From 3fe9e21881924ec5789d8e425788dfce7c9dddc0 Mon Sep 17 00:00:00 2001 From: Hromz Date: Mon, 24 Jul 2023 19:14:49 +0300 Subject: [PATCH 01/26] - added DFS cycle detection for directed and undirected graph - added tests --- .gitignore | 1 + include/graaflib/algorithm/cycle_detection.h | 20 ++ .../graaflib/algorithm/cycle_detection.tpp | 96 ++++++++++ .../algorithm/cycle_detection_test.cpp | 172 ++++++++++++++++++ 4 files changed, 289 insertions(+) create mode 100644 include/graaflib/algorithm/cycle_detection.h create mode 100644 include/graaflib/algorithm/cycle_detection.tpp create mode 100644 test/graaflib/algorithm/cycle_detection_test.cpp diff --git a/.gitignore b/.gitignore index 8ee1efe7..ff15a5c4 100644 --- a/.gitignore +++ b/.gitignore @@ -4,3 +4,4 @@ build/ # IDE .vscode/ .cache/ +.vs/ diff --git a/include/graaflib/algorithm/cycle_detection.h b/include/graaflib/algorithm/cycle_detection.h new file mode 100644 index 00000000..539843b7 --- /dev/null +++ b/include/graaflib/algorithm/cycle_detection.h @@ -0,0 +1,20 @@ +#pragma once + +#include +#include + +#include + +namespace graaf::algorithm { + +/* + * @breif Traverses the graph and check for cycles. + * + * @param graph The graph to traverse. + */ +template +bool has_cycle(const graph &graph); + +} // namespace graaf::algorithm + +#include "cycle_detection.tpp" \ No newline at end of file diff --git a/include/graaflib/algorithm/cycle_detection.tpp b/include/graaflib/algorithm/cycle_detection.tpp new file mode 100644 index 00000000..53e1a29b --- /dev/null +++ b/include/graaflib/algorithm/cycle_detection.tpp @@ -0,0 +1,96 @@ +#pragma once + +#include +#include + +namespace graaf::algorithm { + +namespace detail { + +enum vertex_color{WHITE, GREY, BLACK}; + +template +bool do_dfs_directed(const graph& graph, + std::unordered_map& colored_vertices, + vertex_id_t current) { + colored_vertices[current] = vertex_color::GREY; + + for (const auto& neighbour_vertex : graph.get_neighbors(current)) { + if (colored_vertices[neighbour_vertex] == vertex_color::WHITE) { + if (do_dfs_directed(graph, colored_vertices, neighbour_vertex)) + return true; + } + else if (colored_vertices[neighbour_vertex] == vertex_color::GREY) { + return true; + } + } + + colored_vertices[current] = vertex_color::BLACK; + return false; +} + +template +bool do_dfs_undirected(const graph & graph, + std::unordered_map & visited_vertices, + std::unordered_map & parent_vertices, + vertex_id_t parent_vertex, vertex_id_t current) { + + visited_vertices[current] = true; + + for (const auto& neighbour_vertex : graph.get_neighbors(current)) { + if (neighbour_vertex == parent_vertex) + continue; + + if (visited_vertices[neighbour_vertex]) + return true; + + parent_vertices[neighbour_vertex] = parent_vertex; + + if (do_dfs_undirected(graph, visited_vertices, parent_vertices, neighbour_vertex, + parent_vertices[neighbour_vertex])) { + return true; + } + } + + return false; +} + +} // namespace detail + +template +bool has_cycle(const graph& graph) { + + + if (graph.is_directed()) { + std::unordered_map colored_vertices{}; + + for (const auto& vertex : graph.get_vertices()) { + if (!colored_vertices.contains(vertex.first) && + detail::do_dfs_directed(graph, colored_vertices, vertex.first)) { + return true; + } + } + + return false; + } + + if (graph.is_undirected()) { + std::unordered_map visited_vertices{}; + std::unordered_map parent_vertices{}; + + for (const auto& vertex : graph.get_vertices()) { + if (!visited_vertices.contains(vertex.first) && + detail::do_dfs_undirected(graph, visited_vertices, parent_vertices, + vertex.first, parent_vertices[vertex.first])) { + return true; + } + } + } + + return false; + + // We should never reach this + std::abort(); +} + +} // namespace graaf::algorithm \ No newline at end of file diff --git a/test/graaflib/algorithm/cycle_detection_test.cpp b/test/graaflib/algorithm/cycle_detection_test.cpp new file mode 100644 index 00000000..4383a50b --- /dev/null +++ b/test/graaflib/algorithm/cycle_detection_test.cpp @@ -0,0 +1,172 @@ +#include +#include +#include +#include +#include + +#include +#include +#include + +namespace graaf::algorithm { + +namespace { + +template +struct GraphCycleTest : public testing::Test { + using graph_t = T; +}; + +using graph_types = + testing::Types, undirected_graph>; +TYPED_TEST_SUITE(GraphCycleTest, graph_types); + +} // namespace + +TYPED_TEST(GraphCycleTest, GraphWithCycle) { + // GIVEN + directed_graph graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + graph.add_edge(vertex_3, vertex_1, 300); + + // checking if graph contains cycles + bool cycle = has_cycle(graph); + ASSERT_TRUE(cycle); +} + +TYPED_TEST(GraphCycleTest, DirectedGraphWithCycleMiddle) { + // GIVEN + directed_graph graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + graph.add_edge(vertex_2, vertex_1, 300); + + // checking if graph contains cycle + bool cycle = has_cycle(graph); + ASSERT_TRUE(cycle); +} + +TYPED_TEST(GraphCycleTest, GraphWithoutCycle) { + // GIVEN + directed_graph graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + + // checking if graph contains cycle + bool cycle = has_cycle(graph); + ASSERT_FALSE(cycle); +} + +TYPED_TEST(GraphCycleTest, UndirectedGraphWithoutCycle) { + // GIVEN + undirected_graph graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + + // checking if graph contains cycle + bool cycle = has_cycle(graph); + ASSERT_FALSE(cycle); +} + +TYPED_TEST(GraphCycleTest, UndirectedGraphWithCycle) { + // GIVEN + undirected_graph graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + graph.add_edge(vertex_3, vertex_1, 400); + + // checking if graph contains cycle + bool cycle = has_cycle(graph); + ASSERT_TRUE(cycle); +} + +TYPED_TEST(GraphCycleTest, EmptyGraphs) { + // GIVEN + directed_graph directed_graph{}; + undirected_graph undirected_graph{}; + + // checking if graph contains cycles + bool cycle = has_cycle(directed_graph); + ASSERT_FALSE(cycle); + + // checking if graph contains cycles + cycle = has_cycle(undirected_graph); + ASSERT_FALSE(cycle); +} + +TYPED_TEST(GraphCycleTest, DefaultGraphWithCycle) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + graph.add_edge(vertex_3, vertex_1, 400); + + // checking if graph contains cycle + bool cycle = has_cycle(graph); + ASSERT_TRUE(cycle); +} + +TYPED_TEST(GraphCycleTest, DefaultGraphWithoutCycle) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + // graph vertices + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + + // adding edges to our graph + graph.add_edge(vertex_1, vertex_2, 100); + graph.add_edge(vertex_2, vertex_3, 300); + + // checking if graph contains cycle + bool cycle = has_cycle(graph); + ASSERT_FALSE(cycle); +} + +} // namespace graaf::algorithm From a6293523eac7b4e4d01b1e2b52af075d0a0d5d98 Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 25 Jul 2023 13:16:58 +0300 Subject: [PATCH 02/26] - corrected code according to comments --- include/graaflib/algorithm/cycle_detection.h | 7 ++--- .../graaflib/algorithm/cycle_detection.tpp | 26 ++++++++++++------- .../algorithm/cycle_detection_test.cpp | 4 +-- 3 files changed, 20 insertions(+), 17 deletions(-) diff --git a/include/graaflib/algorithm/cycle_detection.h b/include/graaflib/algorithm/cycle_detection.h index 539843b7..dc5889be 100644 --- a/include/graaflib/algorithm/cycle_detection.h +++ b/include/graaflib/algorithm/cycle_detection.h @@ -1,19 +1,16 @@ #pragma once #include -#include - -#include namespace graaf::algorithm { /* - * @breif Traverses the graph and check for cycles. + * @breif Traverses the graph and checks for cycles. * * @param graph The graph to traverse. */ template -bool has_cycle(const graph &graph); +[[nodiscard]] bool has_cycle(const graph &graph); } // namespace graaf::algorithm diff --git a/include/graaflib/algorithm/cycle_detection.tpp b/include/graaflib/algorithm/cycle_detection.tpp index 53e1a29b..a1b25804 100644 --- a/include/graaflib/algorithm/cycle_detection.tpp +++ b/include/graaflib/algorithm/cycle_detection.tpp @@ -1,31 +1,32 @@ #pragma once +#include + #include #include namespace graaf::algorithm { +enum vertex_color { UNVISITED, VISITED, NO_CYCLE }; namespace detail { -enum vertex_color{WHITE, GREY, BLACK}; - template bool do_dfs_directed(const graph& graph, - std::unordered_map& colored_vertices, + std::unordered_map& colored_vertices, vertex_id_t current) { - colored_vertices[current] = vertex_color::GREY; + colored_vertices[current] = vertex_color::VISITED; for (const auto& neighbour_vertex : graph.get_neighbors(current)) { - if (colored_vertices[neighbour_vertex] == vertex_color::WHITE) { + if (colored_vertices[neighbour_vertex] == vertex_color::UNVISITED) { if (do_dfs_directed(graph, colored_vertices, neighbour_vertex)) return true; } - else if (colored_vertices[neighbour_vertex] == vertex_color::GREY) { + else if (colored_vertices[neighbour_vertex] == vertex_color::VISITED) { return true; } } - colored_vertices[current] = vertex_color::BLACK; + colored_vertices[current] = vertex_color::NO_CYCLE; return false; } @@ -60,12 +61,11 @@ bool do_dfs_undirected(const graph & graph, template bool has_cycle(const graph& graph) { - if (graph.is_directed()) { - std::unordered_map colored_vertices{}; + std::unordered_map colored_vertices{}; for (const auto& vertex : graph.get_vertices()) { - if (!colored_vertices.contains(vertex.first) && + if (colored_vertices[vertex.first] == UNVISITED && detail::do_dfs_directed(graph, colored_vertices, vertex.first)) { return true; } @@ -75,6 +75,11 @@ bool has_cycle(const graph& graph) { } if (graph.is_undirected()) { + // Number of vertices cannot be zero (in case if graph is empty) + if (graph.edge_count() >= graph.vertex_count() && graph.vertex_count() > 0) { + return true; + } + std::unordered_map visited_vertices{}; std::unordered_map parent_vertices{}; @@ -91,6 +96,7 @@ bool has_cycle(const graph& graph) { // We should never reach this std::abort(); + return false; } } // namespace graaf::algorithm \ No newline at end of file diff --git a/test/graaflib/algorithm/cycle_detection_test.cpp b/test/graaflib/algorithm/cycle_detection_test.cpp index 4383a50b..8c07e0b5 100644 --- a/test/graaflib/algorithm/cycle_detection_test.cpp +++ b/test/graaflib/algorithm/cycle_detection_test.cpp @@ -23,7 +23,7 @@ TYPED_TEST_SUITE(GraphCycleTest, graph_types); } // namespace -TYPED_TEST(GraphCycleTest, GraphWithCycle) { +TYPED_TEST(GraphCycleTest, DirectedGraphWithCycle) { // GIVEN directed_graph graph{}; @@ -61,7 +61,7 @@ TYPED_TEST(GraphCycleTest, DirectedGraphWithCycleMiddle) { ASSERT_TRUE(cycle); } -TYPED_TEST(GraphCycleTest, GraphWithoutCycle) { +TYPED_TEST(GraphCycleTest, DirectedGraphWithoutCycle) { // GIVEN directed_graph graph{}; From 99f77cd152e9990c52b85cf1b19632cd5928daca Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Tue, 25 Jul 2023 22:38:37 +0200 Subject: [PATCH 03/26] Apply suggestions from code review --- include/graaflib/algorithm/cycle_detection.h | 2 +- include/graaflib/algorithm/cycle_detection.tpp | 10 ++++------ 2 files changed, 5 insertions(+), 7 deletions(-) diff --git a/include/graaflib/algorithm/cycle_detection.h b/include/graaflib/algorithm/cycle_detection.h index dc5889be..31522c93 100644 --- a/include/graaflib/algorithm/cycle_detection.h +++ b/include/graaflib/algorithm/cycle_detection.h @@ -5,7 +5,7 @@ namespace graaf::algorithm { /* - * @breif Traverses the graph and checks for cycles. + * @brief Traverses the graph and checks for cycles. * * @param graph The graph to traverse. */ diff --git a/include/graaflib/algorithm/cycle_detection.tpp b/include/graaflib/algorithm/cycle_detection.tpp index a1b25804..7af5c12a 100644 --- a/include/graaflib/algorithm/cycle_detection.tpp +++ b/include/graaflib/algorithm/cycle_detection.tpp @@ -7,9 +7,10 @@ namespace graaf::algorithm { -enum vertex_color { UNVISITED, VISITED, NO_CYCLE }; namespace detail { +enum class vertex_color { UNVISITED, VISITED, NO_CYCLE }; + template bool do_dfs_directed(const graph& graph, std::unordered_map& colored_vertices, @@ -62,9 +63,10 @@ template bool has_cycle(const graph& graph) { if (graph.is_directed()) { - std::unordered_map colored_vertices{}; + std::unordered_map colored_vertices{}; for (const auto& vertex : graph.get_vertices()) { + using enum detail::vertex_color; if (colored_vertices[vertex.first] == UNVISITED && detail::do_dfs_directed(graph, colored_vertices, vertex.first)) { return true; @@ -93,10 +95,6 @@ bool has_cycle(const graph& graph) { } return false; - - // We should never reach this - std::abort(); - return false; } } // namespace graaf::algorithm \ No newline at end of file From 432b6b437212f4ebc50a8cb13d31bedb4cfad652 Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 1 Aug 2023 22:37:59 +0300 Subject: [PATCH 04/26] - First example of potential use of the library --- .../example-basics/transport-example.md | 118 ++++++++++++++ .../example_shortest_path_unweighted.png | Bin 0 -> 56583 bytes .../example_shortest_path_weighted.png | Bin 0 -> 56731 bytes .../examples/example_traversed_graph_BFS.png | Bin 0 -> 53759 bytes docs/static/img/examples/example_usage.png | Bin 0 -> 55425 bytes examples/CMakeLists.txt | 2 +- examples/transport/main.cpp | 154 ++++++++++++++++++ 7 files changed, 273 insertions(+), 1 deletion(-) create mode 100644 docs/docs/examples/example-basics/transport-example.md create mode 100644 docs/static/img/examples/example_shortest_path_unweighted.png create mode 100644 docs/static/img/examples/example_shortest_path_weighted.png create mode 100644 docs/static/img/examples/example_traversed_graph_BFS.png create mode 100644 docs/static/img/examples/example_usage.png create mode 100644 examples/transport/main.cpp diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md new file mode 100644 index 00000000..cecac7f6 --- /dev/null +++ b/docs/docs/examples/example-basics/transport-example.md @@ -0,0 +1,118 @@ +--- +sidebar_position: 2 +--- + +# Network Example +The undirected_graph implemented in `graaf::undirected_graph` +The shortest path algorithm implemented in `graaf::algorithm::get_shortest_path` +The graph traversal implemented in `graaf::algorithm::graph_traversal` + +Using the following graph: + +
