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POHow-to: Find a good mathematical algorithm to distribute measuring points over time?
 

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  1. POHow-to: Find a good mathematical algorithm to distribute measuring points over time?
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    <p>I'm currently implementing a software that measures certain values over time. The user may choose to measure the value 100 times over a duration of 28 days. (Just to give an example)</p> <p>Linear distribution is not a problem, but I am currently trying to get a logarithmical distribution of the points over the time span. </p> <p>The straight-forward implementation would be to iterate over the points and thus I'll need an exponential function. (I've gotten this far!)</p> <p>My current algorithm (C#) is as follows:</p> <pre><code>long tRelativeLocation = 0; double tValue; double tBase = PhaseTimeSpan.Ticks; int tLastPointMinute = 0; TimeSpan tSpan; for (int i = 0; i &lt; NumberOfPoints; i++) { tValue = Math.Log(i + 1, NumberOfPoints); tValue = Math.Pow(tBase, tValue); tRelativeLocation = (long)tValue; tSpan = new TimeSpan(tRelativeLocation); tCurrentPoint = new DefaultMeasuringPointTemplate(tRelativeLocation); tPoints.Add(tCurrentPoint); } </code></pre> <p>this gives me a rather "good" result for 28 days and 100 points.<br> The first 11 points are all at 0 seconds,<br> 12th point at 1 sec,<br> 20th at 50 sec,<br> 50th at 390 min,<br> 95th at 28605 mins<br> 99 th at 37697 mins (which makes 43 hours to the last point)</p> <p>My question is: Does anybody out there have a good idea how to get the first 20-30 points further apart from each other, maybe getting the last 20-30 a bit closer together?</p> <p>I understand that I will eventually have to add some algorithm that sets the first points apart by at least one minute or so, because I won't be able to get that kind of behaviour into a strictly mathematical algorithm. </p> <p>Something like this:</p> <pre><code>if (((int)tSpan.TotalMinutes) &lt;= tLastPointMinute) { tSpan = new TimeSpan((tLastPointMinute +1) * 600000000L); tRelativeLocation = tSpan.Ticks; tLastPointMinute = (int)tSpan.TotalMinutes; } </code></pre> <p>However, I'd like to get a slightly better distribution overall. </p> <p>Any cool ideas from you math cracks out there would be greatly appreciated!</p>
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