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/** * Mathematical utility functions for MCP Sandbox demo */ /** * Calculate the area of a circle * @param radius The radius of the circle */ function circleArea(radius = 1) { if (radius < 0) { throw new Error('Radius cannot be negative'); } return Math.PI * radius * radius; } /** * Generate fibonacci sequence up to n numbers * @param count Number of fibonacci numbers to generate */ function fibonacci(count = 10) { if (count < 1) { return []; } const seq = [0, 1]; for (let i = 2; i < count; i++) { seq[i] = seq[i - 1] + seq[i - 2]; } return seq.slice(0, count); } /** * Calculate compound interest * @param principal Initial investment amount * @param rate Annual interest rate (as decimal) * @param time Time period in years * @param compound Number of times interest compounds per year */ function compoundInterest(principal, rate, time, compound = 1) { if (principal < 0 || rate < 0 || time < 0 || compound < 1) { throw new Error('Invalid input parameters'); } return principal * Math.pow(1 + rate / compound, compound * time); } /** * Check if a number is prime * @param num The number to check */ function isPrime(num = 2) { if (num < 2) return false; if (num === 2) return true; if (num % 2 === 0) return false; for (let i = 3; i <= Math.sqrt(num); i += 2) { if (num % i === 0) return false; } return true; } /** * Convert degrees to radians * @param degrees Angle in degrees */ function degreesToRadians(degrees = 0) { return degrees * (Math.PI / 180); } /** * Calculate the factorial of a number * @param n The number to calculate factorial for */ function factorial(n = 5) { if (n < 0) throw new Error('Factorial not defined for negative numbers'); if (n === 0 || n === 1) return 1; return n * factorial(n - 1); } module.exports = { circleArea, fibonacci, compoundInterest, isPrime, degreesToRadians, factorial, };

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