+

+ +

+
+ +Custom vertex and edge. In order to use Dijkstra, we should provide the get_weight() function for the edge. + +```c++ +struct station { + int id{}; + std::string name{}; + double gaz_capacity{}; +}; + +struct road { + int length{}; + int get_weight() { return length; } +}; +``` + +# Initializing graph, start and end vertecies +First, we create data structure and initializing graph with vertices and edges + +```c++ +struct graph_with_start_and_target { + graaf::undirected_graph graph{}; + graaf::vertex_id_t start{}; + graaf::vertex_id_t target{}; +}; + +graph_with_start_and_target create_graph_with_start_and_target() { +... +} +``` + +## Visualizing graph traversal result +For shortest path, colouring edges with red to indicate the shortest path for both weighted and unweighted graph + +Result of unweighted shortest path, chosen edges are coloured red +
+

+ +

+
+ +Result of weighted shortest path, chosen edges are coloured red +
+

+ +

+
+ + +```c++ +void print_shortest_path(const graaf::undirected_graph& graph, + const std::optional>& path, const std::string & filepath) { +... +} + +void print_visited_vertices(const graaf::undirected_graph& graph, + seen_vertices_t& seen, + const std::string& filepath) { +... +} +``` + +Creating a vertex callback structure that will be passed as an argument in the graph traverse function +The function is needed in order to be called inside the traverse function; see graph.tpp file lines 15 and 45 for context. + +```c++ +using seen_vertices_t = std::unordered_multiset; +struct record_vertex_callback { + seen_vertices_t& seen_vertices; + + record_vertex_callback(seen_vertices_t& seen_vertices) + : seen_vertices{seen_vertices} {} + + void operator()(const graaf::vertex_id_t vertex) const { + seen_vertices.insert(vertex); + } +}; +``` + +### Graph example usage +First code block: traversing a weighted graph for the shortest path (Dijkstra) and printing the result to *.dot file. +Second code block: traversing an unweighted graph for the shortest path and printing the result to *.dot file. +The last one is traversing the graph from a given vertex and printing the result to *.dot file. + +```c++ + const auto [graph, start, target]{create_graph_with_start_and_target()}; + + const auto weighted_shortest_path{graaf::algorithm::get_shortest_path< + graaf::algorithm::edge_strategy::WEIGHTED, station, road, + graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); + + const auto unweighted_shortest_path{graaf::algorithm::get_shortest_path< + graaf::algorithm::edge_strategy::UNWEIGHTED, station, road, + graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); + + seen_vertices_t seen_vertices{}; + graaf::algorithm::traverse( + graph, start, record_vertex_callback{seen_vertices}); + print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); +``` \ No newline at end of file diff --git a/docs/static/img/examples/example_shortest_path_unweighted.png b/docs/static/img/examples/example_shortest_path_unweighted.png new file mode 100644 index 0000000000000000000000000000000000000000..850ffe90197319e4533cdca2cd26d54b7cdc3063 GIT binary patch literal 56583 zcmYg%byQVf)GgozE~Rt}+)H;i(%s$Njevr5cXy+NgrKB^ASK9$HSet_!V@SWLUD$=$(?| zt5lPMmE;Iua)Z;7GqO%xgi7?xGn{IK54%lwfB#8*2w1)R5is@a65Hk3l;2^{QNW~l zK*;6!PnY+feHz$JT3qpnF`>kV!rwsu z`&i=!Ux}gVX6XFCYvm*{vRjbldSoE?w`UqkFSA(ml$CQhKL6CKP$hff{YHryC0ZsIzwz-uI(UdR00<==yu&*IxEgZ&4a$WZ)RQoR=9uTN2G z4C=C}gRi8nnse^{RlW{RUk!P9#vFIEU)TNPGtGcm$DfvEpREMsfXko0IYE~{4On!m zEXDr}tY)zqO#UvqsfVX}K)%&kaPEJ5&-*>(;h)9zpVn1X>dkQI;?amWOd;gq&bNea z1fPjmJa|-H^p9<9PDUs_KL5Y&r@lY5e(jHZDDqwLD_HgY`O;wB+H`Hnd+OO8TXq*K z4kXj^Epqk>ISz!F!<6ZD;AtG2d8eWNd*hEdaW`P0t<1J>m9tuC1+ic06KvlWtBTr% z*sMi{(mS{2N@C9WpLD+txnIN;S2?}f5@y{V&03BQlRZ@;Tm(JI^0|tEIXZ 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sources target_include_directories(${PROJECT_NAME}_${EXAMPLE_NAME}_example PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/../include) diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp new file mode 100644 index 00000000..ef7a6445 --- /dev/null +++ b/examples/transport/main.cpp @@ -0,0 +1,154 @@ +#include +#include +#include +#include +#include +#include + +struct station { + std::string name{}; + double gaz_capacity{}; +}; + +struct road { + int length{}; + int get_weight() { return length; } +}; + +struct graph_with_start_and_target { + graaf::undirected_graph graph{}; + graaf::vertex_id_t start{}; + graaf::vertex_id_t target{}; +}; + +graph_with_start_and_target create_graph_with_start_and_target() { + graaf::undirected_graph my_stations{}; + + const auto station_1{my_stations.add_vertex(station{"Road 66", 13.5})}; + const auto station_2{my_stations.add_vertex(station{"Long road", 7.3})}; + const auto station_3{my_stations.add_vertex(station{"Stop & Buy", 25.4})}; + const auto station_4{my_stations.add_vertex(station{"GAZilla", 11.3})}; + const auto station_5{my_stations.add_vertex(station{"Station 32", 73.12})}; + const auto station_6{my_stations.add_vertex(station{"Last stop", 0.5})}; + const auto station_7{my_stations.add_vertex(station{"You won't reach it", 55.5})}; + const auto station_8{my_stations.add_vertex(station{"Went for lunch break", 66.5})}; + + my_stations.add_edge(station_1, station_2, road{125}); + my_stations.add_edge(station_2, station_4, road{205}); + my_stations.add_edge(station_4, station_5, road{325}); + my_stations.add_edge(station_5, station_3, road{1725}); + my_stations.add_edge(station_6, station_3, road{88}); + my_stations.add_edge(station_1, station_5, road{77}); + my_stations.add_edge(station_5, station_2, road{93}); + my_stations.add_edge(station_5, station_6, road{193}); + my_stations.add_edge(station_7, station_8, road{5}); + + return {my_stations, station_1, station_3}; +} + +void print_shortest_path(const graaf::undirected_graph& graph, + const std::optional>& path, + const std::string& filepath) { + + auto shortest_path{path.value()}; + std::unordered_set + edges_on_shortest_path{}; + + graaf::vertex_id_t prev{shortest_path.vertices.front()}; + shortest_path.vertices.pop_front(); + for (const auto current : shortest_path.vertices) { + edges_on_shortest_path.insert(std::make_pair(prev, current)); + prev = current; + } + + const auto vertex_writer{ + [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { + const auto style{"solid"}; + return fmt::format("label=\"{}: {}\", style={}, color=black, fontcolor=black", + vertex.name, style); + }}; + + const auto edge_writer{[&edges_on_shortest_path]( + const graaf::edge_id_t& edge_id, + const auto& edge) -> std::string { + const auto style{"solid"}; + if (edges_on_shortest_path.contains({edge_id.first, edge_id.second}) || + edges_on_shortest_path.contains({edge_id.second, edge_id.first})) { + return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", + edge->length, style); + } + return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", + edge->length, style); + }}; + + const std::filesystem::path output{filepath}; + graaf::io::to_dot(graph, output, vertex_writer, edge_writer); +} + +using seen_vertices_t = std::unordered_multiset; +struct record_vertex_callback { + seen_vertices_t& seen_vertices; + + record_vertex_callback(seen_vertices_t& seen_vertices) + : seen_vertices{seen_vertices} {} + + void operator()(const graaf::vertex_id_t vertex) const { + seen_vertices.insert(vertex); + } +}; + +void print_visited_vertices(const graaf::undirected_graph& graph, + seen_vertices_t& seen, + const std::string& filepath) { + std::unordered_set seen_edges{}; + + for (const auto current : graph.get_edges()) { + const auto from = current.first.first; + const auto to = current.first.second; + if (seen.contains(from) && seen.contains(to)) + seen_edges.insert({from, to}); + } + + const auto vertex_writer{ + [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { + const auto style{"solid"}; + + return fmt::format( + "label=\"{}: {}\", style={}, color=gray, fontcolor=black", + vertex.name, style); + }}; + + const auto edge_writer{[&seen_edges](const graaf::edge_id_t& edge_id, + const auto& edge) -> std::string { + const auto style{"solid"}; + + if (seen_edges.contains({edge_id.first, edge_id.second}) || + seen_edges.contains({edge_id.second, edge_id.first})) + return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", + edge->length, style); + return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", + edge->length, style); + }}; + + const std::filesystem::path output{filepath}; + graaf::io::to_dot(graph, output, vertex_writer, edge_writer); +} + +int main() { + const auto [graph, start, target]{create_graph_with_start_and_target()}; + + const auto weighted_shortest_path{graaf::algorithm::get_shortest_path< + graaf::algorithm::edge_strategy::WEIGHTED, station, road, + graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); + + const auto unweighted_shortest_path{graaf::algorithm::get_shortest_path< + graaf::algorithm::edge_strategy::UNWEIGHTED, station, road, + graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); + + seen_vertices_t seen_vertices{}; + graaf::algorithm::traverse( + graph, start, record_vertex_callback{seen_vertices}); + print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); +} From 97ccea70f449122d20d2a6773033d64a03f6d978 Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 1 Aug 2023 23:20:15 +0300 Subject: [PATCH 05/26] - small fixes --- .../example_shortest_path_unweighted.png | Bin 56583 -> 60414 bytes .../example_shortest_path_weighted.png | Bin 56731 -> 60187 bytes 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target_include_directories(${PROJECT_NAME}_${EXAMPLE_NAME}_example PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/../include) diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index ef7a6445..e242bbfd 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -63,8 +63,8 @@ void print_shortest_path(const graaf::undirected_graph& graph, const auto vertex_writer{ [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { - const auto style{"solid"}; - return fmt::format("label=\"{}: {}\", style={}, color=black, fontcolor=black", + const auto style{"filled"}; + return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black, fillcolor=mediumspringgreen", vertex.name, style); }}; @@ -111,10 +111,10 @@ void print_visited_vertices(const graaf::undirected_graph& graph, const auto vertex_writer{ [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { - const auto style{"solid"}; + const auto style{"filled"}; return fmt::format( - "label=\"{}: {}\", style={}, color=gray, fontcolor=black", + "label=\"{}\", style={}, color=black, fontcolor=black, fillcolor=mediumspringgreen", vertex.name, style); }}; From 3e55e23289ff626af36168d33926f23103331670 Mon Sep 17 00:00:00 2001 From: Aleksandr Date: Wed, 2 Aug 2023 14:53:45 +0300 Subject: [PATCH 06/26] Update transport-example.md Corrected trailling slashes --- docs/docs/examples/example-basics/transport-example.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md index cecac7f6..e49a7226 100644 --- a/docs/docs/examples/example-basics/transport-example.md +++ b/docs/docs/examples/example-basics/transport-example.md @@ -11,7 +11,7 @@ Using the following graph:

 

- +

@@ -51,14 +51,14 @@ For shortest path, colouring edges with red to indicate the shortest path for bo Result of unweighted shortest path, chosen edges are coloured red
 

- +

Result of weighted shortest path, chosen edges are coloured red
 

- +

@@ -115,4 +115,4 @@ The last one is traversing the graph from a given vertex and printing the result graaf::algorithm::traverse( graph, start, record_vertex_callback{seen_vertices}); print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); -``` \ No newline at end of file +``` From 419b6630ba462c0554d24051eaf3febeb59db56b Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Sat, 5 Aug 2023 15:07:47 +0200 Subject: [PATCH 07/26] clang format fix --- examples/transport/main.cpp | 89 ++++++++++++++++++++----------------- 1 file changed, 48 insertions(+), 41 deletions(-) diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index e242bbfd..bff2f8e3 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -30,8 +30,10 @@ graph_with_start_and_target create_graph_with_start_and_target() { const auto station_4{my_stations.add_vertex(station{"GAZilla", 11.3})}; const auto station_5{my_stations.add_vertex(station{"Station 32", 73.12})}; const auto station_6{my_stations.add_vertex(station{"Last stop", 0.5})}; - const auto station_7{my_stations.add_vertex(station{"You won't reach it", 55.5})}; - const auto station_8{my_stations.add_vertex(station{"Went for lunch break", 66.5})}; + const auto station_7{ + my_stations.add_vertex(station{"You won't reach it", 55.5})}; + const auto station_8{ + my_stations.add_vertex(station{"Went for lunch break", 66.5})}; my_stations.add_edge(station_1, station_2, road{125}); my_stations.add_edge(station_2, station_4, road{205}); @@ -46,40 +48,42 @@ graph_with_start_and_target create_graph_with_start_and_target() { return {my_stations, station_1, station_3}; } -void print_shortest_path(const graaf::undirected_graph& graph, - const std::optional>& path, - const std::string& filepath) { +void print_shortest_path( + const graaf::undirected_graph& graph, + const std::optional>& path, + const std::string& filepath) { + auto shortest_path{path.value()}; + std::unordered_set + edges_on_shortest_path{}; + + graaf::vertex_id_t prev{shortest_path.vertices.front()}; + shortest_path.vertices.pop_front(); + for (const auto current : shortest_path.vertices) { + edges_on_shortest_path.insert(std::make_pair(prev, current)); + prev = current; + } - auto shortest_path{path.value()}; - std::unordered_set - edges_on_shortest_path{}; + const auto vertex_writer{ + [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { + const auto style{"filled"}; + return fmt::format( + "label=\"{}\", style={}, color=black, fontcolor=black, " + "fillcolor=mediumspringgreen", + vertex.name, style); + }}; - graaf::vertex_id_t prev{shortest_path.vertices.front()}; - shortest_path.vertices.pop_front(); - for (const auto current : shortest_path.vertices) { - edges_on_shortest_path.insert(std::make_pair(prev, current)); - prev = current; + const auto edge_writer{[&edges_on_shortest_path]( + const graaf::edge_id_t& edge_id, + const auto& edge) -> std::string { + const auto style{"solid"}; + if (edges_on_shortest_path.contains({edge_id.first, edge_id.second}) || + edges_on_shortest_path.contains({edge_id.second, edge_id.first})) { + return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", + edge->length, style); } - - const auto vertex_writer{ - [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { - const auto style{"filled"}; - return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black, fillcolor=mediumspringgreen", - vertex.name, style); - }}; - - const auto edge_writer{[&edges_on_shortest_path]( - const graaf::edge_id_t& edge_id, - const auto& edge) -> std::string { - const auto style{"solid"}; - if (edges_on_shortest_path.contains({edge_id.first, edge_id.second}) || - edges_on_shortest_path.contains({edge_id.second, edge_id.first})) { - return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", - edge->length, style); - } - return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", + return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", edge->length, style); - }}; + }}; const std::filesystem::path output{filepath}; graaf::io::to_dot(graph, output, vertex_writer, edge_writer); @@ -105,8 +109,7 @@ void print_visited_vertices(const graaf::undirected_graph& graph, for (const auto current : graph.get_edges()) { const auto from = current.first.first; const auto to = current.first.second; - if (seen.contains(from) && seen.contains(to)) - seen_edges.insert({from, to}); + if (seen.contains(from) && seen.contains(to)) seen_edges.insert({from, to}); } const auto vertex_writer{ @@ -114,9 +117,10 @@ void print_visited_vertices(const graaf::undirected_graph& graph, const auto style{"filled"}; return fmt::format( - "label=\"{}\", style={}, color=black, fontcolor=black, fillcolor=mediumspringgreen", + "label=\"{}\", style={}, color=black, fontcolor=black, " + "fillcolor=mediumspringgreen", vertex.name, style); - }}; + }}; const auto edge_writer{[&seen_edges](const graaf::edge_id_t& edge_id, const auto& edge) -> std::string { @@ -124,8 +128,8 @@ void print_visited_vertices(const graaf::undirected_graph& graph, if (seen_edges.contains({edge_id.first, edge_id.second}) || seen_edges.contains({edge_id.second, edge_id.first})) - return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", - edge->length, style); + return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", + edge->length, style); return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", edge->length, style); }}; @@ -140,15 +144,18 @@ int main() { const auto weighted_shortest_path{graaf::algorithm::get_shortest_path< graaf::algorithm::edge_strategy::WEIGHTED, station, road, graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; - print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); + print_shortest_path(graph, weighted_shortest_path, + "example_weighted_graph.dot"); const auto unweighted_shortest_path{graaf::algorithm::get_shortest_path< graaf::algorithm::edge_strategy::UNWEIGHTED, station, road, graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; - print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); + print_shortest_path(graph, unweighted_shortest_path, + "example_unwieghted_graph.dot"); seen_vertices_t seen_vertices{}; graaf::algorithm::traverse( graph, start, record_vertex_callback{seen_vertices}); - print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); + print_visited_vertices(graph, seen_vertices, + "example_traverse_BFS_graph.dot"); } From 7e459bffc2213f56c7de0b3e126d82a00c208049 Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Sat, 5 Aug 2023 23:28:13 +0200 Subject: [PATCH 08/26] reflect breaking changes on main --- .../example-basics/transport-example.md | 14 +++++------- examples/transport/main.cpp | 22 ++++++++----------- 2 files changed, 14 insertions(+), 22 deletions(-) diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md index e49a7226..bb8ee5b3 100644 --- a/docs/docs/examples/example-basics/transport-example.md +++ b/docs/docs/examples/example-basics/transport-example.md @@ -4,7 +4,7 @@ sidebar_position: 2 # Network Example The undirected_graph implemented in `graaf::undirected_graph` -The shortest path algorithm implemented in `graaf::algorithm::get_shortest_path` +The shortest path algorithms implemented in `graaf::algorithm::bfs_shortest_path` and `graaf::algorithm::dijkstra_shortest_path` The graph traversal implemented in `graaf::algorithm::graph_traversal` Using the following graph: @@ -65,7 +65,7 @@ Result of weighted shortest path, chosen edges are coloured red ```c++ void print_shortest_path(const graaf::undirected_graph& graph, - const std::optional>& path, const std::string & filepath) { + const std::optional>& path, const std::string & filepath) { ... } @@ -101,18 +101,14 @@ The last one is traversing the graph from a given vertex and printing the result ```c++ const auto [graph, start, target]{create_graph_with_start_and_target()}; - const auto weighted_shortest_path{graaf::algorithm::get_shortest_path< - graaf::algorithm::edge_strategy::WEIGHTED, station, road, - graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + const auto weighted_shortest_path{graaf::algorithm::dijkstra_shortest_path(graph, start, target)}; print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); - const auto unweighted_shortest_path{graaf::algorithm::get_shortest_path< - graaf::algorithm::edge_strategy::UNWEIGHTED, station, road, - graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + const auto unweighted_shortest_path{graaf::algorithm::bfs_shortest_path(graph, start, target)}; print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); seen_vertices_t seen_vertices{}; - graaf::algorithm::traverse( + graaf::algorithm::breadth_first_traverse( graph, start, record_vertex_callback{seen_vertices}); print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); ``` diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index bff2f8e3..f40abae1 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -3,7 +3,7 @@ #include #include #include -#include +#include struct station { std::string name{}; @@ -50,7 +50,7 @@ graph_with_start_and_target create_graph_with_start_and_target() { void print_shortest_path( const graaf::undirected_graph& graph, - const std::optional>& path, + const std::optional>& path, const std::string& filepath) { auto shortest_path{path.value()}; std::unordered_set @@ -79,10 +79,10 @@ void print_shortest_path( if (edges_on_shortest_path.contains({edge_id.first, edge_id.second}) || edges_on_shortest_path.contains({edge_id.second, edge_id.first})) { return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", - edge->length, style); + edge.length, style); } return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", - edge->length, style); + edge.length, style); }}; const std::filesystem::path output{filepath}; @@ -129,9 +129,9 @@ void print_visited_vertices(const graaf::undirected_graph& graph, if (seen_edges.contains({edge_id.first, edge_id.second}) || seen_edges.contains({edge_id.second, edge_id.first})) return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", - edge->length, style); + edge.length, style); return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", - edge->length, style); + edge.length, style); }}; const std::filesystem::path output{filepath}; @@ -141,20 +141,16 @@ void print_visited_vertices(const graaf::undirected_graph& graph, int main() { const auto [graph, start, target]{create_graph_with_start_and_target()}; - const auto weighted_shortest_path{graaf::algorithm::get_shortest_path< - graaf::algorithm::edge_strategy::WEIGHTED, station, road, - graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + const auto weighted_shortest_path{graaf::algorithm::dijkstra_shortest_path(graph, start, target)}; print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); - const auto unweighted_shortest_path{graaf::algorithm::get_shortest_path< - graaf::algorithm::edge_strategy::UNWEIGHTED, station, road, - graaf::graph_spec::UNDIRECTED, int>(graph, start, target)}; + const auto unweighted_shortest_path{graaf::algorithm::bfs_shortest_path(graph, start, target)}; print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); seen_vertices_t seen_vertices{}; - graaf::algorithm::traverse( + graaf::algorithm::breadth_first_traverse( graph, start, record_vertex_callback{seen_vertices}); print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); From 6fc3af0678bce37e3bd4e38b16dad5bfce8b8489 Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Sat, 5 Aug 2023 23:30:06 +0200 Subject: [PATCH 09/26] clang format fix --- examples/transport/main.cpp | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index f40abae1..332a64f0 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -1,9 +1,9 @@ #include #include #include +#include #include #include -#include struct station { std::string name{}; @@ -141,11 +141,13 @@ void print_visited_vertices(const graaf::undirected_graph& graph, int main() { const auto [graph, start, target]{create_graph_with_start_and_target()}; - const auto weighted_shortest_path{graaf::algorithm::dijkstra_shortest_path(graph, start, target)}; + const auto weighted_shortest_path{ + graaf::algorithm::dijkstra_shortest_path(graph, start, target)}; print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); - const auto unweighted_shortest_path{graaf::algorithm::bfs_shortest_path(graph, start, target)}; + const auto unweighted_shortest_path{ + graaf::algorithm::bfs_shortest_path(graph, start, target)}; print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); From 767a532d655b99fc7fb8799fa4ed37c89931c04a Mon Sep 17 00:00:00 2001 From: Hromz Date: Sat, 12 Aug 2023 23:02:42 +0300 Subject: [PATCH 10/26] - corrected according to git comments - relative railway example - corrected png files --- .../example-basics/transport-example.md | 20 ++-- .../example_shortest_path_unweighted.png | Bin 60414 -> 100225 bytes .../example_shortest_path_weighted.png | Bin 60187 -> 100463 bytes .../examples/example_traversed_graph_BFS.png | Bin 59640 -> 98355 bytes docs/static/img/examples/example_usage.png | Bin 60003 -> 99841 bytes examples/transport/main.cpp | 99 +++++++++++------- 6 files changed, 75 insertions(+), 44 deletions(-) diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md index bb8ee5b3..05d758ff 100644 --- a/docs/docs/examples/example-basics/transport-example.md +++ b/docs/docs/examples/example-basics/transport-example.md @@ -1,11 +1,12 @@ --- -sidebar_position: 2 +sidebar_position: 3 --- # Network Example -The undirected_graph implemented in `graaf::undirected_graph` -The shortest path algorithms implemented in `graaf::algorithm::bfs_shortest_path` and `graaf::algorithm::dijkstra_shortest_path` -The graph traversal implemented in `graaf::algorithm::graph_traversal` +This example showcases graph traversal and shortest path algorithms in an undirected graph network. As such, it demonstrates the usage of the following classes and algorithms: +- The undirected_graph implemented in `graaf::undirected_graph` +- The shortest path algorithm implemented in `graaf::algorithm::get_shortest_path` +- The graph traversal implemented in `graaf::algorithm::graph_traversal` Using the following graph: @@ -47,6 +48,7 @@ graph_with_start_and_target create_graph_with_start_and_target() { ## Visualizing graph traversal result For shortest path, colouring edges with red to indicate the shortest path for both weighted and unweighted graph +We need to specify the start and end vertices in order to find the shortest path between the start and end vertices. Result of unweighted shortest path, chosen edges are coloured red
@@ -62,7 +64,6 @@ Result of weighted shortest path, chosen edges are coloured red
 

- ```c++ void print_shortest_path(const graaf::undirected_graph& graph, const std::optional>& path, const std::string & filepath) { @@ -77,7 +78,7 @@ void print_visited_vertices(const graaf::undirected_graph& graph, ``` Creating a vertex callback structure that will be passed as an argument in the graph traverse function -The function is needed in order to be called inside the traverse function; see graph.tpp file lines 15 and 45 for context. +The function is needed in order to be called inside the traverse function; see graph.tpp for context. ```c++ using seen_vertices_t = std::unordered_multiset; @@ -93,6 +94,13 @@ struct record_vertex_callback { }; ``` +Result of shortest path BFS, visited edges are coloured red +
+

+ +

+
