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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.CTLib</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 is the ForSyDe library for continuous time MoC (CT-MoC).</span>
<a name="line-12"></a><span class='hs-comment'>-- Revision: $Revision: 1.7 $</span>
<a name="line-13"></a><span class='hs-comment'>-- Id: $Id: CTLib.hs,v 1.7 2007/07/11 08:38:34 axel Exp $</span>
<a name="line-14"></a><span class='hs-comment'>-- It is still experimental.</span>
<a name="line-15"></a><span class='hs-comment'>-- Right now there are only constructors 'combCT', 'combCT2', 'delayCT', </span>
<a name="line-16"></a><span class='hs-comment'>-- 'shiftCT', 'mealyCT', 'mooreCT', 'scaleCT', 'addCT', 'multCT' and 'absCT'.</span>
<a name="line-17"></a><span class='hs-comment'>--</span>
<a name="line-18"></a><span class='hs-comment'>-- The main idea is to represent continuous time signals as functions</span>
<a name="line-19"></a><span class='hs-comment'>-- @Real --> a@ with @a@ being a numerical type. This allows us to represent a </span>
<a name="line-20"></a><span class='hs-comment'>-- continuous time signal without loss of information because no sampling or </span>
<a name="line-21"></a><span class='hs-comment'>-- ADC is required. The sampling occurs only when a signal is evaluated, </span>
<a name="line-22"></a><span class='hs-comment'>-- for instance when it is plotted. </span>
<a name="line-23"></a><span class='hs-comment'>-- </span>
<a name="line-24"></a><span class='hs-comment'>-- Thus, a /signal/ is represented as a sequence of functions and intervals. For</span>
<a name="line-25"></a><span class='hs-comment'>-- instance a signal </span>
<a name="line-26"></a><span class='hs-comment'>-- </span>
<a name="line-27"></a><span class='hs-comment'>-- @s = \<(sin,[0,100])\>@ </span>
<a name="line-28"></a><span class='hs-comment'>--</span>
<a name="line-29"></a><span class='hs-comment'>-- represents a sinus signal in the interval between 0 and 100. The signal </span>
<a name="line-30"></a><span class='hs-comment'>--</span>
<a name="line-31"></a><span class='hs-comment'>-- @s2 = \<(f1(x)=2x, [0,2]), (f2(x)=3+x,[2,4])\>@</span>
<a name="line-32"></a><span class='hs-comment'>--</span>
<a name="line-33"></a><span class='hs-comment'>-- defines a signal that is defined by function @f1@ in the interval @[0,2]@ </span>
<a name="line-34"></a><span class='hs-comment'>-- and by function @f2@ in the interval @[2,4]@. </span>
<a name="line-35"></a><span class='hs-comment'>--</span>
<a name="line-36"></a><span class='hs-comment'>-- A /process/ transforms the incoming functions into outgoing functions. </span>
<a name="line-37"></a><span class='hs-comment'>-- The approach is described in more detail in the ANDRES deliverable D1.1a.</span>
<a name="line-38"></a><span class='hs-comment'>-- Here we only briefly comment the main functions and constructors.</span>
<a name="line-39"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-40"></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'>CTLib</span> <span class='hs-layout'>(</span>
<a name="line-41"></a><span class='hs-comment'>-- module ForSyDe.Shallow.CoreLib,</span>
<a name="line-42"></a> <span class='hs-comment'>-- * The signal data type</span>
<a name="line-43"></a> <span class='hs-conid'>SubsigCT</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-44"></a> <span class='hs-varid'>timeStep</span><span class='hs-layout'>,</span>
<a name="line-45"></a> <span class='hs-comment'>-- * Primary process constructors</span>
<a name="line-46"></a> <span class='hs-varid'>combCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>combCT2</span><span class='hs-layout'>,</span> <span class='hs-varid'>mooreCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>mealyCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>delayCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>shiftCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>initCT</span><span class='hs-layout'>,</span>
<a name="line-47"></a> <span class='hs-comment'>-- * Derived process constructors</span>
<a name="line-48"></a> <span class='hs-comment'>-- | These constructors instantiate very useful processes.</span>
<a name="line-49"></a> <span class='hs-comment'>-- They could be defined in terms of the basic constructors</span>
<a name="line-50"></a> <span class='hs-comment'>-- but are typically defined in a more direct way for </span>
<a name="line-51"></a> <span class='hs-comment'>-- the sake of efficieny.</span>
<a name="line-52"></a> <span class='hs-varid'>scaleCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>addCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>multCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>absCT</span><span class='hs-layout'>,</span>
<a name="line-53"></a> <span class='hs-comment'>-- * Convenient functions and processes</span>
<a name="line-54"></a> <span class='hs-comment'>-- | Several helper functions are available to obtain parts</span>
<a name="line-55"></a> <span class='hs-comment'>-- of a signal, the duration, the start time of a signal, and</span>
<a name="line-56"></a> <span class='hs-comment'>-- to generate a sine wave and constant signals.</span>
<a name="line-57"></a> <span class='hs-varid'>takeCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>dropCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>duration</span><span class='hs-layout'>,</span> <span class='hs-varid'>startTime</span><span class='hs-layout'>,</span> <span class='hs-varid'>sineWave</span><span class='hs-layout'>,</span> <span class='hs-varid'>constCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>zeroCT</span><span class='hs-layout'>,</span>
<a name="line-58"></a> <span class='hs-comment'>-- * AD and DA converters</span>
<a name="line-59"></a> <span class='hs-conid'>DACMode</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>a2dConverter</span><span class='hs-layout'>,</span> <span class='hs-varid'>d2aConverter</span><span class='hs-layout'>,</span>
<a name="line-60"></a> <span class='hs-comment'>-- * Some helper functions</span>
<a name="line-61"></a> <span class='hs-varid'>applyF1</span><span class='hs-layout'>,</span> <span class='hs-varid'>applyF2</span><span class='hs-layout'>,</span> <span class='hs-varid'>applyG1</span><span class='hs-layout'>,</span> <span class='hs-varid'>cutEq</span><span class='hs-layout'>,</span>
<a name="line-62"></a> <span class='hs-comment'>-- * Sampling, printing and plotting</span>
<a name="line-63"></a> <span class='hs-comment'>-- $plotdoc</span>
<a name="line-64"></a> <span class='hs-varid'>plot</span><span class='hs-layout'>,</span> <span class='hs-varid'>plotCT</span><span class='hs-layout'>,</span> <span class='hs-varid'>plotCT'</span> <span class='hs-layout'>,</span><span class='hs-varid'>showParts</span><span class='hs-layout'>,</span> <span class='hs-varid'>vcdGen</span><span class='hs-layout'>)</span>
<a name="line-65"></a> <span class='hs-keyword'>where</span>
<a name="line-66"></a>
<a name="line-67"></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-68"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>System</span><span class='hs-varop'>.</span><span class='hs-conid'>Cmd</span>
<a name="line-69"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>System</span><span class='hs-varop'>.</span><span class='hs-conid'>Time</span>
<a name="line-70"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>System</span><span class='hs-varop'>.</span><span class='hs-conid'>IO</span>
<a name="line-71"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>System</span><span class='hs-varop'>.</span><span class='hs-conid'>Directory</span>
<a name="line-72"></a><span class='hs-comment'>--import Control.Exception</span>
<a name="line-73"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Ratio</span>
<a name="line-74"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Numeric</span><span class='hs-conid'>()</span>
<a name="line-75"></a>
<a name="line-76"></a><a name="revision"></a><span class='hs-comment'>-- The revision number of this file:</span>
<a name="line-77"></a><span class='hs-definition'>revision</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span>
<a name="line-78"></a><span class='hs-definition'>revision</span><span class='hs-keyglyph'>=</span><span class='hs-varid'>filter</span> <span class='hs-layout'>(</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-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-varop'>==</span><span class='hs-chr'>'$'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-str'>"$Revision: 1.7 $, $Date: 2007/07/11 08:38:34 $"</span>
<a name="line-79"></a>
<a name="line-80"></a><a name="SubsigCT"></a><span class='hs-comment'>-- |The type of a sub-signal of a continuous signal. It consisits of the </span>
<a name="line-81"></a><a name="SubsigCT"></a><span class='hs-comment'>-- function and the interval on which the function is defined.</span>
<a name="line-82"></a><a name="SubsigCT"></a><span class='hs-comment'>-- The continuous time signal is then defined as a sequence of SubsigCT </span>
<a name="line-83"></a><a name="SubsigCT"></a><span class='hs-comment'>-- elements: Signal SubsigCT</span>
<a name="line-84"></a><a name="SubsigCT"></a><span class='hs-keyword'>data</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'>=></span>
<a name="line-85"></a> <span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-comment'>-- The function Time -> Value</span>
<a name="line-86"></a> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- The interval on which the</span>
<a name="line-87"></a> <span class='hs-comment'>-- function is defined</span>
<a name="line-88"></a>
<a name="line-89"></a><span class='hs-keyword'>instance</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'>=></span> <span class='hs-conid'>Show</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-90"></a> <span class='hs-varid'>show</span> <span class='hs-varid'>ss</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>sampleSubsig</span> <span class='hs-varid'>timeStep</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span>
<a name="line-91"></a>
<a name="line-92"></a><span class='hs-comment'>--unit :: String -- all time numbers are in terms of this unit.</span>
<a name="line-93"></a><span class='hs-comment'>--unit = "sec" </span>
<a name="line-94"></a>
<a name="line-95"></a><a name="timeStep"></a><span class='hs-comment'>-- | This constant gives the default time step for sampling and plotting.</span>
<a name="line-96"></a><span class='hs-comment'>-- Its value is 10ns.</span>
<a name="line-97"></a><span class='hs-definition'>timeStep</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rational</span>
<a name="line-98"></a><span class='hs-definition'>timeStep</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>10.0e-9</span>
<a name="line-99"></a>
<a name="line-100"></a><a name="combCT"></a><span class='hs-comment'>-----------------------------------------------------------------------</span>
<a name="line-101"></a><span class='hs-comment'>-- |'combCT' is a process constructor with one input and one output signal.</span>
<a name="line-102"></a><span class='hs-comment'>-- It instantiates a combinatorial, stateless process.</span>
<a name="line-103"></a><span class='hs-definition'>combCT</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-keyglyph'>=></span>
<a name="line-104"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^The partitioning of the input signal. In other words</span>
<a name="line-105"></a> <span class='hs-comment'>-- this gives the time period which is consumed by the</span>
<a name="line-106"></a> <span class='hs-comment'>-- process during each evaluation cycle.</span>
<a name="line-107"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The function that </span>
<a name="line-108"></a> <span class='hs-comment'>-- defines the process </span>
<a name="line-109"></a> <span class='hs-comment'>-- behaviour</span>
<a name="line-110"></a> <span class='hs-keyglyph'>-></span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The input signal</span>
<a name="line-111"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal of the process.</span>
<a name="line-112"></a><span class='hs-definition'>combCT</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-113"></a><span class='hs-definition'>combCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</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-114"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyF1</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varop'>+-+</span> <span class='hs-varid'>combCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-115"></a>
<a name="line-116"></a><a name="combCT2"></a><span class='hs-comment'>-- |'combCT2' is a process constructor just like 'combCT' but operates on</span>
<a name="line-117"></a><span class='hs-comment'>-- two input signals.</span>
<a name="line-118"></a><span class='hs-definition'>combCT2</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-keyglyph'>=></span>
<a name="line-119"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^The partitioning of both input signals</span>
<a name="line-120"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>-></span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-121"></a> <span class='hs-comment'>-- ^The function defining the process behaviour.</span>
<a name="line-122"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The first input signal</span>
<a name="line-123"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The second input signal</span>
<a name="line-124"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal of the process</span>
<a name="line-125"></a><span class='hs-definition'>combCT2</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-126"></a><span class='hs-definition'>combCT2</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-127"></a><span class='hs-definition'>combCT2</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'><</span> <span class='hs-varid'>c</span>
<a name="line-128"></a> <span class='hs-varop'>||</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</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-129"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>startTime</span> <span class='hs-varid'>s1</span> <span class='hs-varop'>/=</span> <span class='hs-varid'>startTime</span> <span class='hs-varid'>s2</span>
<a name="line-130"></a> <span class='hs-varop'>&&</span> <span class='hs-varid'>abs</span><span class='hs-layout'>(</span><span class='hs-varid'>startTime</span> <span class='hs-varid'>s1</span> <span class='hs-comment'>-</span> <span class='hs-varid'>startTime</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span>
<a name="line-131"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-layout'>(</span><span class='hs-str'>"combCT2: s1 and s2 have not identical start"</span>
<a name="line-132"></a> <span class='hs-varop'>++</span> <span class='hs-str'>" times: startTime s1 = "</span>
