#include "BoundingBox.hpp" #include "Polyline.hpp" #include "Exception.hpp" #include "ExPolygon.hpp" #include "Line.hpp" #include "Polygon.hpp" #include #include namespace Slic3r { 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; } void Polyline::reverse() { //BBS: reverse points MultiPoint::reverse(); //BBS: reverse the fitting_result if (!this->fitting_result.empty()) { for (size_t i = 0; i < this->fitting_result.size(); i++) { std::swap(fitting_result[i].start_point_index, fitting_result[i].end_point_index); fitting_result[i].start_point_index = MultiPoint::size() - 1 - fitting_result[i].start_point_index; fitting_result[i].end_point_index = MultiPoint::size() - 1 - fitting_result[i].end_point_index; if (fitting_result[i].is_arc_move()) fitting_result[i].reverse_arc_path(); } std::reverse(this->fitting_result.begin(), this->fitting_result.end()); } } // removes the given distance from the end of the polyline void Polyline::clip_end(double distance) { bool last_point_inserted = false; size_t remove_after_index = MultiPoint::size(); while (distance > 0) { Vec2d last_point = this->last_point().cast(); this->points.pop_back(); remove_after_index--; if (this->points.empty()) { this->fitting_result.clear(); return; } 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()); last_point_inserted = true; break; } distance -= sqrt(lsqr); } //BBS: don't need to clip fitting result if it's empty if (fitting_result.empty()) return; while (!fitting_result.empty() && fitting_result.back().start_point_index >= remove_after_index) fitting_result.pop_back(); if (!fitting_result.empty()) { //BBS: last remaining segment is arc move, then clip the arc at last point if (fitting_result.back().path_type == EMovePathType::Arc_move_ccw || fitting_result.back().path_type == EMovePathType::Arc_move_cw) { if (fitting_result.back().arc_data.clip_end(this->last_point())) //BBS: succeed to clip arc, then update the last point this->points.back() = fitting_result.back().arc_data.end_point; else //BBS: Failed to clip arc, then back to linear move fitting_result.back().path_type = EMovePathType::Linear_move; } fitting_result.back().end_point_index = this->points.size() - 1; } } // 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) { //BBS: append a new last point by extending the last segment by the specified length Vec2d v = (this->points.back() - *(this->points.end() - 2)).cast().normalized(); Point new_last_point = this->points.back() + (v * distance).cast(); this->append(new_last_point); } void Polyline::extend_start(double distance) { this->reverse(); this->extend_end(distance); this->reverse(); } /* 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->fitting_result.clear(); } void Polyline::simplify_by_fitting_arc(double tolerance) { //BBS: do arc fit first, then use DP simplify to handle the straight part to reduce point. ArcFitter::do_arc_fitting_and_simplify(this->points, this->fitting_result, tolerance); } Polylines Polyline::equally_spaced_lines(double distance) const { Polylines lines; Polyline line; line.append(this->first_point()); double len = 0; for (Points::const_iterator it = this->points.begin() + 1; it != this->points.end(); ++it) { Vec2d p1 = line.points.back().cast(); Vec2d v = it->cast() - p1; double segment_length = v.norm(); len += segment_length; if (len < distance) continue; if (len == distance) { line.append(*it); lines.emplace_back(line); line.clear(); line.append(*it); len = 0; continue; } double take = distance; // how much we take of this segment line.append((p1 + v * (take / v.norm())).cast()); lines.emplace_back(line); line.clear(); line.append(lines.back().last_point()); --it; len = -take; } // add the last reminder if (line.size() == 1) { line.append(this->last_point()); if(line.first_point()!