mirror of
https://github.com/kuhyx/WUT_Computer_Science.git
synced 2026-07-04 22:43:11 +02:00
360 lines
12 KiB
Python
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)
|