FA-90152 / Bytecode virtual machines / Member archive
Branch relaxation: single relaxation pass · case 02
A branch pushed out of range by another branch widening stays short and wraps.
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 |
|---|---|---|---|
| regression: three-step widening cascade | {"branches": [[2, "jmp", 127], [14, "jz", 127], [131, "jmp.w", 127]], "size": 262} | {"branches": [[2, "jmp.w", 129], [15, "jz.w", 128], [134, "jmp.w", 128]], "size": 266} | Failed |
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