<a name="line-133"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>startTime</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>", startTime s2 = "</span>
<a name="line-134"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>startTime</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>";"</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-varid'>applyF2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s1'</span> <span class='hs-varid'>s2'</span>
<a name="line-136"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>combCT2</span> <span class='hs-varid'>c</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-137"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1'</span><span class='hs-layout'>,</span><span class='hs-varid'>s2'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cutEq</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-138"></a>
<a name="line-139"></a><a name="delayCT"></a><span class='hs-comment'>---</span>
<a name="line-140"></a><span class='hs-comment'>-- |'delayCT' is a delay process which simply delays the</span>
<a name="line-141"></a><span class='hs-comment'>-- output but does not buffer it. The value at each time t is the same as </span>
<a name="line-142"></a><span class='hs-comment'>-- for the input signal, after the initial delay.</span>
<a name="line-143"></a><span class='hs-definition'>delayCT</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-keyglyph'>=></span>
<a name="line-144"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^ The delay</span>
<a name="line-145"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The input signal</span>
<a name="line-146"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The output signal</span>
<a name="line-147"></a><span class='hs-definition'>delayCT</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-148"></a><span class='hs-definition'>delayCT</span> <span class='hs-varid'>delay</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-149"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-varop'>+</span><span class='hs-varid'>delay</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span><span class='hs-varop'>+</span><span class='hs-varid'>delay</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>delayCT</span> <span class='hs-varid'>delay</span> <span class='hs-varid'>s</span>
<a name="line-150"></a>
<a name="line-151"></a>
<a name="line-152"></a><a name="shiftCT"></a><span class='hs-comment'>----</span>
<a name="line-153"></a><span class='hs-comment'>-- |'shiftCT' shifts the shape of the input signal by delay </span>
<a name="line-154"></a><span class='hs-comment'>-- to the right.</span>
<a name="line-155"></a><span class='hs-definition'>shiftCT</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-keyglyph'>=></span>
<a name="line-156"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^ The delay</span>
<a name="line-157"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The input signal</span>
<a name="line-158"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The output signal</span>
<a name="line-159"></a><span class='hs-definition'>shiftCT</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-160"></a><span class='hs-definition'>shiftCT</span> <span class='hs-num'>0</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-161"></a><span class='hs-definition'>shiftCT</span> <span class='hs-varid'>delay</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shiftCT'</span> <span class='hs-varid'>delay</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>delay</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- The new signal shall</span>
<a name="line-162"></a> <span class='hs-comment'>-- only start delay </span>
<a name="line-163"></a> <span class='hs-comment'>-- seconds later.</span>
<a name="line-164"></a> <span class='hs-keyword'>where</span>
<a name="line-165"></a> <span class='hs-varid'>shiftCT'</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-166"></a> <span class='hs-varid'>shiftCT'</span> <span class='hs-varid'>delay</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-167"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f'</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>shiftCT'</span> <span class='hs-varid'>delay</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-168"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-comment'>-</span><span class='hs-varid'>delay</span><span class='hs-layout'>)</span>
<a name="line-169"></a>
<a name="line-170"></a><a name="initCT"></a><span class='hs-comment'>----</span>
<a name="line-171"></a><span class='hs-comment'>-- | initCT takes an initial signal, outputs it and then copies its second </span>
<a name="line-172"></a><span class='hs-comment'>-- input signal, which is delayed by the duration of the initial signal.</span>
<a name="line-173"></a><span class='hs-comment'>-- The delay is realized by 'delayCT' </span>
<a name="line-174"></a><span class='hs-definition'>initCT</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-keyglyph'>=></span>
<a name="line-175"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The initial signal output first.</span>
<a name="line-176"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ Then this signal is output, but delayed.</span>
<a name="line-177"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The concatation of the two inputs.</span>
<a name="line-178"></a><span class='hs-definition'>initCT</span> <span class='hs-varid'>s0</span> <span class='hs-varid'>s1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s0</span> <span class='hs-varop'>+-+</span> <span class='hs-layout'>(</span><span class='hs-varid'>delayCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-varid'>s0</span><span class='hs-layout'>)</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span>
<a name="line-179"></a>
<a name="line-180"></a><a name="mealyCT"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-181"></a><span class='hs-comment'>-- |The state-full constructor 'mealyCT' resembles a Mealy machine.</span>
<a name="line-182"></a><span class='hs-definition'>mealyCT</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-183"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The gamma function which defines</span>
<a name="line-184"></a> <span class='hs-comment'>-- the partitioning of the input</span>
<a name="line-185"></a> <span class='hs-comment'>-- signal. </span>
<a name="line-186"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</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'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The next state function g</span>
<a name="line-187"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</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-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-188"></a> <span class='hs-comment'>-- ^The output encoding function f </span>
<a name="line-189"></a> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-comment'>-- ^The initial state</span>
<a name="line-190"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The input signal</span>
<a name="line-191"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal</span>
<a name="line-192"></a><span class='hs-definition'>mealyCT</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-193"></a><span class='hs-definition'>mealyCT</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>s</span>
<a name="line-194"></a> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</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-195"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyF1</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-196"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>mealyCT</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w'</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-197"></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'>w</span>
<a name="line-198"></a> <span class='hs-varid'>w'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyG1</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-199"></a>
<a name="line-200"></a><a name="mooreCT"></a><span class='hs-comment'>-- |The state-full constructor 'mooreCT' resembles a Moore machine.</span>
<a name="line-201"></a><span class='hs-definition'>mooreCT</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-202"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The gamma function which defines</span>
<a name="line-203"></a> <span class='hs-comment'>-- the partitioning of the input</span>
<a name="line-204"></a> <span class='hs-comment'>-- signal. </span>
<a name="line-205"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</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'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The next state function g</span>
<a name="line-206"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-207"></a> <span class='hs-comment'>-- ^The output encoding function f </span>
<a name="line-208"></a> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-comment'>-- ^The initial state</span>
<a name="line-209"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The input signal</span>
<a name="line-210"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal</span>
<a name="line-211"></a><span class='hs-definition'>mooreCT</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-212"></a><span class='hs-definition'>mooreCT</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w</span> <span class='hs-varid'>s</span>
<a name="line-213"></a> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</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-214"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-215"></a> <span class='hs-conop'>:-</span> <span class='hs-varid'>mooreCT</span> <span class='hs-varid'>gamma</span> <span class='hs-varid'>g</span> <span class='hs-varid'>f</span> <span class='hs-varid'>w'</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-216"></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'>w</span>
<a name="line-217"></a> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>startTime</span> <span class='hs-varid'>s</span>
<a name="line-218"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-varop'>+</span> <span class='hs-varid'>c</span>
<a name="line-219"></a> <span class='hs-varid'>w'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyG1</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-220"></a>
<a name="line-221"></a><a name="scaleCT"></a><span class='hs-comment'>-------------------------------------------------------------------------</span>
<a name="line-222"></a><span class='hs-comment'>-- Some useful process constructors:</span>
<a name="line-223"></a><span class='hs-comment'>-- </span>
<a name="line-224"></a><span class='hs-comment'>-- |'scaleCT' amplifies an input by a constant factor:</span>
<a name="line-225"></a><span class='hs-definition'>scaleCT</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-keyglyph'>=></span>
<a name="line-226"></a> <span class='hs-varid'>a</span> <span class='hs-comment'>-- ^The scaling factor</span>
<a name="line-227"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The input signal</span>
<a name="line-228"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal of the process</span>
<a name="line-229"></a><span class='hs-definition'>scaleCT</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyF1</span> <span class='hs-varid'>f'</span>
<a name="line-230"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>k</span> <span class='hs-varop'>*</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-231"></a>
<a name="line-232"></a><span class='hs-comment'>-- scaleCT' has the same functionality as scaleCT but operates with a</span>
<a name="line-233"></a><span class='hs-comment'>-- given signal partitioning rather than on the </span>
<a name="line-234"></a><span class='hs-comment'>-- SubsigCT elements.</span>
<a name="line-235"></a><span class='hs-comment'>--scaleCT' :: (Num a) =></span>
<a name="line-236"></a><span class='hs-comment'>-- Rational -- The sampling period</span>
<a name="line-237"></a><span class='hs-comment'>-- -> a -- The scaling factor</span>
<a name="line-238"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -> Signal (SubsigCT a)</span>
<a name="line-239"></a><span class='hs-comment'>--scaleCT' step k = combCT step f</span>
<a name="line-240"></a><span class='hs-comment'>-- where f g = f'</span>
<a name="line-241"></a><span class='hs-comment'>-- where f' x = k * (g x)</span>
<a name="line-242"></a>
<a name="line-243"></a><a name="addCT"></a><span class='hs-comment'>-- |'addCT' adds two input signals together.</span>
<a name="line-244"></a><span class='hs-definition'>addCT</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-keyglyph'>=></span>
<a name="line-245"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The first input signal</span>
<a name="line-246"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The second input signal</span>
<a name="line-247"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal</span>
<a name="line-248"></a><span class='hs-definition'>addCT</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyF2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s1'</span> <span class='hs-varid'>s2'</span>
<a name="line-249"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1'</span><span class='hs-layout'>,</span><span class='hs-varid'>s2'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cutEq</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span>
<a name="line-250"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>g1</span> <span class='hs-varid'>g2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f'</span>
<a name="line-251"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>g1</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'>+</span> <span class='hs-layout'>(</span><span class='hs-varid'>g2</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-252"></a>
<a name="line-253"></a><span class='hs-comment'>-- addCT' has the same functionality as addCT but operates with a</span>
<a name="line-254"></a><span class='hs-comment'>-- given signal partitioning rather than on the SubsigCT elements.</span>
<a name="line-255"></a><span class='hs-comment'>-- addCT' :: (Num a) =></span>
<a name="line-256"></a><span class='hs-comment'>-- Rational -- The sampling period</span>
<a name="line-257"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -- The first input signal</span>
<a name="line-258"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -- The second input signal</span>
<a name="line-259"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -- The output signal</span>
<a name="line-260"></a><span class='hs-comment'>-- addCT' step = combCT2 step f</span>
<a name="line-261"></a><span class='hs-comment'>-- where f g1 g2 = f'</span>
<a name="line-262"></a><span class='hs-comment'>-- where f' x = (g1 x) + (g2 x)</span>
<a name="line-263"></a>
<a name="line-264"></a><a name="multCT"></a><span class='hs-comment'>-- |'multCT' multiplies two input signals together.</span>
