Math & Numbers

Set Operations Calculator (Union/Intersection/Difference)

Union, intersection, difference, symmetric difference, and Cartesian product of two comma-separated sets, with cardinalities and capped pair display.

text· Text resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/set-operations-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"setA":"1, 2, 3, 4","setB":"3, 4, 5, 6","operation":"symmetric"}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/set-operations-calculator

Parameters

Name	Type	Required	Description
setA	text	Yes	Elements of A as comma-separated text; comparison is case-sensitive and duplicates collapse.
setB	text	Yes	Elements of B as comma-separated text.
operation	select	Yes	—

Response format

Text result

JSON

{
  "result": "Processed text content",
  "error": "Error message (optional)",
  "message": "Notification message (optional)",
  "metadata": {
    "key": "value"
  }
}

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-set-operations-calculator": {
      "name": "set-operations-calculator",
      "description": "Union, intersection, difference, symmetric difference, and Cartesian product of two comma-separated sets, with cardinalities and capped pair display.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=set-operations-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "set-operations-calculator",
    "arguments": {
  "setA": "1, 2, 3, 4",
  "setB": "3, 4, 5, 6",
  "operation": "symmetric"
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

Browse tools Open tool

Name

Type

Required

Description

setA

text

Yes

Elements of A as comma-separated text; comparison is case-sensitive and duplicates collapse.

setB

text

Yes

Elements of B as comma-separated text.

operation

select

Yes

—

{ "mcpServers": { "elysiatools-set-operations-calculator": { "name": "set-operations-calculator", "description": "Union, intersection, difference, symmetric difference, and Cartesian product of two comma-separated sets, with cardinalities and capped pair display.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=set-operations-calculator", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "set-operations-calculator", "arguments": { "setA": "1, 2, 3, 4", "setB": "3, 4, 5, 6", "operation": "symmetric" } } }