嵌入式处理器的快速避免算法? [英] Fast Hypotenuse Algorithm for Embedded Processor?
问题描述
是否有一个聪明/有效的算法用于确定角度的斜边(即 sqrt(a²+b²)
),在没有硬件的嵌入式处理器上使用固定点数学乘法?
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
除非你在> 1kHz这样做,甚至在没有硬件的MCU上乘以 MUL
并不可怕更糟的是 sqrt
。我会尝试修改我的应用程序,所以它根本不需要计算。
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.
标准库可能是最好的,如果你真的需要它,但你可以看使用牛顿法作为一种可能的替代方法。然而,需要执行多个乘法/除法周期。
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.
- Atmel应用笔记AVR200:乘法和除法例程(pdf)
- AVR Freaks论坛上的
sqrt
功能 - 另一个 AVR Freaks post
- Atmel App note AVR200: Multiply and Divide Routines (pdf)
- This
sqrt
function on AVR Freaks forum - Another AVR Freaks post
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