<a name="line-265"></a><span class='hs-definition'>multCT</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-keyglyph'>=></span>
<a name="line-266"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The first input signal</span>
<a name="line-267"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The second input signal</span>
<a name="line-268"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal</span>
<a name="line-269"></a><span class='hs-definition'>multCT</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyF2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s1'</span> <span class='hs-varid'>s2'</span>
<a name="line-270"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1'</span><span class='hs-layout'>,</span><span class='hs-varid'>s2'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>cutEq</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span>
<a name="line-271"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>g1</span> <span class='hs-varid'>g2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f'</span>
<a name="line-272"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>g1</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'>*</span> <span class='hs-layout'>(</span><span class='hs-varid'>g2</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-273"></a>
<a name="line-274"></a><span class='hs-comment'>-- multCT' has the same functionality as multCT but operates with a</span>
<a name="line-275"></a><span class='hs-comment'>-- given signal partitioning rather than on the SubsigCT elements.</span>
<a name="line-276"></a><span class='hs-comment'>-- multCT' :: (Num a) =></span>
<a name="line-277"></a><span class='hs-comment'>-- Rational -- The sampling period</span>
<a name="line-278"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -- The first input signal</span>
<a name="line-279"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -- The second input signal</span>
<a name="line-280"></a><span class='hs-comment'>-- -> Signal (SubsigCT a) -- The output signal</span>
<a name="line-281"></a><span class='hs-comment'>-- multCT' step = combCT2 step f</span>
<a name="line-282"></a><span class='hs-comment'>-- where f g1 g2 = f'</span>
<a name="line-283"></a><span class='hs-comment'>-- where f' x = (g1 x) * (g2 x)</span>
<a name="line-284"></a>
<a name="line-285"></a><a name="absCT"></a><span class='hs-comment'>-- |'absCT' takes the absolute value of a signal.</span>
<a name="line-286"></a><span class='hs-definition'>absCT</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'>=></span>
<a name="line-287"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The input signal</span>
<a name="line-288"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The output signal</span>
<a name="line-289"></a><span class='hs-definition'>absCT</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyF1</span> <span class='hs-varid'>f</span>
<a name="line-290"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f'</span>
<a name="line-291"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-varop'><=</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varop'>*</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-292"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-293"></a>
<a name="line-294"></a><a name="sineWave"></a><span class='hs-comment'>-- | 'sineWave' generates a sinus signal with the given frequency defined</span>
<a name="line-295"></a><span class='hs-comment'>-- over a given period. The function is defined as @f(x)=sin(2*pi*freq*x)@.</span>
<a name="line-296"></a><span class='hs-definition'>sineWave</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Floating</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-297"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^The frequency</span>
<a name="line-298"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The interval of the signal</span>
<a name="line-299"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The generated signal</span>
<a name="line-300"></a><span class='hs-definition'>sineWave</span> <span class='hs-varid'>freq</span> <span class='hs-varid'>timeInterval</span>
<a name="line-301"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>sineFunction</span><span class='hs-layout'>,</span> <span class='hs-varid'>timeInterval</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-302"></a> <span class='hs-keyword'>where</span>
<a name="line-303"></a> <span class='hs-varid'>sineFunction</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Floating</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-304"></a> <span class='hs-comment'>--sineFunction t = sin (2*pi * freq * t)</span>
<a name="line-305"></a> <span class='hs-varid'>sineFunction</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>sin</span> <span class='hs-layout'>(</span><span class='hs-num'>2</span><span class='hs-varop'>*</span><span class='hs-varid'>pi</span> <span class='hs-varop'>*</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-layout'>(</span><span class='hs-varid'>freq</span> <span class='hs-varop'>*</span> <span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-306"></a><a name="constCT"></a><span class='hs-comment'>-- | constCT generates a constant signal for a given time duration.</span>
<a name="line-307"></a><span class='hs-definition'>constCT</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-keyglyph'>=></span>
<a name="line-308"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^ The time duration of the generated signal.</span>
<a name="line-309"></a> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-comment'>-- ^ The constant value of the signal.</span>
<a name="line-310"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The resulting signal.</span>
<a name="line-311"></a><span class='hs-definition'>constCT</span> <span class='hs-varid'>t</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-keyword'>_</span><span class='hs-keyglyph'>-></span><span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-312"></a>
<a name="line-313"></a><a name="zeroCT"></a><span class='hs-comment'>-- | zeroCT generates a constant 0 signal for the given time duration.</span>
<a name="line-314"></a><span class='hs-definition'>zeroCT</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-keyglyph'>=></span>
<a name="line-315"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^ The time duration</span>
<a name="line-316"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^ The generated signal.</span>
<a name="line-317"></a><span class='hs-definition'>zeroCT</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>constCT</span> <span class='hs-varid'>t</span> <span class='hs-num'>0</span>
<a name="line-318"></a>
<a name="line-319"></a><a name="DACMode"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-320"></a><a name="DACMode"></a><span class='hs-comment'>-- DA and AD converter processes:</span>
<a name="line-321"></a><a name="DACMode"></a><span class='hs-comment'>--</span>
<a name="line-322"></a><a name="DACMode"></a><span class='hs-comment'>-- |For the digital-analog conversion we have two different possibilities</span>
<a name="line-323"></a><a name="DACMode"></a><span class='hs-comment'>-- which is determined by this data type 'DACMode'.</span>
<a name="line-324"></a><a name="DACMode"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>DACMode</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>DAlinear</span> <span class='hs-comment'>-- ^linear interpolation</span>
<a name="line-325"></a> <span class='hs-keyglyph'>|</span> <span class='hs-conid'>DAhold</span> <span class='hs-comment'>-- ^the last digital value is frozen</span>
<a name="line-326"></a> <span class='hs-keyword'>deriving</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span><span class='hs-layout'>,</span> <span class='hs-conid'>Eq</span><span class='hs-layout'>)</span>
<a name="line-327"></a>
<a name="line-328"></a><a name="d2aConverter"></a><span class='hs-comment'>{- |'d2aConverter' converts an untimes or synchronous signal into a
<a name="line-329"></a> continuous time signal.
<a name="line-330"></a> The process 'd2aConverter' converts a signal of the digital domain
<a name="line-331"></a> into a continuous time signal. There are two modes, 'DAlinear',
<a name="line-332"></a> which makes a smooth transition between adjacent digital values and
<a name="line-333"></a> 'DAhold', where the analog value directly follows the digital
<a name="line-334"></a> value. This means that in 'DAhold'-mode a staircase function
<a name="line-335"></a> remains a staircase function, while in 'DAlinear' the staircase
<a name="line-336"></a> function would resemble at least partially a /saw tooth/-curve.
<a name="line-337"></a>
<a name="line-338"></a> The resolution of the converter is given by the parameter
<a name="line-339"></a> 'timeStep'.
<a name="line-340"></a>
<a name="line-341"></a> Note, that the process 'd2aConverter' is an ideal component, i.e. there
<a name="line-342"></a> are no losses due to a limited resolution due to a fixed number of bits.
<a name="line-343"></a>-}</span>
<a name="line-344"></a><span class='hs-definition'>d2aConverter</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-345"></a> <span class='hs-conid'>DACMode</span> <span class='hs-comment'>-- ^Mode of conversion</span>
<a name="line-346"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^Duration of input signal</span>
<a name="line-347"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-comment'>-- ^Input signal (untimed MoC)</span>
<a name="line-348"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^Output signal (continuous time MoC)</span>
<a name="line-349"></a><span class='hs-definition'>d2aConverter</span> <span class='hs-varid'>mode</span> <span class='hs-varid'>c</span> <span class='hs-varid'>xs</span>
<a name="line-350"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>mode</span> <span class='hs-varop'>==</span> <span class='hs-conid'>DAlinear</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>d2aLinear</span> <span class='hs-varid'>c</span> <span class='hs-num'>0.0</span> <span class='hs-varid'>xs</span>
<a name="line-351"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>d2aHolder</span> <span class='hs-varid'>c</span> <span class='hs-num'>0.0</span> <span class='hs-varid'>xs</span>
<a name="line-352"></a> <span class='hs-keyword'>where</span>
<a name="line-353"></a> <span class='hs-varid'>d2aHolder</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-keyglyph'>=></span>
<a name="line-354"></a> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-355"></a> <span class='hs-varid'>d2aHolder</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-356"></a> <span class='hs-varid'>d2aHolder</span> <span class='hs-varid'>c</span> <span class='hs-varid'>holdT</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'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>constRationalF</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>holdT</span><span class='hs-layout'>,</span><span class='hs-varid'>holdT</span><span class='hs-varop'>+</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>)</span>
<a name="line-357"></a> <span class='hs-conop'>:-</span> <span class='hs-varid'>d2aHolder</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>holdT</span><span class='hs-varop'>+</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-358"></a>
<a name="line-359"></a> <span class='hs-varid'>d2aLinear</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-360"></a> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-361"></a> <span class='hs-varid'>d2aLinear</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-362"></a> <span class='hs-varid'>d2aLinear</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</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-363"></a> <span class='hs-varid'>d2aLinear</span> <span class='hs-varid'>c</span> <span class='hs-varid'>holdT</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:-</span><span class='hs-varid'>y</span><span class='hs-conop'>:-</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-364"></a> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>linearRationalF</span> <span class='hs-varid'>c</span> <span class='hs-varid'>holdT</span> <span class='hs-varid'>x</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>holdT</span><span class='hs-layout'>,</span><span class='hs-varid'>holdT</span><span class='hs-varop'>+</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>)</span>
<a name="line-365"></a> <span class='hs-conop'>:-</span> <span class='hs-varid'>d2aLinear</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>holdT</span><span class='hs-varop'>+</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:-</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-366"></a>
<a name="line-367"></a>
<a name="line-368"></a><a name="constRationalF"></a><span class='hs-definition'>constRationalF</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-keyglyph'>=></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-369"></a><span class='hs-definition'>constRationalF</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x</span> <span class='hs-keyword'>_</span><span class='hs-keyglyph'>-></span><span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-370"></a>
<a name="line-371"></a><a name="linearRationalF"></a><span class='hs-definition'>linearRationalF</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-372"></a> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-373"></a><span class='hs-definition'>linearRationalF</span> <span class='hs-varid'>c</span> <span class='hs-varid'>holdT</span> <span class='hs-varid'>m</span> <span class='hs-varid'>n</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-num'>1</span><span class='hs-comment'>-</span><span class='hs-varid'>alpha</span><span class='hs-layout'>)</span><span class='hs-varop'>*</span><span class='hs-varid'>m</span> <span class='hs-varop'>+</span> <span class='hs-varid'>alpha</span><span class='hs-varop'>*</span><span class='hs-varid'>n</span>
<a name="line-374"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>alpha</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-varid'>a</span>
<a name="line-375"></a> <span class='hs-varid'>alpha</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>fromRational</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-comment'>-</span><span class='hs-varid'>holdT</span><span class='hs-layout'>)</span><span class='hs-varop'>/</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-376"></a>
<a name="line-377"></a><a name="a2dConverter"></a><span class='hs-comment'>{- | The process 'a2dConverter' converts a continuous time signal to
<a name="line-378"></a> an untimed or synchronous signal. The first parameter gives the
<a name="line-379"></a> sampling period of the converter.
<a name="line-380"></a>
<a name="line-381"></a> Note, that the process 'a2dConverter' is an ideal component,
<a name="line-382"></a> i.e. there are no losses due to a limited resolution due to a fixed
<a name="line-383"></a> number of bits.