=line.last_point()) lines.emplace_back(line); } return lines; } #if 0 // 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); #endif void Polyline::split_at(Point &point, Polyline* p1, Polyline* p2) const { if (this->points.empty()) return; //0 judge whether the point is on the polyline int index = this->find_point(point); if (index != -1) { //BBS: the spilit point is on the polyline, then easy split_at_index(index, p1, p2); point = p1->is_valid()? p1->last_point(): p2->first_point(); return; } //1 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(); } } //2 judge whether the cloest point is one vertex of polyline. // and spilit the polyline at different index index = this->find_point(p); if (index != -1) { this->split_at_index(index, p1, p2); p1->append(point); p2->append_before(point); } else { Polyline temp; this->split_at_index(line_idx, p1, &temp); p1->append(point); this->split_at_index(line_idx + 1, &temp, p2); p2->append_before(point); } } bool Polyline::split_at_index(const size_t index, Polyline* p1, Polyline* p2) const { if (index > this->size() - 1) return false; if (index == 0) { p1->clear(); p1->append(this->first_point()); *p2 = *this; } else if (index == this->size() - 1) { p2->clear(); p2->append(this->last_point()); *p1 = *this; } else { //BBS: spilit first part p1->clear(); p1->points.reserve(index + 1); p1->points.insert(p1->begin(), this->begin(), this->begin() + index + 1); Point new_endpoint; if (this->split_fitting_result_before_index(index, new_endpoint, p1->fitting_result)) p1->points.back() = new_endpoint; p2->clear(); p2->points.reserve(this->size() - index); p2->points.insert(p2->begin(), this->begin() + index, this->end()); Point new_startpoint; if (this->split_fitting_result_after_index(index, new_startpoint, p2->fitting_result)) p2->points.front() = new_startpoint; } return true; } bool Polyline::split_at_length(const double length, Polyline *p1, Polyline *p2) const { if (this->points.empty()) return false; if (length < 0 || length > this->length()) { return false; } if (length < SCALED_EPSILON) { p1->clear(); p1->append(this->first_point()); *p2 = *this; } else if (is_approx(length, this->length(), SCALED_EPSILON)) { p2->clear(); p2->append(this->last_point()); *p1 = *this; } else { // 1 find the line to split at size_t line_idx = 0; double acc_length = 0; Point p = this->first_point(); for (const auto &l : this->lines()) { p = l.b; const double current_length = l.length(); if (acc_length + current_length >= length) { p = lerp(l.a, l.b, (length - acc_length) / current_length); break; } acc_length += current_length; line_idx++; } // 2 judge whether the cloest point is one vertex of polyline. // and spilit the polyline at different index int index = this->find_point(p); if (index != -1) { this->split_at_index(index, p1, p2); } else { Polyline temp; this->split_at_index(line_idx, p1, &temp); p1->append(p); this->split_at_index(line_idx + 1, &temp, p2); p2->append_before(p); } } return true; } 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; } void Polyline::append(const Polyline &src) { if (!src.is_valid()) return; if (this->points.empty()) { this->points = src.points; this->fitting_result = src.fitting_result; } else { //BBS: append the first point to create connection first, update the fitting date as well this->append(src.points[0]); //BBS: append a polyline which has fitting data to a polyline without fitting data. //Then create a fake fitting data first, so that we can keep the fitting data in last polyline if (this->fitting_result.empty() && !src.fitting_result.empty()) { this->fitting_result.emplace_back(PathFittingData{ 0, this->points.size() - 1, EMovePathType::Linear_move, ArcSegment() }); } //BBS: then append the remain points MultiPoint::append(src.points.begin() + 1, src.points.end()); //BBS: finally append the fitting data append_fitting_result_after_append_polyline(src); } } void Polyline::append(Polyline &&src) { if (!src.is_valid()) return; if (this->points.empty()) { this->points = std::move(src.points); this->fitting_result = std::move(src.fitting_result); } else { //BBS: append the first point to create connection first, update the fitting date as well this->append(src.points[0]); //BBS: append a polyline which has fitting data to a polyline without fitting data. //Then create a fake fitting data first, so that we can keep the fitting data in last polyline if (this->fitting_result.empty() && !src.fitting_result.empty()) { this->fitting_result.emplace_back(PathFittingData{ 0, this->points.size() - 1, EMovePathType::Linear_move, ArcSegment() }); } //BBS: then append the remain points MultiPoint::append(src.points.begin() + 1, src.points.end()); //BBS: finally append the fitting data append_fitting_result_after_append_polyline(src); src.points.clear(); src.fitting_result.clear(); } } void Polyline::append_fitting_result_after_append_points() { if (!fitting_result.empty()) { if (fitting_result.back().is_linear_move()) { fitting_result.back().end_point_index = this->points.size() - 1; } else { size_t new_start = fitting_result.back().end_point_index; size_t new_end = this->points.size() - 1; if (new_start != new_end) fitting_result.emplace_back(PathFittingData{ new_start, new_end, EMovePathType::Linear_move, ArcSegment() }); } } } void Polyline::append_fitting_result_after_append_polyline(const Polyline& src) { if (!this->fitting_result.empty()) { //BBS: offset and save the fitting_result from src polyline if (!src.fitting_result.empty()) { size_t old_size = this->fitting_result.size(); size_t index_offset = this->fitting_result.back().end_point_index; this->fitting_result.insert(this->fitting_result.end(), src.fitting_result.begin(), src.fitting_result.end()); for (size_t i = old_size; i < this->fitting_result.size(); i++) { this->fitting_result[i].start_point_index += index_offset; this->fitting_result[i].end_point_index += index_offset; } } else { //BBS: the append polyline has no fitting data, then append as linear move directly size_t new_start = this->fitting_result.back().end_point_index; size_t new_end = this->size() - 1; if (new_start != new_end) this->fitting_result.emplace_back(PathFittingData{ new_start, new_end, EMovePathType::Linear_move, ArcSegment() }); } } } void Polyline::reset_to_linear_move() { this->fitting_result.clear(); fitting_result.emplace_back(PathFittingData{ 0, points.size() - 1, EMovePathType::Linear_move, ArcSegment() }); this->fitting_result.shrink_to_fit(); } bool Polyline::split_fitting_result_before_index(const size_t index, Point& new_endpoint, std::vector& data) const { data.clear(); new_endpoint = this->points[index]; if (!this->fitting_result.empty()) { //BBS: max size data.reserve(this->fitting_result.size()); //BBS: save fitting result before index for (size_t i = 0; i < this->fitting_result.size(); i++) { if (this->fitting_result[i].start_point_index < index) data.push_back(this->fitting_result[i]); else break; } if (!data.empty()) { //BBS: need to clip the arc and generate new end point if (data.back().is_arc_move() && data.back().end_point_index > index) { if (!data.back().arc_data.clip_end(this->points[index])) //BBS: failed to clip arc, then return to be linear move data.back().path_type = EMovePathType::Linear_move; else //BBS: succeed to clip arc, then update and return the new end point new_endpoint = data.back().arc_data.end_point; } data.back().end_point_index = index; } data.shrink_to_fit(); return true; } return false; } bool Polyline::split_fitting_result_after_index(const size_t index, Point& new_startpoint, std::vector& data) const { data.clear(); new_startpoint = this->points[index]; if (!this->fitting_result.empty()) { data.reserve(this->fitting_result.size()); for (size_t i = 0; i < this->fitting_result.size(); i++) { if (this->fitting_result[i].end_point_index > index) data.push_back(this->fitting_result[i]); } if (!data.empty()) { for (size_t i = 0; i < data.size(); i++) { if (i != 0) { data[i].start_point_index -= index; data[i].end_point_index -= index; } else { data[i].end_point_index -= index; //BBS: need to clip the arc and generate new start point if (data.front().is_arc_move() && data.front().start_point_index < index) { if (!data.front().arc_data.clip_start(this->points[index])) //BBS: failed to clip arc, then return to be linear move data.front().path_type = EMovePathType::Linear_move; else //BBS: succeed to clip arc, then update and return the new start point new_startpoint = data.front().arc_data.start_point; } data[i].start_point_index = 0; } } } data.shrink_to_fit(); return true; } return false; } 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].points); } 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; } std::pair foot_pt(const Points &polyline, const Point &pt) { if (polyline.size() < 2) return std::make_pair(-1, Point(0, 0)); auto d2_min = std::numeric_limits::max(); Point foot_pt_min; Point prev = polyline.front(); auto it = polyline.begin(); auto it_proj = polyline.begin(); for (++it; it != polyline.end(); ++it) { Point foot_pt = pt.projection_onto(Line(prev, *it)); double d2 = (foot_pt - pt).cast().squaredNorm(); if (d2 < d2_min) { d2_min = d2; foot_pt_min = foot_pt; it_proj = it; } prev = *it; } return std::make_pair(int(it_proj - polyline.begin()) - 1, foot_pt_min); } 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; } }