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Optimize numerical integration #2

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Optimize numerical integration #2

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10 changes: 4 additions & 6 deletions profiling/numerical_integration.py
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Original file line number Diff line number Diff line change
Expand Up @@ -4,27 +4,25 @@

def numerical_integration(f, a, b, n):
s = []
dx = (b - a) / n
for i in range(n):
dx = (b - a) / n
x = a + (i + 0.5) * dx
y = f(x)
s = s + [y * dx]
s.append(y * dx)
return s


def measure_integration_errors(f, F, n_values, a, b):
# Calculate all integrals
F_a_list = []
F_n_list = []
F_analytical = F(b) - F(a)
for n in n_values:
F_analytical = F(b) - F(a)
F_numerical_boxes = numerical_integration(f, a, b, n)
F_a_list.append(F_analytical)
F_n_list.append(F_numerical_boxes)

# Calculate and sum error
errors = []
for F_analytical, F_numerical_boxes in zip(F_a_list, F_n_list):
for F_numerical_boxes in F_n_list:
F_numerical = sum(F_numerical_boxes)
error = abs(F_analytical - F_numerical)
errors = errors + [error]
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