From ccac53854d6df90d8f3b8221090ad97007b7470a Mon Sep 17 00:00:00 2001
From: Danila Fedorin <danila.fedorin@gmail.com>
Date: Sat, 14 Mar 2020 17:18:06 -0700
Subject: [PATCH] Start work on algorithms in compiler post 10

---
 10/graph.hpp | 160 +++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 160 insertions(+)
 create mode 100644 10/graph.hpp

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 <algorithm>
+#include <cstddef>
+#include <queue>
+#include <set>
+#include <string>
+#include <map>
+#include <memory>
+#include <vector>
+#include <iostream>
+
+using function = std::string;
+
+struct group {
+    std::set<function> members;
+};
+
+using group_ptr = std::unique_ptr<group>;
+
+class function_graph {
+    using group_id = size_t;
+
+    struct group_data {
+        std::set<function> functions;
+        std::set<group_id> adjacency_list;
+        size_t indegree;
+    };
+
+    using edge = std::pair<function, function>;
+    using data_ptr = std::shared_ptr<group_data>;
+    using group_edge = std::pair<group_id, group_id>;
+
+    std::map<function, std::set<function>> adjacency_lists;
+    std::set<edge> edges;
+
+    std::set<edge> compute_transitive_edges();
+    void create_groups(
+            const std::set<edge>&,
+            std::map<function, group_id>&,
+            std::map<group_id, data_ptr>&);
+    void create_edges(
+            std::map<function, group_id>&,
+            std::map<group_id, data_ptr>&);
+    std::vector<group_ptr> generate_order(
+            std::map<function, group_id>&,
+            std::map<group_id, data_ptr>&);
+    
+    public:
+    void add_edge(const function& from, const function& to);
+    std::vector<group_ptr> compute_order();
+};
+
+std::set<function_graph::edge> function_graph::compute_transitive_edges() {
+    std::set<edge> 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<edge>& transitive_edges,
+        std::map<function, group_id>& group_ids,
+        std::map<group_id, data_ptr>& 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<function, group_id>& group_ids,
+        std::map<group_id, data_ptr>& group_data_map) {
+    std::set<std::pair<group_id, group_id>> 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<group_ptr> function_graph::generate_order(
+        std::map<function, group_id>& group_ids,
+        std::map<group_id, data_ptr>& group_data_map) {
+    std::queue<group_id> id_queue;
+    std::vector<group_ptr> 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<group_ptr> function_graph::compute_order() {
+    std::set<edge> transitive_edges = compute_transitive_edges();
+    std::map<function, group_id> group_ids;
+    std::map<group_id, data_ptr> 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);
+}