First finished version

README.md

@@ -1,3 +1,13 @@
 # IN4050: Obligatory Assignment 1
 
 [Project repository](https://gitea.balaton.dev/IN4050/in4050-oblig1)
+
+Email: [coryab@uio.no](mailto:coryab@uio.no)
+
+## How to run the programs
+
+To run any of the programs, just use this command:
+
+```bash
+python <exhaustive_search \| hill_climbing \| genetic_algorithm>.py
+```

exhaustive_search.py

@@ -1,11 +1,12 @@
 import time
 from itertools import permutations
 from typing import Tuple
+from math import factorial
 
 import numpy as np
 import numpy.typing as npt
 
-from common import plot_plan, read_data
+from common import indexes_to_cities, plot_plan, read_data
 
 
 def exhaustive_search(distances: npt.NDArray) -> Tuple[float, npt.NDArray]:
@@ -34,14 +35,17 @@ def exhaustive_search(distances: npt.NDArray) -> Tuple[float, npt.NDArray]:
             ),
             permutations(range(size)),
         ),
+        key=lambda x: x[0] # Make sure that it finds the minimal distance
     )
 
 
 if __name__ == "__main__":
     cities, data = read_data("./european_cities.csv")
 
+    times = {}
+
     # A loop timing finding the optimal solution for different n
-    for n in range(6, 11):
+    for n in range(6,11):
         # Time exhaustive search
         t0 = time.time_ns()
         distance, perm = exhaustive_search(data[:n, :n])
@@ -49,32 +53,32 @@ if __name__ == "__main__":
 
         time_elapsed_ms = (t1 - t0) / 1_000_000.0
 
+        times[n] = time_elapsed_ms, distance
+
+        if n in (6,10):
+            city_seq = indexes_to_cities(perm, cities)
+            plot_plan(city_seq)
+            print(f"Sequence for {n} cities: {city_seq}")
+
+    print("")
+    for n, (time, distance) in times.items():
         print(f"Exhaustive search for the {n} first cities:")
-        print(f"distance             : {distance:>12.6f}km")
-        print(f"time to find solution: {time_elapsed_ms:>12.6f}ms\n")
+        print(f"{'distance':<25}: {distance:>12.6f}km")
+        print(f"{'time to find solution':<25}: {time:>12.6f}ms")
+        print(f"{f'time / {n}!':<25}: {time / factorial(n):>12.6f}\n")
 
 
 """Running example
 
-oblig1 on  main [?] via 🐍 v3.12.6 took 7s
+oblig1 on  main [!] via 🐍 v3.12.6 took 14s
 ❯ python exhaustive_search.py
 Exhaustive search for the 6 first cities:
-distance             :  5018.810000km
-time to find solution:     1.105330ms
-
-Exhaustive search for the 7 first cities:
-distance             :  5487.890000km
-time to find solution:    10.089604ms
-
-Exhaustive search for the 8 first cities:
-distance             :  6667.490000km
-time to find solution:    78.810508ms
-
-Exhaustive search for the 9 first cities:
-distance             :  6678.550000km
-time to find solution:   765.676230ms
+distance                 :  5018.810000km
+time to find solution    :     1.485208ms
+time / 6!                :     0.002063
 
 Exhaustive search for the 10 first cities:
-distance             :  7486.310000km
-time to find solution:  8281.795515ms
+distance                 :  7486.310000km
+time to find solution    : 10980.900480ms
+time / 10!               :     0.003026
 """

genetic_algorithm.py

@@ -1,110 +1,438 @@
-import random
-from typing import Tuple
+from concurrent.futures import ProcessPoolExecutor, wait
+from concurrent.futures.thread import ThreadPoolExecutor
+from time import time_ns
+from typing import List, Self, Tuple
 
+import matplotlib.pyplot as plt
 import numpy as np
 import numpy.typing as npt
 
-from common import plot_plan, read_data
+from common import indexes_to_cities, plot_plan, read_data
 
 
 class GeneticTSP:
+    """A class for solving the travelling salesman problem using a genetic algorithm."""
+
+    def __init__(
+        self,
+        population: int,
+        crossover_prob: float,
+        mutation_prob: float,
+        data: npt.NDArray,
+    ) -> None:
+        """The init method of GeneticTSP.
+
+        Args:
+            population (int): The size of the population for each generation.
+            crossover_prob (float): The probability of crossover happening.
+            mutation_prob (float): The probability of a mutation happening.
+            data (npt.NDarray): An NxN array containing the distances between cities.
+
+        Returns:
+            None
+        """
 
