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<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html>
<head>
<!-- Generated by HsColour, http://code.haskell.org/~malcolm/hscolour/ -->
<title>Control/Parallel/Strategies.hs</title>
<link type='text/css' rel='stylesheet' href='hscolour.css' />
</head>
<body>
<pre><a name="line-1"></a><span class='hs-comment'>{-# LANGUAGE BangPatterns, CPP, MagicHash, UnboxedTuples #-}</span>
<a name="line-2"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-3"></a><span class='hs-comment'>-- |</span>
<a name="line-4"></a><span class='hs-comment'>-- Module      :  Control.Parallel.Strategies</span>
<a name="line-5"></a><span class='hs-comment'>-- Copyright   :  (c) The University of Glasgow 2001-2010</span>
<a name="line-6"></a><span class='hs-comment'>-- License     :  BSD-style (see the file libraries/base/LICENSE)</span>
<a name="line-7"></a><span class='hs-comment'>--</span>
<a name="line-8"></a><span class='hs-comment'>-- Maintainer  :  libraries@haskell.org</span>
<a name="line-9"></a><span class='hs-comment'>-- Stability   :  experimental</span>
<a name="line-10"></a><span class='hs-comment'>-- Portability :  portable</span>
<a name="line-11"></a><span class='hs-comment'>--</span>
<a name="line-12"></a><span class='hs-comment'>-- Parallel Evaluation Strategies, or Strategies for short, provide</span>
<a name="line-13"></a><span class='hs-comment'>-- ways to express parallel computations.  Strategies have the following</span>
<a name="line-14"></a><span class='hs-comment'>-- key features:</span>
<a name="line-15"></a><span class='hs-comment'>--</span>
<a name="line-16"></a><span class='hs-comment'>--  * Strategies express /deterministic parallelism/:</span>
<a name="line-17"></a><span class='hs-comment'>--    the result of the program is unaffected by evaluating in parallel.</span>
<a name="line-18"></a><span class='hs-comment'>--    The parallel tasks evaluated by a Strategy may have no side effects.</span>
<a name="line-19"></a><span class='hs-comment'>--    For non-deterministic parallel programming, see "Control.Concurrent".</span>
<a name="line-20"></a><span class='hs-comment'>--</span>
<a name="line-21"></a><span class='hs-comment'>--  * Strategies let you separate the description of the parallelism from the</span>
<a name="line-22"></a><span class='hs-comment'>--    logic of your program, enabling modular parallelism.  The basic idea</span>
<a name="line-23"></a><span class='hs-comment'>--    is to build a lazy data structure representing the computation, and</span>
<a name="line-24"></a><span class='hs-comment'>--    then write a Strategy that describes how to traverse the data structure</span>
<a name="line-25"></a><span class='hs-comment'>--    and evaluate components of it sequentially or in parallel.</span>
<a name="line-26"></a><span class='hs-comment'>--</span>
<a name="line-27"></a><span class='hs-comment'>--  * Strategies are /compositional/: larger strategies can be built</span>
<a name="line-28"></a><span class='hs-comment'>--    by gluing together smaller ones.</span>
<a name="line-29"></a><span class='hs-comment'>--</span>
<a name="line-30"></a><span class='hs-comment'>--  * 'Monad' and 'Applicative' instances are provided, for quickly building</span>
<a name="line-31"></a><span class='hs-comment'>--    strategies that involve traversing structures in a regular way.</span>
<a name="line-32"></a><span class='hs-comment'>--</span>
<a name="line-33"></a><span class='hs-comment'>-- For API history and changes in this release, see "Control.Parallel.Strategies#history".</span>
<a name="line-34"></a>
<a name="line-35"></a><span class='hs-comment'>-----------------------------------------------------------------------------</span>
<a name="line-36"></a>
<a name="line-37"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Parallel</span><span class='hs-varop'>.</span><span class='hs-conid'>Strategies</span> <span class='hs-layout'>(</span>
<a name="line-38"></a>         <span class='hs-comment'>-- * The strategy type</span>
<a name="line-39"></a>         <span class='hs-conid'>Strategy</span>
<a name="line-40"></a>
<a name="line-41"></a>         <span class='hs-comment'>-- * Application of strategies</span>
<a name="line-42"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>using</span>             <span class='hs-comment'>-- :: a -&gt; Strategy a -&gt; a</span>
