move init and free to functions

.gitignore

@@ -1 +1,3 @@
 *.x64
+gmon.out
+prof_output

csv/5n.csv

@@ -1,7 +1,5 @@
-0;0;0;0;0;0;0
-0;0;0;0;1;0;0
-0;0;0;0;0;0;0
-0;0;0;0;1;0;0
-0;1;0;1;0;0;0
-0;0;0;0;0;0;1
-0;0;0;0;0;1;0
+0;0;1;0;0
+0;0;1;0;0
+1;1;0;1;1
+0;0;1;0;1
+0;0;1;1;0

csv/7n.csv

@@ -0,0 +1,7 @@
+0;0;0;0;0;0;0
+0;0;0;0;1;0;0
+0;0;0;0;0;0;0
+0;0;0;0;1;0;0
+0;1;0;1;0;0;0
+0;0;0;0;0;0;1
+0;0;0;0;0;1;0

csv/art-brck.csv

@@ -1,5 +0,0 @@
-0;0;1;1;0
-0;0;1;1;0
-1;1;0;1;0
-1;1;1;0;1
-0;0;0;1;0

csv/graph.csv

@@ -1,5 +0,0 @@
-0;0;1;0;0
-0;0;1;0;0
-1;1;0;1;1
-0;0;1;0;1
-0;0;1;1;0

graph.c

@@ -1,47 +1,65 @@
-#include <stdint.h>
-#include <stdio.h>
+#include "graph.h"
+#include "matrix.h"
+#include <string.h>
 #include <time.h>
 #include <stdlib.h>
-#include "matrix.h"
 
-void random_adjacency(const uint64_t vertex_count, uint64_t matrix[vertex_count][vertex_count]) {
+void random_adjacency(const ulong vertex_count, ulong matrix[vertex_count][vertex_count]) {
     srand(time(NULL));
 
-    for (uint64_t row_index = 0; row_index < vertex_count; row_index++) {
-        for (uint64_t column_index = 0; column_index < vertex_count; column_index++) {
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
             if (column_index == row_index) {
                 matrix[row_index][column_index] = 0;
-                continue;
-            }
+            } else {
                 matrix[row_index][column_index] = rand() % 2;
             }
         }
+    }
 }
 
-void calculate_distance_matrix(const uint64_t vertex_count, const uint64_t adjacency_matrix[vertex_count][vertex_count], uint64_t distance_matrix[vertex_count][vertex_count]) {
-    uint64_t power_matrix[vertex_count][vertex_count];
-    uint64_t temp_power_matrix[vertex_count][vertex_count];
-    copy(vertex_count, vertex_count, adjacency_matrix, power_matrix);
+void random_adjacency_struct(const Matrix *matrix) {
+    if (matrix->row_length != matrix->column_length) {
+        return;
+    }
 
-    for (uint64_t row_index = 0; row_index < vertex_count; row_index++) {
-        for (uint64_t column_index = 0; column_index < vertex_count; column_index++) {
+    srand(time(NULL));
+
+    for (ulong row_index = 0; row_index < matrix->row_length; row_index++) {
+        for (ulong column_index = 0; column_index < matrix->column_length; column_index++) {
+            if (column_index == row_index) {
+                matrix->values[row_index][column_index] = 0;
+            } else {
+                matrix->values[row_index][column_index] = rand() % 2;
+            }
+        }
+    }
+}
+
+void calculate_distance_matrix(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count], ulong distance_matrix[vertex_count][vertex_count]) {
+    ulong power_matrix[vertex_count][vertex_count];
+    ulong temp_power_matrix[vertex_count][vertex_count];
+    memcpy(power_matrix, adjacency_matrix, vertex_count * vertex_count * sizeof(ulong));
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
             if (row_index == column_index) {
                 distance_matrix[row_index][column_index] = 0;
             } else if (adjacency_matrix[row_index][column_index] == 1) {
                 distance_matrix[row_index][column_index] = 1;
             } else {
-                distance_matrix[row_index][column_index] = UINT64_MAX;
+                distance_matrix[row_index][column_index] = -1;
             }
         }
     }
 
-    for(uint64_t k = 2; k <= vertex_count; k++) {
-        copy(vertex_count, vertex_count, power_matrix, temp_power_matrix);
-        matrix_multiply_basic(vertex_count, vertex_count, adjacency_matrix, vertex_count, vertex_count, temp_power_matrix, power_matrix);
+    for(ulong k = 2; k <= vertex_count; k++) {
+        memcpy(temp_power_matrix, power_matrix, vertex_count * vertex_count * sizeof(ulong));
+        gemm_basic(vertex_count, vertex_count, adjacency_matrix, vertex_count, vertex_count, temp_power_matrix, power_matrix);
 
-        for (uint64_t row_index = 0; row_index < vertex_count; row_index++) {
-            for (uint64_t column_index = 0; column_index < vertex_count; column_index++) {
-                if (power_matrix[row_index][column_index] != 0 && distance_matrix[row_index][column_index] == UINT64_MAX) {
+        for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+            for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+                if (power_matrix[row_index][column_index] != 0 && distance_matrix[row_index][column_index] == -1) {
                     distance_matrix[row_index][column_index] = k;
                 }
             }
@@ -49,5 +67,431 @@ void calculate_distance_matrix(const uint64_t vertex_count, const uint64_t adjac
     }
 }
 
