数学-映射数字 [英] Math - mapping numbers

问题描述

如何在a和b之间线性映射数字以在c和d之间转换.

How do I map numbers, linearly, between a and b to go between c and d.

也就是说，我希望2到6之间的数字映射到10到20之间的数字...但是我需要广义的情况.

That is, I want numbers between 2 and 6 to map to numbers between 10 and 20... but I need the generalized case.

我的大脑被炸了.

推荐答案

如果您的数字X介于A和B之间，并且您希望Y介于C和D之间，则可以应用以下线性变换:

If your number X falls between A and B, and you would like Y to fall between C and D, you can apply the following linear transform:

Y = (X-A)/(B-A) * (D-C) + C

这应该会给您想要的，尽管您的问题有点模棱两可，因为您还可以反向绘制区间.只要当心被零除，就可以了.

That should give you what you want, although your question is a little ambiguous, since you could also map the interval in the reverse direction. Just watch out for division by zero and you should be OK.

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