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Longest path in multi circles searching
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@ -1993,20 +1993,16 @@ struct VoronoiGraph::Node::Neighbor
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const VD::edge_type *edge;
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// length edge between vertices
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double edge_length;
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// Sum of edge length to farest border of island
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double longest_distance;
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// pointer on graph node structure
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Node *graph_node;
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Node *node;
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public:
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Neighbor(const VD::edge_type *edge,
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double edge_length,
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double longest_distance,
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Node *graph_node)
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Node *node)
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: edge(edge)
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, edge_length(edge_length)
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, longest_distance(longest_distance)
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, graph_node(graph_node)
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, node(node)
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{}
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};
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@ -2024,9 +2020,15 @@ struct VoronoiGraph::Path
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double length;
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public:
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Path() : path(), length(0.) {}
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Path(const VoronoiGraph::Node *node) : path({node}), length(0.) {}
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Path(VoronoiGraph::Nodes nodes, double length)
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: path(std::move(nodes)), length(length)
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{}
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void append(const VoronoiGraph::Node *node, double length) {
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path.push_back(node);
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this->length += length;
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}
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};
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/// <summary>
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@ -2042,19 +2044,12 @@ struct VoronoiGraph::ExPath : public VoronoiGraph::Path
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// circles
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std::vector<VoronoiGraph::Circle> circles;
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// every connected circle have two records(firs to second & second to first)
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// index_to_circles i1, i2; --> connected_circle[i1] = i2; connected_circle[i2] = i1;
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std::map<size_t, std::set<size_t>> connected_circle;
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public:
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ExPath() = default;
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/// <summary>
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/// Append new node to path
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/// </summary>
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/// <param name="neighbor">node to be append</param>
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/// <param name="neighbor_distance">distance of new neighbor</param>
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ExPath(const VoronoiGraph::Node *neighbor_node,
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double neighbor_distance)
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{
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this->path.push_back(neighbor_node);
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this->length += neighbor_distance;
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}
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};
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/// <summary>
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@ -2110,9 +2105,9 @@ VoronoiGraph getSkeleton(const VD &vd, const Lines &lines)
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VoronoiGraph::Node* node1 = getNode(skeleton, v1, &edge, lines);
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// add extended Edge to graph, both side
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VoronoiGraph::Node::Neighbor neighbor0(&edge, length, 0., node1);
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VoronoiGraph::Node::Neighbor neighbor0(&edge, length, node1);
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node0->neighbors.push_back(neighbor0);
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VoronoiGraph::Node::Neighbor neighbor1(edge.twin(), length, 0., node0);
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VoronoiGraph::Node::Neighbor neighbor1(edge.twin(), length, node0);
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node1->neighbors.push_back(neighbor1);
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}
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return skeleton;
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@ -2151,7 +2146,7 @@ const VoronoiGraph::Node::Neighbor* get_neighbor(
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const VoronoiGraph::Node *to)
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{
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for (const VoronoiGraph::Node::Neighbor &neighbor : from->neighbors)
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if (neighbor.graph_node == to) return &neighbor;
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if (neighbor.node == to) return &neighbor;
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return nullptr;
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}
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double get_neighbor_distance(const VoronoiGraph::Node *from,
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@ -2170,14 +2165,10 @@ double get_neighbor_distance(const VoronoiGraph::Node *from,
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/// <param name="side_branches">Circle side branches</param>
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/// <param name="start_path">Path before circle</param>
