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<title>src/full/Agda/Utils/Map.hs</title>
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<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE CPP #-}</span>
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<a name="line-3"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-keyword'>where</span>
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<a name="line-5"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span><span class='hs-layout'>,</span> <span class='hs-varid'>lookup</span><span class='hs-layout'>,</span> <span class='hs-varid'>mapM</span><span class='hs-layout'>)</span>
<a name="line-6"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-7"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Map</span> <span class='hs-keyword'>as</span> <span class='hs-conid'>Map</span>
<a name="line-8"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span>
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<a name="line-10"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-11"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Tuple</span>
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<a name="line-13"></a><span class='hs-cpp'>#include "../undefined.h"</span>
<a name="line-14"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Agda</span><span class='hs-varop'>.</span><span class='hs-conid'>Utils</span><span class='hs-varop'>.</span><span class='hs-conid'>Impossible</span>
<a name="line-15"></a>
<a name="line-16"></a><a name="EitherOrBoth"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>EitherOrBoth</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>L</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>B</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>R</span> <span class='hs-varid'>b</span>
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<a name="line-18"></a><a name="unionWithM"></a><span class='hs-comment'>-- | Not very efficient (goes via a list), but it'll do.</span>
<a name="line-19"></a><span class='hs-definition'>unionWithM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>Functor</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</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'>m</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-20"></a><span class='hs-definition'>unionWithM</span> <span class='hs-varid'>f</span> <span class='hs-varid'>m1</span> <span class='hs-varid'>m2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromList</span> <span class='hs-varop'><$></span> <span class='hs-varid'>mapM</span> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-varid'>toList</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-21"></a> <span class='hs-keyword'>where</span>
<a name="line-22"></a> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unionWith</span> <span class='hs-varid'>both</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-conid'>L</span> <span class='hs-varid'>m1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-conid'>R</span> <span class='hs-varid'>m2</span><span class='hs-layout'>)</span>
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<a name="line-24"></a> <span class='hs-varid'>both</span> <span class='hs-layout'>(</span><span class='hs-conid'>L</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>R</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>B</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-25"></a> <span class='hs-varid'>both</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-sel'>__IMPOSSIBLE__</span>
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<a name="line-27"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>B</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>k</span> <span class='hs-varop'><$></span> <span class='hs-varid'>f</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span>
<a name="line-28"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>L</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-29"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>R</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
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<a name="line-31"></a><a name="insertWithKeyM"></a><span class='hs-definition'>insertWithKeyM</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span><span class='hs-layout'>,</span> <span class='hs-conid'>Monad</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>k</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-varid'>m</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-32"></a><span class='hs-definition'>insertWithKeyM</span> <span class='hs-varid'>clash</span> <span class='hs-varid'>k</span> <span class='hs-varid'>x</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span>
<a name="line-33"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>lookup</span> <span class='hs-varid'>k</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>of</span>
<a name="line-34"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span>
<a name="line-35"></a> <span class='hs-varid'>z</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>clash</span> <span class='hs-varid'>k</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span>
<a name="line-36"></a> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>insert</span> <span class='hs-varid'>k</span> <span class='hs-varid'>z</span> <span class='hs-varid'>m</span>
<a name="line-37"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>return</span> <span class='hs-varop'>$</span> <span class='hs-varid'>insert</span> <span class='hs-varid'>k</span> <span class='hs-varid'>x</span> <span class='hs-varid'>m</span>
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<a name="line-39"></a><a name="filterKeys"></a><span class='hs-comment'>-- | Filter a map based on the keys.</span>
<a name="line-40"></a><span class='hs-definition'>filterKeys</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span>
<a name="line-41"></a><span class='hs-definition'>filterKeys</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filterWithKey</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varop'>.</span> <span class='hs-varid'>p</span><span class='hs-layout'>)</span>
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<a name="line-43"></a><a name="unzip"></a><span class='hs-comment'>-- | Unzip a map.</span>
<a name="line-44"></a><span class='hs-definition'>unzip</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</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-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-45"></a><span class='hs-definition'>unzip</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>fst</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>snd</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
<a name="line-46"></a>
<a name="line-47"></a><a name="unzip3"></a><span class='hs-definition'>unzip3</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</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-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Map</span> <span class='hs-varid'>k</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-48"></a><span class='hs-definition'>unzip3</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>fst3</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>snd3</span> <span class='hs-varid'>m</span><span class='hs-layout'>,</span> <span class='hs-conid'>Map</span><span class='hs-varop'>.</span><span class='hs-varid'>map</span> <span class='hs-varid'>thd3</span> <span class='hs-varid'>m</span><span class='hs-layout'>)</span>
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