рисование дерева
This commit is contained in:
50
lab4/draw_tree.py
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50
lab4/draw_tree.py
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@@ -0,0 +1,50 @@
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from graphviz import Digraph
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def make_pow2_sum_tree(n=8):
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dot = Digraph("FullTree")
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dot.attr(rankdir="TB") # направление сверху вниз
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dot.attr("node", shape="circle", style="filled", fillcolor="lightgray")
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node_count = 0
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def new_node(label):
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nonlocal node_count
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node_id = f"n{node_count}"
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node_count += 1
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dot.node(node_id, label)
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return node_id
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def pow2_node(xi):
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n1 = new_node("pow2")
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n2 = new_node(xi)
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dot.edge(n1, n2)
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return n1
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def plus(a, b):
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n = new_node("+")
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dot.edge(n, a)
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dot.edge(n, b)
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return n
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all_terms = []
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for i in range(1, n + 1):
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terms = [pow2_node(f"x{j}") for j in range(1, i + 1)]
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s = terms[0]
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for t in terms[1:]:
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s = plus(s, t)
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all_terms.append(s)
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root = all_terms[0]
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for t in all_terms[1:]:
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root = plus(root, t)
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dot.node("root", "f(x)")
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dot.edge("root", root)
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return dot
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if __name__ == "__main__":
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g = make_pow2_sum_tree(8)
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g.render("original_tree", format="png", cleanup=True)
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@@ -1,3 +0,0 @@
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from .chromosome import Chromosome
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__all__ = ["Chromosome"]
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119
lab4/gp/ga.py
119
lab4/gp/ga.py
@@ -6,11 +6,12 @@ from copy import deepcopy
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from dataclasses import asdict, dataclass
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from typing import Callable
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import graphviz
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import numpy as np
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from matplotlib import pyplot as plt
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from numpy.typing import NDArray
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from .chromosome import Chromosome
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from .node import Node
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from .types import Fitnesses, Population
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type FitnessFn = Callable[[Chromosome], float]
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@@ -66,6 +67,7 @@ class Generation:
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number: int
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best: Chromosome
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best_fitness: float
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avg_fitness: float
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population: Population
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fitnesses: Fitnesses
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@@ -148,27 +150,45 @@ def eval_population(population: Population, fitness_func: FitnessFn) -> Fitnesse
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return np.array([fitness_func(chrom) for chrom in population])
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def render_tree_to_graphviz(
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node: Node, graph: graphviz.Digraph, node_id: str = "0"
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) -> None:
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"""Рекурсивно добавляет узлы дерева в graphviz граф."""
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graph.node(node_id, label=node.value.name)
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for i, child in enumerate(node.children):
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child_id = f"{node_id}_{i}"
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render_tree_to_graphviz(child, graph, child_id)
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graph.edge(node_id, child_id)
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def save_generation(
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generation: Generation, history: list[Generation], config: GARunConfig
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) -> None:
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"""Сохраняет визуализацию лучшей хромосомы поколения в виде дерева."""
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os.makedirs(config.results_dir, exist_ok=True)
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fig = plt.figure(figsize=(7, 7))
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fig.suptitle(
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f"Поколение #{generation.number}. "
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f"Лучшая особь: {generation.best_fitness:.0f}. "
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f"Среднее значение: {np.mean(generation.fitnesses):.0f}",
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fontsize=14,
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y=0.95,
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# Создаем граф для визуализации дерева
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dot = graphviz.Digraph(comment=f"Generation {generation.number}")
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dot.attr(rankdir="TB") # Top to Bottom direction
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dot.attr("node", shape="circle", style="filled", fillcolor="lightblue")
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# Добавляем заголовок
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depth = generation.best.root.get_depth()
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title = (
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f"Поколение #{generation.number}\\n"
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f"Лучшая особь: {generation.best_fitness:.4f}\\n"
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f"Глубина дерева: {depth}"
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)
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dot.attr(label=title, labelloc="t", fontsize="14")
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# Рисуем
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...
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# Рендерим дерево
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render_tree_to_graphviz(generation.best.root, dot)
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filename = f"generation_{generation.number:03d}.png"
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path_png = os.path.join(config.results_dir, filename)
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fig.savefig(path_png, dpi=150, bbox_inches="tight")
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plt.close(fig)
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# Сохраняем
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filename = f"generation_{generation.number:03d}"
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filepath = os.path.join(config.results_dir, filename)
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dot.render(filepath, format="png", cleanup=True)
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def genetic_algorithm(config: GARunConfig) -> GARunResult:
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@@ -216,6 +236,7 @@ def genetic_algorithm(config: GARunConfig) -> GARunResult:
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number=generation_number,
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best=population[best_index],
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best_fitness=fitnesses[best_index],
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avg_fitness=float(np.mean(fitnesses)),
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# population=deepcopy(population),
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population=[],
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# fitnesses=deepcopy(fitnesses),
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@@ -301,41 +322,61 @@ def genetic_algorithm(config: GARunConfig) -> GARunResult:
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end = time.perf_counter()
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assert best is not None, "Best was never set"
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return GARunResult(
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result = GARunResult(
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len(history),
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best,
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history,
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(end - start) * 1000.0,
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)
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# Автоматически строим графики истории фитнеса
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if config.save_generations:
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plot_fitness_history(result, save_dir=config.results_dir)
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def plot_fitness_history(result: GARunResult, save_path: str | None = None) -> None:
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"""Рисует график изменения лучших и средних значений фитнеса по поколениям."""
