#include "BoundingBox.hpp" #include "ExPolygon.hpp" #include "Geometry.hpp" #include "Polygon.hpp" #include "Line.hpp" #include "ClipperUtils.hpp" #include "SVG.hpp" #include "polypartition.h" #include "poly2tri/poly2tri.h" #include #include #include namespace Slic3r { ExPolygon::operator Points() const { Points points; Polygons pp = *this; for (Polygons::const_iterator poly = pp.begin(); poly != pp.end(); ++poly) { for (Points::const_iterator point = poly->points.begin(); point != poly->points.end(); ++point) points.push_back(*point); } return points; } ExPolygon::operator Polygons() const { return to_polygons(*this); } ExPolygon::operator Polylines() const { return to_polylines(*this); } void ExPolygon::scale(double factor) { contour.scale(factor); for (Polygons::iterator it = holes.begin(); it != holes.end(); ++it) { (*it).scale(factor); } } void ExPolygon::translate(double x, double y) { contour.translate(x, y); for (Polygons::iterator it = holes.begin(); it != holes.end(); ++it) { (*it).translate(x, y); } } void ExPolygon::rotate(double angle) { contour.rotate(angle); for (Polygons::iterator it = holes.begin(); it != holes.end(); ++it) { (*it).rotate(angle); } } void ExPolygon::rotate(double angle, const Point ¢er) { contour.rotate(angle, center); for (Polygons::iterator it = holes.begin(); it != holes.end(); ++it) { (*it).rotate(angle, center); } } double ExPolygon::area() const { double a = this->contour.area(); for (Polygons::const_iterator it = this->holes.begin(); it != this->holes.end(); ++it) { a -= -(*it).area(); // holes have negative area } return a; } bool ExPolygon::is_valid() const { if (!this->contour.is_valid() || !this->contour.is_counter_clockwise()) return false; for (Polygons::const_iterator it = this->holes.begin(); it != this->holes.end(); ++it) { if (!(*it).is_valid() || (*it).is_counter_clockwise()) return false; } return true; } bool ExPolygon::contains(const Line &line) const { return this->contains((Polyline)line); } bool ExPolygon::contains(const Polyline &polyline) const { return diff_pl((Polylines)polyline, *this).empty(); } bool ExPolygon::contains(const Polylines &polylines) const { #if 0 BoundingBox bbox = get_extents(polylines); bbox.merge(get_extents(*this)); SVG svg(debug_out_path("ExPolygon_contains.svg"), bbox); svg.draw(*this); svg.draw_outline(*this); svg.draw(polylines, "blue"); #endif Polylines pl_out = diff_pl(polylines, *this); #if 0 svg.draw(pl_out, "red"); #endif return pl_out.empty(); } bool ExPolygon::contains(const Point &point) const { if (!this->contour.contains(point)) return false; for (Polygons::const_iterator it = this->holes.begin(); it != this->holes.end(); ++it) { if (it->contains(point)) return false; } return true; } // inclusive version of contains() that also checks whether point is on boundaries bool ExPolygon::contains_b(const Point &point) const { return this->contains(point) || this->has_boundary_point(point); } bool ExPolygon::has_boundary_point(const Point &point) const { if (this->contour.has_boundary_point(point)) return true; for (Polygons::const_iterator h = this->holes.begin(); h != this->holes.end(); ++h) { if (h->has_boundary_point(point)) return true; } return false; } bool ExPolygon::overlaps(const ExPolygon &other) const { #if 0 BoundingBox bbox = get_extents(other); bbox.merge(get_extents(*this)); static int iRun = 0; SVG svg(debug_out_path("ExPolygon_overlaps-%d.svg", iRun ++), bbox); svg.draw(*this); svg.draw_outline(*this); svg.draw_outline(other, "blue"); #endif Polylines pl_out = intersection_pl((Polylines)other, *this); #if 0 svg.draw(pl_out, "red"); #endif if (! pl_out.empty()) return true; return ! other.contour.points.empty() && this->contains_b(other.contour.points.front()); } void ExPolygon::simplify_p(double tolerance, Polygons* polygons) const { Polygons pp = this->simplify_p(tolerance); polygons->insert(polygons->end(), pp.begin(), pp.end()); } Polygons ExPolygon::simplify_p(double tolerance) const { Polygons pp; pp.reserve(this->holes.size() + 