Slic3r::FillAdaptive Namespace Reference

Classes
struct	Cube
struct	CubeProperties
struct	FillContext
class	Filler
struct	Intersection
struct	Octree
struct	OctreeDeleter

Typedefs
using	rtree_point_t = bgm::point< float, 2, boost::geometry::cs::cartesian >
using	rtree_segment_t = bgm::segment< rtree_point_t >
using	rtree_t = bgi::rtree< std::pair< rtree_segment_t, size_t >, bgi::rstar< 16, 4 > >
using	OctreePtr = std::unique_ptr< Octree, OctreeDeleter >

Functions
template<typename Vector >
bool	triangle_AABB_intersects (const Vector &a, const Vector &b, const Vector &c, const BoundingBoxBase< Vector > &aabb)
std::pair< double, double >	adaptive_fill_line_spacing (const PrintObject &print_object)
Eigen::Quaterniond	transform_to_world ()
Eigen::Quaterniond	transform_to_octree ()
static bool	verify_traversal_order (FillContext &context, const Cube *cube, int depth, const Vec2d &line_from, const Vec2d &line_to)
static void	generate_infill_lines_recursive (FillContext &context, const Cube *cube, int address, int depth)
static Intersection *	get_nearest_intersection (std::vector< std::pair< Intersection *, double > > &intersect_line, const size_t first_idx)
static Line	create_offset_line (Line offset_line, const Intersection &intersection, const double scaled_offset)
static rtree_point_t	mk_rtree_point (const Point &pt)
static rtree_segment_t	mk_rtree_seg (const Point &a, const Point &b)
static rtree_segment_t	mk_rtree_seg (const Line &l)
static void	add_hook (const Intersection &intersection, const double scaled_offset, const coordf_t hook_length, double scaled_trim_distance, const rtree_t &rtree, const Lines &lines_src)
bool	validate_intersection_t_joint (const Intersection &intersection)
bool	validate_intersections (const std::vector< Intersection > &intersections)
static Polylines	connect_lines_using_hooks (Polylines &&lines, const ExPolygon &boundary, const double spacing, const coordf_t hook_length, const coordf_t hook_length_max)
bool	has_no_collinear_lines (const Polylines &polylines)
static std::vector< CubeProperties >	make_cubes_properties (double max_cube_edge_length, double line_spacing)
static bool	is_overhang_triangle (const Vec3d &a, const Vec3d &b, const Vec3d &c, const Vec3d &up)
static void	transform_center (Cube *current_cube, const Eigen::Matrix3d &rot)
OctreePtr	build_octree (const indexed_triangle_set &triangle_mesh, const std::vector< Vec3d > &overhang_triangles, coordf_t line_spacing, bool support_overhangs_only)

Variables
static const std::array< Vec3d, 8 >	child_centers
static constexpr std::array< std::array< int, 8 >, 3 >	child_traversal_order
static constexpr double	octree_rot [3] = { 5.0 * M_PI / 4.0, Geometry::deg2rad(215.264), M_PI / 6.0 }

---

Class Documentation

Slic3r::FillAdaptive::CubeProperties

struct Slic3r::FillAdaptive::CubeProperties

Class Members
double	diagonal_length
double	edge_length
double	height
double	line_xy_distance
double	line_z_distance

Typedef Documentation

OctreePtr

typedef std::unique_ptr< Octree, OctreeDeleter > Slic3r::FillAdaptive::OctreePtr

rtree_point_t

using Slic3r::FillAdaptive::rtree_point_t = typedef bgm::point<float, 2, boost::geometry::cs::cartesian>

rtree_segment_t

using Slic3r::FillAdaptive::rtree_segment_t = typedef bgm::segment<rtree_point_t>

rtree_t

using Slic3r::FillAdaptive::rtree_t = typedef bgi::rtree<std::pair<rtree_segment_t, size_t>, bgi::rstar<16, 4> >

Function Documentation

adaptive_fill_line_spacing()

std::pair< double, double > Slic3r::FillAdaptive::adaptive_fill_line_spacing

(

const PrintObject &

print_object

)

{
    // Output, spacing for icAdaptiveCubic and icSupportCubic
    double  adaptive_line_spacing = 0.;
    double  support_line_spacing = 0.;
 
    enum class Tristate {
        Yes,
        No,
        Maybe
    };
    struct RegionFillData {
        Tristate        has_adaptive_infill;
        Tristate        has_support_infill;
        double          density;
        double          extrusion_width;
    };
    std::vector<RegionFillData> region_fill_data;
    region_fill_data.reserve(print_object.num_printing_regions());
    bool                       build_octree                   = false;
    const std::vector<double> &nozzle_diameters               = print_object.print()->config().nozzle_diameter.values;
    double                     max_nozzle_diameter            = *std::max_element(nozzle_diameters.begin(), nozzle_diameters.end());
    double                     default_infill_extrusion_width = Flow::auto_extrusion_width(FlowRole::frInfill, float(max_nozzle_diameter));
    for (size_t region_id = 0; region_id < print_object.num_printing_regions(); ++ region_id) {
        const PrintRegionConfig &config                 = print_object.printing_region(region_id).config();
        bool                     nonempty               = config.fill_density > 0;
        bool                     has_adaptive_infill    = nonempty && config.fill_pattern == ipAdaptiveCubic;
        bool                     has_support_infill     = nonempty && config.fill_pattern == ipSupportCubic;
        double                   infill_extrusion_width = config.infill_extrusion_width.percent ? default_infill_extrusion_width * 0.01 * config.infill_extrusion_width : config.infill_extrusion_width;
        region_fill_data.push_back(RegionFillData({
            has_adaptive_infill ? Tristate::Maybe : Tristate::No,
            has_support_infill ? Tristate::Maybe : Tristate::No,
            config.fill_density,
            infill_extrusion_width != 0. ? infill_extrusion_width : default_infill_extrusion_width
        }));
        build_octree |= has_adaptive_infill || has_support_infill;
    }
 
    if (build_octree) {
        // Compute the average of above parameters over all layers
        for (const Layer *layer : print_object.layers())
            for (size_t region_id = 0; region_id < layer->regions().size(); ++ region_id) {
                RegionFillData &rd = region_fill_data[region_id];
                if (rd.has_adaptive_infill == Tristate::Maybe && ! layer->regions()[region_id]->fill_surfaces().empty())
                    rd.has_adaptive_infill = Tristate::Yes;
                if (rd.has_support_infill == Tristate::Maybe && ! layer->regions()[region_id]->fill_surfaces().empty())
                    rd.has_support_infill = Tristate::Yes;
            }
 
        double  adaptive_fill_density           = 0.;
        double  adaptive_infill_extrusion_width = 0.;
        int     adaptive_cnt                    = 0;
        double  support_fill_density            = 0.;
        double  support_infill_extrusion_width  = 0.;
        int     support_cnt                     = 0;
 
        for (const RegionFillData &rd : region_fill_data) {
            if (rd.has_adaptive_infill == Tristate::Yes) {
                adaptive_fill_density           += rd.density;
                adaptive_infill_extrusion_width += rd.extrusion_width;
                ++ adaptive_cnt;
            } else if (rd.has_support_infill == Tristate::Yes) {
                support_fill_density           += rd.density;
                support_infill_extrusion_width += rd.extrusion_width;
                ++ support_cnt;
            }
        }
 
        auto to_line_spacing = [](int cnt, double density, double extrusion_width) {
            if (cnt) {
                density         /= double(cnt);
                extrusion_width /= double(cnt);
                return extrusion_width / ((density / 100.0f) * 0.333333333f);
            } else
                return 0.;
        };
        adaptive_line_spacing = to_line_spacing(adaptive_cnt, adaptive_fill_density, adaptive_infill_extrusion_width);
        support_line_spacing  = to_line_spacing(support_cnt, support_fill_density, support_infill_extrusion_width);
    }
 
    return std::make_pair(adaptive_line_spacing, support_line_spacing);
}

References Slic3r::Flow::auto_extrusion_width(), build_octree(), Slic3r::PrintRegion::config(), Slic3r::Print::config(), Slic3r::frInfill, Slic3r::infill_extrusion_width(), Slic3r::ipAdaptiveCubic, Slic3r::ipSupportCubic, Slic3r::PrintObject::layers(), Slic3r::No, Slic3r::PrintObject::num_printing_regions(), Slic3r::PrintObjectBaseWithState< PrintType, PrintObjectStepEnumType, COUNT >::print(), Slic3r::PrintObject::printing_region(), Slic3r::PrintRegionConfig, and Slic3r::Yes.

