This commit is contained in:
Douglas Creager 2025-09-25 21:40:19 -04:00
parent ef2f49dcf1
commit 239dda8a05

View file

@ -583,14 +583,38 @@ impl<'db> Node<'db> {
} }
} }
fn minimize(self, db: &'db dyn Db, assignment: Node<'db>) -> Minimized<'db, 'db> { /// Returns the minimization of this BDD given a particular set of inputs that you don't care
match (self, assignment) { /// about. The result BDD's output is undefined for all of the inputs in the `do_not_care` set,
/// but it will agree with this BDD for all other inputs.
///
/// The `do_not_care` set typically encodes impossible situations in the input space. For a
/// specific example involving constraint sets, this lets us model two constraints that are
/// disjoint, whose intersection is empty. It is not possible for both constraints to be true,
/// and so any input with both of the corresponding BDD variables set is invalid. For those
/// invalid inputs, it doesn't matter which output the BDD produces. Of all of the possible
/// BDDs that produce correct results for the _valid_ inputs, we want the smallest one.
///
/// We currently use a brute-force algorithm to calculate the minimization, which should be
/// fine for the sizes of BDDs and don't-care sets that we work with.
fn minimize(self, db: &'db dyn Db, do_not_care: Node<'db>) -> Self {
self.minimizations(db, do_not_care)
.as_slice()
.iter()
.copied()
.next()
.expect("all BDDs should have a minimization")
}
/// Returns all of the minimizations of this BDD that have the same size as the smallest
/// minimization.
fn minimizations(self, db: &'db dyn Db, do_not_care: Node<'db>) -> Minimized<'db, 'db> {
match (self, do_not_care) {
(_, Node::AlwaysTrue) => Minimized::OwnedTwo([Node::AlwaysTrue, Node::AlwaysFalse]), (_, Node::AlwaysTrue) => Minimized::OwnedTwo([Node::AlwaysTrue, Node::AlwaysFalse]),
(_, Node::AlwaysFalse) | (Node::AlwaysTrue | Node::AlwaysFalse, _) => { (_, Node::AlwaysFalse) | (Node::AlwaysTrue | Node::AlwaysFalse, _) => {
Minimized::OwnedOne(self) Minimized::OwnedOne(self)
} }
(Node::Interior(interior), Node::Interior(assignment)) => { (Node::Interior(interior), Node::Interior(do_not_care)) => {
Minimized::Borrowed(interior.minimize(db, assignment)) Minimized::Borrowed(interior.minimizations(db, do_not_care))
} }
} }
} }
@ -931,21 +955,21 @@ impl<'db> InteriorNode<'db> {
} }
#[salsa::tracked(returns(deref), heap_size=ruff_memory_usage::heap_size)] #[salsa::tracked(returns(deref), heap_size=ruff_memory_usage::heap_size)]
fn minimize(self, db: &'db dyn Db, assignment: Self) -> Box<[Node<'db>]> { fn minimizations(self, db: &'db dyn Db, do_not_care: Self) -> Box<[Node<'db>]> {
let self_constraint = self.constraint(db); let self_constraint = self.constraint(db);
let assignment_constraint = assignment.constraint(db); let do_not_care_constraint = do_not_care.constraint(db);
let (true_minimized, false_minimized) = match self_constraint.cmp(&assignment_constraint) { let (true_minimized, false_minimized) = match self_constraint.cmp(&do_not_care_constraint) {
Ordering::Equal => ( Ordering::Equal => (
self.if_true(db).minimize(db, assignment.if_true(db)), (self.if_true(db)).minimizations(db, do_not_care.if_true(db)),
self.if_false(db).minimize(db, assignment.if_false(db)), (self.if_false(db)).minimizations(db, do_not_care.if_false(db)),
), ),
Ordering::Less => ( Ordering::Less => (
self.if_true(db).minimize(db, Node::Interior(assignment)), (self.if_true(db)).minimizations(db, Node::Interior(do_not_care)),
self.if_false(db).minimize(db, Node::Interior(assignment)), (self.if_false(db)).minimizations(db, Node::Interior(do_not_care)),
), ),
Ordering::Greater => ( Ordering::Greater => (
Node::Interior(self).minimize(db, assignment.if_true(db)), Node::Interior(self).minimizations(db, do_not_care.if_true(db)),
Node::Interior(self).minimize(db, assignment.if_false(db)), Node::Interior(self).minimizations(db, do_not_care.if_false(db)),
), ),
}; };
let mut result = Vec::new(); let mut result = Vec::new();
@ -1009,12 +1033,20 @@ impl<'db> InteriorNode<'db> {
None None
}; };
if let Some((larger_constraint, smaller_constraint)) = larger_smaller { if let Some((larger_constraint, smaller_constraint)) = larger_smaller {
let larger_node = Node::new_satisfied_constraint(db, larger_constraint.when_true());
let smaller_node =
Node::new_satisfied_constraint(db, smaller_constraint.when_true());
let not_larger_node =
Node::new_satisfied_constraint(db, larger_constraint.when_false());
let not_smaller_node =
Node::new_satisfied_constraint(db, smaller_constraint.when_false());
// larger smaller = larger // larger smaller = larger
simplified = simplified.substitute_union( simplified = simplified.substitute_union(
db, db,
larger_constraint.when_true(), larger_constraint.when_true(),
smaller_constraint.when_true(), smaller_constraint.when_true(),
Node::new_satisfied_constraint(db, larger_constraint.when_true()), larger_node,
); );
// ¬larger ∧ ¬smaller = ¬larger // ¬larger ∧ ¬smaller = ¬larger
@ -1022,16 +1054,17 @@ impl<'db> InteriorNode<'db> {
db, db,
larger_constraint.when_false(), larger_constraint.when_false(),
smaller_constraint.when_false(), smaller_constraint.when_false(),
Node::new_satisfied_constraint(db, larger_constraint.when_false()), not_larger_node,
); );
// smaller ∧ ¬larger = false // smaller ∧ ¬larger = false
// (¬larger removes everything that's present in smaller) // (¬larger removes everything that's present in smaller)
simplified = simplified.substitute_intersection( simplified = simplified.minimize(
db, db,
larger_constraint.when_false(), Node::new_satisfied_constraint(db, smaller_constraint.when_true()).and(
smaller_constraint.when_true(), db,
Node::AlwaysFalse, Node::new_satisfied_constraint(db, larger_constraint.when_false()),
),
); );
// larger ¬smaller = true // larger ¬smaller = true