Manhattan (L1) distance API

Returns the L1 / taxicab distance (sum of absolute coordinate differences) between two vectors. Answers 'What is the Manhattan distance between these vectors?', 'What is the L1 norm of the difference?'.

Price$0.01per request

MethodPOST

Route/v1/retrieval/manhattan-distance

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

manhattanl1taxicabdistancevectormetricretrievalrag

API URLhttps://x402.hexl.dev/v1/retrieval/manhattan-distance

Integration docs

Example request

{
  "a": [
    1,
    2
  ],
  "b": [
    4,
    6
  ]
}

Example response

{
  "manhattanDistance": 7,
  "dimensions": 2,
  "formula": "sum(|a_i - b_i|)"
}

Input schema

{
  "type": "object",
  "required": [
    "a",
    "b"
  ],
  "properties": {
    "a": {
      "type": "array",
      "items": {
        "type": "number"
      }
    },
    "b": {
      "type": "array",
      "items": {
        "type": "number"
      }
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}