Sophie

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<pre><a name="line-1"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-2"></a><span class='hs-comment'>-- |</span>
<a name="line-3"></a><span class='hs-comment'>-- Module      :  ForSyDe.Shallow.DomainInterfaces</span>
<a name="line-4"></a><span class='hs-comment'>-- Copyright   :  (c) SAM Group, KTH/ICT/ECS 2007-2008</span>
<a name="line-5"></a><span class='hs-comment'>-- License     :  BSD-style (see the file LICENSE)</span>
<a name="line-6"></a><span class='hs-comment'>-- </span>
<a name="line-7"></a><span class='hs-comment'>-- Maintainer  :  forsyde-dev@ict.kth.se</span>
<a name="line-8"></a><span class='hs-comment'>-- Stability   :  experimental</span>
<a name="line-9"></a><span class='hs-comment'>-- Portability :  portable</span>
<a name="line-10"></a><span class='hs-comment'>--</span>
<a name="line-11"></a><span class='hs-comment'>-- This module defines domain interface constructors for the multi-rate computational </span>
<a name="line-12"></a><span class='hs-comment'>-- model.</span>
<a name="line-13"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-14"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>ForSyDe</span><span class='hs-varop'>.</span><span class='hs-conid'>Shallow</span><span class='hs-varop'>.</span><span class='hs-conid'>DomainInterfaces</span><span class='hs-layout'>(</span><span class='hs-varid'>downDI</span><span class='hs-layout'>,</span> <span class='hs-varid'>upDI</span><span class='hs-layout'>,</span> <span class='hs-varid'>par2serxDI</span><span class='hs-layout'>,</span> <span class='hs-varid'>ser2parxDI</span><span class='hs-layout'>,</span> 
<a name="line-15"></a>			<span class='hs-varid'>par2ser2DI</span><span class='hs-layout'>,</span> <span class='hs-varid'>par2ser3DI</span><span class='hs-layout'>,</span> <span class='hs-varid'>par2ser4DI</span><span class='hs-layout'>,</span> 
<a name="line-16"></a>			<span class='hs-varid'>ser2par2DI</span><span class='hs-layout'>,</span> <span class='hs-varid'>ser2par3DI</span><span class='hs-layout'>,</span> <span class='hs-varid'>ser2par4DI</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-17"></a>
<a name="line-18"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>ForSyDe</span><span class='hs-varop'>.</span><span class='hs-conid'>Shallow</span><span class='hs-varop'>.</span><span class='hs-conid'>CoreLib</span>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>ForSyDe</span><span class='hs-varop'>.</span><span class='hs-conid'>Shallow</span><span class='hs-varop'>.</span><span class='hs-conid'>SynchronousLib</span>
<a name="line-20"></a>
<a name="line-21"></a>
<a name="line-22"></a><a name="downDI"></a><span class='hs-comment'>-- | The domain interface constructor 'downDI' takes a parameter 'k' and downsamples an input signal.</span>
<a name="line-23"></a><span class='hs-definition'>downDI</span>     <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span>
<a name="line-24"></a>
<a name="line-25"></a><a name="upDI"></a><span class='hs-comment'>-- | The domain interface constructors 'upDI' takes a parameter 'k' and upsamples an input signal.</span>
<a name="line-26"></a><span class='hs-definition'>upDI</span>       <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-27"></a>
<a name="line-28"></a><a name="par2ser2DI"></a><span class='hs-comment'>-- | The domain interface constructor 'par2ser2DI' converts two parallel signals into one signal.</span>
<a name="line-29"></a><span class='hs-definition'>par2ser2DI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span>
<a name="line-30"></a>
<a name="line-31"></a><a name="par2ser3DI"></a><span class='hs-comment'>-- | The domain interface constructor 'par2ser3DI' converts three parallel signals into one signal</span>
<a name="line-32"></a><span class='hs-definition'>par2ser3DI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span>
<a name="line-33"></a>
<a name="line-34"></a><a name="par2ser4DI"></a><span class='hs-comment'>-- | The domain interface constructor 'par2ser4DI' converts four parallel signals into one signal</span>
<a name="line-35"></a><span class='hs-definition'>par2ser4DI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> 
<a name="line-36"></a>	   <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span>
<a name="line-37"></a>
<a name="line-38"></a>
<a name="line-39"></a><a name="par2serxDI"></a><span class='hs-comment'>-- | The domain interface constructor 'par2serxDI' converts n parallel signals into one signal.</span>
<a name="line-40"></a><span class='hs-definition'>par2serxDI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Vector</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'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span>
<a name="line-41"></a>
<a name="line-42"></a><a name="ser2par2DI"></a><span class='hs-comment'>-- | The domain interface constructor 'ser2par2DI' converts one signal into two parallel signals.</span>
<a name="line-43"></a><span class='hs-definition'>ser2par2DI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</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-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-44"></a>
