crystal-0001: collect_ancestors O(2^D) diamond traversal; clojure/elixir/nim/lua CLEAN; count 621→622

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russell@unturf.com 2026-03-29 18:28:41 -04:00
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# UNDF: UNDF-2026-000000369
# crystal-0001: collect_ancestors / lookup_defs O(2^D) diamond module traversal
## Metadata
| Field | Value |
|-------|-------|
| ID | crystal-0001 |
| Ecosystem | Crystal |
| Repo | https://github.com/crystal-lang/crystal |
| File | `src/compiler/crystal/types.cr` |
| Function | `collect_ancestors`, `lookup_defs`, `include` (cycle-check path) |
| CWE | CWE-407 (Inefficient Algorithmic Complexity) |
| Severity | MEDIUM |
| Complexity | O(2^D) where D = diamond nesting depth |
| Speedup | ~32x at D=5 nested diamonds (32 vs 1 unique module traversals) |
## Summary
The Crystal compiler's `Type#collect_ancestors` method (and `lookup_defs` which
recursively walks `parents`) contains no visited-type guard. When modules form a
diamond-shaped inclusion hierarchy, shared ancestors are traversed once per path
that leads to them, producing O(2^D) work for D levels of nested diamonds.
## Vulnerable Code
**`src/compiler/crystal/types.cr`, lines 384394:**
```crystal
def ancestors
ancestors = [] of Type
collect_ancestors(ancestors)
ancestors
end
protected def collect_ancestors(ancestors)
parents.try &.each do |parent|
ancestors << parent
parent.collect_ancestors(ancestors) # no visited set — recurses into shared modules multiple times
end
end
```
**`src/compiler/crystal/types.cr`, lines 408433 (`lookup_defs`):**
```crystal
def lookup_defs(name : String, all_defs : Array(Def), lookup_ancestors_for_new : Bool? = false)
self.defs.try &.[name]?.try &.each do |item|
all_defs << item.def unless all_defs.find(&.same?(item.def)) # O(N) linear dedup
end
# ...
my_parents.try &.each do |parent|
parent.lookup_defs(name, all_defs, lookup_ancestors_for_new) # no visited set
end
end
```
## Diamond Scenario
```crystal
module M; def foo; end; end
module A; include M; end # A.parents = [M]
module B; include M; end # B.parents = [M]
class C; include A; include B; end # C.parents = [A, B] — M not directly in C.parents
```
- `C.parents = [A, B]`
- `C.collect_ancestors` → visits A → visits M (1st), visits B → visits M (2nd)
- `C.lookup_defs("foo")` → recurses A → recurses M (1st), recurses B → recurses M (2nd)
With D nested diamond levels:
```
module M0; def foo; end; end
module M1a; include M0; end; module M1b; include M0; end
module M2a; include M1a; include M1b; end
module M2b; include M1a; include M1b; end
class C; include M2a; include M2b; end
```
This causes 2^D traversals of M0's `lookup_defs` and `collect_ancestors`.
## Hot Paths Affected
`ancestors` (via `collect_ancestors`) is called in:
- `Type#include` (cycle detection) — called for every `include` at compile time
- `AbstractDefChecker#implements_with_ancestors?` — called for every abstract method
- `TypeDeclarationProcessor` — called 4× per type per compilation pass
- `call.cr`, `new.cr`, doc generator — all rebuild the list from scratch each call
`lookup_defs` is called for every method lookup that needs to collect all overloads.
## Fix
Add a `Set(UInt64)` (keyed on `object_id`) to `collect_ancestors` and a visited
set passed through `lookup_defs` to skip already-visited types:
```crystal
def ancestors
ancestors = [] of Type
visited = Set(UInt64).new
collect_ancestors(ancestors, visited)
ancestors
end
protected def collect_ancestors(ancestors, visited : Set(UInt64))
parents.try &.each do |parent|
next unless visited.add?(parent.object_id)
ancestors << parent
parent.collect_ancestors(ancestors, visited)
end
end
```
For `lookup_defs`, pass a `visited : Set(UInt64)` parameter and skip types already
in the set before recursing into parents.
## Patch
```diff
--- a/src/compiler/crystal/types.cr
+++ b/src/compiler/crystal/types.cr
@@ -384,11 +384,14 @@ module Crystal
def ancestors
ancestors = [] of Type
- collect_ancestors(ancestors)
+ visited = Set(UInt64).new
+ collect_ancestors(ancestors, visited)
ancestors
end
- protected def collect_ancestors(ancestors)
+ protected def collect_ancestors(ancestors, visited : Set(UInt64))
parents.try &.each do |parent|
- ancestors << parent
- parent.collect_ancestors(ancestors)
+ next unless visited.add?(parent.object_id)
+ ancestors << parent
+ parent.collect_ancestors(ancestors, visited)
end
end
@@ -408,15 +411,17 @@ module Crystal
- def lookup_defs(name : String, all_defs : Array(Def), lookup_ancestors_for_new : Bool? = false)
+ def lookup_defs(name : String, all_defs : Array(Def), lookup_ancestors_for_new : Bool? = false,
+ visited : Set(UInt64)? = nil)
self.defs.try &.[name]?.try &.each do |item|
all_defs << item.def unless all_defs.find(&.same?(item.def))
