<?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>src/ForSyDe/Shallow/UntimedLib.hs</title> <link type='text/css' rel='stylesheet' href='hscolour.css' /> </head> <body> <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.UntimedLib</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'>-- The untimed library defines process constructors and processes for</span> <a name="line-12"></a><span class='hs-comment'>-- the untimed computational model. A process constructor is a higher</span> <a name="line-13"></a><span class='hs-comment'>-- order function which together with combinational function(s) and</span> <a name="line-14"></a><span class='hs-comment'>-- values as arguments constructs a process.</span> <a name="line-15"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span> <a name="line-16"></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'>UntimedLib</span><span class='hs-layout'>(</span> <a name="line-17"></a> <span class='hs-comment'>-- * Combinational process constructors</span> <a name="line-18"></a> <span class='hs-comment'>-- | Combinational process constructors are used for processes that do not have a state.</span> <a name="line-19"></a> <span class='hs-varid'>combU</span><span class='hs-layout'>,</span> <span class='hs-varid'>comb2U</span><span class='hs-layout'>,</span> <span class='hs-varid'>comb2UC</span><span class='hs-layout'>,</span> <a name="line-20"></a> <span class='hs-varid'>mapU</span><span class='hs-layout'>,</span> <a name="line-21"></a> <span class='hs-comment'>-- * Sequential process constructors</span> <a name="line-22"></a> <span class='hs-comment'>-- | Sequential process constructors are used for processes that have a state. One of the input parameters is the initial state.</span> <a name="line-23"></a> <span class='hs-varid'>scanU</span><span class='hs-layout'>,</span> <span class='hs-varid'>mealyU</span><span class='hs-layout'>,</span> <span class='hs-varid'>mooreU</span><span class='hs-layout'>,</span> <span class='hs-varid'>sourceU</span><span class='hs-layout'>,</span> <span class='hs-varid'>sinkU</span><span class='hs-layout'>,</span> <span class='hs-varid'>initU</span><span class='hs-layout'>,</span> <a name="line-24"></a> <span class='hs-comment'>-- * Zipping and unzipping signals</span> <a name="line-25"></a> <span class='hs-varid'>zipU</span><span class='hs-layout'>,</span> <span class='hs-varid'>zipUs</span><span class='hs-layout'>,</span> <a name="line-26"></a> <span class='hs-varid'>zipWithU</span><span class='hs-layout'>,</span> <span class='hs-varid'>zipWith3U</span><span class='hs-layout'>,</span> <span class='hs-varid'>zipWith4U</span><span class='hs-layout'>,</span> <a name="line-27"></a> <span class='hs-varid'>unzipU</span> <a name="line-28"></a> <span class='hs-layout'>)</span> <a name="line-29"></a><span class='hs-keyword'>where</span> <a name="line-30"></a> <a name="line-31"></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-32"></a> <a name="line-33"></a><span class='hs-comment'>----------------------------------------</span> <a name="line-34"></a><span class='hs-comment'>-- --</span> <a name="line-35"></a><span class='hs-comment'>-- COMBINATIONAL PROCESS CONSTRUCTORS --</span> <a name="line-36"></a><span class='hs-comment'>-- --</span> <a name="line-37"></a><span class='hs-comment'>----------------------------------------</span> <a name="line-38"></a> <a name="line-39"></a><a name="combU"></a><span class='hs-definition'>combU</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</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-varid'>b</span><span class='hs-keyglyph'>]</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-40"></a><span class='hs-definition'>combU</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>mapU</span> <a name="line-41"></a> <a name="line-42"></a><a name="comb2U"></a><span class='hs-definition'>comb2U</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</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-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</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-43"></a><span class='hs-definition'>comb2U</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWithU</span> <a name="line-44"></a> <a name="line-45"></a><a name="comb2UC"></a><span class='hs-definition'>comb2UC</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</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-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</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-46"></a><span class='hs-definition'>comb2UC</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zipWithUC</span> <a name="line-47"></a> <a name="line-48"></a><a name="mapU"></a><span class='hs-comment'>-- | The first parameter of 'mapU' is a constant integer defining the number of tokens consumed in every evaluation cycle. The second argument is a function on lists of the input type and returning a list of the output type. For instance,</span> <a name="line-49"></a><span class='hs-comment'>--</span> <a name="line-50"></a><span class='hs-comment'>-- > r2 = mapU 1 f</span> <a name="line-51"></a><span class='hs-comment'>-- > where f :: [Int] -> [Int]</span> <a name="line-52"></a><span class='hs-comment'>-- > f [x] = [2*x]</span> <a name="line-53"></a><span class='hs-comment'>--</span> <a name="line-54"></a><span class='hs-comment'>-- defines a process r2 which consumes one token in each evaluation cycle and multiplies it by two.</span> <a name="line-55"></a><span class='hs-definition'>mapU</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</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-varid'>b</span><span class='hs-keyglyph'>]</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-56"></a><span class='hs-definition'>mapU</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-57"></a><span class='hs-definition'>mapU</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'><</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-58"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <a name="line-59"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>+-+</span> <span class='hs-layout'>(</span><span class='hs-varid'>mapU</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-60"></a> <a name="line-61"></a><span class='hs-comment'>--mapUC :: Int -> ([a] -> b) -> Signal a -> Signal b</span> <a name="line-62"></a><span class='hs-comment'>--mapUC _ _ NullS = NullS</span> <a name="line-63"></a><span class='hs-comment'>--mapUC c f xs | lengthS (takeS c xs) < c = NullS</span> <a name="line-64"></a><span class='hs-comment'>-- | otherwise </span> <a name="line-65"></a><span class='hs-comment'>-- = signal [(f (takeL c xs))] +-+ (mapUC c f (dropS c xs))</span> <a name="line-66"></a> <a name="line-67"></a><span class='hs-comment'>---------------------------</span> <a name="line-68"></a><span class='hs-comment'>-- --</span> <a name="line-69"></a><span class='hs-comment'>-- SYNCHRONOUS PROCESSES --</span> <a name="line-70"></a><span class='hs-comment'>-- --</span> <a name="line-71"></a><span class='hs-comment'>---------------------------</span> <a name="line-72"></a> <a name="line-73"></a><a name="scanU"></a><span class='hs-comment'>-- | 'scanU' has an internal state which is visible at the output. The first argument is a function \'gamma\' which, given the state returns the number of tokens consumed next. The second argument is the next state function and the third is the initial state.