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<title>Lava/Patterns.hs</title>
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<pre><a name="line-1"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Patterns</span> <span class='hs-keyword'>where</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Lava</span>
<a name="line-4"></a>
<a name="line-5"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>5</span> <span class='hs-varop'>->-</span>
<a name="line-6"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>4</span> <span class='hs-varop'>-|-</span>
<a name="line-7"></a>
<a name="line-8"></a><span class='hs-comment'>{-
<a name="line-9"></a>This Lava module defines some often used wiring circuits
<a name="line-10"></a>and connection patterns.
<a name="line-11"></a>-}</span>
<a name="line-12"></a>
<a name="line-13"></a><span class='hs-comment'>----------------------------------------------------------------</span>
<a name="line-14"></a><span class='hs-comment'>-- Wiring Circuits</span>
<a name="line-15"></a>
<a name="line-16"></a><a name="swap"></a><span class='hs-definition'>swap</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-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-17"></a><a name="swapl"></a><span class='hs-definition'>swapl</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-18"></a>
<a name="line-19"></a><a name="copy"></a><span class='hs-definition'>copy</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-20"></a>
<a name="line-21"></a><a name="riffle"></a><span class='hs-definition'>riffle</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>halveList</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>zipp</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>unpair</span>
<a name="line-22"></a><a name="unriffle"></a><span class='hs-definition'>unriffle</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pair</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>unzipp</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>append</span>
<a name="line-23"></a>
<a name="line-24"></a><a name="zipp"></a><span class='hs-definition'>zipp</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-25"></a><span class='hs-definition'>zipp</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-conop'>:</span><span class='hs-keyword'>as</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-conop'>:</span><span class='hs-varid'>bs</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-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>zipp</span> <span class='hs-layout'>(</span><span class='hs-keyword'>as</span><span class='hs-layout'>,</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span>
<a name="line-26"></a>
<a name="line-27"></a><a name="unzipp"></a><span class='hs-definition'>unzipp</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span>
<a name="line-28"></a><span class='hs-definition'>unzipp</span> <span class='hs-layout'>(</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-conop'>:</span><span class='hs-varid'>abs</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-conop'>:</span><span class='hs-keyword'>as</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-conop'>:</span><span class='hs-varid'>bs</span><span class='hs-layout'>)</span>
<a name="line-29"></a> <span class='hs-keyword'>where</span>
<a name="line-30"></a> <span class='hs-layout'>(</span><span class='hs-keyword'>as</span><span class='hs-layout'>,</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipp</span> <span class='hs-varid'>abs</span>
<a name="line-31"></a>
<a name="line-32"></a><a name="pair"></a><span class='hs-definition'>pair</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>pair</span> <span class='hs-varid'>xs</span>
<a name="line-33"></a><span class='hs-definition'>pair</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-34"></a>
<a name="line-35"></a><a name="unpair"></a><span class='hs-definition'>unpair</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>xys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-conop'>:</span> <span class='hs-varid'>y</span> <span class='hs-conop'>:</span> <span class='hs-varid'>unpair</span> <span class='hs-varid'>xys</span>
<a name="line-36"></a><span class='hs-definition'>unpair</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-37"></a>
<a name="line-38"></a><a name="halveList"></a><span class='hs-definition'>halveList</span> <span class='hs-varid'>inps</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>left</span><span class='hs-layout'>,</span><span class='hs-varid'>right</span><span class='hs-layout'>)</span>
<a name="line-39"></a> <span class='hs-keyword'>where</span>
<a name="line-40"></a> <span class='hs-varid'>left</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>take</span> <span class='hs-varid'>half</span> <span class='hs-varid'>inps</span>
<a name="line-41"></a> <span class='hs-varid'>right</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>drop</span> <span class='hs-varid'>half</span> <span class='hs-varid'>inps</span>
<a name="line-42"></a> <span class='hs-varid'>half</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>inps</span> <span class='hs-varop'>`div`</span> <span class='hs-num'>2</span>
<a name="line-43"></a>
<a name="line-44"></a><a name="append"></a><span class='hs-definition'>append</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'>a</span> <span class='hs-varop'>++</span> <span class='hs-varid'>b</span>
<a name="line-45"></a>
<a name="line-46"></a><span class='hs-comment'>----------------------------------------------------------------</span>
<a name="line-47"></a><span class='hs-comment'>-- Connection Patterns</span>
<a name="line-48"></a>
<a name="line-49"></a><a name="serial"></a><span class='hs-definition'>serial</span> <span class='hs-varid'>circ1</span> <span class='hs-varid'>circ2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>circ2</span> <span class='hs-varop'>.</span> <span class='hs-varid'>circ1</span>
<a name="line-50"></a><a name="->-"></a><span class='hs-definition'>circ1</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>circ2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>serial</span> <span class='hs-varid'>circ1</span> <span class='hs-varid'>circ2</span>
<a name="line-51"></a>
<a name="line-52"></a><a name="compose"></a><span class='hs-definition'>compose</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-53"></a><span class='hs-definition'>compose</span> <span class='hs-layout'>(</span><span class='hs-varid'>circ</span><span class='hs-conop'>:</span><span class='hs-varid'>circs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>circ</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>compose</span> <span class='hs-varid'>circs</span>
<a name="line-54"></a>
<a name="line-55"></a><a name="composeN"></a><span class='hs-definition'>composeN</span> <span class='hs-varid'>n</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>compose</span> <span class='hs-layout'>(</span><span class='hs-varid'>replicate</span> <span class='hs-varid'>n</span> <span class='hs-varid'>circ</span><span class='hs-layout'>)</span>
<a name="line-56"></a>
