<?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>Test/QuickCheck/Arbitrary.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Test</span><span class='hs-varop'>.</span><span class='hs-conid'>QuickCheck</span><span class='hs-varop'>.</span><span class='hs-conid'>Arbitrary</span>
<a name="line-2"></a> <span class='hs-layout'>(</span>
<a name="line-3"></a> <span class='hs-comment'>-- * Arbitrary and CoArbitrary classes.</span>
<a name="line-4"></a> <span class='hs-conid'>Arbitrary</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-5"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span><span class='hs-layout'>(</span><span class='hs-keyglyph'>..</span><span class='hs-layout'>)</span>
<a name="line-6"></a>
<a name="line-7"></a> <span class='hs-comment'>-- ** Helper functions for implementing arbitrary</span>
<a name="line-8"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>arbitrarySizedIntegral</span> <span class='hs-comment'>-- :: Num a => Gen a</span>
<a name="line-9"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>arbitraryBoundedIntegral</span> <span class='hs-comment'>-- :: (Bounded a, Integral a) => Gen a</span>
<a name="line-10"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span> <span class='hs-comment'>-- :: (Bounded a, Integral a) => Gen a</span>
<a name="line-11"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>arbitrarySizedFractional</span> <span class='hs-comment'>-- :: Fractional a => Gen a</span>
<a name="line-12"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>arbitraryBoundedRandom</span> <span class='hs-comment'>-- :: (Bounded a, Random a) => Gen a</span>
<a name="line-13"></a> <span class='hs-comment'>-- ** Helper functions for implementing shrink</span>
<a name="line-14"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>shrinkNothing</span> <span class='hs-comment'>-- :: a -> [a]</span>
<a name="line-15"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>shrinkList</span> <span class='hs-comment'>-- :: (a -> [a]) -> [a] -> [[a]]</span>
<a name="line-16"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>shrinkIntegral</span> <span class='hs-comment'>-- :: Integral a => a -> [a]</span>
<a name="line-17"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>shrinkRealFrac</span> <span class='hs-comment'>-- :: RealFrac a => a -> [a]</span>
<a name="line-18"></a> <span class='hs-comment'>-- ** Helper functions for implementing coarbitrary</span>
<a name="line-19"></a> <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>><</span><span class='hs-layout'>)</span>
<a name="line-20"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>coarbitraryIntegral</span> <span class='hs-comment'>-- :: Integral a => a -> Gen b -> Gen b</span>
<a name="line-21"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>coarbitraryReal</span> <span class='hs-comment'>-- :: Real a => a -> Gen b -> Gen b</span>
<a name="line-22"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>coarbitraryShow</span> <span class='hs-comment'>-- :: Show a => a -> Gen b -> Gen b</span>
<a name="line-23"></a>
<a name="line-24"></a> <span class='hs-comment'>-- ** Generators which use arbitrary</span>
<a name="line-25"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>vector</span> <span class='hs-comment'>-- :: Arbitrary a => Int -> Gen [a]</span>
<a name="line-26"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>orderedList</span> <span class='hs-comment'>-- :: (Ord a, Arbitrary a) => Gen [a]</span>
<a name="line-27"></a> <span class='hs-layout'>)</span>
<a name="line-28"></a> <span class='hs-keyword'>where</span>
<a name="line-29"></a>
<a name="line-30"></a><span class='hs-comment'>--------------------------------------------------------------------------</span>
<a name="line-31"></a><span class='hs-comment'>-- imports</span>
<a name="line-32"></a>
<a name="line-33"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Test</span><span class='hs-varop'>.</span><span class='hs-conid'>QuickCheck</span><span class='hs-varop'>.</span><span class='hs-conid'>Gen</span>
<a name="line-34"></a>
<a name="line-35"></a><span class='hs-comment'>{-
<a name="line-36"></a>import Data.Generics
<a name="line-37"></a> ( (:*:)(..)
<a name="line-38"></a> , (:+:)(..)
<a name="line-39"></a> , Unit(..)
<a name="line-40"></a> )
<a name="line-41"></a>-}</span>
<a name="line-42"></a>
<a name="line-43"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Char</span>
<a name="line-44"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>chr</span>
<a name="line-45"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>ord</span>
<a name="line-46"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>isLower</span>
<a name="line-47"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>isUpper</span>
<a name="line-48"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>toLower</span>
<a name="line-49"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>isDigit</span>
<a name="line-50"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>isSpace</span>
<a name="line-51"></a> <span class='hs-layout'>)</span>
<a name="line-52"></a>
<a name="line-53"></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-54"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Ratio</span>
<a name="line-55"></a> <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>%</span><span class='hs-layout'>)</span>
<a name="line-56"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>numerator</span>
<a name="line-57"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>denominator</span>
<a name="line-58"></a> <span class='hs-layout'>)</span>
<a name="line-59"></a>
<a name="line-60"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Complex</span>
<a name="line-61"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Complex</span><span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-conop'>:+</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span> <span class='hs-layout'>)</span>
<a name="line-62"></a>
<a name="line-63"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>System</span><span class='hs-varop'>.</span><span class='hs-conid'>Random</span>
<a name="line-64"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Random</span>
<a name="line-65"></a> <span class='hs-layout'>)</span>
<a name="line-66"></a>
<a name="line-67"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>List</span>
<a name="line-68"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>sort</span>
<a name="line-69"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>nub</span>
<a name="line-70"></a> <span class='hs-layout'>)</span>
<a name="line-71"></a>
<a name="line-72"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Monad</span>
<a name="line-73"></a> <span class='hs-layout'>(</span> <span class='hs-varid'>liftM</span>
<a name="line-74"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>liftM2</span>
<a name="line-75"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>liftM3</span>
<a name="line-76"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>liftM4</span>
<a name="line-77"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>liftM5</span>
<a name="line-78"></a> <span class='hs-layout'>)</span>
<a name="line-79"></a>
<a name="line-80"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Int</span><span class='hs-layout'>(</span><span class='hs-conid'>Int8</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int16</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int32</span><span class='hs-layout'>,</span> <span class='hs-conid'>Int64</span><span class='hs-layout'>)</span>
<a name="line-81"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Word</span><span class='hs-layout'>(</span><span class='hs-conid'>Word</span><span class='hs-layout'>,</span> <span class='hs-conid'>Word8</span><span class='hs-layout'>,</span> <span class='hs-conid'>Word16</span><span class='hs-layout'>,</span> <span class='hs-conid'>Word32</span><span class='hs-layout'>,</span> <span class='hs-conid'>Word64</span><span class='hs-layout'>)</span>
