Compare commits
10 Commits
| Author | SHA1 | Date | |
|---|---|---|---|
| 878470fe73 | |||
| 12eb1d34a4 | |||
| b1a07ddc26 | |||
| 15a95c8e73 | |||
| 899c844c78 | |||
| aae0ce7241 | |||
| 93311c4ad5 | |||
| e45091b066 | |||
| b14156589c | |||
| 1c8ab00c13 |
+5
-1
@@ -1 +1,5 @@
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benchmarks/**
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benchmark
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.direnv
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*.csv
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*.png
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*.txt
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@@ -0,0 +1,3 @@
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benchmarks/**
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dist/**
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results.txt
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@@ -7,6 +7,8 @@ def run_benchmark(program_name, array):
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start = time()
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start = time()
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process = subprocess.Popen(program_name, stdin=subprocess.PIPE)
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process = subprocess.Popen(program_name, stdin=subprocess.PIPE)
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process.communicate((f"{len(array)}\n" + "\n".join(map(str, array))).encode())
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process.communicate((f"{len(array)}\n" + "\n".join(map(str, array))).encode())
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if process.returncode == 1:
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raise RuntimeError("Error while benchmarking")
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end = time()
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end = time()
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return end - start
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return end - start
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@@ -25,23 +27,37 @@ def generate_sequence(sequence_type, array_size):
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raise ValueError("Invalid sequence type")
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raise ValueError("Invalid sequence type")
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def plot(program_name, sequences, array_size):
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def plot(program_name, sequences, array_size):
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sequence_names = {
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"random": "Losowy",
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"sorted": "Posortowany",
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"reversed": "Odwrócony",
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"constant": "Stały",
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"v_shaped": "V-kształtny",
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}
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plt.figure(figsize=(10, 6))
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plt.figure(figsize=(10, 6))
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for sequence_type, timings in sequences.items():
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for sequence_type, timings in sequences.items():
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plt.plot(array_size, timings, label=sequence_type)
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plt.plot(array_size, timings, label=sequence_names[sequence_type])
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plt.xlabel("")
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plt.xlabel("Rozmiar tablicy")
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plt.ylabel("Czas (ms)")
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plt.ylabel("Czas (ms)")
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plt.title(f"{program_name}")
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plt.title(program_name.capitalize())
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plt.legend()
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plt.legend()
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plt.savefig(f"benchmarks/{program_name}.png")
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plt.savefig(f"./benchmarks/{program_name}.png")
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# plt.show()
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if __name__ == "__main__":
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if __name__ == "__main__":
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program_names = ["./insertion", "./selection"]
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program_names = ["insertion", "selection", "heapsort", "mergesort"]
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sequence_types = ["random", "sorted", "reversed", "constant", "v_shaped"]
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sequence_types = ["random", "sorted", "reversed", "constant", "v_shaped"]
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array_sizes = [i for i in range(1000, 15001, 1000)]
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array_sizes = [i for i in range(1000, 15001, 1000)]
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tests = 10
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with open("results.txt", "w") as f:
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with open("results.txt", "w") as f:
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for program_name in program_names:
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for program_name in program_names:
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if program_name == "heapsort" or program_name == "mergesort":
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array_sizes = [i for i in range(15000, 40001, 1000)]
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tests = 20
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else:
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array_sizes = [i for i in range(1000, 15001, 1000)]
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tests = 10
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sequenceTiming = {
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sequenceTiming = {
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"random": [],
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"random": [],
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"sorted": [],
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"sorted": [],
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@@ -54,16 +70,18 @@ if __name__ == "__main__":
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print(f" - running {sequence_type}")
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print(f" - running {sequence_type}")
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for array_size in array_sizes:
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for array_size in array_sizes:
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sequence = generate_sequence(sequence_type, array_size)
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sequence = generate_sequence(sequence_type, array_size)
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print(f" - running {sequence_type} with size {array_size}")
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durations = []
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durations = []
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for i in range(10):
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for i in range(tests):
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duration = run_benchmark(program_name, sequence)
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print(f" - running {sequence_type} with size {array_size} {i+1}/{tests}", end="\r")
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duration = run_benchmark(f"./dist/{program_name}", sequence)
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duration *= 1000
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duration *= 1000
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durations.append(duration)
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durations.append(duration)
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sleep(0.1)
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if program_name == "heapsort" or program_name == "mergesort":
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sleep(0.1)
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print()
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duration = sum(durations) / len(durations)
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duration = sum(durations) / len(durations)
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f.write(f"{program_name} {sequence_type} {array_size} {duration}\n")
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sequenceTiming[sequence_type].append(duration)
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sequenceTiming[sequence_type].append(duration)
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sleep(0.5)
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if program_name == "heapsort" or program_name == "mergesort":
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sleep(0.1)
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plot(program_name, sequenceTiming, array_sizes)
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plot(program_name, sequenceTiming, array_sizes)
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print("Benchmark finished")
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print("Benchmark finished")
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@@ -4,13 +4,23 @@
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// Capture the pipe of array contents, first number is the size
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// Capture the pipe of array contents, first number is the size
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int main() {
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int main() {
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int s;
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int s;
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scanf("%d", &s);
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int res = scanf("%d", &s);
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int *array = malloc(sizeof(int) * s);
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if (res != 1) {
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for (int i = 0; i < s; i++) {
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fprintf(stderr, "Error reading size\n");
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scanf("%d", &array[i]);
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return 1;
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}
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}
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for (int j = 1; j < s; j++) {
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int *array = malloc(sizeof(int) * s);
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for (int i = 0; i < s; i++) {
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res = scanf("%d", &array[i]);
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if (res != 1) {