-void calculate_eccentricities(const uint64_t vertex_count, const uint64_t output_arraay[vertex_count]) {
+int get_eccentricities(const ulong vertex_count, const ulong distance_matrix[vertex_count][vertex_count], ulong eccentricities[vertex_count]) {
+    ulong eccentricity;
+
+    // set all eccentricities to infinity in case this is a disconnected graph
+    for (ulong index = 0; index < vertex_count; index++) {
+        eccentricities[index] = -1;
+    }
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        eccentricity = 0;
+
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (distance_matrix[row_index][column_index] > eccentricity) {
+                eccentricity = distance_matrix[row_index][column_index];
+            }
+        }
+        // in case of a disconnected graph
+        if (eccentricity == 0) {
+            return 1;
+        }
+        eccentricities[row_index] = eccentricity;
+    }
+
+    return 0;
+}
+
+ulong get_radius(const ulong vertex_count, const ulong eccentricities[vertex_count]) {
+    ulong radius = -1;
+
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (eccentricities[index] < radius) {
+            radius = eccentricities[index];
+        }
+    }
+
+    return radius;
+}
+
+ulong get_diameter(const ulong vertex_count, const ulong eccentricities[vertex_count]) {
+    ulong diamter = 0;
+
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (eccentricities[index] > diamter) {
+            diamter = eccentricities[index];
+        }
+    }
+
+    return diamter;
+}
+
+void get_centre(const ulong vertex_count, const ulong eccentricities[vertex_count], const ulong radius, ulong centre[vertex_count]) {
+    memset(centre, 0, vertex_count * sizeof(ulong));
+
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (eccentricities[index] == radius) {
+            centre[index] = 1;
+        }
+    }
+}
+
+void calculate_path_matrix(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count], ulong path_matrix[vertex_count][vertex_count]) {
+    ulong power_matrix[vertex_count][vertex_count];
+    ulong temp_power_matrix[vertex_count][vertex_count];
+    memcpy(power_matrix, adjacency_matrix, vertex_count * vertex_count * sizeof(ulong));
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (row_index == column_index || adjacency_matrix[row_index][column_index] == 1) {
+                path_matrix[row_index][column_index] = 1;
+            } else {
+                path_matrix[row_index][column_index] = 0;
+            }
+        }
+    }
+
+    for(ulong k = 2; k <= vertex_count; k++) {
+        memcpy(temp_power_matrix, power_matrix, vertex_count * vertex_count * sizeof(ulong));
+        gemm_basic(vertex_count, vertex_count, adjacency_matrix, vertex_count, vertex_count, temp_power_matrix, power_matrix);
+
+        for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+            for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+                if (power_matrix[row_index][column_index] != 0) {
+                    path_matrix[row_index][column_index] = 1;
+                }
+            }
+        }
+    }
+}
+
+void find_components_basic(const ulong vertex_count, const ulong path_matrix[vertex_count][vertex_count], ulong components[vertex_count][vertex_count]) {
+    ulong component[vertex_count];
+    int contains_component;
+
+    memset(components, 0, vertex_count * vertex_count * sizeof(ulong));
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        memset(component, 0, vertex_count * sizeof(ulong));
+        contains_component = 0;
+
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (path_matrix[row_index][column_index] == 1) {
+                component[column_index] = column_index + 1;
+            }
+        }
+
+        for (ulong index = 0; index < vertex_count; index++) {
+            if (memcmp(components[index], component, vertex_count * sizeof(ulong)) == 0) {
+                contains_component = 1;
+            }
+        }
+
+        if (!contains_component) {
+            for (ulong index = 0; index < vertex_count; index++) {
+                components[row_index][index] = component[index];
+            }
+        }
+    }
+}
+
+void dfs(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count], const ulong vertex, ulong visited[vertex_count]) {
+    visited[vertex] = 1;
+
+    for (ulong neighbor_vertex = 0; neighbor_vertex < vertex_count; neighbor_vertex++) {
+        if (adjacency_matrix[vertex][neighbor_vertex] != 1) {
+            continue;
+        }
+        if (visited[neighbor_vertex]) {
+            continue;
+        }
+        dfs(vertex_count, adjacency_matrix, neighbor_vertex, visited);
+    }
+}
+
+void find_components_dfs(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count], ulong components[vertex_count][vertex_count]) {
+    ulong component[vertex_count];
+    int contains_component = 0;
+
+    memset(components, 0, vertex_count * vertex_count * sizeof(ulong));
+
+    for (ulong vertex = 0; vertex < vertex_count; vertex++) {
+        memset(component, 0, vertex_count * sizeof(ulong));
+        contains_component = 0;
+
+        dfs(vertex_count, adjacency_matrix, vertex, component);
+
+        for (ulong index = 0; index < vertex_count; index++) {
+            if (memcmp(components[index], component, vertex_count * sizeof(ulong)) == 0) {
+                contains_component = 1;
+            }
+        }
+
+        if (!contains_component) {
+            for (ulong index = 0; index < vertex_count; index++) {
+                components[vertex][index] = component[index];
+            }
+        }
+    }
+}
+
