FA-11468 / Compiler transformation correctness / Member archive
Division strength reduction rounds negative dividends downward · case 03
Division strength reduction rounds negative dividends downward.
Case contract
Lower signed mathematical integer division by 2**shift, shift>=0, returning truncation toward zero. No finite-width overflow is modeled.
Why this case matters
A deterministic miniature compiler-pass model; inputs are explicit IR facts, not a production compiler.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| negative nonmultiple | -2 | -1 | Failed |
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