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5.73 kB
| # Copyright 2023 DeepMind Technologies Limited | |
| # | |
| # Licensed under the Apache License, Version 2.0 (the "License"); | |
| # you may not use this file except in compliance with the License. | |
| # You may obtain a copy of the License at | |
| # | |
| # http://www.apache.org/licenses/LICENSE-2.0 | |
| # | |
| # Unless required by applicable law or agreed to in writing, software | |
| # distributed under the License is distributed on an "AS IS" BASIS, | |
| # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| # See the License for the specific language governing permissions and | |
| # limitations under the License. | |
| # ============================================================================== | |
| """Unit tests for graph.py.""" | |
| import unittest | |
| from absl.testing import absltest | |
| import graph as gh | |
| import numericals as nm | |
| import problem as pr | |
| MAX_LEVEL = 1000 | |
| class GraphTest(unittest.TestCase): | |
| def setUpClass(cls): | |
| super().setUpClass() | |
| cls.defs = pr.Definition.from_txt_file('defs.txt', to_dict=True) | |
| cls.rules = pr.Theorem.from_txt_file('rules.txt', to_dict=True) | |
| # load a complex setup: | |
| txt = 'a b c = triangle a b c; h = orthocenter a b c; h1 = foot a b c; h2 = foot b c a; h3 = foot c a b; g1 g2 g3 g = centroid g1 g2 g3 g a b c; o = circle a b c ? coll h g o' # pylint: disable=line-too-long | |
| p = pr.Problem.from_txt(txt, translate=False) | |
| cls.g, _ = gh.Graph.build_problem(p, GraphTest.defs) | |
| def test_build_graph_points(self): | |
| g = GraphTest.g | |
| all_points = g.all_points() | |
| all_names = [p.name for p in all_points] | |
| self.assertCountEqual( | |
| all_names, | |
| ['a', 'b', 'c', 'g', 'h', 'o', 'g1', 'g2', 'g3', 'h1', 'h2', 'h3'], | |
| ) | |
| def test_build_graph_predicates(self): | |
| gr = GraphTest.g | |
| a, b, c, g, h, o, g1, g2, g3, h1, h2, h3 = gr.names2points( | |
| ['a', 'b', 'c', 'g', 'h', 'o', 'g1', 'g2', 'g3', 'h1', 'h2', 'h3'] | |
| ) | |
| # Explicit statements: | |
| self.assertTrue(gr.check_cong([b, g1, g1, c])) | |
| self.assertTrue(gr.check_cong([c, g2, g2, a])) | |
| self.assertTrue(gr.check_cong([a, g3, g3, b])) | |
| self.assertTrue(gr.check_perp([a, h1, b, c])) | |
| self.assertTrue(gr.check_perp([b, h2, c, a])) | |
| self.assertTrue(gr.check_perp([c, h3, a, b])) | |
| self.assertTrue(gr.check_cong([o, a, o, b])) | |
| self.assertTrue(gr.check_cong([o, b, o, c])) | |
| self.assertTrue(gr.check_cong([o, a, o, c])) | |
| self.assertTrue(gr.check_coll([a, g, g1])) | |
| self.assertTrue(gr.check_coll([b, g, g2])) | |
| self.assertTrue(gr.check_coll([g1, b, c])) | |
| self.assertTrue(gr.check_coll([g2, c, a])) | |
| self.assertTrue(gr.check_coll([g3, a, b])) | |
| self.assertTrue(gr.check_perp([a, h, b, c])) | |
| self.assertTrue(gr.check_perp([b, h, c, a])) | |
| # These are NOT part of the premises: | |
| self.assertFalse(gr.check_perp([c, h, a, b])) | |
| self.assertFalse(gr.check_coll([c, g, g3])) | |
| # These are automatically inferred by the graph datastructure: | |
| self.assertTrue(gr.check_eqangle([a, h1, b, c, b, h2, c, a])) | |
| self.assertTrue(gr.check_eqangle([a, h1, b, h2, b, c, c, a])) | |
| self.assertTrue(gr.check_eqratio([b, g1, g1, c, c, g2, g2, a])) | |
| self.assertTrue(gr.check_eqratio([b, g1, g1, c, o, a, o, b])) | |
| self.assertTrue(gr.check_para([a, h, a, h1])) | |
| self.assertTrue(gr.check_para([b, h, b, h2])) | |
| self.assertTrue(gr.check_coll([a, h, h1])) | |
| self.assertTrue(gr.check_coll([b, h, h2])) | |
| def test_enumerate_colls(self): | |
| g = GraphTest.g | |
| for a, b, c in g.all_colls(): | |
| self.assertTrue(g.check_coll([a, b, c])) | |
| self.assertTrue(nm.check_coll([a.num, b.num, c.num])) | |
| def test_enumerate_paras(self): | |
| g = GraphTest.g | |
| for a, b, c, d in g.all_paras(): | |
| self.assertTrue(g.check_para([a, b, c, d])) | |
| self.assertTrue(nm.check_para([a.num, b.num, c.num, d.num])) | |
| def test_enumerate_perps(self): | |
| g = GraphTest.g | |
| for a, b, c, d in g.all_perps(): | |
| self.assertTrue(g.check_perp([a, b, c, d])) | |
| self.assertTrue(nm.check_perp([a.num, b.num, c.num, d.num])) | |
| def test_enumerate_congs(self): | |
| g = GraphTest.g | |
| for a, b, c, d in g.all_congs(): | |
| self.assertTrue(g.check_cong([a, b, c, d])) | |
| self.assertTrue(nm.check_cong([a.num, b.num, c.num, d.num])) | |
| def test_enumerate_eqangles(self): | |
| g = GraphTest.g | |
| for a, b, c, d, x, y, z, t in g.all_eqangles_8points(): | |
| self.assertTrue(g.check_eqangle([a, b, c, d, x, y, z, t])) | |
| self.assertTrue( | |
| nm.check_eqangle( | |
| [a.num, b.num, c.num, d.num, x.num, y.num, z.num, t.num] | |
| ) | |
| ) | |
| def test_enumerate_eqratios(self): | |
| g = GraphTest.g | |
| for a, b, c, d, x, y, z, t in g.all_eqratios_8points(): | |
| self.assertTrue(g.check_eqratio([a, b, c, d, x, y, z, t])) | |
| self.assertTrue( | |
| nm.check_eqratio( | |
| [a.num, b.num, c.num, d.num, x.num, y.num, z.num, t.num] | |
| ) | |
| ) | |
| def test_enumerate_cyclics(self): | |
| g = GraphTest.g | |
| for a, b, c, d, x, y, z, t in g.all_cyclics(): | |
| self.assertTrue(g.check_cyclic([a, b, c, d, x, y, z, t])) | |
| self.assertTrue(nm.check_cyclic([a.num, b.num, c.num, d.num])) | |
| def test_enumerate_midps(self): | |
| g = GraphTest.g | |
| for a, b, c in g.all_midps(): | |
| self.assertTrue(g.check_midp([a, b, c])) | |
| self.assertTrue(nm.check_midp([a.num, b.num, c.num])) | |
| def test_enumerate_circles(self): | |
| g = GraphTest.g | |
| for a, b, c, d in g.all_circles(): | |
| self.assertTrue(g.check_circle([a, b, c, d])) | |
| self.assertTrue(nm.check_circle([a.num, b.num, c.num, d.num])) | |
| if __name__ == '__main__': | |
| absltest.main() | |