<a name="line-43"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>withStrategy</span>      <span class='hs-comment'>-- :: Strategy a -&gt; a -&gt; a</span>
<a name="line-44"></a>
<a name="line-45"></a>         <span class='hs-comment'>-- * Composition of strategies</span>
<a name="line-46"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>dot</span>               <span class='hs-comment'>-- :: Strategy a -&gt; Strategy a -&gt; Strategy a</span>
<a name="line-47"></a>
<a name="line-48"></a>         <span class='hs-comment'>-- * Basic strategies</span>
<a name="line-49"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>r0</span>                <span class='hs-comment'>-- :: Strategy a</span>
<a name="line-50"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>rseq</span>
<a name="line-51"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>rdeepseq</span>          <span class='hs-comment'>-- :: NFData a =&gt; Strategy a</span>
<a name="line-52"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>rpar</span>              <span class='hs-comment'>-- :: Strategy a</span>
<a name="line-53"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>rparWith</span>          <span class='hs-comment'>-- :: Strategy a -&gt; Strategy a</span>
<a name="line-54"></a>
<a name="line-55"></a>         <span class='hs-comment'>-- * Injection of sequential strategies</span>
<a name="line-56"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalSeq</span>           <span class='hs-comment'>-- :: Seq.Strategy a -&gt; Strategy a</span>
<a name="line-57"></a>       <span class='hs-layout'>,</span> <span class='hs-conid'>SeqStrategy</span>
<a name="line-58"></a>
<a name="line-59"></a>         <span class='hs-comment'>-- * Strategies for traversable data types</span>
<a name="line-60"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTraversable</span>   <span class='hs-comment'>-- :: Traversable t =&gt; Strategy a -&gt; Strategy (t a)</span>
<a name="line-61"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTraversable</span>
<a name="line-62"></a>
<a name="line-63"></a>         <span class='hs-comment'>-- * Strategies for lists</span>
<a name="line-64"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalList</span>          <span class='hs-comment'>-- :: Strategy a -&gt; Strategy [a]</span>
<a name="line-65"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parList</span>
<a name="line-66"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalListN</span>         <span class='hs-comment'>-- :: Int -&gt; Strategy a -&gt; Strategy [a]</span>
<a name="line-67"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parListN</span>
<a name="line-68"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalListNth</span>       <span class='hs-comment'>-- :: Int -&gt; Strategy a -&gt; Strategy [a]</span>
<a name="line-69"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parListNth</span>
<a name="line-70"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalListSplitAt</span>   <span class='hs-comment'>-- :: Int -&gt; Strategy [a] -&gt; Strategy [a] -&gt; Strategy [a]</span>
<a name="line-71"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parListSplitAt</span>
<a name="line-72"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parListChunk</span>
<a name="line-73"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parMap</span>
<a name="line-74"></a>
<a name="line-75"></a>         <span class='hs-comment'>-- ** Strategies for lazy lists</span>
<a name="line-76"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalBuffer</span>        <span class='hs-comment'>-- :: Int -&gt; Strategy a -&gt; Strategy [a]</span>
<a name="line-77"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parBuffer</span>
<a name="line-78"></a>
<a name="line-79"></a>         <span class='hs-comment'>-- * Strategies for tuples</span>
<a name="line-80"></a>
<a name="line-81"></a>         <span class='hs-comment'>-- | Evaluate the components of a tuple according to the</span>
<a name="line-82"></a>         <span class='hs-comment'>-- given strategies.</span>
<a name="line-83"></a>
<a name="line-84"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple2</span>        <span class='hs-comment'>-- :: Strategy a -&gt; ... -&gt; Strategy (a,...)</span>
<a name="line-85"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple3</span>
<a name="line-86"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple4</span>