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fprintf(stderr, "Error reading array element\n");
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free(array);
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return 1;
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}
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}
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for (int j = 0; j < s; j++) {
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int key = array[j];
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int key = array[j];
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int i = j - 1;
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int i = j - 1;
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while (i >= 0 && array[i] > key) {
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while (i >= 0 && array[i] > key) {
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@@ -0,0 +1,53 @@
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#include <stdio.h>
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#include <stdlib.h>
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void MergeSort(int A[], int l, int r, int B[]) {
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int m = (l + r) / 2;
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if (m - l > 0) {
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MergeSort(A, l, m, B);
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}
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if (r - m > 0) {
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MergeSort(A, m + 1, r, B);
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}
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int i = l;
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int j = m + 1;
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for (int k = l; k <= r; k++) {
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if ((i <= m && j > r) || ((i <= m && j <= r) && A[i] <= A[j])) {
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B[k] = A[i];
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i++;
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} else {
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B[k] = A[j];
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j++;
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}
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}
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for (int k = l; k <= r; k++) {
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A[k] = B[k];
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}
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}
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int main() {
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int size;
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int res = scanf("%d", &size);
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if (res != 1) {
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fprintf(stderr, "Error reading size\n");
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return 1;
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}
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int *arrayA = malloc(sizeof(int) * size);
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for (int i = 0; i < size; i++) {
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res = scanf("%d", &arrayA[i]);
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if (res != 1) {
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fprintf(stderr, "Error reading array element\n");
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free(arrayA);
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return 1;
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}
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}
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int *arrayB = malloc(sizeof(int) * size);
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MergeSort(arrayA, 0, size - 1, arrayB);
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return 0;
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}
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@@ -0,0 +1,80 @@
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#include <stdio.h>
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#include <stdlib.h>
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#include <time.h>
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enum PivotStrategy { RIGHTMOST = 0, MIDDLE = 1, RANDOM = 2 };
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void swap(int *a, int *b) {
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int temp = *a;
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*a = *b;
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*b = temp;
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}
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int partition(int A[], int left, int right, int pivot_strategy, int length) {
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int pivot_index;
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if (pivot_strategy == RIGHTMOST) {
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pivot_index = right;
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} else if (pivot_strategy == MIDDLE) {
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pivot_index = (left + right) / 2;
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} else if (pivot_strategy == RANDOM) {
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pivot_index = (rand() % (length + 1));
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}
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int pivot = A[pivot_index];
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swap(&A[pivot_index], &A[right]);
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int i = left - 1;
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for (int j = left; j < right; j++) {
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if (A[j] <= pivot) {
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i++;
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swap(&A[i], &A[j]);
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}
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}
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swap(&A[i + 1], &A[right]);
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return i + 1;
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}
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void quicksort(int A[], int p, int r, int pivot_strategy, int length) {
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if (p < r) {
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int q = partition(A, p, r, pivot_strategy, length);
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quicksort(A, p, q - 1, pivot_strategy, length);
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quicksort(A, q + 1, r, pivot_strategy, length);
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}
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}
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int main() {
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int size, pivot_strategy;
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if (scanf("%d", &size) != 1) {
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fprintf(stderr, "Error reading size\n");
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return 1;
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}
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if (scanf("%d", &pivot_strategy) != 1) {
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fprintf(stderr, "Error reading pivot strategy\n");
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return 1;
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}
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// Init the random number generator when needed
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|
if (pivot_strategy == RANDOM) {
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|
srand(size);
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|
}
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|
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|
int *array = malloc(sizeof(int) * size);
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|
if (array == NULL) {
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|
fprintf(stderr, "Memory allocation failed\n");
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|
return 1;
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|
}
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|
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|
for (int i = 0; i < size; i++) {
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|
if (scanf("%d", &array[i]) != 1) {
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|
fprintf(stderr, "Error reading array element\n");
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|
free(array);
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|
return 1;
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|
}
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|
}
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|
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|
quicksort(array, 0, size - 1, pivot_strategy, size);
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|
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|
free(array);
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|
return 0;
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|
}
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@@ -0,0 +1,66 @@
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|
import subprocess
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|
from time import time, sleep
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|
import matplotlib.pyplot as plt
|
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|
|
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|
pivot_strategies = {
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|
"rightmost": 0,
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|
"middle": 1,
|
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|
"random": 2
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|
}
|
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|
|
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|
def run_benchmark(array, pivot_strategy):
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|
input_data = f"{len(array)}\n{pivot_strategies[pivot_strategy]}\n" + "\n".join(map(str, array)) + "\n"
|
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|
|
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|
start = time()
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|
process = subprocess.Popen("./dist/quicksort", stdin=subprocess.PIPE)
|
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|
process.communicate(input_data.encode())
|
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|
if process.returncode != 0:
|
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|
raise RuntimeError("Error while benchmarking")
|
||||||
|
end = time()
|
||||||
|
|
||||||
|
return end - start
|
||||||
|
|
||||||
|
def generate_v_shaped(array_size):
|
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|
return [i for i in range(array_size // 2, 0, -1)] + [i for i in range(array_size // 2)]
|
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|
|
||||||
|
def plot(sequences, array_size):
|
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|