<a name="line-57"></a><a name="par"></a><span class='hs-definition'>par</span> <span class='hs-varid'>circ1</span> <span class='hs-varid'>circ2</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-varid'>circ1</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-varid'>circ2</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-58"></a><a name="-|-"></a><span class='hs-definition'>circ1</span> <span class='hs-varop'>-|-</span> <span class='hs-varid'>circ2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>par</span> <span class='hs-varid'>circ1</span> <span class='hs-varid'>circ2</span>
<a name="line-59"></a>
<a name="line-60"></a><a name="parl"></a><span class='hs-definition'>parl</span> <span class='hs-varid'>circ1</span> <span class='hs-varid'>circ2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>halveList</span> <span class='hs-varop'>->-</span> <span class='hs-layout'>(</span><span class='hs-varid'>circ1</span> <span class='hs-varop'>-|-</span> <span class='hs-varid'>circ2</span><span class='hs-layout'>)</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>append</span>
<a name="line-61"></a>
<a name="line-62"></a>
<a name="line-63"></a><a name="two"></a><span class='hs-definition'>two</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parl</span> <span class='hs-varid'>circ</span> <span class='hs-varid'>circ</span>
<a name="line-64"></a><a name="ilv"></a><span class='hs-definition'>ilv</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unriffle</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>two</span> <span class='hs-varid'>circ</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>riffle</span>
<a name="line-65"></a>
<a name="line-66"></a><a name="iter"></a><span class='hs-definition'>iter</span> <span class='hs-num'>0</span> <span class='hs-varid'>comb</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>circ</span>
<a name="line-67"></a><span class='hs-definition'>iter</span> <span class='hs-varid'>n</span> <span class='hs-varid'>comb</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>comb</span> <span class='hs-layout'>(</span><span class='hs-varid'>iter</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>comb</span> <span class='hs-varid'>circ</span><span class='hs-layout'>)</span>
<a name="line-68"></a>
<a name="line-69"></a><a name="twoN"></a><span class='hs-definition'>twoN</span> <span class='hs-varid'>n</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iter</span> <span class='hs-varid'>n</span> <span class='hs-varid'>two</span> <span class='hs-varid'>circ</span>
<a name="line-70"></a><a name="ilvN"></a><span class='hs-definition'>ilvN</span> <span class='hs-varid'>n</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>iter</span> <span class='hs-varid'>n</span> <span class='hs-varid'>ilv</span> <span class='hs-varid'>circ</span>
<a name="line-71"></a>
<a name="line-72"></a><a name="bfly"></a><span class='hs-definition'>bfly</span> <span class='hs-num'>0</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-73"></a><span class='hs-definition'>bfly</span> <span class='hs-varid'>n</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ilv</span> <span class='hs-layout'>(</span><span class='hs-varid'>bfly</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>circ</span><span class='hs-layout'>)</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>twoN</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>circ</span>
<a name="line-74"></a>
<a name="line-75"></a><a name="pmap"></a><span class='hs-definition'>pmap</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pair</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>map</span> <span class='hs-varid'>circ</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>unpair</span>
<a name="line-76"></a>
<a name="line-77"></a><a name="tri"></a><span class='hs-definition'>tri</span> <span class='hs-varid'>circ</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-78"></a><span class='hs-definition'>tri</span> <span class='hs-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>inp</span><span class='hs-conop'>:</span><span class='hs-varid'>inps</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inp</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>circ</span> <span class='hs-varop'>->-</span> <span class='hs-varid'>tri</span> <span class='hs-varid'>circ</span><span class='hs-layout'>)</span> <span class='hs-varid'>inps</span>
<a name="line-79"></a>
<a name="line-80"></a><a name="mirror"></a><span class='hs-definition'>mirror</span> <span class='hs-varid'>circ</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-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-81"></a> <span class='hs-keyword'>where</span>
<a name="line-82"></a> <span class='hs-layout'>(</span><span class='hs-varid'>d</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-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-83"></a>
<a name="line-84"></a><a name="row"></a><span class='hs-definition'>row</span> <span class='hs-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>carryIn</span><span class='hs-layout'>,</span> <span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-layout'>,</span> <span class='hs-varid'>carryIn</span><span class='hs-layout'>)</span>
<a name="line-85"></a><span class='hs-definition'>row</span> <span class='hs-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>carryIn</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-conop'>:</span><span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-conop'>:</span><span class='hs-varid'>bs</span><span class='hs-layout'>,</span> <span class='hs-varid'>carryOut</span><span class='hs-layout'>)</span>
<a name="line-86"></a> <span class='hs-keyword'>where</span>
<a name="line-87"></a> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>carry</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>carryIn</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-88"></a> <span class='hs-layout'>(</span><span class='hs-varid'>bs</span><span class='hs-layout'>,</span> <span class='hs-varid'>carryOut</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>row</span> <span class='hs-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>carry</span><span class='hs-layout'>,</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span>
<a name="line-89"></a>
<a name="line-90"></a><a name="column"></a><span class='hs-definition'>column</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mirror</span> <span class='hs-layout'>(</span><span class='hs-varid'>row</span> <span class='hs-layout'>(</span><span class='hs-varid'>mirror</span> <span class='hs-varid'>circ</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-91"></a>
<a name="line-92"></a><a name="grid"></a><span class='hs-definition'>grid</span> <span class='hs-varid'>circ</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>row</span> <span class='hs-layout'>(</span><span class='hs-varid'>column</span> <span class='hs-varid'>circ</span><span class='hs-layout'>)</span>
<a name="line-93"></a>
<a name="line-94"></a><span class='hs-comment'>----------------------------------------------------------------</span>
<a name="line-95"></a><span class='hs-comment'>-- the end.</span>
<a name="line-96"></a>
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