<a name="line-87"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple5</span>
<a name="line-88"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple6</span>
<a name="line-89"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple7</span>
<a name="line-90"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple8</span>
<a name="line-91"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>evalTuple9</span>
<a name="line-92"></a>
<a name="line-93"></a>
<a name="line-94"></a>       <span class='hs-comment'>-- | Evaluate the components of a tuple in parallel according to</span>
<a name="line-95"></a>       <span class='hs-comment'>-- the given strategies.</span>
<a name="line-96"></a>
<a name="line-97"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple2</span>         <span class='hs-comment'>-- :: Strategy a -&gt; ... -&gt; Strategy (a,...)</span>
<a name="line-98"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple3</span>
<a name="line-99"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple4</span>
<a name="line-100"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple5</span>
<a name="line-101"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple6</span>
<a name="line-102"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple7</span>
<a name="line-103"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple8</span>
<a name="line-104"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>parTuple9</span>
<a name="line-105"></a>
<a name="line-106"></a>         <span class='hs-comment'>-- * Strategic function application</span>
<a name="line-107"></a>       <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>$|</span><span class='hs-layout'>)</span>              <span class='hs-comment'>-- :: (a -&gt; b) -&gt; Strategy a -&gt; a -&gt; b</span>
<a name="line-108"></a>       <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>$||</span><span class='hs-layout'>)</span>
<a name="line-109"></a>       <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.|</span><span class='hs-layout'>)</span>              <span class='hs-comment'>-- :: (b -&gt; c) -&gt; Strategy b -&gt; (a -&gt; b) -&gt; a -&gt; c</span>
<a name="line-110"></a>       <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>.||</span><span class='hs-layout'>)</span>
<a name="line-111"></a>       <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>-|</span><span class='hs-layout'>)</span>              <span class='hs-comment'>-- :: (a -&gt; b) -&gt; Strategy b -&gt; (b -&gt; c) -&gt; a -&gt; c</span>
<a name="line-112"></a>       <span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>-||</span><span class='hs-layout'>)</span>
<a name="line-113"></a>
<a name="line-114"></a>         <span class='hs-comment'>-- * For Strategy programmers</span>
<a name="line-115"></a>       <span class='hs-layout'>,</span> <span class='hs-conid'>Eval</span>              <span class='hs-comment'>-- instances: Monad, Functor, Applicative</span>
<a name="line-116"></a>       <span class='hs-layout'>,</span> <span class='hs-varid'>runEval</span>           <span class='hs-comment'>-- :: Eval a -&gt; a</span>
<a name="line-117"></a>       <span class='hs-layout'>,</span>
<a name="line-118"></a>
<a name="line-119"></a>    <span class='hs-comment'>-- * API History</span>
<a name="line-120"></a>
<a name="line-121"></a>    <span class='hs-comment'>-- $history</span>
<a name="line-122"></a>
<a name="line-123"></a>    <span class='hs-comment'>-- * Backwards compatibility</span>
<a name="line-124"></a>
<a name="line-125"></a>    <span class='hs-comment'>-- | These functions and types are all deprecated, and will be</span>
<a name="line-126"></a>    <span class='hs-comment'>-- removed in a future release.  In all cases they have been</span>
<a name="line-127"></a>    <span class='hs-comment'>-- either renamed or replaced with equivalent functionality.</span>
<a name="line-128"></a>
<a name="line-129"></a>    <span class='hs-conid'>Done</span><span class='hs-layout'>,</span> <span class='hs-varid'>demanding</span><span class='hs-layout'>,</span> <span class='hs-varid'>sparking</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&gt;|</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span> <span class='hs-layout'>(</span><span class='hs-varop'>&gt;||</span><span class='hs-layout'>)</span><span class='hs-layout'>,</span>
