# ABC/2 ICH volume (Kothari) ABC/2 Status: LIVE Price: $0.005 USDC `GET /api/calc/abc2` HTML: https://magentlab.com/docs/abc2 Markdown: https://magentlab.com/docs/abc2.md Not a medical device. Not a diagnosis, dose, or listing recommendation. ## What it computes Compute the Kothari 1996 ABC/2 ellipsoid ICH volume as (a_cm × b_cm × c_cm) / 2 from caller-supplied diameters in centimeters. ## When to use When an agent needs the published ABC/2 volume and must not invent the ICH Score or pick A, B, or C from a scan. ## When not to use - Not a diagnosis. magent does not diagnose intracerebral hemorrhage. - Volume estimate only. This is the Kothari 1996 ABC/2 ellipsoid formula, not a volumetric segmentation. - This is not the ICH Score. - magent does not read imaging or choose A/B/C on the scan. The caller supplies a_cm, b_cm, and c_cm. ## Formula ``` volume_ml = (a_cm * b_cm * c_cm) / 2 ``` ## Citation [The ABCs of measuring intracerebral hemorrhage volumes](https://doi.org/10.1161/01.STR.27.8.1304) Kothari RU, Brott T, Broderick JP, et al. Stroke. 1996;27(8):1304-1305 DOI: [10.1161/01.STR.27.8.1304](https://doi.org/10.1161/01.STR.27.8.1304) ## Worked example ### 2 cm cube Given: `a_cm=2, b_cm=2, c_cm=2` 1. volume_ml = (2 × 2 × 2) / 2 = 4.0 ### Asymmetric 6 × 4 × 3 cm Given: `a_cm=6, b_cm=4, c_cm=3` 1. volume_ml = (6 × 4 × 3) / 2 = 36.0 ## Also searched as - ABC/2 - ABC2 volume - Kothari ABC/2 - ICH volume ABC/2 - hemorrhage volume ABC/2 - ABC over 2 ## Parameters - `a_cm` (number, required): Largest diameter A in cm (0.1-20). Caller-assigned; magent does not read a scan. - `b_cm` (number, required): Largest diameter B perpendicular to A, in cm (0.1-20). Caller-assigned. - `c_cm` (number, required): C in cm (0.1-20): number of slices times slice thickness. Caller-assigned. ## 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/abc2` 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": [ { "a_cm": "2", "b_cm": "2", "c_cm": "2" }, { "a_cm": "2", "b_cm": "2", "c_cm": "2" } ] } ``` Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/abc2 Example 200: ```json { "count": 2, "path": "/api/calc/abc2", "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": "Kothari RU, Brott T, Broderick JP, et al.", "doi": "10.1161/01.STR.27.8.1304", "id": "kothari-1996", "source": "Stroke. 1996;27(8):1304-1305", "title": "The ABCs of measuring intracerebral hemorrhage volumes" }, "formula": "abc2", "formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2", "a_cm": 2.0, "b_cm": 2.0, "c_cm": 2.0, "volume_ml": 4.0 }, { "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": "Kothari RU, Brott T, Broderick JP, et al.", "doi": "10.1161/01.STR.27.8.1304", "id": "kothari-1996", "source": "Stroke. 1996;27(8):1304-1305", "title": "The ABCs of measuring intracerebral hemorrhage volumes" }, "formula": "abc2", "formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2", "a_cm": 2.0, "b_cm": 2.0, "c_cm": 2.0, "volume_ml": 4.0 } ] } ``` ## Response fields - `formula` (string): abc2 - `formula_expression` (string): Exact expression used - `a_cm` (number): Largest diameter A used, cm - `b_cm` (number): Perpendicular diameter B used, cm - `c_cm` (number): Slice count times thickness C used, cm - `volume_ml` (number): ABC/2 volume in mL, 1 decimal - `citation` (object): Kothari 1996 Stroke 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": "Kothari RU, Brott T, Broderick JP, et al.", "doi": "10.1161/01.STR.27.8.1304", "id": "kothari-1996", "source": "Stroke. 1996;27(8):1304-1305", "title": "The ABCs of measuring intracerebral hemorrhage volumes" }, "formula": "abc2", "formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2", "a_cm": 2.0, "b_cm": 2.0, "c_cm": 2.0, "volume_ml": 4.0 } ``` ## Errors - HTTP 400 `invalid_abc2_dimension`: a_cm, b_cm, and c_cm must each be a number from 0.1 to 20. 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 - [ICH Score](https://magentlab.com/docs/ich-score) — Compute the Hemphill 2001 ICH Score from caller-assigned GCS, age, infratentorial origin, ICH volume, and IVH. ## Payment Required query parameters must be present and valid. 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 EIP-3009 (scheme exact, assetTransferMethod eip3009) with validBefore = now + accepts[0].maxTimeoutSeconds (600 seconds). That window starts when you sign and must cover wallet confirmation plus CDP verify and settle. Magent retries transient facilitator 429/5xx before answering. Do not send upto or batch-settlement payloads; magent does not offer those schemes. - Retry the same URL with PAYMENT-SIGNATURE (base64 JSON echoing accepted, payload, and extensions when present). - Success is HTTP 200 JSON plus PAYMENT-RESPONSE. Settlement happens before the tool runs. HTTP 503 settlement_uncertain or settle_failed: retry the same PAYMENT-SIGNATURE. Mint a new 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. - 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. - not offered `batch-settlement`: Not offered. Payment-channel vouchers claimed later in batches. Not the same as POST {items} bulk (that is still exact). 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 - Invalid query parameters return HTTP 400 before settlement. You are not charged. - Settlement finishes before the tool executes (paymentFlow upfront). 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.