+ulong amount_of_components(const ulong vertex_count, const ulong components[vertex_count][vertex_count]) {
+    ulong amount_of_components = 0;
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (components[row_index][column_index] != 0) {
+                amount_of_components++;
+                break;
+            }
+        }
+    }
+
+    return amount_of_components;
+}
+
+int contains_bridge(const ulong vertex_count, const ulong bridges[vertex_count][2], const ulong bridge[2]) {
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (memcmp(bridges[index], bridge, 2 * sizeof(ulong)) == 0) {
+            return 1;
+        }
+    }
+
+    return 0;
+}
+
+void find_bridges_basic(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count],
+                        const ulong components[vertex_count][vertex_count], ulong bridges[vertex_count][2]) {
+    ulong path_matrix[vertex_count][vertex_count];
+    ulong temp_adjacency_matrix[vertex_count][vertex_count];
+    ulong temp_components[vertex_count][vertex_count];
+    ulong bridge[2];
+
+    memset(bridges, 0, vertex_count * 2 * sizeof(ulong));
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (row_index == column_index) {
+                continue;
+            }
+
+            if (column_index < row_index) {
+                bridge[0] = column_index + 1;
+                bridge[1] = row_index + 1;
+            } else {
+                bridge[0] = row_index + 1;
+                bridge[1] = column_index + 1;
+            }
+
+            memcpy(temp_adjacency_matrix, adjacency_matrix, vertex_count * vertex_count * sizeof(ulong));
+
+            temp_adjacency_matrix[row_index][column_index] = 0;
+            temp_adjacency_matrix[column_index][row_index] = 0;
+
+            calculate_path_matrix(vertex_count, temp_adjacency_matrix, path_matrix);
+            find_components_basic(vertex_count, path_matrix, temp_components);
+
+            if (amount_of_components(vertex_count, temp_components) > amount_of_components(vertex_count, components) && !contains_bridge(vertex_count, bridges, bridge)) {
+                bridges[row_index][0] = bridge[0];
+                bridges[row_index][1] = bridge[1];
+            }
+        }
+    }
+    print_matrix(vertex_count, 2, bridges);
+}
+
+void find_bridges_dfs_v1(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count],
+                        const ulong components[vertex_count][vertex_count], ulong bridges[vertex_count][2]) {
+    ulong temp_adjacency_matrix[vertex_count][vertex_count];
+    ulong temp_components[vertex_count][vertex_count];
+    ulong bridge[2];
+
+    memset(bridges, 0, vertex_count * 2 * sizeof(ulong));
+
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (row_index == column_index) {
+                continue;
+            }
+
+            if (column_index < row_index) {
+                bridge[0] = column_index + 1;
+                bridge[1] = row_index + 1;
+            } else {
+                bridge[0] = row_index + 1;
+                bridge[1] = column_index + 1;
+            }
+
+            memcpy(temp_adjacency_matrix, adjacency_matrix, vertex_count * vertex_count * sizeof(ulong));
+
+            temp_adjacency_matrix[row_index][column_index] = 0;
+            temp_adjacency_matrix[column_index][row_index] = 0;
+
+            find_components_dfs(vertex_count, temp_adjacency_matrix, temp_components);
+
+            if (amount_of_components(vertex_count, temp_components) > amount_of_components(vertex_count, components) && !contains_bridge(vertex_count, bridges, bridge)) {
+                bridges[row_index][0] = bridge[0];
+                bridges[row_index][1] = bridge[1];
+            }
+        }
+    }
+}
+
+void dfs_bridges(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count], const ulong vertex, const ulong parent_vertex, ulong visited[vertex_count],
+                 ulong current_time, ulong discovery_time[vertex_count], ulong lowest_time[vertex_count], ulong bridges[vertex_count][2]) {
+    current_time++;
+    visited[vertex] = 1;
+    discovery_time[vertex] = current_time;
+    lowest_time[vertex] = current_time;
+
+    for (ulong neighbor_vertex = 0; neighbor_vertex < vertex_count; neighbor_vertex++) {
+        if (adjacency_matrix[vertex][neighbor_vertex] != 1) {
+            continue;
+        }
+        if (parent_vertex != neighbor_vertex && visited[neighbor_vertex]) {
+            if (lowest_time[vertex] > discovery_time[neighbor_vertex]) {
+                lowest_time[vertex] = discovery_time[neighbor_vertex];
+            }
+            continue;
+        }
+        if (visited[neighbor_vertex]) {
+            continue;
+        }
+
+        dfs_bridges(vertex_count, adjacency_matrix, neighbor_vertex, vertex, visited, current_time, discovery_time, lowest_time, bridges);
+
+        if (lowest_time[vertex] > lowest_time[neighbor_vertex]) {
+            lowest_time[vertex] = lowest_time[neighbor_vertex];
+        }
+        if (discovery_time[vertex] < lowest_time[neighbor_vertex]) {
+            bridges[neighbor_vertex][0] = vertex + 1;
+            bridges[neighbor_vertex][1] = neighbor_vertex + 1;
+        }
+    }
+}
+
+void find_bridges_dfs_v2(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count],
+                         const ulong components[vertex_count][vertex_count], ulong bridges[vertex_count][2]) {
+    ulong visited[vertex_count];
+    ulong current_time = 0;
+    ulong discovery_time[vertex_count];
+    ulong lowest_time[vertex_count];
+
+    memset(bridges, 0, vertex_count * 2 * sizeof(ulong));
+    memset(visited, 0, vertex_count * sizeof(ulong));
