<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html> <head> <!-- Generated by HsColour, http://www.cs.york.ac.uk/fp/darcs/hscolour/ --> <title>Lava/Signal.hs</title> <link type='text/css' rel='stylesheet' href='hscolour.css' /> </head> <body> <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'>Signal</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><span class='hs-varop'>.</span><span class='hs-conid'>Ref</span> <a name="line-4"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Sequent</span> <a name="line-5"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Error</span> <a name="line-6"></a> <a name="line-7"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>List</span> <a name="line-8"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>transpose</span> <a name="line-9"></a> <span class='hs-layout'>)</span> <a name="line-10"></a> <a name="line-11"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-12"></a><span class='hs-comment'>-- Signal, Symbol, S</span> <a name="line-13"></a> <a name="line-14"></a><a name="Signal"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-15"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Symbol</span> <a name="line-16"></a> <a name="line-17"></a><a name="Symbol"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Symbol</span> <a name="line-18"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Symbol</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ref</span> <span class='hs-layout'>(</span><span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-19"></a> <a name="line-20"></a><a name="S"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>S</span> <span class='hs-varid'>s</span> <a name="line-21"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Bool</span> <span class='hs-conid'>Bool</span> <a name="line-22"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Inv</span> <span class='hs-varid'>s</span> <a name="line-23"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>And</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-24"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Or</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-25"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Xor</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-26"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>VarBool</span> <span class='hs-conid'>String</span> <a name="line-27"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <a name="line-28"></a> <a name="line-29"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Int</span> <span class='hs-conid'>Int</span> <a name="line-30"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Neg</span> <span class='hs-varid'>s</span> <a name="line-31"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Div</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <a name="line-32"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Mod</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <a name="line-33"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Plus</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-34"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Times</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-35"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Gte</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <a name="line-36"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>Equal</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-37"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>If</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <a name="line-38"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>VarInt</span> <span class='hs-conid'>String</span> <a name="line-39"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s</span> <a name="line-40"></a> <a name="line-41"></a><a name="symbol"></a><span class='hs-definition'>symbol</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Symbol</span> <a name="line-42"></a><span class='hs-definition'>symbol</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Symbol</span> <span class='hs-varop'>.</span> <span class='hs-varid'>ref</span> <a name="line-43"></a> <a name="line-44"></a><a name="unsymbol"></a><span class='hs-definition'>unsymbol</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span> <a name="line-45"></a><span class='hs-definition'>unsymbol</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>deref</span> <span class='hs-varid'>r</span> <a name="line-46"></a> <a name="line-47"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Eq</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-48"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-varid'>r1</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-varid'>r2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>r1</span> <span class='hs-varop'>==</span> <span class='hs-varid'>r2</span> <a name="line-49"></a> <a name="line-50"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-51"></a><span class='hs-comment'>-- operations</span> <a name="line-52"></a> <a name="line-53"></a><span class='hs-comment'>-- on bits</span> <a name="line-54"></a> <a name="line-55"></a><a name="bool"></a><span class='hs-definition'>bool</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-56"></a><span class='hs-definition'>bool</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <a name="line-57"></a> <a name="line-58"></a><a name="low"></a><span class='hs-definition'>low</span><span class='hs-layout'>,</span> <span class='hs-varid'>high</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-59"></a><span class='hs-definition'>low</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bool</span> <span class='hs-conid'>False</span> <a name="line-60"></a><a name="high"></a><span class='hs-definition'>high</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>bool</span> <span class='hs-conid'>True</span> <a name="line-61"></a> <a name="line-62"></a><a name="inv"></a><span class='hs-definition'>inv</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-63"></a><span class='hs-definition'>inv</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift1</span> <span class='hs-conid'>Inv</span> <a name="line-64"></a> <a name="line-65"></a><a name="andl"></a><span class='hs-definition'>andl</span><span class='hs-layout'>,</span> <span class='hs-varid'>orl</span><span class='hs-layout'>,</span> <span class='hs-varid'>xorl</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-66"></a><span class='hs-definition'>andl</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>And</span> <a name="line-67"></a><a name="orl"></a><span class='hs-definition'>orl</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Or</span> <a name="line-68"></a><a name="xorl"></a><span class='hs-definition'>xorl</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Xor</span> <a