Cumulative standard deviation: Difference between revisions
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Drkameleon (talk | contribs) (Added Arturo implementation) |
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=={{header|Phix}}== |
=={{header|Phix}}== |
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demo\rosetta\Standard_deviation.exw contains a copy of this code and a version that could be the basis for a library version that can handle multiple active data sets concurrently. |
demo\rosetta\Standard_deviation.exw contains a copy of this code and a version that could be the basis for a library version that can handle multiple active data sets concurrently. |
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<lang Phix> |
<!--<lang Phix>(phixonline)--> |
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> |
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procedure sdadd(atom n) |
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<span style="color: #004080;">atom</span> <span style="color: #000000;">sdn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">sdsum</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">sdsumsq</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> |
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sdn += 1 |
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sdsum += n |
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">sdadd</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span> |
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sdsumsq += n*n |
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<span style="color: #000000;">sdn</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> |
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end procedure |
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<span style="color: #000000;">sdsum</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">n</span> |
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<span style="color: #000000;">sdsumsq</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">*</span><span style="color: #000000;">n</span> |
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function sdavg() |
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span> |
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return sdsum/sdn |
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end function |
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<span style="color: #008080;">function</span> <span style="color: #000000;">sdavg</span><span style="color: #0000FF;">()</span> |
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<span style="color: #008080;">return</span> <span style="color: #000000;">sdsum</span><span style="color: #0000FF;">/</span><span style="color: #000000;">sdn</span> |
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function sddev() |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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return sqrt(sdsumsq/sdn - power(sdsum/sdn,2)) |
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end function |
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<span style="color: #008080;">function</span> <span style="color: #000000;">sddev</span><span style="color: #0000FF;">()</span> |
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<span style="color: #008080;">return</span> <span style="color: #7060A8;">sqrt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sdsumsq</span><span style="color: #0000FF;">/</span><span style="color: #000000;">sdn</span> <span style="color: #0000FF;">-</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sdsum</span><span style="color: #0000FF;">/</span><span style="color: #000000;">sdn</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">))</span> |
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--test code: |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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constant testset = {2, 4, 4, 4, 5, 5, 7, 9} |
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integer ti |
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<span style="color: #000080;font-style:italic;">--test code:</span> |
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for i=1 to length(testset) do |
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<span style="color: #008080;">constant</span> <span style="color: #000000;">testset</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">}</span> |
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ti = testset[i] |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">ti</span> |
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sdadd(ti) |
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<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">testset</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> |
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printf(1,"N=%d Item=%d Avg=%5.3f StdDev=%5.3f\n",{i,ti,sdavg(),sddev()}) |
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<span style="color: #000000;">ti</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">testset</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> |
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<span style="color: #000000;">sdadd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">)</span> |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"N=%d Item=%d Avg=%5.3f StdDev=%5.3f\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">,</span><span style="color: #000000;">sdavg</span><span style="color: #0000FF;">(),</span><span style="color: #000000;">sddev</span><span style="color: #0000FF;">()})</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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