<a name="line-82"></a>
<a name="line-83"></a><span class='hs-comment'>--------------------------------------------------------------------------</span>
<a name="line-84"></a><span class='hs-comment'>-- ** class Arbitrary</span>
<a name="line-85"></a>
<a name="line-86"></a><a name="Arbitrary"></a><span class='hs-comment'>-- | Random generation and shrinking of values.</span>
<a name="line-87"></a><a name="Arbitrary"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-88"></a> <span class='hs-comment'>-- | A generator for values of the given type.</span>
<a name="line-89"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span>
<a name="line-90"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>error</span> <span class='hs-str'>"no default generator"</span>
<a name="line-91"></a>
<a name="line-92"></a> <span class='hs-comment'>-- | Produces a (possibly) empty list of all the possible</span>
<a name="line-93"></a> <span class='hs-comment'>-- immediate shrinks of the given value.</span>
<a name="line-94"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-95"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-96"></a>
<a name="line-97"></a><span class='hs-comment'>-- instances</span>
<a name="line-98"></a>
<a name="line-99"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-100"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>promote</span> <span class='hs-layout'>(</span><span class='hs-varop'>`coarbitrary`</span> <span class='hs-varid'>arbitrary</span><span class='hs-layout'>)</span>
<a name="line-101"></a>
<a name="line-102"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>()</span> <span class='hs-keyword'>where</span>
<a name="line-103"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-conid'>()</span>
<a name="line-104"></a>
<a name="line-105"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Bool</span> <span class='hs-keyword'>where</span>
<a name="line-106"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-conid'>False</span><span class='hs-layout'>,</span><span class='hs-conid'>True</span><span class='hs-layout'>)</span>
<a name="line-107"></a> <span class='hs-varid'>shrink</span> <span class='hs-conid'>True</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>False</span><span class='hs-keyglyph'>]</span>
<a name="line-108"></a> <span class='hs-varid'>shrink</span> <span class='hs-conid'>False</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-109"></a>
<a name="line-110"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-111"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>frequency</span> <span class='hs-keyglyph'>[</span><span class='hs-layout'>(</span><span class='hs-num'>1</span><span class='hs-layout'>,</span> <span class='hs-varid'>return</span> <span class='hs-conid'>Nothing</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-num'>3</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftM</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>arbitrary</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-112"></a>
<a name="line-113"></a> <span class='hs-varid'>shrink</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Nothing</span> <span class='hs-conop'>:</span> <span class='hs-keyglyph'>[</span> <span class='hs-conid'>Just</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-114"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-115"></a>
<a name="line-116"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</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-117"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>oneof</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>liftM</span> <span class='hs-conid'>Left</span> <span class='hs-varid'>arbitrary</span><span class='hs-layout'>,</span> <span class='hs-varid'>liftM</span> <span class='hs-conid'>Right</span> <span class='hs-varid'>arbitrary</span><span class='hs-keyglyph'>]</span>
<a name="line-118"></a>
<a name="line-119"></a> <span class='hs-varid'>shrink</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-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-conid'>Left</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-120"></a> <span class='hs-varid'>shrink</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-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-conid'>Right</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>]</span>
<a name="line-121"></a>
<a name="line-122"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-123"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sized</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span>
<a name="line-124"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-varid'>n</span><span class='hs-layout'>)</span>
<a name="line-125"></a> <span class='hs-varid'>sequence</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>|</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyglyph'>[</span><span class='hs-num'>1</span><span class='hs-keyglyph'>..</span><span class='hs-varid'>k</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>]</span>
<a name="line-126"></a>
<a name="line-127"></a> <span class='hs-varid'>shrink</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkList</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>xs</span>
<a name="line-128"></a>
<a name="line-129"></a><a name="shrinkList"></a><span class='hs-definition'>shrinkList</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span><span class='hs-keyglyph'>]</span>
<a name="line-130"></a><span class='hs-definition'>shrinkList</span> <span class='hs-varid'>shr</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concat</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>removes</span> <span class='hs-varid'>k</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>takeWhile</span> <span class='hs-layout'>(</span><span class='hs-varop'>></span><span class='hs-num'>0</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>iterate</span> <span class='hs-layout'>(</span><span class='hs-varop'>`div`</span><span class='hs-num'>2</span><span class='hs-layout'>)</span> <span class='hs-varid'>n</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>]</span>
<a name="line-131"></a> <span class='hs-varop'>++</span> <span class='hs-varid'>shrinkOne</span> <span class='hs-varid'>xs</span>
<a name="line-132"></a> <span class='hs-keyword'>where</span>
<a name="line-133"></a> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>length</span> <span class='hs-varid'>xs</span>
<a name="line-134"></a>
<a name="line-135"></a> <span class='hs-varid'>shrinkOne</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-136"></a> <span class='hs-varid'>shrinkOne</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>x'</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shr</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-137"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>x</span><span class='hs-conop'>:</span><span class='hs-varid'>xs'</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>xs'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrinkOne</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>]</span>
<a name="line-138"></a>
<a name="line-139"></a> <span class='hs-varid'>removes</span> <span class='hs-varid'>k</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span>
<a name="line-140"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>k</span> <span class='hs-varop'>></span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-141"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>null</span> <span class='hs-varid'>xs2</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>[]</span><span class='hs-keyglyph'>]</span>
