mirror of
https://github.com/SoftFever/OrcaSlicer.git
synced 2025-10-30 20:21:12 -06:00
660 lines
22 KiB
C++
660 lines
22 KiB
C++
#include "BoundingBox.hpp"
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#include "ExPolygon.hpp"
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#include "Geometry.hpp"
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#include "Polygon.hpp"
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#include "Line.hpp"
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#include "ClipperUtils.hpp"
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#include "SVG.hpp"
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#include "polypartition.h"
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#include "poly2tri/poly2tri.h"
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#include <algorithm>
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#include <cassert>
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#include <list>
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namespace Slic3r {
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ExPolygon::operator Points() const
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{
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Points points;
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Polygons pp = *this;
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for (Polygons::const_iterator poly = pp.begin(); poly != pp.end(); ++poly) {
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for (Points::const_iterator point = poly->points.begin(); point != poly->points.end(); ++point)
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points.push_back(*point);
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}
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return points;
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}
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ExPolygon::operator Polygons() const
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{
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return to_polygons(*this);
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}
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ExPolygon::operator Polylines() const
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{
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return to_polylines(*this);
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}
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void ExPolygon::scale(double factor)
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{
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contour.scale(factor);
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for (Polygon &hole : holes)
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hole.scale(factor);
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}
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void ExPolygon::translate(double x, double y)
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{
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contour.translate(x, y);
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for (Polygon &hole : holes)
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hole.translate(x, y);
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}
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void ExPolygon::rotate(double angle)
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{
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contour.rotate(angle);
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for (Polygon &hole : holes)
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hole.rotate(angle);
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}
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void ExPolygon::rotate(double angle, const Point ¢er)
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{
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contour.rotate(angle, center);
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for (Polygon &hole : holes)
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hole.rotate(angle, center);
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}
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double ExPolygon::area() const
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{
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double a = this->contour.area();
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for (const Polygon &hole : holes)
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a -= - hole.area(); // holes have negative area
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return a;
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}
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bool ExPolygon::is_valid() const
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{
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if (!this->contour.is_valid() || !this->contour.is_counter_clockwise()) return false;
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for (Polygons::const_iterator it = this->holes.begin(); it != this->holes.end(); ++it) {
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if (!(*it).is_valid() || (*it).is_counter_clockwise()) return false;
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}
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return true;
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}
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bool ExPolygon::contains(const Line &line) const
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{
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return this->contains(Polyline(line.a, line.b));
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}
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bool ExPolygon::contains(const Polyline &polyline) const
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{
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return diff_pl((Polylines)polyline, *this).empty();
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}
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bool ExPolygon::contains(const Polylines &polylines) const
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{
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#if 0
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BoundingBox bbox = get_extents(polylines);
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bbox.merge(get_extents(*this));
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SVG svg(debug_out_path("ExPolygon_contains.svg"), bbox);
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svg.draw(*this);
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svg.draw_outline(*this);
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svg.draw(polylines, "blue");
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#endif
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Polylines pl_out = diff_pl(polylines, *this);
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#if 0
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svg.draw(pl_out, "red");
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#endif
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return pl_out.empty();
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}
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bool ExPolygon::contains(const Point &point) const
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{
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if (!this->contour.contains(point)) return false;
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for (Polygons::const_iterator it = this->holes.begin(); it != this->holes.end(); ++it) {
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if (it->contains(point)) return false;
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}
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return true;
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}
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// inclusive version of contains() that also checks whether point is on boundaries
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bool ExPolygon::contains_b(const Point &point) const
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{
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return this->contains(point) || this->has_boundary_point(point);
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}
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bool
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ExPolygon::has_boundary_point(const Point &point) const
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{
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if (this->contour.has_boundary_point(point)) return true;
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for (Polygons::const_iterator h = this->holes.begin(); h != this->holes.end(); ++h) {
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if (h->has_boundary_point(point)) return true;
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}