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/// <returns>Longest nodes path and its length</returns>
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std::pair<VoronoiGraph::Nodes, double> find_longest_path_on_circle(
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VoronoiGraph::Circle & circle,
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const VoronoiGraph::ExPath::SideBranches &side_branches,
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const VoronoiGraph::Path & start_path)
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VoronoiGraph::Path find_longest_path_on_circle(
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const VoronoiGraph::Circle &circle,
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const VoronoiGraph::ExPath::SideBranches &side_branches)
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{
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// !! this FIX circle lenght because at detection of circle it will cost time to calculate it
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circle.length -= start_path.length;
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double half_circle_length = circle.length / 2.;
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double distance_on_circle = 0;
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@ -2240,6 +2231,96 @@ std::pair<VoronoiGraph::Nodes, double> find_longest_path_on_circle(
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return {circle_path, longest_branch_length};
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}
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struct OrderByLength
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{
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bool operator()(const VoronoiGraph::Path &path1, const VoronoiGraph::Path &path2)
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{
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return path1.length > path2.length;
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}
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};
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VoronoiGraph::Path find_longest_path_on_circles(
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const VoronoiGraph::Node &input_node,
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size_t finished_circle_index,
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const VoronoiGraph::ExPath &ex_path)
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{
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const std::vector<VoronoiGraph::Circle> &circles = ex_path.circles;
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const auto &circle = circles[finished_circle_index];
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auto connected_circle_item = ex_path.connected_circle.find(finished_circle_index);
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// is only one circle
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if (connected_circle_item == ex_path.connected_circle.end()) {
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// find longest path over circle and store it into next_path
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return find_longest_path_on_circle(circle, ex_path.side_branches);
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}
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// multi circle
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// find longest path over circles
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const std::set<size_t> &connected_circles = connected_circle_item->second;
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// collect all circle ndoes
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std::set<const VoronoiGraph::Node *> nodes;
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nodes.insert(circle.path.begin(), circle.path.end());
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for (size_t circle_index : connected_circles) {
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const auto &circle = circles[circle_index];
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nodes.insert(circle.path.begin(), circle.path.end());
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}
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// nodes are path throw circles
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// length is sum path throw circles PLUS length of longest side_branch
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VoronoiGraph::Path longest_path;
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// wide search by shortest distance for path over circle's node
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// !! do NOT use recursion, may cause stack overflow
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std::set<const VoronoiGraph::Node*> done; // all ready checked
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// on top is shortest path
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std::priority_queue<VoronoiGraph::Path, std::vector<VoronoiGraph::Path>,
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OrderByLength> search_queue;
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VoronoiGraph::Path start_path({&input_node}, 0.);
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search_queue.emplace(start_path);
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while (!search_queue.empty()) {
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// shortest path from input_node
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VoronoiGraph::Path path(std::move(search_queue.top()));
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search_queue.pop();
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const VoronoiGraph::Node &node = *path.path.back();
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if (done.find(&node) != done.end()) { // already checked
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continue;
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}
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done.insert(&node);
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for (const VoronoiGraph::Node::Neighbor &neighbor : node.neighbors) {
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if (nodes.find(neighbor.node) == nodes.end()) continue; // out of circles
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if (done.find(neighbor.node) != done.end()) continue;
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VoronoiGraph::Path neighbor_path = path; // make copy
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neighbor_path.append(neighbor.node, neighbor.edge_length);
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search_queue.push(neighbor_path);
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auto branches_item = ex_path.side_branches.find(neighbor.node);
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// exist side from this neighbor node ?