<a name="line-130"></a>    <span class='hs-varid'>rwhnf</span><span class='hs-layout'>,</span> <span class='hs-varid'>unEval</span><span class='hs-layout'>,</span>
<a name="line-131"></a>    <span class='hs-varid'>seqTraverse</span><span class='hs-layout'>,</span> <span class='hs-varid'>parTraverse</span><span class='hs-layout'>,</span>
<a name="line-132"></a>    <span class='hs-varid'>seqList</span><span class='hs-layout'>,</span>
<a name="line-133"></a>    <span class='hs-varid'>seqPair</span><span class='hs-layout'>,</span> <span class='hs-varid'>parPair</span><span class='hs-layout'>,</span>
<a name="line-134"></a>    <span class='hs-varid'>seqTriple</span><span class='hs-layout'>,</span> <span class='hs-varid'>parTriple</span><span class='hs-layout'>,</span>
<a name="line-135"></a>
<a name="line-136"></a>    <span class='hs-comment'>-- * For API completeness</span>
<a name="line-137"></a>
<a name="line-138"></a>    <span class='hs-comment'>-- | so users of 'rdeepseq' aren't required to import Control.DeepSeq:</span>
<a name="line-139"></a>    <span class='hs-conid'>NFData</span>
<a name="line-140"></a>  <span class='hs-layout'>)</span> <span class='hs-keyword'>where</span>
<a name="line-141"></a>
<a name="line-142"></a><span class='hs-cpp'>#if !MIN_VERSION_base(4,8,0)</span>
<a name="line-143"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Data</span><span class='hs-varop'>.</span><span class='hs-conid'>Traversable</span>
<a name="line-144"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Applicative</span>
<a name="line-145"></a><span class='hs-cpp'>#endif</span>
<a name="line-146"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Parallel</span>
<a name="line-147"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>DeepSeq</span> <span class='hs-layout'>(</span><span class='hs-conid'>NFData</span><span class='hs-layout'>(</span><span class='hs-varid'>rnf</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-148"></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-149"></a>
<a name="line-150"></a><span class='hs-keyword'>import</span> <span class='hs-keyword'>qualified</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Seq</span>
<a name="line-151"></a>
<a name="line-152"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>GHC</span><span class='hs-varop'>.</span><span class='hs-conid'>Exts</span>
<a name="line-153"></a>
<a name="line-154"></a><span class='hs-keyword'>infixr</span> <span class='hs-num'>9</span> <span class='hs-varop'>`dot`</span>     <span class='hs-comment'>-- same as (.)</span>
<a name="line-155"></a><span class='hs-keyword'>infixl</span> <span class='hs-num'>0</span> <span class='hs-varop'>`using`</span>   <span class='hs-comment'>-- lowest precedence and associate to the left</span>
<a name="line-156"></a>
<a name="line-157"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-158"></a><span class='hs-comment'>-- Eval monad (isomorphic to Lift monad from MonadLib 3.6.1)</span>
<a name="line-159"></a>
<a name="line-160"></a><span class='hs-comment'>-- | 'Eval' is a Monad that makes it easier to define parallel</span>
<a name="line-161"></a><span class='hs-comment'>-- strategies.  It is a strict identity monad: that is, in</span>
<a name="line-162"></a><span class='hs-comment'>--</span>
<a name="line-163"></a><span class='hs-comment'>--  &gt; m &gt;&gt;= f</span>
<a name="line-164"></a><span class='hs-comment'>--</span>
<a name="line-165"></a><span class='hs-comment'>-- @m@ is evaluated before the result is passed to @f@.</span>
<a name="line-166"></a><span class='hs-comment'>--</span>
<a name="line-167"></a><span class='hs-comment'>--  &gt; instance Monad Eval where</span>
<a name="line-168"></a><span class='hs-comment'>--  &gt;   return  = Done</span>
<a name="line-169"></a><span class='hs-comment'>--  &gt;   m &gt;&gt;= k = case m of</span>
<a name="line-170"></a><span class='hs-comment'>--  &gt;               Done x -&gt; k x</span>
<a name="line-171"></a><span class='hs-comment'>--</span>
<a name="line-172"></a><span class='hs-comment'>-- If you wanted to construct a 'Strategy' for a pair that sparked the</span>
<a name="line-173"></a><span class='hs-comment'>-- first component in parallel and then evaluated the second</span>
<a name="line-174"></a><span class='hs-comment'>-- component, you could write</span>
<a name="line-175"></a><span class='hs-comment'>--</span>
<a name="line-176"></a><span class='hs-comment'>-- &gt; myStrat :: Strategy (a,b)</span>
