<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html>
<head>
<!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ -->
<title>Control/Arrow/Transformer/Automaton.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE FlexibleInstances #-}</span>
<a name="line-2"></a>
<a name="line-3"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-4"></a><span class='hs-comment'>-- |</span>
<a name="line-5"></a><span class='hs-comment'>-- Module : Control.Arrow.Transformer.Automaton</span>
<a name="line-6"></a><span class='hs-comment'>-- Copyright : (c) Ross Paterson 2003</span>
<a name="line-7"></a><span class='hs-comment'>-- License : BSD-style (see the LICENSE file in the distribution)</span>
<a name="line-8"></a><span class='hs-comment'>--</span>
<a name="line-9"></a><span class='hs-comment'>-- Maintainer : ross@soi.city.ac.uk</span>
<a name="line-10"></a><span class='hs-comment'>-- Stability : experimental</span>
<a name="line-11"></a><span class='hs-comment'>-- Portability : non-portable (multi-parameter type classes)</span>
<a name="line-12"></a><span class='hs-comment'>--</span>
<a name="line-13"></a><span class='hs-comment'>-- Simple Mealy-style automata.</span>
<a name="line-14"></a>
<a name="line-15"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span><span class='hs-varop'>.</span><span class='hs-conid'>Transformer</span><span class='hs-varop'>.</span><span class='hs-conid'>Automaton</span><span class='hs-layout'>(</span>
<a name="line-16"></a> <span class='hs-conid'>Automaton</span><span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>runAutomaton</span><span class='hs-layout'>,</span>
<a name="line-17"></a> <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-18"></a>
<a name="line-19"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span><span class='hs-varop'>.</span><span class='hs-conid'>Internals</span>
<a name="line-20"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span><span class='hs-varop'>.</span><span class='hs-conid'>Operations</span>
<a name="line-21"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span><span class='hs-varop'>.</span><span class='hs-conid'>Transformer</span>
<a name="line-22"></a>
<a name="line-23"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-24"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Arrow</span>
<a name="line-25"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Category</span>
<a name="line-26"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Monoid</span>
<a name="line-27"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Stream</span>
<a name="line-28"></a>
<a name="line-29"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Prelude</span> <span class='hs-varid'>hiding</span> <span class='hs-layout'>(</span><span class='hs-varid'>id</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varop'>.</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-30"></a>
<a name="line-31"></a><span class='hs-comment'>-- | An arrow type comprising Mealy-style automata, each step of which is</span>
<a name="line-32"></a><span class='hs-comment'>-- is a computation in the original arrow type.</span>
<a name="line-33"></a>
<a name="line-34"></a><a name="Automaton"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-35"></a>
<a name="line-36"></a><a name="instance%20ArrowTransformer%20Automaton%20a"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowTransformer</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-37"></a> <span class='hs-varid'>lift</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>c</span>
<a name="line-38"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>&&&</span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-39"></a>
<a name="line-40"></a><a name="instance%20Category%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Category</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-41"></a> <span class='hs-varid'>id</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-varid'>id</span>
<a name="line-42"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span>
<a name="line-43"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</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'>z</span><span class='hs-layout'>,</span> <span class='hs-varid'>cf</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>cg</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>z</span><span class='hs-layout'>,</span> <span class='hs-varid'>cf</span> <span class='hs-varop'>.</span> <span class='hs-varid'>cg</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-varop'>.</span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-44"></a>
<a name="line-45"></a><a name="instance%20Arrow%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arrow</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-46"></a> <span class='hs-varid'>arr</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-47"></a> <span class='hs-varid'>first</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-48"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-49"></a> <span class='hs-varid'>arr</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'>x'</span><span class='hs-layout'>,</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-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>first</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-50"></a> <span class='hs-varid'>second</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-51"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>second</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-52"></a> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>y'</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</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'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y'</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>second</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-53"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f1</span> <span class='hs-varop'>***</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f2</span> <span class='hs-keyglyph'>=</span>
<a name="line-54"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f1</span> <span class='hs-varop'>***</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span> <span class='hs-varop'>>>></span>
<a name="line-55"></a> <span class='hs-varid'>arr</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'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>c1</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>y'</span><span class='hs-layout'>,</span> <span class='hs-varid'>c2</span><span class='hs-layout'>)</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'>x'</span><span class='hs-layout'>,</span> <span class='hs-varid'>y'</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>***</span> <span class='hs-varid'>c2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-56"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f1</span> <span class='hs-varop'>&&&</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f2</span> <span class='hs-keyglyph'>=</span>
<a name="line-57"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f1</span> <span class='hs-varop'>&&&</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span> <span class='hs-varop'>>>></span>
