class PropagatingFormula:
SATISFIED: State = Formula.SATISFIED
UNRESOLVED: State = Formula.UNRESOLVED
UNSATISFIED: State = Formula.UNSATISFIED
def __init__(self: PropagatingFormula, file_object: TextIO) -> None:
self.formula = Formula(file_object)
self.decision_level: DecisionLevel = 0
self.propagate()
self.decision_history: List[Optional[Tuple[Variable, Value]]] = [None]
def _sat_variable_value_from_unit_clause(
self: PropagatingFormula,
clause: Clause) -> Tuple[Variable, Value]:
head_lit, _ = clause.get_head_tail_lit()
return abs(head_lit), 0 if head_lit < 0 else 1
def propagate(self: PropagatingFormula) -> None:
while self.formula.get_unit_clauses() and self.formula.UNRESOLVED:
clause = next(iter(self.formula.get_unit_clauses()))
variable, value = self._sat_variable_value_from_unit_clause(clause)
self.formula.assign(self.decision_level, variable, value, clause)
def add_clause(self: PropagatingFormula, clause: List[int]) -> None:
self.formula.add_clause(clause)
self.propagate()
def assign(self: PropagatingFormula, variable: Variable,
value: Value) -> None:
self.decision_level += 1
self.formula.assign(self.decision_level, variable, value, None)
self.decision_history.append((variable, value))
self.propagate()
def get_current_state(self: PropagatingFormula) -> State:
return self.formula.get_current_state()
def get_current_decision_level(self: PropagatingFormula) -> DecisionLevel:
return self.decision_level
def backtrack(self: PropagatingFormula, d: DecisionLevel) -> None:
self.decision_level = d
self.formula.backtrack(d)
while len(self.decision_history) > d:
self.decision_history.pop()
def get_partial_assignment(self: PropagatingFormula) -> Assignment:
return self.formula.get_partial_assignment()
def get_unit_clauses(self: PropagatingFormula) -> Set[Clause]:
return self.formula.get_unit_clauses()
def get_unsat_clauses(self: PropagatingFormula) -> Set[Clause]:
return self.formula.get_unsat_clauses()
def get_decision_level(self: PropagatingFormula) -> DecisionLevel:
return self.formula.get_decision_level()
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,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.UNRESOLVED,
Formula.SATISFIED
])
self.assertEqual(len(formula.assignment), 12)
self.assertEqual(formula.unit_clauses, set())
self.assertEqual(formula.unsat_clauses, set())
self.assertEqual(formula.decision_level, 7)
