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test_nt_code.cpp
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#include<iostream>
#include<string>
#include "nt_wrappers/nauty_traces.h"
int main(void) {
#ifdef SCHENO__NT_SPARSE_GRAPH_FULL_DEBUG_MODE
std::cout<<"###################################################"<<std::endl
<<"Checking internal consistency of NT representation."<<std::endl
<<"###################################################"<<std::endl;
for (bool directed : {false, true}) {
std::cout<<std::endl<<"Directed: "<<directed<<std::endl<<std::endl;
rand_test(0.02, 0.01,
0.57, 0.4,
directed, 8555, 2000);
// This means that once we hit a stable state I expect there to be 0
// edges roughly ((.57 - .41)/.98) / (1 + ((.57 - .41)/.98)) ~= 13% of
// the time.
rand_test(0.02, 0.0,
0.41, 0.57,
directed, 8555, 2000);
rand_test(0.005, 0.0,
0.695, 0.3,
directed, 8555, 2000);
}
#endif
std::cout<<std::endl<<std::endl
<<"###################################################"<<std::endl
<<"Checking basic Traces correctness"<<std::endl
<<"###################################################"<<std::endl
<<std::endl;
NautyTracesOptions options;
options.get_node_orbits = true;
options.get_edge_orbits = true;
options.get_canonical_node_order = true;
std::vector<int> node_orbits = std::vector<int>();
Coloring<int> node_coloring = Coloring<int>();
NTSparseGraph g_undir = NTSparseGraph(false, 7);
NautyTracesResults result = traces(g_undir, options);
node_orbits.clear();
for (size_t i = 0; i < g_undir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Undirected Graph on 7 nodes with no edges"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_undir.add_edge(0, 1);
g_undir.add_edge(2, 1);
result = traces(g_undir, options);
node_orbits.clear();
for (size_t i = 0; i < g_undir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Undirected Graph on 7 nodes with edges (0, 1), (1, 2)"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
NTSparseGraph g_dir = NTSparseGraph(true, 7);
g_dir.add_edge(0, 1);
g_dir.add_edge(2, 1);
result = traces(g_dir, options);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 7 nodes with edges (0, 1), (2, 1)"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_dir.add_edge(0, 0);
result = traces(g_dir, options);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 7 nodes with edges (0, 1), (2, 1), (0, 0)"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_dir.delete_edge(0, 0);
g_dir.delete_edge(2, 1);
g_dir.add_edge(1, 2);
result = traces(g_dir, options);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 7 nodes with edges (0, 1), (1, 2)"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_dir.flip_edge(1, 2);
g_dir.flip_edge(2, 1);
node_coloring.set(0, 1);
node_coloring.set(1, 1);
node_coloring.set(2, 0);
node_coloring.set(3, 0);
node_coloring.set(4, 0);
node_coloring.set(5, 0);
node_coloring.set(6, 0);
NTPartition partition = g_dir.nauty_traces_coloring(node_coloring);
result = traces(g_dir, options, partition);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 7 nodes with edges (0, 1), (2, 1)"<<std::endl;
std::cout<<"// Nodes 0 and 1 have been given color 1 while all else is 0."<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_dir.add_edge(0, 0);
partition = g_dir.nauty_traces_coloring(node_coloring);
result = traces(g_dir, options, partition);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 7 nodes with edges (0, 1), (2, 1), (0, 0)"<<std::endl;
std::cout<<"// Node 0 has been given a unique color -- (uniqueness overdetermined)"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
// Edge colorings
node_coloring = Coloring<int>();
Coloring<Edge, EdgeHash> edge_coloring = Coloring<Edge, EdgeHash>();
g_dir = NTSparseGraph(true, 4);
g_dir.add_edge(0, 0);
g_dir.add_edge(0, 1);
g_dir.add_edge(0, 2);
g_dir.add_edge(1, 0);
g_dir.add_edge(1, 1);
g_dir.add_edge(1, 2);
g_dir.add_edge(2, 0);
g_dir.add_edge(2, 1);
g_dir.add_edge(2, 2);
g_dir.add_edge(0, 3);
g_dir.add_edge(1, 3);
g_dir.add_edge(2, 3);
edge_coloring.set(EDGE(0, 0, true), 7);
edge_coloring.set(EDGE(0, 1, true), 0);
edge_coloring.set(EDGE(0, 2, true), 0);
edge_coloring.set(EDGE(1, 0, true), 0);
edge_coloring.set(EDGE(1, 1, true), 7);
edge_coloring.set(EDGE(1, 2, true), 0);
edge_coloring.set(EDGE(2, 0, true), 0);
edge_coloring.set(EDGE(2, 1, true), 0);
edge_coloring.set(EDGE(2, 2, true), 0);
edge_coloring.set(EDGE(0, 3, true), 0);
edge_coloring.set(EDGE(1, 3, true), 0);
edge_coloring.set(EDGE(2, 3, true), 0);
partition = g_dir.nauty_traces_coloring(edge_coloring);
std::cout<<"\n\nStarting Partition: "<<vec_as_string(partition.get_cell_list())<<std::endl;
