def test_number_A(self):
self.assertEqual(set(), pythagorean_triples(2))
self.assertEqual({(4, 3, 5)}, pythagorean_triples(4))
self.assertEqual(
{(32, 24, 40), (32, 60, 68), (32, 126, 130), (32, 255, 257)},
pythagorean_triples(32))
self.assertEqual(
{(512, 384, 640), (512, 960, 1088), (512, 2016, 2080),
(512, 4080, 4112), (512, 8184, 8200), (512, 16380, 16388),
(512, 32766, 32770), (512, 65535, 65537)},
pythagorean_triples(512))
def test_random_B(self):
for _ in range(10):
a = randint(10_000_000, 100_000_000) * 2 + 1
triples = pythagorean_triples(a)
for t in triples:
self.assertTrue(is_pythagorean_triple(t),
f"{t} is not Pythagorean triple")
def test_random_A(self):
for _ in range(10):
a = 2**randint(15, 50)
triples = pythagorean_triples(a)
for t in triples:
self.assertTrue(is_pythagorean_triple(t),
f"{t} is not Pythagorean triple")
def test_random_BP(self):
for _ in range(10):
a = randint(10_000_000, 100_000_000) * 2 + 1
primitive_triples = pythagorean_triples(a, True)
for t in primitive_triples:
self.assertTrue(is_pythagorean_triple(t),
f"{t} is not Pythagorean triple")
self.assertTrue(is_primitive(t), f'{t} is not primitive')
def test_random_AP(self):
for _ in range(10):
a = 2**randint(15, 50)
primitive_triples = pythagorean_triples(a, True)
for t in primitive_triples:
self.assertTrue(is_pythagorean_triple(t),
f"{t} is not Pythagorean triple")
self.assertTrue(is_primitive(t), f'{t} is not primitive')
def test_number_BP(self):
self.assertEqual({(3, 4, 5)}, pythagorean_triples(3, True))
self.assertEqual({(13, 84, 85)}, pythagorean_triples(13, True))
self.assertEqual({(271, 36720, 36721)}, pythagorean_triples(271, True))
self.assertEqual({(121, 7320, 7321)}, pythagorean_triples(121, True))
self.assertEqual({(153, 104, 185), (153, 11704, 11705)},
pythagorean_triples(153, True))
self.assertEqual({(235, 1092, 1117), (235, 27612, 27613)},
pythagorean_triples(235, True))
def test_number_CP(self):
self.assertEqual({(12, 5, 13), (12, 35, 37)},
pythagorean_triples(12, True))
self.assertEqual(set(), pythagorean_triples(14, True))
self.assertEqual(set(), pythagorean_triples(34, True))
self.assertEqual({(56, 33, 65), (56, 783, 785)},
pythagorean_triples(56, True))
self.assertEqual({(68, 285, 293), (68, 1155, 1157)},
pythagorean_triples(68, True))
self.assertEqual(set(), pythagorean_triples(126, True))
def test_number_B(self):
self.assertEqual({(3, 4, 5)}, pythagorean_triples(3))
self.assertEqual({(13, 84, 85)}, pythagorean_triples(13))
self.assertEqual({(271, 36720, 36721)}, pythagorean_triples(271))
self.assertEqual({(121, 660, 671), (121, 7320, 7321)},
pythagorean_triples(121))
self.assertEqual(
{(153, 104, 185), (153, 204, 255), (153, 420, 447),
(153, 680, 697), (153, 1296, 1305), (153, 3900, 3903),
(153, 11704, 11705)}, pythagorean_triples(153))
self.assertEqual(
{(235, 564, 611), (235, 1092, 1117), (235, 5520, 5525),
(235, 27612, 27613)}, pythagorean_triples(235))
def test_number_C(self):
self.assertEqual({(12, 5, 13), (12, 35, 37), (12, 9, 15),
(12, 16, 20)}, pythagorean_triples(12))
self.assertEqual({(14, 48, 50)}, pythagorean_triples(14))
self.assertEqual({(34, 288, 290)}, pythagorean_triples(34))
self.assertEqual(
{(56, 33, 65), (56, 42, 70), (56, 90, 106), (56, 105, 119),
(56, 192, 200), (56, 390, 394), (56, 783, 785)},
pythagorean_triples(56))
self.assertEqual(
{(68, 51, 85), (68, 285, 293), (68, 576, 580), (68, 1155, 1157)},
pythagorean_triples(68))
self.assertEqual(
{(126, 32, 130), (126, 120, 174), (126, 168, 210), (126, 432, 450),
(126, 560, 574), (126, 1320, 1326), (126, 3968, 3970)},
pythagorean_triples(126))
def test_number_AP(self):
self.assertEqual(set(), pythagorean_triples(2, True))
self.assertEqual({(4, 3, 5)}, pythagorean_triples(4, True))
self.assertEqual({(32, 255, 257)}, pythagorean_triples(32, True))
self.assertEqual({(512, 65535, 65537)}, pythagorean_triples(512, True))