<a name="line-142"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>xs2</span> <span class='hs-conop'>:</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>xs1</span> <span class='hs-varop'>++</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>removes</span> <span class='hs-varid'>k</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-varid'>k</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs2</span><span class='hs-layout'>)</span>
<a name="line-143"></a> <span class='hs-keyword'>where</span>
<a name="line-144"></a> <span class='hs-varid'>xs1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>take</span> <span class='hs-varid'>k</span> <span class='hs-varid'>xs</span>
<a name="line-145"></a> <span class='hs-varid'>xs2</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>drop</span> <span class='hs-varid'>k</span> <span class='hs-varid'>xs</span>
<a name="line-146"></a>
<a name="line-147"></a><span class='hs-comment'>{-
<a name="line-148"></a> -- "standard" definition for lists:
<a name="line-149"></a> shrink [] = []
<a name="line-150"></a> shrink (x:xs) = [ xs ]
<a name="line-151"></a> ++ [ x:xs' | xs' <- shrink xs ]
<a name="line-152"></a> ++ [ x':xs | x' <- shrink x ]
<a name="line-153"></a>-}</span>
<a name="line-154"></a>
<a name="line-155"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integral</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ratio</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-156"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedFractional</span>
<a name="line-157"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkRealFrac</span>
<a name="line-158"></a>
<a name="line-159"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Complex</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-160"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM2</span> <span class='hs-layout'>(</span><span class='hs-conop'>:+</span><span class='hs-layout'>)</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span>
<a name="line-161"></a> <span class='hs-varid'>shrink</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-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>x'</span> <span class='hs-conop'>:+</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span>
<a name="line-162"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>x</span> <span class='hs-conop'>:+</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>]</span>
<a name="line-163"></a>
<a name="line-164"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-165"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</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>
<a name="line-166"></a> <span class='hs-keyword'>where</span>
<a name="line-167"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM2</span> <span class='hs-conid'>(,)</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span>
<a name="line-168"></a>
<a name="line-169"></a> <span class='hs-varid'>shrink</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-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-170"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>]</span>
<a name="line-171"></a>
<a name="line-172"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-173"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</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-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-174"></a> <span class='hs-keyword'>where</span>
<a name="line-175"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM3</span> <span class='hs-conid'>(,,)</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span>
<a name="line-176"></a>
<a name="line-177"></a> <span class='hs-varid'>shrink</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</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-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-178"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y'</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>]</span>
<a name="line-179"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>z'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>]</span>
<a name="line-180"></a>
<a name="line-181"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-182"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</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-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-183"></a> <span class='hs-keyword'>where</span>
<a name="line-184"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM4</span> <span class='hs-conid'>(,,,)</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span>
<a name="line-185"></a>
<a name="line-186"></a> <span class='hs-varid'>shrink</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>w'</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>w'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>]</span>
<a name="line-187"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-188"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y'</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>]</span>
<a name="line-189"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>z'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>]</span>
<a name="line-190"></a>
<a name="line-191"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>d</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-192"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Arbitrary</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-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span><span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-193"></a> <span class='hs-keyword'>where</span>
<a name="line-194"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM5</span> <span class='hs-conid'>(,,,,)</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span> <span class='hs-varid'>arbitrary</span>
<a name="line-195"></a>
<a name="line-196"></a> <span class='hs-varid'>shrink</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span><span class='hs-layout'>,</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>v'</span><span class='hs-layout'>,</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>v'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>v</span> <span class='hs-keyglyph'>]</span>
<a name="line-197"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span><span class='hs-layout'>,</span><span class='hs-varid'>w'</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>w'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>]</span>
<a name="line-198"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span><span class='hs-layout'>,</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x'</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>]</span>
<a name="line-199"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span><span class='hs-layout'>,</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y'</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>y'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>y</span> <span class='hs-keyglyph'>]</span>
<a name="line-200"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-layout'>(</span><span class='hs-varid'>v</span><span class='hs-layout'>,</span><span class='hs-varid'>w</span><span class='hs-layout'>,</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>z'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>shrink</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>]</span>
<a name="line-201"></a>
<a name="line-202"></a><span class='hs-comment'>-- typical instance for primitive (numerical) types</span>
<a name="line-203"></a>
<a name="line-204"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Integer</span> <span class='hs-keyword'>where</span>
<a name="line-205"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedIntegral</span>
<a name="line-206"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-207"></a>
