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14 changes: 5 additions & 9 deletions src/numpy_pandas/np_opts.py
Original file line number Diff line number Diff line change
Expand Up @@ -78,15 +78,11 @@ def slow_matrix_inverse(matrix: List[List[float]]) -> List[List[float]]:

def monte_carlo_pi(num_samples: int) -> float:
"""Estimate π using Monte Carlo method."""
inside_circle = 0

for _ in range(num_samples):
x = random.uniform(-1, 1)
y = random.uniform(-1, 1)

if x**2 + y**2 <= 1:
inside_circle += 1

# Batch sample coordinates to list or tuple for reduced lookup overhead
coords = (
(random.uniform(-1, 1), random.uniform(-1, 1)) for _ in range(num_samples)
)
inside_circle = sum(x * x + y * y <= 1 for x, y in coords)
return 4 * inside_circle / num_samples


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