reasoning-gym/tests/test_polynomial_equations.py

117 lines
3.6 KiB
Python

import pytest
from sympy import Symbol, sympify
from reasoning_gym import create_dataset
from reasoning_gym.algebra.polynomial_equations import PolynomialEquationsConfig, PolynomialEquationsDataset
def test_polynomial_config_validation():
"""Test that invalid configs raise appropriate errors"""
with pytest.raises(AssertionError):
PolynomialEquationsConfig(min_terms=0).validate()
with pytest.raises(AssertionError):
PolynomialEquationsConfig(min_value=0).validate()
with pytest.raises(AssertionError):
PolynomialEquationsConfig(min_degree=0, max_degree=3).validate()
with pytest.raises(AssertionError):
PolynomialEquationsConfig(min_degree=4, max_degree=3).validate()
with pytest.raises(AssertionError):
PolynomialEquationsConfig(operators=("^",)).validate()
def test_polynomial_equations_dataset_basic():
"""Test dataset creation and length"""
dataset_size = 50
config = PolynomialEquationsConfig(
min_terms=2,
max_terms=3,
min_value=1,
max_value=5,
min_degree=1,
max_degree=2,
seed=42,
size=dataset_size,
)
dataset = PolynomialEquationsDataset(config)
assert len(dataset) == dataset_size
def test_polynomial_equations_dataset_items():
"""Test that generated items have correct structure"""
ds = create_dataset(
"polynomial_equations",
min_terms=2,
max_terms=3,
min_value=1,
max_value=5,
min_degree=1,
max_degree=2,
size=3,
seed=100,
)
for item in ds:
assert "question" in item
assert "answer" in item
assert "metadata" in item
# Check metadata
assert isinstance(item["metadata"]["polynomial_expr"], str)
assert isinstance(item["metadata"]["variable"], str)
assert isinstance(item["metadata"]["degree"], int)
assert isinstance(item["metadata"]["real_solutions"], list)
# Check polynomial_expr existence
poly_str = item["metadata"]["polynomial_expr"]
# Ensure it can parse with sympy
sympify(poly_str)
def test_polynomial_equations_dataset_deterministic():
"""Test dataset reproducibility with fixed seed."""
cfg = PolynomialEquationsConfig(seed=999, size=3)
ds1 = PolynomialEquationsDataset(cfg)
ds2 = PolynomialEquationsDataset(cfg)
for i in range(len(ds1)):
assert ds1[i] == ds2[i], "Polynomial datasets with same seed should match exactly."
def test_polynomial_solutions_evaluation():
"""Test that real_solutions satisfy the polynomial equation."""
ds = create_dataset(
"polynomial_equations",
min_terms=2,
max_terms=4,
min_value=1,
max_value=10,
min_degree=1,
max_degree=3,
size=5,
seed=42,
)
for item in ds:
# Extract the polynomial expression and solutions
poly_str = item["metadata"]["polynomial_expr"]
real_solutions = item["metadata"]["real_solutions"]
x = Symbol(item["metadata"]["variable"])
# Parse the polynomial expression
poly_expr = sympify(poly_str)
# Verify that each solution satisfies the polynomial
for solution in real_solutions:
# Evaluate the expression with the solution substituted
evaluated_value = poly_expr.subs(x, solution)
# Ensure the evaluated value is close to zero (numerical stability threshold)
assert abs(evaluated_value) < 1e-6, (
f"Solution {solution} does not satisfy the polynomial {poly_str}. "
f"Evaluated value: {evaluated_value}"
)