<a name="line-45"></a><a name="ser2par3DI"></a><span class='hs-comment'>-- | The domain interface constructor 'ser2par3DI' converts one signal into three parallel signals.</span>
<a name="line-46"></a><span class='hs-definition'>ser2par3DI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</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-layout'>(</span><span class='hs-conid'>AbstExt</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-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-47"></a>
<a name="line-48"></a><a name="ser2par4DI"></a><span class='hs-comment'>-- | The domain interface constructor 'ser2par4DI' converts one signal into four parallel signals.</span>
<a name="line-49"></a><span class='hs-definition'>ser2par4DI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> 
<a name="line-50"></a>	   <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</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-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> 
<a name="line-51"></a>               <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</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-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-52"></a>
<a name="line-53"></a><a name="ser2parxDI"></a><span class='hs-comment'>-- | The domain interface constructors 'ser2parxDI' converts one signal into n parallel signals.</span>
<a name="line-54"></a><span class='hs-definition'>ser2parxDI</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> 
<a name="line-55"></a>				  <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Vector</span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-56"></a>
<a name="line-57"></a><span class='hs-comment'>-- Implementation</span>
<a name="line-58"></a>
<a name="line-59"></a><span class='hs-definition'>downDI</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>down1</span> <span class='hs-varid'>n</span> <span class='hs-num'>1</span> <span class='hs-varid'>xs</span> 
<a name="line-60"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>down1</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span>   <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-61"></a>	<span class='hs-varid'>down1</span> <span class='hs-num'>1</span> <span class='hs-num'>1</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-varid'>x</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>down1</span> <span class='hs-num'>1</span> <span class='hs-num'>1</span> <span class='hs-varid'>xs</span>
<a name="line-62"></a>	<span class='hs-varid'>down1</span> <span class='hs-varid'>n</span> <span class='hs-num'>1</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-varid'>x</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>down1</span> <span class='hs-varid'>n</span> <span class='hs-num'>2</span> <span class='hs-varid'>xs</span>
<a name="line-63"></a>	<span class='hs-varid'>down1</span> <span class='hs-varid'>n</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</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-keyword'>if</span> <span class='hs-varid'>m</span> <span class='hs-varop'>==</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>then</span>
<a name="line-64"></a>			       <span class='hs-varid'>down1</span> <span class='hs-varid'>n</span> <span class='hs-num'>1</span> <span class='hs-varid'>xs</span>
<a name="line-65"></a>			    <span class='hs-keyword'>else</span>
<a name="line-66"></a>			       <span class='hs-varid'>down1</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>m</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> 
<a name="line-67"></a>
<a name="line-68"></a><span class='hs-definition'>upDI</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span>   <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-69"></a><span class='hs-definition'>upDI</span> <span class='hs-varid'>n</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-layout'>(</span><span class='hs-conid'>Prst</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>copyS</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-conid'>Abst</span><span class='hs-layout'>)</span> <span class='hs-varop'>+-+</span> <span class='hs-varid'>upDI</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-70"></a>
<a name="line-71"></a><span class='hs-definition'>par2ser2DI</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>par2ser2DI'</span> <span class='hs-layout'>(</span><span class='hs-varid'>zipSY</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span>
<a name="line-72"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>par2ser2DI'</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-73"></a>	<span class='hs-varid'>par2ser2DI'</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-conop'>:-</span><span class='hs-varid'>xys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span><span class='hs-conop'>:-</span><span class='hs-varid'>y</span><span class='hs-conop'>:-</span><span class='hs-varid'>par2ser2DI'</span> <span class='hs-varid'>xys</span>
<a name="line-74"></a>