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return false;
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}
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bool
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ExPolygon::overlaps(const ExPolygon &other) const
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{
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#if 0
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BoundingBox bbox = get_extents(other);
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bbox.merge(get_extents(*this));
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static int iRun = 0;
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SVG svg(debug_out_path("ExPolygon_overlaps-%d.svg", iRun ++), bbox);
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svg.draw(*this);
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svg.draw_outline(*this);
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svg.draw_outline(other, "blue");
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#endif
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Polylines pl_out = intersection_pl((Polylines)other, *this);
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#if 0
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svg.draw(pl_out, "red");
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#endif
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if (! pl_out.empty())
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return true;
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return ! other.contour.points.empty() && this->contains_b(other.contour.points.front());
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}
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void ExPolygon::simplify_p(double tolerance, Polygons* polygons) const
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{
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Polygons pp = this->simplify_p(tolerance);
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polygons->insert(polygons->end(), pp.begin(), pp.end());
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}
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Polygons ExPolygon::simplify_p(double tolerance) const
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{
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Polygons pp;
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pp.reserve(this->holes.size() + 1);
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// contour
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{
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Polygon p = this->contour;
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p.points.push_back(p.points.front());
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p.points = MultiPoint::_douglas_peucker(p.points, tolerance);
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p.points.pop_back();
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pp.emplace_back(std::move(p));
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}
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// holes
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for (Polygon p : this->holes) {
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p.points.push_back(p.points.front());
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p.points = MultiPoint::_douglas_peucker(p.points, tolerance);
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p.points.pop_back();
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pp.emplace_back(std::move(p));
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}
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return simplify_polygons(pp);
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}
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ExPolygons ExPolygon::simplify(double tolerance) const
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{
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return union_ex(this->simplify_p(tolerance));
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}
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void ExPolygon::simplify(double tolerance, ExPolygons* expolygons) const
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{
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append(*expolygons, this->simplify(tolerance));
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}
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void
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ExPolygon::medial_axis(double max_width, double min_width, ThickPolylines* polylines) const
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{
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// init helper object
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Slic3r::Geometry::MedialAxis ma(max_width, min_width, this);
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ma.lines = this->lines();
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// compute the Voronoi diagram and extract medial axis polylines
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ThickPolylines pp;
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ma.build(&pp);
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/*
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SVG svg("medial_axis.svg");
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svg.draw(*this);
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svg.draw(pp);
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svg.Close();
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*/
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/* Find the maximum width returned; we're going to use this for validating and
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filtering the output segments. */
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double max_w = 0;
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for (ThickPolylines::const_iterator it = pp.begin(); it != pp.end(); ++it)
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max_w = fmaxf(max_w, *std::max_element(it->width.begin(), it->width.end()));
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/* Loop through all returned polylines in order to extend their endpoints to the
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expolygon boundaries */
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bool removed = false;
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for (size_t i = 0; i < pp.size(); ++i) {
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ThickPolyline& polyline = pp[i];
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// extend initial and final segments of each polyline if they're actual endpoints
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/* We assign new endpoints to temporary variables because in case of a single-line
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polyline, after we extend the start point it will be caught by the intersection()
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call, so we keep the inner point until we perform the second intersection() as well */
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Point new_front = polyline.points.front();
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Point new_back = polyline.points.back();
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if (polyline.endpoints.first && !this->has_boundary_point(new_front)) {
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Vec2d p1 = polyline.points.front().cast<double>();
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Vec2d p2 = polyline.points[1].cast<double>();
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// prevent the line from touching on the other side, otherwise intersection() might return that solution
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if (polyline.points.size() == 2)
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p2 = (p1 + p2) * 0.5;
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// Extend the start of the segment.
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p1 -= (p2 - p1).normalized() * max_width;
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this->contour.intersection(Line(p1.cast<coord_t>(), p2.cast<coord_t>()), &new_front);
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}
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if (polyline.endpoints.second && !this->has_boundary_point(new_back)) {
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Vec2d p1 = (polyline.points.end() - 2)->cast<double>();
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Vec2d p2 = polyline.points.back().cast<double>();
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// prevent the line from touching on the other side, otherwise intersection() might return that solution
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if (polyline.points.size() == 2)
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p1 = (p1 + p2) * 0.5;
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// Extend the start of the segment.