<a name="line-384"></a>-}</span>
<a name="line-385"></a><span class='hs-definition'>a2dConverter</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-keyglyph'>=></span>
<a name="line-386"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^Sampling Period</span>
<a name="line-387"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^Input signal (continuous time)</span>
<a name="line-388"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span> <span class='hs-comment'>-- ^Output signal (untimed)</span>
<a name="line-389"></a><span class='hs-definition'>a2dConverter</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-390"></a><span class='hs-definition'>a2dConverter</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</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-391"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-392"></a> <span class='hs-varop'>+-+</span> <span class='hs-varid'>a2dConverter</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-393"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f</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-keyglyph'>=></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-varid'>a</span>
<a name="line-394"></a> <span class='hs-varid'>f</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-395"></a> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>signal</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>g</span> <span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-396"></a>
<a name="line-397"></a><a name="applyF1"></a><span class='hs-comment'>--------------------------------------------------------------------</span>
<a name="line-398"></a><span class='hs-comment'>-- Helpter functions for the CT MoC:</span>
<a name="line-399"></a><span class='hs-comment'>-- | applyF1 applies a function on a sub-signal, which means the function of </span>
<a name="line-400"></a><span class='hs-comment'>-- the subsignal is transformed to another function:</span>
<a name="line-401"></a><span class='hs-definition'>applyF1</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'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-402"></a> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- The transformer</span>
<a name="line-403"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- The input signal</span>
<a name="line-404"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- The output signal</span>
<a name="line-405"></a><span class='hs-definition'>applyF1</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-406"></a><span class='hs-definition'>applyF1</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>applyF'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>applyF1</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-407"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>applyF'</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'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-408"></a> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-409"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-410"></a> <span class='hs-varid'>applyF'</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f'</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-411"></a>
<a name="line-412"></a><a name="applyF2"></a><span class='hs-comment'>-- | applyF2 works just like applyF1 but operates on two incoming signals.</span>
<a name="line-413"></a><span class='hs-definition'>applyF2</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'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-414"></a> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</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-layout'>(</span><span class='hs-conid'>Rational</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-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-415"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-416"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-417"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-418"></a><span class='hs-definition'>applyF2</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-419"></a><span class='hs-definition'>applyF2</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-420"></a><span class='hs-definition'>applyF2</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss1</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss2</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>applyF'</span> <span class='hs-varid'>f</span> <span class='hs-varid'>ss1</span> <span class='hs-varid'>ss2</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>applyF2</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-421"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>applyF'</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f1</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f2</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>d</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-422"></a> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-varop'>==</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-varop'>&&</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-varop'>==</span><span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-423"></a> <span class='hs-varop'>||</span> <span class='hs-layout'>(</span><span class='hs-varid'>abs</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-comment'>-</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-varop'><</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span>
<a name="line-424"></a> <span class='hs-varop'>||</span> <span class='hs-layout'>(</span><span class='hs-varid'>abs</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-comment'>-</span><span class='hs-varid'>d</span><span class='hs-layout'>)</span><span class='hs-varop'><</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span>
<a name="line-425"></a> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>f1</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-426"></a>
<a name="line-427"></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-layout'>(</span><span class='hs-str'>"applyF2: The two subintervals are"</span>
<a name="line-428"></a> <span class='hs-varop'>++</span> <span class='hs-str'>" not identical: (a,b) = ("</span>
<a name="line-429"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>", "</span>
<a name="line-430"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>"); (c,d) = ("</span>
<a name="line-431"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>", "</span>
<a name="line-432"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>")."</span><span class='hs-layout'>)</span>
<a name="line-433"></a>
<a name="line-434"></a><a name="applyG1"></a><span class='hs-comment'>-- | applyG1 is used to apply a next-state function. A very interesting</span>
<a name="line-435"></a><span class='hs-comment'>-- question is, what should be an argument to the next-state function: </span>
<a name="line-436"></a><span class='hs-comment'>-- the incoming function, defining the value of the input signal?</span>
<a name="line-437"></a><span class='hs-comment'>-- or the incoming function and the incoming interval?</span>
<a name="line-438"></a><span class='hs-comment'>-- or the value of the incoming signal at a particular point, e.g. at the </span>
<a name="line-439"></a><span class='hs-comment'>-- left most point of the interval?</span>
<a name="line-440"></a><span class='hs-comment'>-- To give the next-state function the interval itself as argument, would mean</span>
<a name="line-441"></a><span class='hs-comment'>-- that the process becomes time variant process, i.e. its behaviour is </span>
<a name="line-442"></a><span class='hs-comment'>-- dependent on the absolute time values. This is not a good thing to have!</span>
<a name="line-443"></a><span class='hs-comment'>-- Another possibility may be to give a sub-signal that is relative to the </span>
<a name="line-444"></a><span class='hs-comment'>-- current evaluation, i.e. the left most point is always 0. Would that make</span>
<a name="line-445"></a><span class='hs-comment'>-- sense?</span>
<a name="line-446"></a><span class='hs-definition'>applyG1</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-447"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</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'>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-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-448"></a><span class='hs-definition'>applyG1</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>w</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>w</span>
<a name="line-449"></a><span class='hs-definition'>applyG1</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span> <span class='hs-conop'>:-</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>applyG1'</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-varid'>ss</span>
<a name="line-450"></a> <span class='hs-keyword'>where</span>
<a name="line-451"></a> <span class='hs-varid'>applyG1'</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-452"></a> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</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'>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-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span>
<a name="line-453"></a> <span class='hs-varid'>applyG1'</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>w</span> <span class='hs-varid'>f</span>
<a name="line-454"></a>
<a name="line-455"></a><a name="cutEq"></a><span class='hs-comment'>-- | cutEq partitions the two signals such that the partitioning are identical</span>
<a name="line-456"></a><span class='hs-comment'>-- in both result signals, but only up to the duration of the shorter of the </span>
<a name="line-457"></a><span class='hs-comment'>-- two signals:</span>
<a name="line-458"></a><span class='hs-definition'>cutEq</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'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-459"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-460"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</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'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-461"></a><span class='hs-definition'>cutEq</span> <span class='hs-conid'>NullS</span> <span class='hs-varid'>s2</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-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-462"></a><span class='hs-definition'>cutEq</span> <span class='hs-varid'>s1</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span> <span class='hs-conid'>NullS</span><span class='hs-layout'>)</span>
<a name="line-463"></a><span class='hs-definition'>cutEq</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>cutEq'</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-464"></a> <span class='hs-keyword'>where</span>
<a name="line-465"></a> <span class='hs-varid'>cutEq'</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'>Num</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-466"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-467"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-468"></a> <span class='hs-varid'>cutEq'</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-469"></a> <span class='hs-varid'>cutEq'</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-470"></a> <span class='hs-varid'>cutEq'</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss1</span><span class='hs-conop'>:-</span><span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss2</span><span class='hs-conop'>:-</span><span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-471"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>dur1</span> <span class='hs-varop'>==</span> <span class='hs-varid'>dur2</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss1</span><span class='hs-layout'>,</span><span class='hs-varid'>ss2</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>cutEq'</span> <span class='hs-varid'>s1</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-472"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>dur1</span> <span class='hs-varop'><</span> <span class='hs-varid'>dur2</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss1</span><span class='hs-layout'>,</span> <span class='hs-varid'>takeSubSig</span> <span class='hs-varid'>dur1</span> <span class='hs-varid'>ss2</span><span class='hs-layout'>)</span>
<a name="line-473"></a> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>cutEq'</span> <span class='hs-varid'>s1</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>dropSubSig</span> <span class='hs-varid'>dur1</span> <span class='hs-varid'>ss2</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-474"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>dur1</span> <span class='hs-varop'>></span> <span class='hs-varid'>dur2</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeSubSig</span> <span class='hs-varid'>dur2</span> <span class='hs-varid'>ss1</span><span class='hs-layout'>,</span> <span class='hs-varid'>ss2</span><span class='hs-layout'>)</span>
<a name="line-475"></a> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>cutEq'</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>dropSubSig</span> <span class='hs-varid'>dur2</span> <span class='hs-varid'>ss1</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s1</span><span class='hs-layout'>)</span> <span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-476"></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-layout'>(</span><span class='hs-str'>"cutEq' pattern match error: dur1="</span><span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>dur1</span><span class='hs-layout'>)</span>
<a name="line-477"></a> <span class='hs-varop'>++</span> <span class='hs-str'>", dur2="</span><span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>dur2</span><span class='hs-layout'>)</span><span class='hs-varop'>++</span><span class='hs-str'>";"</span><span class='hs-layout'>)</span>
<a name="line-478"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>dur1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss1</span>
<a name="line-479"></a> <span class='hs-varid'>dur2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss2</span>
<a name="line-480"></a> <span class='hs-varid'>unzipCT</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span>
<a name="line-481"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-482"></a> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</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'>SubsigCT</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-483"></a> <span class='hs-varid'>unzipCT</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-484"></a> <span class='hs-varid'>unzipCT</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>ss1</span><span class='hs-layout'>,</span><span class='hs-varid'>ss2</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss1</span><span class='hs-conop'>:-</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span> <span class='hs-varid'>ss2</span><span class='hs-conop'>:-</span><span class='hs-varid'>s2</span><span class='hs-layout'>)</span>
<a name="line-485"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-varid'>s1</span><span class='hs-layout'>,</span><span class='hs-varid'>s2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>unzipCT</span> <span class='hs-varid'>s</span>
<a name="line-486"></a>
<a name="line-487"></a><a name="takeCT"></a><span class='hs-comment'>-- The take and drop functions on CT signals:</span>
<a name="line-488"></a><span class='hs-definition'>takeCT</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-keyglyph'>=></span>
<a name="line-489"></a> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-490"></a><span class='hs-definition'>takeCT</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-491"></a><span class='hs-definition'>takeCT</span> <span class='hs-num'>0</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>NullS</span>
<a name="line-492"></a><span class='hs-definition'>takeCT</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span><span class='hs-conop'>:-</span><span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss</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-layout'>(</span><span class='hs-varid'>takeSubSig</span> <span class='hs-varid'>c</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-conid'>NullS</span>
<a name="line-493"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ss</span> <span class='hs-conop'>:-</span> <span class='hs-layout'>(</span><span class='hs-varid'>takeCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span> <span class='hs-comment'>-</span> <span class='hs-layout'>(</span><span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-494"></a>
<a name="line-495"></a><a name="dropCT"></a><span class='hs-definition'>dropCT</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-keyglyph'>=></span>
<a name="line-496"></a> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-497"></a><span class='hs-definition'>dropCT</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-498"></a><span class='hs-definition'>dropCT</span> <span class='hs-num'>0</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-499"></a><span class='hs-definition'>dropCT</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span><span class='hs-conop'>:-</span><span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-layout'>(</span><span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss</span> <span class='hs-varop'>></span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dropSubSig</span> <span class='hs-varid'>c</span> <span class='hs-varid'>ss</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s</span>
<a name="line-500"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>dropCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span> <span class='hs-comment'>-</span> <span class='hs-layout'>(</span><span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>s</span>
<a name="line-501"></a>
<a name="line-502"></a><a name="duration"></a><span class='hs-comment'>-- The interval length of a signal:</span>
<a name="line-503"></a><span class='hs-definition'>duration</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-keyglyph'>=></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span>
<a name="line-504"></a><span class='hs-definition'>duration</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span>
<a name="line-505"></a><span class='hs-definition'>duration</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span><span class='hs-conop'>:-</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>durationSS</span> <span class='hs-varid'>ss</span><span class='hs-layout'>)</span> <span class='hs-varop'>+</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-506"></a>
<a name="line-507"></a><a name="durationSS"></a><span class='hs-comment'>-- The interval length of a sub-signal:</span>
<a name="line-508"></a><span class='hs-definition'>durationSS</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-keyglyph'>=></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span>
<a name="line-509"></a><span class='hs-definition'>durationSS</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>b</span><span class='hs-comment'>-</span><span class='hs-varid'>a</span>
<a name="line-510"></a>
<a name="line-511"></a><a name="startTime"></a><span class='hs-comment'>-- The start time of a signal:</span>
<a name="line-512"></a><span class='hs-definition'>startTime</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-keyglyph'>=></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span>
<a name="line-513"></a><span class='hs-definition'>startTime</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span>
<a name="line-514"></a><span class='hs-definition'>startTime</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:-</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span>
<a name="line-515"></a>
<a name="line-516"></a><a name="takeSubSig"></a><span class='hs-comment'>-- The take and drop functions for sub-signals:</span>
<a name="line-517"></a><span class='hs-definition'>takeSubSig</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-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-518"></a><span class='hs-definition'>takeSubSig</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>c</span> <span class='hs-varop'>>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-comment'>-</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-519"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-varop'>+</span><span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-520"></a>
<a name="line-521"></a>
<a name="line-522"></a><a name="dropSubSig"></a><span class='hs-definition'>dropSubSig</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-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-523"></a><span class='hs-definition'>dropSubSig</span> <span class='hs-varid'>c</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>c</span> <span class='hs-varop'>></span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-comment'>-</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-524"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-varop'>+</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-525"></a>
<a name="line-526"></a><span class='hs-comment'>-----------------------------------------------------------------------</span>
<a name="line-527"></a><span class='hs-comment'>-- Functions to display and plot signals:</span>
<a name="line-528"></a><span class='hs-comment'>-----------------------------------------------------------------------</span>
<a name="line-529"></a><span class='hs-comment'>{- $plotdoc
<a name="line-530"></a> Several functions are available to display a signal in textual or
<a name="line-531"></a> graphics form. All displaying of signals is based on sampling and
<a name="line-532"></a> evaluation the signal at regular sampling points.