<a name="line-208"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Int</span> <span class='hs-keyword'>where</span>
<a name="line-209"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-210"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-211"></a>
<a name="line-212"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Int8</span> <span class='hs-keyword'>where</span>
<a name="line-213"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-214"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-215"></a>
<a name="line-216"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Int16</span> <span class='hs-keyword'>where</span>
<a name="line-217"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-218"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-219"></a>
<a name="line-220"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Int32</span> <span class='hs-keyword'>where</span>
<a name="line-221"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-222"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-223"></a>
<a name="line-224"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Int64</span> <span class='hs-keyword'>where</span>
<a name="line-225"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-226"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-227"></a>
<a name="line-228"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Word</span> <span class='hs-keyword'>where</span>
<a name="line-229"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-230"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-231"></a>
<a name="line-232"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Word8</span> <span class='hs-keyword'>where</span>
<a name="line-233"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-234"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-235"></a>
<a name="line-236"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Word16</span> <span class='hs-keyword'>where</span>
<a name="line-237"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-238"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-239"></a>
<a name="line-240"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Word32</span> <span class='hs-keyword'>where</span>
<a name="line-241"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-242"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-243"></a>
<a name="line-244"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Word64</span> <span class='hs-keyword'>where</span>
<a name="line-245"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedBoundedIntegral</span>
<a name="line-246"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkIntegral</span>
<a name="line-247"></a>
<a name="line-248"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Char</span> <span class='hs-keyword'>where</span>
<a name="line-249"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>chr</span> <span class='hs-varop'>`fmap`</span> <span class='hs-varid'>oneof</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-num'>127</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-layout'>,</span><span class='hs-num'>255</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-250"></a> <span class='hs-varid'>shrink</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>filter</span> <span class='hs-layout'>(</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-varid'>nub</span>
<a name="line-251"></a> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>[</span><span class='hs-chr'>'a'</span><span class='hs-layout'>,</span><span class='hs-chr'>'b'</span><span class='hs-layout'>,</span><span class='hs-chr'>'c'</span><span class='hs-keyglyph'>]</span>
<a name="line-252"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>toLower</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>isUpper</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>]</span>
<a name="line-253"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span><span class='hs-chr'>'A'</span><span class='hs-layout'>,</span><span class='hs-chr'>'B'</span><span class='hs-layout'>,</span><span class='hs-chr'>'C'</span><span class='hs-keyglyph'>]</span>
<a name="line-254"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span><span class='hs-chr'>'1'</span><span class='hs-layout'>,</span><span class='hs-chr'>'2'</span><span class='hs-layout'>,</span><span class='hs-chr'>'3'</span><span class='hs-keyglyph'>]</span>
<a name="line-255"></a> <span class='hs-varop'>++</span> <span class='hs-keyglyph'>[</span><span class='hs-chr'>' '</span><span class='hs-layout'>,</span><span class='hs-chr'>'\n'</span><span class='hs-keyglyph'>]</span>
<a name="line-256"></a> <span class='hs-keyword'>where</span>
<a name="line-257"></a> <span class='hs-varid'>a</span> <span class='hs-varop'><.</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>stamp</span> <span class='hs-varid'>a</span> <span class='hs-varop'><</span> <span class='hs-varid'>stamp</span> <span class='hs-varid'>b</span>
<a name="line-258"></a> <span class='hs-varid'>stamp</span> <span class='hs-varid'>a</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'>isLower</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-259"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>isUpper</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-260"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>isDigit</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-261"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span><span class='hs-varop'>==</span><span class='hs-chr'>' '</span><span class='hs-layout'>)</span>
<a name="line-262"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>isSpace</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-263"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>a</span>
<a name="line-264"></a> <span class='hs-layout'>)</span>
<a name="line-265"></a>
<a name="line-266"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Float</span> <span class='hs-keyword'>where</span>
<a name="line-267"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedFractional</span>
<a name="line-268"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkRealFrac</span>
<a name="line-269"></a>
<a name="line-270"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-conid'>Double</span> <span class='hs-keyword'>where</span>
<a name="line-271"></a> <span class='hs-varid'>arbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>arbitrarySizedFractional</span>
<a name="line-272"></a> <span class='hs-varid'>shrink</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>shrinkRealFrac</span>
<a name="line-273"></a>
<a name="line-274"></a><span class='hs-comment'>-- ** Helper functions for implementing arbitrary</span>
<a name="line-275"></a>
<a name="line-276"></a><a name="arbitrarySizedIntegral"></a><span class='hs-comment'>-- | Generates an integral number. The number can be positive or negative</span>
<a name="line-277"></a><span class='hs-comment'>-- and its maximum absolute value depends on the size parameter.</span>
<a name="line-278"></a><span class='hs-definition'>arbitrarySizedIntegral</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Num</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span>
<a name="line-279"></a><span class='hs-definition'>arbitrarySizedIntegral</span> <span class='hs-keyglyph'>=</span>
<a name="line-280"></a> <span class='hs-varid'>sized</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span>
<a name="line-281"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>n'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>toInteger</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>in</span>
<a name="line-282"></a> <span class='hs-varid'>fmap</span> <span class='hs-varid'>fromInteger</span> <span class='hs-layout'>(</span><span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-varid'>n'</span><span class='hs-layout'>,</span> <span class='hs-varid'>n'</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-283"></a>
