integer distribution help

**BakerCo** · February 23rd 2011, 01:28 PM

not sure if this is the right place to put this however my problem is as follows.

I have n points
and a space with n size in which to distribute my points.

example 100 points

and a space of 800 pixels

start point would be 0 and end point would be 800 in our space available
how do I distribute the remaining 98 points evenly across the available space.

What area of math is this in so that I may do the proper research.

Thanks for any help in advance.

`Baker

**e^(i*pi)** · February 23rd 2011, 01:30 PM

It is the space left divided by the points you need to distribute evenly

In your case each would be $\dfrac{800-0}{98}$ apart.

In general it is $\dfrac{s_f - s_i}{n}$ where $s_f$ is the end point, $s_i$ the start point and $n$ the number of dots

**BakerCo** · February 23rd 2011, 01:42 PM

wow that was crazy fast. perhaps you could elaborate on another issue for me say the num points was greater than the available space. I would then want to scale the shown points.

example if every 10 points had a different color when scaled then every 100 or 20 or whatever amount would be colored different. how would i determine the scale factor.

I hope this makes sense.

thanks again in advance
`Baker

**e^(i*pi)** · February 23rd 2011, 01:53 PM

$\dfrac{s_f - s_i}{n} \times \dfrac{a}{s_f-s_i} = \dfrac{a}{n}$

Where $a$ is the new distance

edit: I should point out the scale factor is given by the new length divided by the old length so your scale factor is $\dfrac{a}{s_f-s_i}$

**BakerCo** · February 23rd 2011, 02:19 PM

I am not sure what you mean by new distance... if there are more points than can be displayed I would like to draw some main grid points.
Essentially having the same number of points displayed but the line would still represent the same num points 0-1000 for example and our available space would stay the same. like our previous example 0-800 is available space our num points is 1000. however we can only display a maximum of 800 points how do i determine these point while still representing the entire list 0-1000 points.

I really appreciate your help btw.
`Baker

**BakerCo** · February 26th 2011, 10:02 AM

I am still having trouble with this problem, because I am using an integer based system I cannot use precision numbers to calc these new positions. I usually end up with a number too high or too low of the last point. usually a remainder of + or - 40 units.

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