<?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/ConstructiveAnalysis.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'>ConstructiveAnalysis</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'>Signal</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'>Operators</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><span class='hs-keyword'>import</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>Generic</span> <a name="line-7"></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-8"></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-9"></a> <a name="line-10"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Lava</span><span class='hs-varop'>.</span><span class='hs-conid'>MyST</span> <a name="line-11"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>STRef</span> <a name="line-12"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>newSTRef</span> <a name="line-13"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>readSTRef</span> <a name="line-14"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>writeSTRef</span> <a name="line-15"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>runST</span> <a name="line-16"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>fixST</span> <a name="line-17"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>unsafeInterleaveST</span> <a name="line-18"></a> <span class='hs-layout'>)</span> <a name="line-19"></a> <a name="line-20"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>List</span> <a name="line-21"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>isPrefixOf</span> <a name="line-22"></a> <span class='hs-layout'>)</span> <a name="line-23"></a> <a name="line-24"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-25"></a><span class='hs-comment'>-- constructive analysis</span> <a name="line-26"></a> <a name="line-27"></a><a name="constructive"></a><span class='hs-definition'>constructive</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Generic</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Generic</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'>a</span> <span class='hs-keyglyph'>-></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'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-conid'>Bool</span><span class='hs-layout'>)</span> <a name="line-28"></a><span class='hs-definition'>constructive</span> <span class='hs-varid'>circ</span> <span class='hs-varid'>inp</span> <span class='hs-keyglyph'>=</span> <a name="line-29"></a> <span class='hs-varid'>runST</span> <a name="line-30"></a> <span class='hs-layout'>(</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>defined</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>newSTRef</span> <span class='hs-conid'>[]</span> <a name="line-31"></a> <span class='hs-varid'>table</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>tableST</span> <a name="line-32"></a> <a name="line-33"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>gather</span> <span class='hs-layout'>(</span><span class='hs-conid'>Symbol</span> <span class='hs-varid'>sym</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-34"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>ms</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>findST</span> <span class='hs-varid'>table</span> <span class='hs-varid'>sym</span> <a name="line-35"></a> <span class='hs-keyword'>case</span> <span class='hs-varid'>ms</span> <span class='hs-keyword'>of</span> <a name="line-36"></a> <span class='hs-conid'>Just</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyword'>do</span> <span class='hs-varid'>return</span> <span class='hs-varid'>s</span> <a name="line-37"></a> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>fixST</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <a name="line-38"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>extendST</span> <span class='hs-varid'>table</span> <span class='hs-varid'>sym</span> <span class='hs-varid'>s</span> <a name="line-39"></a> <span class='hs-varid'>ss</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>mmap</span> <span class='hs-layout'>(</span><span class='hs-varid'>unsafeInterleaveST</span> <span class='hs-varop'>.</span> <span class='hs-varid'>gather</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>deref</span> <span class='hs-varid'>sym</span><span class='hs-layout'>)</span> <a name="line-40"></a> <span class='hs-varid'>define</span> <span class='hs-varid'>ss</span> <a name="line-41"></a> <span class='hs-layout'>)</span> <a name="line-42"></a> <a name="line-43"></a> <span class='hs-varid'>define</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> <a name="line-44"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>bool</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-varid'>bool</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-45"></a> <a name="line-46"></a> <span class='hs-varid'>define</span> <span class='hs-layout'>(</span><span class='hs-conid'>DelayBool</span> <span class='hs-keyglyph'>~</span><span class='hs-layout'>(</span><span class='hs-varid'>inipos</span><span class='hs-layout'>,</span><span class='hs-varid'>inineg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>~</span><span class='hs-layout'>(</span><span class='hs-varid'>nextpos</span><span class='hs-layout'>,</span><span class='hs-varid'>nextneg</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-47"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>respos</span><span class='hs-layout'>,</span> <span class='hs-varid'>inv</span> <span class='hs-varid'>respos</span><span class='hs-layout'>)</span> <a name="line-48"></a> <span class='hs-keyword'>where</span> <a name="line-49"></a> <span class='hs-varid'>respos</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>delay</span> <span class='hs-varid'>inipos</span> <span class='hs-varid'>nextpos</span> <a name="line-50"></a> <a name="line-51"></a> <span class='hs-varid'>define</span> <span class='hs-layout'>(</span><span class='hs-conid'>VarBool</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-52"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>respos</span><span class='hs-layout'>,</span> <span class='hs-varid'>inv</span> <span class='hs-varid'>respos</span><span class='hs-layout'>)</span> <a name="line-53"></a> <span class='hs-keyword'>where</span> <a name="line-54"></a> <span class='hs-varid'>respos</span> <a name="line-55"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>tag</span> <span class='hs-varop'>`isPrefixOf`</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>pickSymbol</span> <span class='hs-layout'>(</span><span class='hs-varid'>drop</span> <span class='hs-layout'>(</span><span class='hs-varid'>length</span> <span class='hs-varid'>tag</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>inp</span><span class='hs-layout'>)</span> <a name="line-56"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>var</span> <span class='hs-varid'>s</span> <a name="line-57"></a> <a name="line-58"></a> <span class='hs-varid'>define</span> <span class='hs-layout'>(</span><span class='hs-conid'>Inv</span> <span