<a name="line-533"></a>
<a name="line-534"></a> The function 'sample' evaluates the signal and returns a list of
<a name="line-535"></a> (time,value) pairs, which can be displayed as text or used in any other way.
<a name="line-536"></a>
<a name="line-537"></a> 'showParts' does not evaluate the signal; it only shows how it is
<a name="line-538"></a> partitioned. Hence, it returns a sequence of intervals.
<a name="line-539"></a>
<a name="line-540"></a> 'plot', 'plotCT' and 'plotCT'' can plot a signal or a list of signals
<a name="line-541"></a> in a graph. They use @gnuplot@ for doing the actual work.
<a name="line-542"></a> They are in the IO monad because they write to the file system.
<a name="line-543"></a>
<a name="line-544"></a> 'plot' is defined in terms of 'plotCT' but it uses the default sampling
<a name="line-545"></a> period 'timeStep' and it can plot only one signal in a plot.
<a name="line-546"></a>
<a name="line-547"></a> 'plotCT' can plot a list of signals in the same plot.
<a name="line-548"></a> 'plotCT' is defined in terms of 'plotCT'' but uses
<a name="line-549"></a> default label names for the plot.
<a name="line-550"></a>
<a name="line-551"></a> 'vcdGen' writes the values of signals in Value Change Dump (VCD) format to
<a name="line-552"></a> a file. There are public domain wave viewers which understand this format
<a name="line-553"></a> and can display the signals.
<a name="line-554"></a>-}</span>
<a name="line-555"></a>
<a name="line-556"></a><a name="sample"></a><span class='hs-comment'>-- |'sample' computes the values of a signal with a given step size. </span>
<a name="line-557"></a><span class='hs-comment'>-- It returns a list with (x, (f x)) pairs of type [(Rational,Rational)].</span>
<a name="line-558"></a><span class='hs-definition'>sample</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-keyglyph'>=></span>
<a name="line-559"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^ The sampling period</span>
<a name="line-560"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The signal to be sampled</span>
<a name="line-561"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-comment'>-- ^The list of (time,value) pairs of the </span>
<a name="line-562"></a> <span class='hs-comment'>-- evaluated signal</span>
<a name="line-563"></a><span class='hs-definition'>sample</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-564"></a><span class='hs-definition'>sample</span> <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-varid'>ss</span> <span class='hs-conop'>:-</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sampleSubsig</span> <span class='hs-varid'>step</span> <span class='hs-varid'>ss</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>sample</span> <span class='hs-varid'>step</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-565"></a>
<a name="line-566"></a><a name="sampleSubsig"></a><span class='hs-comment'>-- sampleSubsig samples a Subsig signal:</span>
<a name="line-567"></a><span class='hs-definition'>sampleSubsig</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-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-568"></a><span class='hs-definition'>sampleSubsig</span> <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-569"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>b</span><span class='hs-varop'>></span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>sampleSubsig</span> <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-varop'>+</span><span class='hs-varid'>step</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-570"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-571"></a>
<a name="line-572"></a><a name="showParts"></a><span class='hs-comment'>-- |'showParts' allows to see how a signal is partitioned into sub-signals.</span>
<a name="line-573"></a><span class='hs-comment'>-- It returns the sequence of intervals.</span>
<a name="line-574"></a><span class='hs-definition'>showParts</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-keyglyph'>=></span>
<a name="line-575"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The partitioned signal</span>
<a name="line-576"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Double</span><span class='hs-layout'>,</span><span class='hs-conid'>Double</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-comment'>-- ^The sequence of intervals</span>
<a name="line-577"></a><span class='hs-definition'>showParts</span> <span class='hs-conid'>NullS</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-578"></a><span class='hs-definition'>showParts</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-conop'>:-</span><span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span><span class='hs-varid'>fromRational</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-579"></a> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>showParts</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-580"></a>
<a name="line-581"></a><a name="plot"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-582"></a><span class='hs-comment'>-- |'plot' plots one signal in a graph with the default sampling period </span>
<a name="line-583"></a><span class='hs-comment'>-- of 1\/200 of the duration of the signal.</span>
<a name="line-584"></a><span class='hs-definition'>plot</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-keyglyph'>=></span>
<a name="line-585"></a> <span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-comment'>-- ^The signal to be plotted.</span>
<a name="line-586"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- ^A reporting message.</span>
<a name="line-587"></a><span class='hs-definition'>plot</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>plotCT</span> <span class='hs-varid'>step</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>]</span>
<a name="line-588"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>step</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>duration</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varop'>/</span> <span class='hs-num'>200.0</span>
<a name="line-589"></a>
<a name="line-590"></a><a name="plotCT"></a><span class='hs-comment'>-- |'plotCT' plots a list of signals in the same graph. The sampling period </span>
<a name="line-591"></a><span class='hs-comment'>-- has to be given as argument. In the graph default label names are used</span>
<a name="line-592"></a><span class='hs-comment'>-- to identify the signals.</span>
<a name="line-593"></a><span class='hs-definition'>plotCT</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-keyglyph'>=></span>
<a name="line-594"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^The sampling period</span>
<a name="line-595"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-comment'>-- ^The list of signals to be ploted </span>
<a name="line-596"></a> <span class='hs-comment'>-- in the same graph</span>
<a name="line-597"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- ^A messeage reporting what has been done.</span>
<a name="line-598"></a><span class='hs-definition'>plotCT</span> <span class='hs-varid'>step</span> <span class='hs-varid'>sigs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>plotCT'</span> <span class='hs-varid'>step</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-layout'>,</span><span class='hs-str'>""</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-599"></a>
<a name="line-600"></a><a name="plotCT'"></a><span class='hs-comment'>{- |
<a name="line-601"></a> 'plotCT'' is the work horse for plotting and the functions 'plot' and
<a name="line-602"></a> 'plotCT' use it with specialising arguments.
<a name="line-603"></a>
<a name="line-604"></a> 'plotCT'' plots all the signals in the list in one graph. If a label is
<a name="line-605"></a> given for a signal, this label appears in the graph. If the label string is
<a name="line-606"></a> \"\", a default label like \"sig-1\" is used.
<a name="line-607"></a>
<a name="line-608"></a> In addition to displaying the graph on the screen, the following files
<a name="line-609"></a> are created in directory .\/fig:
<a name="line-610"></a>
<a name="line-611"></a> [ct-moc-graph.eps] an eps file of the complete graph
<a name="line-612"></a>
<a name="line-613"></a> [ct-moc-graph.pdf] A pdf file of the complete graph
<a name="line-614"></a>
<a name="line-615"></a> [ct-moc-graph-latex.eps] included by ct-moc-graph-latex.tex
<a name="line-616"></a>
<a name="line-617"></a> [ct-moc-graph-latex.tex] This is the tex file that should be included
<a name="line-618"></a> by your latex document. It in turn includes
<a name="line-619"></a> the file ct-moc-graph-latex.eps.
<a name="line-620"></a> These two files have to be used together;
<a name="line-621"></a> the .eps file contains only the graphics,
<a name="line-622"></a> while the .tex file contains the labels and
<a name="line-623"></a> text.
<a name="line-624"></a>-}</span>
<a name="line-625"></a><span class='hs-definition'>plotCT'</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-keyglyph'>=></span>
<a name="line-626"></a> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^Sampling period</span>
<a name="line-627"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>String</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-628"></a> <span class='hs-comment'>-- ^A list of (signal,label) pairs. The signals are plotted and</span>
<a name="line-629"></a> <span class='hs-comment'>-- denoted by the corresponding labels in the plot.</span>
<a name="line-630"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- ^A simple message to report completion</span>
<a name="line-631"></a><span class='hs-definition'>plotCT'</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>[]</span>
<a name="line-632"></a><span class='hs-definition'>plotCT'</span> <span class='hs-num'>0</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"plotCT: Cannot compute signal with step=0.\n"</span>
<a name="line-633"></a><span class='hs-definition'>plotCT'</span> <span class='hs-varid'>step</span> <span class='hs-varid'>sigs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>plotSig</span> <span class='hs-layout'>(</span><span class='hs-varid'>expandSig</span> <span class='hs-num'>1</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-634"></a> <span class='hs-keyword'>where</span>
<a name="line-635"></a> <span class='hs-varid'>expandSig</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-keyglyph'>=></span>
<a name="line-636"></a> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-637"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-638"></a> <span class='hs-varid'>expandSig</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-639"></a> <span class='hs-varid'>expandSig</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>sig</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-640"></a> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>label</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>sample</span> <span class='hs-varid'>step</span> <span class='hs-varid'>sig</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>expandSig</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-641"></a> <span class='hs-varid'>plotSig</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-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span>
<a name="line-642"></a> <span class='hs-varid'>plotSig</span> <span class='hs-varid'>sigs</span>
<a name="line-643"></a> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>mkDir</span> <span class='hs-str'>"./fig"</span>
<a name="line-644"></a> <span class='hs-varid'>writeDatFiles</span> <span class='hs-varid'>sigs</span>
<a name="line-645"></a> <span class='hs-comment'>-- We write the gnuplot script to a file;</span>
<a name="line-646"></a> <span class='hs-comment'>-- But we try several times with a different name because </span>
<a name="line-647"></a> <span class='hs-comment'>-- with ghc on cygwin we cannot write to a script file while</span>
<a name="line-648"></a> <span class='hs-comment'>-- gnuplot is still running with the old script file:</span>
<a name="line-649"></a> <span class='hs-varid'>fname</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>tryNTimes</span> <span class='hs-num'>10</span>
<a name="line-650"></a> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>file</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>writeFile</span> <span class='hs-varid'>file</span>
<a name="line-651"></a> <span class='hs-layout'>(</span><span class='hs-varid'>mkPlotScript</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>mkDatFileName</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-652"></a> <span class='hs-comment'>-- We fire up gnuplot:</span>
<a name="line-653"></a> <span class='hs-varid'>system</span> <span class='hs-layout'>(</span><span class='hs-str'>"gnuplot -persist "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>fname</span><span class='hs-layout'>)</span>
<a name="line-654"></a> <span class='hs-comment'>-- We return some reporting string:</span>
<a name="line-655"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-str'>"Signal(s) "</span> <span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>mkAllLabels</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>" plotted."</span><span class='hs-layout'>)</span>
<a name="line-656"></a> <span class='hs-varid'>writeDatFiles</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-657"></a> <span class='hs-varid'>writeDatFiles</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-varid'>sig</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-658"></a> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>writeFile</span> <span class='hs-layout'>(</span><span class='hs-varid'>fst</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkDatFileName</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>dumpSig</span> <span class='hs-varid'>sig</span><span class='hs-layout'>)</span>