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add_hook()

static void Slic3r::FillAdaptive::add_hook ( const Intersection &  intersection, const double  scaled_offset, const coordf_t  hook_length, double  scaled_trim_distance, const rtree_t &  rtree, const Lines &  lines_src  )

static

{
    if (hook_length < SCALED_EPSILON)
        // Ignore open hooks.
        return;
 
#ifndef NDEBUG
    {
        const Vec2d  v  = (intersection.closest_line->b - intersection.closest_line->a).cast<double>();
        const Vec2d  va = (intersection.intersect_point - intersection.closest_line->a).cast<double>();
        const double l2 = v.squaredNorm();  // avoid a sqrt
        assert(l2 > 0.);
        const double t  = va.dot(v) / l2;
        assert(t > 0. && t < 1.);
        const double          d  = (t * v - va).norm();
        assert(d < 1000.);
    }
#endif // NDEBUG
 
    // Trim the hook start by the infill line it will connect to.
    Point hook_start;
 
    [[maybe_unused]] bool intersection_found = intersection.intersect_line->intersection(
        create_offset_line(*intersection.closest_line, intersection, scaled_offset),
        &hook_start);
    assert(intersection_found);
 
    std::optional<Line> other_hook = intersection.other_hook();
 
    Vec2d   hook_vector_norm = intersection.closest_line->vector().cast<double>().normalized();
    // hook_vector is extended by the thickness of the infill line, so that a collision is found against
    // the infill centerline to be later trimmed by the thickened line.
    Vector  hook_vector      = ((hook_length + 1.16 * scaled_trim_distance) * hook_vector_norm).cast<coord_t>();
    Line    hook_forward(hook_start, hook_start + hook_vector);
 
    auto filter_itself = [&intersection, &lines_src](const auto &item) { return item.second != (long unsigned int)(intersection.intersect_line - lines_src.data()); };
 
    std::vector<std::pair<rtree_segment_t, size_t>> hook_intersections;
    rtree.query(bgi::intersects(mk_rtree_seg(hook_forward)) && bgi::satisfies(filter_itself), std::back_inserter(hook_intersections));
    Point self_intersection_point;
    bool  self_intersection = other_hook && other_hook->intersection(hook_forward, &self_intersection_point);
 
    // Find closest intersection of a line segment starting with pt pointing in dir
    // with any of the hook_intersections, returns Euclidian distance.
    // dir is normalized.
    auto max_hook_length = [hook_length, scaled_trim_distance, &lines_src](
        const Vec2d &pt, const Vec2d &dir,
        const std::vector<std::pair<rtree_segment_t, size_t>> &hook_intersections,
        bool self_intersection, const std::optional<Line> &self_intersection_line, const Point &self_intersection_point) {
        // No hook is longer than hook_length, there shouldn't be any intersection closer than that.
        auto max_length = hook_length;
        auto update_max_length = [&max_length](double d) {
            if (d < max_length)
                max_length = d;
        };
        // Shift the trimming point away from the colliding thick line.
        auto shift_from_thick_line = [&dir, scaled_trim_distance](const Vec2d& dir2) {
            return scaled_trim_distance * std::abs(cross2(dir, dir2.normalized()));
        };
 
        for (const auto &hook_intersection : hook_intersections) {
            const rtree_segment_t &segment = hook_intersection.first;
            // Segment start and end points, segment vector.
            Vec2d pt2(bg::get<0, 0>(segment), bg::get<0, 1>(segment));
            Vec2d dir2 = Vec2d(bg::get<1, 0>(segment), bg::get<1, 1>(segment)) - pt2;
            // Find intersection of (pt, dir) with (pt2, dir2), where dir is normalized.
            double denom = cross2(dir, dir2);
            assert(std::abs(denom) > EPSILON);
            double t = cross2(pt2 - pt, dir2) / denom;
            if (hook_intersection.second < lines_src.size())
                // Trimming by another infill line. Reduce overlap.
                t -= shift_from_thick_line(dir2);
            update_max_length(t);
        }
        if (self_intersection) {
            double t = (self_intersection_point.cast<double>() - pt).dot(dir) - shift_from_thick_line((*self_intersection_line).vector().cast<double>());
            max_length = std::min(max_length, t);
        }
        return std::max(0., max_length);
    };
 
    Vec2d  hook_startf              = hook_start.cast<double>();
    double hook_forward_max_length  = max_hook_length(hook_startf, hook_vector_norm, hook_intersections, self_intersection, other_hook, self_intersection_point);
    double hook_backward_max_length = 0.;
    if (hook_forward_max_length < hook_length - SCALED_EPSILON) {
        // Try the other side.
        hook_intersections.clear();
        Line hook_backward(hook_start, hook_start - hook_vector);
        rtree.query(bgi::intersects(mk_rtree_seg(hook_backward)) && bgi::satisfies(filter_itself), std::back_inserter(hook_intersections));
        self_intersection = other_hook && other_hook->intersection(hook_backward, &self_intersection_point);
        hook_backward_max_length = max_hook_length(hook_startf, - hook_vector_norm, hook_intersections, self_intersection, other_hook, self_intersection_point);
    }
 
    // Take the longer hook.
    Vec2d hook_dir = (hook_forward_max_length > hook_backward_max_length ? hook_forward_max_length : - hook_backward_max_length) * hook_vector_norm;
    Point hook_end = hook_start + hook_dir.cast<coord_t>();
 
    Points &pl = intersection.intersect_pl->points;
    if (intersection.front) {
        pl.front() = hook_start;
        pl.emplace(pl.begin(), hook_end);
    } else {
        pl.back() = hook_start;
        pl.emplace_back(hook_end);
    }
}

References create_offset_line(), Slic3r::cross2(), EPSILON, Slic3r::intersection(), Slic3r::l2(), mk_rtree_seg(), SCALED_EPSILON, and segment().

Referenced by connect_lines_using_hooks().

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build_octree()

FillAdaptive::OctreePtr Slic3r::FillAdaptive::build_octree	(	const indexed_triangle_set &	triangle_mesh,
		const std::vector< Vec3d > &	overhang_triangles,
		coordf_t	line_spacing,
		bool	support_overhangs_only
	)

{
    assert(line_spacing > 0);
    assert(! std::isnan(line_spacing));
 