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return result
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def plot_fitness_history(result: GARunResult, save_dir: str | None = None) -> None:
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"""Рисует графики изменения лучших и средних значений фитнеса по поколениям.
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Создает два отдельных графика:
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- fitness_best.png - график лучших значений
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- fitness_avg.png - график средних значений
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"""
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generations = [gen.number for gen in result.history]
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best_fitnesses = [gen.best_fitness for gen in result.history]
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avg_fitnesses = [np.mean(gen.fitnesses) for gen in result.history]
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avg_fitnesses = [gen.avg_fitness for gen in result.history]
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fig, ax = plt.subplots(figsize=(10, 6))
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# График лучших значений
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fig_best, ax_best = plt.subplots(figsize=(10, 6))
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ax_best.plot(generations, best_fitnesses, linewidth=2, color="blue")
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ax_best.set_xlabel("Поколение", fontsize=12)
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ax_best.set_ylabel("Лучшее значение фитнес-функции", fontsize=12)
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ax_best.set_title("Лучшее значение фитнеса по поколениям", fontsize=14)
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ax_best.grid(True, alpha=0.3)
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ax.plot(
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generations, best_fitnesses, label="Лучшее значение", linewidth=2, color="blue"
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)
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ax.plot(
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generations,
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avg_fitnesses,
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label="Среднее значение",
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linewidth=2,
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color="orange",
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)
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ax.set_xlabel("Поколение", fontsize=12)
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ax.set_ylabel("Значение фитнес-функции", fontsize=12)
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ax.legend(fontsize=11)
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ax.grid(True, alpha=0.3)
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if save_path:
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fig.savefig(save_path, dpi=150, bbox_inches="tight")
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print(f"График сохранен в {save_path}")
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if save_dir:
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best_path = os.path.join(save_dir, "fitness_best.png")
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fig_best.savefig(best_path, dpi=150, bbox_inches="tight")
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print(f"График лучших значений сохранен в {best_path}")
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else:
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plt.show()
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plt.close(fig)
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plt.close(fig_best)
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# График средних значений
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fig_avg, ax_avg = plt.subplots(figsize=(10, 6))
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ax_avg.plot(generations, avg_fitnesses, linewidth=2, color="orange")
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ax_avg.set_xlabel("Поколение", fontsize=12)
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ax_avg.set_ylabel("Среднее значение фитнес-функции", fontsize=12)
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ax_avg.set_title("Среднее значение фитнеса по поколениям", fontsize=14)
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ax_avg.grid(True, alpha=0.3)
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if save_dir:
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avg_path = os.path.join(save_dir, "fitness_avg.png")
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fig_avg.savefig(avg_path, dpi=150, bbox_inches="tight")
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print(f"График средних значений сохранен в {avg_path}")
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else:
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plt.show()
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plt.close(fig_avg)
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@@ -1,30 +0,0 @@
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from typing import Sequence
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from .chromosome import Chromosome
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from .primitive import Primitive
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type Population = list[Chromosome]
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def ramped_initialization(
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chromosomes_per_variation: int,
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depths: list[int],
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terminals: Sequence[Primitive],
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operations: Sequence[Primitive],
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) -> Population:
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"""Комбинация методов grow и full инициализации хромосом для инициализации начальной
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популяции.
