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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE PatternGuards #-}</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Numeric</span><span class='hs-varop'>.</span><span class='hs-conid'>Histogram</span> <span class='hs-layout'>(</span> <span class='hs-conid'>Range</span>
<a name="line-4"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>binBounds</span>
<a name="line-5"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>histValues</span>
<a name="line-6"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>histWeightedValues</span>
<a name="line-7"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>histWithBins</span>
<a name="line-8"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-9"></a>
<a name="line-10"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>V</span>
<a name="line-11"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span><span class='hs-varop'>.</span><span class='hs-conid'>Mutable</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>MV</span>
<a name="line-12"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span><span class='hs-varop'>.</span><span class='hs-conid'>ST</span>
<a name="line-13"></a>
<a name="line-14"></a><a name="Range"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Range</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-15"></a>
<a name="line-16"></a><a name="binBounds"></a><span class='hs-comment'>-- | 'binBounds a b n' generates bounds for 'n' bins spaced linearly between</span>
<a name="line-17"></a><span class='hs-comment'>-- 'a' and 'b'</span>
<a name="line-18"></a><span class='hs-definition'>binBounds</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Range</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-19"></a><span class='hs-definition'>binBounds</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>-></span><span class='hs-layout'>(</span><span class='hs-varid'>lbound</span> <span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>lbound</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>0</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>n</span><span class='hs-keyglyph'>]</span>
<a name="line-20"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>lbound</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>+</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-comment'>-</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'>*</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varid'>i</span> <span class='hs-varop'>/</span> <span class='hs-varid'>realToFrac</span> <span class='hs-varid'>n</span>
<a name="line-21"></a>
<a name="line-22"></a><a name="histValues"></a><span class='hs-comment'>-- | 'histValues a b n vs' returns the bins for the histogram of</span>
<a name="line-23"></a><span class='hs-comment'>-- 'vs' on the range from 'a' to 'b' with 'n' bins</span>
<a name="line-24"></a><span class='hs-definition'>histValues</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Range</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span>
<a name="line-25"></a><span class='hs-definition'>histValues</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>histWithBins</span> <span class='hs-layout'>(</span><span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>binBounds</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>zip</span> <span class='hs-layout'>(</span><span class='hs-varid'>repeat</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-26"></a>
<a name="line-27"></a><a name="histWeightedValues"></a><span class='hs-comment'>-- | 'histValues a b n vs' returns the bins for the weighted histogram of</span>
<a name="line-28"></a><span class='hs-comment'>-- 'vs' on the range from 'a' to 'b' with 'n' bins</span>
<a name="line-29"></a><span class='hs-definition'>histWeightedValues</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Double</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Range</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Double</span><span class='hs-layout'>)</span>
<a name="line-30"></a><span class='hs-definition'>histWeightedValues</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>histWithBins</span> <span class='hs-layout'>(</span><span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>fromList</span> <span class='hs-varop'>$</span> <span class='hs-varid'>binBounds</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="histWithBins"></a><span class='hs-comment'>-- | 'histWithBins bins xs' is the histogram of weighted values 'xs' with 'bins'</span>
<a name="line-33"></a><span class='hs-definition'>histWithBins</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Range</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Range</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span>
<a name="line-34"></a><span class='hs-definition'>histWithBins</span> <span class='hs-varid'>bins</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span>
<a name="line-35"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>testBin</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Range</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span>
<a name="line-36"></a> <span class='hs-varid'>testBin</span> <span class='hs-varid'>x</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>x</span> <span class='hs-varop'><</span> <span class='hs-varid'>b</span>
<a name="line-37"></a>
<a name="line-38"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>RealFrac</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span>
<a name="line-39"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Range</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>MV</span><span class='hs-varop'>.</span><span class='hs-conid'>STVector</span> <span class='hs-varid'>s</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-40"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>ST</span> <span class='hs-varid'>s</span> <span class='hs-conid'>()</span>
<a name="line-41"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>bins1</span> <span class='hs-varid'>bs</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-42"></a> <span class='hs-keyword'>case</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>dropWhile</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varop'>.</span> <span class='hs-varid'>testBin</span> <span class='hs-varid'>x</span> <span class='hs-varop'>.</span> <span class='hs-varid'>snd</span><span class='hs-layout'>)</span> <span class='hs-varop'>$</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>indexed</span> <span class='hs-varid'>bins1</span> <span class='hs-keyword'>of</span>
<a name="line-43"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>null</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-44"></a> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>idx</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>head</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-45"></a> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-conid'>MV</span><span class='hs-varop'>.</span><span class='hs-varid'>read</span> <span class='hs-varid'>bs</span> <span class='hs-varid'>idx</span>
<a name="line-46"></a> <span class='hs-conid'>MV</span><span class='hs-varop'>.</span><span class='hs-varid'>write</span> <span class='hs-varid'>bs</span> <span class='hs-varid'>idx</span> <span class='hs-varop'>$!</span> <span class='hs-varid'>n</span><span class='hs-varop'>+</span><span class='hs-varid'>w</span>
<a name="line-47"></a>
<a name="line-48"></a> <span class='hs-varid'>counts</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runST</span> <span class='hs-varop'>$</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'><-</span> <span class='hs-conid'>MV</span><span class='hs-varop'>.</span><span class='hs-varid'>replicate</span> <span class='hs-layout'>(</span><span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>length</span> <span class='hs-varid'>bins</span><span class='hs-layout'>)</span> <span class='hs-num'>0</span>
<a name="line-49"></a> <span class='hs-varid'>mapM_</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>bins</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-50"></a> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>freeze</span> <span class='hs-varid'>b</span>
<a name="line-51"></a> <span class='hs-keyword'>in</span> <span class='hs-conid'>V</span><span class='hs-varop'>.</span><span class='hs-varid'>zip</span> <span class='hs-varid'>bins</span> <span class='hs-varid'>counts</span>
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