Re: [sc-users] Center and deviation from lo and hi

[Uri Sala <urisala@xxxxxxxxx>]

Clear as water.  Thanks!


Nathaniel Virgo wrote:
> 
> Oops, there's a mistake there - actually
> d = hi - lo
> 
> so
> 
> c = lo/(1+lo-hi)
> 
> Nathaniel
> 
> 
> 2009/7/23 Nathaniel Virgo <nathanielvirgo@xxxxxxxxx>
> 
>> I did
>>
>> (re-write your formulae and expand out the brackets:)
>> lo = c - (c*d)
>> hi = c + d - (c*d)
>>
>> subtracting lo from hi gives
>> d = lo - hi
>>
>> we have
>> lo = c - (c*d) = c*(1-d)
>> divide by (1-d):
>> lo/(1-d) = c
>>
>> then substitute d=lo-hi into this to give
>> c = lo/(1-(lo-hi)) = lo/(1 - hi + lo)
>>
>> I hope all that's clear, let me know if not.
>>
>>
>> Nathaniel
>>
>>
>> 2009/7/23 Uri Sala <urisala@xxxxxxxxx>
>>
>>>
>>> hey, thanks a lot!
>>> I tried to solve the equations myself, to no avail. How did you solve
>>> it,
>>> what factor did you isolate?
>>>
>>>
>>>
>>> Nathaniel Virgo wrote:
>>> >
>>> > Hi Uri
>>> >
>>> > From solving your formulae as simultaneous equations it looks like
>>> > deviation = lo - hi;
>>> > center = lo/(1 - lo + hi);
>>> >
>>> > hth
>>> > Nathaniel
>>> >
>>> >
>>> > 2009/7/23 Uri Sala <urisala@xxxxxxxxx>
>>> >
>>> >> Hey
>>> >>
>>> >> I am controlling 2 variables, the center pitch and the deviation,
>>> through
>>> >> 2
>>> >> knobs. I am visualizing what this in a range slider through the
>>> following
>>> >> formula:
>>> >>
>>> >> lo = center - (center * deviation);
>>> >> hi = center + ((1 - center) * deviation);
>>> >> This means I visualize center and dev as a sort of rrand(lo,hi).
>>> >>
>>> >> Now, I would also like to control these variables through the slider,
>>> >> but
>>> >> I cannot seem to find the formula that gives me the center and the
>>> >> deviation
>>> >> knowing upper and lower limits. Any clues?
>>> >>
>>> >> Thanks
>>> >> Uri
>>> >>
>>> >
>>> >
>>>
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>>
>>
> 
> 

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