In addition to the index scan inconsistency you described, I found two further security-relevant effects from the same root cause.
Effect 1: EXCLUDE constraint bypass (float4)
CREATE TABLE reservations (
room float4,
during tsrange,
EXCLUDE USING gist (room WITH =, during WITH &&)
);
INSERT INTO reservations VALUES ('NaN'::float4, '[2025-01-01,2025-01-02)');
INSERT INTO reservations VALUES ('NaN'::float4, '[2025-01-01,2025-01-02)');
SELECT COUNT(*) FROM reservations;
Expected: 1 (second insert blocked). Actual: 2. The EXCLUDE constraint is silently bypassed for NaN values, allowing duplicate conflicting rows to be inserted.
Effect 2: RLS bypass (float8)
CREATE TABLE measurements (id int, val float8);
CREATE INDEX ON measurements USING gist (val);
INSERT INTO measurements VALUES (1, 'NaN'), (2, 1.5);
ALTER TABLE measurements ENABLE ROW LEVEL SECURITY;
ALTER TABLE measurements FORCE ROW LEVEL SECURITY;
CREATE POLICY hide_nan ON measurements FOR SELECT USING (val != 'NaN'::float8);
CREATE ROLE lowpriv LOGIN;
GRANT SELECT ON measurements TO lowpriv;
SET ROLE lowpriv;
SET enable_seqscan = off;
SET enable_bitmapscan = off;
SELECT * FROM measurements ORDER BY id;
Expected: only (2, 1.5). Actual: both rows including (1, NaN). The RLS policy is bypassed when the GiST index is used because gbt_float8_consistent() sets *recheck = false unconditionally, so the heap-level RLS filter is never applied.
The root cause is that gbt_float8eq(NaN, NaN) returns false due to IEEE 754 semantics, causing BtreeGistNotEqualStrategyNumber in btree_utils_num.c:300 to incorrectly conclude that NaN satisfies != NaN. The fix (replacing raw C operators with float8_cmp_internal) addresses both effects. As an additional defensive measure, *recheck in the consistent functions should be set to true when the query or key involves NaN.