<a name="line-659"></a> <span class='hs-varid'>writeDatFiles</span> <span class='hs-varid'>sigs</span>
<a name="line-660"></a> <span class='hs-varid'>mkDatFileName</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>)</span>
<a name="line-661"></a> <span class='hs-varid'>mkDatFileName</span> <span class='hs-layout'>(</span><span class='hs-varid'>sigid</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-str'>"./fig/ct-moc-"</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>replChar</span> <span class='hs-str'>">"</span> <span class='hs-varid'>label</span><span class='hs-layout'>)</span>
<a name="line-662"></a> <span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>sigid</span><span class='hs-layout'>)</span><span class='hs-varop'>++</span><span class='hs-str'>".dat"</span><span class='hs-layout'>,</span>
<a name="line-663"></a> <span class='hs-layout'>(</span><span class='hs-varid'>mkLabel</span> <span class='hs-varid'>label</span> <span class='hs-varid'>sigid</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-664"></a> <span class='hs-varid'>mkLabel</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-665"></a> <span class='hs-varid'>mkLabel</span> <span class='hs-str'>""</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"sig-"</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>n</span>
<a name="line-666"></a> <span class='hs-varid'>mkLabel</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span>
<a name="line-667"></a> <span class='hs-varid'>mkAllLabels</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-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-668"></a> <span class='hs-varid'>mkAllLabels</span> <span class='hs-varid'>sigs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>drop</span> <span class='hs-num'>2</span> <span class='hs-layout'>(</span><span class='hs-varid'>foldl</span> <span class='hs-varid'>f</span> <span class='hs-str'>""</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-669"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f</span> <span class='hs-varid'>labelString</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span>
<a name="line-670"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labelString</span> <span class='hs-varop'>++</span> <span class='hs-str'>", "</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkLabel</span> <span class='hs-varid'>label</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-671"></a> <span class='hs-varid'>replChar</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- all characters given in this set are replaced by '_'</span>
<a name="line-672"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- the string where characters are replaced</span>
<a name="line-673"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- the result string with all characters replaced</span>
<a name="line-674"></a> <span class='hs-varid'>replChar</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>s</span>
<a name="line-675"></a> <span class='hs-varid'>replChar</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-676"></a> <span class='hs-varid'>replChar</span> <span class='hs-varid'>replSet</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-conop'>:</span><span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>elem</span> <span class='hs-varid'>c</span> <span class='hs-varid'>replSet</span> <span class='hs-keyglyph'>=</span> <span class='hs-chr'>'_'</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>replChar</span> <span class='hs-varid'>replSet</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-677"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>c</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>replChar</span> <span class='hs-varid'>replSet</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span>
<a name="line-678"></a> <span class='hs-varid'>dumpSig</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-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-679"></a> <span class='hs-varid'>dumpSig</span> <span class='hs-varid'>points</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concatMap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>points</span>
<a name="line-680"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f</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'>show</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Float</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>" "</span>
<a name="line-681"></a> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>"\n"</span>
<a name="line-682"></a>
<a name="line-683"></a> <span class='hs-varid'>mkPlotScript</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span> <span class='hs-comment'>-- the file name of the dat file</span>
<a name="line-684"></a> <span class='hs-layout'>,</span><span class='hs-conid'>String</span> <span class='hs-comment'>-- the label for the signal to be drawn</span>
<a name="line-685"></a> <span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- the gnuplot script</span>
<a name="line-686"></a> <span class='hs-varid'>mkPlotScript</span> <span class='hs-varid'>ns</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"set xlabel \"seconds\" \n"</span>
<a name="line-687"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"plot "</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>f1</span> <span class='hs-varid'>ns</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>"\n"</span>
<a name="line-688"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"set terminal postscript eps color\n"</span>
<a name="line-689"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"set output \""</span> <span class='hs-varop'>++</span> <span class='hs-varid'>plotFileName</span><span class='hs-varop'>++</span><span class='hs-str'>".eps\"\n"</span>
<a name="line-690"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"replot \n"</span>
<a name="line-691"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"set terminal epslatex color\n"</span>
<a name="line-692"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"set output \""</span> <span class='hs-varop'>++</span> <span class='hs-varid'>plotFileName</span><span class='hs-varop'>++</span><span class='hs-str'>"-latex.eps\"\n"</span>
<a name="line-693"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"replot\n"</span>
<a name="line-694"></a> <span class='hs-comment'>-- ++ "set terminal pdf\n"</span>
<a name="line-695"></a> <span class='hs-comment'>-- ++ "set output \"fig/ct-moc-graph.pdf\"\n"</span>
<a name="line-696"></a> <span class='hs-comment'>-- ++ "replot\n"</span>
<a name="line-697"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f1</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-698"></a> <span class='hs-varid'>f1</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>datfilename</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-conop'>:</span><span class='hs-varid'>ns</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-699"></a> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"\t\""</span> <span class='hs-varop'>++</span> <span class='hs-varid'>datfilename</span>
<a name="line-700"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"\" with linespoints title \""</span><span class='hs-varop'>++</span><span class='hs-varid'>label</span><span class='hs-varop'>++</span><span class='hs-str'>"\",\\\n"</span>
<a name="line-701"></a> <span class='hs-varop'>++</span> <span class='hs-str'>" "</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>f1</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-conop'>:</span><span class='hs-varid'>ns</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-702"></a> <span class='hs-varid'>f1</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>datfilename</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-conid'>[]</span><span class='hs-layout'>)</span>
<a name="line-703"></a> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"\""</span> <span class='hs-varop'>++</span> <span class='hs-varid'>datfilename</span>
<a name="line-704"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"\" with linespoints title \""</span><span class='hs-varop'>++</span><span class='hs-varid'>label</span><span class='hs-varop'>++</span><span class='hs-str'>"\"\n"</span>
<a name="line-705"></a> <span class='hs-varid'>f1</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>""</span>
<a name="line-706"></a> <span class='hs-varid'>plotFileName</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"fig/ct-moc-graph-"</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>f2</span> <span class='hs-varid'>ns</span><span class='hs-layout'>)</span>
<a name="line-707"></a> <span class='hs-varid'>f2</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- f2 generates part of the </span>
<a name="line-708"></a> <span class='hs-comment'>-- filename for the eps and </span>
<a name="line-709"></a> <span class='hs-comment'>-- latex files, which is </span>
<a name="line-710"></a> <span class='hs-comment'>-- determined by the signal</span>
<a name="line-711"></a> <span class='hs-comment'>-- labels.</span>
<a name="line-712"></a> <span class='hs-varid'>f2</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>""</span>
<a name="line-713"></a> <span class='hs-varid'>f2</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-conid'>[]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>label</span>
<a name="line-714"></a> <span class='hs-varid'>f2</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>label</span> <span class='hs-varop'>++</span> <span class='hs-str'>"_"</span>
<a name="line-715"></a> <span class='hs-comment'>-- tryNTimes applies a given actions at most n times. Everytime</span>
<a name="line-716"></a> <span class='hs-comment'>-- the action is applied and an error occurrs, it tries again but </span>
<a name="line-717"></a> <span class='hs-comment'>-- with a decremented first argument. It also changes the file name</span>
<a name="line-718"></a> <span class='hs-comment'>-- because the file name uses the n as part of the name.</span>
<a name="line-719"></a> <span class='hs-comment'>-- The idea is that the action tries different files to operate on.</span>
<a name="line-720"></a> <span class='hs-comment'>-- The problem was that when gnuplot was called on a gnuplot script</span>
<a name="line-721"></a> <span class='hs-comment'>-- file, it was not possible to write a new script file with the same</span>
<a name="line-722"></a> <span class='hs-comment'>-- name and start a new gnuplot process (at least not with ghc or ghci on </span>
<a name="line-723"></a> <span class='hs-comment'>-- cygwin; it worked fine with hugs on cygwin). </span>
<a name="line-724"></a> <span class='hs-comment'>-- So we go around the problem here by trying different file names until</span>
<a name="line-725"></a> <span class='hs-comment'>-- we succeed or until the maximum number of attempts have been performed.</span>
<a name="line-726"></a> <span class='hs-varid'>tryNTimes</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-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span>
<a name="line-727"></a> <span class='hs-varid'>tryNTimes</span> <span class='hs-varid'>n</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'><=</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"tryNTimes: not succedded"</span>
<a name="line-728"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span>
<a name="line-729"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>catch</span> <span class='hs-layout'>(</span><span class='hs-varid'>action</span> <span class='hs-varid'>fname</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>handler</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-730"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>handler</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span><span class='hs-conid'>()</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IOError</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span>
<a name="line-731"></a> <span class='hs-varid'>handler</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>tryNTimes</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span>
<a name="line-732"></a> <span class='hs-varid'>fname</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"./fig/ct-moc-"</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>".gnuplot"</span>
<a name="line-733"></a> <span class='hs-varid'>action</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>()</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span>
<a name="line-734"></a> <span class='hs-varid'>action</span> <span class='hs-varid'>fname</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varid'>fname</span><span class='hs-layout'>)</span>
<a name="line-735"></a> <span class='hs-varid'>return</span> <span class='hs-varid'>fname</span>
<a name="line-736"></a> <span class='hs-varid'>tryNTimes</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"tryNTimes: Unexpected pattern."</span>
<a name="line-737"></a>
<a name="line-738"></a><a name="vcdGen"></a><span class='hs-comment'>----------------------------------------------------------------------------</span>
<a name="line-739"></a><span class='hs-comment'>{- |
<a name="line-740"></a>vcdGen dumps the values of a list of signal in VCD (Value Change Dump) format
<a name="line-741"></a>(IEEE Std 1364-2001), which is part of the Verilog standard
<a name="line-742"></a>(<<a href="http://en.wikipedia.org/wiki/Value_change_dump">http://en.wikipedia.org/wiki/Value_change_dump</a>>).
<a name="line-743"></a>There are public domain tools to view VCD files. For instance,
<a name="line-744"></a>GTKWave (<<a href="http://home.nc.rr.com/gtkwave/">http://home.nc.rr.com/gtkwave/</a>>) is a popular viewer available for
<a name="line-745"></a>Windows and Linux.
<a name="line-746"></a>
<a name="line-747"></a>The values are written to the file ./fig/ct-moc.vcd. If the file exists, it
<a name="line-748"></a>is overwritten. If the directory does not exist, it is created.