<a name="line-58"></a> <span class='hs-varid'>arr</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'>x1</span><span class='hs-layout'>,</span> <span class='hs-varid'>c1</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span> <span class='hs-varid'>c2</span><span class='hs-layout'>)</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'>x1</span><span class='hs-layout'>,</span> <span class='hs-varid'>x2</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>c1</span> <span class='hs-varop'>&&&</span> <span class='hs-varid'>c2</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-59"></a>
<a name="line-60"></a><a name="instance%20ArrowChoice%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowChoice</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowChoice</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-61"></a> <span class='hs-varid'>left</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>left_f</span>
<a name="line-62"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>left_f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>left</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>combine</span><span class='hs-layout'>)</span>
<a name="line-63"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>cf</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>left</span> <span class='hs-varid'>cf</span><span class='hs-layout'>)</span>
<a name="line-64"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>z</span><span class='hs-layout'>,</span> <span class='hs-varid'>left_f</span><span class='hs-layout'>)</span>
<a name="line-65"></a> <span class='hs-varid'>right</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>right_f</span>
<a name="line-66"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>right_f</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>right</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>combine</span><span class='hs-layout'>)</span>
<a name="line-67"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>z</span><span class='hs-layout'>,</span> <span class='hs-varid'>right_f</span><span class='hs-layout'>)</span>
<a name="line-68"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>cf</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>y</span><span class='hs-layout'>,</span> <span class='hs-varid'>right</span> <span class='hs-varid'>cf</span><span class='hs-layout'>)</span>
<a name="line-69"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f1</span> <span class='hs-varop'>+++</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f2</span> <span class='hs-keyglyph'>=</span>
<a name="line-70"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f1</span> <span class='hs-varop'>+++</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>combine</span><span class='hs-layout'>)</span>
<a name="line-71"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span> <span class='hs-varop'>+++</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span>
<a name="line-72"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f1</span> <span class='hs-varop'>+++</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-73"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f1</span> <span class='hs-varop'>|||</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f2</span> <span class='hs-keyglyph'>=</span>
<a name="line-74"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-varid'>f1</span> <span class='hs-varop'>+++</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>combine</span><span class='hs-layout'>)</span>
<a name="line-75"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</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'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</span> <span class='hs-varop'>|||</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f2</span><span class='hs-layout'>)</span>
<a name="line-76"></a> <span class='hs-varid'>combine</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>c</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'>x</span><span class='hs-layout'>,</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f1</span> <span class='hs-varop'>|||</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-77"></a>
<a name="line-78"></a><a name="instance%20ArrowZero%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowZero</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowZero</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-79"></a> <span class='hs-varid'>zeroArrow</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>zeroArrow</span>
<a name="line-80"></a>
<a name="line-81"></a><a name="instance%20ArrowPlus%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-82"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-83"></a>
<a name="line-84"></a><span class='hs-comment'>-- Circuit combinators</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="instance%20ArrowLoop%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowLoop</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowLoop</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-87"></a> <span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-88"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>loop</span> <span class='hs-layout'>(</span><span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-89"></a> <span class='hs-varid'>arr</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'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>cf</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'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>loop</span> <span class='hs-varid'>cf</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>y</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-90"></a>
<a name="line-91"></a><a name="instance%20ArrowCircuit%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowLoop</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowCircuit</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-92"></a> <span class='hs-varid'>delay</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-varid'>x'</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span> <span class='hs-varid'>delay</span> <span class='hs-varid'>x'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-93"></a>
<a name="line-94"></a><span class='hs-comment'>-- Other instances</span>
<a name="line-95"></a>
<a name="line-96"></a><a name="instance%20Functor%20(Automaton%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Functor</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-97"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>f</span>
<a name="line-98"></a>
<a name="line-99"></a><a name="instance%20Applicative%20(Automaton%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arrow</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Applicative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-100"></a> <span class='hs-varid'>pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>const</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-101"></a> <span class='hs-varid'>f</span> <span class='hs-varop'><*></span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'>&&&</span> <span class='hs-varid'>g</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-varid'>id</span><span class='hs-layout'>)</span>
<a name="line-102"></a>
<a name="line-103"></a><a name="instance%20Alternative%20(Automaton%20a%20b)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Alternative</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-104"></a> <span class='hs-varid'>empty</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zeroArrow</span>