pivot_names = {
|
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|
"rightmost": "Pivot prawy",
|
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|
"middle": "Pivot środkowy",
|
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|
"random": "Pivot losowy"
|
||||||
|
}
|
||||||
|
plt.figure(figsize=(10, 6))
|
||||||
|
for pivot_type, timings in sequences.items():
|
||||||
|
plt.plot(array_size, timings, label=pivot_names[pivot_type])
|
||||||
|
plt.xlabel("Rozmiar tablicy")
|
||||||
|
plt.ylabel("Czas (ms)")
|
||||||
|
plt.title("Quicksort")
|
||||||
|
plt.legend()
|
||||||
|
plt.savefig("./benchmarks/quicksort.png")
|
||||||
|
|
||||||
|
if __name__ == "__main__":
|
||||||
|
array_sizes = [i for i in range(1000, 15001, 1000)]
|
||||||
|
|
||||||
|
with open("results.txt", "w") as f:
|
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|
sequenceTiming = {
|
||||||
|
"rightmost": [],
|
||||||
|
"middle": [],
|
||||||
|
"random": [],
|
||||||
|
}
|
||||||
|
for pivot_strategy in pivot_strategies:
|
||||||
|
print(f"Running with pivot strategy {pivot_strategy}")
|
||||||
|
for array_size in array_sizes:
|
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|
sequence = generate_v_shaped(array_size)
|
||||||
|
durations = []
|
||||||
|
for i in range(10):
|
||||||
|
print(f" - with size of {array_size} {i+1}/10", end="\r")
|
||||||
|
duration = run_benchmark(sequence, pivot_strategy)
|
||||||
|
duration *= 1000
|
||||||
|
durations.append(duration)
|
||||||
|
sleep(0.1)
|
||||||
|
print()
|
||||||
|
duration = sum(durations) / len(durations)
|
||||||
|
sequenceTiming[pivot_strategy].append(duration)
|
||||||
|
sleep(0.1)
|
||||||
|
plot(sequenceTiming, array_sizes)
|
||||||
|
print("Benchmark finished")
|
||||||
@@ -8,6 +8,7 @@ int main() {
|
|||||||
fprintf(stderr, "Error reading size\n");
|
fprintf(stderr, "Error reading size\n");
|
||||||
return 1;
|
return 1;
|
||||||
}
|
}
|
||||||
|
|
||||||
int *array = malloc(sizeof(int) * s);
|
int *array = malloc(sizeof(int) * s);
|
||||||
for (int i = 0; i < s; i++) {
|
for (int i = 0; i < s; i++) {
|
||||||
res = scanf("%d", &array[i]);
|
res = scanf("%d", &array[i]);
|
||||||
@@ -0,0 +1,86 @@
|
|||||||
|
#include "avl.h"
|
||||||
|
#include "algorithm"
|
||||||
|
|
||||||
|
int getHeight(AVL_tree *root) {
|
||||||
|
if (!root)
|
||||||
|
return 0;
|
||||||
|
return root->height;
|
||||||
|
}
|
||||||
|
|
||||||
|
AVL_tree *rightRotate(AVL_tree *y) {
|
||||||
|
AVL_tree *x = y->left;
|
||||||
|
AVL_tree *T2 = x->right;
|
||||||
|
|
||||||
|
x->right = y;
|
||||||
|
y->left = T2;
|
||||||
|
|
||||||
|
y->height = 1 + std::max(getHeight(y->left), getHeight(y->right));
|
||||||
|
x->height = 1 + std::max(getHeight(x->left), getHeight(x->right));
|
||||||
|
|
||||||
|
return x;
|
||||||
|
}
|
||||||
|
|
||||||
|
AVL_tree *leftRotate(AVL_tree *x) {
|
||||||
|
AVL_tree *y = x->right;
|
||||||
|
AVL_tree *T2 = y->left;
|
||||||
|
|
||||||
|
y->left = x;
|
||||||
|
x->right = T2;
|
||||||
|
|
||||||
|
x->height = 1 + std::max(getHeight(x->left), getHeight(x->right));
|
||||||
|
y->height = 1 + std::max(getHeight(y->left), getHeight(y->right));
|
||||||
|
|
||||||
|
return y;
|
||||||
|
}
|
||||||
|
|
||||||
|
int getBalance(AVL_tree *root) {
|
||||||
|
if (!root)
|
||||||
|
return 0;
|
||||||
|
return getHeight(root->left) - getHeight(root->right);
|
||||||
|
}
|
||||||
|
|
||||||
|
AVL_tree *insertAVL(AVL_tree *root, int value) {
|
||||||
|
if (root == nullptr) {
|
||||||
|
return new AVL_tree{value, nullptr, nullptr, 1};
|
||||||
|
}
|
||||||
|
|
||||||
|
if (value < root->info) {
|
||||||
|
root->left = insertAVL(root->left, value);
|
||||||
|
} else if (value > root->info) {
|
||||||
|
root->right = insertAVL(root->right, value);
|
||||||
|
} else {
|
||||||
|
return root;
|
||||||
|
}
|
||||||
|
|
||||||
|
root->height = 1 + std::max(getHeight(root->left), getHeight(root->right));
|
||||||
|
|
||||||
|
int balance = getBalance(root);
|
||||||
|
|
||||||
|
if (balance > 1 && value < root->left->info) {
|
||||||
|
return rightRotate(root);
|
||||||
|
}
|
||||||
|
|
||||||
|
if (balance < -1 && value > root->right->info) {
|
||||||
|
return leftRotate(root);
|
||||||
|
}
|
||||||
|
|
||||||
|
if (balance > 1 && value > root->left->info) {
|
||||||
|
root->left = leftRotate(root->left);
|
||||||
|
return rightRotate(root);
|
||||||
|
}
|
||||||
|
|
||||||
|
if (balance < -1 && value < root->right->info) {
|
||||||
|
root->right = rightRotate(root->right);
|
||||||
|
return leftRotate(root);
|
||||||
|
}
|
||||||
|
|
||||||
|
return root;
|
||||||
|
}
|
||||||
|
|
||||||
|
void deleteAVL(AVL_tree *root){
|
||||||
|
if (root != nullptr) {
|
||||||
|
deleteAVL(root->left);
|
||||||
|
deleteAVL(root->right);
|
||||||
|
delete root;
|
||||||
|
}
|
||||||
|
}
|
||||||
@@ -0,0 +1,13 @@
|
|||||||
|
struct AVL_tree {
|
||||||
|
int info;
|
||||||
|
AVL_tree *left;
|
||||||
|
AVL_tree *right;
|
||||||
|
int height;
|
||||||
|
};
|
||||||
|
|
||||||
|
int getHeight(AVL_tree *root);
|
||||||
|
AVL_tree *insertAVL(AVL_tree *root, int value);
|
||||||
|
AVL_tree *rotateLeft(AVL_tree *root);
|
||||||
|
AVL_tree *rotateRight(AVL_tree *root);
|
||||||
|
AVL_tree *searchAVL(AVL_tree *root, int value);
|
||||||
|
void deleteAVL(AVL_tree *root);
|
||||||
@@ -0,0 +1,178 @@
|
|||||||
|
#include "avl/avl.h"
|
||||||
|
#include "bst/bst.h"
|
||||||
|
#include "list/list.h"
|
||||||
|
|
||||||
|
#include <algorithm>
|
||||||
|
#include <chrono>
|
||||||
|
#include <cstdio>
|
||||||
|
#include <iostream>
|
||||||
|
#include <ostream>
|
||||||
|
#include <random>
|
||||||
|
#include <set>
|
||||||
|
|
||||||
|
void measureList(std::vector<int> *sequence, FILE *file) {
|
||||||
|
float buildTime = 0, searchTime = 0, deleteTime = 0;
|
||||||
|
|
||||||
|
for (int i = 0; i < 10; i++) {
|
||||||
|
std::cout << "- Running list " << i + 1 << "/10\r";
|
||||||
|
fflush(stdout);
|
||||||
|
|
||||||
|
// Measure build time
|
||||||
|
auto start = std::chrono::high_resolution_clock::now();
|
||||||
|
List *head = nullptr;
|
||||||
|
for (int value : *sequence) {
|
||||||
|
head = insert(head, value);
|
||||||
|
}
|
||||||
|
auto end = std::chrono::high_resolution_clock::now();
|
||||||
|
std::chrono::duration<double> elapsed_seconds = end - start;
|
||||||
|
buildTime += elapsed_seconds.count() * 1000; // Convert to milliseconds
|
||||||
|
|
||||||
|
// Now we run the search
|
||||||
|
start = std::chrono::high_resolution_clock::now();
|
||||||
|
for (int value : *sequence) {
|
||||||
|
search(head, value);
|
||||||
|
}
|
||||||
|
end = std::chrono::high_resolution_clock::now();
|
||||||
|
elapsed_seconds = end - start;
|
||||||
|
searchTime += elapsed_seconds.count() * 1000; // Convert to milliseconds
|
||||||
|
|
||||||
|
// Measure deletion time for list
|
||||||
|
start = std::chrono::high_resolution_clock::now();
|
||||||
|
while (head != nullptr) {
|
||||||
|
head = remove(head);
|
||||||
|
}
|
||||||
|
end = std::chrono::high_resolution_clock::now();
|
||||||
|
elapsed_seconds = end - start;
|
||||||
|
deleteTime += elapsed_seconds.count() * 1000; // Convert to milliseconds
|
||||||
|
}
|
||||||
|
|
||||||
|
buildTime /= 10;
|
||||||
|
searchTime /= 10;
|
||||||
|
deleteTime /= 10;
|
||||||
|
|
||||||
|
std::cout << "- List built in " << buildTime << "ms | searched in "
|
||||||
|
<< searchTime << "ms | deleted in " << deleteTime << "ms"
|
||||||
|
<< std::endl;
|
||||||
|
fprintf(file, "List,%f,%f,%f\n", buildTime, searchTime, deleteTime);
|
||||||
|
}
|
||||||
|
|
||||||
|
void measureBST(std::vector<int> *sequence, FILE *file) {
|
||||||
|
float buildTime = 0, searchTime = 0, deleteTime = 0;
|
||||||
|
|
||||||
|
for (int i = 0; i < 10; i++) {
|
||||||
|
std::cout << "- Running bst " << i + 1 << "/10\r";
|
||||||
|
fflush(stdout);
|
||||||
|
|
||||||
|
// Measure build time
|
||||||
|
auto start = std::chrono::high_resolution_clock::now();
|
||||||
|
Tree *root = nullptr;
|
||||||
|
for (int value : *sequence) {
|
||||||
|
root = insert(root, value);
|
||||||
|
}
|
||||||
|
// root = balance(root);
|
||||||
|
auto end = std::chrono::high_resolution_clock::now();
|
||||||
|
std::chrono::duration<double> elapsed_seconds = end - start;
|
||||||
|
buildTime += elapsed_seconds.count() * 1000; // Convert to milliseconds
|
||||||
|
|
||||||
|
// Now we run the search
|
||||||
|
start = std::chrono::high_resolution_clock::now();
|
||||||
|
for (int value : *sequence) {
|
||||||
|
search(root, value);
|
||||||
|
}
|
||||||
|
end = std::chrono::high_resolution_clock::now();
|
||||||
|
elapsed_seconds = end - start;
|
||||||
|
searchTime += elapsed_seconds.count() * 1000; // Convert to milliseconds
|
||||||
|
|
||||||
|
// Measure deletion time for tree
|
||||||
|
start = std::chrono::high_resolution_clock::now();
|
||||||
|
deleteTree(root);
|
||||||
|
end = std::chrono::high_resolution_clock::now();
|
||||||
|
elapsed_seconds = end - start;
|
||||||
|
deleteTime += elapsed_seconds.count() * 1000; // Convert to milliseconds
|
||||||
|
}
|
||||||
|
|
||||||
|
buildTime /= 10;
|
||||||
|
searchTime /= 10;
|
||||||
|
deleteTime /= 10;
|
||||||
|
|
||||||
|
std::cout << "- Tree built in " << buildTime << "ms | searched in "
|
||||||
|
<< searchTime << "ms | deleted in " << deleteTime << "ms"
|
||||||
|
<< std::endl;
|
||||||
|
fprintf(file, "BST,%f,%f,%f\n", buildTime, searchTime, deleteTime);
|
||||||
|
}
|
||||||
|
|
||||||
|
void benchmarkAVL(std::vector<int> *sequence, FILE *file) {
|
||||||
|
Tree *bst = nullptr;
|
||||||
|
for (int value : *sequence) {
|
||||||
|
bst = insert(bst, value);
|
||||||
|
}
|
||||||
|
|
||||||
|
int heightBST = getHeight(bst, 0);
|
||||||
|
deleteTree(bst);
|
||||||
|
|
||||||
|
AVL_tree *avl = nullptr;
|
||||||
|
for (int value : *sequence) {
|
||||||
|
avl = insertAVL(avl, value);
|
||||||
|
}
|
||||||
|
|
||||||
|
int heightAVL = getHeight(avl);
|
||||||
|
deleteAVL(avl);
|
||||||
|
|
||||||
|
fprintf(file, "%d,%d\n", heightBST, heightAVL);
|
||||||
|
}
|
||||||
|
|
||||||
|
int main() {
|
||||||
|
// Init the random number generator
|
||||||
|
std::random_device rd;
|
||||||
|
std::mt19937 gen(rd());
|
||||||
|
std::uniform_int_distribution<> dis(1, 1000000);
|
||||||
|
|
||||||
|
int mode = 1;
|
||||||
|
std::cout << "Select benchmark to run:\n 1 - Benchmark List vs BST\n 2 - "
|
||||||
|
"Benchmark BST vs AVL"
|
||||||
|
<< std::endl;
|
||||||
|
std::cin >> mode;
|
||||||
|
|
||||||
|
if (mode < 1 && mode > 2) {
|
||||||
|
mode = 1;
|
||||||
|
}
|
||||||
|
|
||||||
|
FILE *file;
|
||||||
|
if (mode == 1) {
|
||||||
|
// Open a file for writing results
|
||||||
|
file = fopen("results.csv", "w");
|
||||||
|
fprintf(file, "Structure,BuildTime,SearchTime,DeleteTime\n");
|
||||||
|
} else {
|
||||||
|
file = fopen("avl.csv", "w");
|
||||||
|
std::fprintf(file, "Structure,Height\n");
|
||||||
|
}
|
||||||
|
|
||||||
|
for (int n = 1; n < 26; n++) {
|
||||||
|
// Using a set here ensures that there are no duplicates
|
||||||
|
std::set<int> sequence;
|
||||||
|
while (sequence.size() < n * 1000) {
|
||||||
|
sequence.insert(dis(gen));
|
||||||
|
}
|
||||||
|
|
||||||
|
std::vector<int> random_sequence_vec;
|
||||||
|
for (int val : sequence) {
|
||||||
|
random_sequence_vec.push_back(val);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Then randomize the sequence so the bst isn't a list (Set keeps the elements in order)
|
||||||
|
std::shuffle(random_sequence_vec.begin(), random_sequence_vec.end(), gen);
|
||||||
|
|
||||||
|
// Display the times like a cascade
|
||||||
|
std::cout << "Running tests for " << n * 1000 << " elements..."
