Calculate the Centroid of a Set of Vectors

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  "name": "Calculate the Centroid of a Set of Vectors",
  "tags": [],
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      "parameters": {
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      "notesInFlow": true,
      "typeVersion": 2
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            {
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              "name": "vectors",
              "type": "array",
              "value": "={{ $json.query.vectors }}"
            }
          ]
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      "typeVersion": 3.4
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        "jsCode": "const input = items[0].json;
const vectors = input.vectors;

if (!Array.isArray(vectors) || vectors.length === 0) {
  return [{ json: { error: \"Invalid input: Expected an array of vectors.\" } }];
}

const dimension = vectors[0].length;
if (!vectors.every(v => v.length === dimension)) {
  return [{ json: { error: \"Vectors have inconsistent dimensions.\" } }];
}

const centroid = new Array(dimension).fill(0);
vectors.forEach(vector => {
  vector.forEach((val, index) => {
    centroid[index] += val;
  });
});

for (let i = 0; i < dimension; i++) {
  centroid[i] /= vectors.length;
}

return [{ json: { centroid } }];"
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      "name": "Return Centroid Response",
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        "color": 3,
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        "content": "📌 **Description:**  
This node extracts the `vectors` array from the **GET request** and converts it into a properly formatted array for processing.  
- **Ensures `vectors` is a valid array.**  
- **If the parameter is missing, it may generate an error.**  

🔹 **Expected Output Example:**
```json
{
  \"vectors\": [[2,3,4],[4,5,6],[6,7,8]]
}
```
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        "content": "📌 **Description:**  
This node performs **vector validation** and **centroid computation**.  
- **Validation:** Ensures all vectors have the same number of dimensions.  
- **Computation:** Averages each dimension to determine the centroid.  
- **If validation fails:** Returns an error message indicating inconsistent dimensions.  

🔹 **Successful Output Example:**
```json
{
  \"centroid\": [4,5,6]
}
```
🔹 **Error Output Example:**
```json
{
  \"error\": \"Vectors have inconsistent dimensions.\"
}
```
"
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      "typeVersion": 1
    },
    {
      "id": "e0ac1c4d-0435-44d1-ba87-0cfc9dea207b",
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        "width": 680,
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        "content": "📌 **Description:**  
This node sends the **final response** back to the client that made the request.  
- **If the computation is successful**, it returns the centroid.  
- **If an error occurs**, it returns a descriptive error message.  

🔹 **Example Response:**
```json
{
  \"centroid\": [4, 5, 6]
}
```
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        "content": "📌 **Description:**  
This node acts as the **entry point** for the workflow, receiving a **GET request** containing an array of vectors in the `vectors` parameter.  
- **Expected Input:** `vectors` parameter in JSON format.  
- **Example Request:**  
  ```plaintext
  https://actions.singular-innovation.com/webhook-test/centroid?vectors=[[2,3,4],[4,5,6],[6,7,8]]
  ```
- **Output:** Passes the received data to the next node for processing.
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