MCP Calc Tools

Instructions

Implementation Reference

• index.js:159-172 (handler)

  The handler function implements the volume of revolution calculation around the x-axis using the disk method. It approximates the integral numerically with 1000 steps, evaluating the given expression at each point to compute pi * y^2 * dx.

  async ({ expression, start, end }) => {
    // Volume of revolution using disk method
    const steps = 1000;
    const dx = (end - start) / steps;
    let volume = 0;
    
    for (let i = 0; i < steps; i++) {
      const x = start + i * dx;
      const y = eval(expression.replace(/x/g, `(${x})`));
      volume += Math.PI * y * y * dx;
    }
    
    return volume;
  }

• index.js:152-157 (schema)

  Defines the input schema requiring a mathematical expression (string), start and end x-values (numbers), and output schema as a number representing the computed volume.

  inputSchema: z.object({
    expression: z.string(),
    start: z.number(),
    end: z.number()
  }),
  outputSchema: z.number(),

• index.js:148-173 (registration)

  Registers the 'volume' tool using ai.defineTool, including its name, description, schema, and handler function.

  ai.defineTool(
    {
      name: 'volume',
      description: 'Calculate the volume of revolution around x-axis',
      inputSchema: z.object({
        expression: z.string(),
        start: z.number(),
        end: z.number()
      }),
      outputSchema: z.number(),
    },
    async ({ expression, start, end }) => {
      // Volume of revolution using disk method
      const steps = 1000;
      const dx = (end - start) / steps;
      let volume = 0;
      
      for (let i = 0; i < steps; i++) {
        const x = start + i * dx;
        const y = eval(expression.replace(/x/g, `(${x})`));
        volume += Math.PI * y * y * dx;
      }
      
      return volume;
    }
  );