<a name="line-284"></a><a name="arbitrarySizedFractional"></a><span class='hs-comment'>-- | Generates a fractional number. The number can be positive or negative</span>
<a name="line-285"></a><span class='hs-comment'>-- and its maximum absolute value depends on the size parameter.</span>
<a name="line-286"></a><span class='hs-definition'>arbitrarySizedFractional</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Fractional</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span>
<a name="line-287"></a><span class='hs-definition'>arbitrarySizedFractional</span> <span class='hs-keyglyph'>=</span>
<a name="line-288"></a> <span class='hs-varid'>sized</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>n</span> <span class='hs-keyglyph'>-></span>
<a name="line-289"></a> <span class='hs-keyword'>let</span> <span class='hs-varid'>n'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>toInteger</span> <span class='hs-varid'>n</span> <span class='hs-keyword'>in</span>
<a name="line-290"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-varid'>n'</span><span class='hs-layout'>)</span> <span class='hs-varop'>*</span> <span class='hs-varid'>precision</span><span class='hs-layout'>,</span> <span class='hs-varid'>n'</span> <span class='hs-varop'>*</span> <span class='hs-varid'>precision</span><span class='hs-layout'>)</span>
<a name="line-291"></a> <span class='hs-varid'>b</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-num'>1</span><span class='hs-layout'>,</span> <span class='hs-varid'>precision</span><span class='hs-layout'>)</span>
<a name="line-292"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromRational</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varop'>%</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-293"></a> <span class='hs-keyword'>where</span>
<a name="line-294"></a> <span class='hs-varid'>precision</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>9999999999999</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integer</span>
<a name="line-295"></a>
<a name="line-296"></a><a name="arbitraryBoundedIntegral"></a><span class='hs-comment'>-- | Generates an integral number. The number is chosen uniformly from</span>
<a name="line-297"></a><span class='hs-comment'>-- the entire range of the type. You may want to use</span>
<a name="line-298"></a><span class='hs-comment'>-- 'arbitrarySizedBoundedIntegral' instead.</span>
<a name="line-299"></a><span class='hs-definition'>arbitraryBoundedIntegral</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bounded</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Integral</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span>
<a name="line-300"></a><span class='hs-definition'>arbitraryBoundedIntegral</span> <span class='hs-keyglyph'>=</span>
<a name="line-301"></a> <span class='hs-keyword'>do</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>mn</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>minBound</span>
<a name="line-302"></a> <span class='hs-varid'>mx</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maxBound</span> <span class='hs-varop'>`asTypeOf`</span> <span class='hs-varid'>mn</span>
<a name="line-303"></a> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-varid'>toInteger</span> <span class='hs-varid'>mn</span><span class='hs-layout'>,</span> <span class='hs-varid'>toInteger</span> <span class='hs-varid'>mx</span><span class='hs-layout'>)</span>
<a name="line-304"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromInteger</span> <span class='hs-varid'>n</span> <span class='hs-varop'>`asTypeOf`</span> <span class='hs-varid'>mn</span><span class='hs-layout'>)</span>
<a name="line-305"></a>
<a name="line-306"></a><a name="arbitraryBoundedRandom"></a><span class='hs-comment'>-- | Generates an element of a bounded type. The element is</span>
<a name="line-307"></a><span class='hs-comment'>-- chosen from the entire range of the type.</span>
<a name="line-308"></a><span class='hs-definition'>arbitraryBoundedRandom</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bounded</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Random</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span>
<a name="line-309"></a><span class='hs-definition'>arbitraryBoundedRandom</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-varid'>minBound</span><span class='hs-layout'>,</span><span class='hs-varid'>maxBound</span><span class='hs-layout'>)</span>
<a name="line-310"></a>
<a name="line-311"></a><a name="arbitrarySizedBoundedIntegral"></a><span class='hs-comment'>-- | Generates an integral number from a bounded domain. The number is</span>
<a name="line-312"></a><span class='hs-comment'>-- chosen from the entire range of the type, but small numbers are</span>
<a name="line-313"></a><span class='hs-comment'>-- generated more often than big numbers. Inspired by demands from</span>
<a name="line-314"></a><span class='hs-comment'>-- Phil Wadler.</span>
<a name="line-315"></a><span class='hs-definition'>arbitrarySizedBoundedIntegral</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Bounded</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Integral</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span>
<a name="line-316"></a><span class='hs-definition'>arbitrarySizedBoundedIntegral</span> <span class='hs-keyglyph'>=</span>
<a name="line-317"></a> <span class='hs-varid'>sized</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-></span>
<a name="line-318"></a> <span class='hs-keyword'>do</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>mn</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>minBound</span>
<a name="line-319"></a> <span class='hs-varid'>mx</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>maxBound</span> <span class='hs-varop'>`asTypeOf`</span> <span class='hs-varid'>mn</span>
<a name="line-320"></a> <span class='hs-varid'>bits</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>`quot`</span> <span class='hs-num'>2</span> <span class='hs-varop'>==</span> <span class='hs-num'>0</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>0</span>
<a name="line-321"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>1</span> <span class='hs-varop'>+</span> <span class='hs-varid'>bits</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-varop'>`quot`</span> <span class='hs-num'>2</span><span class='hs-layout'>)</span>
<a name="line-322"></a> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-num'>2</span><span class='hs-varop'>^</span><span class='hs-layout'>(</span><span class='hs-varid'>s</span><span class='hs-varop'>*</span><span class='hs-layout'>(</span><span class='hs-varid'>bits</span> <span class='hs-varid'>mn</span> <span class='hs-varop'>`max`</span> <span class='hs-varid'>bits</span> <span class='hs-varid'>mx</span> <span class='hs-varop'>`max`</span> <span class='hs-num'>40</span><span class='hs-layout'>)</span> <span class='hs-varop'>`div`</span> <span class='hs-num'>100</span><span class='hs-layout'>)</span>
<a name="line-323"></a> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>choose</span> <span class='hs-layout'>(</span><span class='hs-varid'>toInteger</span> <span class='hs-varid'>mn</span> <span class='hs-varop'>`max`</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-varid'>k</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-varid'>toInteger</span> <span class='hs-varid'>mx</span> <span class='hs-varop'>`min`</span> <span class='hs-varid'>k</span><span class='hs-layout'>)</span>
<a name="line-324"></a> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>fromInteger</span> <span class='hs-varid'>n</span> <span class='hs-varop'>`asTypeOf`</span> <span class='hs-varid'>mn</span><span class='hs-layout'>)</span>
