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Delete ag4masses/alphageometry/ar_test.py

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- # Copyright 2023 DeepMind Technologies Limited
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- #
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- # Licensed under the Apache License, Version 2.0 (the "License");
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- # you may not use this file except in compliance with the License.
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- # You may obtain a copy of the License at
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- #
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- # http://www.apache.org/licenses/LICENSE-2.0
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- #
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- # Unless required by applicable law or agreed to in writing, software
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- # distributed under the License is distributed on an "AS IS" BASIS,
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- # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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- # See the License for the specific language governing permissions and
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- # limitations under the License.
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- # ==============================================================================
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-
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- """Unit tests for ar.py."""
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- import unittest
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-
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- from absl.testing import absltest
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- import ar
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- import graph as gh
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- import problem as pr
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-
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-
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- class ARTest(unittest.TestCase):
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-
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- @classmethod
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- def setUpClass(cls):
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- super().setUpClass()
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- cls.defs = pr.Definition.from_txt_file('defs.txt', to_dict=True)
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- cls.rules = pr.Theorem.from_txt_file('rules.txt', to_dict=True)
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-
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- def test_update_groups(self):
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- """Test for update_groups."""
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- groups1 = [{1, 2}, {3, 4, 5}, {6, 7}]
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- groups2 = [{2, 3, 8}, {9, 10, 11}]
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-
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- _, links, history = ar.update_groups(groups1, groups2)
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- self.assertEqual(
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- history,
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- [
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- [{1, 2, 3, 4, 5, 8}, {6, 7}],
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- [{1, 2, 3, 4, 5, 8}, {6, 7}, {9, 10, 11}],
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- ],
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- )
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- self.assertEqual(links, [(2, 3), (3, 8), (9, 10), (10, 11)])
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-
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- groups1 = [{1, 2}, {3, 4}, {5, 6}, {7, 8}]
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- groups2 = [{2, 3, 8, 9, 10}, {3, 6, 11}]
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-
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- _, links, history = ar.update_groups(groups1, groups2)
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- self.assertEqual(
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- history,
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- [
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- [{1, 2, 3, 4, 7, 8, 9, 10}, {5, 6}],
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- [{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}],
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- ],
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- )
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- self.assertEqual(links, [(2, 3), (3, 8), (8, 9), (9, 10), (3, 6), (6, 11)])
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-
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- groups1 = []
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- groups2 = [{1, 2}, {3, 4}, {5, 6}, {2, 3}]
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-
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- _, links, history = ar.update_groups(groups1, groups2)
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- self.assertEqual(
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- history,
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- [
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- [{1, 2}],
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- [{1, 2}, {3, 4}],
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- [{1, 2}, {3, 4}, {5, 6}],
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- [{1, 2, 3, 4}, {5, 6}],
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- ],
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- )
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- self.assertEqual(links, [(1, 2), (3, 4), (5, 6), (2, 3)])
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-
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- def test_generic_table_simple(self):
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- tb = ar.Table()
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-
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- # If a-b = b-c & d-a = c-d
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- tb.add_eq4('a', 'b', 'b', 'c', 'fact1')
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- tb.add_eq4('d', 'a', 'c', 'd', 'fact2')
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- tb.add_eq4('x', 'y', 'z', 't', 'fact3') # distractor fact
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-
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- # Then b=d, because {fact1, fact2} but not fact3.
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- result = list(tb.get_all_eqs_and_why())
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- self.assertIn(('b', 'd', ['fact1', 'fact2']), result)
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-
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- def test_angle_table_inbisector_exbisector(self):
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- """Test that AR can figure out bisector & ex-bisector are perpendicular."""
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- # Load the scenario that we have cd is bisector of acb and
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- # ce is the ex-bisector of acb.
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- p = pr.Problem.from_txt(
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- 'a b c = triangle a b c; d = incenter d a b c; e = excenter e a b c ?'
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- ' perp d c c e'
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- )
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- g, _ = gh.Graph.build_problem(p, ARTest.defs)
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-
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- # Create an external angle table:
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- tb = ar.AngleTable('pi')
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-
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- # Add bisector & ex-bisector facts into the table:
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- ca, cd, cb, ce = g.names2nodes(['d(ac)', 'd(cd)', 'd(bc)', 'd(ce)'])
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- tb.add_eqangle(ca, cd, cd, cb, 'fact1')
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- tb.add_eqangle(ce, ca, cb, ce, 'fact2')
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-
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- # Add a distractor fact to make sure traceback does not include this fact
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- ab = g.names2nodes(['d(ab)'])[0]
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- tb.add_eqangle(ab, cb, cb, ca, 'fact3')
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-
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- # Check for all new equalities
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- result = list(tb.get_all_eqs_and_why())
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-
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- # halfpi is represented as a tuple (1, 2)
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- halfpi = (1, 2)
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-
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- # check that cd-ce == halfpi and this is because fact1 & fact2, not fact3
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- self.assertCountEqual(
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- result,
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- [
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- (cd, ce, halfpi, ['fact1', 'fact2']),
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- (ce, cd, halfpi, ['fact1', 'fact2']),
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- ],
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- )
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-
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- def test_angle_table_equilateral_triangle(self):
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- """Test that AR can figure out triangles with 3 equal angles => each is pi/3."""