<a name="line-177"></a><span class='hs-comment'>-- &gt; myStrat (a,b) = do { a' &lt;- rpar a; b' &lt;- rseq b; return (a',b') }</span>
<a name="line-178"></a><span class='hs-comment'>--</span>
<a name="line-179"></a><span class='hs-comment'>-- Alternatively, you could write this more compactly using the</span>
<a name="line-180"></a><span class='hs-comment'>-- Applicative style as</span>
<a name="line-181"></a><span class='hs-comment'>--</span>
<a name="line-182"></a><span class='hs-comment'>-- &gt; myStrat (a,b) = (,) &lt;$&gt; rpar a &lt;*&gt; rseq b</span>
<a name="line-183"></a>
<a name="line-184"></a><span class='hs-comment'>-- More examples, using the Applicative instance:</span>
<a name="line-185"></a><span class='hs-comment'>--</span>
<a name="line-186"></a><span class='hs-comment'>-- &gt; parList :: Strategy a -&gt; Strategy [a]</span>
<a name="line-187"></a><span class='hs-comment'>-- &gt; parList strat = traverse (rpar `dot` strat))</span>
<a name="line-188"></a><span class='hs-comment'>--</span>
<a name="line-189"></a><span class='hs-comment'>-- &gt; evalPair :: Strategy a -&gt; Strategy b -&gt; Strategy (a,b)</span>
<a name="line-190"></a><span class='hs-comment'>-- &gt; evalPair f g (a,b) = pure (,) &lt;$&gt; f a &lt;*&gt; g b</span>
<a name="line-191"></a><span class='hs-comment'>--</span>
<a name="line-192"></a>
<a name="line-193"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &gt;= 702</span>
<a name="line-194"></a>
<a name="line-195"></a><a name="Eval"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>Eval</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Eval</span> <span class='hs-layout'>(</span><span class='hs-conid'>State</span><span class='hs-cpp'>#</span> <span class='hs-conid'>RealWorld</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-cpp'>#</span> <span class='hs-conid'>State</span><span class='hs-cpp'>#</span> <span class='hs-conid'>RealWorld</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-cpp'>#</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-196"></a>  <span class='hs-comment'>-- GHC 7.2.1 added the seq# and spark# primitives, that we use in</span>
<a name="line-197"></a>  <span class='hs-comment'>-- the Eval monad implementation in order to get the correct</span>
<a name="line-198"></a>  <span class='hs-comment'>-- strictness behaviour.</span>
<a name="line-199"></a>
<a name="line-200"></a><a name="runEval"></a><span class='hs-comment'>-- | Pull the result out of the monad.</span>
<a name="line-201"></a><span class='hs-definition'>runEval</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Eval</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-202"></a><span class='hs-definition'>runEval</span> <span class='hs-layout'>(</span><span class='hs-conid'>Eval</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>x</span> <span class='hs-varid'>realWorld</span><span class='hs-cpp'>#</span> <span class='hs-keyword'>of</span> <span class='hs-layout'>(</span><span class='hs-cpp'>#</span> <span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-cpp'>#</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-203"></a>
<a name="line-204"></a><a name="instance%20Functor%20Eval"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-conid'>Eval</span> <span class='hs-keyword'>where</span>
<a name="line-205"></a>  <span class='hs-varid'>fmap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM</span>
<a name="line-206"></a>
<a name="line-207"></a><a name="instance%20Applicative%20Eval"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Applicative</span> <span class='hs-conid'>Eval</span> <span class='hs-keyword'>where</span>
<a name="line-208"></a>  <span class='hs-varid'>pure</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Eval</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-cpp'>#</span> <span class='hs-varid'>s</span><span class='hs-layout'>,</span> <span class='hs-varid'>x</span> <span class='hs-cpp'>#</span><span class='hs-layout'>)</span>
<a name="line-209"></a>  <span class='hs-layout'>(</span><span class='hs-varop'>&lt;*&gt;</span><span class='hs-layout'>)</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ap</span>
<a name="line-210"></a>
<a name="line-211"></a><a name="instance%20Monad%20Eval"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Monad</span> <span class='hs-conid'>Eval</span> <span class='hs-keyword'>where</span>
