# H-Impairment Index (Hack) HII Status: LIVE Price: $0.005 USDC `GET /api/calc/hii` HTML: https://magentlab.com/docs/hii Markdown: https://magentlab.com/docs/hii.md Not a medical device. Not a diagnosis, dose, or listing recommendation. ## What it computes Return the Hack 2014 H-Impairment Index (sum of completed 0-4 task scores divided by 4 times the number of tasks completed). ## When to use When an agent has already assigned Hack 2014 bedside-task integers and needs the published current HII, not a serial decline, discharge order, or legal sobriety decision. ## When not to use - Not a medical device. Not a diagnosis, discharge order, or legal sobriety test. - Each of the five bedside tasks is a caller-assigned integer 0-4. magent does not examine the patient. - Omitted tasks (not attempted) are excluded from both the numerator and the denominator. The denominator is 4 times the number of completed tasks, not always 20. - Returns the current index only. Serial decline over time is not modeled. - Does not take or echo a blood alcohol concentration. - Hack 2014 published the index arithmetic only. magent does not apply later performance papers or invent impairment bands. ## Formula ``` HII = (gross_motor + mentation_speech + tracing_curve + nystagmus + finger_to_nose) / (4 × tasks_completed); each completed task a caller-assigned integer 0-4; omitted tasks excluded from numerator and denominator; max denominator 20 if all five completed; range 0-1; current index only ``` ## Citation [The H-Impairment Index (HII): a standardized assessment of alcohol-induced impairment in the Emergency Department](https://doi.org/10.3109/00952990.2013.865034) Hack JB, Goldlust EJ, Gibbs F, Zink BJ Am J Drug Alcohol Abuse. 2014;40(2):111-117 DOI: [10.3109/00952990.2013.865034](https://doi.org/10.3109/00952990.2013.865034) ## Worked example ### All five tasks 0 Given: `finger_to_nose=0, gross_motor=0, mentation_speech=0, nystagmus=0, tracing_curve=0` 1. gross_motor 0 + mentation_speech 0 + tracing_curve 0 + nystagmus 0 + finger_to_nose 0 = 0 2. HII = 0 / (4 × 5) = 0.0 ### Two completed tasks of 2 Given: `gross_motor=2, mentation_speech=2` 1. completed sum = 2 + 2 = 4 2. HII = 4 / (4 × 2) = 0.5 (denominator is 8, not 20) ### All five tasks 4 Given: `finger_to_nose=4, gross_motor=4, mentation_speech=4, nystagmus=4, tracing_curve=4` 1. gross_motor 4 + mentation_speech 4 + tracing_curve 4 + nystagmus 4 + finger_to_nose 4 = 20 2. HII = 20 / (4 × 5) = 1.0 ## Also searched as - H-Impairment Index - Hack Impairment Index - HII score - alcohol impairment index - Hack 2014 HII - ED alcohol impairment ## Parameters - `gross_motor` (integer, optional): Caller-assigned Hack 2014 HII gross motor function (integer 0-4). Omit when that task was not attempted. magent does not examine the patient. - `mentation_speech` (integer, optional): Caller-assigned Hack 2014 HII mentation and speech (integer 0-4). Omit when that task was not attempted. magent does not examine the patient. - `tracing_curve` (integer, optional): Caller-assigned Hack 2014 HII tracing curve (integer 0-4). Omit when that task was not attempted. magent does not examine the patient. - `nystagmus` (integer, optional): Caller-assigned Hack 2014 HII nystagmus (integer 0-4). Omit when that task was not attempted. magent does not examine the patient. - `finger_to_nose` (integer, optional): Caller-assigned Hack 2014 HII finger-to-nose (integer 0-4). Omit when that task was not attempted. magent does not examine the patient. ## Bulk (POST) POST the same path with a JSON items array. The first item is the GET unit; each additional item is $0.002. Invalid items return HTTP 400 before settlement. Method: `POST /api/calc/hii` Max items: 25 Price: unit_amount + extra_item_amount * (n - 1) (unit 5000 atomic, extra 2000 atomic) Status: PREVIEW - 1 to 25 items. Each item uses the same keys as the GET query parameters. - POST of 1 item costs the same as GET. Lists longer than 25: chunk into multiple POSTs. Extra items still execute; do not pad dummy rows. - The first invalid item fails the whole request (index in the 400 JSON). You are not charged. - HTTP 200 is {count, path, items}. Each items[i] is the GET 200 body for that row. - Catalog misses (empty matches, found=false) stay paid 200s inside that slot. - x402 resource URL is this path plus n and body_sha256. Browsers that prefer text/html get the same paywall as GET; Pay retries POST