FA-90149 / Bytecode virtual machines / Member archive
Branch relaxation: displacement -128 considered out of range · case 04
Backward branches of exactly -128 bytes are widened, growing code for no reason.
Case contract
Assemble ["label", name], ["data", nbytes], ["jmp", label], ["jz", label]. Branches start in the short form (2 bytes, signed 8-bit displacement from the end of the instruction, valid -128..127). A short branch whose displacement does not fit is widened (jmp.w 3 bytes, jz.w 4 bytes) and addresses are recomputed until no branch changes (branches never shrink). Report duplicate or undefined labels; otherwise return each branch as [address, mnemonic, displacement from its own end] and the total size.
Why this case matters
Variable-length branch encodings need fixpoint relaxation to produce correct displacements.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| backward branch exactly -128 stays short | {"branches": [[126, "jz.w", -130], [134, "jmp.w", -137]], "size": 137} | {"branches": [[126, "jz", -128], [132, "jmp.w", -135]], "size": 135} | Failed |
MEMBER ARCHIVE
The complete case is available to members.
This record includes three runnable implementations, regression fixtures, execution results, and source hashes.
Member access is invitation-based. Sign in with your invited account to inspect the sources.
Sign in to the archive ↗