MCP Calc Tools

Instructions

Implementation Reference

• index.js:368-390 (handler)

  Core handler function implementing the Laplace transform calculation using numerical integration approximating the integral from 0 to infinity.

  const laplaceTransform = (expr, t, s) => {
    try {
      const node = math.parse(expr);
      // Using numerical integration for a basic approximation
      const upperLimit = 100; // Approximation of infinity
      const steps = 1000;
      const dt = upperLimit / steps;
      let result = math.complex(0, 0);
      
      for (let i = 0; i < steps; i++) {
        const time = i * dt;
        const scope = { [t]: time };
        const ft = math.evaluate(node, scope);
        const expTerm = math.exp(math.multiply(math.complex(-s, 0), time));
        result = math.add(result, 
          math.multiply(ft, expTerm, dt));
      }
      
      return result.toString();
    } catch (e) {
      return `Error: ${e.message}`;
    }
  };

• index.js:443-450 (schema)

  Tool schema definition including name, description, input parameters (expression, timeVar, laplaceVar), and string output.

  name: 'laplace_transform',
  description: 'Calculate the Laplace transform of a function',
  inputSchema: z.object({
    expression: z.string().describe('Function of time'),
    timeVar: z.string().describe('Time variable'),
    laplaceVar: z.string().describe('Laplace variable')
  }),
  outputSchema: z.string(),

• index.js:441-455 (registration)

  Registration of the laplace_transform tool with Genkit's ai.defineTool, linking schema to the handler wrapper that calls the core laplaceTransform function.

  ai.defineTool(
    {
      name: 'laplace_transform',
      description: 'Calculate the Laplace transform of a function',
      inputSchema: z.object({
        expression: z.string().describe('Function of time'),
        timeVar: z.string().describe('Time variable'),
        laplaceVar: z.string().describe('Laplace variable')
      }),
      outputSchema: z.string(),
    },
    async ({ expression, timeVar, laplaceVar }) => {
      return laplaceTransform(expression, timeVar, laplaceVar);
    }
  );