with the same items. Example request: ```json { "items": [ { "finger_to_nose": "0", "gross_motor": "0", "mentation_speech": "0", "nystagmus": "0", "tracing_curve": "0" }, { "finger_to_nose": "0", "gross_motor": "0", "mentation_speech": "0", "nystagmus": "0", "tracing_curve": "0" } ] } ``` Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/hii Example 200: ```json { "count": 2, "path": "/api/calc/hii", "items": [ { "components": [ { "value": 0, "factor": "gross_motor", "points": 0, "present": true }, { "value": 0, "factor": "mentation_speech", "points": 0, "present": true }, { "value": 0, "factor": "tracing_curve", "points": 0, "present": true }, { "value": 0, "factor": "nystagmus", "points": 0, "present": true }, { "value": 0, "factor": "finger_to_nose", "points": 0, "present": true } ], "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.", "citation": { "authors": "Hack JB, Goldlust EJ, Gibbs F, Zink BJ", "doi": "10.3109/00952990.2013.865034", "id": "hack-2014", "pmid": "24555813", "source": "Am J Drug Alcohol Abuse. 2014;40(2):111-117", "title": "The H-Impairment Index (HII): a standardized assessment of alcohol-induced impairment in the Emergency Department" }, "formula": "hii", "formula_expression": "HII = (gross_motor + mentation_speech + tracing_curve + nystagmus + finger_to_nose) / (4 × tasks_completed); each completed task a caller-assigned integer 0-4; omitted tasks excluded from numerator and denominator; max denominator 20 if all five completed; range 0-1; current index only", "max_score": 1, "score": 0.0, "max_points": 20, "task_sum": 0, "tasks_completed": 5 }, { "components": [ { "value": 0, "factor": "gross_motor", "points": 0, "present": true }, { "value": 0, "factor": "mentation_speech", "points": 0, "present": true }, { "value": 0, "factor": "tracing_curve", "points": 0, "present": true }, { "value": 0, "factor": "nystagmus", "points": 0, "present": true }, { "value": 0, "factor": "finger_to_nose", "points": 0, "present": true } ], "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.", "citation": { "authors": "Hack JB, Goldlust EJ, Gibbs F, Zink BJ", "doi": "10.3109/00952990.2013.865034", "id": "hack-2014", "pmid": "24555813", "source": "Am J Drug Alcohol Abuse. 2014;40(2):111-117", "title": "The H-Impairment Index (HII): a standardized assessment of alcohol-induced impairment in the Emergency Department" }, "formula": "hii", "formula_expression": "HII = (gross_motor + mentation_speech + tracing_curve + nystagmus + finger_to_nose) / (4 × tasks_completed); each completed task a caller-assigned integer 0-4; omitted tasks excluded from numerator and denominator; max denominator 20 if all five completed; range 0-1; current index only", "max_score": 1, "score": 0.0, "max_points": 20, "task_sum": 0, "tasks_completed": 5 } ] } ``` ## Response fields - `formula` (string): hii - `formula_expression` (string): Exact expression used - `score` (number): Hack 2014 HII (completed sum / (4 × tasks completed)); range 0-1 - `max_score` (integer): Always 1 (published HII ceiling) - `task_sum` (integer): Sum of completed caller-assigned task scores - `tasks_completed` (integer): Count of tasks that were attempted (1-5) - `max_points` (integer): 4 × tasks_completed (20 if all five completed) - `components` (array): Per-task points; omitted tasks have present false and do not enter the index - `citation` (object): Hack et al. Am J Drug Alcohol Abuse 2014 citation - `disclaimer` (string): Not-a-device notice ## Example JSON Frozen fixture. Not a live lookup. ```json { "components": [ { "value": 0, "factor": "gross_motor", "points": 0, "present": true }, { "value": 0, "factor": "mentation_speech", "points": 0, "present": true }, { "value": 0, "factor": "tracing_curve", "points": 0, "present": true }, { "value": 0, "factor": "nystagmus", "points": 0, "present": true }, { "value": 0, "factor": "finger_to_nose", "points": 0, "present": true } ], "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.", "citation": { "authors": "Hack JB, Goldlust EJ, Gibbs F, Zink BJ", "doi": "10.3109/00952990.2013.865034", "id": "hack-2014", "pmid": "24555813", "source": "Am J Drug Alcohol Abuse. 