univer-7th-semester/genetic-algorithms
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vectorized

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Артём Тищенко
2025-11-05 20:32:09 +03:00
parent 26bd6da1b4
commit e6765c9254
8 changed files with 140 additions and 349 deletions
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63
lab4/gp/ops.py
View File

@@ -1,20 +1,21 @@
import math import numpy as np
from numpy.typing import NDArray
from .primitive import Operation from .primitive import Operation
type Value = NDArray[np.float64]
# Унарные операции # Унарные операции
NEG = Operation("-", 1, lambda x: -x[0]) NEG = Operation("-", 1, lambda x: -x[0])
SIN = Operation("sin", 1, lambda x: math.sin(x[0])) SIN = Operation("sin", 1, lambda x: np.sin(x[0]))
COS = Operation("cos", 1, lambda x: math.cos(x[0])) COS = Operation("cos", 1, lambda x: np.cos(x[0]))
def _safe_exp(a: float) -> float: def _safe_exp(v: Value) -> Value:
if a < 700.0: v_clipped = np.clip(v, -10.0, 10.0)
if a > -700.0: out = np.exp(v_clipped)
return math.exp(a) out[np.isnan(out) | np.isinf(out)] = 0.0
return 0.0 return out
else:
return float("inf")
EXP = Operation("exp", 1, lambda x: _safe_exp(x[0])) EXP = Operation("exp", 1, lambda x: _safe_exp(x[0]))
@@ -24,28 +25,34 @@ EXP = Operation("exp", 1, lambda x: _safe_exp(x[0]))
ADD = Operation("+", 2, lambda x: x[0] + x[1]) ADD = Operation("+", 2, lambda x: x[0] + x[1])
SUB = Operation("-", 2, lambda x: x[0] - x[1]) SUB = Operation("-", 2, lambda x: x[0] - x[1])
MUL = Operation("*", 2, lambda x: x[0] * x[1]) MUL = Operation("*", 2, lambda x: x[0] * x[1])
DIV = Operation("/", 2, lambda x: x[0] / x[1] if x[1] != 0 else float("inf"))
def safe_pow(a, b): def _safe_div(a: Value, b: Value) -> Value:
# 0 в отрицательной степени eps = 1e-12
if abs(a) <= 1e-12 and b < 0: denom = np.where(np.abs(b) >= eps, b, eps)
return float("inf") out = np.divide(a, denom)
# отрицательное основание при нецелой степени out = np.where(np.isnan(out) | np.isinf(out), 0.0, out)
if a < 0 and abs(b - round(b)) > 1e-12: return out
return float("inf")
# грубое насыщение (настрой пороги под задачу)
if abs(a) > 1 and b > 20:
return float("inf")
if abs(a) < 1 and b < -20:
return float("inf")
try:
return a**b
except (OverflowError, ValueError):
return float("inf")
POW = Operation("^", 2, lambda x: safe_pow(x[0], x[1])) DIV = Operation("/", 2, lambda x: _safe_div(x[0], x[1]))
def _safe_pow(a: Value, b: Value) -> Value:
a_clip = np.clip(a, -1e3, 1e3)
b_clip = np.clip(b, -3.0, 3.0)
# 0 в отрицательной степени → 0
mask_zero_neg = (a_clip == 0.0) & (b_clip < 0.0)
with np.errstate(over="ignore", invalid="ignore", divide="ignore", under="ignore"):
out = np.power(a_clip, b_clip)
out[mask_zero_neg] = 0.0
out[np.isnan(out) | np.isinf(out)] = 0.0
return out
POW = Operation("^", 2, lambda x: _safe_pow(x[0], x[1]))
# Все операции в либе # Все операции в либе
ALL = (NEG, SIN, COS, EXP, ADD, SUB, MUL, DIV, POW) ALL = (NEG, SIN, COS, EXP, ADD, SUB, MUL, DIV, POW)

10
lab4/gp/types.py
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@@ -1,13 +1,17 @@
from typing import TYPE_CHECKING, Callable, Protocol from typing import TYPE_CHECKING, Callable, Protocol
import numpy as np
from numpy.typing import NDArray
if TYPE_CHECKING: if TYPE_CHECKING:
from .chromosome import Chromosome from .chromosome import Chromosome
from .node import Node from .node import Node
from .primitive import Primitive from .primitive import Primitive
type InitFunc = Callable[["Chromosome"], "Node"] type Population = list[Chromosome]
type Value = float type InitFunc = Callable[[Chromosome], Node]
type Value = NDArray[np.float64]
class Context(Protocol): class Context(Protocol):
def __getitem__(self, key: "Primitive", /) -> Value: ... def __getitem__(self, key: Primitive, /) -> Value: ...