</span> <a name="line-74"></a><span class='hs-definition'>scanU</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>-></span><span class='hs-conid'>Int</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>-></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-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</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-75"></a><span class='hs-definition'>scanU</span> <span class='hs-keyword'>_</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-76"></a><span class='hs-definition'>scanU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <span class='hs-varid'>xs</span> <a name="line-77"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>length</span> <span class='hs-keyword'>as</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>newstate</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>scanU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>newstate</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-78"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-79"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>state</span> <a name="line-80"></a> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>takeL</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span> <a name="line-81"></a> <span class='hs-varid'>newstate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <span class='hs-keyword'>as</span> <a name="line-82"></a> <a name="line-83"></a> <a name="line-84"></a> <a name="line-85"></a><a name="mooreU"></a><span class='hs-comment'>-- | The process constructor 'mooreU' creates a state machine of Moore type. In addition to the next state function they also have an output encoding function. The output depends directly on the internal state.</span> <a name="line-86"></a><span class='hs-definition'>mooreU</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>-></span><span class='hs-conid'>Int</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>-></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-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</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'>c</span> <a name="line-87"></a><span class='hs-definition'>mooreU</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</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-88"></a><span class='hs-definition'>mooreU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>state</span> <span class='hs-varid'>xs</span> <a name="line-89"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>length</span> <span class='hs-keyword'>as</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>signal</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span> <span class='hs-varop'>+-+</span> <span class='hs-varid'>mooreU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>newstate</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-90"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-91"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>state</span> <a name="line-92"></a> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>takeL</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span> <a name="line-93"></a> <span class='hs-varid'>newstate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <span class='hs-keyword'>as</span> <a name="line-94"></a> <span class='hs-varid'>bs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>state</span> <a name="line-95"></a> <a name="line-96"></a><a name="mealyU"></a><span class='hs-comment'>-- | The process constructor 'mealyU' creates a state machine of Moore type. In addition to the next state function they also have an output encoding function. The output depends directly on the internal state.</span> <a name="line-97"></a><span class='hs-definition'>mealyU</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>-></span><span class='hs-conid'>Int</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>-></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-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></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-varid'>c</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span> <a name="line-98"></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'>c</span> <a name="line-99"></a><span class='hs-definition'>mealyU</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</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-100"></a><span class='hs-definition'>mealyU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>state</span> <span class='hs-varid'>xs</span> <a name="line-101"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>length</span> <span class='hs-keyword'>as</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>signal</span> <span class='hs-varid'>bs</span><span class='hs-layout'>)</span> <a name="line-102"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>mealyU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>newstate</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-103"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-104"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>state</span> <a name="line-105"></a> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>takeL</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span> <a name="line-106"></a> <span class='hs-varid'>newstate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <span class='hs-keyword'>as</span> <a name="line-107"></a> <span class='hs-varid'>bs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>state</span> <span class='hs-keyword'>as</span> <a name="line-108"></a> <a name="line-109"></a> <a name="line-110"></a><a