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synced 2025-08-19 18:39:09 +08:00
Remove usage of polygons_covered_by_width.
In SupportSpotsGenerator there is a need to compute integral over extrusions. The mentioned function is slow for this use case. As it solves a harder problem. It is better to iterate the extrusion lines directly.
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@ -174,6 +174,32 @@ Integrals::Integrals (const Polygons& polygons) {
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}
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}
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Integrals::Integrals(const Polylines& polylines, const std::vector<float>& widths) {
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assert(extrusion_lines.size() == widths.size());
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for (size_t i = 0; i < polylines.size(); ++i) {
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Lines polyline{polylines[i].lines()};
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float width{widths[i]};
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for (const Line& line : polyline) {
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Vec2f line_direction = unscaled(line.vector()).cast<float>();
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Vec2f normal{line_direction.y(), -line_direction.x()};
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normal.normalize();
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Vec2f line_a = unscaled(line.a).cast<float>();
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Vec2f line_b = unscaled(line.b).cast<float>();
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Vec2crd a = scaled(Vec2f{line_a + normal * width/2});
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Vec2crd b = scaled(Vec2f{line_b + normal * width/2});
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Vec2crd c = scaled(Vec2f{line_b - normal * width/2});
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Vec2crd d = scaled(Vec2f{line_a - normal * width/2});
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const Polygon ractangle({a, b, c, d});
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Integrals integrals{{ractangle}};
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this->area += integrals.area;
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this->x_i += integrals.x_i;
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this->x_i_squared += integrals.x_i_squared;
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this->xy += integrals.xy;
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}
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}
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}
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SliceConnection estimate_slice_connection(size_t slice_idx, const Layer *layer)
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{
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@ -473,18 +499,43 @@ ObjectPart::ObjectPart(
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continue;
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}
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const Polygons polygons{collection->polygons_covered_by_width()};
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for (const ExtrusionEntity* entity: collection->flatten()) {
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Polylines polylines;
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std::vector<float> widths;
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const Integrals integrals{polygons};
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const float volume = integrals.area * layer_height;
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this->volume += volume;
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this->volume_centroid_accumulator += to_3d(integrals.x_i, center_z * integrals.area) / integrals.area * volume;
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const auto* path = dynamic_cast<const ExtrusionPath*>(entity);
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if (path !=nullptr) {
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polylines.push_back(path->as_polyline());
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widths.push_back(path->width());
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}
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if (this->connected_to_bed) {
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this->sticking_area += integrals.area;
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this->sticking_centroid_accumulator += to_3d(integrals.x_i, bottom_z * integrals.area);
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this->sticking_second_moment_of_area_accumulator += integrals.x_i_squared;
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this->sticking_second_moment_of_area_covariance_accumulator += integrals.xy;
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const auto* loop = dynamic_cast<const ExtrusionLoop*>(entity);
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if (loop !=nullptr) {
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for (const ExtrusionPath& path : loop->paths) {
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polylines.push_back(path.as_polyline());
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widths.push_back(path.width());
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}
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}
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const auto* multi_path = dynamic_cast<const ExtrusionMultiPath*>(entity);
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if (multi_path !=nullptr) {
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for (const ExtrusionPath& path : multi_path->paths) {
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polylines.push_back(path.as_polyline());
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widths.push_back(path.width());
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}
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}
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const Integrals integrals{polylines, widths};
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const float volume = integrals.area * layer_height;
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this->volume += volume;
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this->volume_centroid_accumulator += to_3d(integrals.x_i, center_z * integrals.area) / integrals.area * volume;
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if (this->connected_to_bed) {
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this->sticking_area += integrals.area;
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this->sticking_centroid_accumulator += to_3d(integrals.x_i, bottom_z * integrals.area);
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this->sticking_second_moment_of_area_accumulator += integrals.x_i_squared;
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this->sticking_second_moment_of_area_covariance_accumulator += integrals.xy;
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}
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}
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}
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@ -151,6 +151,7 @@ class Integrals{
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* @param polygons List of polygons specifing the domain.
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*/
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explicit Integrals(const Polygons& polygons);
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explicit Integrals(const Polylines& polylines, const std::vector<float>& widths);
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// TODO refactor and delete the default constructor
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Integrals() = default;
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@ -159,6 +160,9 @@ class Integrals{
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Vec2f x_i{Vec2f::Zero()};
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Vec2f x_i_squared{Vec2f::Zero()};
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float xy{};
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private:
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void add(const Integrals& other);
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};
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float compute_second_moment(
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@ -6,7 +6,7 @@ using namespace Slic3r;
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using namespace SupportSpotsGenerator;
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TEST_CASE("Numerical integral calculation compared with exact solution.", "[SupportSpotsGenerator]") {
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TEST_CASE("Numerical integral over polygon calculation compared with exact solution.", "[SupportSpotsGenerator]") {
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const float width = 10;
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const float height = 20;
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const Polygon polygon = {
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@ -24,6 +24,19 @@ TEST_CASE("Numerical integral calculation compared with exact solution.", "[Supp
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CHECK(integrals.x_i_squared.y() == Approx(width * std::pow(height, 3) / 12));
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}
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TEST_CASE("Numerical integral over line calculation compared with exact solution.", "[SupportSpotsGenerator]") {
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const float length = 10;
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const float width = 20;
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const Polyline polyline{scaled(Vec2f{-length/2.0f, 0.0f}), scaled(Vec2f{length/2.0f, 0.0f})};
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const Integrals integrals{{polyline}, {width}};
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CHECK(integrals.area == Approx(length * width));
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CHECK(integrals.x_i.x() == Approx(0));
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CHECK(integrals.x_i.y() == Approx(0));
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CHECK(integrals.x_i_squared.x() == Approx(std::pow(length, 3) * width / 12));
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CHECK(integrals.x_i_squared.y() == Approx(length * std::pow(width, 3) / 12));
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}
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TEST_CASE("Moment values and ratio check.", "[SupportSpotsGenerator]") {
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const float width = 40;
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const float height = 2;
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