name="line-69"></a> <a name="line-70"></a><a name="equalBool"></a><span class='hs-definition'>equalBool</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-71"></a><span class='hs-definition'>equalBool</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>inv</span> <span class='hs-layout'>(</span><span class='hs-varid'>xorl</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <a name="line-72"></a> <a name="line-73"></a><a name="ifBool"></a><span class='hs-definition'>ifBool</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span><span class='hs-layout'>,</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-74"></a><span class='hs-definition'>ifBool</span> <span class='hs-varid'>c</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-keyglyph'>=</span> <span class='hs-varid'>orl</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>andl</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span><span class='hs-varid'>andl</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>inv</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span> <a name="line-75"></a> <a name="line-76"></a><a name="delayBool"></a><span class='hs-definition'>delayBool</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-77"></a><span class='hs-definition'>delayBool</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>DelayBool</span> <a name="line-78"></a> <a name="line-79"></a><a name="varBool"></a><span class='hs-definition'>varBool</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-80"></a><span class='hs-definition'>varBool</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <a name="line-81"></a> <a name="line-82"></a><span class='hs-comment'>-- on ints</span> <a name="line-83"></a> <a name="line-84"></a><a name="int"></a><span class='hs-definition'>int</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <a name="line-85"></a><span class='hs-definition'>int</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <a name="line-86"></a> <a name="line-87"></a><a name="neg"></a><span class='hs-definition'>neg</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <a name="line-88"></a><span class='hs-definition'>neg</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift1</span> <span class='hs-conid'>Neg</span> <a name="line-89"></a> <a name="line-90"></a><a name="divide"></a><span class='hs-definition'>divide</span><span class='hs-layout'>,</span> <span class='hs-varid'>modulo</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <a name="line-91"></a><span class='hs-definition'>divide</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>Div</span> <a name="line-92"></a><a name="modulo"></a><span class='hs-definition'>modulo</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>Mod</span> <a name="line-93"></a> <a name="line-94"></a><a name="plusl"></a><span class='hs-definition'>plusl</span><span class='hs-layout'>,</span> <span class='hs-varid'>timesl</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <a name="line-95"></a><span class='hs-definition'>plusl</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Plus</span> <a name="line-96"></a><a name="timesl"></a><span class='hs-definition'>timesl</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Times</span> <a name="line-97"></a> <a name="line-98"></a><a name="equall"></a><span class='hs-definition'>equall</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-99"></a><span class='hs-definition'>equall</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Equal</span> <a name="line-100"></a> <a name="line-101"></a><a name="gteInt"></a><span class='hs-definition'>gteInt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-102"></a><span class='hs-definition'>gteInt</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>Gte</span> <a name="line-103"></a> <a name="line-104"></a><a name="equalInt"></a><span class='hs-definition'>equalInt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <a name="line-105"></a><span class='hs-definition'>equalInt</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>equall</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-106"></a> <a name="line-107"></a><a name="ifInt"></a><span class='hs-definition'>ifInt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span><span class='hs-layout'>,</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-108"></a><span class='hs-definition'>ifInt</span> <span class='hs-varid'>c</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-keyglyph'>=</span> <span class='hs-varid'>lift3</span> <span class='hs-conid'>If</span> <span class='hs-varid'>c</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-109"></a> <a name="line-110"></a><a name="delayInt"></a><span class='hs-definition'>delayInt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <a name="line-111"></a><span class='hs-definition'>delayInt</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>DelayInt</span> <a name="line-112"></a> <a name="line-113"></a><a name="varInt"></a><span class='hs-definition'>varInt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Int</span> <a name="line-114"></a><span class='hs-definition'>varInt</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>VarInt</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <a name="line-115"></a> <a name="line-116"></a><span class='hs-comment'>-- liftings</span> <a name="line-117"></a> <a name="line-118"></a><a name="lift0"></a><span class='hs-definition'>lift0</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-119"></a><span class='hs-definition'>lift0</span> <span class='hs-varid'>oper</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>symbol</span> <span class='hs-varid'>oper</span><span class='hs-layout'>)</span> <a name="line-120"></a> <a name="line-121"></a><a name="lift1"></a><span class='hs-definition'>lift1</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span> <a name="line-122"></a><span class='hs-definition'>lift1</span> <span class='hs-varid'>oper</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>symbol</span> <span class='hs-layout'>(</span><span class='hs-varid'>oper</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-123"></a> <a name="line-124"></a><a name="lift2"></a><span class='hs-definition'>lift2</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>c</span> <a name="line-125"></a><span class='hs-definition'>lift2</span> <span class='hs-varid'>oper</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>symbol</span> <span class='hs-layout'>(</span><span class='hs-varid'>oper</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-126"></a> <a name="line-127"></a><a name="lift3"></a><span class='hs-definition'>lift3</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Symbol</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span><span class='hs-layout'>)</span> <a name="line-128"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>d</span> <a