WUT_Computer_Science/lab3/main.py

360 lines
12 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 os
import time
import tempfile
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(
population,
arguments
):
"""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 arguments["number_of_parents"] individuals
parents = population[np.argsort(fitness)[:arguments["number_of_parents"]]]
# Generate the next generation of lambda individuals by recombination
children = np.concatenate(
[
np.random.permutation(parents)
for i in range((arguments["size_of_population"] // arguments["number_of_parents"]) + 1)
]
)
children = children[:arguments["size_of_population"]]
# Add mutation to the children
mutation = np.random.normal(
loc=0, scale=arguments["mutation_strength"], size=(arguments["size_of_population"], 2)
)
population = children + mutation
return fitness, population
def evolution_strategy(
arguments,
no_display=False,
):
"""Define the Evolutionary Strategy (μ, λ) algorithm"""
# Initialize the population
print_info = []
population = np.random.uniform(
low=arguments["min"], high=arguments["max"], size=(arguments["size_of_population"], 2)
)
summary = []
if not no_display:
print_info.append(
(population,
0,
f"""0:nop-{arguments["number_of_parents"]}:sop-{arguments["size_of_population"]}:
ms-{arguments["mutation_strength"]}:nog-{arguments["number_of_generations"]}:
min-max-{arguments["min"], arguments["max"]}:noo-{arguments["number_of_outputs"]}""",
))
arguments["number_of_outputs"] = min(
[arguments["number_of_outputs"] - 1, arguments["number_of_generations"]])
# Iterate until we reach max number of generate and terminate
for generation_number in range(1, arguments["number_of_generations"] + 1):
fitness, population = generate(
population, arguments)
step = (
arguments["number_of_generations"] // arguments["number_of_outputs"]
if arguments["number_of_generations"] % arguments["number_of_outputs"] == 0
else arguments["number_of_generations"] // (arguments["number_of_outputs"] - 1)
)
offset = arguments["number_of_generations"] % step
if (generation_number - offset) % step == 0 and not no_display:
print_info.append(
(population,
generation_number,
f"""{generation_number}:nop_{arguments["number_of_parents"]}:
sop_{arguments["size_of_population"]}:ms_{arguments["mutation_strength"]}:
nog_{arguments["number_of_generations"]}:
min_max_{arguments["min"], arguments["max"]}:
noo_{arguments["number_of_outputs"]}""",
))
summary.append(population)
# 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,
print_info,
summary,
)
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:
arguments["number_of_parents"]=5,
arguments["size_of_population"]=20,
arguments["mutation_strength"]=0.1,
arguments["number_of_generations"]=100,
min_value=-5.12,
max_value=5.12
arguments["number_of_outputs"] = 100
python main.py -h --help print this prompt
Any of the default values an be changed using arguments:
-nop --arguments["number_of_parents"] [number]
-sop --arguments["size_of_population"] [number]
-ms --arguments["mutation_strength"] [number]
-nog --arguments["number_of_generations"] [number]
-min --min_value [number]
-max --max_value [number]
-noo, --arguments["number_of_outputs"] [number]
Those arguments can be given in any order and any argument
which was not entered will be replaced with default value,
Additional flags:
-nd, --no-display (does not show the plots)
-s, --save (if issued WILL save the files)
exemplary use:
python main.py -nop 5 -sop 20 -ms 0.1 -nog 100 -min -5.12 -max 5.12 -noo 100
"""
)
def get_output_bounds(x_data, y_data):
"""Get x and y output limits for pyplot"""
# min_size = 0.2
min_output_size = ARGUMENTS["mutation_strength"] * 10
xmin = min(x_data)
xmax = max(x_data)
ymin = min(y_data)
ymax = max(y_data)
x_diff = xmax - xmin
y_diff = ymax - ymin
if min_output_size is None:
min_output_size = max(x_diff, y_diff)
margin = max(x_diff, y_diff) / 5
if x_diff < min_output_size:
xmax += (min_output_size - x_diff) / 2
xmin -= (min_output_size - x_diff) / 2
if y_diff < min_output_size:
ymax += (min_output_size - y_diff) / 2