|
||||||
|
<< std::endl;
|
||||||
|
if (mode == 1) {
|
||||||
|
measureList(&random_sequence_vec, file);
|
||||||
|
measureBST(&random_sequence_vec, file);
|
||||||
|
} else {
|
||||||
|
benchmarkAVL(&random_sequence_vec, file);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
fclose(file);
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
@@ -0,0 +1,42 @@
|
|||||||
|
#include "bst.h"
|
||||||
|
|
||||||
|
Tree *insert(Tree *root, int value) {
|
||||||
|
if (root == nullptr) {
|
||||||
|
root = new Tree{value, nullptr, nullptr};
|
||||||
|
} else if (value < root->info) {
|
||||||
|
root->left = insert(root->left, value);
|
||||||
|
} else if (value > root->info) {
|
||||||
|
root->right = insert(root->right, value);
|
||||||
|
}
|
||||||
|
return root;
|
||||||
|
}
|
||||||
|
|
||||||
|
Tree *search(Tree *root, int value) {
|
||||||
|
Tree *ptr = root;
|
||||||
|
while (ptr != nullptr) {
|
||||||
|
if (value > ptr->info)
|
||||||
|
ptr = ptr->right;
|
||||||
|
else if (value < ptr->info)
|
||||||
|
ptr = ptr->left;
|
||||||
|
else
|
||||||
|
return ptr;
|
||||||
|
}
|
||||||
|
return nullptr;
|
||||||
|
}
|
||||||
|
|
||||||
|
void deleteTree(Tree *root) {
|
||||||
|
if (root != nullptr) {
|
||||||
|
deleteTree(root->left);
|
||||||
|
deleteTree(root->right);
|
||||||
|
delete root;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
int getHeight(Tree *root, int height) {
|
||||||
|
if (root == nullptr)
|
||||||
|
return height;
|
||||||
|
height += 1;
|
||||||
|
int leftHeight = getHeight(root->left, height);
|
||||||
|
int rightHeight = getHeight(root->right, height);
|
||||||
|
return std::max(leftHeight, rightHeight) + 1;
|
||||||
|
}
|
||||||
@@ -0,0 +1,12 @@
|
|||||||
|
#include <vector>
|
||||||
|
|
||||||
|
struct Tree {
|
||||||
|
int info;
|
||||||
|
Tree *left;
|
||||||
|
Tree *right;
|
||||||
|
};
|
||||||
|
|
||||||
|
Tree *insert(Tree *root, int value);
|
||||||
|
Tree *search(Tree *root, int value);
|
||||||
|
void deleteTree(Tree *root);
|
||||||
|
int getHeight(Tree *root, int height);
|
||||||
@@ -0,0 +1,51 @@
|
|||||||
|
#include "list.h"
|
||||||
|
#include <sys/types.h>
|
||||||
|
|
||||||
|
List *insert(List *head, int value) {
|
||||||
|
if (head == nullptr) {
|
||||||
|
List *node = new List();
|
||||||
|
node->data = value;
|
||||||
|
node->next = nullptr;
|
||||||
|
return node;
|
||||||
|
}
|
||||||
|
|
||||||
|
if (head->data > value) {
|
||||||
|
List *newHead = new List();
|
||||||
|
newHead->data = value;
|
||||||
|
newHead->next = head;
|
||||||
|
head = newHead;
|
||||||
|
} else {
|
||||||
|
List *tmp = head;
|
||||||
|
while (tmp->next != nullptr && tmp->next->data < value) {
|
||||||
|
tmp = tmp->next;
|
||||||
|
}
|
||||||
|
|
||||||
|
List *tail = new List();
|
||||||
|
tail->data = value;
|
||||||
|
// Set the pointer to the next, we don't know if its at the end or not
|
||||||
|
tail->next = tmp->next;
|
||||||
|
tmp->next = tail;
|
||||||
|
}
|
||||||
|
|
||||||
|
return head;
|
||||||
|
}
|
||||||
|
|
||||||
|
List *search(List *list, int value) {
|
||||||
|
List *ptr = list;
|
||||||
|
while (ptr != nullptr && ptr->data != value) {
|
||||||
|
if (ptr->data > value) return nullptr;
|
||||||
|
ptr = ptr->next;
|
||||||
|
}
|
||||||
|
|
||||||
|
return ptr;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Remove the first element
|
||||||
|
List *remove(List *head) {
|
||||||
|
if (head == nullptr) {
|
||||||
|
return nullptr;
|
||||||
|
}
|
||||||
|
List *newHead = head->next;
|
||||||
|
delete head;
|
||||||
|
return newHead;
|
||||||
|
}
|
||||||
@@ -0,0 +1,8 @@
|
|||||||
|
struct List {
|
||||||
|
int data;
|
||||||
|
List *next;
|
||||||
|
};
|
||||||
|
|
||||||
|
List *insert(List *head, int data);
|
||||||
|
List *search(List *list, int value);
|
||||||
|
List* remove(List *head);
|
||||||
@@ -0,0 +1,58 @@
|
|||||||
|
import matplotlib.pyplot as plt
|
||||||
|
|
||||||
|
def plot(header:str, first:list[int], second:list[int], log=False, labels=("Lista", "Drzewo BST"), ylabel= "Czas (ms)"):
|
||||||
|
plt.figure(figsize=(10, 6))
|
||||||
|
plt.plot(range(1000,25001,1000), first, label=labels[0])
|
||||||
|
plt.plot(range(1000,25001,1000), second, label=labels[1])
|
||||||
|
plt.xlabel("Rozmiar tablicy")
|
||||||
|
plt.ylabel(ylabel)
|
||||||
|
if log:
|
||||||
|
plt.yscale('log', base=2)
|
||||||
|
plt.title(header)
|
||||||
|
plt.legend()
|
||||||
|
plt.savefig(f"./charts/{header}.png")
|
||||||
|
|
||||||
|
if __name__ == "__main__":
|
||||||
|
with open('results.csv', 'r') as file:
|
||||||
|
data = file.read()
|
||||||
|
lines = data.split('\n')
|
||||||
|
headers = lines[0].split(',')
|
||||||
|
values = [line.split(',') for line in lines[1:]]
|
||||||
|
|
||||||
|
bstTimes = {
|
||||||
|
"build":[],
|
||||||
|
"search":[],
|
||||||
|
"delete":[]
|
||||||
|
}
|
||||||
|
|
||||||
|
listTimes = {
|
||||||
|
"build":[],
|
||||||
|
"search":[],
|
||||||
|
"delete":[]
|
||||||
|
}
|
||||||
|
|
||||||
|
for row in values:
|
||||||
|
if row[0] == 'BST':
|
||||||
|
bstTimes['build'].append(float(row[1]))
|
||||||
|
bstTimes['search'].append(float(row[2]))
|
||||||
|
bstTimes['delete'].append(float(row[3]))
|
||||||
|
elif row[0] == 'List':
|
||||||
|
listTimes['build'].append(float(row[1]))
|
||||||
|
listTimes['search'].append(float(row[2]))
|
||||||
|
listTimes['delete'].append(float(row[3]))
|
||||||
|
|
||||||
|
|
||||||
|
plot("Tworzenie", listTimes['build'], bstTimes['build'], log=True)
|
||||||
|
plot("Wyszukiwanie", listTimes['search'], bstTimes['search'], log=True)
|
||||||
|
plot("Usuwanie", listTimes['delete'], bstTimes['delete'])
|
||||||
|
|
||||||
|
with open("avl.csv", "r") as file:
|
||||||
|
data = file.read()
|
||||||
|
lines = data.split('\n')
|
||||||
|
headers = lines[0].split(',')
|
||||||
|
values = [line.split(',') for line in lines[1:-1]]
|
||||||
|
|
||||||
|
bstHeights = [int(x[0]) for x in values]
|
||||||
|
avlHeights = [int(x[1]) for x in values]
|
||||||
|
|
||||||
|
plot("AVL", bstHeights, avlHeights, log=True, labels=("Drzewo BST", "Drzewo AVL"), ylabel="Wysokość drzewa")
|
||||||
+219
@@ -0,0 +1,219 @@
|
|||||||
|
import random
|
||||||
|
import time
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
import sys
|
||||||
|
from typing import List
|
||||||
|
|
||||||
|
def generateGraph(n: int, saturation: int):
|
||||||
|
edges = (n * (n - 1)) // 2
|
||||||
|
maxEdges = edges * saturation // 100
|
||||||
|
|
||||||
|
graph = {i: [] for i in range(n)}
|
||||||
|
edgeCount = 0
|
||||||
|
|
||||||
|
# Generate a Hamiltonian cycle
|
||||||
|
cycle = list(range(n))
|
||||||
|
random.shuffle(cycle)
|
||||||
|
for i in range(n):
|
||||||
|
u = cycle[i]
|
||||||
|
v = cycle[(i + 1) % n]
|
||||||
|
graph[u].append(v)
|
||||||
|
graph[v].append(u)
|
||||||
|
edgeCount += 1
|
||||||
|
|
||||||
|
while edgeCount < maxEdges:
|
||||||
|
# Find all pairs (u, v) where u < v, u != v, v not in graph[u], and deg(u)%2 == deg(v)%2
|
||||||
|
candidates = []
|
||||||
|
for u in range(n):
|
||||||
|
for v in range(u + 1, n):