<a name="line-749"></a>
<a name="line-750"></a>-}</span>
<a name="line-751"></a><span class='hs-definition'>vcdGen</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>
<a name="line-752"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-comment'>-- ^Sampling period; defines for what</span>
<a name="line-753"></a> <span class='hs-comment'>-- time stamps the values are written.</span>
<a name="line-754"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-conid'>String</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-755"></a> <span class='hs-comment'>-- ^A list of (signal,label) pairs. The signal values written and</span>
<a name="line-756"></a> <span class='hs-comment'>-- denoted by the corresponding labels.</span>
<a name="line-757"></a> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span> <span class='hs-comment'>-- ^A simple message to report completion</span>
<a name="line-758"></a><span class='hs-definition'>vcdGen</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>[]</span>
<a name="line-759"></a><span class='hs-definition'>vcdGen</span> <span class='hs-num'>0</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"vcdgen: Cannot compute signals with step=0.\n"</span>
<a name="line-760"></a><span class='hs-definition'>vcdGen</span> <span class='hs-varid'>step</span> <span class='hs-varid'>sigs</span> <span class='hs-keyglyph'>=</span>
<a name="line-761"></a> <span class='hs-keyword'>do</span>
<a name="line-762"></a> <span class='hs-comment'>-- putStr (show (distLabels (expandSig 1 sigs)))</span>
<a name="line-763"></a> <span class='hs-varid'>plotSig</span> <span class='hs-layout'>(</span><span class='hs-varid'>expandSig</span> <span class='hs-num'>1</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-764"></a> <span class='hs-keyword'>where</span>
<a name="line-765"></a> <span class='hs-varid'>expandSig</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-keyglyph'>=></span>
<a name="line-766"></a> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Signal</span> <span class='hs-layout'>(</span><span class='hs-conid'>SubsigCT</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-767"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-768"></a> <span class='hs-varid'>expandSig</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-769"></a> <span class='hs-varid'>expandSig</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>sig</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-770"></a> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-layout'>,</span> <span class='hs-varid'>label</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>sample</span> <span class='hs-varid'>step</span> <span class='hs-varid'>sig</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>expandSig</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-771"></a> <span class='hs-varid'>plotSig</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-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span> <span class='hs-conid'>String</span>
<a name="line-772"></a> <span class='hs-varid'>plotSig</span> <span class='hs-varid'>sigs</span>
<a name="line-773"></a> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>writeVCDFile</span> <span class='hs-varid'>sigs</span>
<a name="line-774"></a> <span class='hs-comment'>-- We return some reporting string:</span>
<a name="line-775"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-str'>"Signal(s) "</span> <span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>mkAllLabels</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>" dumped."</span><span class='hs-layout'>)</span>
<a name="line-776"></a> <span class='hs-varid'>mkLabel</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-777"></a> <span class='hs-varid'>mkLabel</span> <span class='hs-str'>""</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"sig-"</span> <span class='hs-varop'>++</span> <span class='hs-varid'>show</span> <span class='hs-varid'>n</span>
<a name="line-778"></a> <span class='hs-varid'>mkLabel</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span>
<a name="line-779"></a> <span class='hs-varid'>mkAllLabels</span> <span class='hs-varid'>sigs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>drop</span> <span class='hs-num'>2</span> <span class='hs-layout'>(</span><span class='hs-varid'>foldl</span> <span class='hs-varid'>f</span> <span class='hs-str'>""</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-780"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>f</span> <span class='hs-varid'>labelString</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span>
<a name="line-781"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>labelString</span> <span class='hs-varop'>++</span> <span class='hs-str'>", "</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>mkLabel</span> <span class='hs-varid'>label</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-782"></a> <span class='hs-varid'>writeVCDFile</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span><span class='hs-conid'>()</span>
<a name="line-783"></a> <span class='hs-varid'>writeVCDFile</span> <span class='hs-varid'>sigs</span>
<a name="line-784"></a> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span>
<a name="line-785"></a> <span class='hs-varid'>mkDir</span> <span class='hs-str'>"./fig"</span>
<a name="line-786"></a> <span class='hs-varid'>clocktime</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>getClockTime</span>
<a name="line-787"></a> <span class='hs-keyword'>let</span> <span class='hs-layout'>{</span><span class='hs-varid'>date</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>calendarTimeToString</span> <span class='hs-layout'>(</span><span class='hs-varid'>toUTCTime</span> <span class='hs-varid'>clocktime</span><span class='hs-layout'>)</span><span class='hs-layout'>;</span>
<a name="line-788"></a> <span class='hs-varid'>labels</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>getLabels</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>;</span>
<a name="line-789"></a> <span class='hs-varid'>timescale</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>findTimescale</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>;</span><span class='hs-layout'>}</span>
<a name="line-790"></a> <span class='hs-keyword'>in</span> <span class='hs-varid'>writeFile</span> <span class='hs-varid'>mkVCDFileName</span>
<a name="line-791"></a> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>vcdHeader</span> <span class='hs-varid'>timescale</span> <span class='hs-varid'>labels</span> <span class='hs-varid'>date</span><span class='hs-layout'>)</span>
<a name="line-792"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>valueDump</span> <span class='hs-varid'>timescale</span> <span class='hs-layout'>(</span><span class='hs-varid'>prepSigValues</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-793"></a> <span class='hs-varid'>mkVCDFileName</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span>
<a name="line-794"></a> <span class='hs-varid'>mkVCDFileName</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-str'>"./fig/ct-moc.vcd"</span><span class='hs-layout'>)</span>
<a name="line-795"></a>
<a name="line-796"></a><a name="mkDir"></a><span class='hs-definition'>mkDir</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>IO</span><span class='hs-conid'>()</span>
<a name="line-797"></a><span class='hs-definition'>mkDir</span> <span class='hs-varid'>dir</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>dirExists</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>doesDirectoryExist</span> <span class='hs-varid'>dir</span>
<a name="line-798"></a> <span class='hs-keyword'>if</span> <span class='hs-layout'>(</span><span class='hs-varid'>not</span> <span class='hs-varid'>dirExists</span><span class='hs-layout'>)</span>
<a name="line-799"></a> <span class='hs-keyword'>then</span> <span class='hs-layout'>(</span><span class='hs-varid'>createDirectory</span> <span class='hs-varid'>dir</span><span class='hs-layout'>)</span>
<a name="line-800"></a> <span class='hs-keyword'>else</span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-801"></a>
<a name="line-802"></a><a name="prepSigValues"></a><span class='hs-comment'>-- prepSigValues rearranges the [(label,[(time,value)])] lists such </span>
<a name="line-803"></a><span class='hs-comment'>-- that we get a list of time time stamps and for each time stamp </span>
<a name="line-804"></a><span class='hs-comment'>-- we have a list of (label,value) pairs to be dumped:</span>
<a name="line-805"></a><span class='hs-definition'>prepSigValues</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-806"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-807"></a><span class='hs-definition'>prepSigValues</span> <span class='hs-varid'>sigs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f2</span> <span class='hs-layout'>(</span><span class='hs-varid'>distLabels</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-808"></a> <span class='hs-keyword'>where</span>
<a name="line-809"></a> <span class='hs-comment'>-- f2 transforms a [[(label,time,value)]] </span>
<a name="line-810"></a> <span class='hs-comment'>-- into a [(time, [label,value])] structure:</span>
<a name="line-811"></a> <span class='hs-varid'>f2</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-812"></a> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-813"></a> <span class='hs-varid'>f2</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-814"></a> <span class='hs-varid'>f2</span> <span class='hs-layout'>(</span><span class='hs-conid'>[]</span><span class='hs-conop'>:</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-815"></a> <span class='hs-varid'>f2</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f3</span> <span class='hs-varid'>hdxs</span> <span class='hs-conop'>:</span> <span class='hs-varid'>f2</span> <span class='hs-varid'>tailxs</span>
<a name="line-816"></a> <span class='hs-keyword'>where</span>
<a name="line-817"></a> <span class='hs-comment'>-- here we take all first elements of the lists in xs</span>
<a name="line-818"></a> <span class='hs-comment'>-- and the tail of the lists in xs:</span>
<a name="line-819"></a> <span class='hs-layout'>(</span><span class='hs-varid'>hdxs</span><span class='hs-layout'>,</span><span class='hs-varid'>tailxs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>g1</span> <span class='hs-varid'>xs</span><span class='hs-layout'>,</span>
<a name="line-820"></a> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>-></span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-821"></a> <span class='hs-varid'>g1</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-layout'>(</span><span class='hs-str'>"prepSig.f2.g1: first element of xs is empty:"</span>
<a name="line-822"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"xs="</span><span class='hs-varop'>++</span><span class='hs-varid'>show</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-823"></a> <span class='hs-varid'>g1</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span>
<a name="line-824"></a> <span class='hs-varid'>f3</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-825"></a> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-826"></a> <span class='hs-varid'>f3</span> <span class='hs-layout'>(</span><span class='hs-varid'>valList</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-varid'>time</span><span class='hs-layout'>,</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-keyword'>_</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>time</span><span class='hs-layout'>,</span> <span class='hs-varid'>f4</span> <span class='hs-varid'>time</span> <span class='hs-varid'>valList</span><span class='hs-layout'>)</span>
<a name="line-827"></a> <span class='hs-varid'>f3</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-layout'>(</span><span class='hs-str'>"prepSigValues.f2.f3: "</span>
<a name="line-828"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"empty (label,time,value)-list"</span><span class='hs-layout'>)</span>
<a name="line-829"></a> <span class='hs-varid'>f4</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-830"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-831"></a> <span class='hs-varid'>f4</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-832"></a> <span class='hs-varid'>f4</span> <span class='hs-varid'>time</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-varid'>time1</span><span class='hs-layout'>,</span><span class='hs-varid'>value</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>valList</span><span class='hs-layout'>)</span>
<a name="line-833"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>time</span> <span class='hs-varop'>==</span> <span class='hs-varid'>time1</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-varid'>value</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-varid'>f4</span> <span class='hs-varid'>time</span> <span class='hs-varid'>valList</span>
<a name="line-834"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span>
<a name="line-835"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-layout'>(</span><span class='hs-str'>"prepSigValues: Time stamps in different"</span>
<a name="line-836"></a> <span class='hs-varop'>++</span> <span class='hs-str'>" signals do not match: time="</span>
<a name="line-837"></a> <span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>time</span><span class='hs-layout'>)</span><span class='hs-varop'>++</span><span class='hs-str'>", time1="</span><span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>time1</span><span class='hs-layout'>)</span>
<a name="line-838"></a> <span class='hs-varop'>++</span><span class='hs-str'>", label="</span><span class='hs-varop'>++</span><span class='hs-varid'>label</span><span class='hs-varop'>++</span><span class='hs-str'>", value="</span><span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>value</span><span class='hs-layout'>)</span>
<a name="line-839"></a> <span class='hs-varop'>++</span><span class='hs-str'>"!"</span><span class='hs-layout'>)</span>
<a name="line-840"></a><a name="distLabels"></a><span class='hs-comment'>-- distLabels inserts the labels into its corresponding </span>
<a name="line-841"></a><span class='hs-comment'>-- (time,value) pair list to get a (label,time,value) triple:</span>
<a name="line-842"></a><span class='hs-definition'>distLabels</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-843"></a> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-844"></a><span class='hs-definition'>distLabels</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-845"></a><span class='hs-definition'>distLabels</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-varid'>valList</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-846"></a> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>label</span><span class='hs-layout'>,</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>valList</span><span class='hs-layout'>)</span> <span class='hs-conop'>:</span> <span class='hs-layout'>(</span><span class='hs-varid'>distLabels</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-847"></a><a name="getLabels"></a><span class='hs-definition'>getLabels</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>String</span><span class='hs-keyglyph'>]</span>
<a name="line-848"></a><span class='hs-definition'>getLabels</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>label</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'>label</span><span class='hs-layout'>)</span>
<a name="line-849"></a><a name="vcdHeader"></a><span class='hs-definition'>vcdHeader</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>String</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-850"></a><span class='hs-definition'>vcdHeader</span> <span class='hs-varid'>timescale</span> <span class='hs-varid'>labels</span> <span class='hs-varid'>date</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"$date\n"</span>
<a name="line-851"></a> <span class='hs-varop'>++</span> <span class='hs-varid'>date</span> <span class='hs-varop'>++</span> <span class='hs-str'>"\n"</span>
<a name="line-852"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$end\n"</span>