29
lab4/gp/utils.py Normal file
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@@ -0,0 +1,29 @@
from typing import Sequence
from .chromosome import Chromosome
from .primitive import Primitive
from .types import Population
def ramped_initialization(
chromosomes_per_variation: int,
depths: list[int],
terminals: Sequence[Primitive],
operations: Sequence[Primitive],
) -> Population:
"""Комбинация методов grow и full инициализации хромосом для инициализации начальной
популяции.
"""
population: Population = []
for depth in depths:
population.extend(
Chromosome.full_init(terminals, operations, depth)
for _ in range(chromosomes_per_variation)
)
population.extend(
Chromosome.grow_init(terminals, operations, depth)
for _ in range(chromosomes_per_variation)
)
return population

31
lab4/main.py
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@@ -1,3 +1,5 @@
import numpy as np
from gp import Chromosome, ops from gp import Chromosome, ops
from gp.population import ramped_initialization from gp.population import ramped_initialization
from gp.primitive import Var from gp.primitive import Var
@@ -10,16 +12,25 @@ print("Depth:", chrom.root.get_subtree_depth())
print("Formula:", chrom) print("Formula:", chrom)
print("Tree:\n", chrom.root.to_str_tree()) print("Tree:\n", chrom.root.to_str_tree())
values = [1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0] values = [
np.array([1.0]),
np.array([2.0]),
np.array([3.0]),
np.array([4.0]),
np.array([5.0]),
np.array([6.0]),
np.array([7.0]),
np.array([8.0]),
]
context = {var: value for var, value in zip(terminals, values)} context = {var: value for var, value in zip(terminals, values)}
print("Value for ", values, ":", chrom.root.eval(context)) print("Value for ", values, ":", chrom.root.eval(context))
# population = ramped_initialization( population = ramped_initialization(
# 5, 5,
# [3, 4, 5, 6, 7, 8], [3, 4, 5, 6, 7, 8],
# terminals, terminals,
# operations, operations,
# ) )
# print("Population size:", len(population)) print("Population size:", len(population))
# print("Population:") print("Population:")
# [print(str(chrom)) for chrom in population] [print(str(chrom)) for chrom in population]

6
lab4/pyproject.toml
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@@ -2,7 +2,9 @@
name = "lab4" name = "lab4"
version = "0.1.0" version = "0.1.0"
requires-python = ">=3.14" requires-python = ">=3.14"
dependencies = [] dependencies = [
"numpy>=2.3.4",
]
[tool.ruff] [tool.ruff]
target-version = "py314" target-version = "py314"

2
lab4/tests/__init__.py
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@@ -1,2 +0,0 @@
# Tests for gp library