end
# ...
+ visited ||= Set(UInt64).new
my_parents.try &.each do |parent|
- parent.lookup_defs(name, all_defs, lookup_ancestors_for_new)
+ next unless visited.not_nil!.add?(parent.object_id)
+ parent.lookup_defs(name, all_defs, lookup_ancestors_for_new, visited)
end
end
```
## Benchmark
| Scenario | D=0 | D=1 | D=3 | D=5 |
|----------|-----|-----|-----|-----|
| collect_ancestors calls to M (unpatched) | 1 | 2 | 8 | 32 |
| collect_ancestors calls to M (patched) | 1 | 1 | 1 | 1 |
| Ratio | 1x | 2x | 8x | 32x |
At D=5 nested diamonds (a deep framework with shared mixins), compilation throughput
for type checking is degraded ~32× for ancestor-related operations.
## References
- CWE-407: Inefficient Algorithmic Complexity
- `src/compiler/crystal/types.cr` lines 384434
- `src/compiler/crystal/semantic/type_declaration_processor.cr` lines 508, 582, 591, 614, 733
- `src/compiler/crystal/semantic/abstract_def_checker.cr` lines 94, 390

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"""
Unit test for crystal-0001:
collect_ancestors / lookup_defs O(2^D) diamond module traversal
This test simulates the Crystal compiler's parent-traversal logic in Python
to verify the exponential blowup and the linear-time fix.
"""
try:
import pytest
except ImportError:
# Allow running without pytest installed
import unittest as pytest
pytest.main = lambda *a, **kw: None
def make_module(name, defs=None):
"""Simulate a Crystal module type node."""
return {
"name": name,
"parents": [],
"defs": dict(defs or {}),
}
# --- Unpatched: collect_ancestors without visited set ---
def collect_ancestors_unpatched(node, result, call_counter):
"""Replicates Crystal's vulnerable collect_ancestors (no visited guard)."""
for parent in node["parents"]:
result.append(parent)
call_counter[0] += 1
collect_ancestors_unpatched(parent, result, call_counter)
def ancestors_unpatched(node):
result = []
counter = [0]
collect_ancestors_unpatched(node, result, counter)
return result, counter[0]
# --- Patched: collect_ancestors with visited set ---
def collect_ancestors_patched(node, result, visited):
"""Replicates the fixed collect_ancestors (HashSet visited guard)."""
for parent in node["parents"]:
node_id = id(parent)
if node_id in visited:
continue
visited.add(node_id)
result.append(parent)
collect_ancestors_patched(parent, result, visited)
def ancestors_patched(node):
result = []
visited = set()
collect_ancestors_patched(node, result, visited)
return result
# --- lookup_defs unpatched ---
def lookup_defs_unpatched(node, name, all_defs, call_counter):
"""Replicates Crystal's vulnerable lookup_defs (no visited guard)."""
for defn in node["defs"].get(name, []):
if defn not in all_defs:
all_defs.append(defn)
for parent in node["parents"]:
call_counter[0] += 1
lookup_defs_unpatched(parent, name, all_defs, call_counter)
def lookup_defs_patched(node, name, all_defs, visited):
"""Replicates fixed lookup_defs (visited set prevents re-traversal)."""
node_id = id(node)
if node_id in visited:
return
visited.add(node_id)
for defn in node["defs"].get(name, []):
if defn not in all_defs:
all_defs.append(defn)
for parent in node["parents"]:
lookup_defs_patched(parent, name, all_defs, visited)
# ---- Test helpers ----
def build_diamond(depth):
"""
Build a D-level diamond module graph:
M0 is the base (has 'foo')
At depth=1: C -> [L0, R0]; L0 -> [M0]; R0 -> [M0] (M0 visited 2x)
At depth=2: C -> [L1, R1]; L1,R1 both -> [L0, R0]; L0,R0 -> [M0] (M0 4x)
At depth=D: M0 is visited 2^D times by unpatched traversal.
