#include "../Layer.hpp" #include "../MotionPlanner.hpp" #include "../GCode.hpp" #include "../MotionPlanner.hpp" #include "../EdgeGrid.hpp" #include "../Geometry.hpp" #include "../ShortestPath.hpp" #include "../Print.hpp" #include "../Polygon.hpp" #include "../ExPolygon.hpp" #include "../ClipperUtils.hpp" #include "AvoidCrossingPerimeters.hpp" #include namespace Slic3r { void AvoidCrossingPerimeters::init_external_mp(const Print& print) { m_external_mp = Slic3r::make_unique(union_ex(this->collect_contours_all_layers(print.objects()))); } // Plan a travel move while minimizing the number of perimeter crossings. // point is in unscaled coordinates, in the coordinate system of the current active object // (set by gcodegen.set_origin()). Polyline AvoidCrossingPerimeters::travel_to(const GCode& gcodegen, const Point& point) { // If use_external, then perform the path planning in the world coordinate system (correcting for the gcodegen offset). // Otherwise perform the path planning in the coordinate system of the active object. bool use_external = this->use_external_mp || this->use_external_mp_once; Point scaled_origin = use_external ? Point::new_scale(gcodegen.origin()(0), gcodegen.origin()(1)) : Point(0, 0); Polyline result = (use_external ? m_external_mp.get() : m_layer_mp.get())-> shortest_path(gcodegen.last_pos() + scaled_origin, point + scaled_origin); if (use_external) result.translate(-scaled_origin); return result; } // Collect outer contours of all objects over all layers. // Discard objects only containing thin walls (offset would fail on an empty polygon). // Used by avoid crossing perimeters feature. Polygons AvoidCrossingPerimeters::collect_contours_all_layers(const PrintObjectPtrs& objects) { Polygons islands; for (const PrintObject* object : objects) { // Reducing all the object slices into the Z projection in a logarithimc fashion. // First reduce to half the number of layers. std::vector polygons_per_layer((object->layers().size() + 1) / 2); tbb::parallel_for(tbb::blocked_range(0, object->layers().size() / 2), [&object, &polygons_per_layer](const tbb::blocked_range& range) { for (size_t i = range.begin(); i < range.end(); ++i) { const Layer* layer1 = object->layers()[i * 2]; const Layer* layer2 = object->layers()[i * 2 + 1]; Polygons polys; polys.reserve(layer1->lslices.size() + layer2->lslices.size()); for (const ExPolygon& expoly : layer1->lslices) //FIXME no holes? polys.emplace_back(expoly.contour); for (const ExPolygon& expoly : layer2->lslices) //FIXME no holes? polys.emplace_back(expoly.contour); polygons_per_layer[i] = union_(polys); } }); if (object->layers().size() & 1) { const Layer* layer = object->layers().back(); Polygons polys; polys.reserve(layer->lslices.size()); for (const ExPolygon& expoly : layer->lslices) //FIXME no holes? polys.emplace_back(expoly.contour); polygons_per_layer.back() = union_(polys); } // Now reduce down to a single layer. size_t cnt = polygons_per_layer.size(); while (cnt > 1) { tbb::parallel_for(tbb::blocked_range(0, cnt / 2), [&polygons_per_layer](const tbb::blocked_range& range) { for (size_t i = range.begin(); i < range.end(); ++i) { Polygons polys; polys.reserve(polygons_per_layer[i * 2].size() + polygons_per_layer[i * 2 + 1].size()); polygons_append(polys, polygons_per_layer[i * 2]); polygons_append(polys, polygons_per_layer[i * 2 + 1]); polygons_per_layer[i * 2] = union_(polys); } }); for (size_t i = 1; i < cnt / 2; ++i) polygons_per_layer[i] = std::move(polygons_per_layer[i * 2]); if (cnt & 1) polygons_per_layer[cnt / 2] = std::move(polygons_per_layer[cnt - 1]); cnt = (cnt + 1) / 2; } // And collect copies of the objects. for (const PrintInstance& instance : object->instances()) { // All the layers were reduced to the 1st item of polygons_per_layer. size_t i = islands.size(); polygons_append(islands, polygons_per_layer.front()); for (; i < islands.size(); ++i) islands[i].translate(instance.shift); } } return islands; } // Create a rotation matrix for projection on the given vector static Matrix2d rotation_by_direction(const Point &direction) { Matrix2d rotation; rotation.block<1, 2>(0, 0) = direction.cast() / direction.cast().norm(); rotation(1, 0) = -rotation(0, 1); rotation(1, 1) = rotation(0, 0); return rotation; } static Point find_first_different_vertex(const Polygon &polygon, const size_t point_idx, const Point &point, bool forward) { if (point != polygon.points[point_idx]) return polygon.points[point_idx]; int line_idx = point_idx; if (forward) for (; point == polygon.points[line_idx]; line_idx = (((line_idx + 1) < int(polygon.points.size())) ? (line_idx + 1) : 0)); else for (; point == polygon.points[line_idx]; line_idx = (((line_idx - 1) >= 0) ? (line_idx - 1) : (int(polygon.points.size()) - 1))); return polygon.points[line_idx]; } static Vec2d three_points_inward_normal(const Point &left, const Point &middle, const Point &right) { assert(left != middle); assert(middle != right); Vec2d normal_1(-1 * (middle.y() - left.y()), middle.x() - left.x()); Vec2d normal_2(-1 * (right.y() - middle.y()), right.x() - middle.x()); normal_1.normalize(); normal_2.normalize(); return (normal_1 + normal_2).normalized(); }; static Vec2d get_polygon_vertex_inward_normal(const Polygon &polygon, const size_t point_idx) { const size_t left_idx = (point_idx <= 0) ? (polygon.size() - 1) : (point_idx - 1); const size_t right_idx = (point_idx >= (polygon.size() - 1)) ? 0 : (point_idx + 1); const Point &middle = polygon.points[point_idx]; const Point &left = find_first_different_vertex(polygon, left_idx, middle, false); const Point &right = find_first_different_vertex(polygon, right_idx, middle, true); return three_points_inward_normal(left, middle, right); } // Compute offset of polygon's in a direction inward normal static Point get_polygon_vertex_offset(const Polygon &polygon, const size_t point_idx, const int offset) { return polygon.points[point_idx] + (get_polygon_vertex_inward_normal(polygon, point_idx) * double(offset)).cast(); } static Point get_middle_point_offset(const Polygon &polygon, const size_t left_idx, const size_t right_idx, const Point &middle, const int offset) { const Point &left = find_first_different_vertex(polygon, left_idx, middle, false); const Point &right = find_first_different_vertex(polygon, right_idx, middle, true); return middle + (three_points_inward_normal(left, middle, right) * double(offset)).cast(); } static bool check_if_could_cross_perimeters(const BoundingBox &bbox, const Point &start, const Point &end) { bool start_out_of_bound = !bbox.contains(start), end_out_of_bound = !bbox.contains(end); // When both endpoints are out of the bounding box, it needs to check in more detail. if (start_out_of_bound && end_out_of_bound) { Point intersection; return bbox.polygon().intersection(Line(start, end), &intersection); } return true; } static std::pair clamp_endpoints_by_bounding_box(const BoundingBox &bbox, const Point &start, const Point &end) { bool start_out_of_bound = !bbox.contains(start), end_out_of_bound = !bbox.contains(end); Point start_clamped = start, end_clamped = end; Points intersections; if (start_out_of_bound || end_out_of_bound) { bbox.polygon().intersections(Line(start, end), &intersections); assert(intersections.size() <= 2); } if (start_out_of_bound && !end_out_of_bound && intersections.size() == 1) { start_clamped = intersections[0]; } else if (!start_out_of_bound && end_out_of_bound && intersections.size() == 1) { end_clamped = intersections[0]; } else if (start_out_of_bound && end_out_of_bound && intersections.size() == 2) { if ((intersections[0] - start).cast().norm() < (intersections[1] - start).cast().norm()) { start_clamped = intersections[0]; end_clamped = intersections[1]; } else { start_clamped = intersections[1]; end_clamped = intersections[0]; } } return std::make_pair(start_clamped, end_clamped); } static inline coord_t get_default_perimeter_spacing(const Print &print) { const std::vector &nozzle_diameters = print.config().nozzle_diameter.values; return scale_(*std::max_element(nozzle_diameters.begin(), nozzle_diameters.end())); } static coord_t get_perimeter_spacing(const Layer &layer) { size_t regions_count = 0; coord_t perimeter_spacing = 0; for (const LayerRegion *layer_region : layer.regions()) { perimeter_spacing += layer_region->flow(frPerimeter).scaled_spacing(); ++regions_count; } assert(perimeter_spacing >= 0); if (regions_count != 0) perimeter_spacing /= regions_count; else perimeter_spacing = get_default_perimeter_spacing(*layer.object()->print()); return perimeter_spacing; } static coord_t get_perimeter_spacing_external(const Layer &layer) { size_t regions_count = 0; coord_t perimeter_spacing = 0; for (const PrintObject *object : layer.object()->print()->objects()) for (Layer *l : object->layers()) if ((layer.print_z - EPSILON) <= l->print_z && l->print_z <= (layer.print_z + EPSILON)) for (const LayerRegion *layer_region : l->regions()) { perimeter_spacing += layer_region->flow(frPerimeter).scaled_spacing(); ++regions_count; } assert(perimeter_spacing >= 0); if (regions_count != 0) perimeter_spacing /= regions_count; else perimeter_spacing = get_default_perimeter_spacing(*layer.object()->print()); return perimeter_spacing; } ExPolygons AvoidCrossingPerimeters2::get_boundary(const Layer &layer) { const coord_t perimeter_spacing = get_perimeter_spacing(layer); const coord_t offset = perimeter_spacing / 2; size_t polygons_count = 0; for (const LayerRegion *layer_region : layer.regions()) polygons_count += layer_region->slices.surfaces.size(); ExPolygons boundary; boundary.reserve(polygons_count); for (const LayerRegion *layer_region : layer.regions()) for (const Surface &surface : layer_region->slices.surfaces) boundary.emplace_back(surface.expolygon); boundary = union_ex(boundary); ExPolygons perimeter_boundary = offset_ex(boundary, -offset); ExPolygons final_boundary; if (perimeter_boundary.size() != boundary.size()) { // If any part of the polygon is missing after shrinking, the boundary of slice is used instead. ExPolygons missing_perimeter_boundary = offset_ex(diff_ex(boundary, offset_ex(perimeter_boundary, offset + SCALED_EPSILON / 2)), offset + SCALED_EPSILON); perimeter_boundary = offset_ex(perimeter_boundary, offset); perimeter_boundary.reserve(perimeter_boundary.size() + missing_perimeter_boundary.size()); perimeter_boundary.insert(perimeter_boundary.begin(), missing_perimeter_boundary.begin(), missing_perimeter_boundary.end()); final_boundary = union_ex(intersection_ex(offset_ex(perimeter_boundary, -offset), boundary)); } else { final_boundary = std::move(perimeter_boundary); } // Add an outer boundary to avoid crossing perimeters from supports ExPolygons outer_boundary = diff_ex(offset_ex(boundary, 2 * perimeter_spacing), offset_ex(boundary, 2 * perimeter_spacing - offset)); final_boundary.reserve(final_boundary.size() + outer_boundary.size()); final_boundary.insert(final_boundary.begin(), outer_boundary.begin(), outer_boundary.end()); final_boundary = union_ex(final_boundary); // Collect all top layers that will not be crossed. polygons_count = 0; for (const LayerRegion *layer_region : layer.regions()) for (const Surface &surface : layer_region->fill_surfaces.surfaces) if (surface.is_top()) ++polygons_count; if (polygons_count > 0) { ExPolygons top_layer_polygons; top_layer_polygons.reserve(polygons_count); for (const LayerRegion *layer_region : layer.regions()) for (const Surface &surface : layer_region->fill_surfaces.surfaces) if (surface.is_top()) top_layer_polygons.emplace_back(surface.expolygon); top_layer_polygons = union_ex(top_layer_polygons); return