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"""
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population: Population = []
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for depth in depths:
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population.extend(
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Chromosome.full_init(terminals, operations, depth)
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for _ in range(chromosomes_per_variation)
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)
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population.extend(
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Chromosome.grow_init(terminals, operations, depth)
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for _ in range(chromosomes_per_variation)
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)
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return population
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20
lab4/main.py
20
lab4/main.py
@@ -1,16 +1,20 @@
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"""
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graphviz должен быть доступен в PATH (недостаточно просто установить через pip)
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Можно проверить командой
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dot -V
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"""
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import random
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from math import log
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import numpy as np
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from numpy.typing import NDArray
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from gp import Chromosome
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from gp.crossovers import crossover_subtree
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from gp.fitness import (
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MAEFitness,
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MSEFitness,
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NRMSEFitness,
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PenalizedFitness,
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RMSEFitness,
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)
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from gp.ga import GARunConfig, genetic_algorithm
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@@ -21,10 +25,10 @@ from gp.mutations import (
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NodeReplacementMutation,
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ShrinkMutation,
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)
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from gp.ops import ADD, COS, DIV, EXP, MUL, NEG, POW, SIN, SQUARE, SUB
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from gp.ops import ADD, COS, DIV, EXP, MUL, POW, SIN, SQUARE, SUB
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from gp.population import ramped_initialization
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from gp.primitive import Const, Var
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from gp.selection import roulette_selection, tournament_selection
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from gp.primitive import Var
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from gp.selection import tournament_selection
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NUM_VARS = 8
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TEST_POINTS = 10000
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@@ -34,8 +38,6 @@ SEED = 17
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np.random.seed(SEED)
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random.seed(SEED)
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X = np.random.uniform(-5.536, 5.536, size=(TEST_POINTS, NUM_VARS))
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# axes = [np.linspace(-5.536, 5.536, TEST_POINTS) for _ in range(NUM_VARS)]
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# X = np.array(np.meshgrid(*axes)).T.reshape(-1, NUM_VARS)
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operations = [SQUARE, SIN, COS, EXP, ADD, SUB, MUL, DIV, POW]
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terminals = [Var(f"x{i}") for i in range(1, NUM_VARS + 1)]
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@@ -74,7 +76,6 @@ config = GARunConfig(
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fitness_func=fitness_function,
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crossover_fn=lambda p1, p2: crossover_subtree(p1, p2, max_depth=MAX_DEPTH),
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mutation_fn=combined_mutation,
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# selection_fn=roulette_selection,
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selection_fn=lambda p, f: tournament_selection(p, f, k=3),
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init_population=init_population,
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seed=SEED,
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@@ -83,6 +84,7 @@ config = GARunConfig(
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elitism=15,
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max_generations=MAX_GENERATIONS,
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log_every_generation=True,
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save_generations=[1, 10, 20, 30, 40, 50, 100, 150, 200],
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)
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result = genetic_algorithm(config)
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BIN
lab4/original_tree.png
Normal file
BIN
lab4/original_tree.png
Normal file
Binary file not shown.
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After Width: | Height: | Size: 216 KiB |
@@ -3,6 +3,7 @@ name = "lab4"
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version = "0.1.0"
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requires-python = ">=3.14"
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dependencies = [
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"graphviz>=0.21",
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"matplotlib>=3.10.7",
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"numpy>=2.3.4",
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]
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11
lab4/uv.lock
generated
11
lab4/uv.lock
generated
@@ -69,6 +69,15 @@ wheels = [
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{ url = "https://files.pythonhosted.org/packages/c7/93/0dd45cd283c32dea1545151d8c3637b4b8c53cdb3a625aeb2885b184d74d/fonttools-4.60.1-py3-none-any.whl", hash = "sha256:906306ac7afe2156fcf0042173d6ebbb05416af70f6b370967b47f8f00103bbb", size = 1143175, upload-time = "2025-09-29T21:13:24.134Z" },
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]
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[[package]]
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name = "graphviz"
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version = "0.21"
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source = { registry = "https://pypi.org/simple" }
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sdist = { url = "https://files.pythonhosted.org/packages/f8/b3/3ac91e9be6b761a4b30d66ff165e54439dcd48b83f4e20d644867215f6ca/graphviz-0.21.tar.gz", hash = "sha256:20743e7183be82aaaa8ad6c93f8893c923bd6658a04c32ee115edb3c8a835f78", size = 200434, upload-time = "2025-06-15T09:35:05.824Z" }
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wheels = [
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{ url = "https://files.pythonhosted.org/packages/91/4c/e0ce1ef95d4000ebc1c11801f9b944fa5910ecc15b5e351865763d8657f8/graphviz-0.21-py3-none-any.whl", hash = "sha256:54f33de9f4f911d7e84e4191749cac8cc5653f815b06738c54db9a15ab8b1e42", size = 47300, upload-time = "2025-06-15T09:35:04.433Z" },
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]
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[[package]]
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name = "kiwisolver"
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version = "1.4.9"
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@@ -108,12 +117,14 @@ name = "lab4"
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version = "0.1.0"
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source = { virtual = "." }
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dependencies = [
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{ name = "graphviz" },
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{ name = "matplotlib" },
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{ name = "numpy" },
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]
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[package.metadata]
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requires-dist = [
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{ name = "graphviz", specifier = ">=0.21" },
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{ name = "matplotlib", specifier = ">=3.10.7" },
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{ name = "numpy", specifier = ">=2.3.4" },
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]
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