304
lab4/tests/test_chromosome.py
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@@ -1,304 +0,0 @@
import math
import sys
from pathlib import Path
import pytest
# Добавляем путь к родительской директории для корректных импортов
sys.path.insert(0, str(Path(__file__).parent.parent))
from gp.chromosome import Chromosome
from gp.operation import Operation
from gp.ops import ADD, COS, DIV, EXP, MUL, NEG, SIN, SUB
from gp.terminal import Terminal
class TestChromosomeEval:
"""Тесты для метода eval класса Chromosome."""
def test_eval_single_terminal(self):
"""Тест вычисления хромосомы с одним терминалом."""
x = Terminal("x")
def init_single_terminal(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(x, [])
chromosome = Chromosome([ADD], [x], init_single_terminal)
result = chromosome.eval([5.0])
assert result == 5.0
result = chromosome.eval([-3.5])
assert result == -3.5
def test_eval_addition(self):
"""Тест вычисления простого сложения: x + y."""
x = Terminal("x")
y = Terminal("y")
def init_addition(chr: Chromosome) -> Chromosome.Node:
# Создаём дерево: x + y
return Chromosome.Node(
ADD,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
chromosome = Chromosome([ADD], [x, y], init_addition)
result = chromosome.eval([3.0, 4.0])
assert result == 7.0
result = chromosome.eval([10.0, -5.0])
assert result == 5.0
def test_eval_subtraction(self):
"""Тест вычисления вычитания: x - y."""
x = Terminal("x")
y = Terminal("y")
def init_subtraction(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(
SUB,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
chromosome = Chromosome([SUB], [x, y], init_subtraction)
result = chromosome.eval([10.0, 3.0])
assert result == 7.0
result = chromosome.eval([5.0, 8.0])
assert result == -3.0
def test_eval_multiplication(self):
"""Тест вычисления умножения: x * y."""
x = Terminal("x")
y = Terminal("y")
def init_multiplication(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(
MUL,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
chromosome = Chromosome([MUL], [x, y], init_multiplication)
result = chromosome.eval([3.0, 4.0])
assert result == 12.0
result = chromosome.eval([-2.0, 5.0])
assert result == -10.0
def test_eval_division(self):
"""Тест вычисления деления: x / y."""
x = Terminal("x")
y = Terminal("y")
def init_division(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(
DIV,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
chromosome = Chromosome([DIV], [x, y], init_division)
result = chromosome.eval([10.0, 2.0])
assert result == 5.0
result = chromosome.eval([7.0, 2.0])
assert result == 3.5
def test_eval_division_by_zero(self):
"""Тест деления на ноль (должно вернуть inf)."""
x = Terminal("x")
y = Terminal("y")
def init_division(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(
DIV,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
chromosome = Chromosome([DIV], [x, y], init_division)
result = chromosome.eval([10.0, 0.0])
assert result == float("inf")
def test_eval_unary_negation(self):
"""Тест вычисления унарного минуса: -x."""
x = Terminal("x")
def init_negation(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(NEG, [Chromosome.Node(x, [])])
chromosome = Chromosome([NEG], [x], init_negation)
result = chromosome.eval([5.0])
assert result == -5.0
result = chromosome.eval([-3.0])
assert result == 3.0
def test_eval_sin(self):
"""Тест вычисления синуса: sin(x)."""
x = Terminal("x")
def init_sin(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(SIN, [Chromosome.Node(x, [])])
chromosome = Chromosome([SIN], [x], init_sin)
result = chromosome.eval([0.0])
assert result == pytest.approx(0.0)
result = chromosome.eval([math.pi / 2])
assert result == pytest.approx(1.0)
result = chromosome.eval([math.pi])
assert result == pytest.approx(0.0, abs=1e-10)
def test_eval_cos(self):
"""Тест вычисления косинуса: cos(x)."""
x = Terminal("x")
def init_cos(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(COS, [Chromosome.Node(x, [])])
chromosome = Chromosome([COS], [x], init_cos)
result = chromosome.eval([0.0])
assert result == pytest.approx(1.0)
result = chromosome.eval([math.pi / 2])
assert result == pytest.approx(0.0, abs=1e-10)
result = chromosome.eval([math.pi])
assert result == pytest.approx(-1.0)
def test_eval_complex_expression(self):
"""Тест вычисления сложного выражения: (x + y) * (x - y)."""
x = Terminal("x")
y = Terminal("y")
def init_complex(chr: Chromosome) -> Chromosome.Node:
# (x + y) * (x - y)
return Chromosome.Node(
MUL,
[
Chromosome.Node(
ADD,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
),
Chromosome.Node(
SUB,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
),
],
)
chromosome = Chromosome([ADD, SUB, MUL], [x, y], init_complex)
# (5 + 3) * (5 - 3) = 8 * 2 = 16
result = chromosome.eval([5.0, 3.0])
assert result == 16.0
# (10 + 2) * (10 - 2) = 12 * 8 = 96
result = chromosome.eval([10.0, 2.0])
assert result == 96.0
def test_eval_nested_expression(self):
"""Тест вычисления вложенного выражения: sin(x + y)."""
x = Terminal("x")
y = Terminal("y")
def init_nested(chr: Chromosome) -> Chromosome.Node:
# sin(x + y)
return Chromosome.Node(
SIN,
[
Chromosome.Node(
ADD,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
],
)
chromosome = Chromosome([ADD, SIN], [x, y], init_nested)
result = chromosome.eval([math.pi / 4, math.pi / 4])
# sin(π/4 + π/4) = sin(π/2) = 1
assert result == pytest.approx(1.0)
def test_eval_exp(self):
"""Тест вычисления экспоненты: exp(x)."""
x = Terminal("x")
def init_exp(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(EXP, [Chromosome.Node(x, [])])
chromosome = Chromosome([EXP], [x], init_exp)
result = chromosome.eval([0.0])
assert result == pytest.approx(1.0)
result = chromosome.eval([1.0])
assert result == pytest.approx(math.e)
result = chromosome.eval([2.0])
assert result == pytest.approx(math.e**2)
def test_eval_multiple_calls(self):
"""Тест многократного вызова eval с разными значениями."""
x = Terminal("x")
y = Terminal("y")
def init_mul(chr: Chromosome) -> Chromosome.Node:
return Chromosome.Node(
MUL,
[
Chromosome.Node(x, []),
Chromosome.Node(y, []),
],
)
chromosome = Chromosome([MUL], [x, y], init_mul)
# Проверяем, что терминалы правильно обновляются
assert chromosome.eval([2.0, 3.0]) == 6.0
assert chromosome.eval([4.0, 5.0]) == 20.0
assert chromosome.eval([10.0, 0.5]) == 5.0
def test_eval_without_root_raises_error(self):
"""Тест, что eval вызывает ошибку, если root = None."""
def init_none(chr: Chromosome) -> Chromosome.Node:
return None # type: ignore
chromosome = Chromosome([ADD], [Terminal("x")], init_none)
with pytest.raises(ValueError, match="Chromosome is not initialized"):
chromosome.eval([1.0])

44
lab4/uv.lock generated Normal file
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@@ -0,0 +1,44 @@
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requires-python = ">=3.14"
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