+    memset(discovery_time, 0, vertex_count * sizeof(ulong));
+    memset(lowest_time, 0, vertex_count * sizeof(ulong));
+
+    for (ulong vertex = 0; vertex < vertex_count; vertex++) {
+        if (!visited[vertex]) {
+            dfs_bridges(vertex_count, adjacency_matrix, vertex, -1, visited, current_time, discovery_time, lowest_time, bridges);
+        }
+    }
+}
+
+void find_articulations_basic(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count],
+                              const ulong components[vertex_count][vertex_count], ulong articulations[vertex_count]) {
+    ulong path_matrix[vertex_count][vertex_count];
+    ulong temp_adjacency_matrix[vertex_count][vertex_count];
+    ulong temp_components[vertex_count][vertex_count];
+
+    memset(articulations, 0, vertex_count * sizeof(ulong));
+
+    for (ulong i = 0; i < vertex_count; i++) {
+        memcpy(temp_adjacency_matrix, adjacency_matrix, vertex_count * vertex_count * sizeof(ulong));
+
+        for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+            for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+                temp_adjacency_matrix[row_index][i] = 0;
+                temp_adjacency_matrix[i][column_index] = 0;
+            }
+        }
+
+        calculate_path_matrix(vertex_count, temp_adjacency_matrix, path_matrix);
+        find_components_basic(vertex_count, path_matrix, temp_components);
+
+        // the + 1 is needed because I am not removing the vertex, I am just removing all of its edges
+        // removing all of its edges, means it itself becomes a component, which needs to be accounted for
+        if (amount_of_components(vertex_count, temp_components) > amount_of_components(vertex_count, components) + 1) {
+            articulations[i] = i + 1;
+        }
+    }
+}
+
+void find_articulations_dfs_v1(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count],
+                              const ulong components[vertex_count][vertex_count], ulong articulations[vertex_count]) {
+    ulong temp_adjacency_matrix[vertex_count][vertex_count];
+    ulong temp_components[vertex_count][vertex_count];
+
+    memset(articulations, 0, vertex_count * sizeof(ulong));
+
+    for (ulong i = 0; i < vertex_count; i++) {
+        memcpy(temp_adjacency_matrix, adjacency_matrix, vertex_count * vertex_count * sizeof(ulong));
+
+        for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+            for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+                temp_adjacency_matrix[row_index][i] = 0;
+                temp_adjacency_matrix[i][column_index] = 0;
+            }
+        }
+
+        find_components_dfs(vertex_count, temp_adjacency_matrix, temp_components);
+
+        // the + 1 is needed because I am not removing the vertex, I am just removing all of its edges
+        // removing all of its edges, means it itself becomes a component, which needs to be accounted for
+        if (amount_of_components(vertex_count, temp_components) > amount_of_components(vertex_count, components) + 1) {
+            articulations[i] = i + 1;
+        }
+    }
+}
+
+void dfs_articulations(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count], const ulong vertex, const ulong parent_vertex,
+                       ulong visited[vertex_count], ulong current_time, ulong discovery_time[vertex_count], ulong lowest_time[vertex_count],
+                       ulong articulations[vertex_count]) {
+    current_time++;
+    visited[vertex] = 1;
+    discovery_time[vertex] = current_time;
+    lowest_time[vertex] = current_time;
+    ulong child_count = 0;
+    ulong is_articulation = 0;
+
+    for (ulong neighbor_vertex = 0; neighbor_vertex < vertex_count; neighbor_vertex++) {
+        if (adjacency_matrix[vertex][neighbor_vertex] != 1) {
+            continue;
+        }
+        if (visited[neighbor_vertex]) {
+            if (lowest_time[vertex] > discovery_time[neighbor_vertex]) {
+                lowest_time[vertex] = discovery_time[neighbor_vertex];
+            }
+            continue;
+        }
+
+        child_count++;
+
+        dfs_articulations(vertex_count, adjacency_matrix, neighbor_vertex, vertex, visited, current_time, discovery_time, lowest_time, articulations);
+
+        if (lowest_time[vertex] > lowest_time[neighbor_vertex]) {
+            lowest_time[vertex] = lowest_time[neighbor_vertex];
+        }
+
+        if (parent_vertex != -1 && discovery_time[vertex] <= lowest_time[neighbor_vertex]) {
+            is_articulation = 1;
+        }
+    }
+    if (parent_vertex == -1 && child_count > 1) {
+        is_articulation = 1;
+    }
+    if (is_articulation) {
+        articulations[vertex] = vertex + 1;
+    }
+}
+
+void find_articulations_dfs_v2(const ulong vertex_count, const ulong adjacency_matrix[vertex_count][vertex_count],
+                         const ulong components[vertex_count][vertex_count], ulong articulations[vertex_count]) {
+    ulong visited[vertex_count];
+    ulong current_time = 0;
+    ulong discovery_time[vertex_count];
+    ulong lowest_time[vertex_count];
+
+    memset(articulations, 0, vertex_count * sizeof(ulong));
+    memset(visited, 0, vertex_count * sizeof(ulong));
+    memset(discovery_time, 0, vertex_count * sizeof(ulong));
+    memset(lowest_time, 0, vertex_count * sizeof(ulong));
+
+    for (ulong vertex = 0; vertex < vertex_count; vertex++) {
+        if (!visited[vertex]) {
+            dfs_articulations(vertex_count, adjacency_matrix, vertex, -1, visited, current_time, discovery_time, lowest_time, articulations);
+        }
+    }
 }