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- # Load an equaliteral scenario
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- p = pr.Problem.from_txt('a b c = ieq_triangle ? cong a b a c')
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- g, _ = gh.Graph.build_problem(p, ARTest.defs)
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-
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- # Add two eqangles facts because ieq_triangle only add congruent sides
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- a, b, c = g.names2nodes('abc')
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- g.add_eqangle([a, b, b, c, b, c, c, a], pr.EmptyDependency(0, None))
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- g.add_eqangle([b, c, c, a, c, a, a, b], pr.EmptyDependency(0, None))
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-
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- # Create an external angle table:
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- tb = ar.AngleTable('pi')
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-
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- # Add the fact that there are three equal angles
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- ab, bc, ca = g.names2nodes(['d(ab)', 'd(bc)', 'd(ac)'])
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- tb.add_eqangle(ab, bc, bc, ca, 'fact1')
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- tb.add_eqangle(bc, ca, ca, ab, 'fact2')
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-
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- # Now check for all new equalities
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- result = list(tb.get_all_eqs_and_why())
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- result = [(x.name, y.name, z, t) for x, y, z, t in result]
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-
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- # 1/3 pi is represented as a tuple angle_60
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- angle_60 = (1, 3)
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- angle_120 = (2, 3)
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-
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- # check that angles constants are created and figured out:
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- self.assertCountEqual(
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- result,
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- [
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- ('d(bc)', 'd(ac)', angle_120, ['fact1', 'fact2']),
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- ('d(ab)', 'd(bc)', angle_120, ['fact1', 'fact2']),
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- ('d(ac)', 'd(ab)', angle_120, ['fact1', 'fact2']),
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- ('d(ac)', 'd(bc)', angle_60, ['fact1', 'fact2']),
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- ('d(bc)', 'd(ab)', angle_60, ['fact1', 'fact2']),
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- ('d(ab)', 'd(ac)', angle_60, ['fact1', 'fact2']),
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- ],
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- )
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-
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- def test_incenter_excenter_touchpoints(self):
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- """Test that AR can figure out incenter/excenter touchpoints are equidistant to midpoint."""
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-
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- p = pr.Problem.from_txt(
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- 'a b c = triangle a b c; d1 d2 d3 d = incenter2 a b c; e1 e2 e3 e ='
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- ' excenter2 a b c ? perp d c c e',
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- translate=False,
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- )
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- g, _ = gh.Graph.build_problem(p, ARTest.defs)
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-
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- a, b, c, ab, bc, ca, d1, d2, d3, e1, e2, e3 = g.names2nodes(
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- ['a', 'b', 'c', 'ab', 'bc', 'ac', 'd1', 'd2', 'd3', 'e1', 'e2', 'e3']
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- )
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-
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- # Create an external distance table:
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- tb = ar.DistanceTable()
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-
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- # DD can figure out the following facts,
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- # we manually add them to AR.
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- tb.add_cong(ab, ca, a, d3, a, d2, 'fact1')
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- tb.add_cong(ab, ca, a, e3, a, e2, 'fact2')
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- tb.add_cong(ca, bc, c, d2, c, d1, 'fact5')
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- tb.add_cong(ca, bc, c, e2, c, e1, 'fact6')
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- tb.add_cong(bc, ab, b, d1, b, d3, 'fact3')
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- tb.add_cong(bc, ab, b, e1, b, e3, 'fact4')
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-
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- # Now we check whether tb has figured out that
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- # distance(b, d1) == distance(e1, c)
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-
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- # linear comb exprssion of each variables:
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- b = tb.v2e['bc:b']
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- c = tb.v2e['bc:c']
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- d1 = tb.v2e['bc:d1']
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- e1 = tb.v2e['bc:e1']
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-
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- self.assertEqual(ar.minus(d1, b), ar.minus(c, e1))
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-
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-
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- if __name__ == '__main__':
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- absltest.main()