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p2 += (p2 - p1).normalized() * max_width;
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this->contour.intersection(Line(p1.cast<coord_t>(), p2.cast<coord_t>()), &new_back);
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}
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polyline.points.front() = new_front;
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polyline.points.back() = new_back;
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/* remove too short polylines
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(we can't do this check before endpoints extension and clipping because we don't
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know how long will the endpoints be extended since it depends on polygon thickness
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which is variable - extension will be <= max_width/2 on each side) */
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if ((polyline.endpoints.first || polyline.endpoints.second)
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&& polyline.length() < max_w*2) {
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pp.erase(pp.begin() + i);
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--i;
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removed = true;
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continue;
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}
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}
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/* If we removed any short polylines we now try to connect consecutive polylines
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in order to allow loop detection. Note that this algorithm is greedier than
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MedialAxis::process_edge_neighbors() as it will connect random pairs of
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polylines even when more than two start from the same point. This has no
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drawbacks since we optimize later using nearest-neighbor which would do the
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same, but should we use a more sophisticated optimization algorithm we should
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not connect polylines when more than two meet. */
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if (removed) {
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for (size_t i = 0; i < pp.size(); ++i) {
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ThickPolyline& polyline = pp[i];
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if (polyline.endpoints.first && polyline.endpoints.second) continue; // optimization
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// find another polyline starting here
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for (size_t j = i+1; j < pp.size(); ++j) {
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ThickPolyline& other = pp[j];
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if (polyline.last_point() == other.last_point()) {
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other.reverse();
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} else if (polyline.first_point() == other.last_point()) {
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polyline.reverse();
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other.reverse();
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} else if (polyline.first_point() == other.first_point()) {
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polyline.reverse();
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} else if (polyline.last_point() != other.first_point()) {
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continue;
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}
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polyline.points.insert(polyline.points.end(), other.points.begin() + 1, other.points.end());
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polyline.width.insert(polyline.width.end(), other.width.begin(), other.width.end());
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polyline.endpoints.second = other.endpoints.second;
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assert(polyline.width.size() == polyline.points.size()*2 - 2);
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pp.erase(pp.begin() + j);
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j = i; // restart search from i+1
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}
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}
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}
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polylines->insert(polylines->end(), pp.begin(), pp.end());
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}
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void
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ExPolygon::medial_axis(double max_width, double min_width, Polylines* polylines) const
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{
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ThickPolylines tp;
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this->medial_axis(max_width, min_width, &tp);
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polylines->insert(polylines->end(), tp.begin(), tp.end());
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}
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/*
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void ExPolygon::get_trapezoids(Polygons* polygons) const
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{
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ExPolygons expp;
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expp.push_back(*this);
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boost::polygon::get_trapezoids(*polygons, expp);
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}
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void ExPolygon::get_trapezoids(Polygons* polygons, double angle) const
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{
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ExPolygon clone = *this;
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clone.rotate(PI/2 - angle, Point(0,0));
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clone.get_trapezoids(polygons);
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for (Polygons::iterator polygon = polygons->begin(); polygon != polygons->end(); ++polygon)
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polygon->rotate(-(PI/2 - angle), Point(0,0));
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}
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*/
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// This algorithm may return more trapezoids than necessary
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// (i.e. it may break a single trapezoid in several because
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// other parts of the object have x coordinates in the middle)
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void ExPolygon::get_trapezoids2(Polygons* polygons) const
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{
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// get all points of this ExPolygon
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Points pp = *this;
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// build our bounding box
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BoundingBox bb(pp);
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// get all x coordinates
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std::vector<coord_t> xx;
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xx.reserve(pp.size());
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for (Points::const_iterator p = pp.begin(); p != pp.end(); ++p)
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xx.push_back(p->x());
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std::sort(xx.begin(), xx.end());
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// find trapezoids by looping from first to next-to-last coordinate
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for (std::vector<coord_t>::const_iterator x = xx.begin(); x != xx.end()-1; ++x) {
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coord_t next_x = *(x + 1);
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if (*x == next_x) continue;
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// build rectangle
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Polygon poly;
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poly.points.resize(4);
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poly[0](0) = *x;
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poly[0](1) = bb.min(1);
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poly[1](0) = next_x;
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poly[1](1) = bb.min(1);
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poly[2](0) = next_x;
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poly[2](1) = bb.max(1);
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poly[3](0) = *x;
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poly[3](1) = bb.max(1);
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// intersect with this expolygon
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// append results to return value
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polygons_append(*polygons, intersection(poly, to_polygons(*this)));
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}
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}
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void ExPolygon::get_trapezoids2(Polygons* polygons, double angle) const
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{
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ExPolygon clone = *this;
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clone.rotate(PI/2 - angle, Point(0,0));
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clone.get_trapezoids2(polygons);
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for (Polygons::iterator polygon = polygons->begin(); polygon != polygons->end(); ++polygon)
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polygon->rotate(-(PI/2 - angle), Point(0,0));
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}
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// While this triangulates successfully, it's NOT a constrained triangulation
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// as it will create more vertices on the boundaries than the ones supplied.