graph.h

@@ -1,13 +1,73 @@
 #ifndef GRAPH_H
 #define GRAPH_H
 
-#include <stdint.h>
+#include "matrix.h"
 
-void random_adjacency(const uint64_t vertex_count,
-                      uint64_t matrix[vertex_count][vertex_count]);
+void random_adjacency(const ulong vertex_count,
+                      ulong matrix[vertex_count][vertex_count]);
 
-void calculate_distance_matrix(const uint64_t vertex_count,
-                              const uint64_t adjacency_matrix[vertex_count][vertex_count],
-                              uint64_t distance_matrix[vertex_count][vertex_count]);
+void random_adjacency_struct(const Matrix *matrix);
+
+void calculate_distance_matrix(const ulong vertex_count,
+                               const ulong adjacency_matrix[vertex_count][vertex_count],
+                               ulong distance_matrix[vertex_count][vertex_count]);
+
+// returns 1 if it is a disconnected graph and sets all values in eccentricities to UINT64_MAX
+int get_eccentricities(const ulong vertex_count,
+                       const ulong distance_matrix[vertex_count][vertex_count],
+                       ulong eccentricities[vertex_count]);
+
+ulong get_radius(const ulong vertex_count,
+                    const ulong eccentricities[vertex_count]);
+
+ulong get_diameter(const ulong vertex_count,
+                      const ulong eccentricities[vertex_count]);
+
+void get_centre(const ulong vertex_count,
+                const ulong eccentricities[vertex_count],
+                const ulong radius,
+                ulong centre[vertex_count]);
+
+void calculate_path_matrix(const ulong vertex_count,
+                           const ulong adjacency_matrix[vertex_count][vertex_count],
+                           ulong path_matrix[vertex_count][vertex_count]);
+
+void find_components_basic(const ulong vertex_count,
+                           const ulong path_matrix[vertex_count][vertex_count],
+                           ulong components[vertex_count][vertex_count]);
+
+void find_components_dfs(const ulong vertex_count,
+                         const ulong adjacency_matrix[vertex_count][vertex_count],
+                         ulong components[vertex_count][vertex_count]);
+
+void find_bridges_basic(const ulong vertex_count,
+                        const ulong adjacency_matrix[vertex_count][vertex_count],
+                        const ulong components[vertex_count][vertex_count],
+                        ulong bridges[vertex_count][2]);
+
+void find_bridges_dfs_v1(const ulong vertex_count,
+                         const ulong adjacency_matrix[vertex_count][vertex_count],
+                         const ulong components[vertex_count][vertex_count],
+                         ulong bridges[vertex_count][2]);
+
+void find_bridges_dfs_v2(const ulong vertex_count,
+                         const ulong adjacency_matrix[vertex_count][vertex_count],
+                         const ulong components[vertex_count][vertex_count],
+                         ulong bridges[vertex_count][2]);
+
+void find_articulations_basic(const ulong vertex_count,
+                              const ulong adjacency_matrix[vertex_count][vertex_count],
+                              const ulong components[vertex_count][vertex_count],
+                              ulong articulations[vertex_count]);
+
+void find_articulations_dfs_v1(const ulong vertex_count,
+                               const ulong adjacency_matrix[vertex_count][vertex_count],
+                               const ulong components[vertex_count][vertex_count],
+                               ulong articulations[vertex_count]);
+
+void find_articulations_dfs_v2(const ulong vertex_count,
+                               const ulong adjacency_matrix[vertex_count][vertex_count],
+                               const ulong components[vertex_count][vertex_count],
+                               ulong articulations[vertex_count]);
 
 #endif

main.c

@@ -1,81 +1,294 @@
 #include "graph.h"
-#include "matrix.h"
-#include <stdint.h>
 #include <stdio.h>
 #include <time.h>
+#include <stdlib.h>
 
-void benchmark() {
-    const uint64_t row_length1 = 100, column_length1 = 100;
-    uint64_t matrix1[row_length1][column_length1];
-
-    const uint64_t row_length2 = 100, column_length2 = 100;
-    uint64_t matrix2[row_length2][column_length2];
-
-    uint64_t new_matrix[row_length1][column_length2];
+void benchmark_gemm() {
+    const ulong vertex_count = 100;
+    ulong adjacency_matrix1[vertex_count][vertex_count];
+    ulong adjacency_matrix2[vertex_count][vertex_count];
+    ulong dot_product[vertex_count][vertex_count];
 
     double elapsed_time = 0.0;
-    const uint64_t iterations = 10000;
+    const ulong iterations = 10;
     clock_t start_time;
 
-    for (uint64_t i = 0; i < iterations; i++) {
-        random_adjacency(row_length1, matrix1);
-        random_adjacency(row_length2, matrix2);;
+    for (ulong i = 0; i < iterations; i++) {
+        random_adjacency(vertex_count, adjacency_matrix1);
+        random_adjacency(vertex_count, adjacency_matrix2);
 
         start_time = clock();
 
-        matrix_multiply_basic(row_length1, column_length1, matrix1,
-                              row_length2, column_length2, matrix2,
-                              new_matrix);
+        gemm_basic(vertex_count, vertex_count, adjacency_matrix1,
+                   vertex_count, vertex_count, adjacency_matrix2,
+                   dot_product);
 
         elapsed_time += (double)(clock() - start_time) / CLOCKS_PER_SEC;
     }
 
-    printf("%lu iterations of matrix_multiply_basic took roughly %f seconds\n", iterations, elapsed_time);
-    printf("An iteration of matrix_multiply_basic took on average roughly %f seconds\n", elapsed_time/iterations);
+    printf("%lu iterations of gemm_basic took roughly %f seconds\n", iterations, elapsed_time);
+    printf("An iteration of gemm_basic took on average roughly %f seconds\n", elapsed_time/iterations);
 }
 
-void test() {
-    const uint64_t vertex_count = 5;
-    uint64_t adjacency_matrix[vertex_count][vertex_count];
+void benchmark_find_components() {
+    const ulong vertex_count = 100;
+    ulong adjacency_matrix[vertex_count][vertex_count];
+    ulong components[vertex_count][vertex_count];
+    ulong path_matrix[vertex_count][vertex_count];
 
-    read_csv("csv/graph.csv", vertex_count, vertex_count, adjacency_matrix);
+    double elapsed_time = 0.0;
+    const ulong iterations = 100;
+    clock_t start_time;
 
-    printf("G:\n");
-    print_matrix(vertex_count, vertex_count, adjacency_matrix);
-    printf("\n");
+    for (ulong i = 0; i < iterations; i++) {
+        random_adjacency(vertex_count, adjacency_matrix);
 