1); // contour { Polygon p = this->contour; p.points.push_back(p.points.front()); p.points = MultiPoint::_douglas_peucker(p.points, tolerance); p.points.pop_back(); pp.push_back(p); } // holes for (Polygons::const_iterator it = this->holes.begin(); it != this->holes.end(); ++it) { Polygon p = *it; p.points.push_back(p.points.front()); p.points = MultiPoint::_douglas_peucker(p.points, tolerance); p.points.pop_back(); pp.push_back(p); } pp = simplify_polygons(pp); return pp; } ExPolygons ExPolygon::simplify(double tolerance) const { Polygons pp = this->simplify_p(tolerance); return union_ex(pp); } void ExPolygon::simplify(double tolerance, ExPolygons* expolygons) const { ExPolygons ep = this->simplify(tolerance); expolygons->insert(expolygons->end(), ep.begin(), ep.end()); } void ExPolygon::medial_axis(double max_width, double min_width, ThickPolylines* polylines) const { // init helper object Slic3r::Geometry::MedialAxis ma(max_width, min_width, this); ma.lines = this->lines(); // compute the Voronoi diagram and extract medial axis polylines ThickPolylines pp; ma.build(&pp); /* SVG svg("medial_axis.svg"); svg.draw(*this); svg.draw(pp); svg.Close(); */ /* Find the maximum width returned; we're going to use this for validating and filtering the output segments. */ double max_w = 0; for (ThickPolylines::const_iterator it = pp.begin(); it != pp.end(); ++it) max_w = fmaxf(max_w, *std::max_element(it->width.begin(), it->width.end())); /* Loop through all returned polylines in order to extend their endpoints to the expolygon boundaries */ bool removed = false; for (size_t i = 0; i < pp.size(); ++i) { ThickPolyline& polyline = pp[i]; // extend initial and final segments of each polyline if they're actual endpoints /* We assign new endpoints to temporary variables because in case of a single-line polyline, after we extend the start point it will be caught by the intersection() call, so we keep the inner point until we perform the second intersection() as well */ Point new_front = polyline.points.front(); Point new_back = polyline.points.back(); if (polyline.endpoints.first && !this->has_boundary_point(new_front)) { Line line(polyline.points.front(), polyline.points[1]); // prevent the line from touching on the other side, otherwise intersection() might return that solution if (polyline.points.size() == 2) line.b = line.midpoint(); line.extend_start(max_width); (void)this->contour.intersection(line, &new_front); } if (polyline.endpoints.second && !this->has_boundary_point(new_back)) { Line line( *(polyline.points.end() - 2), polyline.points.back() ); // prevent the line from touching on the other side, otherwise intersection() might return that solution if (polyline.points.size() == 2) line.a = line.midpoint(); line.extend_end(max_width); (void)this->contour.intersection(line, &new_back); } polyline.points.front() = new_front; polyline.points.back() = new_back; /* remove too short polylines (we can't do this check before endpoints extension and clipping because we don't know how long will the endpoints be extended since it depends on polygon thickness which is variable - extension will be <= max_width/2 on each side) */ if ((polyline.endpoints.first || polyline.endpoints.second) && polyline.length() < max_w*2) { pp.erase(pp.begin() + i); --i; removed = true; continue; } } /* If we removed any short polylines we now try to connect consecutive polylines in order to allow loop detection. Note that this algorithm is greedier than MedialAxis::process_edge_neighbors() as it will connect random pairs of polylines even when more than two start from the same point. This has no drawbacks since we optimize later using nearest-neighbor which would do the same, but should we use a more sophisticated optimization algorithm we should not connect polylines when more than two meet. */ if (removed) { for (size_t i = 0; i < pp.size(); ++i) { ThickPolyline& polyline = pp[i]; if (polyline.endpoints.first && polyline.endpoints.second) continue; // optimization // find another polyline