name="line-129"></a><span class='hs-definition'>lift3</span> <span class='hs-varid'>oper</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>symbol</span> <span class='hs-layout'>(</span><span class='hs-varid'>oper</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-130"></a> <a name="line-131"></a><a name="liftl"></a><span class='hs-definition'>liftl</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-conid'>Symbol</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span> <span class='hs-conid'>Symbol</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>c</span> <a name="line-132"></a><span class='hs-definition'>liftl</span> <span class='hs-varid'>oper</span> <span class='hs-varid'>sigas</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>symbol</span> <span class='hs-layout'>(</span><span class='hs-varid'>oper</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>sigas</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-133"></a> <a name="line-134"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-135"></a><span class='hs-comment'>-- evaluate</span> <a name="line-136"></a> <a name="line-137"></a><a name="eval"></a><span class='hs-definition'>eval</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>S</span> <span class='hs-layout'>(</span><span class='hs-conid'>S</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>S</span> <span class='hs-varid'>a</span> <a name="line-138"></a><span class='hs-definition'>eval</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-139"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-140"></a> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <a name="line-141"></a> <span class='hs-conid'>Inv</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <a name="line-142"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-varop'>.</span> <span class='hs-varid'>all</span> <span class='hs-varid'>bval</span> <span class='hs-varop'>$</span> <span class='hs-varid'>xs</span> <a name="line-143"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-varop'>.</span> <span class='hs-varid'>any</span> <span class='hs-varid'>bval</span> <span class='hs-varop'>$</span> <span class='hs-varid'>xs</span> <a name="line-144"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-num'>1</span> <span class='hs-varop'>==</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>length</span> <span class='hs-varop'>.</span> <span class='hs-varid'>filter</span> <span class='hs-varid'>bval</span> <span class='hs-varop'>$</span> <span class='hs-varid'>xs</span> <a name="line-145"></a> <a name="line-146"></a> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <a name="line-147"></a> <span class='hs-conid'>Neg</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-varid'>n</span><span class='hs-layout'>)</span> <a name="line-148"></a> <span class='hs-conid'>Div</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-varid'>n1</span> <span class='hs-varop'>`div`</span> <span class='hs-varid'>n2</span><span class='hs-layout'>)</span> <a name="line-149"></a> <span class='hs-conid'>Mod</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-layout'>(</span><span class='hs-varid'>n1</span> <span class='hs-varop'>`mod`</span> <span class='hs-varid'>n2</span><span class='hs-layout'>)</span> <a name="line-150"></a> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-varop'>.</span> <span class='hs-varid'>sum</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>nval</span> <span class='hs-varop'>$</span> <span class='hs-varid'>xs</span> <a name="line-151"></a> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-varop'>.</span> <span class='hs-varid'>product</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>nval</span> <span class='hs-varop'>$</span> <span class='hs-varid'>xs</span> <a name="line-152"></a> <span class='hs-conid'>Gte</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-layout'>(</span><span class='hs-varid'>n1</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>n2</span><span class='hs-layout'>)</span> <a name="line-153"></a> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-varop'>.</span> <span class='hs-varid'>equal</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>nval</span> <span class='hs-varop'>$</span> <span class='hs-varid'>xs</span> <a name="line-154"></a> <span class='hs-conid'>If</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>if</span> <span class='hs-varid'>c</span> <span class='hs-keyword'>then</span> <span class='hs-varid'>x</span> <span class='hs-keyword'>else</span> <span class='hs-varid'>y</span> <a name="line-155"></a> <a name="line-156"></a> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>wrong</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Error</span><span class='hs-varop'>.</span><span class='hs-conid'>DelayEval</span> <a name="line-157"></a> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>wrong</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Error</span><span class='hs-varop'>.</span><span class='hs-conid'>DelayEval</span> <a name="line-158"></a> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>wrong</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Error</span><span class='hs-varop'>.</span><span class='hs-conid'>VarEval</span> <a name="line-159"></a> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>wrong</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Error</span><span class='hs-varop'>.</span><span class='hs-conid'>VarEval</span> <a name="line-160"></a> <span class='hs-keyword'>where</span> <a name="line-161"></a> <span class='hs-varid'>bval</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span> <a name="line-162"></a> <span class='hs-varid'>nval</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>n</span> <a name="line-163"></a> <a name="line-164"></a> <span class='hs-varid'>equal</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-varid'>x</span> <span class='hs-varop'>==</span> <span class='hs-varid'>y</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>equal</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-165"></a> <span class='hs-varid'>equal</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>True</span> <a name="line-166"></a> <a name="line-167"></a><a name="evalLazy"></a><span class='hs-definition'>evalLazy</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>S</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-layout'>(</span><span class='hs-conid'>S</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Maybe</span> <span class='hs-layout'>(</span><span class='hs-conid'>S</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <a name="line-168"></a><span class='hs-definition'>evalLazy</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-169"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-170"></a> <span