#include "BoundingBox.hpp" #include "Polyline.hpp" #include "Exception.hpp" #include "ExPolygon.hpp" #include "ExPolygonCollection.hpp" #include "Line.hpp" #include "Polygon.hpp" #include #include namespace Slic3r { Polyline::operator Polylines() const { Polylines polylines; polylines.push_back(*this); return polylines; } Polyline::operator Line() const { if (this->points.size() > 2) throw Slic3r::InvalidArgument("Can't convert polyline with more than two points to a line"); return Line(this->points.front(), this->points.back()); } const Point& Polyline::leftmost_point() const { const Point *p = &this->points.front(); for (Points::const_iterator it = this->points.begin() + 1; it != this->points.end(); ++ it) { if (it->x() < p->x()) p = &(*it); } return *p; } Lines Polyline::lines() const { Lines lines; if (this->points.size() >= 2) { lines.reserve(this->points.size() - 1); for (Points::const_iterator it = this->points.begin(); it != this->points.end()-1; ++it) { lines.push_back(Line(*it, *(it + 1))); } } return lines; } // removes the given distance from the end of the polyline void Polyline::clip_end(double distance) { while (distance > 0) { Vec2d last_point = this->last_point().cast(); this->points.pop_back(); if (this->points.empty()) break; Vec2d v = this->last_point().cast() - last_point; double lsqr = v.squaredNorm(); if (lsqr > distance * distance) { this->points.emplace_back((last_point + v * (distance / sqrt(lsqr))).cast()); return; } distance -= sqrt(lsqr); } } // removes the given distance from the start of the polyline void Polyline::clip_start(double distance) { this->reverse(); this->clip_end(distance); if (this->points.size() >= 2) this->reverse(); } void Polyline::extend_end(double distance) { // relocate last point by extending the last segment by the specified length Vec2d v = (this->points.back() - *(this->points.end() - 2)).cast().normalized(); this->points.back() += (v * distance).cast(); } void Polyline::extend_start(double distance) { // relocate first point by extending the first segment by the specified length Vec2d v = (this->points.front() - this->points[1]).cast().normalized(); this->points.front() += (v * distance).cast(); } /* this method returns a collection of points picked on the polygon contour so that they are evenly spaced according to the input distance */ Points Polyline::equally_spaced_points(double distance) const { Points points; points.emplace_back(this->first_point()); double len = 0; for (Points::const_iterator it = this->points.begin() + 1; it != this->points.end(); ++it) { Vec2d p1 = (it-1)->cast(); Vec2d v = it->cast() - p1; double segment_length = v.norm(); len += segment_length; if (len < distance) continue; if (len == distance) { points.emplace_back(*it); len = 0; continue; } double take = segment_length - (len - distance); // how much we take of this segment points.emplace_back((p1 + v * (take / v.norm())).cast()); -- it; len = - take; } return points; } void Polyline::simplify(double tolerance) { this->points = MultiPoint::_douglas_peucker(this->points, tolerance); } /* This method simplifies all *lines* contained in the supplied area */ template void Polyline::simplify_by_visibility(const T &area) { Points &pp = this->points; size_t s = 0; bool did_erase = false; for (size_t i = s+2; i < pp.size(); i = s + 2) { if (area.contains(Line(pp[s], pp[i]))) { pp.erase(pp.begin() + s + 1, pp.begin() + i); did_erase = true; } else { ++s; } } if (did_erase) this->simplify_by_visibility(area); } template void Polyline::simplify_by_visibility(const ExPolygon &area); template void Polyline::simplify_by_visibility(const ExPolygonCollection &area); void Polyline::split_at(const Point &point, Polyline* p1, Polyline* p2) const { if (this->points.empty()) return; // find the line to split at size_t line_idx = 0; Point p = this->first_point(); double min = (p - point).cast().norm(); Lines lines = this->lines(); for (Lines::const_iterator line = lines.begin(); line != lines.end(); ++line) { Point p_tmp = point.projection_onto(*line); if ((p_tmp - point).cast().norm() < min) { p = p_tmp; min = (p - point).cast().norm(); line_idx = line - lines.begin(); } } // create first half p1->points.clear(); for (Lines::const_iterator line = lines.begin(); line != lines.begin() + line_idx + 1; ++line) if (line->a != p) p1->points.push_back(line->a); // we add point instead of p because they might differ because of numerical issues // and caller might want to rely on point belonging to result polylines p1->points.push_back(point); // create second half p2->points.clear(); p2->points.push_back(point); for (Lines::const_iterator line = lines.begin() + line_idx; line != lines.end(); ++line) { p2->points.push_back(line->b); } } bool Polyline::is_straight() const { // Check that each segment's direction is equal to the line connecting // first point and last point. (Checking each line against the previous // one would cause the error to accumulate.) double dir = Line(this->first_point(), this->last_point()).direction(); for (const auto &line: this->lines()) if (! line.parallel_to(dir)) return false; return true; } BoundingBox get_extents(const Polyline &polyline) { return polyline.bounding_box(); } BoundingBox get_extents(const Polylines &polylines) { BoundingBox bb; if (! polylines.empty()) { bb = polylines.front().bounding_box(); for (size_t i = 1; i < polylines.size(); ++ i) bb.merge(polylines[i]); } return bb; } const Point& leftmost_point(const Polylines &polylines) { if (polylines.empty()) throw Slic3r::InvalidArgument("leftmost_point() called on empty PolylineCollection"); Polylines::const_iterator it = polylines.begin(); const Point *p = &it->leftmost_point(); for (++ it; it != polylines.end(); ++it) { const Point *p2 = &it->leftmost_point(); if (p2->x() < p->x()) p = p2; } return *p; } bool remove_degenerate(Polylines &polylines) { bool modified = false; size_t j = 0; for (size_t i = 0; i < polylines.size(); ++ i) { if (polylines[i].points.size() >= 2) { if (j < i) std::swap(polylines[i].points, polylines[j].points); ++ j; } else modified = true; } if (j < polylines.size()) polylines.erase(polylines.begin() + j, polylines.end()); return modified; } ThickLines ThickPolyline::thicklines() const { ThickLines lines; if (this->points.size() >= 2) { lines.reserve(this->points.size() - 1); for (size_t i = 0; i + 1 < this->points.size(); ++ i) lines.emplace_back(this->points[i], this->points[i + 1], this->width[2 * i], this->width[2 * i + 1]); } return lines; } Lines3 Polyline3::lines() const { Lines3 lines; if (points.size() >= 2) { lines.reserve(points.size() - 1); for (Points3::const_iterator it = points.begin(); it != points.end() - 1; ++it) { lines.emplace_back(*it, *(it + 1)); } } return lines; } }