finished??
parent
f95f848b22
commit
9a61a7f1d6
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@ -13,7 +13,6 @@ import random
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import struct
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import time
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import utils
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# import matplotlib.pyplot as plt
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POPULATION_SIZE = 10
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SELECTION_SIZE = (POPULATION_SIZE * 7) // 10 # 70% of population, rounded down for selection
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@ -28,8 +27,6 @@ bin_pop = [] # 32 Bit-Binary as String
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bin_pop_params = [] # Arrays with 4 Binary values of 8s
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new_pop = [] # 32 Bit Gray-Code as String
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e_func = lambda x: np.e**x
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def generate_random_population(num=POPULATION_SIZE):
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""" Puts random 32 Bit binary strings into 4 * 8 Bit long params. """
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@ -63,12 +60,12 @@ def eval_fitness(bin_pop_values):
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# Create polynomial function with current parameters
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approx = lambda x: a*x**3 + b*x**2 + c*x + d
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quad_error = quadratic_error(e_func, approx, 6)
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e_func = lambda x: np.e**x
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quad_error = quadratic_error(e_func, approx, 3)
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inverse_fitness = 1 / quad_error # the bigger the error, the worse the fitness
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print("Fitness: " + str(inverse_fitness)) # debugging
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# print("Fitness: " + str(inverse_fitness)) # debugging
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fitness_arr.append(inverse_fitness) # save fitness
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# save params # already saved in gray_pop
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return fitness_arr
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@ -96,14 +93,13 @@ def select(fitness_arr):
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break # break for loop
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return selected_pop
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# TODO: xover the old population not the new one
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def xover(population):
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"""Performs crossover on pairs of individuals from population."""
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offspring = []
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# Process pairs while we have enough individuals and haven't reached xover_rate
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i = 0
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while i < len(population) - 1 and len(population) + len(offspring) < 10:
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while i < XOVER_PAIR_SIZE:
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parent_a = population[i]
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parent_b = population[i + 1]
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@ -139,8 +135,9 @@ def main():
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bin_pop_values = generate_random_population(POPULATION_SIZE)
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iteration = 0
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while not np.all((1 / np.array(fitness_arr)) <= 1): # Continue while any fitness value is > 1
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print("Iteration: " + str(iteration)) # debugging
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print("Working...")
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while not np.any((np.array(fitness_arr)) > 200): # Continue while any fitness value is > 1
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# print("Iteration: " + str(iteration)) # debugging
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# Evaluate fitness
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fitness_arr = eval_fitness(bin_pop_values)
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@ -149,7 +146,7 @@ def main():
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new_pop = select(fitness_arr) # assigns
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# Crossover
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offspring = xover(new_pop)
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offspring = xover(gray_pop)
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new_pop.extend(offspring) # Add offspring to population
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# Mutation
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@ -163,10 +160,19 @@ def main():
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params = [bin_str[i:i+7] for i in range(0, 31, 8)]
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bin_pop_values.append(params)
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# print(new_pop)
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# time.sleep(0.5)
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iteration += 1
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max_fitness_index = np.argmax(np.array(fitness_arr))
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a, b, c, d = [utils.bin_to_param(param) for param in bin_pop_values[max_fitness_index]]
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print("index: " + str(max_fitness_index))
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print("a: " + str(a) + "; b: " + str(b) + "; c: " + str(c) + "; d: " + str(d) )
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utils.plot_graph(a, b, c, d)
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return 0
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if __name__ == "__main__":
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@ -1,3 +1,6 @@
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import matplotlib.pyplot as plt
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import numpy as np
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def gray_to_bin(gray):
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"""
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Convert Gray code to binary, operating on the integer value directly.
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@ -40,3 +43,16 @@ def bin_to_param(binary, q_min = 0.0, q_max = 10.0):
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except ValueError as e:
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print(f"Error in bin_to_param with input: '{binary}'")
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raise e
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def plot_graph(a, b, c, d):
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x = np.arange(-5., 5., 0.1)
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fig, ax = plt.subplots()
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y_approx = a*x**3 + b*x**2 + c*x + d
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y_exact = np.e**x
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ax.plot(x, y_approx, label='approx. func.')
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ax.plot(x, y_exact, label='e^x')
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ax.set_xlim(-5, 5)
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ax.set_ylim(-1, 5)
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plt.legend()
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plt.show()
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