# 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): @classmethod 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()