+ ### Graph example usage First code block: traversing a weighted graph for the shortest path (Dijkstra) and printing the result to *.dot file. 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zpf+_IFNo-M(N(C0U?~Ko+-ZS|dY%w`l06~$iujaJ*9T4y9fZpN`ur#5 g0l)|OP^Wk3&K&h2Mc;B?M8S`-(NV*)gVdY<1NITqng9R* diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index 332a64f0..057e0ee8 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -7,50 +7,72 @@ struct station { std::string name{}; - double gaz_capacity{}; }; -struct road { - int length{}; - int get_weight() { return length; } +struct railroad : public graaf::weighted_edge { + double kilometers{}; + [[nodiscard]] double get_weight() const noexcept override { return kilometers; } + railroad(double distance) : kilometers(distance) {} }; struct graph_with_start_and_target { - graaf::undirected_graph graph{}; + graaf::undirected_graph graph{}; graaf::vertex_id_t start{}; graaf::vertex_id_t target{}; }; graph_with_start_and_target create_graph_with_start_and_target() { - graaf::undirected_graph my_stations{}; - - const auto station_1{my_stations.add_vertex(station{"Road 66", 13.5})}; - const auto station_2{my_stations.add_vertex(station{"Long road", 7.3})}; - const auto station_3{my_stations.add_vertex(station{"Stop & Buy", 25.4})}; - const auto station_4{my_stations.add_vertex(station{"GAZilla", 11.3})}; - const auto station_5{my_stations.add_vertex(station{"Station 32", 73.12})}; - const auto station_6{my_stations.add_vertex(station{"Last stop", 0.5})}; - const auto station_7{ - my_stations.add_vertex(station{"You won't reach it", 55.5})}; - const auto station_8{ - my_stations.add_vertex(station{"Went for lunch break", 66.5})}; - - my_stations.add_edge(station_1, station_2, road{125}); - my_stations.add_edge(station_2, station_4, road{205}); - my_stations.add_edge(station_4, station_5, road{325}); - my_stations.add_edge(station_5, station_3, road{1725}); - my_stations.add_edge(station_6, station_3, road{88}); - my_stations.add_edge(station_1, station_5, road{77}); - my_stations.add_edge(station_5, station_2, road{93}); - my_stations.add_edge(station_5, station_6, road{193}); - my_stations.add_edge(station_7, station_8, road{5}); - - return {my_stations, station_1, station_3}; + graaf::undirected_graph my_stations{}; + + // Germany + const auto station_13{my_stations.add_vertex(station{"Hamburg"})}; + const auto station_12{my_stations.add_vertex(station{"Bremen"})}; + const auto station_3{my_stations.add_vertex(station{"Berlin Central Station"})}; + const auto station_4{my_stations.add_vertex(station{"Hannover Hauptbahnhof"})}; + const auto station_11{my_stations.add_vertex(station{"Dortmund"})}; + const auto station_5{my_stations.add_vertex(station{"Kassel Hbf"})}; + const auto station_2{my_stations.add_vertex(station{"Leipzig Central Station"})}; + const auto station_1{my_stations.add_vertex(station{"Dresden Central Station"})}; + const auto station_10{my_stations.add_vertex(station{"Cologne Hauptbahnhof"})}; + const auto station_9{my_stations.add_vertex(station{"Frankfurt Hauptbahnhof"})}; + const auto station_6{my_stations.add_vertex(station{"Nurnberg Central Station"})}; + const auto station_8{my_stations.add_vertex(station{"Stuttgart Central Station"})}; + const auto station_7{my_stations.add_vertex(station{"Munchen Hbf"})}; + + // Canada + const auto station_14{my_stations.add_vertex(station{"Edmonton central station"})}; + const auto station_15{my_stations.add_vertex(station{"Toronto Union Station"})}; + + my_stations.add_edge(station_1, station_2, railroad{357.3}); + my_stations.add_edge(station_1, station_3, railroad{730.67}); + my_stations.add_edge(station_3, station_4, railroad{533.3}); + my_stations.add_edge(station_2, station_5, railroad{693.3}); + my_stations.add_edge(station_2, station_4, railroad{1152}); + my_stations.add_edge(station_4, station_5, railroad{288}); + my_stations.add_edge(station_2, station_6, railroad{741.3}); + my_stations.add_edge(station_5, station_6, railroad{1464}); + my_stations.add_edge(station_7, station_6, railroad{432}); + my_stations.add_edge(station_7, station_8, railroad{930}); + my_stations.add_edge(station_8, station_6, railroad{1236}); + my_stations.add_edge(station_9, station_6, railroad{840}); + my_stations.add_edge(station_9, station_10, railroad{498}); + my_stations.add_edge(station_10, station_11, railroad{462}); + my_stations.add_edge(station_13, station_4, railroad{480}); + my_stations.add_edge(station_11, station_5, railroad{822}); + my_stations.add_edge(station_11, station_4, railroad{582}); + my_stations.add_edge(station_11, station_12, railroad{720}); + my_stations.add_edge(station_12, station_13, railroad{330}); + my_stations.add_edge(station_12, station_4, railroad{486}); + my_stations.add_edge(station_13, station_3, railroad{732}); + + my_stations.add_edge(station_14, station_15, railroad{9920}); + + return {my_stations, station_13, station_6}; } void print_shortest_path( - const graaf::undirected_graph& graph, - const std::optional>& path, + const graaf::undirected_graph& graph, + const std::optional>& path, const std::string& filepath) { auto shortest_path{path.value()}; std::unordered_set @@ -67,7 +89,7 @@ void print_shortest_path( [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { const auto style{"filled"}; return fmt::format( - "label=\"{}\", style={}, color=black, fontcolor=black, " + "label=\"{}\", style={}, color=black, fontcolor=black, shape=rectangle," "fillcolor=mediumspringgreen", vertex.name, style); }}; @@ -79,10 +101,10 @@ void print_shortest_path( if (edges_on_shortest_path.contains({edge_id.first, edge_id.second}) || edges_on_shortest_path.contains({edge_id.second, edge_id.first})) { return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", - edge.length, style); + edge.kilometers, style); } return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", - edge.length, style); + edge.kilometers, style); }}; const std::filesystem::path output{filepath}; @@ -101,7 +123,8 @@ struct record_vertex_callback { } }; -void print_visited_vertices(const graaf::undirected_graph& graph, +void print_visited_vertices( + const graaf::undirected_graph& graph, seen_vertices_t& seen, const std::string& filepath) { std::unordered_set seen_edges{}; @@ -117,7 +140,7 @@ void print_visited_vertices(const graaf::undirected_graph& graph, const auto style{"filled"}; return fmt::format( - "label=\"{}\", style={}, color=black, fontcolor=black, " + "label=\"{}\", style={}, color=black, fontcolor=black, shape=rectangle," "fillcolor=mediumspringgreen", vertex.name, style); }}; @@ -129,9 +152,9 @@ void print_visited_vertices(const graaf::undirected_graph& graph, if (seen_edges.contains({edge_id.first, edge_id.second}) || seen_edges.contains({edge_id.second, edge_id.first})) return fmt::format("label=\"{}\", style={}, color=red, fontcolor=black", - edge.length, style); + edge.kilometers, style); return fmt::format("label=\"{}\", style={}, color=black, fontcolor=black", - edge.length, style); + edge.kilometers, style); }}; const std::filesystem::path output{filepath}; From 8ebb5f4aa992eff84c1b0f5773f5c34dcfb16081 Mon Sep 17 00:00:00 2001 From: Hromz Date: Sat, 12 Aug 2023 23:31:48 +0300 Subject: [PATCH 11/26] small fixes --- examples/transport/main.cpp | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index 057e0ee8..7bb01bc9 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -13,6 +13,7 @@ struct railroad : public graaf::weighted_edge { double kilometers{}; [[nodiscard]] double get_weight() const noexcept override { return kilometers; } railroad(double distance) : kilometers(distance) {} + ~railroad() {} }; struct graph_with_start_and_target { @@ -24,7 +25,7 @@ struct graph_with_start_and_target { graph_with_start_and_target create_graph_with_start_and_target() { graaf::undirected_graph my_stations{}; - // Germany + // Germany railway stations const auto station_13{my_stations.add_vertex(station{"Hamburg"})}; const auto station_12{my_stations.add_vertex(station{"Bremen"})}; const auto station_3{my_stations.add_vertex(station{"Berlin Central Station"})}; @@ -39,7 +40,7 @@ graph_with_start_and_target create_graph_with_start_and_target() { const auto station_8{my_stations.add_vertex(station{"Stuttgart Central Station"})}; const auto station_7{my_stations.add_vertex(station{"Munchen Hbf"})}; - // Canada + // Canada stations const auto station_14{my_stations.add_vertex(station{"Edmonton central station"})}; const auto station_15{my_stations.add_vertex(station{"Toronto Union Station"})}; From ffe4553e0eeedca643dfe398981773b67726fcae Mon Sep 17 00:00:00 2001 From: Hromz Date: Sun, 13 Aug 2023 00:03:31 +0300 Subject: [PATCH 12/26] small fixes --- .../example-basics/transport-example.md | 43 ++++--- examples/transport/main.cpp | 121 ++++++++++-------- 2 files changed, 91 insertions(+), 73 deletions(-) diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md index 05d758ff..ff09f360 100644 --- a/docs/docs/examples/example-basics/transport-example.md +++ b/docs/docs/examples/example-basics/transport-example.md @@ -20,14 +20,16 @@ Custom vertex and edge. In order to use Dijkstra, we should provide the get_weig ```c++ struct station { - int id{}; - std::string name{}; - double gaz_capacity{}; + std::string name{}; }; -struct road { - int length{}; - int get_weight() { return length; } +struct railroad : public graaf::weighted_edge { + double kilometers{}; + [[nodiscard]] double get_weight() const noexcept override { + return kilometers; + } + railroad(double distance) : kilometers(distance) {} + ~railroad() {} }; ``` @@ -107,16 +109,21 @@ Second code block: traversing an unweighted graph for the shortest path and prin The last one is traversing the graph from a given vertex and printing the result to *.dot file. ```c++ - const auto [graph, start, target]{create_graph_with_start_and_target()}; - - const auto weighted_shortest_path{graaf::algorithm::dijkstra_shortest_path(graph, start, target)}; - print_shortest_path(graph, weighted_shortest_path, "example_weighted_graph.dot"); - - const auto unweighted_shortest_path{graaf::algorithm::bfs_shortest_path(graph, start, target)}; - print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); - - seen_vertices_t seen_vertices{}; - graaf::algorithm::breadth_first_traverse( - graph, start, record_vertex_callback{seen_vertices}); - print_visited_vertices(graph, seen_vertices, "example_traverse_BFS_graph.dot"); + const auto [graph, start, target]{create_graph_with_start_and_target()}; + + const auto weighted_shortest_path{ + graaf::algorithm::dijkstra_shortest_path(graph, start, target)}; + print_shortest_path(graph, weighted_shortest_path, + "example_weighted_graph.dot"); + + const auto unweighted_shortest_path{ + graaf::algorithm::bfs_shortest_path(graph, start, target)}; + print_shortest_path(graph, unweighted_shortest_path, + "example_unwieghted_graph.dot"); + + seen_vertices_t seen_vertices{}; + graaf::algorithm::breadth_first_traverse( + graph, start, record_vertex_callback{seen_vertices}); + print_visited_vertices(graph, seen_vertices, + "example_traverse_BFS_graph.dot"); ``` diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index 7bb01bc9..db5c1ce7 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -11,7 +11,9 @@ struct station { struct railroad : public graaf::weighted_edge { double kilometers{}; - [[nodiscard]] double get_weight() const noexcept override { return kilometers; } + [[nodiscard]] double get_weight() const noexcept override { + return kilometers; + } railroad(double distance) : kilometers(distance) {} ~railroad() {} }; @@ -28,45 +30,55 @@ graph_with_start_and_target create_graph_with_start_and_target() { // Germany railway stations const auto station_13{my_stations.add_vertex(station{"Hamburg"})}; const auto station_12{my_stations.add_vertex(station{"Bremen"})}; - const auto station_3{my_stations.add_vertex(station{"Berlin Central Station"})}; - const auto station_4{my_stations.add_vertex(station{"Hannover Hauptbahnhof"})}; + const auto station_3{ + my_stations.add_vertex(station{"Berlin Central Station"})}; + const auto station_4{ + my_stations.add_vertex(station{"Hannover Hauptbahnhof"})}; const auto station_11{my_stations.add_vertex(station{"Dortmund"})}; const auto station_5{my_stations.add_vertex(station{"Kassel Hbf"})}; - const auto station_2{my_stations.add_vertex(station{"Leipzig Central Station"})}; - const auto station_1{my_stations.add_vertex(station{"Dresden Central Station"})}; - const auto station_10{my_stations.add_vertex(station{"Cologne Hauptbahnhof"})}; - const auto station_9{my_stations.add_vertex(station{"Frankfurt Hauptbahnhof"})}; - const auto station_6{my_stations.add_vertex(station{"Nurnberg Central Station"})}; - const auto station_8{my_stations.add_vertex(station{"Stuttgart Central Station"})}; + const auto station_2{ + my_stations.add_vertex(station{"Leipzig Central Station"})}; + const auto station_1{ + my_stations.add_vertex(station{"Dresden Central Station"})}; + const auto station_10{ + my_stations.add_vertex(station{"Cologne Hauptbahnhof"})}; + const auto station_9{ + my_stations.add_vertex(station{"Frankfurt Hauptbahnhof"})}; + const auto station_6{ + my_stations.add_vertex(station{"Nurnberg Central Station"})}; + const auto station_8{ + my_stations.add_vertex(station{"Stuttgart Central Station"})}; const auto station_7{my_stations.add_vertex(station{"Munchen Hbf"})}; - - // Canada stations - const auto station_14{my_stations.add_vertex(station{"Edmonton central station"})}; - const auto station_15{my_stations.add_vertex(station{"Toronto Union Station"})}; - - my_stations.add_edge(station_1, station_2, railroad{357.3}); - my_stations.add_edge(station_1, station_3, railroad{730.67}); - my_stations.add_edge(station_3, station_4, railroad{533.3}); - my_stations.add_edge(station_2, station_5, railroad{693.3}); - my_stations.add_edge(station_2, station_4, railroad{1152}); - my_stations.add_edge(station_4, station_5, railroad{288}); - my_stations.add_edge(station_2, station_6, railroad{741.3}); - my_stations.add_edge(station_5, station_6, railroad{1464}); - my_stations.add_edge(station_7, station_6, railroad{432}); - my_stations.add_edge(station_7, station_8, railroad{930}); - my_stations.add_edge(station_8, station_6, railroad{1236}); - my_stations.add_edge(station_9, station_6, railroad{840}); - my_stations.add_edge(station_9, station_10, railroad{498}); - my_stations.add_edge(station_10, station_11, railroad{462}); - my_stations.add_edge(station_13, station_4, railroad{480}); - my_stations.add_edge(station_11, station_5, railroad{822}); - my_stations.add_edge(station_11, station_4, railroad{582}); - my_stations.add_edge(station_11, station_12, railroad{720}); - my_stations.add_edge(station_12, station_13, railroad{330}); - my_stations.add_edge(station_12, station_4, railroad{486}); - my_stations.add_edge(station_13, station_3, railroad{732}); - - my_stations.add_edge(station_14, station_15, railroad{9920}); + + // Canada railway stations + const auto station_14{ + my_stations.add_vertex(station{"Edmonton central station"})}; + const auto station_15{ + my_stations.add_vertex(station{"Toronto Union Station"})}; + + my_stations.add_edge(station_1, station_2, 357.3); + my_stations.add_edge(station_1, station_3, 730.67); + my_stations.add_edge(station_3, station_4, 533.3); + my_stations.add_edge(station_2, station_5, 693.3); + my_stations.add_edge(station_2, station_4, 1152); + my_stations.add_edge(station_4, station_5, 288); + my_stations.add_edge(station_2, station_6, 741.3); + my_stations.add_edge(station_5, station_6, 1464); + my_stations.add_edge(station_7, station_6, 432); + my_stations.add_edge(station_7, station_8, 