将任意长度转换为-1.0到1.0之间的值? [英] Convert arbitrary length to a value between -1.0 a 1.0?

问题描述

如何将长度转换为-1.0到1.0范围内的值?

How can I convert a length into a value in the range -1.0 to 1.0?

示例:我的舞台长度为440px，并接受鼠标事件.我想在舞台中间单击，而不是X = 220的输出，我希望它是X = 0.同样，我希望真实的X = 0成为X = -1.0，真实的X = 440成为X = 1.0.

Example: my stage is 440px in length and accepts mouse events. I would like to click in the middle of the stage, and rather than an output of X = 220, I'd like it to be X = 0. Similarly, I'd like the real X = 0 to become X = -1.0 and the real X = 440 to become X = 1.0.

我没有进入舞台的权限，所以我不能简单地对它进行中心注册，这将使此过程变得更加容易.另外，不可能动态更改舞台的实际大小，因此我正在寻找一个公式，该公式将转换鼠标的舞台的真实X坐标以均匀地适应-1到1的范围.

I don't have access to the stage, so i can't simply center-register it, which would make this process a lot easier. Also, it's not possible to dynamically change the actual size of my stage, so I'm looking for a formula that will translate the mouse's real X coordinate of the stage to evenly fit within a range from -1 to 1.

推荐答案

-1 + (2/440)*x

其中x是距离

因此，归纳起来，如果最小归一化值为a而最大归一化值为b(在您的示例中为a = -1.0, b = 1.0，最大可能值为k(在您的示例中为k = 440 ):

So, to generalize it, if the minimum normalized value is a and the maximum normalized value is b (in your example a = -1.0, b = 1.0 and the maximum possible value is k (in your example k = 440):

a + x*(b-a)/k

其中x是>= 0和<= k

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