|
||||||
|
if v not in graph[u] and (len(graph[u]) % 2) == (len(graph[v]) % 2):
|
||||||
|
candidates.append((u, v))
|
||||||
|
if not candidates:
|
||||||
|
break # No more valid pairs to add without breaking Eulerian property
|
||||||
|
u, v = random.choice(candidates)
|
||||||
|
graph[u].append(v)
|
||||||
|
graph[v].append(u)
|
||||||
|
edgeCount += 1
|
||||||
|
|
||||||
|
for i in range(n):
|
||||||
|
random.shuffle(graph[i])
|
||||||
|
|
||||||
|
print(f"Generated graph with {n} nodes and {edgeCount} edges (saturation: {saturation}%, max edges: {maxEdges})")
|
||||||
|
|
||||||
|
# # Print the graph as a matrix for debugging
|
||||||
|
# graph_matrix = [[0] * n for _ in range(n)]
|
||||||
|
# for u in range(n):
|
||||||
|
# for v in graph[u]:
|
||||||
|
# graph_matrix[u][v] = 1
|
||||||
|
# print("Graph adjacency matrix:")
|
||||||
|
# for row in graph_matrix:
|
||||||
|
# print(" ".join(map(str, row)))
|
||||||
|
|
||||||
|
return graph
|
||||||
|
|
||||||
|
def graphFromMatrix(matrix: List[List[int]]):
|
||||||
|
n = len(matrix)
|
||||||
|
graph = {i: [] for i in range(n)}
|
||||||
|
for i in range(n):
|
||||||
|
for j in range(n):
|
||||||
|
if matrix[i][j] == 1:
|
||||||
|
graph[i].append(j)
|
||||||
|
return graph
|
||||||
|
|
||||||
|
def findEulerianCycle(graph_adj_sets) -> List[int] | None:
|
||||||
|
current_graph = {v: set(neighbors) for v, neighbors in graph_adj_sets.items()}
|
||||||
|
|
||||||
|
if not current_graph:
|
||||||
|
return None # No nodes, empty path
|
||||||
|
|
||||||
|
path = []
|
||||||
|
start_vertex = -1
|
||||||
|
for v_check, neigh_check in current_graph.items():
|
||||||
|
if neigh_check:
|
||||||
|
start_vertex = v_check
|
||||||
|
break
|
||||||
|
|
||||||
|
if start_vertex == -1:
|
||||||
|
if len(current_graph) == 1:
|
||||||
|
return [next(iter(current_graph))] # Single node graph
|
||||||
|
return None
|
||||||
|
|
||||||
|
stack = [start_vertex]
|
||||||
|
|
||||||
|
while stack:
|
||||||
|
v = stack[-1]
|
||||||
|
if current_graph.get(v):
|
||||||
|
u = current_graph[v].pop()
|
||||||
|
current_graph[u].remove(v)
|
||||||
|
stack.append(u) # Move to the next vertex
|
||||||
|
else:
|
||||||
|
path.append(stack.pop()) # Backtrack and add to the path
|
||||||
|
|
||||||
|
return path[::-1] # Return the path in reverse order
|
||||||
|
|
||||||
|
def findHamiltonianCycle(graph):
|
||||||
|
n = len(graph)
|
||||||
|
path = []
|
||||||
|
|
||||||
|
def backtrack(v, visited):
|
||||||
|
if len(path) == n:
|
||||||
|
return path[0] in graph[v] # Check if the last node connects to the first
|
||||||
|
|
||||||
|
for neighbor in graph[v]:
|
||||||
|
if neighbor not in visited:
|
||||||
|
visited.add(neighbor)
|
||||||
|
path.append(neighbor)
|
||||||
|
|
||||||
|
if backtrack(neighbor, visited):
|
||||||
|
return True
|
||||||
|
|
||||||
|
visited.remove(neighbor)
|
||||||
|
path.pop()
|
||||||
|
|
||||||
|
return False
|
||||||
|
|
||||||
|
for start in range(n):
|
||||||
|
path.append(start)
|
||||||
|
visited = {start}
|
||||||
|
|
||||||
|
if backtrack(start, visited):
|
||||||
|
return path
|
||||||
|
|
||||||
|
path.pop()
|
||||||
|
|
||||||
|
return None
|
||||||
|
|
||||||
|
if __name__ == "__main__":
|
||||||
|
# Check if there was given a second argument, if yes run a test instead of the benchmark
|
||||||
|
if len(sys.argv) > 1:
|
||||||
|
file = sys.argv[1]
|
||||||
|
"""
|
||||||
|
Format we are expecting:
|
||||||
|
0 0 1 1 1 1
|
||||||
|
0 0 1 1 0 0
|
||||||
|
1 1 0 0 1 1
|
||||||
|
1 1 0 0 1 1
|
||||||
|
1 0 1 1 0 1
|
||||||
|
1 0 1 1 1 0
|
||||||
|
"""
|
||||||
|
with open(file, 'r') as f:
|
||||||
|
lines = f.readlines()
|
||||||
|
matrix = [list(map(int, line.strip().split())) for line in lines]
|
||||||
|
graph = graphFromMatrix(matrix)
|
||||||
|
|
||||||
|
euler = findEulerianCycle(graph)
|
||||||
|
hamilton = findHamiltonianCycle(graph)
|
||||||
|
|
||||||
|
if euler is None:
|
||||||
|
print("Eulerian cycle not found.")
|
||||||
|
exit(1)
|
||||||
|
if hamilton is None:
|
||||||
|
print("Hamiltonian cycle not found.")
|
||||||
|
exit(1)
|
||||||
|
|
||||||
|
# We were asked to print the cycles starting from 1. Add the first node to the end of the list to make it a cycle
|
||||||
|
# Expected: 1 6 5 4 6 3 5 1 4 2 3 1 | Actual: 1 3 2 4 1 5 3 6 4 5 6 1
|
||||||
|
print("Eulerian Cycle:", [v + 1 for v in euler ])
|
||||||
|
# 1 3 2 4 5 6 1 | Real: 1 3 2 4 5 6 1
|
||||||
|
print("Hamiltonian Cycle", [v + 1 for v in hamilton] + [hamilton[0] + 1])
|
||||||
|
|
||||||
|
exit(0)
|
||||||
|
|
||||||
|
n_values = range(10, 26) # Number of nodes to test
|
||||||
|
saturations = [30, 70] # Saturation levels to test
|
||||||
|
results = {}
|
||||||
|
|
||||||
|
for saturation in saturations:
|
||||||
|
hamilton_times = []
|
||||||
|
eulerian_times = []
|
||||||
|
|
||||||
|
for n in n_values:
|
||||||
|
print(f"Running tests for {n} nodes with {saturation}% saturation...")
|
||||||
|
graph = generateGraph(n, saturation)
|
||||||
|
|
||||||
|
eulerian_time = 0
|
||||||
|
hamilton_time = 0
|
||||||
|
for _ in range(10):
|
||||||
|
start_time = time.time()
|
||||||
|
if findHamiltonianCycle(graph) is None:
|
||||||
|
raise ValueError("Hamiltonian cycle not found, which should not happen with the generated graph.")
|
||||||
|
end_time = time.time()
|
||||||
|
measured_time = (end_time - start_time) * 1000
|
||||||
|
hamilton_time += measured_time
|
||||||
|
eulerian_graph_repr = {v_node: set(v_neighbors) for v_node, v_neighbors in graph.items()}
|
||||||
|
start_time = time.time()
|
||||||
|
|
||||||
|
graph_for_eulerian_run = {node: set(adj_nodes) for node, adj_nodes in graph.items()}
|
||||||
|
start_time = time.time()
|
||||||
|
if findEulerianCycle(graph_for_eulerian_run) is None: # Pass the new set-based representation
|
||||||
|
raise ValueError("Eulerian cycle not found...")
|
||||||
|
end_time = time.time()
|
||||||
|
eulerian_time += (end_time - start_time) * 1000
|
||||||
|
|
||||||
|
|
||||||
|
# Average the times over 10 runs
|
||||||
|
hamilton_times.append(hamilton_time / 10)
|
||||||
|
eulerian_times.append(eulerian_time / 10)
|
||||||
|
time.sleep(0.1) # Sleep to avoid overwhelming the system
|
||||||
|
|
||||||
|
results[saturation] = {
|
||||||
|
"hamilton_times": hamilton_times,
|
||||||
|
"eulerian_times": eulerian_times,
|
||||||
|
}
|
||||||
|
|
||||||
|
plt.figure(figsize=(10, 6))
|
||||||
|
plt.plot(n_values, hamilton_times, label="Cykl Hamiltona", marker="o")
|
||||||
|
plt.plot(n_values, eulerian_times, label="Cykl Eulera", marker="s")
|
||||||
|
plt.xlabel("Liczba wierzchołków (n)")
|
||||||
|
plt.ylabel("Czas działania (ms)")
|
||||||
|
plt.title(f"Czas działania algorytmów dla {saturation}% nasycenia")
|
||||||
|
plt.legend()
|
||||||
|
plt.grid(True)
|
||||||
|
if(saturation == 30):
|
||||||
|
plt.yscale('log', base=2)
|
||||||
|
|
||||||
|
filename = f"saturation_{saturation}.png"
|
||||||
|
plt.savefig(filename)
|
||||||
|
print(f"Plot saved as '{filename}'")
|
||||||
|
|
||||||
|
print("All tests completed.")
