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gyroid & 3Dhoneycomb: now 'connected lines' follow the perimeters
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8e4f777bd3
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86fbb9a095
5 changed files with 377 additions and 77 deletions
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@ -109,16 +109,20 @@ static Polylines make_gyroid_waves(double gridZ, double density_adjusted, double
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std::swap(width,height);
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}
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std::vector<Vec2d> one_period = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // creates one period of the waves, so it doesn't have to be recalculated all the time
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std::vector<Vec2d> one_period_odd = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // creates one period of the waves, so it doesn't have to be recalculated all the time
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flip = !flip; // even polylines are a bit shifted
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std::vector<Vec2d> one_period_even = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip);
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Polylines result;
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for (double y0 = lower_bound; y0 < upper_bound+EPSILON; y0 += 2*M_PI) // creates odd polylines
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result.emplace_back(make_wave(one_period, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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flip = !flip; // even polylines are a bit shifted
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one_period = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip); // updates the one period sample
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for (double y0 = lower_bound + M_PI; y0 < upper_bound+EPSILON; y0 += 2*M_PI) // creates even polylines
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result.emplace_back(make_wave(one_period, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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for (double y0 = lower_bound; y0 < upper_bound + EPSILON; y0 += M_PI) {
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// creates odd polylines
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result.emplace_back(make_wave(one_period_odd, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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// creates even polylines
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y0 += M_PI;
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if (y0 < upper_bound + EPSILON) {
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result.emplace_back(make_wave(one_period_even, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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}
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}
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return result;
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}
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@ -141,7 +145,7 @@ void FillGyroid::_fill_surface_single(
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bb.merge(_align_to_grid(bb.min, Point(2.*M_PI*distance, 2.*M_PI*distance)));
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// generate pattern
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Polylines polylines = make_gyroid_waves(
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Polylines polylines_square = make_gyroid_waves(
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scale_(this->z),
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density_adjusted,
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this->spacing,
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@ -149,46 +153,51 @@ void FillGyroid::_fill_surface_single(
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ceil(bb.size()(1) / distance) + 1.);
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// move pattern in place
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for (Polyline &polyline : polylines)
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for (Polyline &polyline : polylines_square)
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polyline.translate(bb.min(0), bb.min(1));
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// clip pattern to boundaries
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polylines = intersection_pl(polylines, (Polygons)expolygon);
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// connect lines
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if (! params.dont_connect && ! polylines.empty()) { // prevent calling leftmost_point() on empty collections
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ExPolygon expolygon_off;
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{
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ExPolygons expolygons_off = offset_ex(expolygon, (float)SCALED_EPSILON);
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if (! expolygons_off.empty()) {
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// When expanding a polygon, the number of islands could only shrink. Therefore the offset_ex shall generate exactly one expanded island for one input island.
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assert(expolygons_off.size() == 1);
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std::swap(expolygon_off, expolygons_off.front());
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}
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}
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Polylines chained = PolylineCollection::chained_path_from(
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std::move(polylines),
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PolylineCollection::leftmost_point(polylines), false); // reverse allowed
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bool first = true;
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for (Polyline &polyline : chained) {
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if (! first) {
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// Try to connect the lines.
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Points &pts_end = polylines_out.back().points;
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const Point &first_point = polyline.points.front();
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const Point &last_point = pts_end.back();
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// TODO: we should also check that both points are on a fill_boundary to avoid
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// connecting paths on the boundaries of internal regions
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// TODO: avoid crossing current infill path
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if ((last_point - first_point).cast<double>().norm() <= 5 * distance &&
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expolygon_off.contains(Line(last_point, first_point))) {
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// Append the polyline.
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pts_end.insert(pts_end.end(), polyline.points.begin(), polyline.points.end());
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continue;
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// clip pattern to boundaries, keeping the polyline order & ordering the fragment to be able to join them easily
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//Polylines polylines = intersection_pl(polylines_square, (Polygons)expolygon);
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Polylines polylines_chained;
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for (size_t idx_polyline = 0; idx_polyline < polylines_square.size(); ++idx_polyline) {
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Polyline &poly_to_cut = polylines_square[idx_polyline];
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Polylines polylines_to_sort = intersection_pl(Polylines() = { poly_to_cut }, (Polygons)expolygon);
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for (Polyline &polyline : polylines_to_sort) {
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//TODO: replace by closest_index_point()
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if (idx_polyline % 2 == 0) {
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if (poly_to_cut.points.front().distance_to_square(polyline.points.front()) > poly_to_cut.points.front().distance_to_square(polyline.points.back())) {
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polyline.reverse();
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}
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} else {
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if (poly_to_cut.points.back().distance_to_square(polyline.points.front()) > poly_to_cut.points.back().distance_to_square(polyline.points.back())) {
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polyline.reverse();
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}
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}
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// The lines cannot be connected.
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polylines_out.emplace_back(std::move(polyline));
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first = false;
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}
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if (polylines_to_sort.size() > 1) {
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Point nearest = poly_to_cut.points.front();
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if (idx_polyline % 2 != 0) {
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nearest = poly_to_cut.points.back();
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}
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//Bubble sort
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for (size_t idx_sort = polylines_to_sort.size() - 1; idx_sort > 0; idx_sort--) {
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for (size_t idx_bubble = 0; idx_bubble < idx_sort; idx_bubble++) {
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if (polylines_to_sort[idx_bubble + 1].points.front().distance_to_square(nearest) < polylines_to_sort[idx_bubble].points.front().distance_to_square(nearest)) {
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iter_swap(polylines_to_sort.begin() + idx_bubble, polylines_to_sort.begin() + idx_bubble + 1);
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}
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}
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}
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}
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polylines_chained.insert(polylines_chained.end(), polylines_to_sort.begin(), polylines_to_sort.end());
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}
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if (!polylines_chained.empty()) {
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// connect lines
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if (params.dont_connect) {
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polylines_out.insert(polylines_out.end(), polylines_chained.begin(), polylines_chained.end());
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} else {
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this->connect_infill(polylines_chained, expolygon, polylines_out);
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}
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}
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}
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