<a name="line-325"></a>
<a name="line-326"></a><span class='hs-comment'>-- ** Helper functions for implementing shrink</span>
<a name="line-327"></a>
<a name="line-328"></a><a name="shrinkNothing"></a><span class='hs-comment'>-- | Returns no shrinking alternatives. </span>
<a name="line-329"></a><span class='hs-definition'>shrinkNothing</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-330"></a><span class='hs-definition'>shrinkNothing</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-331"></a>
<a name="line-332"></a><a name="shrinkIntegral"></a><span class='hs-comment'>-- | Shrink an integral number.</span>
<a name="line-333"></a><span class='hs-definition'>shrinkIntegral</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integral</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-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-334"></a><span class='hs-definition'>shrinkIntegral</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span>
<a name="line-335"></a> <span class='hs-varid'>nub</span> <span class='hs-varop'>$</span>
<a name="line-336"></a> <span class='hs-keyglyph'>[</span> <span class='hs-comment'>-</span><span class='hs-varid'>x</span>
<a name="line-337"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'><</span> <span class='hs-num'>0</span><span class='hs-layout'>,</span> <span class='hs-comment'>-</span><span class='hs-varid'>x</span> <span class='hs-varop'>></span> <span class='hs-varid'>x</span>
<a name="line-338"></a> <span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span>
<a name="line-339"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>x'</span>
<a name="line-340"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>takeWhile</span> <span class='hs-layout'>(</span><span class='hs-varop'><<</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-num'>0</span><span class='hs-conop'>:</span><span class='hs-keyglyph'>[</span> <span class='hs-varid'>x</span> <span class='hs-comment'>-</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>tail</span> <span class='hs-layout'>(</span><span class='hs-varid'>iterate</span> <span class='hs-layout'>(</span><span class='hs-varop'>`quot`</span> <span class='hs-num'>2</span><span class='hs-layout'>)</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>]</span><span class='hs-layout'>)</span>
<a name="line-341"></a> <span class='hs-keyglyph'>]</span>
<a name="line-342"></a> <span class='hs-keyword'>where</span>
<a name="line-343"></a> <span class='hs-comment'>-- a << b is "morally" abs a < abs b, but taking care of overflow.</span>
<a name="line-344"></a> <span class='hs-varid'>a</span> <span class='hs-varop'><<</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-varop'>>=</span> <span class='hs-num'>0</span><span class='hs-layout'>,</span> <span class='hs-varid'>b</span> <span class='hs-varop'>>=</span> <span class='hs-num'>0</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span>
<a name="line-345"></a> <span class='hs-layout'>(</span><span class='hs-conid'>True</span><span class='hs-layout'>,</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-varop'><</span> <span class='hs-varid'>b</span>
<a name="line-346"></a> <span class='hs-layout'>(</span><span class='hs-conid'>False</span><span class='hs-layout'>,</span> <span class='hs-conid'>False</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-varop'>></span> <span class='hs-varid'>b</span>
<a name="line-347"></a> <span class='hs-layout'>(</span><span class='hs-conid'>True</span><span class='hs-layout'>,</span> <span class='hs-conid'>False</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-varop'>+</span> <span class='hs-varid'>b</span> <span class='hs-varop'><</span> <span class='hs-num'>0</span>
<a name="line-348"></a> <span class='hs-layout'>(</span><span class='hs-conid'>False</span><span class='hs-layout'>,</span> <span class='hs-conid'>True</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>a</span> <span class='hs-varop'>+</span> <span class='hs-varid'>b</span> <span class='hs-varop'>></span> <span class='hs-num'>0</span>
<a name="line-349"></a>
<a name="line-350"></a><a name="shrinkRealFrac"></a><span class='hs-comment'>-- | Shrink a fraction.</span>
<a name="line-351"></a><span class='hs-definition'>shrinkRealFrac</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>RealFrac</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-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-352"></a><span class='hs-definition'>shrinkRealFrac</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span>
<a name="line-353"></a> <span class='hs-varid'>nub</span> <span class='hs-varop'>$</span>
<a name="line-354"></a> <span class='hs-keyglyph'>[</span> <span class='hs-comment'>-</span><span class='hs-varid'>x</span>
<a name="line-355"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x</span> <span class='hs-varop'><</span> <span class='hs-num'>0</span>
<a name="line-356"></a> <span class='hs-keyglyph'>]</span> <span class='hs-varop'>++</span>
<a name="line-357"></a> <span class='hs-keyglyph'>[</span> <span class='hs-varid'>x'</span>
<a name="line-358"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>x'</span> <span class='hs-keyglyph'><-</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>fromInteger</span> <span class='hs-layout'>(</span><span class='hs-varid'>truncate</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-keyglyph'>]</span>
<a name="line-359"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>x'</span> <span class='hs-varop'><<</span> <span class='hs-varid'>x</span>
<a name="line-360"></a> <span class='hs-keyglyph'>]</span>
<a name="line-361"></a> <span class='hs-keyword'>where</span>
<a name="line-362"></a> <span class='hs-varid'>a</span> <span class='hs-varop'><<</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>abs</span> <span class='hs-varid'>a</span> <span class='hs-varop'><</span> <span class='hs-varid'>abs</span> <span class='hs-varid'>b</span>
<a name="line-363"></a>
<a name="line-364"></a><span class='hs-comment'>--------------------------------------------------------------------------</span>
<a name="line-365"></a><span class='hs-comment'>-- ** CoArbitrary</span>
<a name="line-366"></a>
<a name="line-367"></a><a name="CoArbitrary"></a><span class='hs-comment'>-- | Used for random generation of functions.</span>
<a name="line-368"></a><a name="CoArbitrary"></a><span class='hs-keyword'>class</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>where</span>
<a name="line-369"></a> <span class='hs-comment'>-- | Used to generate a function of type @a -> c@. The implementation</span>
<a name="line-370"></a> <span class='hs-comment'>-- should use the first argument to perturb the random generator</span>
<a name="line-371"></a> <span class='hs-comment'>-- given as the second argument. the returned generator </span>
<a name="line-372"></a> <span class='hs-comment'>-- is then used to generate the function result.</span>
<a name="line-373"></a> <span class='hs-comment'>-- You can often use 'variant' and '><' to implement </span>
<a name="line-374"></a> <span class='hs-comment'>-- 'coarbitrary'.</span>
<a name="line-375"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>c</span>
<a name="line-376"></a>
<a name="line-377"></a><span class='hs-comment'>{-
<a name="line-378"></a> -- GHC definition:
<a name="line-379"></a> coarbitrary{| Unit |} Unit = id
<a name="line-380"></a> coarbitrary{| a :*: b |} (x :*: y) = coarbitrary x >< coarbitrary y
<a name="line-381"></a> coarbitrary{| a :+: b |} (Inl x) = variant 0 . coarbitrary x
<a name="line-382"></a> coarbitrary{| a :+: b |} (Inr y) = variant (-1) . coarbitrary y
<a name="line-383"></a>-}</span>
<a name="line-384"></a>
<a name="line-385"></a><a name="%3e%3c"></a><span class='hs-comment'>-- | Combine two generator perturbing functions, for example the </span>