-    def __init__(self, population: int, crossover_prob: float, mutation_prob: float, data):
         self.generation: int = 0
         self.population: int = population
         self.data: npt.NDArray = data
         self.genes: int = len(data)
         self.crossover_prob: float = crossover_prob
         self.mutation_prob: float = mutation_prob
+        self.best_fitness = []
         self.generate_first_generation()
 
-    def generate_first_generation(self):
-        self.candidates: npt.NDArray = np.array([np.random.permutation(np.arange(self.genes)) for _ in range(self.population)])
+    def generate_first_generation(self) -> None:
+        """Generate the first generation of n random permutations (individuals).
 
+        Returns:
+            None
+        """
 
-    def get_distance(self, candidate):
-        return sum([self.data[candidate[i - 1], candidate[i]] for i in range(self.genes)])
+        self.individuals: npt.NDArray = np.array(
+            [
+                np.random.permutation(np.arange(self.genes))
+                for _ in range(self.population)
+            ]
+        )
 
+    def get_distance(self, individual: npt.NDArray) -> float:
+        """Get the distance of the circuit that candidate creates.
 
-    def fitness(self):
-        distances = np.array([ self.get_distance(candidate) for candidate in self.candidates ])
-        max_distance = max(distances)
-        fitness = max_distance - distances
-        fitness_sum = sum(fitness)
-        self.fitness_probs: npt.NDArray = fitness / fitness_sum
+        Args:
+            individual (npt.NDArray): The circuit to use to calculate the distance.
 
+        Returns:
+            float: The distance of the circuit of the individual.
+        """
+
+        return np.array(
+            [self.data[individual[i - 1], individual[i]] for i in range(self.genes)]
+        ).sum()
+
+    def fitness(self) -> None:
+        """Calculate the fitness of each individual.
+
+        Creates a normalized array where individuals with shorter circuits
+        have a higher fitness.
+
+        Returns:
+            None
+        """
+
+        distances: npt.NDArray = np.array(
+            [self.get_distance(individual) for individual in self.individuals]
+        )
+        max_distance: float = max(distances)
+
+        # invert results so that the shortest distance gets the largest value.
+        fitness: npt.NDArray = max_distance - distances
+
+        # Normalize array.
+        fitness_sum: float = np.sum(fitness)
+
+        ## If all individuals are the same, then they have equal probability
+        if fitness_sum <= 0:
+            self.fitness_probs = [1.0 / self.population for _ in range(self.population)]
+        else:
+            self.fitness_probs = fitness / fitness_sum
+
+        self.best_fitness.append(max(self.fitness_probs))
+
+    def crossover(
+        self, parent1: npt.NDArray, parent2: npt.NDArray
+    ) -> Tuple[npt.NDArray, npt.NDArray]:
+        """The crossover step when creating a new generation.
+
+        Args:
+            parent1 (npt.NDArray): The first parent to do crossover with.
+            parent2 (npt.NDArray): The second parent to do crossover with.
+
+        Return:
+            Tuple: The two new individuals for the next generation.
+
+        """
 
-    def crossover(self, parent1: npt.NDArray, parent2: npt.NDArray) -> Tuple[npt.NDArray, npt.NDArray]:
         if self.crossover_prob < np.random.random():
             return (parent1, parent2)
 
         cut: int = np.random.randint(0, self.genes)
 
-        offspring1 = parent1[:cut]
-        offspring2 = parent2[:cut]
+        offspring1: npt.NDArray = parent1[:cut]
+        offspring2: npt.NDArray = parent2[:cut]
 
-        offspring1 = np.concatenate((offspring1, np.array([gene for gene in parent2 if gene not in offspring1])))
-        offspring2 = np.concatenate((offspring2, np.array([gene for gene in parent1 if gene not in offspring2])))
+        # Add the elements not in parent2 as close to in order as possible.
+        offspring1 = np.concatenate(
+            (offspring1, np.array([gene for gene in parent2 if gene not in offspring1]))
+        )
+
+        # Add the elements not in parent2 as close to in order as possible.
+        offspring2 = np.concatenate(
+            (offspring2, np.array([gene for gene in parent1 if gene not in offspring2]))
+        )
 
         return (offspring1, offspring2)
 
+    def mutate(self, individual: npt.NDArray) -> None:
+        """The mutation step when creating a new generation.
 