    BoundingBox3Base<Vec3f>     bbox(triangle_mesh.vertices);
    Vec3d                       cube_center      = bbox.center().cast<double>();
    std::vector<CubeProperties> cubes_properties = make_cubes_properties(double(bbox.size().maxCoeff()), line_spacing);
    auto                        octree           = OctreePtr(new Octree(cube_center, cubes_properties));
 
    if (cubes_properties.size() > 1) {
        Octree *octree_ptr = octree.get();
        double edge_length_half = 0.5 * cubes_properties.back().edge_length;
        Vec3d  diag_half(edge_length_half, edge_length_half, edge_length_half);
        int    max_depth = int(cubes_properties.size()) - 1;
        auto process_triangle = [octree_ptr, max_depth, diag_half](const Vec3d &a, const Vec3d &b, const Vec3d &c) {
            octree_ptr->insert_triangle(
                a, b, c,
                octree_ptr->root_cube,
                BoundingBoxf3(octree_ptr->root_cube->center - diag_half, octree_ptr->root_cube->center + diag_half),
                max_depth);
        };
        auto up_vector = support_overhangs_only ? Vec3d(transform_to_octree() * Vec3d(0., 0., 1.)) : Vec3d();
        for (auto &tri : triangle_mesh.indices) {
            auto a = triangle_mesh.vertices[tri[0]].cast<double>();
            auto b = triangle_mesh.vertices[tri[1]].cast<double>();
            auto c = triangle_mesh.vertices[tri[2]].cast<double>();
            if (! support_overhangs_only || is_overhang_triangle(a, b, c, up_vector))
                process_triangle(a, b, c);
        }
        for (size_t i = 0; i < overhang_triangles.size(); i += 3)
            process_triangle(overhang_triangles[i], overhang_triangles[i + 1], overhang_triangles[i + 2]);
        {
            // Transform the octree to world coordinates to reduce computation when extracting infill lines.
            auto rot = transform_to_world().toRotationMatrix();
            transform_center(octree->root_cube, rot);
            octree->origin = rot * octree->origin;
        }
    }
 
    return octree;
}

References build_octree(), Slic3r::BoundingBox3Base< PointType >::center(), Slic3r::FillAdaptive::Cube::center, indexed_triangle_set::indices, Slic3r::FillAdaptive::Octree::insert_triangle(), is_overhang_triangle(), make_cubes_properties(), Slic3r::FillAdaptive::Octree::root_cube, Slic3r::BoundingBox3Base< PointType >::size(), Eigen::QuaternionBase< Derived >::toRotationMatrix(), transform_center(), transform_to_octree(), transform_to_world(), and indexed_triangle_set::vertices.

Referenced by adaptive_fill_line_spacing(), and build_octree().

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connect_lines_using_hooks()

static Polylines Slic3r::FillAdaptive::connect_lines_using_hooks ( Polylines &&  lines, const ExPolygon &  boundary, const double  spacing, const coordf_t  hook_length, const coordf_t  hook_length_max  )

static

{
    rtree_t rtree;
    size_t  poly_idx = 0;
 
    // 19% overlap, slightly lower than the allowed overlap in Fill::connect_infill()
    const float scaled_offset           = float(scale_(spacing) * 0.81);
    // 25% overlap
    const float scaled_trim_distance    = float(scale_(spacing) * 0.5 * 0.75);
 
    // Keeping the vector of closest points outside the loop, so the vector does not need to be reallocated.
    std::vector<std::pair<rtree_segment_t, size_t>> closest;
    // Pairs of lines touching at one end point. The pair is sorted to make the end point connection test symmetric.
    std::vector<std::pair<const Polyline*, const Polyline*>> lines_touching_at_endpoints;
    {
        // Insert infill lines into rtree, merge close collinear segments split by the infill boundary,
        // collect lines_touching_at_endpoints.
        double r2_close = Slic3r::sqr(1200.);
        for (Polyline &poly : lines) {
            assert(poly.points.size() == 2);
            if (&poly != lines.data()) {
                // Join collinear segments separated by a tiny gap. These gaps were likely created by clipping the infill lines with a concave dent in an infill boundary.
                auto collinear_segment = [&rtree, &closest, &lines, &lines_touching_at_endpoints, r2_close](const Point& pt, const Point& pt_other, const Polyline* polyline) -> std::pair<Polyline*, bool> {
                    closest.clear();
                    rtree.query(bgi::nearest(mk_rtree_point(pt), 1), std::back_inserter(closest));
                    const Polyline *other = &lines[closest.front().second];
                    double dist2_front = (other->points.front() - pt).cast<double>().squaredNorm();
                    double dist2_back  = (other->points.back() - pt).cast<double>().squaredNorm();
                    double dist2_min   = std::min(dist2_front, dist2_back);
                    if (dist2_min < r2_close) {
                        // Don't connect the segments in an opposite direction.
                        double dist2_min_other = std::min((other->points.front() - pt_other).cast<double>().squaredNorm(), (other->points.back() - pt_other).cast<double>().squaredNorm());
                        if (dist2_min_other > dist2_min) {
                            // End points of the two lines are very close, they should have been merged together if they are collinear.
                            Vec2d v1 = (pt_other - pt).cast<double>();
                            Vec2d v2 = (other->points.back() - other->points.front()).cast<double>();
                            Vec2d v1n = v1.normalized();
                            Vec2d v2n = v2.normalized();
                            // The vectors must not be collinear.
                            double d = v1n.dot(v2n);
                            if (std::abs(d) > 0.99f) {
                                // Lines are collinear, merge them.
                                rtree.remove(closest.front());
                                return std::make_pair(const_cast<Polyline*>(other), dist2_min == dist2_front);
                            } else {
                                if (polyline > other)
                                    std::swap(polyline, other);
                                lines_touching_at_endpoints.emplace_back(polyline, other);
                            }
                        }
                    }
                    return std::make_pair(static_cast<Polyline*>(nullptr), false);
                };
                auto collinear_front = collinear_segment(poly.points.front(), poly.points.back(),  &poly);
                auto collinear_back  = collinear_segment(poly.points.back(),  poly.points.front(), &poly);
                assert(! collinear_front.first || ! collinear_back.first || collinear_front.first != collinear_back.first);
                if (collinear_front.first) {
                    Polyline &other = *collinear_front.first;
                    assert(&other != &poly);
                    poly.points.front() = collinear_front.second ? other.points.back() : other.points.front();
                    other.points.clear();
                }
                if (collinear_back.first) {
                    Polyline &other = *collinear_back.first;
                    assert(&other != &poly);
                    poly.points.back() = collinear_back.second ? other.points.back() : other.points.front();
                    other.points.clear();
                }
            }
            rtree.insert(std::make_pair(mk_rtree_seg(poly.points.front(), poly.points.back()), poly_idx++));
        }
    }
 
    // Convert input polylines to lines_src after the colinear segments were merged.
    Lines lines_src;
    lines_src.reserve(lines.size());
    std::transform(lines.begin(), lines.end(), std::back_inserter(lines_src), [](const Polyline &pl) { 
        return pl.empty() ? Line(Point(0, 0), Point(0, 0)) : Line(pl.points.front(), pl.points.back()); });
 
    sort_remove_duplicates(lines_touching_at_endpoints);
 
    std::vector<Intersection> intersections;
    {
        // Minimum lenght of an infill line to anchor. Very short lines cannot be trimmed from both sides,
        // it does not help to anchor extremely short infill lines, it consumes too much plastic while not adding
        // to the object rigidity.
        assert(scaled_offset > scaled_trim_distance);
        const double line_len_threshold_drop_both_sides    = scaled_offset * (2. / cos(PI / 6.) + 0.5) + SCALED_EPSILON;
        const double line_len_threshold_anchor_both_sides  = line_len_threshold_drop_both_sides + scaled_offset;
        const double line_len_threshold_drop_single_side   = scaled_offset * (1. / cos(PI / 6.) + 1.5) + SCALED_EPSILON;
        const double line_len_threshold_anchor_single_side = line_len_threshold_drop_single_side + scaled_offset;
        for (size_t line_idx = 0; line_idx < lines.size(); ++ line_idx) {
            Polyline    &line        = lines[line_idx];
            if (line.points.empty())
                continue;
 
            Point &front_point = line.points.front();
            Point &back_point  = line.points.back();
 