std::cout<<vec_as_string(std::vector<int>(partition.get_node_ids(), partition.get_node_ids() + partition.size()))<<std::endl;
std::cout<<vec_as_string(std::vector<int>(partition.get_partition_ints(), partition.get_partition_ints() + partition.size()))<<std::endl;
result = traces(g_dir, options, partition);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 4 nodes with ALL possible edges on the first "<<std::endl
<<" three (including self-loops) and the first 3 pointing to the 4th"<<std::endl;
std::cout<<"// Edges (0, 0) and (1, 1) have been highlighted."<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
edge_coloring.set(EDGE(2, 2, true), 7);
edge_coloring.set(EDGE(0, 1, true), 7);
edge_coloring.set(EDGE(1, 2, true), 7);
edge_coloring.set(EDGE(2, 0, true), 7);
partition = g_dir.nauty_traces_coloring(edge_coloring);
result = traces(g_dir, options, partition);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 4 nodes with ALL possible edges on the first "<<std::endl
<<" three (including self-loops) and the first 3 pointing to the 4th"<<std::endl;
std::cout<<"// Edges (0, 0), (1, 1), (2, 2), (0, 1), (1, 2), and (2, 0) have been highlighted."<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_dir = NTSparseGraph(true, 8);
g_dir.add_edge(0, 0);
g_dir.add_edge(1, 1);
g_dir.add_edge(2, 2);
g_dir.add_edge(3, 3);
g_dir.add_edge(4, 4);
g_dir.add_edge(5, 5);
g_dir.add_edge(6, 6);
g_dir.add_edge(7, 7);
node_coloring = Coloring<int>();
edge_coloring = Coloring<Edge, EdgeHash>();
node_coloring.set(0, 0);
node_coloring.set(1, 0);
node_coloring.set(2, 1);
node_coloring.set(3, 1);
node_coloring.set(4, 1);
node_coloring.set(5, 1);
node_coloring.set(6, 1);
node_coloring.set(7, 2);
edge_coloring.set(EDGE(0,0,true), 0);
edge_coloring.set(EDGE(1,1,true), 1);
edge_coloring.set(EDGE(2,2,true), 1);
edge_coloring.set(EDGE(3,3,true), 1);
edge_coloring.set(EDGE(4,4,true), 2);
edge_coloring.set(EDGE(5,5,true), 2);
edge_coloring.set(EDGE(6,6,true), 3);
edge_coloring.set(EDGE(7,7,true), 3);
partition = g_dir.nauty_traces_coloring(node_coloring, edge_coloring);
result = traces(g_dir, options, partition);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Directed Graph on 8 nodes with self loops only "<<std::endl;
std::cout<<"// Node Partition: 0, 1 | 2, 3, 4, 5, 6 | 7"<<std::endl;
std::cout<<"// Self-Loop Partition: 0 | 1, 2, 3 | 4, 5 | 6, 7"<<std::endl;
std::cout<<"// Thus resultant partition should be 0 | 1 | 2, 3 | 4, 5 | 6 | 7"<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
g_dir.add_edge(2, 3);
g_dir.add_edge(3, 2);
g_dir.add_edge(4, 5);
g_dir.add_edge(5, 4);
edge_coloring.set(EDGE(2,3,true), 0);
edge_coloring.set(EDGE(3,2,true), 0);
edge_coloring.set(EDGE(4,5,true), 1);
edge_coloring.set(EDGE(5,4,true), 1);
partition = g_dir.nauty_traces_coloring(node_coloring, edge_coloring);
result = traces(g_dir, options, partition);
node_orbits.clear();
for (size_t i = 0; i < g_dir.num_nodes(); i++) {
node_orbits.push_back(result.node_orbits[i]);
}
std::cout<<std::endl;
std::cout<<"// Adding directed edges between the nodes that share initial orbits."<<std::endl;
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
std::cout<<"Node Orbits: "<<vec_as_string(node_orbits)<<std::endl;
std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
std::cout<<std::endl<<std::endl
<<"###################################################"<<std::endl
<<"Checking Traces on Real-World Graphs"<<std::endl
<<"###################################################"<<std::endl
<<std::endl;
options.get_node_orbits = true;
options.get_edge_orbits = true;
options.get_canonical_node_order = true;
bool directed = true;
NTSparseGraph real_graph(directed);
std::vector<std::string> graph_names =
{"karate.txt", "convote.txt", "cora.txt"};
std::string graph_name;
for (auto gn_itr = graph_names.begin(); gn_itr != graph_names.end(); gn_itr++) {
graph_name = *gn_itr;
real_graph = read_graph(directed, "nt_test_graphs/" + graph_name);
#ifdef SCHENO__NT_SPARSE_GRAPH_FULL_DEBUG_MODE
consistency_check(real_graph);
#endif
std::cout<<std::endl;
std::cout<<"// Running on "<<graph_name<<" as a directed graph."<<std::endl;
std::cout<<"// Num Nodes: "<<real_graph.num_nodes()<<" Num Edges: "<<real_graph.num_edges()<<std::endl;
result = traces(real_graph, options);
std::cout<<"|Aut(G)| = "<<result.num_aut_base<<" x 10^"<<result.num_aut_exponent<<std::endl;
std::cout<<"Num Orbits: "<<result.num_node_orbits<<std::endl;
std::cout<<"Error Status: "<<result.error_status<<std::endl;
}
// std::cout<<"Node Orbits: "<<vec_as_string(result.node_orbits)<<std::endl;
// std::cout<<"Canonical Order: "<<vec_as_string(result.canonical_node_order)<<std::endl;
return 0;
};