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Added test cases in greedy_algorithms\kruskals_minimum_spanning_tree.cpp #2727

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Merged
merged 9 commits into from
Sep 13, 2024
Merged

Added test cases in greedy_algorithms\kruskals_minimum_spanning_tree.cpp #2727

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dd0cf9b
Added test cases in greedy_algorithms\kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 9, 2024
d9196d3
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 11, 2024
5ed4617
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 11, 2024
5b88f0e
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 11, 2024
c4eb279
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 11, 2024
34def8f
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 11, 2024
9620859
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 11, 2024
3bf2999
Update kruskals_minimum_spanning_tree.cpp
Monalisa0311 Sep 12, 2024
de4469c
Merge branch 'master' into fix/2509-added-test-case
realstealthninja Sep 13, 2024
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183 changes: 168 additions & 15 deletions greedy_algorithms/kruskals_minimum_spanning_tree.cpp
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Original file line number Diff line number Diff line change
Expand Up @@ -20,6 +20,7 @@

#include <array> /// for array
#include <iostream> /// for IO operations
#include <limits> /// for numeric limits

/**
* @namespace
Expand All @@ -32,14 +33,19 @@ namespace greedy_algorithms {
* @param graph The graph that will be used to find the edge
* @returns void
*/
template <typename T>
void findMinimumEdge(const int &infinity,
const std::array<std::array<T, 6>, 6> &graph) {
template <typename T, std::size_t N, std::size_t M>
void findMinimumEdge(const T &infinity,
const std::array<std::array<T, N>, M> &graph) {
if (N != M) {
std::cout << "\nWrong input passed. Provided array has dimensions " << N
<< "x" << M << ". Please provide a square matrix.\n";
return;
}
for (int i = 0; i < graph.size(); i++) {
int min = infinity;
int minIndex = 0;
for (int j = 0; j < graph.size(); j++) {
if (graph[i][j] != 0 && graph[i][j] < min) {
if (i != j && graph[i][j] != 0 && graph[i][j] < min) {
min = graph[i][j];
minIndex = j;
}
Expand All @@ -50,20 +56,167 @@ void findMinimumEdge(const int &infinity,
}
} // namespace greedy_algorithms

/**
* define a large constant value for int
* define a large constant value for float
* define a large constant value for double
*/
constexpr int INFINITY_INT = std::numeric_limits<int>::max();
constexpr float INFINITY_FLOAT = std::numeric_limits<float>::max();
constexpr double INFINITY_DOUBLE = std::numeric_limits<double>::max();

/**
* @brief Self-test implementations
* @returns void
*/
static void test() {
// Test case with interger values
std::cout << "\nTest Case 1 :\n";
std::array<std::array<int, 6>, 6> graph1{0,
4,
1,
4,
INFINITY_INT,
INFINITY_INT,
4,
0,
3,
8,
3,
INFINITY_INT,
1,
3,
0,
INFINITY_INT,
1,
INFINITY_INT,
4,
8,
INFINITY_INT,
0,
5,
7,
INFINITY_INT,
3,
1,
5,
0,
INFINITY_INT,
INFINITY_INT,
INFINITY_INT,
INFINITY_INT,
7,
INFINITY_INT,
0};
greedy_algorithms::findMinimumEdge(INFINITY_INT, graph1);

// Test case with floating values
std::cout << "\nTest Case 2 :\n";
std::array<std::array<float, 3>, 3> graph2{0.0f, 2.5f, INFINITY_FLOAT, 2.5f,
0.0f, 3.2f, INFINITY_FLOAT, 3.2f,
0.0f};
greedy_algorithms::findMinimumEdge(INFINITY_FLOAT, graph2);

// Test case with double values
std::cout << "\nTest Case 3 :\n";
std::array<std::array<double, 5>, 5> graph3{0.0,
10.5,
INFINITY_DOUBLE,
6.7,
3.3,
10.5,
0.0,
8.1,
15.4,
INFINITY_DOUBLE,
INFINITY_DOUBLE,
8.1,
0.0,
INFINITY_DOUBLE,
7.8,
6.7,
15.4,
INFINITY_DOUBLE,
0.0,
9.9,
3.3,
INFINITY_DOUBLE,
7.8,
9.9,
0.0};
greedy_algorithms::findMinimumEdge(INFINITY_DOUBLE, graph3);