            // Find the nearest line from the start point of the line.
            std::optional<size_t> tjoint_front, tjoint_back;
            {
                auto has_tjoint = [&closest, line_idx, &rtree, &lines, &lines_src](const Point &pt) {
                    auto filter_t_joint = [line_idx, &lines_src, pt](const auto &item) { 
                        if (item.second != line_idx) {
                            // Verify that the point projects onto the line.
                            const Line  &line = lines_src[item.second];
                            const Vec2d  v  = (line.b - line.a).cast<double>();
                            const Vec2d  va = (pt - line.a).cast<double>();
                            const double l2 = v.squaredNorm();  // avoid a sqrt
                            if (l2 > 0.) {
                                const double t = va.dot(v);
                                return t > SCALED_EPSILON && t < l2 - SCALED_EPSILON;
                            }
                        }
                        return false;
                    };
                    closest.clear();
                    rtree.query(bgi::nearest(mk_rtree_point(pt), 1) && bgi::satisfies(filter_t_joint), std::back_inserter(closest));
                    std::optional<size_t> out;
                    if (! closest.empty()) {
                        const Polyline &pl = lines[closest.front().second];
                        if (pl.points.empty()) {
                            // The closest infill line was already dropped as it was too short.
                            // Such an infill line should not make a T-joint anyways.
    #if 0 // #ifndef NDEBUG
                            const auto &seg = closest.front().first;
                            struct Linef { Vec2d a; Vec2d b; };
                            Linef l { { bg::get<0, 0>(seg), bg::get<0, 1>(seg) }, { bg::get<1, 0>(seg), bg::get<1, 1>(seg) } };
                            assert(line_alg::distance_to_squared(l, Vec2d(pt.cast<double>())) > 1000 * 1000);
    #endif // NDEBUG
                        } else if (pl.size() >= 2 && 
                            //FIXME Hoping that pl is really a line, trimmed by a polygon using ClipperUtils. Sometimes Clipper leaves some additional collinear points on the polyline, let's hope it is all right.
                            Line{ pl.front(), pl.back() }.distance_to_squared(pt) <= 1000 * 1000)
                            out = closest.front().second;
                    }
                    return out;
                };
                // Refuse to create a T-joint if the infill lines touch at their ends.
                auto filter_end_point_connections = [&lines_touching_at_endpoints, &lines, &line](std::optional<size_t> in) {
                    std::optional<size_t> out;
                    if (in) {
                        const Polyline *lo = &line;
                        const Polyline *hi = &lines[*in];
                        if (lo > hi)
                            std::swap(lo, hi);
                        if (! std::binary_search(lines_touching_at_endpoints.begin(), lines_touching_at_endpoints.end(), std::make_pair(lo, hi)))
                            // Not an end-point connection, it is a valid T-joint.
                            out = in;
                    }
                    return out;
                };
                tjoint_front = filter_end_point_connections(has_tjoint(front_point));
                tjoint_back  = filter_end_point_connections(has_tjoint(back_point));
            }
 
            int num_tjoints = int(tjoint_front.has_value()) + int(tjoint_back.has_value());
            if (num_tjoints > 0) {
                double line_len   = line.length();
                bool   drop       = false;
                bool   anchor     = false;
                if (num_tjoints == 1) {
                    // Connected to perimeters on a single side only, connected to another infill line on the other side.
                    drop   = line_len < line_len_threshold_drop_single_side;
                    anchor = line_len > line_len_threshold_anchor_single_side;
                } else {
                    // Not connected to perimeters at all, connected to two infill lines.
                    assert(num_tjoints == 2);                    
                    drop   = line_len < line_len_threshold_drop_both_sides;
                    anchor = line_len > line_len_threshold_anchor_both_sides;
                }
                if (drop) {
                    // Drop a very short line if connected to another infill line.
                    // Lines shorter than spacing are skipped because it is needed to shrink a line by the value of spacing.
                    // A shorter line than spacing could produce a degenerate polyline.
                    line.points.clear();
                } else if (anchor) {
                    if (tjoint_front) {
                        // T-joint of line's front point with the 'closest' line.
                        intersections.emplace_back(lines_src[*tjoint_front], lines_src[line_idx], &line, front_point, true);
                        assert(validate_intersection_t_joint(intersections.back()));
                    }
                    if (tjoint_back) {
                        // T-joint of line's back point with the 'closest' line.
                        intersections.emplace_back(lines_src[*tjoint_back],  lines_src[line_idx], &line, back_point,  false);
                        assert(validate_intersection_t_joint(intersections.back()));
                    }
                } else {
                    if (tjoint_front)
                        // T joint at the front at a 60 degree angle, the line is very short.
                        // Trim the front side.
                        front_point += ((scaled_trim_distance * 1.155) * (back_point - front_point).cast<double>().normalized()).cast<coord_t>();
                    if (tjoint_back)
                        // T joint at the front at a 60 degree angle, the line is very short.
                        // Trim the front side.
                        back_point  += ((scaled_trim_distance * 1.155) * (front_point - back_point).cast<double>().normalized()).cast<coord_t>();
                }
            }
        }
        // Remove those intersections, that point to a dropped line.
        for (auto it = intersections.begin(); it != intersections.end(); ) {
            assert(! lines[it->intersect_line - lines_src.data()].points.empty());
            if (lines[it->closest_line - lines_src.data()].points.empty()) {
                *it = intersections.back();
                intersections.pop_back();
            } else
                ++ it;
        }
    }
    assert(validate_intersections(intersections));
 
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
    static int iRun = 0;
    int iStep = 0;
    {
        Points pts;
        for (const Intersection &i : intersections)
            pts.emplace_back(i.intersect_point);
        export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-Tjoints-%d.svg", iRun++), pts);
    }
#endif /* ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT */
 
    // Sort lexicographically by closest_line_idx and left/right orientation.
    std::sort(intersections.begin(), intersections.end(),
      [](const Intersection &i1, const Intersection &i2) {
            return (i1.closest_line == i2.closest_line) ?
                int(i1.left) < int(i2.left) :
                i1.closest_line < i2.closest_line;
        });
 
    std::vector<size_t> merged_with(lines.size());
    std::iota(merged_with.begin(), merged_with.end(), 0);
 
    // Appends the boundary polygon with all holes to rtree for detection to check whether hooks are not crossing the boundary
    {
        Point prev = boundary.contour.points.back();
        for (const Point &point : boundary.contour.points) {
            rtree.insert(std::make_pair(mk_rtree_seg(prev, point), poly_idx++));
            prev = point;
        }
        for (const Polygon &polygon : boundary.holes) {
            Point prev = polygon.points.back();
            for (const Point &point : polygon.points) {
                rtree.insert(std::make_pair(mk_rtree_seg(prev, point), poly_idx++));
                prev = point;
            }
        }
    }
 
    auto update_merged_polyline_idx = [&merged_with](size_t pl_idx) {
        // Update the polyline index to index which is merged
        for (size_t last = pl_idx;;) {
            size_t lower = merged_with[last];
            if (lower == last) {
                merged_with[pl_idx] = lower;
                return lower;
            }
            last = lower;
        }
        assert(false);
        return size_t(0);
    };
    auto update_merged_polyline = [&lines, update_merged_polyline_idx](Intersection& intersection) {
        // Update the polyline index to index which is merged
        size_t intersect_pl_idx = update_merged_polyline_idx(intersection.intersect_pl - lines.data());
        intersection.intersect_pl = &lines[intersect_pl_idx];
        // After polylines are merged, it is necessary to update "forward" based on if intersect_point is the first or the last point of intersect_pl.
        if (intersection.fresh()) {
            assert(intersection.intersect_pl->points.front() == intersection.intersect_point ||
                   intersection.intersect_pl->points.back() == intersection.intersect_point);
            intersection.front = intersection.intersect_pl->points.front() == intersection.intersect_point;
        }
    };
 
