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kg-cols-integer-codecs

The groupant beside kg/src/cols.rs in the Mova repository: what the code computes, what it never does, how to go back from its outputs, its invariants, cost and checks.

Facts

Implementation material. A Mova code model describes this code at one source revision: partial models, finite checks and their stated scope. It is not a reviewed general exposition, and its labels are shown as written, never raised.

Components

componentlabelwhere
approximantpartialapproximant
astpartial../syntax.json
compositionpartialcomposition
costpartialcost
descriptantpresentdescriptant
invariantpartialinvariant
testsexecuted bounded checkstests

Obernants

The typed relations around the forward model: the behaviour complement (what the code never does), the reverse reconstruction (every input compatible with an output) and specialised views.

idtypelabelwhere
behavior_complementbehavior_complementpartial source derived modelbehavior_complement
reverse_reconstructionreverse_reconstructionpartial source derived modelreverse_reconstruction
modulomodulopartial source derived modelmodulo
signed_boundarysigned_boundarypartial source derived modelsigned_boundary
empty_countempty_countpartial source derived modelempty_count
error_cursorerror_cursorpartial source derived modelerror_cursor

Model text

descriptant

kg-cols-integer-codecs

Private LEB/delta/zigzag/byteplane transformations.

Modeling epoch โ€” 2026-10-31

Source read before tests and models; retained prospective notes accompany the parent. Current evidence uses bounded invented inputs only. This is partial modeling, not proof or corpus accuracy.

approximant

Forward relation

LEB emits 7-bit groups; delta wraps x-prev; inverse wraps prev+d. Zigzag encodes signed wrapping difference. Planes transpose four little-endian bytes across all values.

Executable approximant gap

Exact categorical structure, identifiers, parser decisions and effects have no useful percentage metric established here. No executable surrogate, automatic substitution or 1/2/5/10% guarantee is claimed.

invariant

Invariant and domain

Decode of encoder-produced values and exact count recovers u64/u32 bitpatterns including MAX and repeated zero.

Cost and resources

O(n), <=10 LEB bytes/u64,4n planes; allocation count arithmetic not checked.

cost

Cost and resources

O(n), <=10 LEB bytes/u64,4n planes; allocation count arithmetic not checked.

composition

Composition

Private LEB/delta/zigzag/byteplane transformations.

LEB emits 7-bit groups; delta wraps x-prev; inverse wraps prev+d. Zigzag encodes signed wrapping difference. Planes transpose four little-endian bytes across all values.

The parent invokes scoped transformations through the actual functions named in their source ranges. Children partition useful observations, not a complete semantic proof; boundaries can omit helpers, tests and effects.

models

behavior_complement

Truncated continuation/too-long LEB and wrong plane length error. Trailing LEB bytes and overlarge terminal payload are not fully rejected.

reverse_reconstruction

Plane transpose at fixed n is bijective; decoded LEB vector has multiple byte preimages from trailing/noncanonical encodings.

modulo

Wrapping arithmetic handles descending src too, despite usual sorted production use.

signed_boundary

u64 endpoints reinterpret as i64 differences; zigzag and inverse preserve two's complement bitpattern.

empty_count

n0 decodes no LEB values even with extra bytes; plane n0 requires empty bytes.

error_cursor

unleb increments position after each consumed byte; no rollback on error.

tests

Evidence

Parent source checks (a fragment inherits only the behavior they actually exercise):

Selected kg tests: 15 named outcomes, twice debug/twice release, equal sorted outcomes. Standalone actual global/build.rs: 3 named outcomes per run, twice debug/twice optimized; build_child is normally no-op, parent fixture invokes it against isolated synthetic seeds. Eight compiled source mutations (one per source) each compiled successfully and exited101 on the focused assertion; exact source restoration followed by positive rerun.

This fragment's untested branches remain source-derived. No live graph, DB, corpus, teacher, GPU or held-out evaluation was used. Command specs and numeric exits are retained in the external wave29 graphlang receipt. Strict kg Clippy reports existing source lints; see receipt.

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