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if (branches_item == ex_path.side_branches.end()) continue;
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const VoronoiGraph::Path &longest_branch =
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branches_item->second.front();
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double length = longest_branch.length + neighbor_path.length;
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if (longest_path.length < length) {
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longest_path.length = length;
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longest_path.path = neighbor_path.path; // copy path
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}
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}
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}
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// create result path
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assert(!longest_path.path.empty());
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longest_path.path.erase(longest_path.path.begin()); // remove start of circle
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assert(!longest_path.path.empty());
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auto branches_item = ex_path.side_branches.find(longest_path.path.back());
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if (branches_item == ex_path.side_branches.end()) {
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// longest path ends on circle
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return longest_path;
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}
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const VoronoiGraph::Path &longest_branch = branches_item->second.front();
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longest_path.path.insert(longest_path.path.end(),
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longest_branch.path.begin(),
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longest_branch.path.end());
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return longest_path;
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}
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void sort_path_by_length(std::vector<VoronoiGraph::Path> &paths)
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{
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@ -2265,17 +2346,79 @@ std::optional<VoronoiGraph::Circle> create_circle(
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// not neccesary to check last one in path
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auto end_find = passed_nodes.end() - 1;
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const auto &path_item = std::find(passed_nodes.begin(), end_find,
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neighbor.graph_node);
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neighbor.node);
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if (path_item == end_find) return {}; // circle not detected
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// separate Circle:
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VoronoiGraph::Nodes circle_path(path_item, passed_nodes.end());
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// !!! Real circle lenght is calculated in function find_longest_path_on_circle
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// !!! Real circle lenght is calculated on detection of end circle
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// now circle_length contain also lenght of path before circle
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double circle_length = path.length + neighbor.edge_length;
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// solve of branch length will be at begin of cirlce
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return VoronoiGraph::Circle(std::move(circle_path), circle_length);
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};
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void merge_connected_circle(
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std::map<size_t, std::set<size_t>>& dst,
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std::map<size_t, std::set<size_t>>& src,
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size_t dst_circle_count)
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{
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std::set<size_t> done;
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for (const auto &item : src) {
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size_t dst_index = dst_circle_count + item.first;
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if (done.find(dst_index) != done.end()) continue;
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done.insert(dst_index);
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std::set<size_t> connected_circle;
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for (const size_t &src_index : item.second)
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connected_circle.insert(dst_circle_count + src_index);
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auto &dst_set = dst[dst_index];
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dst_set.merge(connected_circle);
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// write same information into connected circles
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connected_circle = dst_set; // copy
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connected_circle.insert(dst_index);
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for (size_t prev_connection_idx : dst_set) {
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done.insert(prev_connection_idx);
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for (size_t connected_circle_idx : connected_circle) {
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if (connected_circle_idx == prev_connection_idx) continue;
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dst[prev_connection_idx].insert(connected_circle_idx);
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}
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}
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}
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}
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/// <summary>
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/// PRIVATE:
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/// move data from source to destination
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/// side_branches + circles + connected_circle
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/// </summary>
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/// <param name="dst">result path - destination</param>
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/// <param name="src">source path - data will be moved to dst</param>
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void append_neighbor_branch(VoronoiGraph::ExPath &dst,
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VoronoiGraph::ExPath &src)
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{
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// move side branches
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if (!src.side_branches.empty())
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dst.side_branches.insert(
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std::make_move_iterator(src.side_branches.begin()),
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std::make_move_iterator(src.side_branches.end()));
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// move circles
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if (!src.circles.empty()) {
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// copy connected circles indexes
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if (!src.connected_circle.empty()) {
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merge_connected_circle(dst.connected_circle, src.connected_circle,
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dst.circles.size());
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}
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dst.circles.insert(
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dst.circles.end(),
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std::make_move_iterator(src.circles.begin()),
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std::make_move_iterator(src.circles.end()));
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}
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}
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/// <summary>
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/// PRIVATE:
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/// Depth search in Voronoi graph for longest path
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@ -2289,44 +2432,45 @@ VoronoiGraph::ExPath create_longest_branch_from_node(
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double distance_to_node = 0.,
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const VoronoiGraph::Path &prev_path = VoronoiGraph::Path({},0.))
