sub colinearPoints {
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my ($offset, $baseLocation, $gridLength) = @_;
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my @points = ();
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push @points, $baseLocation - abs($offset/2);
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for (my $i = 0; $i < $gridLength; $i++) {
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push @points, $baseLocation + $i + abs($offset/2);
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push @points, $baseLocation + ($i+1) - abs($offset/2);
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}
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push @points, $baseLocation + $gridLength + abs($offset/2);
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return @points;
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}
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=head2 colinearPoints(offset, baseLocation, gridLength)
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Generate an array of points for the dimension that is perpendicular to
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the basic printing line (i.e. X points for columns, Y points for rows)
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=cut
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sub perpendPoints {
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my ($offset, $baseLocation, $gridLength) = @_;
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my @points = ();
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my $side = 2*(($baseLocation) % 2) - 1;
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push @points, $baseLocation - $offset/2 * $side;
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for (my $i = 0; $i < $gridLength; $i++) {
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$side = 2*(($i+$baseLocation) % 2) - 1;
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push @points, $baseLocation + $offset/2 * $side;
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push @points, $baseLocation + $offset/2 * $side;
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}
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push @points, $baseLocation - $offset/2 * $side;
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return @points;
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}
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=head2 trim(pointArrayRef, minX, minY, maxX, maxY)
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Trims an array of points to specified rectangular limits. Point
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components that are outside these limits are set to the limits.
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=cut
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sub trim {
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my ($pointArrayRef, $minX, $minY, $maxX, $maxY) = @_;
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foreach (@$pointArrayRef) {
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$_->[0] = ($_->[0] < $minX) ? $minX : (($_->[0] > $maxX) ? $maxX : $_->[0]);
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$_->[1] = ($_->[1] < $minY) ? $minY : (($_->[1] > $maxY) ? $maxY : $_->[1]);
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}
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}
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=head2 makeNormalisedGrid(z, gridWidth, gridHeight, curveType)
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Generate a set of curves (array of array of 2d points) that describe a
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horizontal slice of a truncated regular octahedron with edge length 1.
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curveType specifies which lines to print, 1 for vertical lines
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(columns), 2 for horizontal lines (rows), and 3 for both.
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=cut
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sub makeNormalisedGrid {
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my ($z, $gridWidth, $gridHeight, $curveType) = @_;
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## offset required to create a regular octagram
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## my $octagramGap = 1 / (1 + sqrt(2));
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my $octagramGap = 1;
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# sawtooth wave function for range f($z) = [-$octagramGap .. $octagramGap]
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my $offset = (abs((fmod($z * sqrt(2), 4)) - 2) - 1) * $octagramGap;
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my @points = ();
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if (($curveType & 1) != 0) {
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for (my $x = 0; $x <= $gridWidth; $x++) {
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my @xPoints = perpendPoints($offset, $x, $gridHeight);
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my @yPoints = colinearPoints($offset, 0, $gridHeight);
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# This is essentially @newPoints = zip(@xPoints, @yPoints)
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my @newPoints = map [ $xPoints[$_], $yPoints[$_] ], 0..$#xPoints;
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# trim points to grid edges
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#trim(\@newPoints, 0, 0, $gridWidth, $gridHeight);
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if ($x % 2 == 0){
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push @points, [ @newPoints ];
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} else {
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push @points, [ reverse @newPoints ];
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}
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}
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}
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if (($curveType & 2) != 0) {
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for (my $y = 0; $y <= $gridHeight; $y++) {
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my @xPoints = colinearPoints($offset, 0, $gridWidth);
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my @yPoints = perpendPoints($offset, $y, $gridWidth);
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my @newPoints = map [ $xPoints[$_], $yPoints[$_] ], 0..$#xPoints;
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# trim points to grid edges
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#trim(\@newPoints, 0, 0, $gridWidth, $gridHeight);
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if ($y % 2 == 0) {
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push @points, [ @newPoints ];
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} else {
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push @points, [ reverse @newPoints ];
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}
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}
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}
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return @points;
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}
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1;
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