<a name="line-105"></a> <span class='hs-varid'>f</span> <span class='hs-varop'><|></span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-varid'>g</span>
<a name="line-106"></a>
<a name="line-107"></a><a name="instance%20Monoid%20(Automaton%20a%20b%20c)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowPlus</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Monoid</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-varid'>b</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-108"></a> <span class='hs-varid'>mempty</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>zeroArrow</span>
<a name="line-109"></a> <span class='hs-varid'>mappend</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varop'><+></span> <span class='hs-varid'>g</span>
<a name="line-110"></a>
<a name="line-111"></a><span class='hs-comment'>-- runAutomaton (Automaton f) = proc (e, Cons x xs) -> do</span>
<a name="line-112"></a><span class='hs-comment'>-- (y, c) <- f <- (e, x)</span>
<a name="line-113"></a><span class='hs-comment'>-- ys <- runAutomaton c -<< (e, xs)</span>
<a name="line-114"></a><span class='hs-comment'>-- returnA -< Cons y ys</span>
<a name="line-115"></a>
<a name="line-116"></a><span class='hs-comment'>-- | Encapsulating an automaton by running it on a stream of inputs,</span>
<a name="line-117"></a><span class='hs-comment'>-- obtaining a stream of outputs.</span>
<a name="line-118"></a><span class='hs-comment'>--</span>
<a name="line-119"></a><span class='hs-comment'>-- Typical usage in arrow notation:</span>
<a name="line-120"></a><span class='hs-comment'>--</span>
<a name="line-121"></a><span class='hs-comment'>-- > proc p -> do</span>
<a name="line-122"></a><span class='hs-comment'>-- > ...</span>
<a name="line-123"></a><span class='hs-comment'>-- > ys <- (|runAutomaton (\x -> ...)|) xs</span>
<a name="line-124"></a><span class='hs-comment'>--</span>
<a name="line-125"></a><span class='hs-comment'>-- Here @xs@ refers to the input stream and @x@ to individual</span>
<a name="line-126"></a><span class='hs-comment'>-- elements of that stream. @ys@ is bound to the output stream.</span>
<a name="line-127"></a>
<a name="line-128"></a><a name="runAutomaton"></a><span class='hs-definition'>runAutomaton</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>ArrowLoop</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>ArrowApply</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span>
<a name="line-129"></a> <span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span><span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span><span class='hs-conid'>Stream</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Stream</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-130"></a><span class='hs-definition'>runAutomaton</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-131"></a> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-conid'>Cons</span> <span class='hs-varid'>x</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-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>>>></span>
<a name="line-132"></a> <span class='hs-varid'>first</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-133"></a> <span class='hs-varid'>arr</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'>y</span><span class='hs-layout'>,</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-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs</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'>y</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>runAutomaton</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varid'>e</span><span class='hs-layout'>,</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-varop'>>>></span>
<a name="line-134"></a> <span class='hs-varid'>second</span> <span class='hs-varid'>app</span> <span class='hs-varop'>>>></span>
<a name="line-135"></a> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-varid'>uncurry</span> <span class='hs-conid'>Cons</span><span class='hs-layout'>)</span>
<a name="line-136"></a>
<a name="line-137"></a><a name="instance%20ArrowAddStream%20(Automaton%20a)%20a"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>ArrowLoop</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>ArrowApply</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowAddStream</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-138"></a> <span class='hs-varid'>liftStream</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span>
<a name="line-139"></a> <span class='hs-varid'>elimStream</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runAutomaton</span>
<a name="line-140"></a>
<a name="line-141"></a><span class='hs-comment'>-- other promotions</span>
<a name="line-142"></a>
<a name="line-143"></a><a name="instance%20ArrowWriter%20w%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowWriter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowWriter</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-144"></a> <span class='hs-varid'>write</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-varid'>write</span>
<a name="line-145"></a> <span class='hs-varid'>newWriter</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-146"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>newWriter</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-147"></a> <span class='hs-varid'>arr</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'>c</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'>w</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'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>newWriter</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-148"></a>
<a name="line-149"></a><a name="instance%20ArrowError%20r%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowError</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowError</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-150"></a> <span class='hs-varid'>raise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-varid'>raise</span>
<a name="line-151"></a> <span class='hs-varid'>tryInUnless</span> <span class='hs-varid'>f0</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>s0</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span> <span class='hs-varid'>h0</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>h</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-152"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>tryInUnless</span> <span class='hs-varid'>f</span> <span class='hs-varid'>sA</span> <span class='hs-varid'>hA</span><span class='hs-layout'>)</span>
<a name="line-153"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>sA</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>b</span><span class='hs-layout'>,</span><span class='hs-layout'>(</span><span class='hs-varid'>c</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-keyglyph'>-></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'>c</span><span class='hs-layout'>)</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-varop'>>>></span> <span class='hs-varid'>first</span> <span class='hs-varid'>s</span> <span class='hs-varop'>>>></span>