<a name="line-212"></a>  <span class='hs-varid'>return</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span>
<a name="line-213"></a>  <span class='hs-conid'>Eval</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Eval</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>x</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>of</span>
<a name="line-214"></a>                                <span class='hs-layout'>(</span><span class='hs-cpp'>#</span> <span class='hs-varid'>s'</span><span class='hs-layout'>,</span> <span class='hs-varid'>a</span> <span class='hs-cpp'>#</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>k</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>of</span>
<a name="line-215"></a>                                                      <span class='hs-conid'>Eval</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>f</span> <span class='hs-varid'>s'</span>
<a name="line-216"></a><span class='hs-cpp'>#else</span>
<a name="line-217"></a>
<a name="line-218"></a><a name="Eval"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Eval</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Done</span> <span class='hs-varid'>a</span>
<a name="line-219"></a>
<a name="line-220"></a><span class='hs-comment'>-- | Pull the result out of the monad.</span>
<a name="line-221"></a><span class='hs-definition'>runEval</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Eval</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-222"></a><span class='hs-definition'>runEval</span> <span class='hs-layout'>(</span><span class='hs-conid'>Done</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span>
<a name="line-223"></a>
<a name="line-224"></a><a name="instance%20Functor%20Eval"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Functor</span> <span class='hs-conid'>Eval</span> <span class='hs-keyword'>where</span>
<a name="line-225"></a>  <span class='hs-varid'>fmap</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>liftM</span>
<a name="line-226"></a>
<a name="line-227"></a><a name="instance%20Applicative%20Eval"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Applicative</span> <span class='hs-conid'>Eval</span> <span class='hs-keyword'>where</span>
<a name="line-228"></a>  <span class='hs-varid'>pure</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Done</span>
<a name="line-229"></a>  <span class='hs-layout'>(</span><span class='hs-varop'>&lt;*&gt;</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ap</span>
<a name="line-230"></a>
<a name="line-231"></a><a name="instance%20Monad%20Eval"></a><span class='hs-keyword'>instance</span> <span class='hs-conid'>Monad</span> <span class='hs-conid'>Eval</span> <span class='hs-keyword'>where</span>
<a name="line-232"></a>  <span class='hs-varid'>return</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>pure</span>
<a name="line-233"></a>  <span class='hs-conid'>Done</span> <span class='hs-varid'>x</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-varid'>k</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>lazy</span> <span class='hs-layout'>(</span><span class='hs-varid'>k</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>   <span class='hs-comment'>-- Note: pattern 'Done x' makes '&gt;&gt;=' strict</span>
<a name="line-234"></a>
<a name="line-235"></a><span class='hs-comment'>{-# RULES "lazy Done" forall x . lazy (Done x) = Done x #-}</span>
<a name="line-236"></a>
<a name="line-237"></a><span class='hs-cpp'>#endif</span>
<a name="line-238"></a>
<a name="line-239"></a>
<a name="line-240"></a><span class='hs-comment'>-- The Eval monad satisfies the monad laws.</span>
<a name="line-241"></a><span class='hs-comment'>--</span>
<a name="line-242"></a><span class='hs-comment'>-- (1) Left identity:</span>
<a name="line-243"></a><span class='hs-comment'>--     return x &gt;&gt;= f ==&gt; Done x &gt;&gt;= f ==&gt; f x</span>
<a name="line-244"></a><span class='hs-comment'>--</span>
<a name="line-245"></a><span class='hs-comment'>-- (2) Right identity:</span>
<a name="line-246"></a><span class='hs-comment'>--     (i)  m &gt;&gt;= return =*&gt; Done u &gt;&gt;= return</span>
<a name="line-247"></a><span class='hs-comment'>--                       ==&gt; return u</span>
<a name="line-248"></a><span class='hs-comment'>--                       ==&gt; Done u &lt;*= m</span>
<a name="line-249"></a><span class='hs-comment'>--     (ii) m &gt;&gt;= return =*&gt; undefined &gt;&gt;= return</span>