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void ExPolygon::triangulate(Polygons* polygons) const
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{
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// first make trapezoids
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Polygons trapezoids;
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this->get_trapezoids2(&trapezoids);
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// then triangulate each trapezoid
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for (Polygons::iterator polygon = trapezoids.begin(); polygon != trapezoids.end(); ++polygon)
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polygon->triangulate_convex(polygons);
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}
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/*
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void ExPolygon::triangulate_pp(Polygons* polygons) const
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{
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// convert polygons
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std::list<TPPLPoly> input;
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ExPolygons expp = union_ex(simplify_polygons(to_polygons(*this), true));
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for (ExPolygons::const_iterator ex = expp.begin(); ex != expp.end(); ++ex) {
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// contour
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{
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TPPLPoly p;
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p.Init(int(ex->contour.points.size()));
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//printf(PRINTF_ZU "\n0\n", ex->contour.points.size());
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for (const Point &point : ex->contour.points) {
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size_t i = &point - &ex->contour.points.front();
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p[i].x = point(0);
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p[i].y = point(1);
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//printf("%ld %ld\n", point->x(), point->y());
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}
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p.SetHole(false);
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input.push_back(p);
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}
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// holes
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for (Polygons::const_iterator hole = ex->holes.begin(); hole != ex->holes.end(); ++hole) {
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TPPLPoly p;
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p.Init(hole->points.size());
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//printf(PRINTF_ZU "\n1\n", hole->points.size());
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for (const Point &point : hole->points) {
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size_t i = &point - &hole->points.front();
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p[i].x = point(0);
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p[i].y = point(1);
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//printf("%ld %ld\n", point->x(), point->y());
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}
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p.SetHole(true);
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input.push_back(p);
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}
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}
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// perform triangulation
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std::list<TPPLPoly> output;
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int res = TPPLPartition().Triangulate_MONO(&input, &output);
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if (res != 1)
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throw std::runtime_error("Triangulation failed");
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// convert output polygons
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for (std::list<TPPLPoly>::iterator poly = output.begin(); poly != output.end(); ++poly) {
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long num_points = poly->GetNumPoints();
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Polygon p;
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p.points.resize(num_points);
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for (long i = 0; i < num_points; ++i) {
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p.points[i](0) = coord_t((*poly)[i].x);
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p.points[i](1) = coord_t((*poly)[i].y);
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}
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polygons->push_back(p);
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}
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}
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*/
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std::list<TPPLPoly> expoly_to_polypartition_input(const ExPolygon &ex)
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{
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std::list<TPPLPoly> input;
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// contour
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{
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input.emplace_back();
