Ralph:
Although several persons have responded... most far above my "pay-scale" ...
Your mention of the audio taper rang bell for me. In the process of simulating
an analog audio potentiometer using a digital one... I needed to find a formula
for an inverse audio taper... and it DID take a math professor to finally
provide a solution:
kx - 1 + sqrt((1 - kx)^2 + 4kx^2)
y = ---------------------------------
2kx
Now referencing the potentiometer "model"...
"x" is the amount of "rotation" .. from near zero (since dividing by zero is
verboten) to 100%.. i.e. 360 degrees (which a real analog pot never actually
achieves.
"k" is the "weight" factor ... increasing "k" increases the "severity" of the
taper ... more or less flattening the higher range which, in turn, causing the
"higher" rotation values to have less differentiated output values
"y" is the output ... in the case of a pot, the resistance
When I look at the graph of this function using a "k" value of 5 and above, I
*thinK* it starts to simulate your desired mapping.
Hope this helps ... quadratic formulae are NOT my thing. Your mission is to
fit this formula into you app and data set
Cheers!
Douglas Ruisaard
Trilogy Software
(250) 573-3935
>
> Message: 12
> Date: Sun, 4 Aug 2019 14:49:09 -0400
> From: "Ralph DiMola" <[email protected]>
> To: "'How to use LiveCode'" <[email protected]>
> Subject: [OT] Weighted distribution of Numbers
> Message-ID: <003701d54af5$4f8cd410$eea67c30$@net>
> Content-Type: text/plain; charset="us-ascii"
>
> I have a set of raw numbers(6,000 of them from 0 to 800 or so). It was easy
> to normalize these numbers from 0 to 100. But as I look at the results I see
> that there is one at to top(100) and a few in the 90s and many more in the
> 70s and 80s. I need to make these numbers more evenly distributed and
> weighted towards the top(so the top few are 100) based on the current
> distribution of the raw numbers. I'm not a math whiz and not afraid to admit
> that going beyond linier equations is way over my head. From some searches I
> see the some sort of nonlinear regression is in order(I think)? Or a apply a
> log (like an audio log taper of a potentiometer)? I don't know... Can anyone
> point me in the in the right direction?
>
> Thanks!
>
> Ralph DiMola
> IT Director
> Evergreen Information Services
> [email protected]
>
>
>
>
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