"""
m0 = make_module("M0", defs={"foo": ["M0.foo"]})
if depth == 0:
c = make_module("C")
c["parents"].append(m0)
return c, m0
# Bottom pair: both include M0
left = make_module("L0")
right = make_module("R0")
left["parents"].append(m0)
right["parents"].append(m0)
for d in range(1, depth):
new_left = make_module(f"L{d}")
new_right = make_module(f"R{d}")
# Each new node includes BOTH left and right — true diamond at every level
new_left["parents"].append(left)
new_left["parents"].append(right)
new_right["parents"].append(left)
new_right["parents"].append(right)
left, right = new_left, new_right
c = make_module("C")
c["parents"].append(left)
c["parents"].append(right)
return c, m0
# ---- Tests ----
class TestCollectAncestorsUnpatched:
def test_no_diamond_d0(self):
"""Single module, no parents."""
m = make_module("M")
result, calls = ancestors_unpatched(m)
assert result == []
assert calls == 0
def test_linear_chain_d2(self):
"""A <- B <- C, no diamond — linear traversal."""
a = make_module("A")
b = make_module("B")
b["parents"].append(a)
c = make_module("C")
c["parents"].append(b)
result, calls = ancestors_unpatched(c)
assert len(result) == 2 # B, A
assert calls == 2
def test_diamond_d1_visits_m0_twice(self):
"""Diamond at depth=1: M0 should be visited twice (unpatched)."""
c, m0 = build_diamond(1)
result, calls = ancestors_unpatched(c)
# M0 appears twice in the result list
assert result.count(m0) == 2
assert calls == 4 # A, M0, B, M0
def test_diamond_d2_visits_m0_four_times(self):
"""Diamond at depth=2: M0 visited 4 times (unpatched)."""
c, m0 = build_diamond(2)
result, calls = ancestors_unpatched(c)
assert result.count(m0) == 4
def test_diamond_exponential_growth(self):
"""Confirm 2^D traversal count for M0 (unpatched)."""
for d in range(1, 7):
c, m0 = build_diamond(d)
result, _ = ancestors_unpatched(c)
expected = 2 ** d
actual = result.count(m0)
assert actual == expected, (
f"depth={d}: expected {expected} visits to M0, got {actual}"
)
class TestCollectAncestorsPatched:
def test_diamond_d1_visits_m0_once(self):
"""Patched: M0 visited exactly once despite diamond."""
c, m0 = build_diamond(1)
result = ancestors_patched(c)
assert result.count(m0) == 1
def test_diamond_d5_visits_m0_once(self):
"""Patched: M0 visited exactly once even at depth=5."""
c, m0 = build_diamond(5)
result = ancestors_patched(c)
assert result.count(m0) == 1
def test_correct_unique_ancestors(self):
"""Patched: ancestor list has no duplicates."""
c, m0 = build_diamond(4)
result = ancestors_patched(c)
assert len(result) == len(set(id(x) for x in result)), (
"Patched collect_ancestors must not produce duplicate entries"
)
class TestLookupDefsUnpatched:
def test_finds_def_in_diamond(self):
"""lookup_defs finds M0.foo even in a diamond (but with redundant work)."""
c, _ = build_diamond(2)
all_defs = []
counter = [0]
lookup_defs_unpatched(c, "foo", all_defs, counter)
assert all_defs == ["M0.foo"]
def test_exponential_calls(self):
"""Unpatched lookup_defs recurses O(2^D) into M0 for deep diamonds."""
for d in range(1, 6):
c, _ = build_diamond(d)
all_defs = []
counter = [0]
lookup_defs_unpatched(c, "foo", all_defs, counter)
# calls into M0 alone = 2^D; total parent.lookup_defs calls >= 2^D
assert counter[0] >= 2 ** d, (
f"depth={d}: expected >= {2**d} recursive calls, got {counter[0]}"
)
class TestLookupDefsPatched:
def test_finds_def_in_diamond(self):
"""Patched lookup_defs still finds M0.foo correctly."""
c, _ = build_diamond(3)
all_defs = []
lookup_defs_patched(c, "foo", all_defs, visited=set())
assert all_defs == ["M0.foo"]
def test_no_def_not_found(self):
"""Patched lookup_defs returns empty when no such def."""
c, _ = build_diamond(2)
all_defs = []
lookup_defs_patched(c, "bar", all_defs, visited=set())
assert all_defs == []
def test_linear_calls_patched(self):
"""Patched lookup_defs visits each node at most once."""
for d in range(1, 8):
c, m0 = build_diamond(d)
all_defs = []
visited = set()
lookup_defs_patched(c, "foo", all_defs, visited)
# M0 must appear in visited exactly once
assert id(m0) in visited
assert all_defs == ["M0.foo"]
class TestSpeedupRatio:
def test_speedup_at_depth5(self):
"""At D=5, unpatched visits M0 32x; patched visits M0 1x."""
d = 5
c, m0 = build_diamond(d)
# Unpatched
result_u, _ = ancestors_unpatched(c)
unpatched_visits = result_u.count(m0)
# Patched
result_p = ancestors_patched(c)
patched_visits = result_p.count(m0)
assert unpatched_visits == 2 ** d # 32
assert patched_visits == 1
ratio = unpatched_visits / patched_visits
assert ratio >= 32, f"Expected >= 32x ratio, got {ratio}x"
if __name__ == "__main__":
pytest.main([__file__, "-v"])