-    def mutate(self, offspring):
+        Args:
+            individual (npt.NDArray): The individual to potentially mutate.
+
+        Returns:
+            None
+        """
+
+        # Decide whether or not to mutate.
         if self.mutation_prob < np.random.random():
             return
 
         pos1: int = np.random.randint(0, self.genes)
         pos2: int = np.random.randint(0, self.genes)
 
-        offspring[pos1], offspring[pos2] = offspring[pos2], offspring[pos1]
+        individual[[pos1, pos2]] = individual[[pos2, pos1]]
 
-    def select_individual(self):
-        choice = np.random.choice(self.population, 1, p=self.fitness_probs)[0]
-        return self.candidates[choice]
+    def select_individual(self) -> npt.NDArray:
+        """Select an individual using the fitness probabilities.
 
+        Returns:
+            npt.NDArray: The individual that has been selected.
+        """
 
-    def generate_next_generation(self):
-        new_generation = []
+        choice: int = np.random.choice(self.population, 1, p=self.fitness_probs)[0]
+
+        return self.individuals[choice]
+
+    def generate_next_generation(self) -> None:
+        """Create the next generation of individuals.
+
+        Returns:
+            None
+        """
+
+        new_generation: List = []
         self.fitness()
-        
-        for _ in range(0,self.population,2):
-            offspring1, offspring2 = self.crossover(self.select_individual(), self.select_individual())
+
+        offspring1: npt.NDArray
+        offspring2: npt.NDArray
+
+        # For each individual, create a new individual
+        for _ in range(0, self.population, 2):
+            # Select 2 individuals and perform crossover.
+            offspring1, offspring2 = self.crossover(
+                self.select_individual(), self.select_individual()
+            )
             self.mutate(offspring1)
             self.mutate(offspring2)
             new_generation.append(offspring1)
             new_generation.append(offspring2)
 
-        self.candidates = np.array(new_generation)
+        self.individuals = np.array(new_generation[: self.population])
 
+    def run(self, generations: int = 10) -> Self:
+        """Run the genetic algorithm for a certain amount of generations.
+
+        Args:
+            generations (int): the number of generations to run the algorithm.
+
+        Returns:
+            Self: Itself, so that we can use ProcessPoolExecutor.
+        """
 
-    def run(self, generations = 10):
         for _ in range(generations):
             self.generate_next_generation()
 
-    def get_candidates(self):
-        return self.candidates
+        return self
+
+    def get_individuals(self) -> npt.NDArray:
+        """Get all candidates.
+
+        Returns:
+            npt.NDArray: The array containing each individual.
+        """
+
+        return self.individuals
+
+    def get_best_individual(self) -> Tuple[float, npt.NDArray]:
+        """Get the best individual from all the individuals.
+
+        Returns:
+            Tuple[float, npt.NDArray]: A tuple with the distance and permutation
+            of the best individual.
+
+        """
+
+        res = sorted(
+            [
+                (self.get_distance(individual), individual)
+                for individual in self.individuals
+            ],
+            key=lambda i: i[0],
+        )
+
+        return res[0]
+
+
+def test_best_params(data: npt.NDArray) -> Tuple[float, float, float]:
+    population: int = 50
+    crossover_prob: npt.NDArray = np.linspace(0.1, 1, 10)
+    mutation_prob: npt.NDArray = np.linspace(0.1, 1, 10)
+
+    best_distance: float = float("inf")
+    best_crossover_prob: float = 0.0
+    best_mutation_prob: float = 0.0
+    for c_prob in crossover_prob:
+        for m_prob in mutation_prob:
+            np.random.seed(1987)
+            gen = GeneticTSP(population, c_prob, m_prob, data)
+            gen.run(100)
+            tmp = gen.get_best_individual()
+            if tmp[0] < best_distance:
+                best_distance = tmp[0]
+                best_crossover_prob = c_prob
+                best_mutation_prob = m_prob
+
+    return best_distance, best_crossover_prob, best_mutation_prob
 
 
 if __name__ == "__main__":
     cities, data = read_data("./european_cities.csv")
 
     np.random.seed(1987)
-    gen = GeneticTSP(500, .8, .4, data[:10,:10])
 
