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⚡️ Speed up function lagrange_interpolation by 32% #197

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⚡️ Speed up function lagrange_interpolation by 32% #197

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11 changes: 9 additions & 2 deletions src/numerical/calculus.py
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Original file line number Diff line number Diff line change
Expand Up @@ -19,11 +19,18 @@ def lagrange_interpolation(points: List[Tuple[float, float]], x: float) -> float
result = 0.0
n = len(points)

# Precompute x and y values for faster access
x_vals = [pt[0] for pt in points]
y_vals = [pt[1] for pt in points]

for i in range(n):
term = points[i][1]
term = y_vals[i]
xi = x_vals[i]
for j in range(n):
if i != j:
term *= (x - points[j][0]) / (points[i][0] - points[j][0])
# Perform division at each step to maintain numerical stability
# and preserve the original behavior (raising ZeroDivisionError)
term *= (x - x_vals[j]) / (xi - x_vals[j])
result += term

return result
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