---
title: "latex-test-gate — Mova code model"
description: "Mova code model of latex/tests/gate.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/latex/tests/gate.rs.groupant/"
---
Elamur: [Mova](https://md.mova.elamur.ai/free/en/) · [Dictionary](https://md.dictionary.elamur.ai/free/en/) · [Research](https://md.research.elamur.ai/free/en/) · **Groupants**

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# latex-test-gate

The groupant beside latex/tests/gate.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

- **kind:** groupant
- **status:** partial source bound model
- **source:** [`latex/tests/gate.rs`](https://github.com/ElamurAI/mova-free/blob/main/latex/tests/gate.rs)
- **source SHA-256:** `710172ffe064b1fe…`
- **repository folder:** [`latex/tests/gate.rs.groupant`](https://github.com/ElamurAI/mova-free/tree/main/latex/tests/gate.rs.groupant)
- **repository commit:** `855da7bd4a7b`

> **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

| component | label | where |
|---|---|---|
| **approximant** | partial | [approximant](#approximant) |
| **ast** | partial | `syntax.json` |
| **composition** | partial | [composition](#composition) |
| **descriptant** | present | [descriptant](#descriptant) |
| **invariant** | partial | [invariant](#invariant) |
| **tests** | executed bounded checks | [tests](#tests) |

## 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.

| id | type | label | where |
|---|---|---|---|
| `behavior_complement` | behavior_complement | partial source derived model | [behavior_complement](#behavior-complement) |
| `reverse_reconstruction` | reverse_reconstruction | partial source derived model | [reverse_reconstruction](#reverse-reconstruction) |
| `roundtrip_relation` | roundtrip_relation | partial source derived model | [roundtrip_relation](#roundtrip-relation) |
| `golden_outputs` | golden_outputs | partial source derived model | [golden_outputs](#golden-outputs) |
| `fault_applicability` | fault_applicability | partial source derived model | [fault_applicability](#fault-applicability) |
| `coverage_boundary` | coverage_boundary | partial source derived model | [coverage_boundary](#coverage-boundary) |

## Parts

- [latex-test-gate-stage0](https://md.groupants.elamur.ai/free/en/mova/latex/tests/gate.rs.groupant/stage0.groupant/)
- [latex-test-gate-stage1](https://md.groupants.elamur.ai/free/en/mova/latex/tests/gate.rs.groupant/stage1.groupant/)
- [latex-test-gate-stage2](https://md.groupants.elamur.ai/free/en/mova/latex/tests/gate.rs.groupant/stage2.groupant/)

## Model text


### descriptant

#### latex-test-gate

SUITE parses each fixture, rejects unknowns, checks structural round trip and canonical fixed point. Golden LaTeX/text compare exact strings; unknown spans checked against source slices; malformed fixtures check error kind and position; macro fixtures compare expanded trees and loop rejection.

Epoch2026-10-31: full source reviewed before edits; prospective models retained externally. No optimization.

### approximant

#### Forward relation

SUITE parses each fixture, rejects unknowns, checks structural round trip and canonical fixed point. Golden LaTeX/text compare exact strings; unknown spans checked against source slices; malformed fixtures check error kind and position; macro fixtures compare expanded trees and loop rejection.

No useful approximate executable metric for exact categorical syntax; future caps1/2/5/10% only.

### invariant

#### Domain, invariant and cost

SUITE parses each fixture, rejects unknowns, checks structural round trip and canonical fixed point. Golden LaTeX/text compare exact strings; unknown spans checked against source slices; malformed fixtures check error kind and position; macro fixtures compare expanded trees and loop rejection.

Only selected synthetic tests executed; document sample and random soup not run. No live VMM/API, corpus, GPU or external effects.

Selected tests linear in total fixture parsing/printing cost; loop witnesses bounded by parser expansion guards. Optional soup30000 has fixed PRNG but skipped here.

### composition

#### Composition

SUITE parses each fixture, rejects unknowns, checks structural round trip and canonical fixed point. Golden LaTeX/text compare exact strings; unknown spans checked against source slices; malformed fixtures check error kind and position; macro fixtures compare expanded trees and loop rejection.

Build generates table enums consumed by parser dispatch and printers. Lexer tokens feed macros and parser; parser returns AST whose equality ignores spans. Printers and gate compare that quotient, not original bytes. Shared parent syntax backs scoped stages; stages are byte-bound projections, not independent Rust modules.

### models

### behavior_complement

The harness excludes passing when a chosen fixture violates expected output, but does not exclude all unseen parser/printer faults. Corruption test requires some applicable defect to turn red and explicitly accepts an unaffected fraction fault.

### reverse_reconstruction

A successful test transcript has many compatible implementations; fixtures constrain outputs only at their cases. Failing assertion identifies a violated observation, not a unique bug or original input beyond logged fixture.

### roundtrip_relation

gate check compares parser tree modulo Span equality, not byte source identity.

### golden_outputs

Exact expected canonical strings and Unicode text constrain different projections.

### fault_applicability

At least one configured fault changes each affected fixture; SwapFrac on x+y remains green.

### coverage_boundary

Finite fixtures and explicit skips; no universal TeX correctness inferred.

### tests

#### Evidence — 2026-10-31

7 integration tests via --test gate with document and soup skipped

Selected library filters ast:: lex:: macros:: parse:: print:: table:: and integration gate excluding document_extraction_with_preamble_macros and random_token_soup_never_panics_and_roundtrips. Direct rustc --test latex/build.rs exercises private helpers. All selected tests twice debug/release with identical sorted names. Four compiled mutants at build/AST/parser/printer boundaries fail assertions then exact restoration passes. These do not individually cover every source. Build-main failure effects, allocation failures and universal roundtrip are unproved. Strict Clippy reports existing lints. No corpus/live VMM/API/GPU/full-school/held-out tests.