930); + my_stations.add_edge(station_8, station_6, 1236); + my_stations.add_edge(station_9, station_6, 840); + my_stations.add_edge(station_9, station_10, 498); + my_stations.add_edge(station_10, station_11, 462); + my_stations.add_edge(station_13, station_4, 480); + my_stations.add_edge(station_11, station_5, 822); + my_stations.add_edge(station_11, station_4, 582); + my_stations.add_edge(station_11, station_12, 720); + my_stations.add_edge(station_12, station_13, 330); + my_stations.add_edge(station_12, station_4, 486); + my_stations.add_edge(station_13, station_3, 732); + + my_stations.add_edge(station_14, station_15, 9920); return {my_stations, station_13, station_6}; } @@ -86,14 +98,14 @@ void print_shortest_path( prev = current; } - const auto vertex_writer{ - [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { - const auto style{"filled"}; - return fmt::format( - "label=\"{}\", style={}, color=black, fontcolor=black, shape=rectangle," - "fillcolor=mediumspringgreen", - vertex.name, style); - }}; + const auto vertex_writer{[](graaf::vertex_id_t vertex_id, + station vertex) -> std::string { + const auto style{"filled"}; + return fmt::format( + "label=\"{}\", style={}, color=black, fontcolor=black, shape=rectangle," + "fillcolor=mediumspringgreen", + vertex.name, style); + }}; const auto edge_writer{[&edges_on_shortest_path]( const graaf::edge_id_t& edge_id, @@ -126,8 +138,7 @@ struct record_vertex_callback { void print_visited_vertices( const graaf::undirected_graph& graph, - seen_vertices_t& seen, - const std::string& filepath) { + seen_vertices_t& seen, const std::string& filepath) { std::unordered_set seen_edges{}; for (const auto current : graph.get_edges()) { @@ -136,15 +147,15 @@ void print_visited_vertices( if (seen.contains(from) && seen.contains(to)) seen_edges.insert({from, to}); } - const auto vertex_writer{ - [](graaf::vertex_id_t vertex_id, station vertex) -> std::string { - const auto style{"filled"}; + const auto vertex_writer{[](graaf::vertex_id_t vertex_id, + station vertex) -> std::string { + const auto style{"filled"}; - return fmt::format( - "label=\"{}\", style={}, color=black, fontcolor=black, shape=rectangle," - "fillcolor=mediumspringgreen", - vertex.name, style); - }}; + return fmt::format( + "label=\"{}\", style={}, color=black, fontcolor=black, shape=rectangle," + "fillcolor=mediumspringgreen", + vertex.name, style); + }}; const auto edge_writer{[&seen_edges](const graaf::edge_id_t& edge_id, const auto& edge) -> std::string { From ce5df25c62a054b5025a0b038c9af8c3089ae47e Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Sun, 13 Aug 2023 13:43:36 +0200 Subject: [PATCH 13/26] fix issues after merge --- .../example-basics/transport-example.md | 24 +++++++-------- examples/transport/main.cpp | 30 ++++++++----------- 2 files changed, 24 insertions(+), 30 deletions(-) diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md index ff09f360..0c060d02 100644 --- a/docs/docs/examples/example-basics/transport-example.md +++ b/docs/docs/examples/example-basics/transport-example.md @@ -79,20 +79,20 @@ void print_visited_vertices(const graaf::undirected_graph& graph, } ``` -Creating a vertex callback structure that will be passed as an argument in the graph traverse function +Creating an edge callback structure that will be passed as an argument in the graph traverse function The function is needed in order to be called inside the traverse function; see graph.tpp for context. ```c++ -using seen_vertices_t = std::unordered_multiset; -struct record_vertex_callback { - seen_vertices_t& seen_vertices; +using seen_edges_t = std::unordered_set; +struct record_edges_callback { + seen_edges_t& seen_edges; - record_vertex_callback(seen_vertices_t& seen_vertices) - : seen_vertices{seen_vertices} {} + record_edges_callback(seen_edges_t& seen_edges) + : seen_edges{seen_edges} {} - void operator()(const graaf::vertex_id_t vertex) const { - seen_vertices.insert(vertex); - } + void operator()(const graaf::edge_id_t& edge) const { + seen_edges.insert(edge); + } }; ``` @@ -121,9 +121,9 @@ The last one is traversing the graph from a given vertex and printing the result print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); - seen_vertices_t seen_vertices{}; + seen_edges_t seen_edges{}; graaf::algorithm::breadth_first_traverse( - graph, start, record_vertex_callback{seen_vertices}); - print_visited_vertices(graph, seen_vertices, + graph, start, record_edges_callback{seen_edges}); + print_visited_vertices(graph, seen_edges, "example_traverse_BFS_graph.dot"); ``` diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index db5c1ce7..6578192f 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -4,6 +4,7 @@ #include #include #include +#include struct station { std::string name{}; @@ -124,28 +125,21 @@ void print_shortest_path( graaf::io::to_dot(graph, output, vertex_writer, edge_writer); } -using seen_vertices_t = std::unordered_multiset; -struct record_vertex_callback { - seen_vertices_t& seen_vertices; +using seen_edges_t = std::unordered_set; +struct record_edges_callback { + seen_edges_t& seen_edges; - record_vertex_callback(seen_vertices_t& seen_vertices) - : seen_vertices{seen_vertices} {} + record_edges_callback(seen_edges_t& seen_edges) + : seen_edges{seen_edges} {} - void operator()(const graaf::vertex_id_t vertex) const { - seen_vertices.insert(vertex); + void operator()(const graaf::edge_id_t& edge) const { + seen_edges.insert(edge); } }; void print_visited_vertices( const graaf::undirected_graph& graph, - seen_vertices_t& seen, const std::string& filepath) { - std::unordered_set seen_edges{}; - - for (const auto current : graph.get_edges()) { - const auto from = current.first.first; - const auto to = current.first.second; - if (seen.contains(from) && seen.contains(to)) seen_edges.insert({from, to}); - } + seen_edges_t& seen_edges, const std::string& filepath) { const auto vertex_writer{[](graaf::vertex_id_t vertex_id, station vertex) -> std::string { @@ -186,9 +180,9 @@ int main() { print_shortest_path(graph, unweighted_shortest_path, "example_unwieghted_graph.dot"); - seen_vertices_t seen_vertices{}; + seen_edges_t seen_edges{}; graaf::algorithm::breadth_first_traverse( - graph, start, record_vertex_callback{seen_vertices}); - print_visited_vertices(graph, seen_vertices, + graph, start, record_edges_callback{seen_edges}); + print_visited_vertices(graph, seen_edges, "example_traverse_BFS_graph.dot"); } From 1c82f04376563fb39698c60d12ab3918f809b190 Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Sun, 13 Aug 2023 13:44:33 +0200 Subject: [PATCH 14/26] fix syntax highlighting code blocks --- docs/docs/examples/example-basics/transport-example.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/docs/docs/examples/example-basics/transport-example.md b/docs/docs/examples/example-basics/transport-example.md index 0c060d02..cd429e7f 100644 --- a/docs/docs/examples/example-basics/transport-example.md +++ b/docs/docs/examples/example-basics/transport-example.md @@ -18,7 +18,7 @@ Using the following graph: Custom vertex and edge. In order to use Dijkstra, we should provide the get_weight() function for the edge. -```c++ +```cpp struct station { std::string name{}; }; @@ -36,7 +36,7 @@ struct railroad : public graaf::weighted_edge { # Initializing graph, start and end vertecies First, we create data structure and initializing graph with vertices and edges -```c++ +```cpp struct graph_with_start_and_target { graaf::undirected_graph graph{}; graaf::vertex_id_t start{}; @@ -66,7 +66,7 @@ Result of weighted shortest path, chosen edges are coloured red

-```c++ +```cpp void print_shortest_path(const graaf::undirected_graph& graph, const std::optional>& path, const std::string & filepath) { ... @@ -82,7 +82,7 @@ void print_visited_vertices(const graaf::undirected_graph& graph, Creating an edge callback structure that will be passed as an argument in the graph traverse function The function is needed in order to be called inside the traverse function; see graph.tpp for context. -```c++ +```cpp using seen_edges_t = std::unordered_set; struct record_edges_callback { seen_edges_t& seen_edges; @@ -108,7 +108,7 @@ First code block: traversing a weighted graph for the shortest path (Dijkstra) a Second code block: traversing an unweighted graph for the shortest path and printing the result to *.dot file. The last one is traversing the graph from a given vertex and printing the result to *.dot file. -```c++ +```cpp const auto [graph, start, target]{create_graph_with_start_and_target()}; const auto weighted_shortest_path{ From 1c644a0edba76d813dd293eef0154f9756187ecf Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Sun, 13 Aug 2023 13:53:44 +0200 Subject: [PATCH 15/26] clang format --- examples/transport/main.cpp | 12 +++++------- 1 file changed, 5 insertions(+), 7 deletions(-) diff --git a/examples/transport/main.cpp b/examples/transport/main.cpp index 6578192f..aa2c9b41 100644 --- a/examples/transport/main.cpp +++ b/examples/transport/main.cpp @@ -4,6 +4,7 @@ #include #include #include + #include struct station { @@ -129,8 +130,7 @@ using seen_edges_t = std::unordered_set; struct record_edges_callback { seen_edges_t& seen_edges; - record_edges_callback(seen_edges_t& seen_edges) - : seen_edges{seen_edges} {} + record_edges_callback(seen_edges_t& seen_edges) : seen_edges{seen_edges} {} void operator()(const graaf::edge_id_t& edge) const { seen_edges.insert(edge); @@ -140,7 +140,6 @@ struct record_edges_callback { void print_visited_vertices( const graaf::undirected_graph& graph, seen_edges_t& seen_edges, const std::string& filepath) { - const auto vertex_writer{[](graaf::vertex_id_t vertex_id, station vertex) -> std::string { const auto style{"filled"}; @@ -181,8 +180,7 @@ int main() { "example_unwieghted_graph.dot"); seen_edges_t seen_edges{}; - graaf::algorithm::breadth_first_traverse( - graph, start, record_edges_callback{seen_edges}); - print_visited_vertices(graph, seen_edges, - "example_traverse_BFS_graph.dot"); + graaf::algorithm::breadth_first_traverse(graph, start, + record_edges_callback{seen_edges}); + print_visited_vertices(graph, seen_edges, "example_traverse_BFS_graph.dot"); } From c05cd278819d351b822bcfc975fa3eacae962357 Mon Sep 17 00:00:00 2001 From: Hromz Date: Fri, 18 Aug 2023 19:58:20 +0300 Subject: [PATCH 16/26] - Added MST algorithm - Added test cases and docs --- README.md | 1 + .../shortest-path/minimum_spanning_tree.md | 60 +++++ .../algorithm/minimum_spanning_tree.h | 20 ++ .../algorithm/minimum_spanning_tree.tpp | 101 +++++++++ .../algorithm/minimum_spanning_tree_test.cpp | 208 ++++++++++++++++++ 5 files changed, 390 insertions(+) create mode 100644 docs/docs/algorithms/shortest-path/minimum_spanning_tree.md create mode 100644 include/graaflib/algorithm/minimum_spanning_tree.h create mode 100644 include/graaflib/algorithm/minimum_spanning_tree.tpp create mode 100644 test/graaflib/algorithm/minimum_spanning_tree_test.cpp diff --git a/README.md b/README.md index 08a2998a..20fe22b4 100644 --- a/README.md +++ b/README.md @@ -81,6 +81,7 @@ Algorithms implemented in the Graaf library include the following. For more info - BFS-Based Shortest Path - Dijkstra - Bellman-Ford + - Minimum spanning tree (MST) 3. [**Cycle Detection Algorithms**](https://bobluppes.github.io/graaf/docs/category/cycle-detection-algorithms): - DFS-Based Cycle Detection diff --git a/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md b/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md new file mode 100644 index 00000000..dffc8848 --- /dev/null +++ b/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md @@ -0,0 +1,60 @@ +--- +sidebar_position: 4 +--- + +# Minimum spanning tree (MST) or minimum spanning forest +Kruskal's algorithm finds the minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. +The algorithm is implemented with disjoint set union and finding minimum weighted edges. +Worst-case performance is `O(|E|log|V|)`, where `|E|` is the number of edges and `|V|` is the number of vertices in the +graph. Memory usage is `O(V+E)` for maintaining vertices (DSU) and edges. + +[wikipedia](https://en.wikipedia.org/wiki/Kruskal%27s_algorithm) + +## Syntax + +Calculates the shortest path with the minimum edge sum. + +```cpp +template +[[nodiscard]] std::vector kruskal_minimum_spanning_tree( + const graph& graph); +``` + +- **graph** The graph to extract MST or MSF. +- **return** Returns a vector of edges that form MST if the graph is connected, otherwise it returns the minimum spanning forest. + +### Special case +In case of multiply edges with same weight leading to a vertex, prioritizing vertices with lesser vertex number. + +```cpp +std::sort(edges_to_process.begin(), edges_to_process.end(), + [](detail::edge_to_process& e1, + detail::edge_to_process& e2) { + if (e1 != e2) + return e1.get_weight() < e2.get_weight(); + return e1.vertex_a < e2.vertex_a || e1.vertex_b < e2.vertex_b; + }); +``` + +For custom type edge, we should provide < and != operators + +```cpp +struct custom_edge : public graaf::weighted_edge { + public: + int weight_{}; + + [[nodiscard]] int get_weight() const noexcept override { return weight_; } + + custom_edge(int weight): weight_{weight} {}; + custom_edge(){}; + ~custom_edge(){}; + + // Providing '<' and '!=' operators for sorting edges + bool operator<(const custom_edge& e) const noexcept { + return this->weight_ < e.weight_; + } + bool operator!