|
| 1 | +import math |
| 2 | +import unittest |
| 3 | +from random import randint |
| 4 | + |
| 5 | +from pythagorean_tuples import pythagorean_triples |
| 6 | + |
| 7 | + |
| 8 | +class TestExceptions(unittest.TestCase): |
| 9 | + def test_not_integer(self): |
| 10 | + self.assertRaises(TypeError, pythagorean_triples, 3.14, "TypeError has not been raised") |
| 11 | + |
| 12 | + def test_not_positive(self): |
| 13 | + self.assertRaises(ValueError, pythagorean_triples, 0, "ValueError has not been raised") |
| 14 | + |
| 15 | + |
| 16 | +class TestAPrimitive(unittest.TestCase): |
| 17 | + def test_2(self): |
| 18 | + self.assertEqual(set(), pythagorean_triples(2, True)) |
| 19 | + |
| 20 | + def test_4(self): |
| 21 | + self.assertEqual({(4, 3, 5)}, pythagorean_triples(4, True)) |
| 22 | + |
| 23 | + def test_32(self): |
| 24 | + self.assertEqual({(32, 255, 257)}, pythagorean_triples(32, True)) |
| 25 | + |
| 26 | + def test_random(self): |
| 27 | + res = pythagorean_triples(2 ** randint(10, 20), True) |
| 28 | + for t in res: |
| 29 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 30 | + self.assertEqual(1, math.gcd(*t), f"{t} is not primitive") |
| 31 | + for n in t: |
| 32 | + self.assertIs(int, type(n)) |
| 33 | + |
| 34 | + def test_random_huge(self): |
| 35 | + res = pythagorean_triples(2 ** randint(100, 200), True) |
| 36 | + for t in res: |
| 37 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 38 | + self.assertEqual(1, math.gcd(*t), f"{t} is not primitive") |
| 39 | + for n in t: |
| 40 | + self.assertIs(int, type(n)) |
| 41 | + |
| 42 | + |
| 43 | +class TestA(unittest.TestCase): |
| 44 | + def test_2(self): |
| 45 | + self.assertEqual(set(), pythagorean_triples(2, False)) |
| 46 | + |
| 47 | + def test_4(self): |
| 48 | + self.assertEqual({(4, 3, 5)}, pythagorean_triples(4, False)) |
| 49 | + |
| 50 | + def test_32(self): |
| 51 | + self.assertEqual({(32, 24, 40), (32, 60, 68), (32, 126, 130), (32, 255, 257)}, pythagorean_triples(32, False)) |
| 52 | + |
| 53 | + def test_random(self): |
| 54 | + res = pythagorean_triples(2 ** randint(10, 20), False) |
| 55 | + for t in res: |
| 56 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 57 | + for n in t: |
| 58 | + self.assertIs(int, type(n)) |
| 59 | + |
| 60 | + def test_random_huge(self): |
| 61 | + res = pythagorean_triples(2 ** randint(100, 200), False) |
| 62 | + for t in res: |
| 63 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 64 | + for n in t: |
| 65 | + self.assertIs(int, type(n)) |
| 66 | + |
| 67 | + |
| 68 | +class TestBPrimitive(unittest.TestCase): |
| 69 | + def test_3(self): |
| 70 | + self.assertEqual({(3, 4, 5)}, pythagorean_triples(3, True)) |
| 71 | + |
| 72 | + def test_13(self): |
| 73 | + self.assertEqual({(13, 84, 85)}, pythagorean_triples(13, True)) |
| 74 | + |
| 75 | + def test_271(self): |
| 76 | + self.assertEqual({(271, 36720, 36721)}, pythagorean_triples(271, True)) |
| 77 | + |
| 78 | + def test_121(self): |
| 79 | + self.assertEqual({(121, 7320, 7321)}, pythagorean_triples(121, True)) |
| 80 | + |
| 81 | + def test_153(self): |
| 82 | + self.assertEqual({(153, 104, 185), (153, 11704, 11705)}, pythagorean_triples(153, True)) |
| 83 | + |
| 84 | + def test_235(self): |
| 85 | + self.assertEqual({(235, 1092, 1117), (235, 27612, 27613)}, pythagorean_triples(235, True)) |
| 86 | + |
| 87 | + def test_random(self): |
| 88 | + r = randint(10, 1000) |
| 89 | + while r % 2 == 0: |
| 90 | + r //= 2 |
| 91 | + res = pythagorean_triples(r, True) |
| 92 | + for t in res: |
| 93 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 94 | + self.assertEqual(1, math.gcd(*t), f"{t} is not primitive") |
| 95 | + for n in t: |
| 96 | + self.assertIs(int, type(n)) |
| 97 | + |
| 98 | + def test_random_huge(self): |
| 99 | + r = randint(100, 1000000) |
| 100 | + while r % 2 == 0: |
| 101 | + r //= 2 |
| 102 | + res = pythagorean_triples(r, True) |
| 103 | + for t in res: |
| 104 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 105 | + self.assertEqual(1, math.gcd(*t), f"{t} is not primitive") |
| 106 | + for n in t: |
| 107 | + self.assertIs(int, type(n)) |
| 108 | + |
| 109 | + |
| 110 | +class TestB(unittest.TestCase): |