<a name="line-154"></a> <span class='hs-varid'>arr</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'>d</span><span class='hs-layout'>,</span><span class='hs-varid'>s'</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span><span class='hs-varid'>f'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span> <span class='hs-varid'>tryInUnless</span> <span class='hs-varid'>f'</span> <span class='hs-varid'>s'</span> <span class='hs-varid'>h0</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-155"></a> <span class='hs-varid'>hA</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>h</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span><span class='hs-varid'>h'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span> <span class='hs-varid'>tryInUnless</span> <span class='hs-varid'>f0</span> <span class='hs-varid'>s0</span> <span class='hs-varid'>h'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-156"></a> <span class='hs-varid'>newError</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>newError</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>arr</span> <span class='hs-varid'>h</span><span class='hs-layout'>)</span>
<a name="line-157"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>h</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>ex</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Left</span> <span class='hs-varid'>ex</span><span class='hs-layout'>,</span> <span class='hs-varid'>newError</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-158"></a> <span class='hs-varid'>h</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-layout'>(</span><span class='hs-varid'>c</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-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-conid'>Right</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>newError</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span>
<a name="line-159"></a>
<a name="line-160"></a><a name="instance%20ArrowReader%20r%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowReader</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowReader</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-161"></a> <span class='hs-varid'>readState</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-varid'>readState</span>
<a name="line-162"></a> <span class='hs-varid'>newReader</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-163"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>newReader</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>second</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-varid'>newReader</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-164"></a>
<a name="line-165"></a><a name="instance%20ArrowState%20s%20(Automaton%20a)"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowState</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>ArrowState</span> <span class='hs-varid'>s</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-166"></a> <span class='hs-varid'>fetch</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-varid'>fetch</span>
<a name="line-167"></a> <span class='hs-varid'>store</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lift</span> <span class='hs-varid'>store</span>
<a name="line-168"></a>
<a name="line-169"></a><span class='hs-comment'>-- encapsulations</span>
<a name="line-170"></a>
<a name="line-171"></a><a name="instance%20ArrowAddWriter%20w%20(Automaton%20a)%20(Automaton%20a')"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowAddWriter</span> <span class='hs-varid'>w</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a'</span> <span class='hs-keyglyph'>=></span>
<a name="line-172"></a> <span class='hs-conid'>ArrowAddWriter</span> <span class='hs-varid'>w</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-173"></a> <span class='hs-varid'>liftWriter</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-174"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftWriter</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-175"></a> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftWriter</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-176"></a> <span class='hs-varid'>elimWriter</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-177"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>elimWriter</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-178"></a> <span class='hs-varid'>arr</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'>c</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'>w</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'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>w</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>elimWriter</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-179"></a>
<a name="line-180"></a><a name="instance%20ArrowAddReader%20r%20(Automaton%20a)%20(Automaton%20a')"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowAddReader</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a'</span> <span class='hs-keyglyph'>=></span>
<a name="line-181"></a> <span class='hs-conid'>ArrowAddReader</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-182"></a> <span class='hs-varid'>liftReader</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-183"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftReader</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-184"></a> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftReader</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-185"></a> <span class='hs-varid'>elimReader</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-186"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>elimReader</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span> <span class='hs-varid'>second</span> <span class='hs-layout'>(</span><span class='hs-varid'>arr</span> <span class='hs-varid'>elimReader</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-187"></a>
<a name="line-188"></a>
<a name="line-189"></a><a name="instance%20ArrowAddState%20r%20(Automaton%20a)%20(Automaton%20a')"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>ArrowAddState</span> <span class='hs-varid'>r</span> <span class='hs-varid'>a</span> <span class='hs-varid'>a'</span> <span class='hs-keyglyph'>=></span>
<a name="line-190"></a> <span class='hs-conid'>ArrowAddState</span> <span class='hs-varid'>r</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>a'</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-191"></a> <span class='hs-varid'>liftState</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-192"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>liftState</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-193"></a> <span class='hs-varid'>arr</span> <span class='hs-layout'>(</span><span class='hs-keyglyph'>\</span><span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-layout'>(</span><span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftState</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-194"></a> <span class='hs-varid'>elimState</span> <span class='hs-layout'>(</span><span class='hs-conid'>Automaton</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-195"></a> <span class='hs-conid'>Automaton</span> <span class='hs-layout'>(</span><span class='hs-varid'>elimState</span> <span class='hs-varid'>f</span> <span class='hs-varop'>>>></span>
<a name="line-196"></a> <span class='hs-varid'>arr</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'>c</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'>s</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'>c</span><span class='hs-layout'>,</span> <span class='hs-varid'>s</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>elimState</span> <span class='hs-varid'>f'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
</pre></body>
</html>
distrib
>
Fedora
>
18
>
x86_64
>
media
>
updates
>
by-pkgid
>
765adc18ec52512b3512a9992c59746e
>
files
>
82