=(const custom_edge& e) const noexcept { + return this->weight_ != e.weight_; + } +}; +``` diff --git a/include/graaflib/algorithm/minimum_spanning_tree.h b/include/graaflib/algorithm/minimum_spanning_tree.h new file mode 100644 index 00000000..e3acfd6a --- /dev/null +++ b/include/graaflib/algorithm/minimum_spanning_tree.h @@ -0,0 +1,20 @@ +#pragma once + +#include + +namespace graaf::algorithm { +/** + * Computes the minimum spanning tree (MST) or minimum spanning forest of a + * graph using Kruskal's algorithm. + * + * @tparam V The vertex type of the graph. + * @tparam E The edge type of the graph. + * @param graph The input graph. + * @return A vector of edges forming the MST or minimum spanning forest. + */ +template +[[nodiscard]] std::vector kruskal_minimum_spanning_tree( + const graph& graph); + +}; // namespace graaf::algorithm +#include "minimum_spanning_tree.tpp" \ No newline at end of file diff --git a/include/graaflib/algorithm/minimum_spanning_tree.tpp b/include/graaflib/algorithm/minimum_spanning_tree.tpp new file mode 100644 index 00000000..f0998918 --- /dev/null +++ b/include/graaflib/algorithm/minimum_spanning_tree.tpp @@ -0,0 +1,101 @@ +#pragma once + +#include +#include +#include + +namespace graaf::algorithm { + +// Disjoint Set Union to maintain sets of vertices +namespace detail { +void do_make_set(vertex_id_t v, + std::unordered_map& parent, + std::unordered_map& rank) { + parent[v] = v; + rank[v] = 0; +} + +vertex_id_t do_find_set(vertex_id_t vertex, + std::unordered_map& parent) { + if (vertex == parent[vertex]) { + return vertex; + } + return parent[vertex] = do_find_set(parent[vertex], parent); +} + +void do_merge_sets(vertex_id_t vertex_a, vertex_id_t vertex_b, + std::unordered_map& parent, + std::unordered_map& rank) { + vertex_a = do_find_set(vertex_a, parent); + vertex_b = do_find_set(vertex_b, parent); + + if (vertex_a != vertex_b) { + if (rank[vertex_a] < rank[vertex_b]) { + std::swap(vertex_a, vertex_b); + } + parent[vertex_b] = vertex_a; + + if (rank[vertex_a] == rank[vertex_b]) { + ++rank[vertex_a]; + } + } +} + +template +struct edge_to_process : public weighted_edge { + public: + vertex_id_t vertex_a, vertex_b; + T weight_; + + [[nodiscard]] T get_weight() const noexcept override { return weight_; } + + edge_to_process(vertex_id_t vertex_u, vertex_id_t vertex_w, + T weight) + : vertex_a{vertex_u}, vertex_b{vertex_w}, weight_{weight} {}; + edge_to_process(){}; + ~edge_to_process(){}; + + bool operator!=(const edge_to_process& e) const noexcept { + return this->weight_ != e.weight_; + } +}; +}; // namespace detail + +template +std::vector kruskal_minimum_spanning_tree( + const graph& graph) { + + // unordered_map in case of deletion of vertices + std::unordered_map rank, parent; + std::vector> edges_to_process{}; + std::vector mst_edges{}; + + for (const auto& vertex : graph.get_vertices()) { + detail::do_make_set(vertex.first, parent, rank); + } + for (const auto& edge : graph.get_edges()) { + edges_to_process.push_back({edge.first.first, edge.first.second, edge.second}); + } + + std::sort(edges_to_process.begin(), edges_to_process.end(), + [](detail::edge_to_process& e1, + detail::edge_to_process& e2) { + if (e1 != e2) + return e1.get_weight() < e2.get_weight(); + return e1.vertex_a < e2.vertex_a || e1.vertex_b < e2.vertex_b; + }); + + for (const auto& edge : edges_to_process) { + if (detail::do_find_set(edge.vertex_a, parent) != + detail::do_find_set(edge.vertex_b, parent)) { + mst_edges.push_back({edge.vertex_a, edge.vertex_b}); + detail::do_merge_sets(edge.vertex_a, edge.vertex_b, parent, rank); + } + // Found MST E == V - 1 + if (mst_edges.size() == graph.vertex_count() - 1) + return mst_edges; + } + // Returns minimum spanning forest + return mst_edges; +} +}; // namespace graaf::algorithm diff --git a/test/graaflib/algorithm/minimum_spanning_tree_test.cpp b/test/graaflib/algorithm/minimum_spanning_tree_test.cpp new file mode 100644 index 00000000..04b49f12 --- /dev/null +++ b/test/graaflib/algorithm/minimum_spanning_tree_test.cpp @@ -0,0 +1,208 @@ +#include +#include +#include +#include +#include + +#include +#include + +namespace graaf::algorithm { + +template +class my_weighted_edge : public weighted_edge { + public: + explicit my_weighted_edge(T weight) : weight_{weight} {} + + [[nodiscard]] T get_weight() const noexcept override { return weight_; } + + private: + T weight_{}; +}; + +template +struct MSTTest : public testing::Test { + using edge_t = typename T::second_type; +}; + +using weighted_graph_types = testing::Types< + /** + * Primitive edge type undirected graph + */ + std::pair, int>, + std::pair, unsigned long>, + std::pair, float>, + std::pair, long double>, + + /** + * Non primitive weighted edge type undirected graph + */ + std::pair>, + my_weighted_edge>, + std::pair>, + my_weighted_edge>, + std::pair>, + my_weighted_edge>, + std::pair>, + my_weighted_edge>>; + +TYPED_TEST_SUITE(MSTTest, weighted_graph_types); + +TYPED_TEST(MSTTest, SparseGraph) { + undirected_graph graph{}; + const auto vertex_1 = graph.add_vertex(1); + const auto vertex_2 = graph.add_vertex(2); + const auto vertex_3 = graph.add_vertex(3); + const auto vertex_4 = graph.add_vertex(4); + + graph.add_edge(vertex_3, vertex_1, 4); + graph.add_edge(vertex_2, vertex_4, 6); + graph.add_edge(vertex_3, vertex_4, 5); + graph.add_edge(vertex_1, vertex_2, 15); + + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector expected_mst{ + {vertex_1, vertex_3}, {vertex_3, vertex_4}, {vertex_2, vertex_4}}; + + ASSERT_EQ(expected_mst, mst); +} + +TYPED_TEST(MSTTest, TwoComponents) { + undirected_graph graph{}; + + const auto vertex_1 = graph.add_vertex(1); + const auto vertex_2 = graph.add_vertex(2); + const auto vertex_3 = graph.add_vertex(3); + const auto vertex_4 = graph.add_vertex(4); + + const auto vertex_5 = graph.add_vertex(5); + const auto vertex_6 = graph.add_vertex(6); + const auto vertex_7 = graph.add_vertex(7); + const auto vertex_8 = graph.add_vertex(8); + const auto vertex_9 = graph.add_vertex(9); + + graph.add_edge(vertex_3, vertex_1, 0.3f); + graph.add_edge(vertex_2, vertex_4, 0.14f); + graph.add_edge(vertex_3, vertex_4, -5.3f); + graph.add_edge(vertex_1, vertex_2, 223.0f); + + graph.add_edge(vertex_5, vertex_6, 2.0f); + graph.add_edge(vertex_7, vertex_8, 4.0f); + graph.add_edge(vertex_9, vertex_8, -23.0f); + graph.add_edge(vertex_6, vertex_9, 3.0f); + graph.add_edge(vertex_8, vertex_6, 0.15f); + + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector expected_mst {{vertex_8, vertex_9}, + {vertex_3, vertex_4}, + {vertex_2, vertex_4}, + {vertex_6, vertex_8}, + {vertex_1, vertex_3}, + {vertex_5, vertex_6}, + {vertex_7, vertex_8}}; + + ASSERT_EQ(expected_mst, mst); +} + +TYPED_TEST(MSTTest, EqualEdgeWeight) { + undirected_graph graph{}; + const auto vertex_1 = graph.add_vertex(1); + const auto vertex_2 = graph.add_vertex(2); + const auto vertex_3 = graph.add_vertex(3); + const auto vertex_4 = graph.add_vertex(4); + + graph.add_edge(vertex_3, vertex_1, 5); + graph.add_edge(vertex_2, vertex_4, 5); + graph.add_edge(vertex_3, vertex_4, 5); + graph.add_edge(vertex_1, vertex_2, 5); + graph.add_edge(vertex_4, vertex_1, 5); + + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector expected_mst{ + {vertex_1, vertex_2}, {vertex_1, vertex_3}, {vertex_1, vertex_4}}; + + ASSERT_EQ(expected_mst, mst); +} + +TYPED_TEST(MSTTest, CompleteGraph) { + undirected_graph graph{}; + const auto vertex_1 = graph.add_vertex(1); + const auto vertex_2 = graph.add_vertex(2); + const auto vertex_3 = graph.add_vertex(3); + const auto vertex_4 = graph.add_vertex(4); + + graph.add_edge(vertex_1, vertex_2, 35); + graph.add_edge(vertex_1, vertex_3, 4); + graph.add_edge(vertex_1, vertex_4, 45); + graph.add_edge(vertex_2, vertex_4, 6); + graph.add_edge(vertex_2, vertex_3, 55); + graph.add_edge(vertex_3, vertex_4, 5); + + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector expected_mst{ + {vertex_1, vertex_3}, {vertex_3, vertex_4}, {vertex_2, vertex_4}}; + + ASSERT_EQ(expected_mst, mst); +} + +TYPED_TEST(MSTTest, NullGraph) { + undirected_graph graph{}; + + const auto vertex_1 = graph.add_vertex(1); + const auto vertex_2 = graph.add_vertex(2); + const auto vertex_3 = graph.add_vertex(3); + const auto vertex_4 = graph.add_vertex(4); + + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector example_mst{ + {vertex_3, vertex_4}, {vertex_2, vertex_4}, {vertex_1, vertex_3}}; + + ASSERT_NE(example_mst, mst); +} + +struct custom_vertex { + int vertex_{}; + std::string name{}; +}; + +struct custom_edge : public graaf::weighted_edge { + public: + int weight_{}; + + [[nodiscard]] int get_weight() const noexcept override { return weight_; } + + custom_edge(int weight): weight_{weight} {}; + custom_edge(){}; + ~custom_edge(){}; + + // Providing '<' and '!=' operators for sorting edges + bool operator<(const custom_edge& e) const noexcept { + return this->weight_ < e.weight_; + } + bool operator!=(const custom_edge& e) const noexcept { + return this->weight_ != e.weight_; + } +}; + +TYPED_TEST(MSTTest, CustomEdgeVertexOneComponentGraph) { + undirected_graph graph{}; + + const auto vertex_1 = graph.add_vertex(custom_vertex{1, "Custom vertex 1"}); + const auto vertex_2 = graph.add_vertex(custom_vertex{2, "Custom vertex 2"}); + const auto vertex_3 = graph.add_vertex(custom_vertex{3, "Custom vertex 3"}); + const auto vertex_4 = graph.add_vertex(custom_vertex{4, "Custom vertex 4"}); + + graph.add_edge(vertex_3, vertex_1, 4); + graph.add_edge(vertex_2, vertex_4, 6); + graph.add_edge(vertex_3, vertex_4, 5); + graph.add_edge(vertex_1, vertex_2, 16); + + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector expected_mst{ + {vertex_1, vertex_3}, + {vertex_3, vertex_4}, + {vertex_2, vertex_4}}; + + ASSERT_EQ(expected_mst, mst); +} +} // namespace graaf::algorithm From b5db653e17ac541c5a3dccc0073564c01bf60fc3 Mon Sep 17 00:00:00 2001 From: Hromz Date: Fri, 18 Aug 2023 20:43:02 +0300 Subject: [PATCH 17/26] clang style correction --- .../algorithm/minimum_spanning_tree_test.cpp | 47 +++++++++---------- 1 file changed, 21 insertions(+), 26 deletions(-) diff --git a/test/graaflib/algorithm/minimum_spanning_tree_test.cpp b/test/graaflib/algorithm/minimum_spanning_tree_test.cpp index 04b49f12..8c0ee650 100644 --- a/test/graaflib/algorithm/minimum_spanning_tree_test.cpp +++ b/test/graaflib/algorithm/minimum_spanning_tree_test.cpp @@ -62,7 +62,7 @@ TYPED_TEST(MSTTest, SparseGraph) { auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); std::vector expected_mst{ - {vertex_1, vertex_3}, {vertex_3, vertex_4}, {vertex_2, vertex_4}}; + {vertex_1, vertex_3}, {vertex_3, vertex_4}, {vertex_2, vertex_4}}; ASSERT_EQ(expected_mst, mst); } @@ -93,13 +93,10 @@ TYPED_TEST(MSTTest, TwoComponents) { graph.add_edge(vertex_8, vertex_6, 0.15f); auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); - std::vector expected_mst {{vertex_8, vertex_9}, - {vertex_3, vertex_4}, - {vertex_2, vertex_4}, - {vertex_6, vertex_8}, - {vertex_1, vertex_3}, - {vertex_5, vertex_6}, - {vertex_7, vertex_8}}; + std::vector expected_mst{ + {vertex_8, vertex_9}, {vertex_3, vertex_4}, {vertex_2, vertex_4}, + {vertex_6, vertex_8}, {vertex_1, vertex_3}, {vertex_5, vertex_6}, + {vertex_7, vertex_8}}; ASSERT_EQ(expected_mst, mst); } @@ -136,7 +133,7 @@ TYPED_TEST(MSTTest, CompleteGraph) { graph.add_edge(vertex_1, vertex_4, 45); graph.add_edge(vertex_2, vertex_4, 6); graph.add_edge(vertex_2, vertex_3, 55); - graph.add_edge(vertex_3, vertex_4, 5); + graph.add_edge(vertex_3, vertex_4, 5); auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); std::vector expected_mst{ @@ -170,8 +167,8 @@ struct custom_edge : public graaf::weighted_edge { int weight_{}; [[nodiscard]] int get_weight() const noexcept override { return weight_; } - - custom_edge(int weight): weight_{weight} {}; + + custom_edge(int weight) : weight_{weight} {}; custom_edge(){}; ~custom_edge(){}; @@ -185,24 +182,22 @@ struct custom_edge : public graaf::weighted_edge { }; TYPED_TEST(MSTTest, CustomEdgeVertexOneComponentGraph) { - undirected_graph graph{}; + undirected_graph graph{}; - const auto vertex_1 = graph.add_vertex(custom_vertex{1, "Custom vertex 1"}); - const auto vertex_2 = graph.add_vertex(custom_vertex{2, "Custom vertex 2"}); - const auto vertex_3 = graph.add_vertex(custom_vertex{3, "Custom vertex 3"}); - const auto vertex_4 = graph.add_vertex(custom_vertex{4, "Custom vertex 4"}); + const auto vertex_1 = graph.add_vertex(custom_vertex{1, "Custom vertex 1"}); + const auto vertex_2 = graph.add_vertex(custom_vertex{2, "Custom vertex 2"}); + const auto vertex_3 = graph.add_vertex(custom_vertex{3, "Custom vertex 3"}); + const auto vertex_4 = graph.add_vertex(custom_vertex{4, "Custom vertex 4"}); - graph.add_edge(vertex_3, vertex_1, 4); - graph.add_edge(vertex_2, vertex_4, 6); - graph.add_edge(vertex_3, vertex_4, 5); - graph.add_edge(vertex_1, vertex_2, 16); + graph.add_edge(vertex_3, vertex_1, 4); + graph.add_edge(vertex_2, vertex_4, 6); + graph.add_edge(vertex_3, vertex_4, 5); + graph.add_edge(vertex_1, vertex_2, 16); - auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); - std::vector expected_mst{ - {vertex_1, vertex_3}, - {vertex_3, vertex_4}, - {vertex_2, vertex_4}}; + auto mst = graaf::algorithm::kruskal_minimum_spanning_tree(graph); + std::vector expected_mst{ + {vertex_1, vertex_3}, {vertex_3, vertex_4}, {vertex_2, vertex_4}}; - ASSERT_EQ(expected_mst, mst); + ASSERT_EQ(expected_mst, mst); } } // namespace graaf::algorithm From 057ee77c46d2b25bff636b60df66732f34e66c61 Mon Sep 17 00:00:00 2001 From: Bob Luppes Date: Thu, 31 Aug 2023 20:57:06 +0200 Subject: [PATCH 18/26] Apply suggestions from code review --- README.md | 3 ++- docs/docs/algorithms/shortest-path/minimum_spanning_tree.md | 2 +- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 20fe22b4..9aa57baa 100644 --- a/README.md +++ b/README.md @@ -81,9 +81,10 @@ Algorithms implemented in the Graaf library include the following. For more info - BFS-Based Shortest Path - Dijkstra - Bellman-Ford - - Minimum spanning tree (MST) 3. [**Cycle Detection Algorithms**](https://bobluppes.github.io/graaf/docs/category/cycle-detection-algorithms): - DFS-Based Cycle Detection +4. **Minimum Spanning Tree (MST) Algorithms** + - Kruskal's Algorithm # Contributing The Graaf library welcomes contributions 🎊 diff --git a/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md b/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md index dffc8848..e3d5bfb8 100644 --- a/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md +++ b/docs/docs/algorithms/shortest-path/minimum_spanning_tree.md @@ -2,7 +2,7 @@ sidebar_position: 4 --- -# Minimum spanning tree (MST) or minimum spanning forest +# Kruskal's Algorithm Kruskal's algorithm finds the minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. The algorithm is implemented with disjoint set union and finding minimum weighted