    // Merge polylines touching at their ends. This should be a very rare case, but it happens surprisingly often.
    for (auto it = lines_touching_at_endpoints.rbegin(); it != lines_touching_at_endpoints.rend(); ++ it) {
        Polyline *pl1 = const_cast<Polyline*>(it->first);
        Polyline *pl2 = const_cast<Polyline*>(it->second);
        assert(pl1 < pl2);
        // pl1 was visited for the 1st time.
        // pl2 may have alread been merged with another polyline, even with this one.
        pl2 = &lines[update_merged_polyline_idx(pl2 - lines.data())];
        assert(pl1 <= pl2);
        // Avoid closing a loop, ignore dropped infill lines.
        if (pl1 != pl2 && ! pl1->points.empty() && ! pl2->points.empty()) {
            // Merge the polylines.
            assert(pl1 < pl2);
            assert(pl1->points.size() >= 2);
            assert(pl2->points.size() >= 2);
            double d11 = (pl1->points.front() - pl2->points.front()).cast<double>().squaredNorm();
            double d12 = (pl1->points.front() - pl2->points.back()) .cast<double>().squaredNorm();
            double d21 = (pl1->points.back()  - pl2->points.front()).cast<double>().squaredNorm();
            double d22 = (pl1->points.back()  - pl2->points.back()) .cast<double>().squaredNorm();
            double d1min = std::min(d11, d12);
            double d2min = std::min(d21, d22);
            if (d1min < d2min) {
                pl1->reverse();
                if (d12 == d1min)
                    pl2->reverse();
            } else if (d22 == d2min)
                pl2->reverse();
            pl1->points.back() = (pl1->points.back() + pl2->points.front()) / 2;
            pl1->append(pl2->points.begin() + 1, pl2->points.end());
            pl2->points.clear();
            merged_with[pl2 - lines.data()] = pl1 - lines.data();
        }
    }
 
    // Keep intersect_line outside the loop, so it does not get reallocated.
    std::vector<std::pair<Intersection*, double>> intersect_line;
    for (size_t min_idx = 0; min_idx < intersections.size();) {
        intersect_line.clear();
        // All the nearest points (T-joints) ending at the same line are projected onto this line. Because of it, it can easily find the nearest point.
        {
            const Vec2d line_dir = intersections[min_idx].closest_line->vector().cast<double>();
            size_t max_idx = min_idx;
            for (; max_idx < intersections.size() && 
                    intersections[min_idx].closest_line == intersections[max_idx].closest_line &&
                    intersections[min_idx].left         == intersections[max_idx].left;
                    ++ max_idx)
                intersect_line.emplace_back(&intersections[max_idx], line_dir.dot(intersections[max_idx].intersect_point.cast<double>()));
            min_idx = max_idx;
            assert(intersect_line.size() > 0);
            // Sort the intersections along line_dir.
            std::sort(intersect_line.begin(), intersect_line.end(), [](const auto &i1, const auto &i2) { return i1.second < i2.second; });
        }
 
        if (intersect_line.size() == 1) {
            // Simple case: The current intersection is the only one touching its adjacent line.
            Intersection &first_i = *intersect_line.front().first;
            update_merged_polyline(first_i);
            if (first_i.fresh()) {
                // Try to connect left or right. If not enough space for hook_length, take the longer side.
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-add_hook0-pre-%d-%d.svg", iRun, iStep), { first_i.intersect_point });
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                add_hook(first_i, scaled_offset, hook_length, scaled_trim_distance, rtree, lines_src);
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-add_hook0-pre-%d-%d.svg", iRun, iStep), { first_i.intersect_point });
                ++ iStep;
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                first_i.used = true;
            }
            continue;
        }
 
        for (size_t first_idx = 0; first_idx < intersect_line.size(); ++ first_idx) {
            Intersection &first_i = *intersect_line[first_idx].first;
            update_merged_polyline(first_i);
            if (! first_i.fresh())
                // The intersection has been processed, or the polyline has been merged to another polyline.
                continue;
 
            // Get the previous or next intersection on the same line, pick the closer one.
            if (first_idx > 0)
                update_merged_polyline(*intersect_line[first_idx - 1].first);
            if (first_idx + 1 < intersect_line.size())
                update_merged_polyline(*intersect_line[first_idx + 1].first);
            Intersection &nearest_i = *get_nearest_intersection(intersect_line, first_idx);
            assert(first_i.closest_line == nearest_i.closest_line);
            assert(first_i.intersect_line != nearest_i.intersect_line);
            assert(first_i.intersect_line != first_i.closest_line);
            assert(nearest_i.intersect_line != first_i.closest_line);
            // A line between two intersections points
            Line offset_line = create_offset_line(Line(first_i.intersect_point, nearest_i.intersect_point), first_i, scaled_offset);
            // Check if both intersections lie on the offset_line and simultaneously get their points of intersecting.
            // These points are used as start and end of the hook
            Point first_i_point, nearest_i_point;
            bool could_connect = false;
            if (nearest_i.fresh()) {
                could_connect = first_i.intersect_line->intersection(offset_line, &first_i_point) &&
                                nearest_i.intersect_line->intersection(offset_line, &nearest_i_point);
                assert(could_connect);
            }
            Points &first_points  = first_i.intersect_pl->points;
            Points &second_points = nearest_i.intersect_pl->points;
            could_connect &= (nearest_i_point - first_i_point).cast<double>().squaredNorm() <= Slic3r::sqr(hook_length_max);
            if (could_connect) {
                // Both intersections are so close that their polylines can be connected.
                // Verify that no other infill line intersects this anchor line.
                closest.clear();
                rtree.query(
                    bgi::intersects(mk_rtree_seg(first_i_point, nearest_i_point)) &&
                    bgi::satisfies([&first_i, &nearest_i, &lines_src](const auto &item) 
                        { return item.second != (long unsigned int)(first_i.intersect_line - lines_src.data())
                              && item.second != (long unsigned int)(nearest_i.intersect_line - lines_src.data()); }),
                    std::back_inserter(closest));
                could_connect = closest.empty();
#if 0
                // Avoid self intersections. Maybe it is better to trim the self intersection after the connection?
                if (could_connect && first_i.intersect_pl != nearest_i.intersect_pl) {
                    Line l(first_i_point, nearest_i_point);
                    could_connect = ! first_i.other_hook_intersects(l) && ! nearest_i.other_hook_intersects(l);
                }
#endif
            }
            bool connected = false;
            if (could_connect) {
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-connecting-pre-%d-%d.svg", iRun, iStep), { first_i.intersect_point, nearest_i.intersect_point });
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                // No other infill line intersects this anchor line. Extrude it as a whole.
                if (first_i.intersect_pl == nearest_i.intersect_pl) {
                    // Both intersections are on the same polyline, that means a loop is being closed.
                    assert(first_i.front != nearest_i.front);
                    if (! first_i.front)
                        std::swap(first_i_point, nearest_i_point);
                    first_points.front() = first_i_point;
                    first_points.back()  = nearest_i_point;
                    //FIXME trim the end of a closed loop a bit?
                    first_points.emplace(first_points.begin(), nearest_i_point);
                } else {
                    // Both intersections are on different polylines
                    Line  l(first_i_point, nearest_i_point);
                    l.translate((perp(first_i.closest_line->vector().cast<double>().normalized()) * (first_i.left ? scaled_trim_distance : - scaled_trim_distance)).cast<coord_t>());
                    Point pt_start, pt_end;
                    bool  trim_start = first_i  .intersect_pl->points.size() == 3 && first_i  .other_hook_intersects(l, pt_start);
                    bool  trim_end   = nearest_i.intersect_pl->points.size() == 3 && nearest_i.other_hook_intersects(l, pt_end);
                    first_points.reserve(first_points.size() + second_points.size());
                    if (first_i.front)
                        std::reverse(first_points.begin(), first_points.end());
                    if (trim_start)
                        first_points.front() = pt_start;
                    first_points.back() = first_i_point;
                    first_points.emplace_back(nearest_i_point);
                    if (nearest_i.front)
                        first_points.insert(first_points.end(), second_points.begin() + 1, second_points.end());
                    else
                        first_points.insert(first_points.end(), second_points.rbegin() + 1, second_points.rend());
                    if (trim_end)
                        first_points.back() = pt_end;
                    // Keep the polyline at the lower index slot.
                    if (first_i.intersect_pl < nearest_i.intersect_pl) {
                        second_points.clear();
                        merged_with[nearest_i.intersect_pl - lines.data()] = first_i.intersect_pl - lines.data();
                    } else {
                        second_points = std::move(first_points);
                        first_points.clear();
                        merged_with[first_i.intersect_pl - lines.data()] = nearest_i.intersect_pl - lines.data();
                    }
                }
                nearest_i.used = true;
                connected = true;
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-connecting-post-%d-%d.svg", iRun, iStep), { first_i.intersect_point, nearest_i.intersect_point });
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
            }
            if (! connected) {
                // Try to connect left or right. If not enough space for hook_length, take the longer side.
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-add_hook-pre-%d-%d.svg", iRun, iStep), { first_i.intersect_point });
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                add_hook(first_i, scaled_offset, hook_length, scaled_trim_distance, rtree, lines_src);
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
                export_infill_lines_to_svg(boundary, lines, debug_out_path("FillAdaptive-add_hook-post-%d-%d.svg", iRun, iStep), { first_i.intersect_point });
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
            }
#ifdef ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
            ++ iStep;
#endif // ADAPTIVE_CUBIC_INFILL_DEBUG_OUTPUT
            first_i.used = true;
        }
    }
 
