def is_almost_equal(first, second, places=7):
'''returns False if first and second aren't equal up to a desired precision.
Given two data structures, returns True if all elements of these structures
(in any nesting level) are either equal or almost equal.
floats are almost equal if they're equal when we consider only the
[places] most significant digits of each.
'''
if first == second: return True
cut_first = cut_insignificant_digits_recursively(first, places)
cut_second = cut_insignificant_digits_recursively(second, places)
return cut_first == cut_second
def is_almost_equal(first, second, places=7):
'''returns False if first and second aren't equal up to a desired precision.
Given two data structures, returns True if all elements of these structures
(in any nesting level) are either equal or almost equal.
floats are almost equal if they're equal when we consider only the
[places] most significant digits of each.
'''
if first == second: return True
cut_first = cut_insignificant_digits_recursively(first, places)
cut_second = cut_insignificant_digits_recursively(second, places)
return cut_first == cut_second
def test_cut_insignificant_digits_recursively_tuple_of_sets(self):
tuple_of_sets = ({12.123, 13.231,
14.321}, {7, 8.5}, {0.1234, 0.123, 100.100})
tuple_of_sets_cut_expected = ({12.12, 13.23,
14.32}, {7, 8.5}, {0.12, 0.12, 100.10})
tuple_of_sets_cut_actual = cut_insignificant_digits_recursively(
tuple_of_sets, places=2)
self.assertEqual(tuple_of_sets_cut_expected, tuple_of_sets_cut_actual)
def test_cut_insignificant_digits_recursively_tuple_of_tuples(self):
tuple_of_tuples = ((12.123, 13.231, 14.321), (7, 8.5), (0.1234, 0.123,
100.100))
tuple_of_tuples_cut_expected = ((12.12, 13.23, 14.32), (7, 8.5),
(0.12, 0.12, 100.10))
tuple_of_tuples_cut_actual = cut_insignificant_digits_recursively(
tuple_of_tuples, places=2)
self.assertEqual(tuple_of_tuples_cut_expected,
tuple_of_tuples_cut_actual)
def test_cut_insignificant_digits_recursively_list_of_tuples_of_sets(self):
tuple_of_sets1 = ({12.123, 13.231, 14.321}, {7, 8.5}, {0.1234, 0.123, 100.100})
tuple_of_sets2 = ({7.123, 1.231, 4.321}, {7.8888, 8.5}, {0.1234})
tuple_of_sets3 = ({0, 1.231, 4}, {7.8788, 8.5})
list_of_tuples_of_sets = [tuple_of_sets1, tuple_of_sets2, tuple_of_sets3]
tuple_of_sets1_cut_expected = ({12.12, 13.23, 14.32}, {7, 8.5}, {0.12, 0.12, 100.10})
tuple_of_sets2_cut_expected = ({7.12, 1.23, 4.32}, {7.88, 8.5}, {0.12})
tuple_of_sets3_cut_expected = ({0, 1.23, 4}, {7.87, 8.5})
list_of_tuples_of_sets_cut_expected = [tuple_of_sets1_cut_expected, tuple_of_sets2_cut_expected, tuple_of_sets3_cut_expected]
list_of_tuples_of_sets_cut_actual = cut_insignificant_digits_recursively(list_of_tuples_of_sets, places=2)
self.assertEqual(list_of_tuples_of_sets_cut_expected, list_of_tuples_of_sets_cut_actual)
def test_cut_insignificant_digits_recursively_list_of_tuples_of_sets(self):
tuple_of_sets1 = ({12.123, 13.231,
14.321}, {7, 8.5}, {0.1234, 0.123, 100.100})
tuple_of_sets2 = ({7.123, 1.231, 4.321}, {7.8888, 8.5}, {0.1234})
tuple_of_sets3 = ({0, 1.231, 4}, {7.8788, 8.5})
list_of_tuples_of_sets = [
tuple_of_sets1, tuple_of_sets2, tuple_of_sets3
]
tuple_of_sets1_cut_expected = ({12.12, 13.23,
14.32}, {7, 8.5}, {0.12, 0.12, 100.10})
tuple_of_sets2_cut_expected = ({7.12, 1.23, 4.32}, {7.88, 8.5}, {0.12})
tuple_of_sets3_cut_expected = ({0, 1.23, 4}, {7.87, 8.5})