| 111 | + def test_3(self): |
| 112 | + self.assertEqual({(3, 4, 5)}, pythagorean_triples(3, False)) |
| 113 | + |
| 114 | + def test_13(self): |
| 115 | + self.assertEqual({(13, 84, 85)}, pythagorean_triples(13, False)) |
| 116 | + |
| 117 | + def test_271(self): |
| 118 | + self.assertEqual({(271, 36720, 36721)}, pythagorean_triples(271, False)) |
| 119 | + |
| 120 | + def test_121(self): |
| 121 | + self.assertEqual({(121, 660, 671), (121, 7320, 7321)}, pythagorean_triples(121, False)) |
| 122 | + |
| 123 | + def test_153(self): |
| 124 | + self.assertEqual({(153, 104, 185), (153, 204, 255), (153, 420, 447), (153, 680, 697), (153, 1296, 1305), |
| 125 | + (153, 3900, 3903), (153, 11704, 11705)}, pythagorean_triples(153, False)) |
| 126 | + |
| 127 | + def test_235(self): |
| 128 | + self.assertEqual({(235, 564, 611), (235, 1092, 1117), (235, 5520, 5525), (235, 27612, 27613)}, |
| 129 | + pythagorean_triples(235, False)) |
| 130 | + |
| 131 | + def test_random(self): |
| 132 | + r = randint(10, 1000) |
| 133 | + while r % 2 == 0: |
| 134 | + r //= 2 |
| 135 | + res = pythagorean_triples(r, False) |
| 136 | + for t in res: |
| 137 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 138 | + for n in t: |
| 139 | + self.assertIs(int, type(n)) |
| 140 | + |
| 141 | + def test_random_huge(self): |
| 142 | + r = randint(100, 1000000) |
| 143 | + while r % 2 == 0: |
| 144 | + r //= 2 |
| 145 | + res = pythagorean_triples(r, False) |
| 146 | + for t in res: |
| 147 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 148 | + for n in t: |
| 149 | + self.assertIs(int, type(n)) |
| 150 | + |
| 151 | + |
| 152 | +class TestCPrimitive(unittest.TestCase): |
| 153 | + def test_12(self): |
| 154 | + self.assertEqual({(12, 5, 13), (12, 35, 37)}, pythagorean_triples(12, True)) |
| 155 | + |
| 156 | + def test_14(self): |
| 157 | + self.assertEqual(set(), pythagorean_triples(14, True)) |
| 158 | + |
| 159 | + def test_34(self): |
| 160 | + self.assertEqual(set(), pythagorean_triples(34, True)) |
| 161 | + |
| 162 | + def test_56(self): |
| 163 | + self.assertEqual({(56, 33, 65), (56, 783, 785)}, pythagorean_triples(56, True)) |
| 164 | + |
| 165 | + def test_random(self): |
| 166 | + res = pythagorean_triples(randint(10, 100) * 2, True) |
| 167 | + for t in res: |
| 168 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 169 | + self.assertEqual(1, math.gcd(*t), f"{t} is not primitive") |
| 170 | + for n in t: |
| 171 | + self.assertIs(int, type(n)) |
| 172 | + |
| 173 | + def test_random_huge(self): |
| 174 | + res = pythagorean_triples(randint(100, 100000) * 2, True) |
| 175 | + for t in res: |
| 176 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 177 | + self.assertEqual(1, math.gcd(*t), f"{t} is not primitive") |
| 178 | + for n in t: |
| 179 | + self.assertIs(int, type(n)) |
| 180 | + |
| 181 | + |
| 182 | +class TestC(unittest.TestCase): |
| 183 | + def test_12(self): |
| 184 | + self.assertEqual({(12, 5, 13), (12, 35, 37)}, pythagorean_triples(12, False)) |
| 185 | + |
| 186 | + def test_14(self): |
| 187 | + self.assertEqual({(14, 48, 50)}, pythagorean_triples(14, False)) |
| 188 | + |
| 189 | + def test_34(self): |
| 190 | + self.assertEqual({(34, 288, 290)}, pythagorean_triples(34, False)) |
| 191 | + |
| 192 | + def test_56(self): |
| 193 | + self.assertEqual({(56, 33, 65), (56, 42, 70), (56, 90, 106), (56, 105, 119), (56, 192, 200), (56, 390, 394), |
| 194 | + (56, 783, 785)}, pythagorean_triples(56, False)) |
| 195 | + |
| 196 | + def test_random(self): |
| 197 | + res = pythagorean_triples(randint(10, 100) * 2, False) |
| 198 | + for t in res: |
| 199 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 200 | + for n in t: |
| 201 | + self.assertIs(int, type(n)) |
| 202 | + |
| 203 | + def test_random_huge(self): |
| 204 | + res = pythagorean_triples(randint(100, 100000) * 2, False) |
| 205 | + for t in res: |
| 206 | + self.assertEqual(t[2] ** 2, t[0] ** 2 + t[1] ** 2, f"{t} is not Pythagorean triple") |
| 207 | + for n in t: |
| 208 | + self.assertIs(int, type(n)) |
| 209 | + |
| 210 | + |
| 211 | +if __name__ == '__main__': |
| 212 | + unittest.main() |
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