edges. Worst-case performance is `O(|E|log|V|)`, where `|E|` is the number of edges and `|V|` is the number of vertices in the From 5dce08b86fa07701b13cfe59be340656516f76b2 Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 5 Sep 2023 12:16:06 +0300 Subject: [PATCH 19/26] Added topological sort algorithm DFS-based --- README.md | 2 + .../topological-sort/topological-sort.md | 21 +++ .../graaflib/algorithm/topological_sorting.h | 20 ++ .../algorithm/topological_sorting.tpp | 60 ++++++ .../algorithm/topological_sorting_test.cpp | 178 ++++++++++++++++++ 5 files changed, 281 insertions(+) create mode 100644 docs/docs/algorithms/topological-sort/topological-sort.md create mode 100644 include/graaflib/algorithm/topological_sorting.h create mode 100644 include/graaflib/algorithm/topological_sorting.tpp create mode 100644 test/graaflib/algorithm/topological_sorting_test.cpp diff --git a/README.md b/README.md index 88b70236..18899a88 100644 --- a/README.md +++ b/README.md @@ -88,6 +88,8 @@ Algorithms implemented in the Graaf library include the following. For more info - Kruskal's Algorithm 5. [**Strongly Connected Components Algorithms**](https://bobluppes.github.io/graaf/docs/category/strongly-connected-components): - Tarjan's Strongly Connected Components +6. [**Topological Sorting Algorithms**](https://bobluppes.github.io/graaf/docs/category/topological-sorting): + - Topological sorting DFS-based # Contributing The Graaf library welcomes contributions 🎊 diff --git a/docs/docs/algorithms/topological-sort/topological-sort.md b/docs/docs/algorithms/topological-sort/topological-sort.md new file mode 100644 index 00000000..0951ad42 --- /dev/null +++ b/docs/docs/algorithms/topological-sort/topological-sort.md @@ -0,0 +1,21 @@ +--- +sidebar_position: 1 +--- + +# Topological sort algorithm +Topological sort algorithm processing DAG(directed acyclic graph) using DFS traversal. +Each vertex is visited only after all its dependencies are visited. +The runtime of the algorithm is `O(|V|+|E|)` and the memory consumption is `O(|V|)`. + +[wikipedia](https://en.wikipedia.org/wiki/Topological_sorting) + +## Syntax + +```cpp +template +[[nodiscard]] std::vector kruskal_minimum_spanning_tree( + const graph& graph); +``` + +- **graph** The graph to traverse. +- **return** Vector of vertices sorted in topological order. If the graph contains cycles, it returns an empty vector. \ No newline at end of file diff --git a/include/graaflib/algorithm/topological_sorting.h b/include/graaflib/algorithm/topological_sorting.h new file mode 100644 index 00000000..28e2ea3b --- /dev/null +++ b/include/graaflib/algorithm/topological_sorting.h @@ -0,0 +1,20 @@ +#pragma once + +#include + +namespace graaf::algorithm { +/** +* @brief Calculates order of vertices in topological order +* using DFS traversal +* +* @tparam V The vertex type of the graph. +* @tparam E The edge type of the graph. +* @param graph The input graph. +* @return Vector of vertices sorted in topological order +*/ +template +[[nodiscard]] std::vector topological_sort( + const graph& graph); + +} // namespace graaf::algorithm +#include "topological_sorting.tpp" diff --git a/include/graaflib/algorithm/topological_sorting.tpp b/include/graaflib/algorithm/topological_sorting.tpp new file mode 100644 index 00000000..817185bd --- /dev/null +++ b/include/graaflib/algorithm/topological_sorting.tpp @@ -0,0 +1,60 @@ +#pragma once + +#include +#include + +#include +#include + +namespace graaf::algorithm { + +namespace detail { + +enum class vertex_status { UNVISITED, VISITED}; + +// DFS topological sort +template +void do_dfs_topological_sort( + const graph& graph, + vertex_id_t start_vertex, + std::unordered_map& processed_vertices, + std::vector& sorted_vertices) { + + processed_vertices[start_vertex] = vertex_status::VISITED; + for (const auto& next_vertex : graph.get_neighbors(start_vertex)) { + if (processed_vertices[next_vertex] == vertex_status::UNVISITED) { + do_dfs_topological_sort(graph, next_vertex, processed_vertices, + sorted_vertices); + } + } + + sorted_vertices.push_back(start_vertex); + } + +}; // namespace detail + +template +std::vector topological_sort( + const graph& graph) { + + // Graph should be acyclic + if (dfs_cycle_detection(graph)) { + return {}; + } + + using enum detail::vertex_status; + std::vector sorted_vertices{}; + sorted_vertices.reserve(graph.vertex_count()); + std::unordered_map processed_vertices{}; + + for (const auto& vertex : graph.get_vertices()) { + if (processed_vertices[vertex.first] == UNVISITED) { + detail::do_dfs_topological_sort(graph, vertex.first, processed_vertices, sorted_vertices); + } + } + + std::reverse(sorted_vertices.begin(), sorted_vertices.end()); + return sorted_vertices; +} + +}; // namespace graaf::algorithm diff --git a/test/graaflib/algorithm/topological_sorting_test.cpp b/test/graaflib/algorithm/topological_sorting_test.cpp new file mode 100644 index 00000000..03e2ce71 --- /dev/null +++ b/test/graaflib/algorithm/topological_sorting_test.cpp @@ -0,0 +1,178 @@ +#include +#include +#include +#include +#include + +namespace graaf::algorithm { +namespace { +template +struct TypedTopologicalSort : public testing::Test { + using graph_t = T; +}; + +using graph_types = testing::Types>; +TYPED_TEST_SUITE(TypedTopologicalSort, graph_types); + +}; // namespace + +TYPED_TEST(TypedTopologicalSort, ShortGraph) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + + graph.add_edge(vertex_1, vertex_2, 25); + graph.add_edge(vertex_2, vertex_3, 35); + graph.add_edge(vertex_3, vertex_4, 45); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices{0, 1, 2, 3}; + + // THEN + ASSERT_EQ(expected_vertices, sorted_vertices); +} + +TYPED_TEST(TypedTopologicalSort, CycleGraph) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + + graph.add_edge(vertex_1, vertex_2, 25); + graph.add_edge(vertex_2, vertex_3, 35); + graph.add_edge(vertex_3, vertex_4, 45); + graph.add_edge(vertex_4, vertex_1, 55); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices{}; + + // THEN + ASSERT_EQ(expected_vertices, sorted_vertices); +} + +TYPED_TEST(TypedTopologicalSort, GraphWithParallelEdge) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + + graph.add_edge(vertex_1, vertex_2, 25); + graph.add_edge(vertex_3, vertex_4, 35); + graph.add_edge(vertex_4, vertex_1, 45); + graph.add_edge(vertex_1, vertex_4, 55); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices{}; + + // THEN + ASSERT_EQ(expected_vertices, sorted_vertices); +} + +TYPED_TEST(TypedTopologicalSort, SelfLoop) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + + graph.add_edge(vertex_1, vertex_1, -1); + graph.add_edge(vertex_2, vertex_2, -1); + graph.add_edge(vertex_1, vertex_2, 15); + graph.add_edge(vertex_3, vertex_4, 25); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices{}; + + // THEN + ASSERT_EQ(expected_vertices, sorted_vertices); +} + +TYPED_TEST(TypedTopologicalSort, SimpleGraph) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + const auto vertex_5{graph.add_vertex(50)}; + const auto vertex_6{graph.add_vertex(60)}; + const auto vertex_7{graph.add_vertex(70)}; + + graph.add_edge(vertex_1, vertex_5, 1); + graph.add_edge(vertex_5, vertex_3, 2); + graph.add_edge(vertex_3, vertex_7, 3); + graph.add_edge(vertex_1, vertex_4, 4); + graph.add_edge(vertex_1, vertex_2, 5); + graph.add_edge(vertex_4, vertex_2, 6); + graph.add_edge(vertex_2, vertex_6, 7); + graph.add_edge(vertex_6, vertex_3, 8); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices{0, 3, 1, 5, 4, 2, 6}; + + // THEN + ASSERT_EQ(expected_vertices, sorted_vertices); +} + +TYPED_TEST(TypedTopologicalSort, SixSortResults) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + const auto vertex_5{graph.add_vertex(50)}; + const auto vertex_6{graph.add_vertex(60)}; + const auto vertex_7{graph.add_vertex(70)}; + + graph.add_edge(vertex_1, vertex_2, 1); + graph.add_edge(vertex_2, vertex_3, 2); + graph.add_edge(vertex_1, vertex_4, 3); + graph.add_edge(vertex_4, vertex_5, 4); + graph.add_edge(vertex_1, vertex_6, 5); + graph.add_edge(vertex_6, vertex_7, 6); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices_1{0, 1, 2, 3, 4, 5, 6}; + std::vector expected_vertices_2{0, 1, 2, 5, 6, 3, 4}; + std::vector expected_vertices_3{0, 5, 6, 1, 2, 3, 4}; + std::vector expected_vertices_4{0, 5, 6, 3, 4, 1, 2}; + std::vector expected_vertices_5{0, 3, 4, 5, 6, 1, 2}; + std::vector expected_vertices_6{0, 3, 4, 1, 2, 5, 6}; + + // THEN + ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || + (expected_vertices_2 == sorted_vertices) || + (expected_vertices_3 == sorted_vertices) || + (expected_vertices_4 == sorted_vertices) || + (expected_vertices_4 == sorted_vertices) || + (expected_vertices_6 == sorted_vertices) ); +} + +}; // namespace graaf::algorithm \ No newline at end of file From f8cd4fb0f95708fced31ad1ac1354722788511d1 Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 5 Sep 2023 13:51:34 +0300 Subject: [PATCH 20/26] small fixes --- .../algorithm/topological_sorting_test.cpp | 134 ++++++++++-------- 1 file changed, 71 insertions(+), 63 deletions(-) diff --git a/test/graaflib/algorithm/topological_sorting_test.cpp b/test/graaflib/algorithm/topological_sorting_test.cpp index 03e2ce71..7a3dcc87 100644 --- a/test/graaflib/algorithm/topological_sorting_test.cpp +++ b/test/graaflib/algorithm/topological_sorting_test.cpp @@ -76,7 +76,7 @@ TYPED_TEST(TypedTopologicalSort, GraphWithParallelEdge) { graph.add_edge(vertex_4, vertex_1, 45); graph.add_edge(vertex_1, vertex_4, 55); - // WHEN; + // WHEN auto sorted_vertices = topological_sort(graph); std::vector expected_vertices{}; @@ -108,71 +108,79 @@ TYPED_TEST(TypedTopologicalSort, SelfLoop) { } TYPED_TEST(TypedTopologicalSort, SimpleGraph) { - // GIVEN - using graph_t = typename TestFixture::graph_t; - graph_t graph{}; - - const auto vertex_1{graph.add_vertex(10)}; - const auto vertex_2{graph.add_vertex(20)}; - const auto vertex_3{graph.add_vertex(30)}; - const auto vertex_4{graph.add_vertex(40)}; - const auto vertex_5{graph.add_vertex(50)}; - const auto vertex_6{graph.add_vertex(60)}; - const auto vertex_7{graph.add_vertex(70)}; - - graph.add_edge(vertex_1, vertex_5, 1); - graph.add_edge(vertex_5, vertex_3, 2); - graph.add_edge(vertex_3, vertex_7, 3); - graph.add_edge(vertex_1, vertex_4, 4); - graph.add_edge(vertex_1, vertex_2, 5); - graph.add_edge(vertex_4, vertex_2, 6); - graph.add_edge(vertex_2, vertex_6, 7); - graph.add_edge(vertex_6, vertex_3, 8); - - // WHEN; - auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices{0, 3, 1, 5, 4, 2, 6}; - - // THEN - ASSERT_EQ(expected_vertices, sorted_vertices); + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + const auto vertex_5{graph.add_vertex(50)}; + const auto vertex_6{graph.add_vertex(60)}; + const auto vertex_7{graph.add_vertex(70)}; + + graph.add_edge(vertex_1, vertex_5, 1); + graph.add_edge(vertex_5, vertex_3, 2); + graph.add_edge(vertex_3, vertex_7, 3); + graph.add_edge(vertex_1, vertex_4, 4); + graph.add_edge(vertex_1, vertex_2, 5); + graph.add_edge(vertex_4, vertex_2, 6); + graph.add_edge(vertex_2, vertex_6, 7); + graph.add_edge(vertex_6, vertex_3, 8); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices_1{0, 3, 1, 5, 4, 2, 6}; + std::vector expected_vertices_2{0, 1, 3, 5, 4, 2, 6}; + std::vector expected_vertices_3{0, 1, 3, 4, 5, 2, 6}; + std::vector expected_vertices_4{0, 4, 3, 1, 5, 2, 6}; + std::vector expected_vertices_5{0, 4, 1, 3, 5, 2, 6}; + + // THEN + ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || + (expected_vertices_2 == sorted_vertices) || + (expected_vertices_3 == sorted_vertices) || + (expected_vertices_4 == sorted_vertices) || + (expected_vertices_5 == sorted_vertices)); } TYPED_TEST(TypedTopologicalSort, SixSortResults) { - // GIVEN - using graph_t = typename TestFixture::graph_t; - graph_t graph{}; - - const auto vertex_1{graph.add_vertex(10)}; - const auto vertex_2{graph.add_vertex(20)}; - const auto vertex_3{graph.add_vertex(30)}; - const auto vertex_4{graph.add_vertex(40)}; - const auto vertex_5{graph.add_vertex(50)}; - const auto vertex_6{graph.add_vertex(60)}; - const auto vertex_7{graph.add_vertex(70)}; - - graph.add_edge(vertex_1, vertex_2, 1); - graph.add_edge(vertex_2, vertex_3, 2); - graph.add_edge(vertex_1, vertex_4, 3); - graph.add_edge(vertex_4, vertex_5, 4); - graph.add_edge(vertex_1, vertex_6, 5); - graph.add_edge(vertex_6, vertex_7, 6); - - // WHEN; - auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices_1{0, 1, 2, 3, 4, 5, 6}; - std::vector expected_vertices_2{0, 1, 2, 5, 6, 3, 4}; - std::vector expected_vertices_3{0, 5, 6, 1, 2, 3, 4}; - std::vector expected_vertices_4{0, 5, 6, 3, 4, 1, 2}; - std::vector expected_vertices_5{0, 3, 4, 5, 6, 1, 2}; - std::vector expected_vertices_6{0, 3, 4, 1, 2, 5, 6}; - - // THEN - ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || - (expected_vertices_2 == sorted_vertices) || - (expected_vertices_3 == sorted_vertices) || - (expected_vertices_4 == sorted_vertices) || - (expected_vertices_4 == sorted_vertices) || - (expected_vertices_6 == sorted_vertices) ); + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + const auto vertex_5{graph.add_vertex(50)}; + const auto vertex_6{graph.add_vertex(60)}; + const auto vertex_7{graph.add_vertex(70)}; + + graph.add_edge(vertex_1, vertex_2, 1); + graph.add_edge(vertex_2, vertex_3, 2); + graph.add_edge(vertex_1, vertex_4, 3); + graph.add_edge(vertex_4, vertex_5, 4); + graph.add_edge(vertex_1, vertex_6, 5); + graph.add_edge(vertex_6, vertex_7, 6); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices_1{0, 1, 2, 3, 4, 5, 6}; + std::vector expected_vertices_2{0, 1, 2, 5, 6, 3, 4}; + std::vector expected_vertices_3{0, 5, 6, 1, 2, 3, 4}; + std::vector expected_vertices_4{0, 5, 6, 3, 4, 1, 2}; + std::vector expected_vertices_5{0, 3, 4, 5, 6, 1, 2}; + std::vector expected_vertices_6{0, 3, 4, 1, 2, 5, 6}; + + // THEN + ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || + (expected_vertices_2 == sorted_vertices) || + (expected_vertices_3 == sorted_vertices) || + (expected_vertices_4 == sorted_vertices) || + (expected_vertices_4 == sorted_vertices) || + (expected_vertices_6 == sorted_vertices)); } }; // namespace