<a name="line-75"></a><span class='hs-definition'>par2ser3DI</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-varid'>zs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>par2ser3DI'</span> <span class='hs-layout'>(</span><span class='hs-varid'>zip3SY</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span>
<a name="line-76"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>par2ser3DI'</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-77"></a>	<span class='hs-varid'>par2ser3DI'</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span><span class='hs-conop'>:-</span><span class='hs-varid'>xyzs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span><span class='hs-conop'>:-</span> <span class='hs-varid'>y</span> <span class='hs-conop'>:-</span><span class='hs-varid'>z</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>par2ser3DI'</span> <span class='hs-varid'>xyzs</span>
<a name="line-78"></a>
<a name="line-79"></a><span class='hs-definition'>par2ser4DI</span> <span class='hs-varid'>ws</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-varid'>zs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>par2ser4DI'</span> <span class='hs-layout'>(</span><span class='hs-varid'>zip4SY</span> <span class='hs-varid'>ws</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span>
<a name="line-80"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>par2ser4DI'</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-81"></a>        <span class='hs-varid'>par2ser4DI'</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span><span class='hs-conop'>:-</span><span class='hs-varid'>wxyzs</span><span class='hs-layout'>)</span> 
<a name="line-82"></a>            <span class='hs-keyglyph'>=</span> <span class='hs-varid'>w</span><span class='hs-conop'>:-</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'>z</span><span class='hs-conop'>:-</span> <span class='hs-varid'>par2ser4DI'</span> <span class='hs-varid'>wxyzs</span>
<a name="line-83"></a>
<a name="line-84"></a><span class='hs-definition'>ser2par2DI</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipSY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>group2SY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>delaynSY</span> <span class='hs-conid'>Abst</span> <span class='hs-num'>2</span> <span class='hs-varop'>.</span> <span class='hs-varid'>mapSY</span> <span class='hs-varid'>abstExt</span>
<a name="line-85"></a>
<a name="line-86"></a><span class='hs-definition'>ser2par3DI</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip3SY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>group3SY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>delaynSY</span> <span class='hs-conid'>Abst</span> <span class='hs-num'>3</span> <span class='hs-varop'>.</span> <span class='hs-varid'>mapSY</span> <span class='hs-varid'>abstExt</span>
<a name="line-87"></a>
<a name="line-88"></a><span class='hs-definition'>ser2par4DI</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzip4SY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>group4SY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>delaynSY</span> <span class='hs-conid'>Abst</span> <span class='hs-num'>4</span> <span class='hs-varop'>.</span> <span class='hs-varid'>mapSY</span> <span class='hs-varid'>abstExt</span>
<a name="line-89"></a>
<a name="line-90"></a>
<a name="line-91"></a><span class='hs-definition'>par2serxDI</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>par2serxDI'</span> <span class='hs-varop'>.</span> <span class='hs-varid'>zipxSY</span> 
<a name="line-92"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>par2serxDI'</span> <span class='hs-conid'>NullS</span>    <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-93"></a>	<span class='hs-varid'>par2serxDI'</span> <span class='hs-layout'>(</span><span class='hs-varid'>xv</span><span class='hs-conop'>:-</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>signal</span> <span class='hs-varop'>.</span> <span class='hs-varid'>fromVector</span><span class='hs-layout'>)</span> <span class='hs-varid'>xv</span> 
<a name="line-94"></a>			          <span class='hs-varop'>+-+</span> <span class='hs-varid'>par2serxDI'</span> <span class='hs-varid'>xs</span> 
<a name="line-95"></a>
<a name="line-96"></a><span class='hs-definition'>ser2parxDI</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipxSY</span> <span class='hs-varop'>.</span> <span class='hs-varid'>delaySY</span> <span class='hs-layout'>(</span><span class='hs-varid'>copyV</span> <span class='hs-varid'>n</span> <span class='hs-conid'>Abst</span><span class='hs-layout'>)</span> 
<a name="line-97"></a>			<span class='hs-varop'>.</span> <span class='hs-varid'>filterAbstDI</span> <span class='hs-varop'>.</span> <span class='hs-varid'>group</span> <span class='hs-varid'>n</span>
<a name="line-98"></a>
<a name="line-99"></a><a name="group2SY"></a><span class='hs-definition'>group2SY</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-100"></a><span class='hs-definition'>group2SY</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-101"></a><span class='hs-definition'>group2SY</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-102"></a><span class='hs-definition'>group2SY</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'>xys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>group2SY</span> <span class='hs-varid'>xys</span>