diff_ex(final_boundary, offset_ex(top_layer_polygons, -offset)); } return final_boundary; } ExPolygons AvoidCrossingPerimeters2::get_boundary_external(const Layer &layer) { ExPolygons boundary; for (const PrintObject *object : layer.object()->print()->objects()) { ExPolygons polygons_per_obj; for (Layer *l : object->layers()) if ((layer.print_z - EPSILON) <= l->print_z && l->print_z <= (layer.print_z + EPSILON)) for (const LayerRegion *layer_region : l->regions()) for (const Surface &surface : layer_region->slices.surfaces) polygons_per_obj.emplace_back(surface.expolygon); for (const PrintInstance &instance : object->instances()) { size_t boundary_idx = boundary.size(); boundary.reserve(boundary.size() + polygons_per_obj.size()); boundary.insert(boundary.end(), polygons_per_obj.begin(), polygons_per_obj.end()); for (; boundary_idx < boundary.size(); ++boundary_idx) boundary[boundary_idx].translate(instance.shift.x(), instance.shift.y()); } } const coord_t perimeter_spacing = get_perimeter_spacing_external(layer); const coord_t perimeter_offset = perimeter_spacing / 2; Polygons contours; Polygons holes; for (ExPolygon &poly : boundary) { contours.emplace_back(poly.contour); append(holes, poly.holes); } ExPolygons final_boundary = union_ex(diff(offset(contours, perimeter_spacing * 3), offset(contours, 3 * perimeter_spacing - perimeter_offset))); ExPolygons holes_boundary = union_ex(diff(offset(holes, perimeter_spacing), offset(holes, perimeter_offset))); final_boundary.reserve(final_boundary.size() + holes_boundary.size()); final_boundary.insert(final_boundary.end(), holes_boundary.begin(), holes_boundary.end()); final_boundary = union_ex(final_boundary); return final_boundary; } // Returns a direction of the shortest path along the polygon boundary AvoidCrossingPerimeters2::Direction AvoidCrossingPerimeters2::get_shortest_direction(const Lines &lines, const size_t start_idx, const size_t end_idx, const Point &intersection_first, const Point &intersection_last) { double total_length_forward = (lines[start_idx].b - intersection_first).cast().norm(); double total_length_backward = (lines[start_idx].a - intersection_first).cast().norm(); auto cyclic_index = [&lines](int index) { if (index >= int(lines.size())) index = 0; else if (index < 0) index = lines.size() - 1; return index; }; for (int line_idx = cyclic_index(int(start_idx) + 1); line_idx != int(end_idx); line_idx = cyclic_index(line_idx + 1)) total_length_forward += lines[line_idx].length(); for (int line_idx = cyclic_index(int(start_idx) - 1); line_idx != int(end_idx); line_idx = cyclic_index(line_idx - 1)) total_length_backward += lines[line_idx].length(); total_length_forward += (lines[end_idx].a - intersection_last).cast().norm(); total_length_backward += (lines[end_idx].b - intersection_last).cast().norm(); return (total_length_forward < total_length_backward) ? Direction::Forward : Direction::Backward; } Polyline AvoidCrossingPerimeters2::simplify_travel(const EdgeGrid::Grid &edge_grid, const Polyline &travel) { struct Visitor { Visitor(const EdgeGrid::Grid &grid) : grid(grid) {} bool operator()(coord_t iy, coord_t ix) { assert(pt_current != nullptr); assert(pt_next != nullptr); // Called with a row and colum of the grid cell, which is intersected by a line. auto cell_data_range = grid.cell_data_range(iy, ix); this->intersect = false; for (auto it_contour_and_segment = cell_data_range.first; it_contour_and_segment != cell_data_range.second; ++it_contour_and_segment) { // End points of the line segment and their vector. auto segment = grid.segment(*it_contour_and_segment); if (Geometry::segments_intersect(segment.first, segment.second, *pt_current, *pt_next)) { this->intersect = true; return false; } } // Continue traversing the grid along the edge. return true; } const EdgeGrid::Grid &grid; const Slic3r::Point *pt_current = nullptr; const Slic3r::Point *pt_next = nullptr; bool intersect = false; } visitor(edge_grid); Polyline optimized_comb_path; optimized_comb_path.points.reserve(travel.points.size()); optimized_comb_path.points.emplace_back(travel.points.front()); // Try to skip some points in the path. for (size_t point_idx = 1; point_idx < travel.size(); point_idx++) { const Point ¤t_point = travel.points[point_idx - 1]; Point next = travel.points[point_idx]; visitor.pt_current = ¤t_point; for (size_t point_idx_2 = point_idx + 1; point_idx_2 < travel.size(); point_idx_2++) { if (travel.points[point_idx_2] == current_point) { next = travel.points[point_idx_2]; point_idx = point_idx_2; continue; } visitor.pt_next = &travel.points[point_idx_2]; edge_grid.visit_cells_intersecting_line(*visitor.pt_current, *visitor.pt_next, visitor); // Check if deleting point causes crossing a boundary if (!visitor.intersect) { next = travel.points[point_idx_2]; point_idx = point_idx_2; } } optimized_comb_path.append(next); } return optimized_comb_path; } Polyline AvoidCrossingPerimeters2::avoid_perimeters(const Polygons &boundaries, const EdgeGrid::Grid &edge_grid, const Point &start, const Point &end) { const Point direction = end - start; Matrix2d transform_to_x_axis = rotation_by_direction(direction); const Line travel_line_orig(start, end); const Line travel_line((transform_to_x_axis * start.cast()).cast(), (transform_to_x_axis * end.cast()).cast()); std::vector intersections; { struct Visitor { Visitor(const EdgeGrid::Grid & grid, std::vector &intersections, const Matrix2d & transform_to_x_axis, const Line & travel_line) : grid(grid), intersections(intersections), transform_to_x_axis(transform_to_x_axis), travel_line(travel_line) {} bool operator()(coord_t iy, coord_t ix) { // Called with a row and colum of the grid cell, which is intersected by a line. auto cell_data_range = grid.cell_data_range(iy, ix); for (auto it_contour_and_segment = cell_data_range.first; it_contour_and_segment != cell_data_range.second; ++it_contour_and_segment) { // End points of the line segment and their vector. auto segment = grid.segment(*it_contour_and_segment); Point intersection_point; if (travel_line.intersection(Line(segment.first, segment.second), &intersection_point) && intersection_set.find(*it_contour_and_segment) == intersection_set.end()) { intersections.emplace_back(it_contour_and_segment->first, it_contour_and_segment->second, (transform_to_x_axis * intersection_point.cast()).cast(), intersection_point); intersection_set.insert(*it_contour_and_segment); } } // Continue traversing the grid along the edge. return true; } const EdgeGrid::Grid &grid; std::vector &intersections; const Matrix2d &transform_to_x_axis; const Line &travel_line; std::unordered_set, boost::hash>> intersection_set; } visitor(edge_grid, intersections, transform_to_x_axis, travel_line_orig); edge_grid.visit_cells_intersecting_line(start, end, visitor); } std::sort(intersections.begin(), intersections.end()); Polyline result; result.append(start); for (auto it_first = intersections.begin(); it_first != intersections.end(); ++it_first) { const Intersection &intersection_first = *it_first; for (auto it_second = it_first + 1; it_second != intersections.end(); ++it_second) { const Intersection &intersection_second = *it_second; if (intersection_first.border_idx == intersection_second.border_idx) { Lines border_lines = boundaries[intersection_first.border_idx].lines(); // Append the nearest intersection into the path size_t left_idx = intersection_first.line_idx; size_t right_idx = (intersection_first.line_idx >= (boundaries[intersection_first.border_idx].points.size() - 1)) ? 