|
||||||
@@ -0,0 +1,126 @@
|
|||||||
|
import random
|
||||||
|
import time
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
import sys
|
||||||
|
from typing import List
|
||||||
|
|
||||||
|
def generate_hamiltonian_graph(n, saturation_percent):
|
||||||
|
max_possible_edges = n * (n - 1) // 2
|
||||||
|
target_edges = max_possible_edges * saturation_percent // 100
|
||||||
|
|
||||||
|
# Working on sets, its just easier
|
||||||
|
graph = {i: set() for i in range(n)}
|
||||||
|
edge_count = 0
|
||||||
|
|
||||||
|
cycle = list(range(n))
|
||||||
|
random.shuffle(cycle)
|
||||||
|
for i in range(n):
|
||||||
|
u = cycle[i]
|
||||||
|
v = cycle[(i + 1) % n]
|
||||||
|
if v not in graph[u]:
|
||||||
|
graph[u].add(v)
|
||||||
|
graph[v].add(u)
|
||||||
|
edge_count += 1
|
||||||
|
|
||||||
|
possible_edges = {(i, j) for i in range(n) for j in range(i+1, n)}
|
||||||
|
used_edges = {(min(u, v), max(u, v)) for u in graph for v in graph[u]}
|
||||||
|
available_edges = list(possible_edges - used_edges)
|
||||||
|
random.shuffle(available_edges)
|
||||||
|
|
||||||
|
while edge_count < target_edges and available_edges:
|
||||||
|
u, v = available_edges.pop()
|
||||||
|
if v not in graph[u]:
|
||||||
|
graph[u].add(v)
|
||||||
|
graph[v].add(u)
|
||||||
|
edge_count += 1
|
||||||
|
|
||||||
|
return {k: list(v) for k, v in graph.items()}
|
||||||
|
|
||||||
|
def graphFromMatrix(matrix: List[List[int]]):
|
||||||
|
n = len(matrix)
|
||||||
|
graph = {i: [] for i in range(n)}
|
||||||
|
for i in range(n):
|
||||||
|
for j in range(n):
|
||||||
|
if matrix[i][j] == 1:
|
||||||
|
graph[i].append(j)
|
||||||
|
return graph
|
||||||
|
|
||||||
|
|
||||||
|
def find_all_hamiltonian_cycles(graph):
|
||||||
|
n = len(graph)
|
||||||
|
cycles = set()
|
||||||
|
|
||||||
|
def backtrack(path, visited):
|
||||||
|
if len(path) == n:
|
||||||
|
if path[0] in graph[path[-1]]:
|
||||||
|
# We have to normalize the cycle to avoid duplicates
|
||||||
|
cycle = tuple(path)
|
||||||
|
rev_cycle = tuple(reversed(path))
|
||||||
|
canonical = min(cycle, rev_cycle)
|
||||||
|
|
||||||
|
min_idx = canonical.index(min(canonical))
|
||||||
|
normalized = canonical[min_idx:] + canonical[:min_idx]
|
||||||
|
cycles.add(normalized)
|
||||||
|
return
|
||||||
|
|
||||||
|
for neighbor in graph[path[-1]]:
|
||||||
|
if neighbor not in visited:
|
||||||
|
visited.add(neighbor)
|
||||||
|
path.append(neighbor)
|
||||||
|
backtrack(path, visited)
|
||||||
|
path.pop()
|
||||||
|
visited.remove(neighbor)
|
||||||
|
|
||||||
|
for start in range(n):
|
||||||
|
backtrack([start], {start})
|
||||||
|
|
||||||
|
return list(cycles)
|
||||||
|
|
||||||
|
if __name__ == "__main__":
|
||||||
|
if len(sys.argv) > 1:
|
||||||
|
file = sys.argv[1]
|
||||||
|
"""
|
||||||
|
Format we are expecting:
|
||||||
|
0 0 1 1 1 1
|
||||||
|
0 0 1 1 0 0
|
||||||
|
1 1 0 0 1 1
|
||||||
|
1 1 0 0 1 1
|
||||||
|
1 0 1 1 0 1
|
||||||
|
1 0 1 1 1 0
|
||||||
|
"""
|
||||||
|
with open(file, 'r') as f:
|
||||||
|
lines = f.readlines()
|
||||||
|
matrix = [list(map(int, line.strip().split())) for line in lines]
|
||||||
|
graph = graphFromMatrix(matrix)
|
||||||
|
|
||||||
|
cycles = find_all_hamiltonian_cycles(graph)
|
||||||
|
|
||||||
|
for cycle in cycles:
|
||||||
|
print(cycle)
|
||||||
|
exit(0)
|
||||||
|
|
||||||
|
n_values = range(5, 15)
|
||||||
|
saturation = 50
|
||||||
|
|
||||||
|
times = []
|
||||||
|
cycle_counts = []
|
||||||
|
|
||||||
|
for n in n_values:
|
||||||
|
graph = generate_hamiltonian_graph(n, saturation)
|
||||||
|
print(f"Running test for n={n}...")
|
||||||
|
start = time.time()
|
||||||
|
cycles = find_all_hamiltonian_cycles(graph)
|
||||||
|
elapsed = (time.time() - start) * 1000
|
||||||
|
times.append(elapsed)
|
||||||
|
cycle_counts.append(len(cycles))
|
||||||
|
print(f"Found {len(cycles)} cycles in {elapsed:.2f} ms")
|
||||||
|
|
||||||
|
plt.figure(figsize=(10, 6))
|
||||||
|
plt.plot(n_values, times, marker="o")
|
||||||
|
plt.xlabel("Liczba wierzchołków (n)")
|
||||||
|
plt.ylabel("Czas działania [ms]")
|
||||||
|
plt.title("Czas znajdowania wszystkich cykli Hamiltona dla nasycenia 50%")
|
||||||
|
plt.grid(True)
|
||||||
|
plt.tight_layout()
|
||||||
|
plt.yscale('log', base=2)
|
||||||
|
plt.savefig("hamilton.png")
|
||||||
@@ -0,0 +1,167 @@
|
|||||||
|
import random
|
||||||
|
import time
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
import sys
|
||||||
|
|
||||||
|
def greedy(n, weight, value, capacity ):
|
||||||
|
pairs = list(zip(value, weight))
|
||||||
|
pairs.sort(reverse=True, key=lambda x: x[0] / x[1])
|
||||||
|
|
||||||
|
current_value = 0
|
||||||
|
currentCapacity = capacity
|
||||||
|
|
||||||
|
for i in range(n):
|
||||||
|
if pairs[i][1] <= currentCapacity:
|
||||||
|
current_value += pairs[i][0]
|
||||||
|
currentCapacity -= pairs[i][1]
|
||||||
|
|
||||||
|
return current_value
|
||||||
|
|
||||||
|
def dynamic(n, weight, value, capacity, print_table=False):
|
||||||
|
table = [[0 for _ in range(capacity + 1)] for _ in range(n + 1)]
|
||||||
|
|
||||||
|
for i in range(1, n + 1):
|
||||||
|
for w in range(capacity + 1):
|
||||||
|
if weight[i - 1] <= w:
|
||||||
|
table[i][w] = max(table[i - 1][w], table[i - 1][w - weight[i - 1]] + value[i - 1])
|
||||||
|
else:
|
||||||
|
table[i][w] = table[i - 1][w]
|
||||||
|
|
||||||
|
|
||||||
|
if print_table:
|
||||||
|
print("\n".join(["\t".join(map(str, row)) for row in table]))
|
||||||
|
return table[n][capacity]
|
||||||
|
|
||||||
|
def benchmark_containers(container_list, capacity):
|
||||||
|
greedy_times = []
|
||||||
|
dynamic_times = []
|
||||||
|
greedy_values = []
|
||||||
|
dynamic_values = []
|
||||||
|
rel_errors = []
|
||||||
|
|
||||||
|
# For each container number or capacity
|
||||||
|
for containers in container_list:
|
||||||
|
weights = [random.randint(1, 10) for _ in range(containers)]
|
||||||
|
values = [random.randint(1, 20) for _ in range(containers)]
|
||||||
|
|
||||||
|
# Dynamic
|
||||||
|
start = time.time()
|
||||||
|
dyn = dynamic(containers, weights, values, capacity)
|
||||||
|
dyn_time = (time.time() - start) * 1000
|
||||||
|
|
||||||
|
# Greedy
|
||||||
|
start = time.time()
|
||||||
|
gr = greedy(containers, weights, values, capacity)
|
||||||
|
gr_time = (time.time() - start) * 1000
|
||||||
|
|
||||||
|
greedy_times.append(gr_time)
|
||||||
|
dynamic_times.append(dyn_time)
|
||||||
|
greedy_values.append(gr)
|
||||||