list_of_tuples_of_sets_cut_expected = [
tuple_of_sets1_cut_expected, tuple_of_sets2_cut_expected,
tuple_of_sets3_cut_expected
]
list_of_tuples_of_sets_cut_actual = cut_insignificant_digits_recursively(
list_of_tuples_of_sets, places=2)
self.assertEqual(list_of_tuples_of_sets_cut_expected,
list_of_tuples_of_sets_cut_actual)
def test_cut_insignificant_digits_recursively_integer(self):
self.assertEqual(7, cut_insignificant_digits_recursively(7, places=3))
def test_cut_insignificant_digits_recursively_flat_tuple(self):
self.assertEqual((12.1, 12.2, 12.3),
cut_insignificant_digits_recursively((12.1, 12.21, 12.321), places=1))
def test_cut_insignificant_digits_recursively_flat_list(self):
self.assertEqual([12.1, 12.2, 12.3],
cut_insignificant_digits_recursively([12.1, 12.21, 12.321], places=1))
def test_cut_insignificant_digits_recursively_flat_set(self):
self.assertEqual({12.1, 12.2, 12.3},
cut_insignificant_digits_recursively(
{12.1, 12.21, 12.321}, places=1))
def test_cut_insignificant_digits_recursively_flat_dict(self):
flat_dict = {12.123: 13.231, 7: 8.5, 0.1234: 0.123}
flat_dict_cut_expected = {12.12: 13.23, 7: 8.5, 0.12: 0.12}
flat_dict_cut_actual = cut_insignificant_digits_recursively(flat_dict,
places=2)
self.assertEqual(flat_dict_cut_expected, flat_dict_cut_actual)
def test_cut_insignificant_digits_recursively_flat_list(self):
self.assertEqual([12.1, 12.2, 12.3],
cut_insignificant_digits_recursively(
[12.1, 12.21, 12.321], places=1))
def test_cut_insignificant_digits_recursively_flat_tuple(self):
self.assertEqual((12.1, 12.2, 12.3),
cut_insignificant_digits_recursively(
(12.1, 12.21, 12.321), places=1))
def test_cut_insignificant_digits_recursively_integer(self):
self.assertEqual(7, cut_insignificant_digits_recursively(7, places=3))
def test_cut_insignificant_digits_recursively_float(self):
self.assertEqual(
12.3, cut_insignificant_digits_recursively(12.3334, places=1))
def test_cut_insignificant_digits_recursively_float(self):
self.assertEqual(12.3, cut_insignificant_digits_recursively(12.3334, places=1))
def test_cut_insignificant_digits_recursively_flat_set(self):
self.assertEqual({12.1, 12.2, 12.3},
cut_insignificant_digits_recursively({12.1, 12.21, 12.321}, places=1))
def test_cut_insignificant_digits_recursively_flat_dict(self):
flat_dict = {12.123: 13.231, 7: 8.5, 0.1234: 0.123}
flat_dict_cut_expected = {12.12: 13.23, 7: 8.5, 0.12: 0.12}
flat_dict_cut_actual = cut_insignificant_digits_recursively(flat_dict, places=2)
self.assertEqual(flat_dict_cut_expected, flat_dict_cut_actual)
def test_cut_insignificant_digits_recursively_tuple_of_sets(self):
tuple_of_sets = ({12.123, 13.231, 14.321}, {7, 8.5}, {0.1234, 0.123, 100.100})
tuple_of_sets_cut_expected = ({12.12, 13.23, 14.32}, {7, 8.5}, {0.12, 0.12, 100.10})
tuple_of_sets_cut_actual = cut_insignificant_digits_recursively(tuple_of_sets, places=2)
self.assertEqual(tuple_of_sets_cut_expected, tuple_of_sets_cut_actual)
def test_cut_insignificant_digits_recursively_tuple_of_tuples(self):
tuple_of_tuples = ((12.123, 13.231, 14.321), (7, 8.5), (0.1234, 0.123, 100.100))
tuple_of_tuples_cut_expected = ((12.12, 13.23, 14.32), (7, 8.5), (0.12, 0.12, 100.10))
tuple_of_tuples_cut_actual = cut_insignificant_digits_recursively(tuple_of_tuples, places=2)
self.assertEqual(tuple_of_tuples_cut_expected, tuple_of_tuples_cut_actual)
