# Pack-years

Pack-years

Status: LIVE
Price: $0.005 USDC
`GET /api/calc/pack_years`
HTML: https://magentlab.com/docs/pack-years
Markdown: https://magentlab.com/docs/pack-years.md

Not a medical device. Not a diagnosis, dose, or listing recommendation.

## What it computes

Compute NCI pack-year smoking exposure as packs_per_day × years_smoked. Caller supplies packs per day or cigarettes per day (20 cigarettes = 1 pack) and years smoked.

## When to use

When an agent already has packs per day or cigarettes per day and years smoked and must not take a smoking history interview, invent a pack size other than 20 cigarettes, or treat the product as a lung-cancer screening order.

## When not to use

- Not a medical device. Not a lung-cancer screening order, COPD diagnosis, or sleep-apnea screen. magent does not take a smoking history interview.
- NCI pack year is packs per day times years smoked. Does not convert cigar, pipe, or other tobacco to pack-years.
- Provide packs_per_day (0-10, magent clamp) or cigarettes_per_day (0-200; 20 cigarettes = 1 pack), not both. years_smoked is 0-80 (magent clamp). NCI does not publish an input band.
- Does not return years since quit or current-versus-former status. Caller supplies the two NCI factors.

## Formula

```
pack_years = packs_per_day × years_smoked
```

## Citation

[NCI Dictionary of Cancer Terms: pack year](https://www.cancer.gov/publications/dictionaries/cancer-terms/def/pack-year)
National Cancer Institute
NCI Dictionaries
DOI: none

## Worked example

### 1 pack/day for 1 year

Given: `packs_per_day=1, years_smoked=1`

1. packs_per_day = 1
2. years_smoked = 1
3. pack_years = 1 × 1 = 1.0


### 10 cigarettes/day for 10 years

Given: `cigarettes_per_day=10, years_smoked=10`

1. packs_per_day = 10 / 20 = 0.5
2. years_smoked = 10
3. pack_years = 0.5 × 10 = 5.0


## Also searched as

- pack year
- pack-year
- smoking pack years
- cigarette pack years
- packs per day years smoked
- NCI pack year
- tobacco pack-years
- smoking exposure pack-years

## Parameters

- `packs_per_day` (number, optional): Cigarette packs smoked per day (0-10, magent clamp; NCI does not publish an input band). Provide this or cigarettes_per_day, not both. NCI: 1 pack/day for 1 year = 1 pack-year.
- `cigarettes_per_day` (number, optional): Cigarettes smoked per day (0-200, magent clamp). Converted as packs_per_day = cigarettes_per_day / 20. Provide this or packs_per_day, not both.
- `years_smoked` (number, required): Years smoked (0-80, magent clamp; NCI does not publish an input band). NCI: 2 packs/day for 0.5 year = 1 pack-year. magent does not take a smoking history interview.

## 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/pack_years`
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": [
    {
      "packs_per_day": "1",
      "years_smoked": "1"
    },
    {
      "packs_per_day": "1",
      "years_smoked": "1"
    }
  ]
}
```

Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/pack-years

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/pack_years",
  "items": [
    {
      "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": "National Cancer Institute",
        "id": "nci-pack-year",
        "source": "NCI Dictionaries",
        "title": "NCI Dictionary of Cancer Terms: pack year"
      },
      "formula": "pack_years",
      "formula_expression": "pack_years = packs_per_day × years_smoked",
      "pack_years": 1.0,
      "packs_per_day": 1.0,
      "years_smoked": 1.0
    },
    {
      "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": "National Cancer Institute",
        "id": "nci-pack-year",
        "source": "NCI Dictionaries",
        "title": "NCI Dictionary of Cancer Terms: pack year"
      },
      "formula": "pack_years",
      "formula_expression": "pack_years = packs_per_day × years_smoked",
      "pack_years": 1.0,
      "packs_per_day": 1.0,
      "years_smoked": 1.0
    }
  ]
}
```

## Response fields

- `formula` (string): pack_years
- `formula_expression` (string): Exact expression used
- `packs_per_day` (number): Packs per day used (cigarettes_per_day inputs converted /20)
- `years_smoked` (number): Years smoked used
- `pack_years` (number): NCI pack-years, 1 decimal
- `citation` (object): NCI pack-year dictionary citation
- `disclaimer` (string): Not-a-device notice

## Example JSON

Frozen fixture. Not a live lookup.

```json
{
  "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": "National Cancer Institute",
    "id": "nci-pack-year",
    "source": "NCI Dictionaries",
    "title": "NCI Dictionary of Cancer Terms: pack year"
  },
  "formula": "pack_years",
  "formula_expression": "pack_years = packs_per_day × years_smoked",
  "pack_years": 1.0,
  "packs_per_day": 1.0,
  "years_smoked": 1.0
}
```

## Errors

- HTTP 400 `invalid_pack_years`: Pack-years need packs_per_day (or cigarettes_per_day) and years_smoked as non-negative numbers. 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

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- [STOP-Bang](https://magentlab.com/docs/stop-bang) — Compute Chung 2008 Appendix 2 STOP-Bang from four STOP flags and computed BANG (BMI >35, age >50, neck >40 cm, male) and return the published 0-2 / >=3 OSA-risk band.

## 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.