<a name="line-386"></a><span class='hs-comment'>-- results of calls to 'variant' or 'coarbitrary'.</span>
<a name="line-387"></a><span class='hs-layout'>(</span><span class='hs-varop'>><</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</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'>Gen</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</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'>Gen</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-388"></a><span class='hs-layout'>(</span><span class='hs-varop'>><</span><span class='hs-layout'>)</span> <span class='hs-varid'>f</span> <span class='hs-varid'>g</span> <span class='hs-varid'>gen</span> <span class='hs-keyglyph'>=</span>
<a name="line-389"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>n</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>arbitrary</span>
<a name="line-390"></a> <span class='hs-layout'>(</span><span class='hs-varid'>g</span> <span class='hs-varop'>.</span> <span class='hs-varid'>variant</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>f</span><span class='hs-layout'>)</span> <span class='hs-varid'>gen</span>
<a name="line-391"></a>
<a name="line-392"></a><span class='hs-comment'>-- for the sake of non-GHC compilers, I have added definitions</span>
<a name="line-393"></a><span class='hs-comment'>-- for coarbitrary here.</span>
<a name="line-394"></a>
<a name="line-395"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-></span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-396"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>f</span> <span class='hs-varid'>gen</span> <span class='hs-keyglyph'>=</span>
<a name="line-397"></a> <span class='hs-keyword'>do</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'><-</span> <span class='hs-varid'>arbitrary</span>
<a name="line-398"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>map</span> <span class='hs-varid'>f</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <span class='hs-varid'>gen</span>
<a name="line-399"></a>
<a name="line-400"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>()</span> <span class='hs-keyword'>where</span>
<a name="line-401"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>id</span>
<a name="line-402"></a>
<a name="line-403"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Bool</span> <span class='hs-keyword'>where</span>
<a name="line-404"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-conid'>False</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>variant</span> <span class='hs-num'>0</span>
<a name="line-405"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-conid'>True</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>variant</span> <span class='hs-layout'>(</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span>
<a name="line-406"></a>
<a name="line-407"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Maybe</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-408"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-conid'>Nothing</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>variant</span> <span class='hs-num'>0</span>
<a name="line-409"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Just</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>variant</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-varid'>coarbitrary</span> <span class='hs-varid'>x</span>
<a name="line-410"></a>
<a name="line-411"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Either</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-412"></a> <span class='hs-varid'>coarbitrary</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-keyglyph'>=</span> <span class='hs-varid'>variant</span> <span class='hs-num'>0</span> <span class='hs-varop'>.</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>x</span>
<a name="line-413"></a> <span class='hs-varid'>coarbitrary</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-keyglyph'>=</span> <span class='hs-varid'>variant</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-varid'>coarbitrary</span> <span class='hs-varid'>y</span>
<a name="line-414"></a>
<a name="line-415"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyword'>where</span>
<a name="line-416"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>variant</span> <span class='hs-num'>0</span>
<a name="line-417"></a> <span class='hs-varid'>coarbitrary</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'>variant</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-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-418"></a>
<a name="line-419"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>Integral</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ratio</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-420"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>numerator</span> <span class='hs-varid'>r</span><span class='hs-layout'>,</span><span class='hs-varid'>denominator</span> <span class='hs-varid'>r</span><span class='hs-layout'>)</span>
<a name="line-421"></a>
<a name="line-422"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>RealFloat</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-layout'>(</span><span class='hs-conid'>Complex</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-423"></a> <span class='hs-varid'>coarbitrary</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-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>x</span> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>y</span>
<a name="line-424"></a>
<a name="line-425"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span>
<a name="line-426"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</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>
<a name="line-427"></a> <span class='hs-keyword'>where</span>
<a name="line-428"></a> <span class='hs-varid'>coarbitrary</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'>coarbitrary</span> <span class='hs-varid'>x</span>
<a name="line-429"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>y</span>
<a name="line-430"></a>
<a name="line-431"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-432"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</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-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-433"></a> <span class='hs-keyword'>where</span>
<a name="line-434"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>x</span>
<a name="line-435"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>y</span>
<a name="line-436"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>z</span>
<a name="line-437"></a>
<a name="line-438"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-439"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</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-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>d</span><span class='hs-layout'>)</span>
<a name="line-440"></a> <span class='hs-keyword'>where</span>
<a name="line-441"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>,</span><span class='hs-varid'>v</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>x</span>
<a name="line-442"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>y</span>
<a name="line-443"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>z</span>
<a name="line-444"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>v</span>
<a name="line-445"></a>
<a name="line-446"></a><span class='hs-keyword'>instance</span> <span class='hs-layout'>(</span><span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>b</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>c</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>d</span><span class='hs-layout'>,</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-447"></a> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>CoArbitrary</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-varid'>c</span><span class='hs-layout'>,</span><span class='hs-varid'>d</span><span class='hs-layout'>,</span><span class='hs-varid'>e</span><span class='hs-layout'>)</span>