graaf::algorithm \ No newline at end of file From 14f0b8d9876c4ac9d2284f2f3cc7832add4c666b Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 5 Sep 2023 14:00:35 +0300 Subject: [PATCH 21/26] clang format fix --- .../graaflib/algorithm/topological_sorting.h | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/include/graaflib/algorithm/topological_sorting.h b/include/graaflib/algorithm/topological_sorting.h index 28e2ea3b..9faba554 100644 --- a/include/graaflib/algorithm/topological_sorting.h +++ b/include/graaflib/algorithm/topological_sorting.h @@ -4,17 +4,17 @@ namespace graaf::algorithm { /** -* @brief Calculates order of vertices in topological order -* using DFS traversal -* -* @tparam V The vertex type of the graph. -* @tparam E The edge type of the graph. -* @param graph The input graph. -* @return Vector of vertices sorted in topological order -*/ + * @brief Calculates order of vertices in topological order + * using DFS traversal + * + * @tparam V The vertex type of the graph. + * @tparam E The edge type of the graph. + * @param graph The input graph. + * @return Vector of vertices sorted in topological order + */ template [[nodiscard]] std::vector topological_sort( const graph& graph); -} // namespace graaf::algorithm +} // namespace graaf::algorithm #include "topological_sorting.tpp" From 7efd134a41d9f06db1be90e0d609edaa7964b656 Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 5 Sep 2023 14:26:19 +0300 Subject: [PATCH 22/26] added test --- test/graaflib/algorithm/topological_sorting_test.cpp | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/test/graaflib/algorithm/topological_sorting_test.cpp b/test/graaflib/algorithm/topological_sorting_test.cpp index 7a3dcc87..7a1f886c 100644 --- a/test/graaflib/algorithm/topological_sorting_test.cpp +++ b/test/graaflib/algorithm/topological_sorting_test.cpp @@ -136,13 +136,15 @@ TYPED_TEST(TypedTopologicalSort, SimpleGraph) { std::vector expected_vertices_3{0, 1, 3, 4, 5, 2, 6}; std::vector expected_vertices_4{0, 4, 3, 1, 5, 2, 6}; std::vector expected_vertices_5{0, 4, 1, 3, 5, 2, 6}; + std::vector expected_vertices_6{0, 1, 4, 3, 5, 2, 6}; // THEN ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || (expected_vertices_2 == sorted_vertices) || (expected_vertices_3 == sorted_vertices) || (expected_vertices_4 == sorted_vertices) || - (expected_vertices_5 == sorted_vertices)); + (expected_vertices_5 == sorted_vertices) || + (expected_vertices_6 == sorted_vertices )); } TYPED_TEST(TypedTopologicalSort, SixSortResults) { From 0bcad82a6738a7a6f1e48586608d75fb5373dbdb Mon Sep 17 00:00:00 2001 From: Hromz Date: Tue, 5 Sep 2023 14:33:26 +0300 Subject: [PATCH 23/26] more tests --- test/graaflib/algorithm/topological_sorting_test.cpp | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/test/graaflib/algorithm/topological_sorting_test.cpp b/test/graaflib/algorithm/topological_sorting_test.cpp index 7a1f886c..a5f224de 100644 --- a/test/graaflib/algorithm/topological_sorting_test.cpp +++ b/test/graaflib/algorithm/topological_sorting_test.cpp @@ -137,6 +137,8 @@ TYPED_TEST(TypedTopologicalSort, SimpleGraph) { std::vector expected_vertices_4{0, 4, 3, 1, 5, 2, 6}; std::vector expected_vertices_5{0, 4, 1, 3, 5, 2, 6}; std::vector expected_vertices_6{0, 1, 4, 3, 5, 2, 6}; + std::vector expected_vertices_7{0, 3, 1, 4, 5, 2, 6}; + std::vector expected_vertices_8{0, 3, 4, 1, 5, 2, 6}; // THEN ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || @@ -144,7 +146,9 @@ TYPED_TEST(TypedTopologicalSort, SimpleGraph) { (expected_vertices_3 == sorted_vertices) || (expected_vertices_4 == sorted_vertices) || (expected_vertices_5 == sorted_vertices) || - (expected_vertices_6 == sorted_vertices )); + (expected_vertices_6 == sorted_vertices) || + (expected_vertices_7 == sorted_vertices) || + (expected_vertices_8 == sorted_vertices)); } TYPED_TEST(TypedTopologicalSort, SixSortResults) { From f96849a5e3b624bc6a3a8f4fa5a042b9c3fc9a52 Mon Sep 17 00:00:00 2001 From: Hromz Date: Sun, 10 Sep 2023 11:30:02 +0300 Subject: [PATCH 24/26] Minor fixes Added one test --- .../topological-sort/topological-sort.md | 6 +- .../graaflib/algorithm/topological_sorting.h | 3 +- .../algorithm/topological_sorting.tpp | 26 +++---- .../algorithm/topological_sorting_test.cpp | 78 ++++++++++++++----- 4 files changed, 77 insertions(+), 36 deletions(-) diff --git a/docs/docs/algorithms/topological-sort/topological-sort.md b/docs/docs/algorithms/topological-sort/topological-sort.md index 0951ad42..0d81af79 100644 --- a/docs/docs/algorithms/topological-sort/topological-sort.md +++ b/docs/docs/algorithms/topological-sort/topological-sort.md @@ -13,9 +13,9 @@ The runtime of the algorithm is `O(|V|+|E|)` and the memory consumption is `O(|V ```cpp template -[[nodiscard]] std::vector kruskal_minimum_spanning_tree( - const graph& graph); +[[nodiscard]] std::optional> topological_sort( + const graph& graph); ``` -- **graph** The graph to traverse. +- **graph** The directed graph to traverse. - **return** Vector of vertices sorted in topological order. If the graph contains cycles, it returns an empty vector. \ No newline at end of file diff --git a/include/graaflib/algorithm/topological_sorting.h b/include/graaflib/algorithm/topological_sorting.h index 9faba554..a3b263a4 100644 --- a/include/graaflib/algorithm/topological_sorting.h +++ b/include/graaflib/algorithm/topological_sorting.h @@ -1,5 +1,6 @@ #pragma once +#include #include namespace graaf::algorithm { @@ -13,7 +14,7 @@ namespace graaf::algorithm { * @return Vector of vertices sorted in topological order */ template -[[nodiscard]] std::vector topological_sort( +[[nodiscard]] std::optional> topological_sort( const graph& graph); } // namespace graaf::algorithm diff --git a/include/graaflib/algorithm/topological_sorting.tpp b/include/graaflib/algorithm/topological_sorting.tpp index 817185bd..bcd7d30a 100644 --- a/include/graaflib/algorithm/topological_sorting.tpp +++ b/include/graaflib/algorithm/topological_sorting.tpp @@ -4,52 +4,50 @@ #include #include -#include +#include +#include namespace graaf::algorithm { namespace detail { -enum class vertex_status { UNVISITED, VISITED}; - // DFS topological sort template void do_dfs_topological_sort( const graph& graph, vertex_id_t start_vertex, - std::unordered_map& processed_vertices, + std::unordered_set& processed_vertices, std::vector& sorted_vertices) { - processed_vertices[start_vertex] = vertex_status::VISITED; + processed_vertices.insert(start_vertex); for (const auto& next_vertex : graph.get_neighbors(start_vertex)) { - if (processed_vertices[next_vertex] == vertex_status::UNVISITED) { + if (!processed_vertices.contains(next_vertex)) { do_dfs_topological_sort(graph, next_vertex, processed_vertices, sorted_vertices); } } - sorted_vertices.push_back(start_vertex); + sorted_vertices.push_back(start_vertex); } }; // namespace detail template -std::vector topological_sort( +std::optional> topological_sort( const graph& graph) { // Graph should be acyclic if (dfs_cycle_detection(graph)) { - return {}; + return std::nullopt; } - using enum detail::vertex_status; std::vector sorted_vertices{}; sorted_vertices.reserve(graph.vertex_count()); - std::unordered_map processed_vertices{}; + std::unordered_set processed_vertices{}; - for (const auto& vertex : graph.get_vertices()) { - if (processed_vertices[vertex.first] == UNVISITED) { - detail::do_dfs_topological_sort(graph, vertex.first, processed_vertices, sorted_vertices); + for (const auto& [vertex_id, _] : graph.get_vertices()) { + if (!processed_vertices.contains(vertex_id)) { + detail::do_dfs_topological_sort(graph, vertex_id, processed_vertices, sorted_vertices); } } diff --git a/test/graaflib/algorithm/topological_sorting_test.cpp b/test/graaflib/algorithm/topological_sorting_test.cpp index a5f224de..642b15d4 100644 --- a/test/graaflib/algorithm/topological_sorting_test.cpp +++ b/test/graaflib/algorithm/topological_sorting_test.cpp @@ -32,12 +32,40 @@ TYPED_TEST(TypedTopologicalSort, ShortGraph) { // WHEN; auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices{0, 1, 2, 3}; + std::vector expected_vertices{vertex_1, vertex_2, vertex_3, + vertex_4}; // THEN ASSERT_EQ(expected_vertices, sorted_vertices); } +TYPED_TEST(TypedTopologicalSort, RhombusShapeGraph) { + // GIVEN + using graph_t = typename TestFixture::graph_t; + graph_t graph{}; + + const auto vertex_1{graph.add_vertex(10)}; + const auto vertex_2{graph.add_vertex(20)}; + const auto vertex_3{graph.add_vertex(30)}; + const auto vertex_4{graph.add_vertex(40)}; + + graph.add_edge(vertex_1, vertex_2, 25); + graph.add_edge(vertex_1, vertex_3, 35); + graph.add_edge(vertex_3, vertex_4, 45); + graph.add_edge(vertex_2, vertex_4, 55); + + // WHEN; + auto sorted_vertices = topological_sort(graph); + std::vector expected_vertices_1{vertex_1, vertex_2, vertex_3, + vertex_4}; + std::vector expected_vertices_2{vertex_1, vertex_3, vertex_2, + vertex_4}; + + // THEN + ASSERT_TRUE(expected_vertices_1 == sorted_vertices || + expected_vertices_2 == sorted_vertices); +} + TYPED_TEST(TypedTopologicalSort, CycleGraph) { // GIVEN using graph_t = typename TestFixture::graph_t; @@ -55,7 +83,7 @@ TYPED_TEST(TypedTopologicalSort, CycleGraph) { // WHEN; auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices{}; + const auto expected_vertices = std::nullopt; // THEN ASSERT_EQ(expected_vertices, sorted_vertices); @@ -78,7 +106,7 @@ TYPED_TEST(TypedTopologicalSort, GraphWithParallelEdge) { // WHEN auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices{}; + const auto expected_vertices = std::nullopt; // THEN ASSERT_EQ(expected_vertices, sorted_vertices); @@ -101,7 +129,7 @@ TYPED_TEST(TypedTopologicalSort, SelfLoop) { // WHEN; auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices{}; + const auto expected_vertices = std::nullopt; // THEN ASSERT_EQ(expected_vertices, sorted_vertices); @@ -131,14 +159,22 @@ TYPED_TEST(TypedTopologicalSort, SimpleGraph) { // WHEN; auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices_1{0, 3, 1, 5, 4, 2, 6}; - std::vector expected_vertices_2{0, 1, 3, 5, 4, 2, 6}; - std::vector expected_vertices_3{0, 1, 3, 4, 5, 2, 6}; - std::vector expected_vertices_4{0, 4, 3, 1, 5, 2, 6}; - std::vector expected_vertices_5{0, 4, 1, 3, 5, 2, 6}; - std::vector expected_vertices_6{0, 1, 4, 3, 5, 2, 6}; - std::vector expected_vertices_7{0, 3, 1, 4, 5, 2, 6}; - std::vector expected_vertices_8{0, 3, 4, 1, 5, 2, 6}; + std::vector expected_vertices_1{ + vertex_1, vertex_4, vertex_2, vertex_6, vertex_5, vertex_3, vertex_7}; + std::vector expected_vertices_2{ + vertex_1, vertex_2, vertex_4, vertex_6, vertex_5, vertex_3, vertex_7}; + std::vector expected_vertices_3{ + vertex_1, vertex_2, vertex_4, vertex_5, vertex_6, vertex_3, vertex_7}; + std::vector expected_vertices_4{ + vertex_1, vertex_5, vertex_4, vertex_2, vertex_6, vertex_3, vertex_7}; + std::vector expected_vertices_5{ + vertex_1, vertex_5, vertex_2, vertex_4, vertex_6, vertex_3, vertex_7}; + std::vector expected_vertices_6{ + vertex_1, vertex_2, vertex_5, vertex_4, vertex_6, vertex_3, vertex_7}; + std::vector expected_vertices_7{ + vertex_1, vertex_4, vertex_2, vertex_5, vertex_6, vertex_3, vertex_7}; + std::vector expected_vertices_8{ + vertex_1, vertex_4, vertex_5, vertex_2, vertex_6, vertex_3, vertex_7}; // THEN ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || @@ -173,12 +209,18 @@ TYPED_TEST(TypedTopologicalSort, SixSortResults) { // WHEN; auto sorted_vertices = topological_sort(graph); - std::vector expected_vertices_1{0, 1, 2, 3, 4, 5, 6}; - std::vector expected_vertices_2{0, 1, 2, 5, 6, 3, 4}; - std::vector expected_vertices_3{0, 5, 6, 1, 2, 3, 4}; - std::vector expected_vertices_4{0, 5, 6, 3, 4, 1, 2}; - std::vector expected_vertices_5{0, 3, 4, 5, 6, 1, 2}; - std::vector expected_vertices_6{0, 3, 4, 1, 2, 5, 6}; + std::vector expected_vertices_1{ + vertex_1, vertex_2, vertex_3, vertex_4, vertex_5, vertex_6, vertex_7}; + std::vector expected_vertices_2{ + vertex_1, vertex_2, vertex_3, vertex_6, vertex_7, vertex_4, vertex_5}; + std::vector expected_vertices_3{ + vertex_1, vertex_6, vertex_7, vertex_2, vertex_3, vertex_4, vertex_5}; + std::vector expected_vertices_4{ + vertex_1, vertex_6, vertex_7, vertex_4, vertex_5, vertex_2, vertex_3}; + std::vector expected_vertices_5{ + vertex_1, vertex_4, vertex_5, vertex_6, vertex_7, vertex_2, vertex_3}; + std::vector expected_vertices_6{ + vertex_1, vertex_4, vertex_5, vertex_2, vertex_3, vertex_6, vertex_7}; // THEN ASSERT_TRUE((expected_vertices_1 == sorted_vertices) || From 57d3c4735de92cac1486e333814c1414160777e1 Mon Sep 17 00:00:00 2001 From: Hromz Date: Sun, 10 Sep 2023 11:38:10 +0300 Subject: [PATCH 25/26] Clang format --- include/graaflib/algorithm/topological_sorting.h | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/include/graaflib/algorithm/topological_sorting.h b/include/graaflib/algorithm/topological_sorting.h index a3b263a4..5cae4ae9 100644 --- a/include/graaflib/algorithm/topological_sorting.h +++ b/include/graaflib/algorithm/topological_sorting.h @@ -1,8 +1,9 @@ #pragma once -#include #include +#include + namespace graaf::algorithm { /** * @brief Calculates order of vertices in topological order From c5ddba1679a5a6ee20cf4a7c5fd32d12bfc35a68 Mon Sep 17 00:00:00 2001 From: Aleksandr Date: Sun, 10 Sep 2023 23:31:19 +0300 Subject: [PATCH 26/26] Update topological-sort.md Corrected doc file --- docs/docs/algorithms/topological-sort/topological-sort.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/docs/algorithms/topological-sort/topological-sort.md b/docs/docs/algorithms/topological-sort/topological-sort.md index 0d81af79..a8d544cd 100644 --- a/docs/docs/algorithms/topological-sort/topological-sort.md +++ b/docs/docs/algorithms/topological-sort/topological-sort.md @@ -18,4 +18,4 @@ template ``` - **graph** The directed graph to traverse. -- **return** Vector of vertices sorted in topological order. If the graph contains cycles, it returns an empty vector. \ No newline at end of file +- **return** Vector of vertices sorted in topological order. If the graph contains cycles, it returns std::nullopt.

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