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⚡️ Speed up function monte_carlo_pi by 46% #199

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⚡️ Speed up function monte_carlo_pi by 46% #199

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12 changes: 8 additions & 4 deletions src/numerical/monte_carlo.py
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Original file line number Diff line number Diff line change
Expand Up @@ -3,13 +3,17 @@

def monte_carlo_pi(num_samples: int) -> float:
"""Estimate π using Monte Carlo method."""
# Use local variable lookups for functions used in loop (reduces attribute lookup in tight loop)
uniform = random.uniform

inside_circle = 0

# Use local variable for accumulator
rng = (-1.0, 1.0)
for _ in range(num_samples):
x = random.uniform(-1, 1)
y = random.uniform(-1, 1)

if x**2 + y**2 <= 1:
x = uniform(*rng)
y = uniform(*rng)
if x * x + y * y <= 1.0:
inside_circle += 1

return 4 * inside_circle / num_samples