-    // uint64_t new_matrix1[vertex_count][vertex_count];
-    //
-    // matrix_multiply_basic(vertex_count, vertex_count, adjacency_matrix,
-    //                       vertex_count, vertex_count, adjacency_matrix,
-    //                       new_matrix1);
-    //
-    // printf("G²:\n");
-    // print_matrix(vertex_count, vertex_count, new_matrix1);
-    // printf("\n");
-    //
-    // uint64_t new_matrix2[vertex_count][vertex_count];
-    //
-    // copy(vertex_count, vertex_count, new_matrix1, new_matrix2);
-    //
-    // matrix_multiply_basic(vertex_count, vertex_count, new_matrix1,
-    //                       vertex_count, vertex_count, adjacency_matrix,
-    //                       new_matrix2);
-    //
-    // printf("G³:\n");
-    // print_matrix(vertex_count, vertex_count, new_matrix2);
-    // printf("\n");
+        start_time = clock();
 
-    uint64_t distance_matrix[vertex_count][vertex_count];
+        calculate_path_matrix(vertex_count, adjacency_matrix, path_matrix);
+        find_components_basic(vertex_count, path_matrix, components);
+
+        elapsed_time += (double)(clock() - start_time) / CLOCKS_PER_SEC;
+    }
+
+    printf("%lu iterations of find_components_basic took roughly %f seconds\n", iterations, elapsed_time);
+    printf("An iteration of find_components_basic took on average roughly %f seconds\n", elapsed_time/iterations);
+
+    elapsed_time = 0.0;
+
+    for (ulong i = 0; i < iterations; i++) {
+        random_adjacency(vertex_count, adjacency_matrix);
+
+        start_time = clock();
+
+        find_components_dfs(vertex_count, adjacency_matrix, components);
+
+        elapsed_time += (double)(clock() - start_time) / CLOCKS_PER_SEC;
+    }
+
+    printf("%lu iterations of find_components_dfs took roughly %f seconds\n", iterations, elapsed_time);
+    printf("An iteration of find_components_dfs took on average roughly %f seconds\n", elapsed_time/iterations);
+}
+
+void test_with_basic() {
+    const ulong vertex_count = 24;
+    ulong adjacency_matrix[vertex_count][vertex_count];
+    ulong distance_matrix[vertex_count][vertex_count];
+    ulong path_matrix[vertex_count][vertex_count];
+    ulong eccentricities[vertex_count];
+    ulong radius, diameter, centre[vertex_count];
+    ulong components[vertex_count][vertex_count];
+    ulong bridges[vertex_count][2];
+    ulong articulations[vertex_count];
+
+    if (read_csv("csv/24n.csv", vertex_count, vertex_count, adjacency_matrix) == 1) {
+        return;
+    }
 
     calculate_distance_matrix(vertex_count, adjacency_matrix, distance_matrix);
+    get_eccentricities(vertex_count, distance_matrix, eccentricities);
+    radius = get_radius(vertex_count, eccentricities);
+    diameter = get_diameter(vertex_count, eccentricities);
+    get_centre(vertex_count, eccentricities, radius, centre);
+    calculate_path_matrix(vertex_count, adjacency_matrix, path_matrix);
+    find_components_basic(vertex_count, path_matrix, components);
+    find_bridges_basic(vertex_count, adjacency_matrix, components, bridges);
+    find_articulations_basic(vertex_count, adjacency_matrix, components, articulations);
 
