问题描述
是否有确定的角度的斜边一个聪明/高效的算法(即的sqrt(A²+称b²)
),使用无硬件的嵌入式处理器上定点数学乘?
Is there a clever/efficient algorithm for determining the hypotenuse of an angle (i.e. sqrt(a² + b²)
), using fixed point math on an embedded processor without hardware multiply?
推荐答案
除非你这样做是在> 1kHz时,在MCU甚至成倍没有硬件 MUL
ISN Ť可怕。更糟糕的是多少开方
。我会尝试修改我的应用程序,因此并不需要在所有的计算。
Unless you're doing this at >1kHz, multiply even on a MCU without hardware MUL
isn't terrible. What's much worse is the sqrt
. I would try to modify my application so it doesn't need to calculate it at all.
标准库很可能是最好的,如果你真的需要它,但你可以看看使用牛顿方法作为可能的选择。这将需要数乘法/除法周期不过来执行。
Standard libraries would probably be best if you actually need it, but you could look at using Newton's method as a possible alternative. It would require several multiply/divide cycles to perform, however.
- AVR怪胎发布
- Atmel App note AVR200: Multiply and Divide Routines (pdf)
- This
sqrt
function on AVR Freaks forum - Another AVR Freaks post
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