// Test Case with negative weights
std::cout << "\nTest Case 4 :\n";
std::array<std::array<int, 3>, 3> graph_neg{0, -2, 4, -2, 0, 3, 4, 3, 0};
greedy_algorithms::findMinimumEdge(INFINITY_INT, graph_neg);

// Test Case with Self-Loops
std::cout << "\nTest Case 5 :\n";
std::array<std::array<int, 3>, 3> graph_self_loop{
2, 1, INFINITY_INT, INFINITY_INT, 0, 4, INFINITY_INT, 4, 0};
greedy_algorithms::findMinimumEdge(INFINITY_INT, graph_self_loop);

// Test Case with no edges
std::cout << "\nTest Case 6 :\n";
std::array<std::array<int, 4>, 4> no_edges{
0, INFINITY_INT, INFINITY_INT, INFINITY_INT, INFINITY_INT,
0, INFINITY_INT, INFINITY_INT, INFINITY_INT, INFINITY_INT,
0, INFINITY_INT, INFINITY_INT, INFINITY_INT, INFINITY_INT,
0};
greedy_algorithms::findMinimumEdge(INFINITY_INT, no_edges);

// Test Case with a non-connected graph
std::cout << "\nTest Case 7:\n";
std::array<std::array<int, 4>, 4> partial_graph{
0, 2, INFINITY_INT, 6, 2, 0, 3, INFINITY_INT, INFINITY_INT, 3, 0,
4, 6, INFINITY_INT, 4, 0};
greedy_algorithms::findMinimumEdge(INFINITY_INT, partial_graph);

// Test Case with Directed weighted graph. Krushkal algorithm does not give
// optimal answer
std::cout << "\nTest Case 8:\n";
std::array<std::array<int, 4>, 4> directed_graph{
0,
3,
7,
INFINITY_INT, // Vertex 0 has edges to Vertex 1 and Vertex 2
INFINITY_INT,
0,
2,
5, // Vertex 1 has edges to Vertex 2 and Vertex 3
INFINITY_INT,
INFINITY_INT,
0,
1, // Vertex 2 has an edge to Vertex 3
INFINITY_INT,
INFINITY_INT,
INFINITY_INT,
0}; // Vertex 3 has no outgoing edges
greedy_algorithms::findMinimumEdge(INFINITY_INT, directed_graph);

// Test case with wrong input passed
std::cout << "\nTest Case 9:\n";
std::array<std::array<int, 4>, 3> graph9{0, 5, 5, 5, 5, 0,
5, 5, 5, 5, 5, 5};
greedy_algorithms::findMinimumEdge(INFINITY_INT, graph9);

// Test case with all same values between every edges
std::cout << "\nTest Case 10:\n";
std::array<std::array<int, 5>, 5> graph10{0, 5, 5, 5, 5, 5, 0, 5, 5,
5, 5, 5, 0, 5, 5, 5, 5, 5,
0, 5, 5, 5, 5, 5, 0};
greedy_algorithms::findMinimumEdge(INFINITY_INT, graph10);

std::cout << "\nAll tests have successfully passed!\n";
}

/**
* @brief Main function
* @returns 0 on exit
*/

int main() {
constexpr int INFINITY = 99999;
std::array<std::array<int, 6>, 6> graph{
0, 4, 1, 4, INFINITY, INFINITY,
4, 0, 3, 8, 3, INFINITY,
1, 3, 0, INFINITY, 1, INFINITY,
4, 8, INFINITY, 0, 5, 7,
INFINITY, 3, 1, 5, 0, INFINITY,
INFINITY, INFINITY, INFINITY, 7, INFINITY, 0};

greedy_algorithms::findMinimumEdge(INFINITY, graph);
test(); // run Self-test implementation
return 0;
}
}
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