name="zipU"></a><span class='hs-definition'>zipU</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</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> <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-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <a name="line-111"></a><span class='hs-definition'>zipU</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-112"></a><span class='hs-definition'>zipU</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-113"></a><span class='hs-definition'>zipU</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-114"></a><span class='hs-definition'>zipU</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>c1</span><span class='hs-layout'>,</span><span class='hs-varid'>c2</span><span class='hs-layout'>)</span><span class='hs-conop'>:-</span><span class='hs-varid'>cs</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <a name="line-115"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c2</span> <a name="line-116"></a> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>,</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>zipU</span> <span class='hs-varid'>cs</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <a name="line-117"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-118"></a> <a name="line-119"></a><a name="zipUs"></a><span class='hs-definition'>zipUs</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>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-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-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <a name="line-120"></a><span class='hs-definition'>zipUs</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-121"></a><span class='hs-definition'>zipUs</span> <span class='hs-keyword'>_</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-122"></a><span class='hs-definition'>zipUs</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <a name="line-123"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c2</span> <a name="line-124"></a> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>,</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <a name="line-125"></a> <span class='hs-conop'>:-</span> <span class='hs-varid'>zipUs</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <a name="line-126"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-127"></a> <a name="line-128"></a><a name="zipWithU"></a><span class='hs-definition'>zipWithU</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</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-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</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-129"></a><span class='hs-definition'>zipWithU</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-130"></a><span class='hs-definition'>zipWithU</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</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-131"></a><span class='hs-definition'>zipWithU</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <a name="line-132"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c2</span> <a name="line-133"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-134"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>zipWithU</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <a name="line-135"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-136"></a> <a name="line-137"></a><a name="zipWithUC"></a><span class='hs-definition'>zipWithUC</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</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-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</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-138"></a><span class='hs-definition'>zipWithUC</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-139"></a><span class='hs-definition'>zipWithUC</span> <span class='hs-keyword'>_</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-140"></a><span class='hs-definition'>zipWithUC</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <a name="line-141"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-num'>1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c1</span> <a name="line-142"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>headS</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-143"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>zipWithUC</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>tailS</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <a name="line-144"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-145"></a> <a name="line-146"></a><a name="zipWith3U"></a><span class='hs-definition'>zipWith3U</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</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-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>d</span><span class='hs-keyglyph'>]</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> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>d</span> <a name="line-147"></a><span class='hs-definition'>zipWith3U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-148"></a><span class='hs-definition'>zipWith3U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-149"></a><span class='hs-definition'>zipWith3U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</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-150"></a><span class='hs-definition'>zipWith3U</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-varid'>zs</span> <a name="line-151"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c2</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c3</span> <a name="line-152"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-153"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>zipWith3U</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span> <a name="line-154"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-155"></a> <a name="line-156"></a><a name="zipWith4U"></a><span class='hs-definition'>zipWith4U</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</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-varid'>b</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>c</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>d</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>-></span><span class='hs-keyglyph'>[</span><span class='hs-varid'>e</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <a name="line-157"></a> <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> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>e</span> <a name="line-158"></a><span