def pi(N): ' 计算pi的值 '
# step 1: 创建一个奇数序列: 1, 3, 5, 7, 9, ... ns = 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, ns) # step 3: 添加正负符号并用4除: 4/1, -4/3, 4/5, -4/7, 4/9, ... chushu = itertools.cycle((4, -4)) nt = [] for i in ns: nt.append(next(chushu)/i) # step 4: 求和: return sum(nt)
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蓝萨节
def pi(N): ' 计算pi的值 '