<a name="line-853"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$version\n"</span>
<a name="line-854"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"ForSyDe CTLib "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>revision</span> <span class='hs-varop'>++</span> <span class='hs-str'>"\n"</span>
<a name="line-855"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$end\n"</span>
<a name="line-856"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$timescale 1 "</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>timeunit</span> <span class='hs-varid'>timescale</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-str'>" $end\n"</span>
<a name="line-857"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$scope module top $end\n"</span>
<a name="line-858"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>concatMap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>label</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-str'>"$var real 64 "</span><span class='hs-varop'>++</span><span class='hs-varid'>label</span>
<a name="line-859"></a> <span class='hs-varop'>++</span> <span class='hs-str'>" "</span> <span class='hs-varop'>++</span> <span class='hs-varid'>label</span>
<a name="line-860"></a> <span class='hs-varop'>++</span> <span class='hs-str'>" $end\n"</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>labels</span><span class='hs-layout'>)</span>
<a name="line-861"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$upscope $end\n"</span>
<a name="line-862"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$enddefinitions $end\n"</span>
<a name="line-863"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"#0\n"</span>
<a name="line-864"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"$dumpvars\n"</span>
<a name="line-865"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>concatMap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-varid'>label</span> <span class='hs-keyglyph'>-></span> <span class='hs-str'>"r0.0 "</span><span class='hs-varop'>++</span><span class='hs-varid'>label</span><span class='hs-varop'>++</span> <span class='hs-str'>"\n"</span><span class='hs-layout'>)</span>
<a name="line-866"></a> <span class='hs-varid'>labels</span><span class='hs-layout'>)</span>
<a name="line-867"></a> <span class='hs-varop'>++</span> <span class='hs-str'>"\n"</span>
<a name="line-868"></a><a name="valueDump"></a><span class='hs-definition'>valueDump</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-869"></a><span class='hs-definition'>valueDump</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>""</span>
<a name="line-870"></a><span class='hs-definition'>valueDump</span> <span class='hs-varid'>timescale</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-layout'>,</span><span class='hs-varid'>values</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>valList</span><span class='hs-layout'>)</span>
<a name="line-871"></a> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"#"</span><span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span><span class='hs-varop'>/</span><span class='hs-varid'>timescale</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-varop'>++</span><span class='hs-str'>"\n"</span>
<a name="line-872"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>values</span><span class='hs-layout'>)</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>valueDump</span> <span class='hs-varid'>timescale</span> <span class='hs-varid'>valList</span><span class='hs-layout'>)</span>
<a name="line-873"></a> <span class='hs-keyword'>where</span>
<a name="line-874"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Show</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-875"></a> <span class='hs-varid'>f</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>""</span>
<a name="line-876"></a> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>l</span><span class='hs-layout'>,</span><span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-conop'>:</span><span class='hs-varid'>values</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"r"</span><span class='hs-varop'>++</span><span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>v</span><span class='hs-layout'>)</span><span class='hs-varop'>++</span><span class='hs-str'>" "</span><span class='hs-varop'>++</span><span class='hs-varid'>l</span><span class='hs-varop'>++</span><span class='hs-str'>"\n"</span> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varid'>values</span><span class='hs-layout'>)</span>
<a name="line-877"></a> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Integer</span>
<a name="line-878"></a> <span class='hs-comment'>-- Since the VCD format expects integers for the timestamp, we make</span>
<a name="line-879"></a> <span class='hs-comment'>-- sure that only an integer is printed in decimal format (no exponent):</span>
<a name="line-880"></a> <span class='hs-varid'>g</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>round</span> <span class='hs-varid'>t</span>
<a name="line-881"></a>
<a name="line-882"></a>
<a name="line-883"></a><a name="timeunit"></a><span class='hs-definition'>timeunit</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>String</span>
<a name="line-884"></a><span class='hs-definition'>timeunit</span> <span class='hs-varid'>timescale</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>timescale</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>%</span> <span class='hs-num'>1</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"s"</span>
<a name="line-885"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>timescale</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>%</span> <span class='hs-num'>1000</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"ms"</span>
<a name="line-886"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>timescale</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>%</span> <span class='hs-num'>1000000</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"us"</span>
<a name="line-887"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>timescale</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>%</span> <span class='hs-num'>1000000000</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"ns"</span>
<a name="line-888"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>timescale</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>%</span> <span class='hs-num'>1000000000000</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"ps"</span>
<a name="line-889"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>timescale</span> <span class='hs-varop'>==</span> <span class='hs-num'>1</span> <span class='hs-varop'>%</span> <span class='hs-num'>1000000000000000</span> <span class='hs-keyglyph'>=</span> <span class='hs-str'>"fs"</span>
<a name="line-890"></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-layout'>(</span><span class='hs-str'>"timeunit: unexpected timescale: "</span>
<a name="line-891"></a> <span class='hs-varop'>++</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>timescale</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-892"></a>
<a name="line-893"></a><a name="findTimescale"></a><span class='hs-definition'>findTimescale</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>String</span><span class='hs-layout'>,</span><span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-conid'>Rational</span><span class='hs-layout'>,</span><span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span>
<a name="line-894"></a><span class='hs-definition'>findTimescale</span> <span class='hs-varid'>sigs</span>
<a name="line-895"></a> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-num'>1</span> <span class='hs-layout'>(</span><span class='hs-varid'>concatMap</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>valList</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>fst</span> <span class='hs-layout'>(</span><span class='hs-varid'>unzip</span> <span class='hs-varid'>valList</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varid'>sigs</span><span class='hs-layout'>)</span>
<a name="line-896"></a> <span class='hs-keyword'>where</span>
<a name="line-897"></a> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Rational</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Rational</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Rational</span>
<a name="line-898"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>scale</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>scale</span>
<a name="line-899"></a> <span class='hs-varid'>f</span> <span class='hs-varid'>scale</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'>r</span> <span class='hs-varop'>==</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>scale</span> <span class='hs-varid'>xs</span>
<a name="line-900"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-layout'>(</span><span class='hs-varid'>scale</span><span class='hs-varop'>/</span><span class='hs-num'>1000</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span>
<a name="line-901"></a> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-keyword'>_</span><span class='hs-layout'>,</span><span class='hs-varid'>r</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varid'>properFraction</span> <span class='hs-layout'>(</span><span class='hs-varid'>abs</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-varop'>/</span> <span class='hs-varid'>scale</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-902"></a> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Int</span><span class='hs-layout'>,</span><span class='hs-conid'>Rational</span><span class='hs-layout'>)</span>
<a name="line-903"></a>
<a name="line-904"></a><span class='hs-comment'>-------------------------------------------------------------------------</span>
<a name="line-905"></a><span class='hs-comment'>-----------------------------------------------------------</span>
<a name="line-906"></a><span class='hs-comment'>-- Testing the CT signals and process constructors:</span>
<a name="line-907"></a>
<a name="line-908"></a><span class='hs-comment'>{--
<a name="line-909"></a>main = testAll
<a name="line-910"></a>testAll =
<a name="line-911"></a> do
<a name="line-912"></a> testScaleCT
<a name="line-913"></a> testAddCT
<a name="line-914"></a> testMultCT
<a name="line-915"></a> testAbsCT
<a name="line-916"></a> testDelayCT
<a name="line-917"></a> testConverters
<a name="line-918"></a> testFeedback
<a name="line-919"></a>-- test scaleCT:
<a name="line-920"></a>testScaleCT = plotCT' 1E-4 [(toneA, "Tone A"),
<a name="line-921"></a> ((scaleCT 1.5 toneA), "Tone A x 1.5"),
<a name="line-922"></a> ((scaleCT 2.0 toneA), "Tone A x 2.0")]
<a name="line-923"></a>
<a name="line-924"></a>-- test addCT:
<a name="line-925"></a>testAddCT = plotCT' 1e-4 [(toneA, "Tone A"),
<a name="line-926"></a> (toneE, "Tone E"),
<a name="line-927"></a> ((addCT toneA toneE), "Tones A+E")]
<a name="line-928"></a>
<a name="line-929"></a>-- test multCT:
<a name="line-930"></a>testMultCT = plotCT' 1e-4 [(toneA, "Tone A"),
<a name="line-931"></a> (toneE, "Tone E"),
<a name="line-932"></a> ((multCT toneA toneE), "Tones A x E")]
<a name="line-933"></a>
<a name="line-934"></a>-- test absCT:
<a name="line-935"></a>testAbsCT = plotCT' 1E-4 [(toneA, "Tone A"),
<a name="line-936"></a> ((absCT toneA), "abs (Tone A)")]
<a name="line-937"></a>
<a name="line-938"></a>-- test delayCT:
<a name="line-939"></a>testDelayCT = plotCT' 1E-4
<a name="line-940"></a> [(toneA, "Tone A"),
<a name="line-941"></a> (takeCT 0.02 ((delayCT 0.0025 toneA)),
<a name="line-942"></a> "Tone A delayed by 2.5ms"),
<a name="line-943"></a> (takeCT 0.02 ((shiftCT 0.003 toneA)), "Tone A shifted by 3ms")]
<a name="line-944"></a>
<a name="line-945"></a>-- test a2dConverter:
<a name="line-946"></a>testConverters =
<a name="line-947"></a> do (plotCT' 1e-4
<a name="line-948"></a> [(toneA, "Tone A"),
<a name="line-949"></a> (d2aConverter DAlinear 1e-3 (a2dConverter 1e-3 toneA),
<a name="line-950"></a> "Tone A (A->D->A) converted with linear mode, 1ms sampling period")])
<a name="line-951"></a> (plotCT' 1e-4
<a name="line-952"></a> [(toneA, "Tone A"),
<a name="line-953"></a> (d2aConverter DAhold 1e-3 (a2dConverter 1e-3 toneA),
<a name="line-954"></a> "Tone A (A->D->A) converted with hold mode, 1ms sampling period")])
<a name="line-955"></a>
<a name="line-956"></a>-- test a feed back loop:
<a name="line-957"></a>block sin = [sin,s1,s2,sout]
<a name="line-958"></a> where sout = p2 s1
<a name="line-959"></a> s1 = p1 sin s2
<a name="line-960"></a> s2 = p3 sout
<a name="line-961"></a> -- The individual processes:
<a name="line-962"></a> p1 :: Signal (SubsigCT Double) -> Signal (SubsigCT Double)
<a name="line-963"></a> -> Signal (SubsigCT Double)
<a name="line-964"></a> p2,p3 :: Signal (SubsigCT Double) -> Signal (SubsigCT Double)
<a name="line-965"></a> p1 = addCT
<a name="line-966"></a> p2 = scaleCT 0.5
<a name="line-967"></a> p3 = initCT (zeroCT 0.0005)
<a name="line-968"></a>testFeedback = plotCT' 0.0001 ss
<a name="line-969"></a> where ss = [(sin, "sin"), (s1, "s1"), (s2, "s2"), (sout, "sout")]
<a name="line-970"></a> [sin,s1,s2,sout] = block (takeCT 0.005 toneA)
<a name="line-971"></a>
<a name="line-972"></a>
<a name="line-973"></a>
<a name="line-974"></a>toneA = sineWave (440.0) (0, 0.02)
<a name="line-975"></a>toneE = sineWave 520.0 (0, 0.02)
<a name="line-976"></a>-}</span>
<a name="line-977"></a>
<a name="line-978"></a><span class='hs-comment'>{- Some performance tests on my laptop under cygwin:
<a name="line-979"></a>
<a name="line-980"></a>***********************************************************************
<a name="line-981"></a>With ghc:
<a name="line-982"></a>
<a name="line-983"></a>with
<a name="line-984"></a>toneA = sineWave (440.0) (0, 2.0)
<a name="line-985"></a>toneE = sineWave 520.0 (0, 2.0)
<a name="line-986"></a>
<a name="line-987"></a>****
<a name="line-988"></a>we make testAll with Double data types on
<a name="line-989"></a>
<a name="line-990"></a>ghc --make CTLib.hs -O3 -o ttt.exe
<a name="line-991"></a>time ttt
<a name="line-992"></a>
<a name="line-993"></a>real 0m33.749s
<a name="line-994"></a>user 0m0.010s
<a name="line-995"></a>sys 0m0.010s
<a name="line-996"></a>
<a name="line-997"></a>****
<a name="line-998"></a>we make testAll with Rational data types on
<a name="line-999"></a>
<a name="line-1000"></a>ghc --make CTLib.hs -O3 -o ttt.exe
<a name="line-1001"></a>time ttt
<a name="line-1002"></a>
<a name="line-1003"></a>real 0m53.687s
<a name="line-1004"></a>user 0m0.010s
<a name="line-1005"></a>sys 0m0.010s
<a name="line-1006"></a>
<a name="line-1007"></a>****
<a name="line-1008"></a>hence the performance penalty when using Rational instead of Double is
<a name="line-1009"></a>1.59 (60%) longer delay.
<a name="line-1010"></a>
<a name="line-1011"></a>
<a name="line-1012"></a>************************************************************************
<a name="line-1013"></a>On hugs: (when using 0.2 second long waves, hugs aborted with an out of memory
<a name="line-1014"></a>message both with Double and Rational; but with Double it aborted much faster;)
<a name="line-1015"></a>
<a name="line-1016"></a>toneA = sineWave (440.0) (0, 0.02)
<a name="line-1017"></a>toneE = sineWave 520.0 (0, 0.02)
<a name="line-1018"></a>
<a name="line-1019"></a>****************
<a name="line-1020"></a>**** with Double:
<a name="line-1021"></a>time runhugs.exe -h500k CTLib.hs
<a name="line-1022"></a>
<a name="line-1023"></a>real 0m1.702s
<a name="line-1024"></a>user 0m0.020s
<a name="line-1025"></a>sys 0m0.010s
<a name="line-1026"></a>
<a name="line-1027"></a>******************
<a name="line-1028"></a>**** with Rational:
<a name="line-1029"></a>
<a name="line-1030"></a>time runhugs.exe -h500k CTLib.hs
<a name="line-1031"></a>
<a name="line-1032"></a>real 0m21.501s
<a name="line-1033"></a>user 0m0.010s
<a name="line-1034"></a>sys 0m0.020s
<a name="line-1035"></a>
<a name="line-1036"></a>****************
<a name="line-1037"></a>hence we have a factor of 12.5 longer delay with Rational compared to Double.
<a name="line-1038"></a>
<a name="line-1039"></a>
<a name="line-1040"></a>-}</span>
</pre></body>
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