equals - How to calculate axis ticks at a uniform distribution? -

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given data range minimum , maximum value, how can 1 calculate distribution of buckets on axis?
the requirements are:
- axis ticks shall evenly distributed (equal size).
- further, ticks shall appear numbers 10, 20, 30, ... or -0.3, 0.1, 0.2, 0.4, ...
- calculation shall accept parameter defines number of buckets wanted.

the following example calculates maximum of 10 buckets or less.

num buckets = 10 range length = 500 500 / 10 = 50 log_10(50) = 1,69 round up(1,69) = 2 10^2 = 100 bucket size 500 / 100 = 5 buckets

result: there 5 buckets each @ size of 100.
steps produce buckets based on 10^x 0.01, 0.1, 1, 10, 100, 1000 ...

how can 1 calculate buckets size 42 buckets?

i not sure think code can (adapted javascript yui yahoo.util.dragdrop.js)

var initposition = 0; var rangelength  = 500; var maxposition  = (initposition + rangelength); getticks: function(bucketsize) {     var axisticks = [];      var tickmap = {};     (i = initposition; <= maxposition; = + bucketsize) {         if (!tickmap[i]) {             axisticks[axisticks.length] = i;              tickmap[i] = true;         }     }      return axisticks; }

the drawback because, sometimes, axis ticks not evenly distributed ((initposition + rangelength) / bucketsize) not return plain integer


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