diff --git a/10/graph.hpp b/10/graph.hpp new file mode 100644 index 0000000..a15b2ac --- /dev/null +++ b/10/graph.hpp @@ -0,0 +1,160 @@ +#pragma once +#include +#include +#include +#include +#include +#include +#include +#include +#include + +using function = std::string; + +struct group { + std::set members; +}; + +using group_ptr = std::unique_ptr; + +class function_graph { + using group_id = size_t; + + struct group_data { + std::set functions; + std::set adjacency_list; + size_t indegree; + }; + + using edge = std::pair; + using data_ptr = std::shared_ptr; + using group_edge = std::pair; + + std::map> adjacency_lists; + std::set edges; + + std::set compute_transitive_edges(); + void create_groups( + const std::set&, + std::map&, + std::map&); + void create_edges( + std::map&, + std::map&); + std::vector generate_order( + std::map&, + std::map&); + + public: + void add_edge(const function& from, const function& to); + std::vector compute_order(); +}; + +std::set function_graph::compute_transitive_edges() { + std::set transitive_edges; + transitive_edges.insert(edges.begin(), edges.end()); + for(auto& connector : adjacency_lists) { + for(auto& from : adjacency_lists) { + edge to_connector { from.first, connector.first }; + for(auto& to : adjacency_lists) { + edge full_jump { from.first, to.first }; + if(transitive_edges.find(full_jump) != transitive_edges.end()) continue; + + edge from_connector { connector.first, to.first }; + if(transitive_edges.find(to_connector) != transitive_edges.end() && + transitive_edges.find(from_connector) != transitive_edges.end()) + transitive_edges.insert(std::move(full_jump)); + } + } + } + return transitive_edges; +} + +void function_graph::create_groups( + const std::set& transitive_edges, + std::map& group_ids, + std::map& group_data_map) { + group_id id_counter = 0; + for(auto& vertex : adjacency_lists) { + if(group_ids.find(vertex.first) != group_ids.end()) + continue; + data_ptr new_group(new group_data); + new_group->functions.insert(vertex.first); + group_data_map[id_counter] = new_group; + group_ids[vertex.first] = id_counter; + for(auto& other_vertex : adjacency_lists) { + if(transitive_edges.find({vertex.first, other_vertex.first}) != transitive_edges.end() && + transitive_edges.find({other_vertex.first, vertex.first}) != transitive_edges.end()) { + group_ids[other_vertex.first] = id_counter; + new_group->functions.insert(other_vertex.first); + } + } + id_counter++; + } +} + +void function_graph::create_edges( + std::map& group_ids, + std::map& group_data_map) { + std::set> group_edges; + for(auto& vertex : adjacency_lists) { + auto vertex_id = group_ids[vertex.first]; + auto& vertex_data = group_data_map[vertex_id]; + for(auto& other_vertex : vertex.second) { + auto other_id = group_ids[other_vertex]; + if(vertex_id == other_id) continue; + if(group_edges.find({vertex_id, other_id}) != group_edges.end()) + continue; + group_edges.insert({vertex_id, other_id}); + vertex_data->adjacency_list.insert(other_id); + group_data_map[other_id]->indegree++; + } + } +} + +std::vector function_graph::generate_order( + std::map& group_ids, + std::map& group_data_map) { + std::queue id_queue; + std::vector output; + for(auto& group : group_data_map) { + if(group.second->indegree == 0) id_queue.push(group.first); + } + + while(!id_queue.empty()) { + auto new_id = id_queue.front(); + auto& group_data = group_data_map[new_id]; + group_ptr output_group(new group); + output_group->members = std::move(group_data->functions); + id_queue.pop(); + + for(auto& adjacent_group : group_data->adjacency_list) { + if(--group_data_map[adjacent_group]->indegree == 0) + id_queue.push(adjacent_group); + } + + output.push_back(std::move(output_group)); + } + + return output; +} + +void function_graph::add_edge(const function& from, const function& to) { + auto adjacency_list_it = adjacency_lists.find(from); + if(adjacency_list_it != adjacency_lists.end()) { + adjacency_list_it->second.insert(to); + } else { + adjacency_lists[from] = { to }; + } + edges.insert({ from, to }); +} + +std::vector function_graph::compute_order() { + std::set transitive_edges = compute_transitive_edges(); + std::map group_ids; + std::map group_data_map; + + create_groups(transitive_edges, group_ids, group_data_map); + create_edges(group_ids, group_data_map); + return generate_order(group_ids, group_data_map); +}