---
title: "mlab-display-format-choice — Mova code model"
description: "Mova code model of mlab/src/display.rs: components with their labels, obernants and the model text."
url: "https://groupants.elamur.ai/free/en/mova/mlab/src/display.rs.groupant/format-choice.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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# mlab-display-format-choice

The groupant beside mlab/src/display.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_fragment
- **status:** partial source bound model
- **source:** [`mlab/src/display.rs`](https://github.com/ElamurAI/mova-free/blob/main/mlab/src/display.rs)
- **source SHA-256:** `7c29a46772ca4d47…`
- **covers:** Accumulate finite maxabs/minabs and all_int; all-int branch chooses integer unless digits>15, otherwise fixed versus exponent depends on rounded digit extrema. (bytes 2170–3694)
- **part of:** [mlab-display](https://md.groupants.elamur.ai/free/en/mova/mlab/src/display.rs.groupant/)
- **repository folder:** [`mlab/src/display.rs.groupant/format-choice.groupant`](https://github.com/ElamurAI/mova-free/tree/main/mlab/src/display.rs.groupant/format-choice.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` |
| **cost** | symbolic source derived | [invariant](#invariant) |
| **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) |
| `state_invariant` | state_invariant | partial source derived model | [state_invariant](#state-invariant) |
| `failure_precedence` | failure_precedence | partial source derived model | [failure_precedence](#failure-precedence) |
| `representation_transport` | representation_transport | partial source derived model | [representation_transport](#representation-transport) |
| `resource_cost` | resource_cost | partial source derived model | [resource_cost](#resource-cost) |

## Model text


### descriptant

#### mlab-display-format-choice

Accumulate finite maxabs/minabs and all_int; all-int branch chooses integer unless digits>15, otherwise fixed versus exponent depends on rounded digit extrema.

##### Modeling epoch — 2026-10-31

Prospective source read preceded edits. Bounded synthetic checks and selected existing safe tests exercise actual code; paired debug/release results and compiled negative-control assertions are retained externally. Frozen scenario, corpus, external measurement, full-school and training effects are unexecuted. Partial lexical syntax supplies no macro-expanded or semantic proof.

### approximant

#### Forward relation

Accumulate finite maxabs/minabs and all_int; all-int branch chooses integer unless digits>15, otherwise fixed versus exponent depends on rounded digit extrema.

##### Domain

Valid Rust value/storage invariants and available bounded resources; exact branch and effect observations only.

##### Executable approximant gap

No useful percentage-error surrogate is established for these categorical, textual or effectful observations. Supported future caps are 1%, 2%, 5%, 10%; no executable approximation or production substitution is claimed.

### invariant

#### Invariants and costs

Nonfinite strings require width at least four in integer/fixed branches; exponent width expands for large exponents.

##### Failure ordering

No Result errors; exact zero excluded from minabs update, which can remain infinity.

##### Cost

O(number of real values) scans and bounded float formatting per extrema.

### models

## Typed models — mlab-display-format-choice

Source-derived partial relations; finite checks do not prove universality.

### behavior_complement

Nonfinite elements alone exclude making all_int false; integer values with more than 15 decimal digits exclude integer format.

### reverse_reconstruction

Same RealFmt admits many value collections with equal threshold category and width; extrema and order generally unrecoverable.

### state_invariant

Nonfinite strings require width at least four in integer/fixed branches; exponent width expands for large exponents.

### failure_precedence

No Result errors; exact zero excluded from minabs update, which can remain infinity.

### representation_transport

Exponent threshold uses dmax>=prec or dmin<=-2, after round_sig; common decimal precision is max endpoint requirements.

### resource_cost

O(number of real values) scans and bounded float formatting per extrema.

### tests

#### Evidence and limitations

Parent source checks: display::tests::scalars_short, display::tests::matrix_rows. The fragment's actual statements lie in the recorded byte range; parent checks need not exercise every branch in this fragment. See ../tests.md for source-level control and limitations.

AST projection generated twice to fresh files and compared byte-for-byte. Runtime evidence is finite and does not establish every branch, allocation failure, backend implementation or effect path. No optimization or speed claim.