class='hs-definition'>zipWith4U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span><span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-159"></a><span class='hs-definition'>zipWith4U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-160"></a><span class='hs-definition'>zipWith4U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-161"></a><span class='hs-definition'>zipWith4U</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</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-162"></a><span class='hs-definition'>zipWith4U</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>c4</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span> <span class='hs-varid'>zs</span> <span class='hs-keyword'>as</span> <a name="line-163"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c2</span> <a name="line-164"></a> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c3</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>lengthS</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c4</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c4</span> <a name="line-165"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeL</span> <span class='hs-varid'>c4</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <a name="line-166"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>zipWith4U</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>c4</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c2</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c3</span> <span class='hs-varid'>zs</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c4</span> <span class='hs-keyword'>as</span><span class='hs-layout'>)</span> <a name="line-167"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-168"></a> <a name="line-169"></a><a name="unzipU"></a><span class='hs-definition'>unzipU</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</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-conid'>Signal</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <a name="line-170"></a><span class='hs-definition'>unzipU</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>NullS</span><span class='hs-layout'>,</span><span class='hs-conid'>NullS</span><span class='hs-layout'>)</span> <a name="line-171"></a><span class='hs-definition'>unzipU</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyword'>as</span><span class='hs-layout'>,</span><span class='hs-varid'>bs</span><span class='hs-layout'>)</span><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-keyword'>as</span> <span class='hs-varop'>+-+</span> <span class='hs-varid'>ass</span><span class='hs-layout'>,</span> <a name="line-172"></a> <span class='hs-varid'>signal</span> <span class='hs-varid'>bs</span> <span class='hs-varop'>+-+</span> <span class='hs-varid'>bss</span><span class='hs-layout'>)</span> <a name="line-173"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-varid'>ass</span><span class='hs-layout'>,</span><span class='hs-varid'>bss</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipU</span> <span class='hs-varid'>xs</span> <a name="line-174"></a> <a name="line-175"></a><a name="sourceU"></a><span class='hs-definition'>sourceU</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>-></span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-176"></a><span class='hs-definition'>sourceU</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>newstate</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>sourceU</span> <span class='hs-varid'>g</span> <span class='hs-varid'>newstate</span> <a name="line-177"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>newstate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <a name="line-178"></a> <a name="line-179"></a><a name="sinkU"></a><span class='hs-definition'>sinkU</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'>Int</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>-></span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></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'>b</span> <a name="line-180"></a><span class='hs-definition'>sinkU</span> <span class='hs-keyword'>_</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-181"></a><span class='hs-definition'>sinkU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <span class='hs-varid'>xs</span> <a name="line-182"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>length</span> <span class='hs-keyword'>as</span> <span class='hs-varop'>==</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sinkU</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>newstate</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropS</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-183"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span> <a name="line-184"></a> <span class='hs-keyword'>where</span> <span class='hs-keyword'>as</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>takeL</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span> <a name="line-185"></a> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>state</span> <a name="line-186"></a> <span class='hs-varid'>newstate</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>state</span> <a name="line-187"></a> <a name="line-188"></a> <a name="line-189"></a><a name="initU"></a><span class='hs-comment'>-- | 'initU' is used to initialise a signal. Its first argument is prepended to its second argument, a signal.</span> <a name="line-190"></a><span class='hs-definition'>initU</span> <span class='hs-keyglyph'>::</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-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <a name="line-191"></a><span class='hs-definition'>initU</span> <span class='hs-varid'>initial</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>signal</span> <span class='hs-varid'>initial</span><span class='hs-layout'>)</span> <span class='hs-varop'>+-+</span> <span class='hs-varid'>s</span> <a name="line-192"></a> <a name="line-193"></a><a name="takeL"></a><span class='hs-definition'>takeL</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-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-194"></a><span class='hs-definition'>takeL</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromSignal</span> <span class='hs-varop'>.</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeS</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <a name="line-195"></a> <a name="line-196"></a> <a name="line-197"></a> <a name="line-198"></a> <a name="line-199"></a> <a name="line-200"></a> </pre></body> </html>
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