starting here for (size_t j = i+1; j < pp.size(); ++j) { ThickPolyline& other = pp[j]; if (polyline.last_point().coincides_with(other.last_point())) { other.reverse(); } else if (polyline.first_point().coincides_with(other.last_point())) { polyline.reverse(); other.reverse(); } else if (polyline.first_point().coincides_with(other.first_point())) { polyline.reverse(); } else if (!polyline.last_point().coincides_with(other.first_point())) { continue; } polyline.points.insert(polyline.points.end(), other.points.begin() + 1, other.points.end()); polyline.width.insert(polyline.width.end(), other.width.begin(), other.width.end()); polyline.endpoints.second = other.endpoints.second; assert(polyline.width.size() == polyline.points.size()*2 - 2); pp.erase(pp.begin() + j); j = i; // restart search from i+1 } } } polylines->insert(polylines->end(), pp.begin(), pp.end()); } void ExPolygon::medial_axis(double max_width, double min_width, Polylines* polylines) const { ThickPolylines tp; this->medial_axis(max_width, min_width, &tp); polylines->insert(polylines->end(), tp.begin(), tp.end()); } void ExPolygon::get_trapezoids(Polygons* polygons) const { ExPolygons expp; expp.push_back(*this); boost::polygon::get_trapezoids(*polygons, expp); } void ExPolygon::get_trapezoids(Polygons* polygons, double angle) const { ExPolygon clone = *this; clone.rotate(PI/2 - angle, Point(0,0)); clone.get_trapezoids(polygons); for (Polygons::iterator polygon = polygons->begin(); polygon != polygons->end(); ++polygon) polygon->rotate(-(PI/2 - angle), Point(0,0)); } // This algorithm may return more trapezoids than necessary // (i.e. it may break a single trapezoid in several because // other parts of the object have x coordinates in the middle) void ExPolygon::get_trapezoids2(Polygons* polygons) const { // get all points of this ExPolygon Points pp = *this; // build our bounding box BoundingBox bb(pp); // get all x coordinates std::vector xx; xx.reserve(pp.size()); for (Points::const_iterator p = pp.begin(); p != pp.end(); ++p) xx.push_back(p->x); std::sort(xx.begin(), xx.end()); // find trapezoids by looping from first to next-to-last coordinate for (std::vector::const_iterator x = xx.begin(); x != xx.end()-1; ++x) { coord_t next_x = *(x + 1); if (*x == next_x) continue; // build rectangle Polygon poly; poly.points.resize(4); poly[0].x = *x; poly[0].y = bb.min.y; poly[1].x = next_x; poly[1].y = bb.min.y; poly[2].x = next_x; poly[2].y = bb.max.y; poly[3].x = *x; poly[3].y = bb.max.y; // intersect with this expolygon // append results to return value polygons_append(*polygons, intersection(poly, to_polygons(*this))); } } void ExPolygon::get_trapezoids2(Polygons* polygons, double angle) const { ExPolygon clone = *this; clone.rotate(PI/2 - angle, Point(0,0)); clone.get_trapezoids2(polygons); for (Polygons::iterator polygon = polygons->begin(); polygon != polygons->end(); ++polygon) polygon->rotate(-(PI/2 - angle), Point(0,0)); } // While this triangulates successfully, it's NOT a constrained triangulation // as it will create more vertices on the boundaries than the ones supplied. void ExPolygon::triangulate(Polygons* polygons) const { // first make trapezoids Polygons trapezoids; this->get_trapezoids2(&trapezoids); // then triangulate each trapezoid for (Polygons::iterator polygon = trapezoids.begin(); polygon != trapezoids.end(); ++polygon) polygon->triangulate_convex(polygons); } void ExPolygon::triangulate_pp(Polygons* polygons) const { // convert polygons std::list input; ExPolygons expp = union_ex(simplify_polygons(to_polygons(*this), true)); for (ExPolygons::const_iterator ex = expp.begin(); ex != expp.end(); ++ex) { // contour { TPPLPoly p; p.Init(int(ex->contour.points.size())); //printf(PRINTF_ZU "\n0\n", ex->contour.points.size()); for (Points::const_iterator point = ex->contour.points.begin(); point != ex->contour.points.end(); ++point) { p[ point-ex->contour.points.begin() ].x = point->x; p[ point-ex->contour.points.begin() ].y = point->y; //printf("%ld %ld\n", point->x, point->y); } p.SetHole(false); input.push_back(p); } // holes for (Polygons::const_iterator hole = ex->holes.begin(); hole != ex->holes.end(); ++hole) { TPPLPoly p; p.Init(hole->points.size()); //printf(PRINTF_ZU "\n1\n", hole->points.size()); for (Points::const_iterator point = hole->points.begin(); point != hole->points.end(); ++point) { p[ point-hole->points.begin() ].x = point->x; p[ point-hole->points.begin() ].y = point->y; //printf("%ld %ld\n", point->x, point->y); } p.SetHole(true); input.push_back(p); } } // perform triangulation std::list output; int res = TPPLPartition().Triangulate_MONO(&input, &output); if (res != 1) CONFESS("Triangulation failed"); // convert output polygons for (std::list::iterator poly = output.begin(); poly != output.end(); ++poly) { long num_points = poly->GetNumPoints(); Polygon p; p.points.resize(num_points); for (long i = 0; i < num_points; ++i) { p.points[i].x = coord_t((*poly)[i].x); p.points[i].y = coord_t((*poly)[i].y); } polygons->push_back(p); } } void ExPolygon::triangulate_p2t(Polygons* polygons) const { ExPolygons expp = simplify_polygons_ex(*this, true); for (ExPolygons::const_iterator ex = expp.begin(); ex != expp.end(); ++ex) { // TODO: prevent duplicate points // contour std::vector ContourPoints; for (Points::const_iterator point = ex->contour.points.begin(); point != ex->contour.points.end(); ++point) { // We should delete each p2t::Point object ContourPoints.push_back(new p2t::Point(point->x, point->y)); } p2t::CDT cdt(ContourPoints); // holes for (Polygons::const_iterator hole = ex->holes.begin(); hole != ex->holes.end(); ++hole) { std::vector points; for (Points::const_iterator point = hole->points.begin(); point != hole->points.end(); ++point) { // will be destructed in SweepContext::~SweepContext points.push_back(new p2t::Point(point->x, point->y)); } cdt.AddHole(points); } // perform triangulation cdt.Triangulate(); std::vector triangles = cdt.GetTriangles(); for (std::vector::const_iterator triangle = triangles.begin(); triangle != triangles.end(); ++triangle) { Polygon p; for (int i = 0; i <= 2; ++i) { p2t::Point* point = (*triangle)->GetPoint(i); p.points.push_back(Point(point->x, point->y)); } polygons->push_back(p); } for(std::vector::iterator it = ContourPoints.begin(); it != ContourPoints.end(); ++it) { delete *it; } } } Lines ExPolygon::lines() const { Lines lines = this->contour.lines(); for (Polygons::const_iterator h = this->holes.begin(); h != this->holes.end(); ++h) { Lines hole_lines = h->lines(); lines.insert(lines.end(), hole_lines.begin(), hole_lines.end()); } return lines; } std::string ExPolygon::dump_perl() const { std::ostringstream ret; ret << "[" << this->contour.dump_perl(); for (Polygons::const_iterator h = this->holes.begin(); h != this->holes.end(); ++h) ret << "," << h->dump_perl(); ret << "]"; return ret.str(); } BoundingBox get_extents(const ExPolygon &expolygon) { return get_extents(expolygon.contour); } BoundingBox get_extents(const ExPolygons &expolygons) { BoundingBox bbox; if (! expolygons.empty()) { for (size_t i = 0; i < expolygons.size(); ++ i) if (! expolygons[i].contour.points.empty()) bbox.merge(get_extents(expolygons[i])); } return bbox; } BoundingBox get_extents_rotated(const ExPolygon &expolygon, double angle) { return get_extents_rotated(expolygon.contour, angle); } BoundingBox get_extents_rotated(const ExPolygons &expolygons, double angle) { BoundingBox bbox; if (! expolygons.empty()) { bbox = get_extents_rotated(expolygons.front().contour, angle); for (size_t i = 1; i < expolygons.size(); ++ i) bbox.merge(get_extents_rotated(expolygons[i].contour, angle)); } return bbox; } extern std::vector get_extents_vector(const ExPolygons &polygons) { std::vector out; out.reserve(polygons.size()); for (ExPolygons::const_iterator it = polygons.begin(); it != polygons.end(); ++ it) out.push_back(get_extents(*it)); return out; } bool remove_sticks(ExPolygon &poly) { return remove_sticks(poly.contour) || remove_sticks(poly.holes); } } // namespace Slic3r