|
dynamic_values.append(dyn)
|
||||||
|
|
||||||
|
print(f"greedy: {gr}, dynamic: {dyn}, rel_error: {(dyn - gr) / dyn * 100 if dyn != 0 else 0:.2f}%")
|
||||||
|
rel_errors.append((dyn - gr) / dyn * 100 if dyn != 0 else 0)
|
||||||
|
|
||||||
|
return greedy_times, dynamic_times, rel_errors
|
||||||
|
|
||||||
|
def benchmark_capacity(capacity_list, containers):
|
||||||
|
greedy_times = []
|
||||||
|
dynamic_times = []
|
||||||
|
greedy_values = []
|
||||||
|
dynamic_values = []
|
||||||
|
rel_errors = []
|
||||||
|
|
||||||
|
# For each container number or capacity
|
||||||
|
for capacity in capacity_list:
|
||||||
|
weights = [random.randint(1, 10) for _ in range(containers)]
|
||||||
|
values = [random.randint(2, 20) for _ in range(containers)]
|
||||||
|
|
||||||
|
# Dynamic
|
||||||
|
start = time.time()
|
||||||
|
dyn = dynamic(containers, weights, values, capacity)
|
||||||
|
dyn_time = (time.time() - start) * 1000
|
||||||
|
|
||||||
|
# Greedy
|
||||||
|
start = time.time()
|
||||||
|
gr = greedy(containers, weights, values, capacity)
|
||||||
|
gr_time = (time.time() - start) * 1000
|
||||||
|
|
||||||
|
greedy_times.append(gr_time)
|
||||||
|
dynamic_times.append(dyn_time)
|
||||||
|
greedy_values.append(gr)
|
||||||
|
dynamic_values.append(dyn)
|
||||||
|
print(f"greedy: {gr}, dynamic: {dyn}, rel_error: {(dyn - gr) / dyn * 100 if dyn != 0 else 0:.2f}%")
|
||||||
|
|
||||||
|
rel_errors.append((dyn - gr) / dyn * 100 if dyn != 0 else 0)
|
||||||
|
|
||||||
|
return greedy_times, dynamic_times, rel_errors
|
||||||
|
|
||||||
|
if __name__ == "__main__":
|
||||||
|
# Check if there was given a second argument, if yes run a test instead of the benchmark
|
||||||
|
if len(sys.argv) > 1:
|
||||||
|
file = sys.argv[1]
|
||||||
|
"""
|
||||||
|
Format we are expecting:
|
||||||
|
5 - liczba elementów
|
||||||
|
3 2 4 3 1 - rozmiary
|
||||||
|
5 3 4 4 2 - wartości
|
||||||
|
8 - rozmiar plecaka
|
||||||
|
"""
|
||||||
|
with open(file, 'r') as f:
|
||||||
|
lines = f.readlines()
|
||||||
|
n = int(lines[0].strip())
|
||||||
|
weights = list(map(int, lines[1].strip().split()))
|
||||||
|
values = list(map(int, lines[2].strip().split()))
|
||||||
|
capacity = int(lines[3].strip())
|
||||||
|
|
||||||
|
dynamic(n, weights, values, capacity, print_table=True)
|
||||||
|
print(greedy(n, weights, values, capacity))
|
||||||
|
exit(0)
|
||||||
|
|
||||||
|
# First test case - constant capacity, variable number of containers
|
||||||
|
containers_list = list(range(1, 51, 2))
|
||||||
|
|
||||||
|
# Constant capacity of 20
|
||||||
|
greedy_times, dynamic_times, rel_errors = benchmark_containers(containers_list, 20)
|
||||||
|
|
||||||
|
plt.figure(figsize=(12,5))
|
||||||
|
plt.subplot(1,2,1)
|
||||||
|
plt.plot(containers_list, greedy_times, label='Zachłanny', )
|
||||||
|
plt.plot(containers_list, dynamic_times, label='Dynamiczny', )
|
||||||
|
plt.xlabel('Liczba kontenerów')
|
||||||
|
plt.ylabel('Czas [ms]')
|
||||||
|
# plt.yscale('log', base=2)
|
||||||
|
plt.title('Czas działania dla zmiennej liczby kontenerów (B=20)')
|
||||||
|
plt.legend()
|
||||||
|
|
||||||
|
axis = plt.subplot(1,2,2)
|
||||||
|
plt.bar(containers_list, rel_errors)
|
||||||
|
plt.xlabel('Liczba kontenerów')
|
||||||
|
plt.ylabel('Błąd względny [%]')
|
||||||
|
axis.yaxis.set_major_formatter(lambda x, pos: f'{x}%'.replace('.0', ''))
|
||||||
|
plt.title('Błąd względny')
|
||||||
|
plt.savefig('benchmark_vary_n.png')
|
||||||
|
|
||||||
|
|
||||||
|
# Second test case - variable capacity, constant number of containers
|
||||||
|
capacity_list = list(range(5, 101, 5))
|
||||||
|
|
||||||
|
# Constant number of containers of 50
|
||||||
|
greedy_times, dynamic_times, rel_errors = benchmark_capacity(capacity_list, 50)
|
||||||
|
|
||||||
|
plt.figure(figsize=(12,5))
|
||||||
|
plt.subplot(1,2,1)
|
||||||
|
plt.plot(capacity_list, greedy_times, label='Zachłanny' )
|
||||||
|
plt.plot(capacity_list, dynamic_times, label='Dynamiczny')
|
||||||
|
plt.xlabel('Pojemność')
|
||||||
|
plt.ylabel('Czas [ms]')
|
||||||
|
plt.title('Czas działania dla zmiennej pojemności (n=50)')
|
||||||
|
plt.legend()
|
||||||
|
|
||||||
|
axis = plt.subplot(1,2,2)
|
||||||
|
plt.bar(capacity_list, rel_errors )
|
||||||
|
plt.xlabel('Pojemność')
|
||||||
|
plt.ylabel('Błąd względny [%]')
|
||||||
|
axis.yaxis.set_major_formatter(lambda x, pos: f'{x}%'.replace('.0', ''))
|
||||||
|
plt.title('Błąd względny')
|
||||||
|
plt.savefig('benchmark_vary_capacity.png')
|
||||||
Generated
+25
@@ -0,0 +1,25 @@
|
|||||||
|
{
|
||||||
|
"nodes": {
|
||||||
|
"nixpkgs": {
|
||||||
|
"locked": {
|
||||||
|
"lastModified": 1739736696,
|
||||||
|
"narHash": "sha256-zON2GNBkzsIyALlOCFiEBcIjI4w38GYOb+P+R4S8Jsw=",
|
||||||
|
"rev": "d74a2335ac9c133d6bbec9fc98d91a77f1604c1f",
|
||||||
|
"revCount": 754461,
|
||||||
|
"type": "tarball",
|
||||||
|
"url": "https://api.flakehub.com/f/pinned/NixOS/nixpkgs/0.1.754461%2Brev-d74a2335ac9c133d6bbec9fc98d91a77f1604c1f/01951426-5a87-7b75-8413-1a0d9ec5ff04/source.tar.gz"
|
||||||
|
},
|
||||||
|
"original": {
|
||||||
|
"type": "tarball",
|
||||||
|
"url": "https://flakehub.com/f/NixOS/nixpkgs/0.1.%2A.tar.gz"
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"root": {
|
||||||
|
"inputs": {
|
||||||
|
"nixpkgs": "nixpkgs"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
},
|
||||||
|
"root": "root",
|
||||||
|
"version": 7
|
||||||
|
}
|
||||||
@@ -0,0 +1,28 @@
|
|||||||
|
{
|
||||||
|
description = "A Nix-flake-based C/C++ development environment";
|
||||||
|
|
||||||
|
inputs.nixpkgs.url = "https://flakehub.com/f/NixOS/nixpkgs/0.1.*.tar.gz";
|
||||||
|
|
||||||
|
outputs = { self, nixpkgs }:
|
||||||
|
let
|
||||||
|
supportedSystems = [ "x86_64-linux" ];
|
||||||
|
forEachSupportedSystem = f:
|
||||||
|
nixpkgs.lib.genAttrs supportedSystems
|
||||||
|
(system: f { pkgs = import nixpkgs { inherit system; }; });
|
||||||
|
in {
|
||||||
|
devShells = forEachSupportedSystem ({ pkgs }: {
|
||||||
|
default = pkgs.mkShell.override {
|
||||||
|
# Override stdenv in order to change compiler:
|
||||||
|
# stdenv = pkgs.clangStdenv;
|
||||||
|
} {
|
||||||
|
packages = with pkgs;
|
||||||
|
[
|
||||||
|
clang-tools
|
||||||
|
cmake
|
||||||
|
libgcc
|
||||||
|
python312Packages.matplotlib
|
||||||
|
] ++ (if system == "aarch64-darwin" then [ ] else [ gdb ]);
|
||||||
|
};
|
||||||
|
});
|
||||||
|
};
|
||||||
|
}
|
||||||
Binary file not shown.