<a name="line-103"></a>
<a name="line-104"></a><a name="group3SY"></a><span class='hs-definition'>group3SY</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-105"></a><span class='hs-definition'>group3SY</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-106"></a><span class='hs-definition'>group3SY</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-107"></a><span class='hs-definition'>group3SY</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-108"></a><span class='hs-definition'>group3SY</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'>z</span><span class='hs-conop'>:-</span><span class='hs-varid'>xyzs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>group3SY</span> <span class='hs-varid'>xyzs</span>
<a name="line-109"></a>
<a name="line-110"></a><a name="group4SY"></a><span class='hs-definition'>group4SY</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>,</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span>
<a name="line-111"></a><span class='hs-definition'>group4SY</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-112"></a><span class='hs-definition'>group4SY</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-113"></a><span class='hs-definition'>group4SY</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-114"></a><span class='hs-definition'>group4SY</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-keyword'>_</span><span class='hs-conop'>:-</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-115"></a><span class='hs-definition'>group4SY</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-conop'>:-</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'>z</span><span class='hs-conop'>:-</span><span class='hs-varid'>wxyzs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span> <span class='hs-varid'>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-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>group4SY</span> <span class='hs-varid'>wxyzs</span> 
<a name="line-116"></a>
<a name="line-117"></a>
<a name="line-118"></a><a name="filterAbstDI"></a><span class='hs-definition'>filterAbstDI</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span>
<a name="line-119"></a><span class='hs-definition'>filterAbstDI</span> <span class='hs-conid'>NullS</span>          <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-120"></a><span class='hs-definition'>filterAbstDI</span> <span class='hs-layout'>(</span><span class='hs-conid'>Abst</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'>filterAbstDI</span> <span class='hs-varid'>xs</span>
<a name="line-121"></a><span class='hs-definition'>filterAbstDI</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Prst</span> <span class='hs-varid'>x</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> <span class='hs-varid'>x</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>filterAbstDI</span> <span class='hs-varid'>xs</span>
<a name="line-122"></a>
<a name="line-123"></a><a name="group"></a><span class='hs-definition'>group</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a1</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>AbstExt</span> <span class='hs-layout'>(</span><span class='hs-conid'>Vector</span> <span class='hs-varid'>a1</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-124"></a><span class='hs-definition'>group</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapSY</span> <span class='hs-layout'>(</span><span class='hs-varid'>output</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>scanlSY</span> <span class='hs-layout'>(</span><span class='hs-varid'>addElement</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>  <span class='hs-layout'>(</span><span class='hs-conid'>NullV</span><span class='hs-layout'>,</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-125"></a>	       <span class='hs-keyword'>where</span> <span class='hs-varid'>addElement</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>vs</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>&lt;</span> <span class='hs-varid'>m</span>  <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>vs</span> <span class='hs-varop'>&lt;:</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-126"></a>      				            <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>==</span> <span class='hs-varid'>m</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>unitV</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-127"></a>                                            <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"Vector of wrong size"</span>
<a name="line-128"></a> 		     <span class='hs-varid'>output</span> <span class='hs-varid'>m</span> <span class='hs-layout'>(</span><span class='hs-varid'>vs</span><span class='hs-layout'>,</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>m</span> <span class='hs-varop'>==</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prst</span> <span class='hs-varid'>vs</span>
<a name="line-129"></a>				      <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Abst</span>
<a name="line-130"></a>
</pre></body>
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