fibonacci.js

// 递归方法
function fibonacci(n) {
  if (n < 1) return 0;
  if (n <= 2) return 1;
  return fibonacci(n - 1) + fibonacci(n - 2);
}

// 迭代方法
function fibonacciIterative(n) {
  if (n < 1) return 0;
  let fibNMinus2 = 0
  let fibNMinus1 = 1
  let fibN = n

  for (let i = 2; i <= n; i++) {
    fibN = fibNMinus1 + fibNMinus2
    fibNMinus2 = fibNMinus1
    fibNMinus1 = fibN
  }

  return fibN
}

// 记忆化
function fibonacciMemoization(n) {
  if (n < 1) return 0;
  const memo = [0, 1]
  const fibonacciMem = num => {
    if (memo[num] != null) return memo[num];
    return (memo[num] = fibonacciMem(num - 1) + fibonacciMem(num - 2));
  }

  return fibonacciMem(n);
}

// test
console.log(fibonacci(10));

console.log(fibonacciIterative(10));

console.log(fibonacciMemoization(10));