|
Before Width: | Height: | Size: 48 KiB |
-150
@@ -1,150 +0,0 @@
|
|||||||
./insertion random 1000 1.0615110397338867
|
|
||||||
./insertion random 2000 1.5358448028564453
|
|
||||||
./insertion random 3000 2.274918556213379
|
|
||||||
./insertion random 4000 3.3971309661865234
|
|
||||||
./insertion random 5000 4.603886604309082
|
|
||||||
./insertion random 6000 6.020760536193848
|
|
||||||
./insertion random 7000 7.8598737716674805
|
|
||||||
./insertion random 8000 9.824132919311523
|
|
||||||
./insertion random 9000 12.162041664123535
|
|
||||||
./insertion random 10000 14.610838890075684
|
|
||||||
./insertion random 11000 17.46840476989746
|
|
||||||
./insertion random 12000 20.206165313720703
|
|
||||||
./insertion random 13000 23.66960048675537
|
|
||||||
./insertion random 14000 27.488040924072266
|
|
||||||
./insertion random 15000 30.75859546661377
|
|
||||||
./insertion sorted 1000 0.8951187133789062
|
|
||||||
./insertion sorted 2000 0.9664773941040039
|
|
||||||
./insertion sorted 3000 1.1182308197021484
|
|
||||||
./insertion sorted 4000 1.237630844116211
|
|
||||||
./insertion sorted 5000 1.397252082824707
|
|
||||||
./insertion sorted 6000 1.5844106674194336
|
|
||||||
./insertion sorted 7000 1.7046451568603516
|
|
||||||
./insertion sorted 8000 1.8734216690063477
|
|
||||||
./insertion sorted 9000 2.349853515625
|
|
||||||
./insertion sorted 10000 2.4387359619140625
|
|
||||||
./insertion sorted 11000 2.462148666381836
|
|
||||||
./insertion sorted 12000 2.5963783264160156
|
|
||||||
./insertion sorted 13000 3.156876564025879
|
|
||||||
./insertion sorted 14000 3.132033348083496
|
|
||||||
./insertion sorted 15000 3.238677978515625
|
|
||||||
./insertion reversed 1000 1.2768268585205078
|
|
||||||
./insertion reversed 2000 2.137279510498047
|
|
||||||
./insertion reversed 3000 3.491377830505371
|
|
||||||
./insertion reversed 4000 5.584287643432617
|
|
||||||
./insertion reversed 5000 7.988524436950684
|
|
||||||
./insertion reversed 6000 10.77868938446045
|
|
||||||
./insertion reversed 7000 14.134597778320312
|
|
||||||
./insertion reversed 8000 18.278932571411133
|
|
||||||
./insertion reversed 9000 22.71718978881836
|
|
||||||
./insertion reversed 10000 27.739286422729492
|
|
||||||
./insertion reversed 11000 33.2233190536499
|
|
||||||
./insertion reversed 12000 39.423227310180664
|
|
||||||
./insertion reversed 13000 45.474839210510254
|
|
||||||
./insertion reversed 14000 52.727437019348145
|
|
||||||
./insertion reversed 15000 60.09998321533203
|
|
||||||
./insertion constant 1000 0.9403467178344727
|
|
||||||
./insertion constant 2000 0.9927988052368164
|
|
||||||
./insertion constant 3000 1.1275291442871094
|
|
||||||
./insertion constant 4000 1.2822389602661133
|
|
||||||
./insertion constant 5000 1.5305280685424805
|
|
||||||
./insertion constant 6000 1.5430212020874023
|
|
||||||
./insertion constant 7000 1.8325090408325195
|
|
||||||
./insertion constant 8000 1.804804801940918
|
|
||||||
./insertion constant 9000 2.2058486938476562
|
|
||||||
./insertion constant 10000 2.1335840225219727
|
|
||||||
./insertion constant 11000 2.322697639465332
|
|
||||||
./insertion constant 12000 2.5031328201293945
|
|
||||||
./insertion constant 13000 2.8443336486816406
|
|
||||||
./insertion constant 14000 2.675914764404297
|
|
||||||
./insertion constant 15000 2.9070377349853516
|
|
||||||
./insertion v_shaped 1000 1.075124740600586
|
|
||||||
./insertion v_shaped 2000 1.6106843948364258
|
|
||||||
./insertion v_shaped 3000 2.419257164001465
|
|
||||||
./insertion v_shaped 4000 3.438878059387207
|
|
||||||
./insertion v_shaped 5000 4.725170135498047
|
|
||||||
./insertion v_shaped 6000 6.513190269470215
|
|
||||||
./insertion v_shaped 7000 7.992100715637207
|
|
||||||
./insertion v_shaped 8000 10.184979438781738
|
|
||||||
./insertion v_shaped 9000 12.364602088928223
|
|
||||||
./insertion v_shaped 10000 15.029740333557129
|
|
||||||
./insertion v_shaped 11000 18.083977699279785
|
|
||||||
./insertion v_shaped 12000 21.661686897277832
|
|
||||||
./insertion v_shaped 13000 24.31178092956543
|
|
||||||
./insertion v_shaped 14000 27.93755531311035
|
|
||||||
./insertion v_shaped 15000 32.60822296142578
|
|
||||||
./selection random 1000 1.4104366302490234
|
|
||||||
./selection random 2000 2.2107839584350586
|
|
||||||
./selection random 3000 3.5886764526367188
|
|
||||||
./selection random 4000 5.592441558837891
|
|
||||||
./selection random 5000 7.922983169555664
|
|
||||||
./selection random 6000 11.436033248901367
|
|
||||||
./selection random 7000 14.230155944824219
|
|
||||||
./selection random 8000 18.193602561950684
|
|
||||||
./selection random 9000 22.896504402160645
|
|
||||||
./selection random 10000 29.131484031677246
|
|
||||||
./selection random 11000 33.37256908416748
|
|
||||||
./selection random 12000 39.19968605041504
|
|
||||||
./selection random 13000 47.031211853027344
|
|
||||||
./selection random 14000 53.545570373535156
|
|
||||||
./selection random 15000 61.37092113494873
|
|
||||||
./selection sorted 1000 1.2252330780029297
|
|
||||||
./selection sorted 2000 2.236461639404297
|
|
||||||
./selection sorted 3000 3.660869598388672
|
|
||||||
./selection sorted 4000 5.638456344604492
|
|
||||||
./selection sorted 5000 8.042407035827637
|
|
||||||
./selection sorted 6000 11.208224296569824
|
|
||||||
./selection sorted 7000 14.447546005249023
|
|
||||||
./selection sorted 8000 18.74523162841797
|
|
||||||
./selection sorted 9000 22.982478141784668
|
|
||||||
./selection sorted 10000 28.246402740478516
|
|
||||||
./selection sorted 11000 34.0437650680542
|
|
||||||
./selection sorted 12000 39.82250690460205
|
|
||||||
./selection sorted 13000 46.31156921386719
|
|
||||||
./selection sorted 14000 53.86967658996582
|
|
||||||
./selection sorted 15000 61.89534664154053
|
|
||||||
./selection reversed 1000 1.210784912109375
|
|
||||||
./selection reversed 2000 2.1828174591064453
|
|
||||||
./selection reversed 3000 3.7517547607421875
|
|
||||||
./selection reversed 4000 5.427956581115723
|
|
||||||
./selection reversed 5000 8.042573928833008
|
|
||||||
./selection reversed 6000 10.962772369384766
|
|
||||||
./selection reversed 7000 14.444756507873535
|
|
||||||
./selection reversed 8000 18.53172779083252
|
|
||||||
./selection reversed 9000 22.98440933227539
|
|
||||||
./selection reversed 10000 28.051161766052246
|
|
||||||
./selection reversed 11000 33.19251537322998
|
|
||||||
./selection reversed 12000 39.997243881225586
|
|
||||||
./selection reversed 13000 45.667243003845215
|
|
||||||
./selection reversed 14000 53.35855484008789
|
|
||||||
./selection reversed 15000 60.373663902282715
|
|
||||||
./selection constant 1000 1.2602806091308594
|
|
||||||
./selection constant 2000 2.1334409713745117
|
|
||||||
./selection constant 3000 3.5085439682006836
|
|
||||||
./selection constant 4000 5.34212589263916
|
|
||||||
./selection constant 5000 7.747673988342285
|
|
||||||
./selection constant 6000 10.555744171142578
|
|
||||||
./selection constant 7000 14.265799522399902
|
|
||||||
./selection constant 8000 18.23742389678955
|
|
||||||
./selection constant 9000 22.236275672912598
|
|
||||||
./selection constant 10000 27.255654335021973
|
|
||||||
./selection constant 11000 32.57889747619629
|
|
||||||
./selection constant 12000 38.65196704864502
|
|
||||||
./selection constant 13000 45.708537101745605
|
|
||||||
./selection constant 14000 51.95658206939697
|
|
||||||
./selection constant 15000 59.54868793487549
|
|
||||||
./selection v_shaped 1000 1.179647445678711
|
|
||||||
./selection v_shaped 2000 2.0728111267089844
|
|
||||||
./selection v_shaped 3000 3.5805463790893555
|
|
||||||
./selection v_shaped 4000 5.700540542602539
|
|
||||||
./selection v_shaped 5000 8.303594589233398
|
|
||||||
./selection v_shaped 6000 10.987281799316406
|
|
||||||
./selection v_shaped 7000 14.623737335205078
|
|
||||||
./selection v_shaped 8000 18.853092193603516
|
|
||||||
./selection v_shaped 9000 22.894835472106934
|
|
||||||
./selection v_shaped 10000 27.98130512237549
|
|
||||||
./selection v_shaped 11000 33.84420871734619
|
|
||||||
./selection v_shaped 12000 39.37234878540039
|
|
||||||
./selection v_shaped 13000 46.07586860656738
|
|
||||||
./selection v_shaped 14000 53.040337562561035
|
|
||||||
./selection v_shaped 15000 60.929179191589355
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Reference in New Issue
Block a user