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{
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const VoronoiGraph::Node *prev_node =
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(prev_path.path.size() >= 1) ? prev_path.path.back() : nullptr;
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// append actual node
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VoronoiGraph::Path act_path = prev_path; // make copy
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act_path.path.push_back(&node);
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act_path.length += distance_to_node;
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act_path.append(&node, distance_to_node);
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const VoronoiGraph::Nodes &prev_nodes = prev_path.path;
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const VoronoiGraph::Node *prev_node =
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(prev_nodes.size() >= 1) ? prev_nodes.back() : nullptr;
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const std::vector<VoronoiGraph::Node::Neighbor> &neighbors = node.neighbors;
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size_t neighbor_count = neighbors.size();
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std::vector<VoronoiGraph::Path> side_branches;
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side_branches.reserve(neighbor_count - 1); // one neighbor is prev node
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// when search on cirle store only branches not search for longest Path
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bool is_node_on_circle = false;
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// skip node on circle when circle start at this node
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// vector --> multiple cirle could start at same node
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// prev node should be skiped to
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VoronoiGraph::Nodes skip_nodes({prev_node}); // circle
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std::set<const VoronoiGraph::Node *> skip_nodes({prev_node}); // circle
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VoronoiGraph::ExPath result(&node, distance_to_node);
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VoronoiGraph::ExPath result;
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// when search on cirle store only branches not search for longest Path
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std::vector<size_t> circle_indexes; // connected circles
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std::vector<size_t> end_circle_indexes;
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// Depth search for path of all neighbors --> fill paths
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for (const VoronoiGraph::Node::Neighbor &neighbor : neighbors) {
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if (std::find(skip_nodes.begin(), skip_nodes.end(),
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neighbor.graph_node) != skip_nodes.end()) continue;
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if (skip_nodes.find(neighbor.node) != skip_nodes.end()) continue;
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// detection of circle
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auto circle_opt = create_circle(act_path, neighbor);
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if (circle_opt.has_value()) {
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size_t circle_index = result.circles.size();
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circle_indexes.push_back(circle_index);
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result.circles.emplace_back(std::move(circle_opt.value()));
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is_node_on_circle = true;
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continue;
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}
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// create copy of path(not circles, not side_branches)
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const VoronoiGraph::Node &next_node = *neighbor.graph_node;
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const VoronoiGraph::Node &next_node = *neighbor.node;
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// is next node leaf ?
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if (next_node.neighbors.size() == 1) {
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VoronoiGraph::Path side_branch({&next_node}, neighbor.edge_length);
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@ -2336,53 +2480,69 @@ VoronoiGraph::ExPath create_longest_branch_from_node(
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VoronoiGraph::ExPath next_path =
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create_longest_branch_from_node(next_node, neighbor.edge_length, act_path);
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// over all new circles -> check if this node is on circle
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bool is_circle_neighbor = false;
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for (VoronoiGraph::Circle &circle : next_path.circles) {
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const auto &circle_item = std::find(circle.path.begin(), circle.path.end(), &node);
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if (circle_item != circle.path.end()) {
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if (next_path.path.empty()) { // neighbor node is on circle
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for (VoronoiGraph::Circle &circle : next_path.circles) {
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const auto &circle_item = std::find(circle.path.begin(),
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circle.path.end(), &node);
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if (circle_item == circle.path.end()) continue; // node is NOT on circle
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size_t next_circle_index = &circle - &next_path.circles.front();
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size_t circle_index = result.circles.size() + next_circle_index;
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circle_indexes.push_back(circle_index);
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// check if this node is end of circle
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if (circle_item == circle.path.begin()) {
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// find longest path over circle and store it into next_path
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std::tie(next_path.path, next_path.length) =
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find_longest_path_on_circle(circle, next_path.side_branches, act_path);
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end_circle_indexes.push_back(circle_index);
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// !! this FIX circle lenght because at detection of
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// circle it will cost time to calculate it
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circle.length -= act_path.length;
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// skip twice checking of circle
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skip_nodes.push_back(circle.path.back());
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} else {
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is_node_on_circle = true;
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is_circle_neighbor = true;
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}
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skip_nodes.insert(circle.path.back());
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}
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is_circle_neighbor = true;
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}
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}
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// TODO: move insted of copy
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// copy side branches
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if (!next_path.side_branches.empty())
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result.side_branches.insert(
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next_path.side_branches.begin(),
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next_path.side_branches.end());
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// TODO: move insted of copy
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// copy circles
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if (!next_path.circles.empty())
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result.circles.insert(
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result.circles.end(),
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next_path.circles.begin(),
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next_path.circles.end());
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append_neighbor_branch(result, next_path);
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if (!is_circle_neighbor)
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side_branches.emplace_back(std::move(next_path));
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side_branches.emplace_back(std::move(next_path));
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}
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// nothing to store
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// remember connected circle
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if (circle_indexes.size() > 1) {
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for (size_t circle_index : circle_indexes) {
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for (size_t circle_index2 : circle_indexes) {
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if (circle_index == circle_index2) continue;
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result.connected_circle[circle_index].insert(circle_index2);
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}
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}
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}
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// detect end of circles in this node
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if (!end_circle_indexes.empty() &&
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end_circle_indexes.size() == circle_indexes.size()) {
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size_t circle_index = circle_indexes.front(); // possible any of them
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side_branches.push_back(
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find_longest_path_on_circles(node, circle_index, result));
|
||||
|
||||
circle_indexes.clear(); // resolved circles
|
||||
}
|
||||
|
||||
// simple node on circle --> only input and output neighbor
|
||||
if (side_branches.empty()) return result;
|
||||
if (side_branches.empty()) {
|
||||
return result;
|
||||
}
|
||||
|
||||
// from longest path
|
||||
sort_path_by_length(side_branches);
|
||||
|
||||
if (is_node_on_circle) {
|
||||
// is node on unresolved circle?
