WUT_Computer_Science/lab3/main.py

196 lines
6.7 KiB
Python

"""
Program that optimizes Rastrigin function: file_ (x_point_value, y_point_value) =
20 + (x_point_value^2 - 10cos(2πx)) + (y_point_value^2 - 10 cos(2πy)).
Using Evolutionary Strategy (μ, λ).
"""
import sys
import time
import tempfile
from cv2 import cv2
import matplotlib.pyplot as plt
import numpy as np
def rastrigin(x_argument, y_argument):
""" Define the Rastrigin function """
return 20 + x_argument**2 - 10 * np.cos(2 * np.pi * x_argument) + \
y_argument**2 - 10 * np.cos(2 * np.pi * y_argument)
def generate(generation_number,
population,
number_of_parents=5,
size_of_population=20,
mutation_strength=0.1,
):
""" Run single generation """
# Evaluate the fitness of each individual
fitness = np.array([rastrigin(x_point_value, y_point_value)
for x_point_value, y_point_value in population])
# Select the top number_of_parents individuals
parents = population[np.argsort(fitness)[:number_of_parents]]
# Generate the next generation of lambda individuals by recombination
children = np.concatenate([np.random.permutation(
parents) for generation_number in range(size_of_population // number_of_parents)])
# Add mutation to the children
mutation = np.random.normal(
loc=0, scale=mutation_strength, size=(
size_of_population, 2))
population = children + mutation
return fitness, population
def evolution_strategy(
number_of_parents=5,
size_of_population=20,
mutation_strength=0.1,
number_of_generations=100,
min_max=(-5.12, 5.12)
):
""" Define the Evolutionary Strategy (μ, λ) algorithm """
# Initialize the population
population = np.random.uniform(
low=min_max[0], high=min_max[1], size=(
size_of_population, 2))
# Iterate untill we reach max number of generate and terminate
for generation_number in range(number_of_generations):
fitness, population = generate(
generation_number,
population,
number_of_parents,
size_of_population,
mutation_strength)
# Evaluate the fitness of the final population
fitness = np.array([rastrigin(x_point_value, y_point_value)
for x_point_value, y_point_value in population])
# Return the best individual found
best_idx = np.argmin(fitness)
return population[best_idx], fitness[best_idx], population
def print_help():
""" Print program functionality and how to access it """
print("""
python main.py - Default functionality optimizing Rastrigin function file_ (x_point_value, y_point_value) =
20 + (x_point_value^2 - 10cos(2πx)) + (y_point_value^2 - 10 cos(2πy))
using Evolutionary Strategy (μ, λ), using only default values
Default values:
number_of_parents=5,
size_of_population=20,
mutation_strength=0.1,
number_of_generations=100,
min_value=-5.12,
max_value=5.12
python main.py -h --help print this prompt
Any of the default values an be changed using arguments:
-nop --number_of_parents [number]
-sop --size_of_population [number]
-ms --mutation_strength [number]
-nog --number_of_generations [number]
-min --min_value [number]
-max --max_value [number]
Those arguments can be given in any order and any argument which was not entered will be replaced with default value,
exemplary use:
python main.py -nop 5 -sop 20 -s 0.1 -i 100 -min -5.12 -max 5.12
""")
def output(population_output):
""" Draw result of our function """
# define number of data points
output_length = len(population_output)
# define the visualization params
colors = np.random.rand(output_length)
with tempfile.NamedTemporaryFile(suffix=".png") as file_:
# iterate over the optimization steps
# generate random 2D data - replace it with the results from your
# algorithm
print(population_output)
x_data = []
y_data = []
for x_point_value, y_point_value in population_output:
x_data.append(x_point_value)
y_data.append(y_point_value)
print("x_data", x_data)
# plot the data
plt.cla()
plt.figure()
plt.scatter(x_data, y_data, c=colors, alpha=0.5)
plt.xlim([0, 1])
plt.ylim([0, 1])
plt.savefig(file_.name)
# read image
image = cv2.imread(file_.name)
# show the image, provide window name first
cv2.imshow('visualization', image)
# add wait key. window waits until user presses a key and quits if
# the key is 'q'
if cv2.waitKey(0) == 113:
# and finally destroy/close all open windows
sys.exit()
cv2.destroyAllWindows()
def user_input():
""" Handle user terminal arguments"""
arguments = {
"number_of_parents": 5,
"size_of_population": 20,
"mutation_strength": 0.1,
"number_of_generations": 100,
"min": -5.12,
"max": 5.12}
for argument in enumerate(sys.argv):
if argument in ('-h', '--help'):
print_help()
sys.exit()
if argument in ('-nop', '--number_of_parents'):
arguments["number_of_parents"] = float(argument)
if argument in ('-sop', '--size_of_population'):
arguments["size_of_population"] = float(argument)
if argument in ('-ms', '--mutation_strength'):
arguments["mutation_strength"] = float(argument)
if argument in ('-nog', '--number_of_generations'):
arguments["number_of_generations"] = float(argument)
if argument in ('-min', '--min_value'):
arguments["min"] = float(argument)
if argument in ('-max', '--max_value'):
arguments["max"] = float(argument)
return arguments
# Ran first in the code
if __name__ == "__main__":
# Run the Evolutionary Strategy algorithm
ARGUMENTS = user_input()
start_time = time.perf_counter()
best_individual, best_fitness, output_population = evolution_strategy(
ARGUMENTS["number_of_parents"],
ARGUMENTS["size_of_population"],
ARGUMENTS["mutation_strength"],
ARGUMENTS["number_of_generations"],
(ARGUMENTS["min"], ARGUMENTS["max"]))
end_time = time.perf_counter()
total_generation_time = end_time - start_time
time_per_generation = total_generation_time / \
ARGUMENTS["number_of_generations"]
print("Best individual found:", best_individual)
print("Best fitness found:", best_fitness)
print("total_generation_time: ", total_generation_time)
print("time_per_generation: ", time_per_generation)
output(output_population)