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import unittest
import numpy as np
def compare_arrays(test_instance, exp, res, tol=1e-3):
exp_1d = exp.ravel()
res_1d = res.ravel()
norm_exp = np.linalg.norm(exp_1d)
norm_res = np.linalg.norm(res_1d)
if norm_exp == 0:
test_instance.assertEqual(norm_res, 0)
else:
diff = np.linalg.norm(res_1d - exp_1d) / norm_exp
test_instance.assertLess(diff, tol)
class ApproxComparisonTestCase(unittest.TestCase):
"""A mixin for adding proper floating point value and vector comparison."""
def assertClose(self, x, y, epsilon=1e-2, msg=""):
"""Asserts that two values or vectors satisfy ‖x-y‖ ≤ ε * max(‖x‖, ‖y‖)."""
x = np.atleast_1d(x).ravel()
y = np.atleast_1d(y).ravel()
x_norm = np.linalg.norm(x, ord=np.inf)
y_norm = np.linalg.norm(y, ord=np.inf)
diff_norm = np.linalg.norm(x - y, ord=np.inf)
self.assertLessEqual(diff_norm, epsilon * np.maximum(x_norm, y_norm), msg)
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