-    printf("distance_matrix:\n");
+    puts("adjacency_matrix:");
+    print_matrix(vertex_count, vertex_count, adjacency_matrix);
+
+    puts("\ndistance_matrix:");
     print_matrix(vertex_count, vertex_count, distance_matrix);
-    printf("\n");
+
+    puts("\neccentricities:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        printf("\tVertex %lu: %lu\n", index + 1,  eccentricities[index]);
+    }
+
+    printf("\nradius: %lu", radius);
+    printf("\ndiameter: %lu", diameter);
+    puts("\ncentre:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (centre[index] == 1) {
+            printf("\tVertex %lu\n", index + 1);
+        }
+    }
+
+    puts("\npath_matrix:");
+    print_matrix(vertex_count, vertex_count, path_matrix);
+
+    puts("\ncomponents:");
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        int empty = 1;
+
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (components[row_index][column_index] != 0) {
+                empty = 0;
+            }
+        }
+
+        if (empty) {
+            continue;
+        }
+
+        printf("\tComponent %lu: {", row_index + 1);
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (components[row_index][column_index] != 0) {
+                printf("%lu, ", components[row_index][column_index]);
+            }
+        }
+        puts("}");
+    }
+
+    puts("\nbridges:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (bridges[index][0] != 0) {
+            printf("\tBridge %lu: {%lu, %lu}\n", index + 1, bridges[index][0], bridges[index][1]);
+        }
+    }
+
+    puts("\narticulations:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (articulations[index] != 0) {
+            printf("\tVertex %lu\n", articulations[index]);
+        }
+    }
+}
+
+void test_with_dfs() {
+    const ulong vertex_count = 24;
+    ulong adjacency_matrix[vertex_count][vertex_count];
+    ulong distance_matrix[vertex_count][vertex_count];
+    ulong eccentricities[vertex_count];
+    ulong radius, diameter;
+    ulong centre[vertex_count];
+    ulong components[vertex_count][vertex_count];
+    ulong bridges[vertex_count][2];
+    ulong articulations[vertex_count];
+
+    if (read_csv("csv/24n.csv", vertex_count, vertex_count, adjacency_matrix) == 1) {
+        return;
+    }
+
+    /*
+    const ulong vertex_count = 1500;
+    ulong (*adjacency_matrix)[vertex_count] = malloc(vertex_count * vertex_count * sizeof(ulong));
+    ulong (*distance_matrix)[vertex_count] = malloc(vertex_count * vertex_count * sizeof(ulong));
+    ulong *eccentricities = malloc(vertex_count * sizeof(ulong));
+    ulong radius, diameter;
+    ulong *centre = malloc(vertex_count * sizeof(ulong));
+    ulong (*components)[vertex_count] = malloc(vertex_count * vertex_count * sizeof(ulong));
+    ulong (*bridges)[vertex_count] = malloc(vertex_count * 2 * sizeof(ulong));
+    ulong *articulations = malloc(vertex_count * sizeof(ulong));
+
+    random_adjacency(vertex_count, adjacency_matrix);
+    */
+
+    calculate_distance_matrix(vertex_count, adjacency_matrix, distance_matrix);
+    get_eccentricities(vertex_count, distance_matrix, eccentricities);
+    radius = get_radius(vertex_count, eccentricities);
+    diameter = get_diameter(vertex_count, eccentricities);
+    get_centre(vertex_count, eccentricities, radius, centre);
+    find_components_dfs(vertex_count, adjacency_matrix, components);
+    find_bridges_dfs_v2(vertex_count, adjacency_matrix, components, bridges);
+    find_articulations_dfs_v2(vertex_count, adjacency_matrix, components, articulations);
+
+    puts("\nadjacency_matrix:");
+    print_matrix(vertex_count, vertex_count, adjacency_matrix);
+
+    puts("\ndistance_matrix:");
+    print_matrix(vertex_count, vertex_count, distance_matrix);
+
+    puts("\neccentricities:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        printf("\tVertex %lu: %lu\n", index + 1,  eccentricities[index]);
+    }
+
+    printf("\nradius: %lu", radius);
+    printf("\ndiameter: %lu", diameter);
+    puts("\ncentre:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (centre[index] == 1) {
+            printf("\tVertex %lu\n", index + 1);
+        }
+    }
+
+    puts("\ncomponents:");
+    for (ulong row_index = 0; row_index < vertex_count; row_index++) {
+        int empty = 1;
+
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (components[row_index][column_index] != 0) {
+                empty = 0;
+            }
+        }
+
+        if (empty) {
+            continue;
+        }
+
+        printf("\tComponent %lu: {", row_index + 1);
+        for (ulong column_index = 0; column_index < vertex_count; column_index++) {
+            if (components[row_index][column_index] != 0) {
+                printf("%lu, ", column_index + 1);
+            }
+        }
+        puts("}");
+    }
+
+    ulong bridge_number = 1;
+    puts("\nbridges:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (bridges[index][0] != 0) {
+            printf("\tBridge %lu: {%lu, %lu}\n", bridge_number, bridges[index][0], bridges[index][1]);
+            bridge_number++;
+        }
+    }
+
+    puts("\narticulations:");
+    for (ulong index = 0; index < vertex_count; index++) {
+        if (articulations[index] != 0) {
+            printf("\tVertex %lu\n", articulations[index]);
+        }
+    }
+
+    // free(adjacency_matrix);
+    // free(distance_matrix);
+    // free(eccentricities);
+    // free(centre);
+    // free(components);
+    // free(bridges);
+    // free(articulations);
+}
+
+void test_with_structs() {
+    ulong row_length = 5, column_length = 5;
+
+    Matrix *adjacency_matrix1 = create_matrix(row_length, column_length);
+    Matrix *adjacency_matrix2 = create_matrix(row_length, column_length);
+    Matrix *dot_product = create_matrix(row_length, column_length);
+
+    random_adjacency_struct(adjacency_matrix1);
+    print_matrix_struct(adjacency_matrix1);
+    putchar('\n');
+
+    random_adjacency_struct(adjacency_matrix2);
+    print_matrix_struct(adjacency_matrix2);
+    putchar('\n');
+
+    gemm_basic_structs(adjacency_matrix1, adjacency_matrix2,dot_product);
+    print_matrix_struct(dot_product);
+
+    free_matrix(adjacency_matrix1);
+    free_matrix(adjacency_matrix2);
+    free_matrix(dot_product);
 }
 
 int main(void) {
-    test();
-    // benchmark();
+    // benchmark_gemm();
+    // benchmark_find_components();
+    // test_with_basic();
+    // test_with_dfs();
+    test_with_structs();
 }

matrix.c

@@ -1,54 +1,71 @@
-#include <stddef.h>
-#include <stdint.h>
+#include "matrix.h"
 #include <stdio.h>
 #include <stdlib.h>
 #include <string.h>
 #include <time.h>
 
-void print_matrix(const uint64_t row_length, const uint64_t column_length, const uint64_t matrix[row_length][column_length]) {
-    for (uint64_t column_index=0; column_index < column_length; column_index++) {
-        for (uint64_t row_index=0; row_index < row_length; row_index++) {
+void print_matrix(const ulong row_length, const ulong column_length, const ulong matrix[row_length][column_length]) {
+    for (ulong column_index=0; column_index < column_length; column_index++) {
+        for (ulong row_index=0; row_index < row_length; row_index++) {
             printf("%lu ", matrix[row_index][column_index]);
         }
-        printf("\n");
+        puts("");
     }
 }
 
-int matrix_multiply_basic(const uint64_t row_length1, const uint64_t column_length1, const uint64_t matrix1[row_length1][column_length1],
-                          const uint64_t row_length2, const uint64_t column_length2, const uint64_t matrix2[row_length2][column_length2],
-                          uint64_t output_matrix[row_length1][column_length2]) {
-
-    if (row_length1 != column_length2) {
-        return 1;
+void print_matrix_struct(const Matrix *matrix) {
+    for (ulong column_index=0; column_index < matrix->column_length; column_index++) {
+        for (ulong row_index=0; row_index < matrix->row_length; row_index++) {
+            printf("%lu ", matrix->values[row_index][column_index]);
         }
+        puts("");
+    }
+}
 