class='hs-comment'>-- lazy</span> <a name="line-171"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <a name="line-172"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>any</span> <span class='hs-layout'>(</span><span class='hs-varop'>`bval`</span> <span class='hs-conid'>False</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>bans</span> <span class='hs-conid'>False</span> <a name="line-173"></a> <a name="line-174"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <a name="line-175"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>any</span> <span class='hs-layout'>(</span><span class='hs-varop'>`bval`</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>bans</span> <span class='hs-conid'>True</span> <a name="line-176"></a> <a name="line-177"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <a name="line-178"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>number</span> <span class='hs-layout'>(</span><span class='hs-varop'>`bval`</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> <span class='hs-varop'>>=</span> <span class='hs-num'>2</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>bans</span> <span class='hs-conid'>False</span> <a name="line-179"></a> <a name="line-180"></a> <span class='hs-comment'>-- strict</span> <a name="line-181"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>eval</span> <span class='hs-varop'>`fmap`</span> <span class='hs-varid'>sequent</span> <span class='hs-varid'>s</span> <a name="line-182"></a> <a name="line-183"></a> <span class='hs-keyword'>where</span> <a name="line-184"></a> <span class='hs-varid'>bans</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Just</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Bool</span> <a name="line-185"></a> <a name="line-186"></a> <span class='hs-varid'>bval</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>b'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span> <span class='hs-varop'>==</span> <span class='hs-varid'>b'</span> <a name="line-187"></a> <span class='hs-varid'>bval</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>False</span> <a name="line-188"></a> <a name="line-189"></a> <span class='hs-varid'>number</span> <span class='hs-varid'>p</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varop'>.</span> <span class='hs-varid'>filter</span> <span class='hs-varid'>p</span> <a name="line-190"></a> <a name="line-191"></a><a name="arguments"></a><span class='hs-definition'>arguments</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>S</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <a name="line-192"></a><span class='hs-definition'>arguments</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-193"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-194"></a> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span> <a name="line-195"></a> <span class='hs-conid'>Inv</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-196"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>xs</span> <a name="line-197"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>xs</span> <a name="line-198"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>xs</span> <a name="line-199"></a> <a name="line-200"></a> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span> <a name="line-201"></a> <span class='hs-conid'>Neg</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-202"></a> <span class='hs-conid'>Div</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span><span class='hs-varid'>s2</span><span class='hs-keyglyph'>]</span> <a name="line-203"></a> <span class='hs-conid'>Mod</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span><span class='hs-varid'>s2</span><span class='hs-keyglyph'>]</span> <a name="line-204"></a> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>xs</span> <a name="line-205"></a> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>xs</span> <a name="line-206"></a> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-207"></a> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>xs</span> <a name="line-208"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</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-varid'>z</span><span class='hs-keyglyph'>]</span> <a name="line-209"></a> <a name="line-210"></a> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span><span class='hs-varid'>s'</span><span class='hs-keyglyph'>]</span> <a name="line-211"></a> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span><span class='hs-varid'>s'</span><span class='hs-keyglyph'>]</span> <a name="line-212"></a> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span> <a name="line-213"></a> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>[]</span> <a name="line-214"></a> <a name="line-215"></a><a name="zips"></a><span class='hs-definition'>zips</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>S</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-keyglyph'>[</span><span class='hs-conid'>S</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <a name="line-216"></a><span class='hs-definition'>zips</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-217"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-218"></a> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span> <a name="line-219"></a> <span class='hs-conid'>Inv</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Inv</span> <span class='hs-varid'>s</span> <a name="line-220"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>And</span> <span class='hs-layout'>(</span><span class='hs-varid'>transpose</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-221"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Or</span> <span class='hs-layout'>(</span><span class='hs-varid'>transpose</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-222"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Xor</span> <span class='hs-layout'>(</span><span class='hs-varid'>transpose</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-223"></a> <a name="line-224"></a> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n</span><span class='hs-keyglyph'>]</span> <a name="line-225"></a> <span class='hs-conid'>Neg</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Neg</span> <span class='hs-varid'>s</span> <a name="line-226"></a> <span class='hs-conid'>Div</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>zipWith</span> <span class='hs-conid'>Div</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <a name="line-227"></a> <span class='hs-conid'>Mod</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>zipWith</span> <span class='hs-conid'>Mod</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <a name="line-228"></a> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Plus</span> <span class='hs-layout'>(</span><span