<a name="line-448"></a> <span class='hs-keyword'>where</span>
<a name="line-449"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span><span class='hs-layout'>,</span><span class='hs-varid'>y</span><span class='hs-layout'>,</span><span class='hs-varid'>z</span><span class='hs-layout'>,</span><span class='hs-varid'>v</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-varid'>coarbitrary</span> <span class='hs-varid'>x</span>
<a name="line-450"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>y</span>
<a name="line-451"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>z</span>
<a name="line-452"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>v</span>
<a name="line-453"></a> <span class='hs-varop'>><</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varid'>w</span>
<a name="line-454"></a>
<a name="line-455"></a><span class='hs-comment'>-- typical instance for primitive (numerical) types</span>
<a name="line-456"></a>
<a name="line-457"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Integer</span> <span class='hs-keyword'>where</span>
<a name="line-458"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-459"></a>
<a name="line-460"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Int</span> <span class='hs-keyword'>where</span>
<a name="line-461"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-462"></a>
<a name="line-463"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Int8</span> <span class='hs-keyword'>where</span>
<a name="line-464"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-465"></a>
<a name="line-466"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Int16</span> <span class='hs-keyword'>where</span>
<a name="line-467"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-468"></a>
<a name="line-469"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Int32</span> <span class='hs-keyword'>where</span>
<a name="line-470"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-471"></a>
<a name="line-472"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Int64</span> <span class='hs-keyword'>where</span>
<a name="line-473"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-474"></a>
<a name="line-475"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Word</span> <span class='hs-keyword'>where</span>
<a name="line-476"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-477"></a>
<a name="line-478"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Word8</span> <span class='hs-keyword'>where</span>
<a name="line-479"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-480"></a>
<a name="line-481"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Word16</span> <span class='hs-keyword'>where</span>
<a name="line-482"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-483"></a>
<a name="line-484"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Word32</span> <span class='hs-keyword'>where</span>
<a name="line-485"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-486"></a>
<a name="line-487"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Word64</span> <span class='hs-keyword'>where</span>
<a name="line-488"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryIntegral</span>
<a name="line-489"></a>
<a name="line-490"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Char</span> <span class='hs-keyword'>where</span>
<a name="line-491"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-varop'>.</span> <span class='hs-varid'>ord</span>
<a name="line-492"></a>
<a name="line-493"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Float</span> <span class='hs-keyword'>where</span>
<a name="line-494"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryReal</span>
<a name="line-495"></a>
<a name="line-496"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>CoArbitrary</span> <span class='hs-conid'>Double</span> <span class='hs-keyword'>where</span>
<a name="line-497"></a> <span class='hs-varid'>coarbitrary</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitraryReal</span>
<a name="line-498"></a>
<a name="line-499"></a><span class='hs-comment'>-- ** Helpers for implementing coarbitrary</span>
<a name="line-500"></a>
<a name="line-501"></a><a name="coarbitraryIntegral"></a><span class='hs-comment'>-- | A 'coarbitrary' implementation for integral numbers.</span>
<a name="line-502"></a><span class='hs-definition'>coarbitraryIntegral</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Integral</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'>Gen</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>b</span>
<a name="line-503"></a><span class='hs-definition'>coarbitraryIntegral</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>variant</span>
<a name="line-504"></a>
<a name="line-505"></a><a name="coarbitraryReal"></a><span class='hs-comment'>-- | A 'coarbitrary' implementation for real numbers.</span>
<a name="line-506"></a><span class='hs-definition'>coarbitraryReal</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Real</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'>Gen</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>b</span>
<a name="line-507"></a><span class='hs-definition'>coarbitraryReal</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>toRational</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-508"></a>
<a name="line-509"></a><a name="coarbitraryShow"></a><span class='hs-comment'>-- | 'coarbitrary' helper for lazy people :-).</span>
<a name="line-510"></a><span class='hs-definition'>coarbitraryShow</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Show</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'>Gen</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-varid'>b</span>
<a name="line-511"></a><span class='hs-definition'>coarbitraryShow</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>coarbitrary</span> <span class='hs-layout'>(</span><span class='hs-varid'>show</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-512"></a>
<a name="line-513"></a><span class='hs-comment'>--------------------------------------------------------------------------</span>
<a name="line-514"></a><span class='hs-comment'>-- ** arbitrary generators</span>
<a name="line-515"></a>
<a name="line-516"></a><span class='hs-comment'>-- these are here and not in Gen because of the Arbitrary class constraint</span>
<a name="line-517"></a>
<a name="line-518"></a><a name="vector"></a><span class='hs-comment'>-- | Generates a list of a given length.</span>
<a name="line-519"></a><span class='hs-definition'>vector</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Gen</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-520"></a><span class='hs-definition'>vector</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>vectorOf</span> <span class='hs-varid'>k</span> <span class='hs-varid'>arbitrary</span>
<a name="line-521"></a>
<a name="line-522"></a><a name="orderedList"></a><span class='hs-comment'>-- | Generates an ordered list of a given length.</span>
<a name="line-523"></a><span class='hs-definition'>orderedList</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-conid'>Ord</span> <span class='hs-varid'>a</span><span class='hs-layout'>,</span> <span class='hs-conid'>Arbitrary</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=></span> <span class='hs-conid'>Gen</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-524"></a><span class='hs-definition'>orderedList</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>sort</span> <span class='hs-varop'>`fmap`</span> <span class='hs-varid'>arbitrary</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'>-- the end.</span>
</pre></body>
</html>