-    uint64_t sum;
+void gemm_basic(const ulong row_length1, const ulong column_length1, const ulong matrix1[row_length1][column_length1],
+                          const ulong row_length2, const ulong column_length2, const ulong matrix2[row_length2][column_length2],
+                          ulong output_matrix[row_length1][column_length2]) {
+    ulong sum;
 
-    for (uint64_t i = 0; i < row_length1; i++) {
-        for (uint64_t j = 0; j < column_length2; j++) {
+    for (ulong i = 0; i < row_length1; i++) {
+        for (ulong j = 0; j < column_length2; j++) {
             sum = 0;
 
-            for (uint64_t k = 0; k <row_length1; k++) {
+            for (ulong k = 0; k < row_length1; k++) {
                 sum += matrix1[i][k] * matrix2[k][j];
             }
 
             output_matrix[i][j] = sum;
         }
     }
-
-    return 0;
 }
 
-int read_csv(const char *file_name, const uint64_t row_length, const uint64_t column_length, uint64_t output_matrix[row_length][column_length]) {
+void gemm_basic_structs(const Matrix *matrix1, const Matrix *matrix2, Matrix *output_matrix) {
+    ulong sum;
+
+    for (ulong i = 0; i < matrix1->row_length; i++) {
+        for (ulong j = 0; j < matrix2->column_length; j++) {
+            sum = 0;
+
+            for (ulong k = 0; k < matrix1->row_length; k++) {
+                sum += matrix1->values[i][k] * matrix2->values[k][j];
+            }
+
+            output_matrix->values[i][j] = sum;
+        }
+    }
+}
+
+int read_csv(const char *file_name, const ulong row_length, const ulong column_length, ulong output_matrix[row_length][column_length]) {
     FILE *file_ptr;
-    uint64_t bufsize = row_length*2; // have to account for delimiters
+    ulong bufsize = row_length*2+1; // have to account for delimiters
     char buffer[bufsize];
     char *value, *file_line;
-    uint64_t row_index = 0, column_index = 0;
+    ulong row_index = 0, column_index = 0;
 
     file_ptr = fopen(file_name, "r");
     if (file_ptr == NULL) {
-        printf("Unable to open csv\n");
+        puts("Unable to open csv");
         return 1;
     }
 
@@ -77,9 +94,26 @@ int read_csv(const char *file_name, const uint64_t row_length, const uint64_t co
     return 0;
 }
 
-void copy(const uint64_t row_length, const uint64_t column_length, const uint64_t input_matrix[row_length][column_length], uint64_t output_matrix[row_length][column_length]) {
-    // loop should technically not be needed, but I cannot figure out the required size of __n.
-    for (uint64_t row_index = 0; row_index < row_length; row_index++) {
-        memcpy(output_matrix[row_index], input_matrix[row_index], sizeof(output_matrix[row_index]));
+Matrix* create_matrix(ulong row_length, ulong column_length) {
+    ulong **values = (ulong**)malloc(row_length * sizeof(ulong*));
+
+
+    for (ulong index = 0; index < row_length; index++) {
+        values[index] = (ulong*)malloc(column_length * sizeof(ulong));
     }
+
+    Matrix *matrix = malloc(sizeof(Matrix));
+    matrix->row_length = row_length;
+    matrix->column_length = column_length;
+    matrix->values = values;
+
+    return matrix;
+}
+
+void free_matrix(Matrix *matrix) {
+    for (ulong index = 0; index < matrix->row_length; index++) {
+        free(matrix->values[index]);
+    }
+
+    free(matrix->values);
 }

matrix.h

@@ -1,34 +1,34 @@
 #ifndef MATRIX_H
 #define MATRIX_H
 
-#include <stdint.h>
+typedef unsigned long ulong;
+typedef struct matrix {ulong row_length; ulong column_length; ulong **values;} Matrix;
 
-void print_matrix(const uint64_t row_length,
-                  const uint64_t column_length,
-                  const uint64_t matrix[row_length][column_length]);
+void print_matrix(const ulong row_length, const ulong column_length,
+                  const ulong matrix[row_length][column_length]);
+
+void print_matrix_struct(const Matrix *matrix);
 
 /*
     First two matrices will be multiplied and
     restult will be written to output_matrix.
-    Matrix requirements are as specified in the parameters.
-    Function return 0 on success and 1 on failure.
+    Matrix size requirements are as specified in the parameters.
 */
-int matrix_multiply_basic(const uint64_t row_length1,
-                          const uint64_t column_length1,
-                          const uint64_t matrix1[row_length1][column_length1],
-                          const uint64_t row_length2,
-                          const uint64_t column_length2,
-                          const uint64_t matrix2[row_length2][column_length2],
-                          uint64_t output_matrix[row_length1][column_length2]);
+void gemm_basic(const ulong row_length1, const ulong column_length1,
+                const ulong matrix1[row_length1][column_length1],
+                const ulong row_length2, const ulong column_length2,
+                const ulong matrix2[row_length2][column_length2],
+                ulong output_matrix[row_length1][column_length2]);
 
-int read_csv(char *file_name,
-             uint64_t row_length,
-             uint64_t column_length,
-             uint64_t output_matrix[row_length][column_length]);
+void gemm_basic_structs(const Matrix *matrix1, const Matrix *matrix2,
+                        Matrix *output_matrix);
 
-void copy(const uint64_t row_length,
-          const uint64_t column_length,
-          const uint64_t input_matrix[row_length][column_length],
-          uint64_t output_matrix[row_length][column_length]);
+int read_csv(const char *file_name, const ulong row_length,
+             const ulong column_length,
+             ulong output_matrix[row_length][column_length]);
+
+Matrix* create_matrix(ulong row_length, ulong column_length);
+
+void free_matrix(Matrix *matrix);
 
 #endif