class='hs-varid'>transpose</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-229"></a> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Times</span> <span class='hs-layout'>(</span><span class='hs-varid'>transpose</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-230"></a> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>zipWith</span> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-231"></a> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>map</span> <span class='hs-conid'>Equal</span> <span class='hs-layout'>(</span><span class='hs-varid'>transpose</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-232"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>zipWith3</span> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <a name="line-233"></a> <a name="line-234"></a> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>zipWith</span> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <a name="line-235"></a> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>zipWith</span> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>s</span> <span class='hs-varid'>s'</span> <a name="line-236"></a> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-237"></a> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>VarInt</span> <span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span> <a name="line-238"></a> <a name="line-239"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-240"></a><span class='hs-comment'>-- properties of S</span> <a name="line-241"></a> <a name="line-242"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-conid'>S</span> <span class='hs-keyword'>where</span> <a name="line-243"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-244"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-245"></a> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <a name="line-246"></a> <span class='hs-conid'>Inv</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Inv</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <a name="line-247"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>And</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-248"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Or</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-249"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Xor</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-250"></a> <a name="line-251"></a> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <a name="line-252"></a> <span class='hs-conid'>Neg</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Neg</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <a name="line-253"></a> <span class='hs-conid'>Div</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Div</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <a name="line-254"></a> <span class='hs-conid'>Mod</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Mod</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <a name="line-255"></a> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Plus</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-256"></a> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Times</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-257"></a> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gte</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <a name="line-258"></a> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Equal</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-259"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>If</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <a name="line-260"></a> <a name="line-261"></a> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DelayBool</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <a name="line-262"></a> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DelayInt</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <a name="line-263"></a> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>v</span> <a name="line-264"></a> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>v</span> <a name="line-265"></a> <a name="line-266"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Sequent</span> <span class='hs-conid'>S</span> <span class='hs-keyword'>where</span> <a name="line-267"></a> <span class='hs-varid'>sequent</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-268"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-269"></a> <span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bool</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <a name="line-270"></a> <span class='hs-conid'>Inv</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift1</span> <span class='hs-conid'>Inv</span> <span class='hs-varid'>x</span> <a name="line-271"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <a name="line-272"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <a name="line-273"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <a name="line-274"></a> <a name="line-275"></a> <span class='hs-conid'>Int</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <a name="line-276"></a> <span class='hs-conid'>Neg</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift1</span> <span class='hs-conid'>Neg</span> <span class='hs-varid'>x</span> <a name="line-277"></a> <span class='hs-conid'>Div</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>Div</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-278"></a> <span class='hs-conid'>Mod</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>Mod</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-279"></a> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <a name="line-280"></a> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <a name="line-281"></a> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-282"></a> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>liftl</span> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <a name="line-283"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift3</span> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <a name="line-284"></a> <a name="line-285"></a> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-286"></a> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift2</span> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <a name="line-287"></a> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>VarBool</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <a name="line-288"></a> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>lift0</span> <span class='hs-layout'>(</span><span class='hs-conid'>VarInt</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span> <a name="line-289"></a> <span class='hs-keyword'>where</span> <a name="line-290"></a> <span class='hs-varid'>lift0</span> <span class='hs-varid'>op</span> <span class='hs-keyglyph'>=</span> <a name="line-291"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>return</span> <span class='hs-varid'>op</span> <a