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test_formula.py
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test_formula.py
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from __future__ import annotations
import io
import unittest
from formula import Formula
PHIU = io.StringIO(
"""c FILE: phi1u.cnf
c
p cnf 3 3
1 2 0
1 0
3 0
"""
)
PHI1C = io.StringIO(
"""c FILE: phi1c.cnf
c
c SOURCE: Handbook of Satisfiability, by Joao Marques-Silva, Ines Lynce and Sharad Malik, 2008
p cnf 12 8
1 31 -2 0
1 -3 0
2 3 4 0
-4 -5 0
21 -4 -6 0
5 6 0
7 8 9 10 0
7 8 9 10 0
""")
class TestFormula(unittest.TestCase):
def test_unit_clauses_on_input(self: TestFormula):
formula = Formula(PHIU)
self.assertEqual(formula.unit_clauses, set([formula.formula[1], formula.formula[2]]))
def test_formula(self: TestFormula):
"""
10 = 0 @ 0
8 = 0 @ 1
21 = 0 @ 2
31 = 0 @ 3
7 = 0 @ 4
9 = 1 @ 4
1 = 0 @ 5
2 = 0 @ 5
3 = 0 @ 5
4 = 1 @ 5
5 = 0 @ 5
6 = 0 @ 5
"""
formula = Formula(PHI1C)
self.assertEqual(formula.base_state, Formula.UNRESOLVED)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
7: set([
formula.formula[6],
formula.formula[7]
]),
10: set([
formula.formula[6],
formula.formula[7]
]),
21: set([
formula.formula[4]
]),
31: set([
formula.formula[0]
]),
})
self.assertEqual(formula.mutation_history, [set()])
self.assertEqual(formula.state_history, [Formula.UNRESOLVED])
self.assertEqual(len(formula.assignment), 0)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 0)
formula.assign(0, 10, 0, None)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
7: set([
formula.formula[6],
formula.formula[7]
]),
9: set([
formula.formula[6],
formula.formula[7]
]),
21: set([
formula.formula[4]
]),
31: set([
formula.formula[0]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
])
])
self.assertEqual(formula.state_history, [Formula.UNRESOLVED])
self.assertEqual(len(formula.assignment), 1)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 0)
formula.assign(1, 8, 0, None)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
7: set([
formula.formula[6],
formula.formula[7]
]),
9: set([
formula.formula[6],
formula.formula[7]
]),
21: set([
formula.formula[4]
]),
31: set([
formula.formula[0]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
])
])
self.assertEqual(formula.state_history, [Formula.UNRESOLVED, Formula.UNRESOLVED])
self.assertEqual(len(formula.assignment), 2)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 1)
formula.assign(2, 21, 0, None)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
7: set([
formula.formula[6],
formula.formula[7]
]),
9: set([
formula.formula[6],
formula.formula[7]
]),
31: set([
formula.formula[0]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 3)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 2)
formula.assign(3, 31, 0, None)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1],
formula.formula[0]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
7: set([
formula.formula[6],
formula.formula[7]
]),
9: set([
formula.formula[6],
formula.formula[7]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 4)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 3)
formula.assign(4, 7, 0, None)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1],
formula.formula[0]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
9: set([
formula.formula[6],
formula.formula[7]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 5)
self.assertEqual(formula.unit_clauses, set([
formula.formula[6],
formula.formula[7]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 4)
formula.assign(4, 9, 1, None)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1],
formula.formula[0]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 6)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 4)
formula.assign(5, 1, 0, None)
self.assertEqual(formula.variable_clauses, {
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
]),
set([
formula.formula[1],
formula.formula[0]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 7)
self.assertEqual(formula.unit_clauses, set([
formula.formula[0],
formula.formula[1]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 5)
formula.assign(5, 2, 0, None)
self.assertEqual(formula.variable_clauses, {
3: set([
formula.formula[1],
formula.formula[2]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
]),
set([
formula.formula[1],
formula.formula[0],
formula.formula[2]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 8)
self.assertEqual(formula.unit_clauses, set([
formula.formula[1]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 5)
formula.assign(5, 3, 0, None)
self.assertEqual(formula.variable_clauses, {
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
]),
set([
formula.formula[1],
formula.formula[0],
formula.formula[2]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 9)
self.assertEqual(formula.unit_clauses, set([
formula.formula[2]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 5)
formula.assign(5, 4, 1, None)
self.assertEqual(formula.variable_clauses, {
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
]),
set([
formula.formula[1],
formula.formula[0],
formula.formula[2],
formula.formula[3],
formula.formula[4]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 10)
self.assertEqual(formula.unit_clauses, set([
formula.formula[3],
formula.formula[4]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 5)
formula.assign(5, 5, 0, None)
self.assertEqual(formula.variable_clauses, {
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
]),
set([
formula.formula[1],
formula.formula[0],
formula.formula[2],
formula.formula[3],
formula.formula[4],
formula.formula[5]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 11)
self.assertEqual(formula.unit_clauses, set([
formula.formula[4],
formula.formula[5]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 5)
formula.assign(5, 6, 0, None)
self.assertEqual(formula.variable_clauses, {})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
]),
set([
formula.formula[1],
formula.formula[0],
formula.formula[2],
formula.formula[3],
formula.formula[4],
formula.formula[5]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNSATISFIED
])
self.assertEqual(len(formula.assignment), 12)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set([
formula.formula[5]
]))
self.assertEqual(formula.decision_level, 5)
formula.backtrack(4)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1],
formula.formula[0]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
]),
set([
formula.formula[6],
formula.formula[7]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 6)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 4)
formula.backtrack(2)
self.assertEqual(formula.variable_clauses, {
1: set([
formula.formula[1]
]),
2: set([
formula.formula[0],
formula.formula[2]
]),
3: set([
formula.formula[1]
]),
4: set([
formula.formula[2],
formula.formula[3],
formula.formula[4]
]),
5: set([
formula.formula[3],
formula.formula[5]
]),
6: set([
formula.formula[4],
formula.formula[5]
]),
7: set([
formula.formula[6],
formula.formula[7]
]),
9: set([
formula.formula[6],
formula.formula[7]
]),
31: set([
formula.formula[0]
]),
})
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 3)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 2)
formula.assign(3, 31, 0, None)
self.assertEqual(formula.mutation_history, [
set([
formula.formula[6],
formula.formula[7]
]),
set(),
set([
formula.formula[4]
]),
set([
formula.formula[0]
])
])
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 4)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 3)
formula.assign(4, 7, 0, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 5)
self.assertEqual(formula.unit_clauses, set([
formula.formula[6],
formula.formula[7]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 4)
formula.assign(4, 9, 1, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 6)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 4)
formula.assign(5, 1, 1, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 7)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 5)
formula.assign(6, 5, 0, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 8)
self.assertEqual(formula.unit_clauses, set([
formula.formula[5]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 6)
formula.assign(6, 6, 1, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 9)
self.assertEqual(formula.unit_clauses, set([
formula.formula[4]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 6)
formula.assign(6, 4, 0, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 10)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 6)
formula.assign(7, 2, 0, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED
])
self.assertEqual(len(formula.assignment), 11)
self.assertEqual(formula.unit_clauses, set([
formula.formula[2]
]))
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 7)
formula.assign(7, 3, 1, None)
self.assertEqual(formula.state_history, [
Formula.UNRESOLVED,
Formula.UNRESOLVED,