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hub / github.com/google-deepmind/alphageometry / DDTest

Class DDTest

dd_test.py:28–75  ·  view source on GitHub ↗

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26
27
28class DDTest(unittest.TestCase):
29
30 @classmethod
31 def setUpClass(cls):
32 super().setUpClass()
33 cls.defs = pr.Definition.from_txt_file('defs.txt', to_dict=True)
34 cls.rules = pr.Theorem.from_txt_file('rules.txt', to_dict=True)
35
36 def test_imo_2022_p4_should_succeed(self):
37 p = pr.Problem.from_txt(
38 'a b = segment a b; g1 = on_tline g1 a a b; g2 = on_tline g2 b b a; m ='
39 ' on_circle m g1 a, on_circle m g2 b; n = on_circle n g1 a, on_circle n'
40 ' g2 b; c = on_pline c m a b, on_circle c g1 a; d = on_pline d m a b,'
41 ' on_circle d g2 b; e = on_line e a c, on_line e b d; p = on_line p a'
42 ' n, on_line p c d; q = on_line q b n, on_line q c d ? cong e p e q'
43 )
44 g, _ = gh.Graph.build_problem(p, DDTest.defs)
45 goal_args = g.names2nodes(p.goal.args)
46
47 success = False
48 for level in range(MAX_LEVEL):
49 added, _, _, _ = dd.bfs_one_level(g, DDTest.rules, level, p)
50 if g.check(p.goal.name, goal_args):
51 success = True
52 break
53 if not added: # saturated
54 break
55
56 self.assertTrue(success)
57
58 def test_incenter_excenter_should_fail(self):
59 p = pr.Problem.from_txt(
60 'a b c = triangle a b c; d = incenter d a b c; e = excenter e a b c ?'
61 ' perp d c c e'
62 )
63 g, _ = gh.Graph.build_problem(p, DDTest.defs)
64 goal_args = g.names2nodes(p.goal.args)
65
66 success = False
67 for level in range(MAX_LEVEL):
68 added, _, _, _ = dd.bfs_one_level(g, DDTest.rules, level, p)
69 if g.check(p.goal.name, goal_args):
70 success = True
71 break
72 if not added: # saturated
73 break
74
75 self.assertFalse(success)
76
77
78if __name__ == '__main__':

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