|
||||
if (!circle_indexes.empty()) {
|
||||
// not search for longest path, it will eval on end of circle
|
||||
result.side_branches[&node] = side_branches;
|
||||
return result;
|
||||
@ -2395,7 +2555,7 @@ VoronoiGraph::ExPath create_longest_branch_from_node(
|
||||
}
|
||||
longest_path.path.insert(longest_path.path.begin(), &node);
|
||||
result.path = std::move(longest_path.path);
|
||||
result.length += longest_path.length;
|
||||
result.length = distance_to_node + longest_path.length;
|
||||
return result;
|
||||
}
|
||||
// only for debug purpose
|
||||
@ -2625,8 +2785,8 @@ void draw(SVG &svg, const VoronoiGraph::Nodes& path, coord_t width, const char*
|
||||
Point to(node->vertex->x(), node->vertex->y());
|
||||
svg.draw(Line(from, to), color, width);
|
||||
|
||||
//svg.draw_text(from, std::to_string(index - 1).c_str(), color);
|
||||
//svg.draw_text(to, std::to_string(index).c_str(), color);
|
||||
svg.draw_text(from, std::to_string(index - 1).c_str(), color);
|
||||
svg.draw_text(to, std::to_string(index).c_str(), color);
|
||||
prev_node = node;
|
||||
}
|
||||
}
|
||||
@ -2636,8 +2796,18 @@ void draw(SVG &svg, const VoronoiGraph::ExPath &path, coord_t width) {
|
||||
const char *sideBranchesColor = "blue";
|
||||
const char *mainPathColor = "red";
|
||||
|
||||
for (auto &circle : path.circles)
|
||||
for (auto &circle : path.circles) {
|
||||
draw(svg, circle.path, width, circlePathColor, true);
|
||||
Point center(0, 0);
|
||||
for (auto p : circle.path) {
|
||||
center.x() += p->vertex->x();
|
||||
center.y() += p->vertex->y();
|
||||
}
|
||||
center.x() /= circle.path.size();
|
||||
center.y() /= circle.path.size();
|
||||
|
||||
svg.draw_text(center, ("C"+std::to_string(&circle - &path.circles.front())).c_str(), circlePathColor);
|
||||
}
|
||||
|
||||
for (auto& branches : path.side_branches)
|
||||
for (auto &branch : branches.second) {
|
||||
@ -2706,11 +2876,49 @@ TEST_CASE("Sample speed test on FrogLegs", "[VoronoiSkeleton]") {
|
||||
cfg.curve_sample = 0.1 * size;
|
||||
cfg.max_length_for_one_support_point = 3 * size;
|
||||
|
||||
for (int i = 0; i < 1; ++i) {
|
||||
for (int i = 0; i < 100; ++i) {
|
||||
auto points = sample_in_center(frog_leg, cfg, false);
|
||||
}
|
||||
}
|
||||
|
||||
TEST_CASE("Move vector", "[VoronoiSkeleton]") {
|
||||
struct T{
|
||||
std::vector<int> data;
|
||||
std::map<const int *, const int *> connectors;
|
||||
};
|
||||
|
||||
T cp;
|
||||
cp.data = {2, 8, 16};
|
||||
cp.connectors[&cp.data[0]] = &cp.data[2]; // 2 -> 16
|
||||
cp.connectors[&cp.data[2]] = &cp.data[0]; // 16 -> 2
|
||||
|
||||
std::cout << "test data ";
|
||||
