import itertools def pi(N): ' 计算pi的值 ' # step 1: 创建一个奇数序列: 1, 3, 5, 7, 9, ... natuals = itertools.count(1,2) # step 2: 取该序列的前N项: 1, 3, 5, 7, 9, ..., 2*N-1. ns = itertools.takewhile(lambda x : x <= 2 * N - 1 , natuals) # step 3: 添加正负符号并用4除: 4/1, -4/3, 4/5, -4/7, 4/9, ... # step 4: 求和: sum = 0 n = 1 for i in ns: # print(i) if n % 2!= 0: sum = sum + 4 / i n += 1 else : sum = sum - 4 / i n += 1 return sum
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