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20 changes: 12 additions & 8 deletions boolean/boolean.py
Original file line number Diff line number Diff line change
Expand Up @@ -1340,28 +1340,32 @@ def simplify(self, sort=True):
# (A | B) | C = A | (B | C) = A | B | C
expr = expr.flatten()

# Remove duplicates while preserving order.
seen = set()
args = []
for arg in expr.args:
if arg not in seen:
seen.add(arg)
args.append(arg)

# Annihilation: A & 0 = 0, A | 1 = 1
if self.annihilator in expr.args:
if self.annihilator in seen:
return self.annihilator

# Idempotence: A & A = A, A | A = A
# this boils down to removing duplicates
args = []
for arg in expr.args:
if arg not in args:
args.append(arg)
if len(args) == 1:
return args[0]

# Identity: A & 1 = A, A | 0 = A
if self.identity in args:
if self.identity in seen:
args.remove(self.identity)
seen.remove(self.identity)
if len(args) == 1:
return args[0]

# Complementation: A & ~A = 0, A | ~A = 1
for arg in args:
if self.NOT(arg) in args:
if self.NOT(arg) in seen:
return self.annihilator

# Elimination: (A & B) | (A & ~B) = A, (A | B) & (A | ~B) = A
Expand Down