class='hs-keyglyph'>~</span><span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-59"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>result</span> <span class='hs-layout'>(</span> <span class='hs-varid'>andl</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>xneg</span><span class='hs-keyglyph'>]</span> <a name="line-60"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>orl</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>xpos</span><span class='hs-keyglyph'>]</span> <a name="line-61"></a> <span class='hs-layout'>)</span> <a name="line-62"></a> <a name="line-63"></a> <span class='hs-varid'>define</span> <span class='hs-layout'>(</span><span class='hs-conid'>And</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-64"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>result</span> <span class='hs-layout'>(</span> <span class='hs-varid'>andl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xpos</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-65"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>orl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xneg</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-66"></a> <span class='hs-layout'>)</span> <a name="line-67"></a> <a name="line-68"></a> <span class='hs-varid'>define</span> <span class='hs-layout'>(</span><span class='hs-conid'>Or</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-69"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>result</span> <span class='hs-layout'>(</span> <span class='hs-varid'>orl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xpos</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-70"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>andl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xneg</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-71"></a> <span class='hs-layout'>)</span> <a name="line-72"></a> <a name="line-73"></a> <span class='hs-varid'>define</span> <span class='hs-layout'>(</span><span class='hs-conid'>Xor</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-74"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>result</span> <span class='hs-layout'>(</span> <span class='hs-varid'>xorpos</span> <span class='hs-varid'>xs</span> <a name="line-75"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>xorneg</span> <span class='hs-varid'>xs</span> <a name="line-76"></a> <span class='hs-layout'>)</span> <a name="line-77"></a> <span class='hs-keyword'>where</span> <a name="line-78"></a> <span class='hs-varid'>xorpos</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>low</span> <a name="line-79"></a> <span class='hs-varid'>xorpos</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>xpos</span> <a name="line-80"></a> <span class='hs-varid'>xorpos</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-81"></a> <span class='hs-varid'>or2</span> <span class='hs-layout'>(</span> <span class='hs-varid'>andl</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span> <span class='hs-conop'>:</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xneg</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <a name="line-82"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>andl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xneg</span><span class='hs-layout'>,</span> <span class='hs-varid'>xorpos</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-83"></a> <span class='hs-layout'>)</span> <a name="line-84"></a> <a name="line-85"></a> <span class='hs-varid'>xorneg</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <a name="line-86"></a> <span class='hs-varid'>or2</span> <span class='hs-layout'>(</span> <span class='hs-varid'>andl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xneg</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-87"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>orl</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>and2</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>ypos</span><span class='hs-layout'>)</span> <a name="line-88"></a> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>ypos</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>pairs</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>xpos</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>xpos</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <a name="line-89"></a> <span class='hs-keyglyph'>]</span> <a name="line-90"></a> <span class='hs-layout'>)</span> <a name="line-91"></a> <a name="line-92"></a> <span class='hs-varid'>pairs</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span> <a name="line-93"></a> <span class='hs-varid'>pairs</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</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-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-keyglyph'>|</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span> <span class='hs-varid'>pairs</span> <span class='hs-varid'>xs</span> <a name="line-94"></a> <a name="line-95"></a> <span class='hs-varid'>define</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <a name="line-96"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>wrong</span> <span class='hs-conid'>NoArithmetic</span> <a name="line-97"></a> <a name="line-98"></a> <span class='hs-varid'>result</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-99"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>defs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>readSTRef</span> <span class='hs-varid'>defined</span> <a name="line-100"></a> <span class='hs-varid'>writeSTRef</span> <span class='hs-varid'>defined</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>xpos</span> <span class='hs-varop'><#></span> <span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>defs</span><span class='hs-layout'>)</span> <a name="line-101"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>xpos</span><span class='hs-layout'>,</span><span class='hs-varid'>xneg</span><span class='hs-layout'>)</span> <a name="line-102"></a> <a name="line-103"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>mmap</span> <span class='hs-varid'>gather</span> <span class='hs-layout'>(</span><span class='hs-varid'>struct</span> <span class='hs-layout'>(</span><span class='hs-varid'>circ</span> <span class='hs-layout'>(</span><span class='hs-varid'>symbolize</span> <span class='hs-varid'>tag</span> <span class='hs-varid'>inp</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-104"></a> <a name="line-105"></a> <span class='hs-varid'>defs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>readSTRef</span> <span class='hs-varid'>defined</span> <a name="line-106"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>andl</span> <span class='hs-varid'>defs</span><span class='hs-layout'>)</span> <a name="line-107"></a> <span class='hs-layout'>)</span> <a name="line-108"></a> <span class='hs-keyword'>where</span> <a name="line-109"></a> <span class='hs-varid'>tag</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"#constr#"</span> <a name="line-110"></a> <a name="line-111"></a><span class='hs-comment'>----------------------------------------------------------------</span> <a name="line-112"></a><span class='hs-comment'>-- the end.</span> <a name="line-113"></a> </pre></body> </html>
