要避免任何数与0 相除或溢出，将所有除法转换为乘法并检查运算符号（Y2=Y1的水平线不会计入算法）
To avoid any division by zero or overflow, transform all division into multiplication and check for the sign (horizontal lines with Y2=Y1 do not count in the algorithm)
我们对到a变为1为止所经历的除法、乘法的次数以及总共经历的步数感兴趣。
We are interested in the number of divisions, multiplications, and total number of steps until a reaches 1.
八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
Octonions are indeed odd creatures. They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
Octonions are indeed odd creatures. They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
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