0 : (intersection_first.line_idx + 1); result.append(get_middle_point_offset(boundaries[intersection_first.border_idx], left_idx, right_idx, intersection_first.point, SCALED_EPSILON)); Direction shortest_direction = get_shortest_direction(border_lines, intersection_first.line_idx, intersection_second.line_idx, intersection_first.point, intersection_second.point); // Append the path around the border into the path // Offset of the polygon's point is used to simplify calculation of intersection between boundary if (shortest_direction == Direction::Forward) for (int line_idx = intersection_first.line_idx; line_idx != int(intersection_second.line_idx); line_idx = (((line_idx + 1) < int(border_lines.size())) ? (line_idx + 1) : 0)) result.append(get_polygon_vertex_offset(boundaries[intersection_first.border_idx], (line_idx + 1 == int(boundaries[intersection_first.border_idx].points.size())) ? 0 : (line_idx + 1), SCALED_EPSILON)); else for (int line_idx = intersection_first.line_idx; line_idx != int(intersection_second.line_idx); line_idx = (((line_idx - 1) >= 0) ? (line_idx - 1) : (int(border_lines.size()) - 1))) result.append(get_polygon_vertex_offset(boundaries[intersection_second.border_idx], line_idx + 0, SCALED_EPSILON)); // Append the farthest intersection into the path left_idx = intersection_second.line_idx; right_idx = (intersection_second.line_idx >= (boundaries[intersection_second.border_idx].points.size() - 1)) ? 0 : (intersection_second.line_idx + 1); result.append(get_middle_point_offset(boundaries[intersection_second.border_idx], left_idx, right_idx, intersection_second.point, SCALED_EPSILON)); // Skip intersections in between it_first = (it_second - 1); break; } } } result.append(end); return simplify_travel(edge_grid, result); } Polyline AvoidCrossingPerimeters2::travel_to(const GCode &gcodegen, const Point &point) { // If use_external, then perform the path planning in the world coordinate system (correcting for the gcodegen offset). // Otherwise perform the path planning in the coordinate system of the active object. bool use_external = this->use_external_mp || this->use_external_mp_once; Point scaled_origin = use_external ? Point::new_scale(gcodegen.origin()(0), gcodegen.origin()(1)) : Point(0, 0); Point start = gcodegen.last_pos() + scaled_origin; Point end = point + scaled_origin; Polyline result; if (!check_if_could_cross_perimeters(use_external ? m_bbox_external : m_bbox, start, end)) { result = Polyline({start, end}); } else { auto [start_clamped, end_clamped] = clamp_endpoints_by_bounding_box(use_external ? m_bbox_external : m_bbox, start, end); if (use_external) result = this->avoid_perimeters(m_boundaries_external, m_grid_external, start_clamped, end_clamped); else result = this->avoid_perimeters(m_boundaries, m_grid, start_clamped, end_clamped); } result.points.front() = start; result.points.back() = end; Line travel(start, end); double max_detour_length scale_(gcodegen.config().avoid_crossing_perimeters_max_detour); if ((max_detour_length > 0) && ((result.length() - travel.length()) > max_detour_length)) { result = Polyline({start, end}); } if (use_external) result.translate(-scaled_origin); return result; } void AvoidCrossingPerimeters2::init_layer(const Layer &layer) { m_boundaries.clear(); m_boundaries_external.clear(); ExPolygons boundaries = get_boundary(layer); ExPolygons boundaries_external = get_boundary_external(layer); m_bbox = get_extents(boundaries); m_bbox.offset(SCALED_EPSILON); m_bbox_external = get_extents(boundaries_external); m_bbox_external.offset(SCALED_EPSILON); for (const ExPolygon &ex_poly : boundaries) { m_boundaries.emplace_back(ex_poly.contour); append(m_boundaries, ex_poly.holes); } for (const ExPolygon &ex_poly : boundaries_external) { m_boundaries_external.emplace_back(ex_poly.contour); append(m_boundaries_external, ex_poly.holes); } m_grid.set_bbox(m_bbox); m_grid.create(m_boundaries, scale_(1.)); m_grid_external.set_bbox(m_bbox_external); m_grid_external.create(m_boundaries_external, scale_(1.)); } } // namespace Slic3r