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