-    original_cands = gen.get_candidates()
-    res = [ (gen.get_distance(cand), cand) for cand in original_cands ]
-    res.sort(key=lambda i: i[0])
+    # print(f"Finding the best parameters for the mutation and crossover probabilities")
+    # bd, bc, bm = test_best_params(data[:10, :10])
 
-    print(f"Original population")
-    print(f"Distance: {res[0][0]}")
-    plot_plan([ cities[i] for i in res[-1][1] ])
+    # print(f"Best distance             : {bd}")
+    # print(f"Best crossover probability: {bc}")
+    # print(f"Best mutation probability : {bm}\n")
 
-    gen.run(500)
+    bd, bc, bm = 0, 0.7, 0.1
+    populations = [10, 100, 1000]
+    generations = 300
+    avg_fitness = []
 
-    arr = gen.get_candidates()
-    res = [ (gen.get_distance(cand), cand) for cand in arr ]
-    res.sort(key=lambda i: i[0])
+    # 10 cities
+    print(f"Results for 10 cities.")
+    print(f"generations          : {generations}")
+    print(f"Crossover probability: {bc}")
+    print(f"Mutation probability : {bm}\n")
 
-    print(f"Improved population")
-    print(f"Distance: {res[0][0]}")
-    plot_plan([ cities[i] for i in res[0][1] ])
+    for population in populations:
+        arr = [GeneticTSP(population, bc, bm, data[:10, :10]) for _ in range(20)]
+
+        t0 = time_ns()
+        futures = []
+        with ProcessPoolExecutor() as executor:
+            for obj in arr:
+                futures.append(executor.submit(obj.run, generations))
+        wait(futures)
+        t1 = time_ns()
+
+        t = (t1 - t0) / 1_000_000.0
+
+        arr = [future.result() for future in futures]
+
+        res = sorted(
+            list(map(lambda gen: gen.get_best_individual(), arr)),
+            key=lambda i: i[0],
+        )
+
+        distances = list(map(lambda n: n[0], res))
+        best = res[0][0]
+        worst = res[-1][0]
+        mean = sum(distances) / len(res)
+        std_dev = np.sqrt(sum([(i - mean) ** 2 for i in distances]) / len(res))
+
+        print(f"Results for a population of {population}.")
+        print(f"time              : {t:>12.6f}ms")
+        print(f"best distance     : {best:>12.6f}km")
+        print(f"worst distance    : {worst:>12.6f}km")
+        print(f"average distance  : {mean:>12.6f}km")
+        print(f"standard deviation: {std_dev:>12.6f}km\n")
+
+        fitness = np.array([gen.best_fitness for gen in arr])
+        avg_fitness.append((fitness.sum(axis=0) / len(arr), f"cities: 10, population: {population}"))
+        # ax.plot(
+            # np.arange(len(avg_fitness)),
+            # avg_fitness,
+            # label=f"cities: 10, population: {population}",
+        # )
+
+        plot_plan(indexes_to_cities(res[0][1], cities))
+
+    # 24 cities
+    print(f"Results for 24 cities.")
+    print(f"Crossover probability: {bc}")
+    print(f"Mutation probability : {bm}\n")
+
+    for population in populations:
+        arr = [GeneticTSP(population, bc, bm, data) for _ in range(20)]
+
+        t0 = time_ns()
+        futures = []
+        with ProcessPoolExecutor() as executor:
+            for obj in arr:
+                futures.append(executor.submit(obj.run, generations))
+        wait(futures)
+        t1 = time_ns()
+
+        t = (t1 - t0) / 1_000_000.0
+
+        arr = [future.result() for future in futures]
+
+        res = sorted(
+            list(map(lambda gen: gen.get_best_individual(), arr)),
+            key=lambda i: i[0],
+        )
+
+        distances = list(map(lambda n: n[0], res))
+        best = res[0][0]
+        worst = res[-1][0]
+        mean = sum(distances) / len(res)
+        std_dev = np.sqrt(sum([(i - mean) ** 2 for i in distances]) / len(res))
+
+        print(f"Results for a population of {population}.")
+        print(f"time              : {t:>12.6f}ms")
+        print(f"best distance     : {best:>12.6f}km")
+        print(f"worst distance    : {worst:>12.6f}km")
+        print(f"average distance  : {mean:>12.6f}km")
+        print(f"standard deviation: {std_dev:>12.6f}km\n")
+
+        fitness = np.array([gen.best_fitness for gen in arr])
+        avg_fitness.append((fitness.sum(axis=0) / len(arr), f"cities: 10, population: {population}"))
+        # ax.plot(
+            # np.arange(len(avg_fitness)),
+            # avg_fitness,
+            # label=f"cities: 24, population: {population}",
+        # )
+
+        plot_plan(indexes_to_cities(res[0][1], cities))
+
+
+    # Plot the average best fitnesses
+    fig, ax = plt.subplots()
+
+    x = np.arange(len(avg_fitness[0][0]))
+    for element in avg_fitness:
+        ax.plot(x, element[0], label=element[1])
+
+    ax.set_xlabel("generations")
+    ax.set_ylabel("avg best fitness")
+    fig.legend()
+    fig.savefig("./images/average_fitness.png")
+
+"""Running example
+
+oblig1 on  main [!?⇡] via 🐍 v3.12.6 took 4m37s
+❯ python genetic_algorithm.py
+Results for 10 cities.
+generations          : 300
+Crossover probability: 0.7
+Mutation probability : 0.1
+
+Results for a population of 10.
+time              :   717.914256ms
+best distance     :  7486.310000km
+worst distance    :  8737.340000km
+average distance  :  7634.319500km
+standard deviation:   283.926327km
+
+Results for a population of 100.
+time              :  6922.343884ms
+best distance     :  7486.310000km
+worst distance    :  7830.010000km
+average distance  :  7529.078000km
+standard deviation:    88.041417km
+
+Results for a population of 1000.
+time              : 99066.816177ms
+best distance     :  7486.310000km
+worst distance    :  7549.160000km
+average distance  :  7495.113500km
+standard deviation:    18.968296km
+
+Results for 24 cities.
+Crossover probability: 0.7
+Mutation probability : 0.1
+
+Results for a population of 10.
+time              :  1441.588712ms
+best distance     : 15921.410000km
+worst distance    : 20250.840000km
+average distance  : 18045.991500km
+standard deviation:  1060.673071km
+
+Results for a population of 100.
+time              : 15143.475494ms
+best distance     : 13148.120000km
+worst distance    : 17453.060000km
+average distance  : 15048.892000km
+standard deviation:  1083.912052km
+
+Results for a population of 1000.
+time              : 151313.539435ms
+best distance     : 12890.050000km
+worst distance    : 15798.380000km
+average distance  : 14121.351500km
+standard deviation:   924.716247km
+"""

