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

The groupant beside onto/src/hs.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:** [`onto/src/hs.rs`](https://github.com/ElamurAI/mova-free/blob/main/onto/src/hs.rs)
- **source SHA-256:** `92e3961f025bb2d0…`
- **covers:** endpoint=x*factor; complete last interval on opposite missing side with same attr/base (bytes 13087–24748)
- **part of:** [onto-hs](https://md.groupants.elamur.ai/free/en/mova/onto/src/hs.rs.groupant/)
- **repository folder:** [`onto/src/hs.rs.groupant/thresholds.groupant`](https://github.com/ElamurAI/mova-free/tree/main/onto/src/hs.rs.groupant/thresholds.groupant)
- **repository commit:** `48f2e6f74146`

> **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) |
| **cost** | partial | [cost](#cost) |
| **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) |
| `unit_relation` | unit_relation | partial source derived model | [unit_relation](#unit-relation) |
| `topology` | topology | partial source derived model | [topology](#topology) |
| `scaling_failure` | scaling_failure | partial source derived model | [scaling_failure](#scaling-failure) |
| `dimension_domain` | dimension_domain | partial source derived model | [dimension_domain](#dimension-domain) |

## Model text


### descriptant

#### onto-hs-thresholds

endpoint=x*factor; complete last interval on opposite missing side with same attr/base

##### Epoch 2026-10-31

Specialized source fragment bytes [13087,24748); shared parent AST. Excludes unrelated parent operations and added test module.

### approximant

#### Scoped forward

endpoint=x*factor; complete last interval on opposite missing side with same attr/base

##### Domain

This byte-scoped operator uses the parent valid-state domain plus the following local restrictions:

cc→m³ factor1/1000000; kg/g rescale

below(h,l)=h<l OR(h=l AND NOT both inclusive)

Rat::mul error drops hit, not float approximation

overlaps requires caller equal attr/base/basis

No executable percentage surrogate established.

### invariant

#### Local observations

No comparator excludes hit; touching open endpoint excludes overlap

cc→m³ factor1/1000000; kg/g rescale

below(h,l)=h<l OR(h=l AND NOT both inclusive)

Rat::mul error drops hit, not float approximation

overlaps requires caller equal attr/base/basis

### cost

#### Scoped cost

O(T²) nearest-attribute/unit scans; rational arithmetic cost depends on integer width.

Restriction to this operator's traversed inputs; parent total is not charged to every fragment. No standalone measurement.

### composition

#### Parent join

thresholds supplies the parent relation: endpoint=x*factor; complete last interval on opposite missing side with same attr/base

Output compatibility is conditional on the local domain and earlier-branch exclusions. Other parent branches are outside this fragment.

### models

### behavior_complement

No comparator excludes hit; touching open endpoint excludes overlap

### reverse_reconstruction

Any token/comparator/unit sequence normalizing to same endpoint pair is compatible

### unit_relation

cc→m³ factor1/1000000; kg/g rescale

### topology

below(h,l)=h<l OR(h=l AND NOT both inclusive)

### scaling_failure

Rat::mul error drops hit, not float approximation

### dimension_domain

overlaps requires caller equal attr/base/basis


### tests

#### Evidence

Parent tests.md identifies selected actual-code checks. Fragment is a source-scoped partial model; parent finite fixtures do not establish exhaustive branch coverage or every local equation.