for (auto &i : cp.data) std::cout << i << ", ";
|
||||
std::cout << "\n";
|
||||
for (auto &i : cp.connectors)
|
||||
std::cout << *(i.first) << " -> " << *(i.second) << "\n";
|
||||
std::cout << "end ";
|
||||
|
||||
{
|
||||
T t;
|
||||
t.data = {1, 12, 33, 4, 105, 116};
|
||||
t.connectors[&t.data[1]] = &t.data[3]; // 12 -> 4
|
||||
t.connectors[&t.data[3]] = &t.data[1]; // 12 -> 4
|
||||
|
||||
cp.data.insert(cp.data.end(), std::move_iterator(t.data.begin()),
|
||||
std::move_iterator(t.data.end()));
|
||||
cp.connectors.insert(std::move_iterator(t.connectors.begin()),
|
||||
std::move_iterator(t.connectors.end()));
|
||||
}
|
||||
|
||||
std::cout << "test data ";
|
||||
for (auto &i : cp.data) std::cout << i << ", ";
|
||||
std::cout << "\n";
|
||||
for (auto &i : cp.connectors)
|
||||
std::cout << *i.first << " -> " << *i.second << "\n";
|
||||
std::cout << "end ";
|
||||
}
|
||||
|
||||
TEST_CASE("Sample small islands", "[VoronoiSkeleton]")
|
||||
{
|
||||
double size = 3e7;
|
||||
@ -2769,8 +2977,23 @@ TEST_CASE("Sample small islands", "[VoronoiSkeleton]")
|
||||
{4 * size5, size5},
|
||||
{3 * size5, size5}}};
|
||||
|
||||
size_t count_cirlce_lines = 10; // test stack overfrow
|
||||
double r_CCW = size / 2;
|
||||
double r_CW = r_CCW - size / 6;
|
||||
// CCW: couter clock wise, CW: clock wise
|
||||
Points circle_CCW, circle_CW;
|
||||
circle_CCW.reserve(count_cirlce_lines);
|
||||
circle_CW.reserve(count_cirlce_lines);
|
||||
for (size_t i = 0; i < count_cirlce_lines; ++i) {
|
||||
double alpha = (2 * M_PI * i) / count_cirlce_lines;
|
||||
double sina = sin(alpha);
|
||||
double cosa = cos(alpha);
|
||||
circle_CCW.emplace_back(-r_CCW * sina, r_CCW * cosa);
|
||||
circle_CW.emplace_back(r_CW * sina, r_CW * cosa);
|
||||
}
|
||||
ExPolygon double_circle(circle_CCW, circle_CW);
|
||||
|
||||
//*
|
||||
/*
|
||||
TriangleMesh mesh = load_model("frog_legs.obj");
|
||||
TriangleMeshSlicer slicer{&mesh};
|
||||
std::vector<float> grid({ 0.1f });
|
||||
@ -2785,7 +3008,7 @@ TEST_CASE("Sample small islands", "[VoronoiSkeleton]")
|
||||
cfg.curve_sample = 0.1 *size;
|
||||
cfg.max_length_for_one_support_point = 3 * size;
|
||||
|
||||
ExPolygons islands = { frog_leg,
|
||||
ExPolygons islands = {
|
||||
triangle
|
||||
, square
|
||||
, sharp_triangle
|
||||
@ -2794,7 +3017,8 @@ TEST_CASE("Sample small islands", "[VoronoiSkeleton]")
|
||||
, triangle_with_hole
|
||||
, rect_with_4_hole
|
||||
, mountains
|
||||
, frog_leg
|
||||
//, double_circle
|
||||
//, frog_leg
|
||||
};
|
||||
for (auto &island : islands) {
|
||||
auto points = test_island_sampling(island, cfg);
|
||||
|
Loading…
x
Reference in New Issue
Block a user