    Polylines polylines_out;
    polylines_out.reserve(polylines_out.size() + std::count_if(lines.begin(), lines.end(), [](const Polyline &pl) { return !pl.empty(); }));
    for (Polyline &pl : lines)
        if (!pl.empty()) polylines_out.emplace_back(std::move(pl));
    return polylines_out;
}

References Slic3r::Line::a, add_hook(), Slic3r::Polyline::append(), Slic3r::Line::b, Slic3r::MultiPoint::clear(), Slic3r::FillAdaptive::Intersection::closest_line, Slic3r::ExPolygon::contour, cos(), create_offset_line(), Slic3r::debug_out_path(), Slic3r::line_alg::distance_to_squared(), Slic3r::Line::distance_to_squared(), Slic3r::MultiPoint::empty(), Slic3r::FillAdaptive::Intersection::fresh(), Slic3r::FillAdaptive::Intersection::front, Slic3r::MultiPoint::front(), get_nearest_intersection(), Slic3r::ExPolygon::holes, Slic3r::FillAdaptive::Intersection::intersect_line, Slic3r::FillAdaptive::Intersection::intersect_pl, Slic3r::FillAdaptive::Intersection::intersect_point, Slic3r::Line::intersection(), Slic3r::intersection(), Slic3r::l2(), Slic3r::FillAdaptive::Intersection::left, Slic3r::Polyline::length(), mk_rtree_point(), mk_rtree_seg(), Slic3r::FillAdaptive::Intersection::other_hook_intersects(), Slic3r::perp(), PI, Slic3r::MultiPoint::points, Slic3r::MultiPoint::reverse(), scale_, SCALED_EPSILON, Slic3r::MultiPoint::size(), Slic3r::sort_remove_duplicates(), Slic3r::sqr(), Slic3r::Line::translate(), Slic3r::FillAdaptive::Intersection::used, validate_intersection_t_joint(), validate_intersections(), and Slic3r::Line::vector().

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create_offset_line()

static Line Slic3r::FillAdaptive::create_offset_line ( Line  offset_line, const Intersection &  intersection, const double  scaled_offset  )

static

{
    offset_line.translate((perp(intersection.closest_line->vector().cast<double>().normalized()) * (intersection.left ? scaled_offset : - scaled_offset)).cast<coord_t>());
    // Extend the line by a small value to guarantee a collision with adjacent lines
    offset_line.extend(coord_t(scaled_offset * 1.16)); // / cos(PI/6)
    return offset_line;
}

References Slic3r::Line::extend(), Slic3r::intersection(), Slic3r::perp(), and Slic3r::Line::translate().

Referenced by add_hook(), and connect_lines_using_hooks().

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generate_infill_lines_recursive()

static void Slic3r::FillAdaptive::generate_infill_lines_recursive ( FillContext &  context, const Cube *  cube, int  address, int  depth  )

static

{
    assert(cube != nullptr);
 
    const std::vector<CubeProperties> &cubes_properties = context.cubes_properties;
    const double z_diff     = context.z_position - cube->center.z();
    const double z_diff_abs = std::abs(z_diff);
 
    if (z_diff_abs > cubes_properties[depth].height / 2.)
        return;
 
    if (z_diff_abs < cubes_properties[depth].line_z_distance) {
        // Discretize a single wall splitting the cube into two.
        const double zdist = cubes_properties[depth].line_z_distance;
        Vec2d from(
            0.5 * cubes_properties[depth].diagonal_length * (zdist - z_diff_abs) / zdist,
            cubes_properties[depth].line_xy_distance - (zdist + z_diff) / sqrt(2.));
        Vec2d to(-from.x(), from.y());
        from = context.rotate(from);
        to   = context.rotate(to);
        // Relative to cube center
        const Vec2d offset(cube->center.x(), cube->center.y());
        from += offset;
        to   += offset;
        // Verify that the traversal order of the octree children matches the line direction,
        // therefore the infill line may get extended with O(1) time & space complexity.
        assert(verify_traversal_order(context, cube, depth, from, to));
        // Either extend an existing line or start a new one.
        Line &last_line = context.temp_lines[address];
        Line  new_line(Point::new_scale(from), Point::new_scale(to));
        if (last_line.a.x() == std::numeric_limits<coord_t>::max()) {
            last_line.a = new_line.a;
        } else if ((new_line.a - last_line.b).cwiseAbs().maxCoeff() > 1000) { // SCALED_EPSILON is 100 and it is not enough
            context.output_lines.emplace_back(last_line);
            last_line.a = new_line.a;
        }
        last_line.b = new_line.b;
    }
 
    // left child index
    address = address * 2 + 1;
    -- depth;
    size_t i = 0;
    for (const int child_idx : context.traversal_order) {
        const Cube *child = cube->children[child_idx];
        if (child != nullptr)
            generate_infill_lines_recursive(context, child, address, depth);
        if (++ i == 4)
            // right child index
            ++ address;
    }
}

References Slic3r::Line::a, Slic3r::Line::b, cube(), Slic3r::FillAdaptive::FillContext::cubes_properties, generate_infill_lines_recursive(), Slic3r::offset(), Slic3r::FillAdaptive::FillContext::output_lines, Slic3r::FillAdaptive::FillContext::rotate(), sqrt(), Slic3r::FillAdaptive::FillContext::temp_lines, Slic3r::FillAdaptive::FillContext::traversal_order, verify_traversal_order(), and Slic3r::FillAdaptive::FillContext::z_position.

Referenced by Slic3r::FillAdaptive::Filler::_fill_surface_single(), and generate_infill_lines_recursive().

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get_nearest_intersection()

static Intersection * Slic3r::FillAdaptive::get_nearest_intersection ( std::vector< std::pair< Intersection *, double > > &  intersect_line, const size_t  first_idx  )

inlinestatic

{
    assert(intersect_line.size() >= 2);
    bool take_next = false;
    if (first_idx == 0)
        take_next = true;
    else if (first_idx + 1 == intersect_line.size())
        take_next = false;
    else {
        // Has both prev and next.
        const std::pair<Intersection*, double> &ithis = intersect_line[first_idx];
        const std::pair<Intersection*, double> &iprev = intersect_line[first_idx - 1];
        const std::pair<Intersection*, double> &inext = intersect_line[first_idx + 1];
        take_next = iprev.first->fresh() && inext.first->fresh() ?
            inext.second - ithis.second < ithis.second - iprev.second :
            inext.first->fresh();
    }
    return intersect_line[take_next ? first_idx + 1 : first_idx - 1].first;
}

Referenced by connect_lines_using_hooks().

