61trust / 100

Lens Mirror

by Physics Calculators in Other

x402 APIPassing, checked 4 h ago

Thin lens or mirror equation: give two of focal length, object and image distance, get the third plus magnification.

GET
https://physics-calc.x402tookit.com/lens-mirror
Price
$0.02
per call in USDC
Uptime
64.3%
last 30 days
Response time
552 ms
671 ms slowest 5%
Last check
Passed
4 h ago, next in 2 h

Run a free test callHow to call it

Reliability

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Status and outage history · Atom feed · Watch with other listings

How to call it

GET https://physics-calc.x402tookit.com/lens-mirror

Each call costs $0.02 in USDC on Polygon, paid with the request over x402.

Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.

Example request

From the listing.

GET https://physics-calc.x402tookit.com/lens-mirror?focalLength=10&objectDistance=30

Parameters

ParameterTypeRequiredDescription
focalLengthnumberNoFocal length, positive for a converging lens or concave mirror, negative for diverging or convex
imageDistancenumberNoImage distance, positive for a real image, negative for a virtual one
objectDistancenumberNoObject distance, positive in front of the lens or mirror (same length unit as the others)

Example response

The provider's example. We can't check it without paying.

{
  "asOf": "2026-10-11T08:56:12.751Z",
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "focalLength": 10,
  "imageDistance": 15,
  "imageType": "real",
  "magnification": -0.5,
  "notChecked": [
    "thick lenses, aberrations and the lens-maker's thickness (thin-lens and paraxial rays only)",
    "which physical object has the stated focal length: a mirror's focal length is half its radius of curvature",
    "…1 more"
  ],
  "objectDistance": 30,
  "orientation": "inverted",
  "powerDioptresIfMetres": 0.1,
  "reasons": [
    "1/f = 1/do + 1/di; m = -di / do. Real images (di > 0) are inverted for a single lens or mirror; virtual images are upright.",
    "A converging element makes a virtual enlarged image when the object is inside the focal length."
  ],
  "size": "reduced",
  "source": "computed locally",
  "summary": "Converging element, f = 10: object at 30 gives a real, inverted, reduced image at 15 (magnification -0.5).",
  "verdict": "REAL_IMAGE"
}

Call it from code

The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.02.

curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://physics-calc.x402tookit.com/lens-mirror?focalLength=10&objectDistance=30'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://physics-calc.x402tookit.com/lens-mirror?focalLength=10&objectDistance=30' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode
JavaScript: pay and call
// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fphysics-calc.x402tookit.com%2Flens-mirror
const res = await pay("https://physics-calc.x402tookit.com/lens-mirror?focalLength=10&objectDistance=30");
console.log(res.status, await res.text());
Python: pay and call
# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://physics-calc.x402tookit.com/lens-mirror?focalLength=10&objectDistance=30")
    print(res.status_code, res.text)

Security scan

No findings

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Recent checks

WhenResultHTTPTimePrice
4 h agoPassed402560 ms$0.02
16 h agoPassed402564 ms$0.02
2 days agoExpected HTTP 402, got 530530143 ms-
3 days agoExpected HTTP 402, got 530530136 ms-
4 days agoExpected HTTP 402, got 53053083 ms-
Show 9 older checks
5 days agoExpected HTTP 402, got 530530157 ms-
5 days agoExpected HTTP 402, got 530530144 ms-
5 days agoPassed402551 ms$0.02
5 days agoPassed402551 ms$0.02
6 days agoPassed402671 ms$0.02
6 days agoPassed402552 ms$0.02
6 days agoPassed402596 ms$0.02
6 days agoPassed402503 ms$0.02
7 days agoPassed402271 ms$0.02