Log scales = animation scales?

[David Bovill]

Thanks Mark... now to mash up the two scripts!

On 15/07/07, Mark Smith <mark at maseurope.net> wrote:
>
> David, better mathematicians than I could probably do this better,
> but this does what I think you're after:
>
> function logScale pDistance, pNumSteps
>    put pDistance / pNumSteps into stepSize
>    put 0 into tNum
>    put 0 into seriesA
>    repeat while tNum < pDistance
>      add stepSize to tNum
>      put comma & LN(tNum) after seriesA
>    end repeat
>
>    put pDistance / item -1 of seriesA into tMapValue
>    repeat for each item L in seriesA
>      put round(pDistance - (L * tMapValue)) & comma before seriesB
>    end repeat
>    delete item 1 of seriesB -- first item will be 0, discard
>
>    return  char 1 to -2 of seriesB
> end logScale
>
> put logScale(72, 10) produces this series:
>
> 2,4,6,9,12,15,20,27,39,72
>
> Best,
>
>
> Mark
>
>
>
> On 15 Jul 2007, at 02:27, David Bovill wrote:
>
> > I am playing with some animation "zoom" effects - and have a maths
> > question.
> > Say I want to scale something between 1 and 72 in10 steps - so i
> > need to
> > generate a series of numbers between 1 and 72. Now i could just say
> > each
> > step is 7 - but more natural would be for it to start slower and
> > get faster
> > so i want an exponential series with 10 steps or something like
> > that :)
> >
> > Are there any ideas for natural type movements - straight acceleration
> > (maybe with ease in and / or ease out)?
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