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has_no_collinear_lines()

bool Slic3r::FillAdaptive::has_no_collinear_lines

(

const Polylines &

polylines

)

{
    // Create line end point lookup.
    struct LineEnd {
        LineEnd(const Polyline *line, bool start) : line(line), start(start) {}
        const Polyline *line;
        // Is it the start or end point?
        bool            start;
        const Point&    point() const { return start ? line->points.front() : line->points.back(); }
        const Point&    other_point() const { return start ? line->points.back() : line->points.front(); }
        LineEnd         other_end() const { return LineEnd(line, !start); }
        Vec2d           vec() const { return Vec2d((this->other_point() - this->point()).cast<double>()); }
        bool operator==(const LineEnd &rhs) const { return this->line == rhs.line && this->start == rhs.start; }
    };
    struct LineEndAccessor {
        const Point* operator()(const LineEnd &pt) const { return &pt.point(); }
    };
    typedef ClosestPointInRadiusLookup<LineEnd, LineEndAccessor> ClosestPointLookupType;
    ClosestPointLookupType closest_end_point_lookup(coord_t(1001. * sqrt(2.)));
    for (const Polyline& pl : polylines) {
//        assert(pl.points.size() == 2);
        auto line_start = LineEnd(&pl, true);
        auto line_end   = LineEnd(&pl, false);
 
        auto assert_not_collinear = [&closest_end_point_lookup](const LineEnd &line_start) {
            std::vector<std::pair<const LineEnd*, double>> hits = closest_end_point_lookup.find_all(line_start.point());
            for (const std::pair<const LineEnd*, double> &hit : hits)
                if ((line_start.point() - hit.first->point()).cwiseAbs().maxCoeff() <= 1000) {
                    // End points of the two lines are very close, they should have been merged together if they are collinear.
                    Vec2d v1 = line_start.vec();
                    Vec2d v2 = hit.first->vec();
                    Vec2d v1n = v1.normalized();
                    Vec2d v2n = v2.normalized();
                    // The vectors must not be collinear.
                    assert(std::abs(v1n.dot(v2n)) < cos(M_PI / 12.));
                }
        };
        assert_not_collinear(line_start);
        assert_not_collinear(line_end);
 
        closest_end_point_lookup.insert(line_start);
        closest_end_point_lookup.insert(line_end);
    }
 
    return true;
}

References cos(), M_PI, Slic3r::MultiPoint::points, and sqrt().

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is_overhang_triangle()

static bool Slic3r::FillAdaptive::is_overhang_triangle ( const Vec3d &  a, const Vec3d &  b, const Vec3d &  c, const Vec3d &  up  )

inlinestatic

{
    // Calculate triangle normal.
    auto n = (b - a).cross(c - b);
    return n.dot(up) > 0.707 * n.norm();
}

References is_overhang_triangle().

Referenced by build_octree(), and is_overhang_triangle().

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make_cubes_properties()

static std::vector< CubeProperties > Slic3r::FillAdaptive::make_cubes_properties ( double  max_cube_edge_length, double  line_spacing  )

static

{
    max_cube_edge_length += EPSILON;
 
    std::vector<CubeProperties> cubes_properties;
    for (double edge_length = line_spacing * 2.;; edge_length *= 2.)
    {
        CubeProperties props{};
        props.edge_length = edge_length;
        props.height = edge_length * sqrt(3);
        props.diagonal_length = edge_length * sqrt(2);
        props.line_z_distance = edge_length / sqrt(3);
        props.line_xy_distance = edge_length / sqrt(6);
        cubes_properties.emplace_back(props);
        if (edge_length > max_cube_edge_length)
            break;
    }
    return cubes_properties;
}

References Slic3r::FillAdaptive::CubeProperties::edge_length, EPSILON, make_cubes_properties(), and sqrt().

Referenced by build_octree(), and make_cubes_properties().

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mk_rtree_point()

static rtree_point_t Slic3r::FillAdaptive::mk_rtree_point ( const Point &  pt )

inlinestatic

                                                            {
    return rtree_point_t(float(pt.x()), float(pt.y()));
}

Referenced by connect_lines_using_hooks(), and mk_rtree_seg().

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mk_rtree_seg() [1/2]

static rtree_segment_t Slic3r::FillAdaptive::mk_rtree_seg ( const Line &  l )

inlinestatic

                                                          {
    return mk_rtree_seg(l.a, l.b);
}

References Slic3r::Line::a, Slic3r::Line::b, and mk_rtree_seg().

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mk_rtree_seg() [2/2]

static rtree_segment_t Slic3r::FillAdaptive::mk_rtree_seg ( const Point &  a, const Point &  b  )

inlinestatic

                                                                           {
    return { mk_rtree_point(a), mk_rtree_point(b) };
}

References mk_rtree_point().

Referenced by add_hook(), connect_lines_using_hooks(), and mk_rtree_seg().

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transform_center()

static void Slic3r::FillAdaptive::transform_center ( Cube *  current_cube, const Eigen::Matrix3d &  rot  )

static

{
#ifndef NDEBUG
    current_cube->center_octree = current_cube->center;
#endif // NDEBUG
    current_cube->center = rot * current_cube->center;
    for (auto *child : current_cube->children)
        if (child)
            transform_center(child, rot);
}

References Slic3r::FillAdaptive::Cube::center, Slic3r::FillAdaptive::Cube::center_octree, Slic3r::FillAdaptive::Cube::children, and transform_center().

Referenced by build_octree(), and transform_center().

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transform_to_octree()

Eigen::Quaterniond Slic3r::FillAdaptive::transform_to_octree

(

)

{
    return Eigen::AngleAxisd(- octree_rot[0], Vec3d::UnitX()) * Eigen::AngleAxisd(- octree_rot[1], Vec3d::UnitY()) * Eigen::AngleAxisd(- octree_rot[2], Vec3d::UnitZ());
}

References octree_rot.

Referenced by build_octree().

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transform_to_world()

Eigen::Quaterniond Slic3r::FillAdaptive::transform_to_world

(

)

{
    return Eigen::AngleAxisd(octree_rot[2], Vec3d::UnitZ()) * Eigen::AngleAxisd(octree_rot[1], Vec3d::UnitY()) * Eigen::AngleAxisd(octree_rot[0], Vec3d::UnitX());
}

References octree_rot.

Referenced by build_octree(), and verify_traversal_order().

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triangle_AABB_intersects()

template<typename Vector >

bool Slic3r::FillAdaptive::triangle_AABB_intersects	(	const Vector &	a,
		const Vector &	b,
		const Vector &	c,
		const BoundingBoxBase< Vector > &	aabb
	)

{
    using Scalar = typename Vector::Scalar;
 
    Vector tMin = a.cwiseMin(b.cwiseMin(c));
    Vector tMax = a.cwiseMax(b.cwiseMax(c));
 
    if (tMin.x() >= aabb.max.x() || tMax.x() <= aabb.min.x()
        || tMin.y() >= aabb.max.y() || tMax.y() <= aabb.min.y()
        || tMin.z() >= aabb.max.z() || tMax.z() <= aabb.min.z())
        return false;
 
    Vector center = (aabb.min + aabb.max) * 0.5f;
    Vector h = aabb.max - center;
 
    const Vector t[3] { b-a, c-a, c-b };
 
    Vector ac = a - center;
 
    Vector n = t[0].cross(t[1]);
    Scalar s = n.dot(ac);
    Scalar r = std::abs(h.dot(n.cwiseAbs()));
    if (abs(s) >= r)
        return false;
 
    const Vector at[3] = { t[0].cwiseAbs(), t[1].cwiseAbs(), t[2].cwiseAbs() };
 