ymin -= (min_output_size - y_diff) / 2
x_bounds = [xmin - margin, xmax + margin]
y_bounds = [ymin - margin, ymax + margin]
return x_bounds, y_bounds
def output(
population_output,
generation_number,
file_name="temp",
save_results=False):
"""Draw result of our function"""
# define the visualization params
colors = np.random.rand(len(population_output))
with tempfile.NamedTemporaryFile(suffix=".png", delete=False) as file_:
# iterate over the optimization steps
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)
x_lim, y_lim = get_output_bounds(x_data, y_data)
# plot the data
plt.cla()
plt.figure()
plt.scatter(x_data, y_data, c=colors, alpha=0.5)
plt.xlim(x_lim)
plt.ylim(y_lim)
plt.savefig(file_.name)
# read image
image = cv2.imread(file_.name)
# show the image, provide window name first
cv2.imshow(f"Generation {generation_number}", image)
if save_results:
cv2.imwrite(file_name + ".jpg", 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()
file_.close()
os.unlink(file_.name)
def print_summary(populations, file_name="temp_summary", save_results=False):
"""Draw result of our function for chosen generations"""
with tempfile.NamedTemporaryFile(suffix=".png", delete=False) as file_:
# iterate over the optimization steps
# generate random 2D data - replace it with the results from your
# algorithm
plt.cla()
plt.figure()
bounds = None
for ind, pop in enumerate(populations):
x_data = []
y_data = []
for x_point_value, y_point_value in pop:
x_data.append(x_point_value)
y_data.append(y_point_value)
if ind == 0:
bounds = get_output_bounds(x_data, y_data)
# plot the data
transparency = ind / (len(populations) - 1)
color = [[transparency, 0, 0]] * len(pop)
plt.scatter(
x_data,
y_data,
c=color,
alpha=transparency,
label=f"{ind}")
plt.xlim(bounds[0])
plt.ylim(bounds[1])
plt.savefig(file_.name)
# read image
image = cv2.imread(file_.name)
if save_results:
cv2.imwrite("SUMMARY:" + file_name + ".jpg", image)
# show the image, provide window name first
cv2.imshow("Summary", 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()
file_.close()
os.unlink(file_.name)
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,
"number_of_outputs": 10,
"no_display": False,
"save": False,
}
for index, 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"] = int(sys.argv[index + 1])
if argument in ("-sop", "--size_of_population"):
arguments["size_of_population"] = int(sys.argv[index + 1])
if argument in ("-ms", "--mutation_strength"):
arguments["mutation_strength"] = float(sys.argv[index + 1])
if argument in ("-nog", "--number_of_generations"):
arguments["number_of_generations"] = int(sys.argv[index + 1])
if argument in ("-min", "--min_value"):
arguments["min"] = float(sys.argv[index + 1])
if argument in ("-max", "--max_value"):
arguments["max"] = float(sys.argv[index + 1])
if argument in ("-noo", "--number_of_outputs"):
arguments["number_of_outputs"] = int(sys.argv[index + 1])
if argument in ("-nd", "--no_display"):
arguments["no_display"] = True
if argument in ("-s", "--save"):
arguments["save"] = True
return arguments
def print_output(print_info, save_results, summary):
""" Prints out population and summary plots """
for population, generation_number, file_name in print_info:
output(population, generation_number, file_name, save_results)
summary_file_name = file_name
print_summary(summary, summary_file_name, save_results)
# Ran first in the code
if __name__ == "__main__":
# Run the Evolutionary Strategy algorithm
ARGUMENTS = user_input()
TOTAL_TIME = 0
start_time = time.perf_counter()
(
best_individual,
best_fitness,
output_population,
PRINT_INFO,
SUMMARY,
) = evolution_strategy(
ARGUMENTS,
ARGUMENTS["no_display"],
)
end_time = time.perf_counter()
if not ARGUMENTS["no_display"]:
print_output(PRINT_INFO, ARGUMENTS["save"], SUMMARY)
TOTAL_TIME = end_time - start_time
time_per_generation = TOTAL_TIME / ARGUMENTS["number_of_generations"]
print("Best individual found:", best_individual)
print("Best fitness found:", best_fitness)
print("total_generation_time: ", TOTAL_TIME)
print("time_per_generation: ", time_per_generation)