2014;40(2):111-117", "title": "The H-Impairment Index (HII): a standardized assessment of alcohol-induced impairment in the Emergency Department" }, "formula": "hii", "formula_expression": "HII = (gross_motor + mentation_speech + tracing_curve + nystagmus + finger_to_nose) / (4 × tasks_completed); each completed task a caller-assigned integer 0-4; omitted tasks excluded from numerator and denominator; max denominator 20 if all five completed; range 0-1; current index only", "max_score": 1, "score": 0.0, "max_points": 20, "task_sum": 0, "tasks_completed": 5 } ``` ## Errors - HTTP 400 `invalid_hii_task`: each Hack 2014 HII task must be an integer from 0 to 4 (or omitted when that task was not attempted). Returned before settlement; you are not charged. - HTTP 400 `invalid_flag`: boolean clinical flags must be true or false Returned before settlement; you are not charged. - HTTP 400 `invalid_items`: POST body must be a JSON object with only an items array Returned before settlement; you are not charged. - HTTP 400 `invalid_item_count`: items must be an array of 1 to 25 objects Returned before settlement; you are not charged. - HTTP 400 `invalid_item`: each items entry must be a JSON object Returned before settlement; you are not charged. Shared HTTP 402 and 503: https://magentlab.com/docs/payments ## Related tools - [CIWA-Ar](https://magentlab.com/docs/ciwa-ar) — Sum the ten Sullivan 1989 CIWA-Ar items (nine caller-assigned 0-7 plus orientation 0-4) and return the published total (max 67). - [CAGE](https://magentlab.com/docs/cage) — Sum the four Ewing 1984 CAGE items and return whether two or more answers are affirmative. ## Payment Unpaid requests return HTTP 402 even if query parameters or POST items are missing or invalid, so CDP and agents can index the path. After a PAYMENT-SIGNATURE, invalid params return HTTP 400 JSON before settlement. magent does not charge. Fix the params, then request a new 402 quote for that complete URL. Catalog misses (empty matches, found=false) are valid paid 200s. - GET the tool with Accept: application/json (do not send Accept: text/html unless you want the human paywall). - HTTP 402 means you have not paid. Decode the base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote. - Sign accepts[0] (exact, EIP-3009) with validBefore = now + maxTimeoutSeconds (600 seconds), or accepts[1] (batch-settlement deposit/voucher) on product GET. Ping and POST {items} stay exact. Magent retries transient facilitator 429/5xx before answering. - Retry the same URL with PAYMENT-SIGNATURE (base64 JSON of accepted and payload). Magent attaches canonical extensions.bazaar on CDP verify/settle; echoing 402 bazaar is optional. - Success is HTTP 200 JSON plus PAYMENT-RESPONSE. exact settles before the tool. batch-settlement verifies (and deposit-settles) before the tool and commits the charge after HTTP 2xx. HTTP 503: retry the same PAYMENT-SIGNATURE. Mint a new exact nonce only after a new HTTP 402. - offered `exact` on eip155:8453: Fixed-price USDC on Base. The buyer authorizes the advertised amount (EIP-3009). magent settles before the tool runs (paymentFlow upfront). extra.assetTransferMethod=eip3009 extra.paymentFlow=upfront. - offered `batch-settlement` on eip155:8453: Payment-channel vouchers claimed later in batches. Exact stays accepts[0]. Same-path POST {items} is still exact. extra.assetTransferMethod=eip3009 extra.paymentFlow=authorization. - not offered `upto`: Not offered. Usage-based: buyer authorizes a ceiling, seller settles the actual amount after work. Reserved for a future metered tool. Not for current calculators or code search. Same-path POST {items} is still scheme exact: one EIP-3009 authorization for GET unit plus $0.002 per extra item. That is not x402 batch-settlement (payment channels / vouchers). Shared HTTP 402 and 503 table: https://magentlab.com/docs/payments Stdio MCP (one process per host): https://magentlab.com/docs/mcp ## Guarantees - HTTP 402 is unpaid, including a missing query. After PAYMENT-SIGNATURE, invalid parameters return HTTP 400 before settlement. You are not charged. HTTP 402 never includes the tool JSON. - exact: settlement finishes before the tool (paymentFlow upfront). batch-settlement: verify/deposit before the tool; chargedCumulativeAmount commits after HTTP 2xx. Uncertain or failed settlement fails closed (HTTP 503). Retry the same PAYMENT-SIGNATURE. - HTTP 402 is unpaid only. Do not sign a second authorization because of a 503. - Execution is timeout-bounded and concurrency-capped. - Calculator inputs are stored encrypted for allowlisted operators (Magent Console). They are not in public logs, SSH lookups, catalog, or rollups. Request logs store path without query.