    Vector bc = b - center;
    Vector cc = c - center;
 
    // SAT test all cross-axes.
    // The following is a fully unrolled loop of this code, stored here for reference:
    /*
    Scalar d1, d2, a1, a2;
    const Vector e[3] = { DIR_VEC(1, 0, 0), DIR_VEC(0, 1, 0), DIR_VEC(0, 0, 1) };
    for(int i = 0; i < 3; ++i)
        for(int j = 0; j < 3; ++j)
        {
            Vector axis = Cross(e[i], t[j]);
            ProjectToAxis(axis, d1, d2);
            aabb.ProjectToAxis(axis, a1, a2);
            if (d2 <= a1 || d1 >= a2) return false;
        }
    */
 
    // eX <cross> t[0]
    Scalar d1 = t[0].y() * ac.z() - t[0].z() * ac.y();
    Scalar d2 = t[0].y() * cc.z() - t[0].z() * cc.y();
    Scalar tc = (d1 + d2) * 0.5f;
    r = std::abs(h.y() * at[0].z() + h.z() * at[0].y());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eX <cross> t[1]
    d1 = t[1].y() * ac.z() - t[1].z() * ac.y();
    d2 = t[1].y() * bc.z() - t[1].z() * bc.y();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.y() * at[1].z() + h.z() * at[1].y());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eX <cross> t[2]
    d1 = t[2].y() * ac.z() - t[2].z() * ac.y();
    d2 = t[2].y() * bc.z() - t[2].z() * bc.y();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.y() * at[2].z() + h.z() * at[2].y());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eY <cross> t[0]
    d1 = t[0].z() * ac.x() - t[0].x() * ac.z();
    d2 = t[0].z() * cc.x() - t[0].x() * cc.z();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.x() * at[0].z() + h.z() * at[0].x());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eY <cross> t[1]
    d1 = t[1].z() * ac.x() - t[1].x() * ac.z();
    d2 = t[1].z() * bc.x() - t[1].x() * bc.z();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.x() * at[1].z() + h.z() * at[1].x());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eY <cross> t[2]
    d1 = t[2].z() * ac.x() - t[2].x() * ac.z();
    d2 = t[2].z() * bc.x() - t[2].x() * bc.z();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.x() * at[2].z() + h.z() * at[2].x());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eZ <cross> t[0]
    d1 = t[0].x() * ac.y() - t[0].y() * ac.x();
    d2 = t[0].x() * cc.y() - t[0].y() * cc.x();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.y() * at[0].x() + h.x() * at[0].y());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eZ <cross> t[1]
    d1 = t[1].x() * ac.y() - t[1].y() * ac.x();
    d2 = t[1].x() * bc.y() - t[1].y() * bc.x();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.y() * at[1].x() + h.x() * at[1].y());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // eZ <cross> t[2]
    d1 = t[2].x() * ac.y() - t[2].y() * ac.x();
    d2 = t[2].x() * bc.y() - t[2].y() * bc.x();
    tc = (d1 + d2) * 0.5f;
    r = std::abs(h.y() * at[2].x() + h.x() * at[2].y());
    if (r + std::abs(tc - d1) < std::abs(tc))
        return false;
 
    // No separating axis exists, the AABB and triangle intersect.
    return true;
}

References Slic3r::BoundingBoxBase< PointType, APointsType >::max, and Slic3r::BoundingBoxBase< PointType, APointsType >::min.

Referenced by Slic3r::FillAdaptive::Octree::insert_triangle().

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validate_intersection_t_joint()

bool Slic3r::FillAdaptive::validate_intersection_t_joint

(

const Intersection &

intersection

)

{
    const Vec2d  v = (intersection.closest_line->b - intersection.closest_line->a).cast<double>();
    const Vec2d  va = (intersection.intersect_point - intersection.closest_line->a).cast<double>();
    const double l2 = v.squaredNorm();  // avoid a sqrt
    assert(l2 > 0.);
    const double t = va.dot(v);
    assert(t > SCALED_EPSILON && t < l2 - SCALED_EPSILON);
    const double d = ((t / l2) * v - va).norm();
    assert(d < 1000.);
    return true;
}

References Slic3r::intersection(), Slic3r::l2(), and SCALED_EPSILON.

Referenced by connect_lines_using_hooks(), and validate_intersections().

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validate_intersections()

bool Slic3r::FillAdaptive::validate_intersections

(

const std::vector< Intersection > &

intersections

)

{
    for (const Intersection& intersection : intersections)
        assert(validate_intersection_t_joint(intersection));
    return true;
}

References Slic3r::intersection(), and validate_intersection_t_joint().

Referenced by connect_lines_using_hooks().

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verify_traversal_order()

static bool Slic3r::FillAdaptive::verify_traversal_order ( FillContext &  context, const Cube *  cube, int  depth, const Vec2d &  line_from, const Vec2d &  line_to  )

static

{
    std::array<Vec3d, 8> c;
    Eigen::Quaterniond to_world = transform_to_world();
    for (int i = 0; i < 8; ++i) {
        int j = context.traversal_order[i];
        Vec3d cntr = to_world * (cube->center_octree + (child_centers[j] * (context.cubes_properties[depth].edge_length / 4.)));
        assert(!cube->children[j] || cube->children[j]->center.isApprox(cntr));
        c[i] = cntr;
    }
    std::array<Vec3d, 10> dirs = {
        c[1] - c[0], c[2] - c[0], c[3] - c[1], c[3] - c[2], c[3] - c[0],
        c[5] - c[4], c[6] - c[4], c[7] - c[5], c[7] - c[6], c[7] - c[4]
    };
    assert(std::abs(dirs[4].z()) < 0.005);
    assert(std::abs(dirs[9].z()) < 0.005);
    assert(dirs[0].isApprox(dirs[3]));
    assert(dirs[1].isApprox(dirs[2]));
    assert(dirs[5].isApprox(dirs[8]));
    assert(dirs[6].isApprox(dirs[7]));
    Vec3d line_dir = Vec3d(line_to.x() - line_from.x(), line_to.y() - line_from.y(), 0.).normalized();
    for (auto& dir : dirs) {
        double d = dir.normalized().dot(line_dir);
        assert(d > 0.7);
    }
    return true;
}

References child_centers, cube(), Slic3r::FillAdaptive::FillContext::cubes_properties, transform_to_world(), and Slic3r::FillAdaptive::FillContext::traversal_order.

Referenced by generate_infill_lines_recursive().

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Variable Documentation

child_centers

const std::array<Vec3d, 8> Slic3r::FillAdaptive::child_centers

static

Initial value:

{
    Vec3d(-1, -1, -1), Vec3d( 1, -1, -1), Vec3d(-1,  1, -1), Vec3d( 1,  1, -1),
    Vec3d(-1, -1,  1), Vec3d( 1, -1,  1), Vec3d(-1,  1,  1), Vec3d( 1,  1,  1)
}

Referenced by Slic3r::FillAdaptive::Octree::insert_triangle(), and verify_traversal_order().

child_traversal_order

constexpr std::array<std::array<int, 8>, 3> Slic3r::FillAdaptive::child_traversal_order

staticconstexpr

Initial value:

{
    std::array<int, 8>{ 2, 3, 0, 1, 6, 7, 4, 5 },
    std::array<int, 8>{ 4, 0, 6, 2, 5, 1, 7, 3 },
    std::array<int, 8>{ 1, 5, 0, 4, 3, 7, 2, 6 },
}

octree_rot

constexpr double Slic3r::FillAdaptive::octree_rot[3] = { 5.0 * M_PI / 4.0, Geometry::deg2rad(215.264), M_PI / 6.0 }

staticconstexpr

Referenced by transform_to_octree(), and transform_to_world().