name="line-292"></a> <a name="line-293"></a> <span class='hs-varid'>lift1</span> <span class='hs-varid'>op</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <a name="line-294"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>x</span> <a name="line-295"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>op</span> <span class='hs-varid'>x'</span><span class='hs-layout'>)</span> <a name="line-296"></a> <a name="line-297"></a> <span class='hs-varid'>lift2</span> <span class='hs-varid'>op</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>=</span> <a name="line-298"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>x</span> <a name="line-299"></a> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>y</span> <a name="line-300"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>op</span> <span class='hs-varid'>x'</span> <span class='hs-varid'>y'</span><span class='hs-layout'>)</span> <a name="line-301"></a> <a name="line-302"></a> <span class='hs-varid'>lift3</span> <span class='hs-varid'>op</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <a name="line-303"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>x</span> <a name="line-304"></a> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>y</span> <a name="line-305"></a> <span class='hs-varid'>z'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>z</span> <a name="line-306"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>op</span> <span class='hs-varid'>x'</span> <span class='hs-varid'>y'</span> <span class='hs-varid'>z'</span><span class='hs-layout'>)</span> <a name="line-307"></a> <a name="line-308"></a> <span class='hs-varid'>liftl</span> <span class='hs-varid'>op</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <a name="line-309"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>xs'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>sequence</span> <span class='hs-varid'>xs</span> <a name="line-310"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>op</span> <span class='hs-varid'>xs'</span><span class='hs-layout'>)</span> <a name="line-311"></a> <a name="line-312"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-313"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-314"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-varid'>s</span> <a name="line-315"></a> <a name="line-316"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-conid'>Symbol</span> <span class='hs-keyword'>where</span> <a name="line-317"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-varid'>sym</span> <span class='hs-keyglyph'>=</span> <a name="line-318"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>unsymbol</span> <span class='hs-varid'>sym</span><span class='hs-layout'>)</span> <a name="line-319"></a> <a name="line-320"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Show</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Show</span> <span class='hs-layout'>(</span><span class='hs-conid'>S</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span> <a name="line-321"></a> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-322"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span> <a name="line-323"></a> <span class='hs-conid'>Bool</span> <span class='hs-conid'>True</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"high"</span> <a name="line-324"></a> <span class='hs-conid'>Bool</span> <span class='hs-conid'>False</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"low"</span> <a name="line-325"></a> <a name="line-326"></a> <span class='hs-conid'>Inv</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"inv"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-keyglyph'>]</span> <a name="line-327"></a> <span class='hs-conid'>And</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"andl"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-varid'>xs</span> <a name="line-328"></a> <span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"orl"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-varid'>xs</span> <a name="line-329"></a> <span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"xorl"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-varid'>xs</span> <a name="line-330"></a> <a name="line-331"></a> <span class='hs-conid'>Int</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-varid'>i</span> <a name="line-332"></a> <span class='hs-conid'>Neg</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"-"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showsPrec</span> <span class='hs-varid'>n</span> <span class='hs-varid'>x</span> <a name="line-333"></a> <span class='hs-conid'>Div</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"idiv"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-334"></a> <span class='hs-conid'>Mod</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"imod"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-335"></a> <span class='hs-conid'>Plus</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"plusl"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-varid'>xs</span> <a name="line-336"></a> <span class='hs-conid'>Times</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"timesl"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-varid'>xs</span> <a name="line-337"></a> <span class='hs-conid'>Gte</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"gte"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-338"></a> <span class='hs-conid'>Equal</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"equall"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-varid'>xs</span> <a name="line-339"></a> <span class='hs-conid'>If</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"ifThenElse"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</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-varid'>z</span><span class='hs-keyglyph'>]</span> <a name="line-340"></a> <a name="line-341"></a> <span class='hs-conid'>DelayBool</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"delay"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-342"></a> <span class='hs-conid'>DelayInt</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"delay"</span> <span class='hs-varop'>.</span> <span class='hs-varid'>showList</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-keyglyph'>]</span> <a name="line-343"></a> <a name="line-344"></a> <span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-varid'>s</span> <a name="line-345"></a> <span class='hs-conid'>VarInt</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-varid'>s</span> <a name="line-346"></a> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>showString</span> <span class='hs-str'>"<<symbol>>"</span> <a name="line-347"></a> <a name="line-348"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-349"></a><span class='hs-comment'>-- the end.</span> <a name="line-350"></a> </pre></body> </html>