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TPPLPoly &p = input.back();
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p.Init(int(ex.contour.points.size()));
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for (const Point &point : ex.contour.points) {
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size_t i = &point - &ex.contour.points.front();
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p[i].x = point(0);
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p[i].y = point(1);
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}
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p.SetHole(false);
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}
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// holes
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for (const Polygon &hole : ex.holes) {
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input.emplace_back();
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TPPLPoly &p = input.back();
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p.Init(hole.points.size());
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for (const Point &point : hole.points) {
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size_t i = &point - &hole.points.front();
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p[i].x = point(0);
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p[i].y = point(1);
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}
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p.SetHole(true);
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}
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return input;
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}
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std::list<TPPLPoly> expoly_to_polypartition_input(const ExPolygons &expps)
|
|
{
|
|
std::list<TPPLPoly> input;
|
|
for (const ExPolygon &ex : expps) {
|
|
// contour
|
|
{
|
|
input.emplace_back();
|
|
TPPLPoly &p = input.back();
|
|
p.Init(int(ex.contour.points.size()));
|
|
for (const Point &point : ex.contour.points) {
|
|
size_t i = &point - &ex.contour.points.front();
|
|
p[i].x = point(0);
|
|
p[i].y = point(1);
|
|
}
|
|
p.SetHole(false);
|
|
}
|
|
// holes
|
|
for (const Polygon &hole : ex.holes) {
|
|
input.emplace_back();
|
|
TPPLPoly &p = input.back();
|
|
p.Init(hole.points.size());
|
|
for (const Point &point : hole.points) {
|
|
size_t i = &point - &hole.points.front();
|
|
p[i].x = point(0);
|
|
p[i].y = point(1);
|
|
}
|
|
p.SetHole(true);
|
|
}
|
|
}
|
|
return input;
|
|
}
|
|
|
|
std::vector<Point> polypartition_output_to_triangles(const std::list<TPPLPoly> &output)
|
|
{
|
|
size_t num_triangles = 0;
|
|
for (const TPPLPoly &poly : output)
|
|
if (poly.GetNumPoints() >= 3)
|
|
num_triangles += (size_t)poly.GetNumPoints() - 2;
|
|
std::vector<Point> triangles;
|
|
triangles.reserve(triangles.size() + num_triangles * 3);
|
|
for (const TPPLPoly &poly : output) {
|
|
long num_points = poly.GetNumPoints();
|
|
if (num_points >= 3) {
|
|
const TPPLPoint *pt0 = &poly[0];
|
|
const TPPLPoint *pt1 = nullptr;
|
|
const TPPLPoint *pt2 = &poly[1];
|
|
for (long i = 2; i < num_points; ++ i) {
|
|
pt1 = pt2;
|
|
pt2 = &poly[i];
|
|
triangles.emplace_back(coord_t(pt0->x), coord_t(pt0->y));
|
|
triangles.emplace_back(coord_t(pt1->x), coord_t(pt1->y));
|
|
triangles.emplace_back(coord_t(pt2->x), coord_t(pt2->y));
|
|
}
|
|
}
|
|
}
|
|
return triangles;
|
|
}
|
|
|
|
void ExPolygon::triangulate_pp(Points *triangles) const
|
|
{
|
|
ExPolygons expp = union_ex(simplify_polygons(to_polygons(*this), true));
|
|
std::list<TPPLPoly> input = expoly_to_polypartition_input(expp);
|
|
// perform triangulation
|
|
std::list<TPPLPoly> output;
|
|
int res = TPPLPartition().Triangulate_MONO(&input, &output);
|
|
// int TPPLPartition::Triangulate_EC(TPPLPolyList *inpolys, TPPLPolyList *triangles) {
|
|
if (res != 1)
|
|
throw std::runtime_error("Triangulation failed");
|
|
*triangles = polypartition_output_to_triangles(output);
|
|
}
|
|
|
|
// Uses the Poly2tri library maintained by Jan Niklas Hasse @jhasse // https://github.com/jhasse/poly2tri
|
|
// See https://github.com/jhasse/poly2tri/blob/master/README.md for the limitations of the library!
|
|
// No duplicate points are allowed, no very close points, holes must not touch outer contour etc.
|
|
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<p2t::Point*> ContourPoints;
|
|
for (const Point &pt : ex->contour.points)
|
|
// We should delete each p2t::Point object
|
|
ContourPoints.push_back(new p2t::Point(pt(0), pt(1)));
|
|
p2t::CDT cdt(ContourPoints);
|
|
|
|
// holes
|
|
for (Polygons::const_iterator hole = ex->holes.begin(); hole != ex->holes.end(); ++hole) {
|
|
std::vector<p2t::Point*> points;
|
|
for (const Point &pt : hole->points)
|
|
// will be destructed in SweepContext::~SweepContext
|
|
points.push_back(new p2t::Point(pt(0), pt(1)));
|
|
cdt.AddHole(points);
|
|
}
|
|
|
|
// perform triangulation
|
|
try {
|
|
cdt.Triangulate();
|
|
std::vector<p2t::Triangle*> triangles = cdt.GetTriangles();
|
|
|
|
for (std::vector<p2t::Triangle*>::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);
|
|
}
|
|
} catch (const std::runtime_error & /* err */) {
|
|
assert(false);
|
|
// just ignore, don't triangulate
|
|
}
|
|
|
|
for (p2t::Point *ptr : ContourPoints)
|
|
delete ptr;
|
|
}
|
|
}
|
|
|
|
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;
|
|
}
|
|
|
|
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<BoundingBox> get_extents_vector(const ExPolygons &polygons)
|
|
{
|
|
std::vector<BoundingBox> 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
|