Jeff Thompson

There are two posts discussing the formula for the scale object, but none really answer the question posted.

There are 4 mandatory arguments, 5 with exponential scaling (which is why I'm interested in the formula). Given only three (a,b,c) - how does this work?

Also, what are the operators in the formula? I'm guessing:

Anyone dug in deep enough into their own scaling object?

If the formula from the reference is:
  y = b e-a log c ex log c

Where:
  y = result
  x = number to scale
  a,b,c = the "three typed in arguments"
  e = base of the natural log

My question:
There are 4 mandatory arguments, 5 with exponential scaling (which is why I'm interested in the formula).  Given only three (a,b,c) - how does this work?

Also, what are the operators in the formula?  I'm guessing:
  y = b * (e-a) * log(c) * ln(x) * log(c)

Anyone dug in deep enough into their own scaling object?


scale-formula-clarification

I found something similar elsewhere, not the Max object, but it seemed like it did the same thing, no exponential element though. So, if scale has a b c d for low/high input/output, and v is the value to scale, the formula was:

I don't know about the scaling exponent, whether it's applied after all this, or is worked into the formula somehow. And I'm not sure this is even the right formula for [scale], but it works in the patch below:

expr (exp((($f1-$f2)/($f3-$f2)-1)*$f6)-1)/(exp(-$f6)-1)*($f4-$f5)+$f5

which works like scale but has an easy logarithmic scaling, where 0 is linear.

here are my scale-objects...
the basic expr here is:
expr (exp((($f1-$f2)/($f3-$f2)-1)*$f6)-1)/(exp(-$f6)-1)*($f4-$f5)+$f5
which works like scale but has an easy logarithmic scaling, where 0 is linear.


Fantastic, thanks Klaus! Too bad your ll.og abstractions don't show up in a forum search - could have saved you the trouble...

Those are really great, and likely useful for my students as well.

Fantastic, thanks Klaus!  Too bad your ll.og abstractions don't show up in a forum search - could have saved you the trouble...

well ll.og is just one of many objects, that are included in the ppooll distribution. there is more useful stuff in the whole package ;)

thanks jeff,
well ll.og is just one of many objects, that are included in the ppooll distribution. there is more useful stuff in the whole package ;)
cheers


Scale formula clarification