MCP Calc Tools

Instructions

Implementation Reference

• index.js:19-41 (handler)

  Core implementation of the integral computation logic, handling basic polynomials and predefined integration rules for common functions.

  const integral = (expr, variable = 'x') => {
    try {
      // For basic polynomials
      const powerMatch = expr.match(new RegExp(`${variable}\\^(\\d+)`));
      if (powerMatch) {
        const n = parseInt(powerMatch[1]);
        return `${variable}^${n + 1}/${n + 1}`;
      }
      
      // For basic functions
      const rules = {
        'e^x': 'e^x',
        '1/x': `ln|${variable}|`,
        [`sin(${variable})`]: `-cos(${variable})`,
        [`cos(${variable})`]: `sin(${variable})`,
        'x': 'x^2/2'
      };
      
      return rules[expr] || 'Cannot compute integral';
    } catch (e) {
      return `Error: ${e.message}`;
    }
  };

• index.js:97-104 (schema)

  Tool schema definition including input parameters (expression and optional variable) and string output schema.

    name: 'integral',
    description: 'Calculate the indefinite integral of a mathematical expression',
    inputSchema: z.object({
      expression: z.string().describe('Mathematical expression (e.g., "x^2", "e^x", "sin(x)")'),
      variable: z.string().optional().describe('Variable to integrate with respect to (default: x)')
    }),
    outputSchema: z.string(),
  },

• index.js:95-108 (registration)

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

  ai.defineTool(
    {
      name: 'integral',
      description: 'Calculate the indefinite integral of a mathematical expression',
      inputSchema: z.object({
        expression: z.string().describe('Mathematical expression (e.g., "x^2", "e^x", "sin(x)")'),
        variable: z.string().optional().describe('Variable to integrate with respect to (default: x)')
      }),
      outputSchema: z.string(),
    },
    async ({ expression, variable = 'x' }) => {
      return integral(expression, variable);
    }
  );