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POGenerating evenly distributed multiples/samples within a range
 

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  1. POGenerating evenly distributed multiples/samples within a range
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    <p><strong>Specific instance of Problem</strong><br> I have an int range from 1-100. I want to generate n total numbers within this range that are <strong>as evenly distributed as possible</strong> and include the first and last values.</p> <p><strong>Example</strong> </p> <pre><code>start = 1, end = 100, n = 5 Output: [1, 25, 50, 75, 100] start = 1, end = 100, n = 4 Output: [1, 33, 66, 100] start = 1, end = 100, n = 2 Output: [1, 100] </code></pre> <p><strong>What I currently have</strong><br> I actually have a working approach but I keep feeling I am over thinking this and missing something more simple? Is this the most efficient approach or could this be improved?</p> <pre class="lang-python prettyprint-override"><code>def steps(start, end, n): n = min(end, max(n, 2) - 1) mult = end / float(n) yield start for scale in xrange(1, n+1): val = int(mult * scale) if val != start: yield val </code></pre> <p>Note, I am ensuring that this function will always return at least the lower and upper limit values of the range. So, I force <code>n &gt;= 2</code></p> <p>Just for search reference, I am using this to sample image frames from a rendered sequence, where you would usually want the first, middle, last. But I wanted to be able to scale a bit better to handle really long image sequences and get better coverage. </p> <p><strong>Solved: From the selected answer</strong></p> <p>I ended up using this slightly modified version of @vartec's answer, to be a generator, and also cap the <code>n</code> value for safety:</p> <pre><code>def steps(start,end,n): n = min(end, max(n, 2)) step = (end-start)/float(n-1) return (int(round(start+x*step)) for x in xrange(n)) </code></pre>
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    1. COYour code doesn't handle `list(steps(50,100,3))`
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    2. CO`[1, 33, 66, 100]` is not most even possible, it should be `[1, 33, 67, 100]`, after all 66.66(6) should be rounded up, not down.
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    3. COFor example 2 your numbers are not evenly spaced (see my answer) or do I miss something?
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