hill_climbing.py

@@ -59,8 +59,29 @@ def hill_climbing(distances: npt.NDArray) -> Tuple[float, npt.NDArray]:
     return (current_distance, perm)
 
 
+def test_hill_climbing(data: npt.NDArray, cities: npt.NDArray, runs: int):
+    res = [hill_climbing(data) for _ in range(runs)]
+    res.sort(key=lambda n: n[0])
+
+    distances = list(map(lambda n: n[0], res))
+    best = res[0][0]
+    worst = res[-1][0]
+    mean = sum(distances) / runs
+    std_dev = np.sqrt(sum([(i - mean)**2 for i in distances]) / runs)
+
+    print(f"Hill climbing for {len(data)} cities.")
+    print(f"best distance     : {best:>12.6f}km")
+    print(f"worst distance    : {worst:>12.6f}km")
+    print(f"average distance  : {mean:>12.6f}km")
+    print(f"standard deviation: {std_dev:>12.6f}km\n")
+
+    plot_plan(indexes_to_cities(res[0][1], cities)) # Plot the best one
+
 if __name__ == "__main__":
+    np.random.seed(1987)
     cities, data = read_data("./european_cities.csv")
     distance, perm = hill_climbing(data[:10, :10])
 
-    plot_plan(indexes_to_cities(perm, cities))
+    # plot_plan(indexes_to_cities(perm, cities))
+    test_hill_climbing(data[:10,:10], cities, 20)
+    test_hill_climbing(data, cities, 20)