<a name="line-250"></a><span class='hs-comment'>--                       ==&gt; undefined &lt;*= m</span>
<a name="line-251"></a><span class='hs-comment'>--</span>
<a name="line-252"></a><span class='hs-comment'>-- (3) Associativity:</span>
<a name="line-253"></a><span class='hs-comment'>--     (i)  (m &gt;&gt;= f) &gt;&gt;= g =*&gt; (Done u &gt;&gt;= f) &gt;&gt;= g</span>
<a name="line-254"></a><span class='hs-comment'>--                          ==&gt; f u &gt;&gt;= g &lt;== (\x -&gt; f x &gt;&gt;= g) u</span>
<a name="line-255"></a><span class='hs-comment'>--                                        &lt;== Done u &gt;&gt;= (\x -&gt; f x &gt;&gt;= g)</span>
<a name="line-256"></a><span class='hs-comment'>--                                        &lt;*= m &gt;&gt;= (\x -&gt; f x &gt;&gt;= g)</span>
<a name="line-257"></a><span class='hs-comment'>--     (ii) (m &gt;&gt;= f) &gt;&gt;= g =*&gt; (undefined &gt;&gt;= f) &gt;&gt;= g</span>
<a name="line-258"></a><span class='hs-comment'>--                          ==&gt; undefined &gt;&gt;= g</span>
<a name="line-259"></a><span class='hs-comment'>--                          ==&gt; undefined &lt;== undefined &gt;&gt;= (\x -&gt; f x &gt;&gt;= g)</span>
<a name="line-260"></a><span class='hs-comment'>--                                        &lt;*= m &gt;&gt;= (\x -&gt; f x &gt;&gt;= g)</span>
<a name="line-261"></a>
<a name="line-262"></a>
<a name="line-263"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-264"></a><span class='hs-comment'>-- Strategies</span>
<a name="line-265"></a>
<a name="line-266"></a><a name="Strategy"></a><span class='hs-comment'>-- | A 'Strategy' is a function that embodies a parallel evaluation strategy.</span>
<a name="line-267"></a><a name="Strategy"></a><span class='hs-comment'>-- The function traverses (parts of) its argument, evaluating subexpressions</span>
<a name="line-268"></a><a name="Strategy"></a><span class='hs-comment'>-- in parallel or in sequence.</span>
<a name="line-269"></a><a name="Strategy"></a><span class='hs-comment'>--</span>
<a name="line-270"></a><a name="Strategy"></a><span class='hs-comment'>-- A 'Strategy' may do an arbitrary amount of evaluation of its</span>
<a name="line-271"></a><a name="Strategy"></a><span class='hs-comment'>-- argument, but should not return a value different from the one it</span>
<a name="line-272"></a><a name="Strategy"></a><span class='hs-comment'>-- was passed.</span>
<a name="line-273"></a><a name="Strategy"></a><span class='hs-comment'>--</span>
<a name="line-274"></a><a name="Strategy"></a><span class='hs-comment'>-- Parallel computations may be discarded by the runtime system if the</span>
<a name="line-275"></a><a name="Strategy"></a><span class='hs-comment'>-- program no longer requires their result, which is why a 'Strategy'</span>
<a name="line-276"></a><a name="Strategy"></a><span class='hs-comment'>-- function returns a new value equivalent to the old value.  The</span>
<a name="line-277"></a><a name="Strategy"></a><span class='hs-comment'>-- intention is that the program applies the 'Strategy' to a</span>
<a name="line-278"></a><a name="Strategy"></a><span class='hs-comment'>-- structure, and then uses the returned value, discarding the old</span>
<a name="line-279"></a><a name="Strategy"></a><span class='hs-comment'>-- value.  This idiom is expressed by the 'using' function.</span>
<a name="line-280"></a><a name="Strategy"></a><span class='hs-comment'>--</span>
<a name="line-281"></a><a name="Strategy"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Eval</span> <span class='hs-varid'>a</span>
<a name="line-282"></a>
<a name="line-283"></a><a name="using"></a><span class='hs-comment'>-- | Evaluate a value using the given 'Strategy'.</span>
<a name="line-284"></a><span class='hs-comment'>--</span>
<a name="line-285"></a><span class='hs-comment'>-- &gt; x `using` s = runEval (s x)</span>
<a name="line-286"></a><span class='hs-comment'>--</span>
<a name="line-287"></a><span class='hs-definition'>using</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-288"></a><a name="using"></a><span class='hs-definition'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runEval</span> <span class='hs-layout'>(</span><span class='hs-varid'>strat</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-289"></a>
<a name="line-290"></a><a name="withStrategy"></a><span class='hs-comment'>-- | evaluate a value using the given 'Strategy'.  This is simply</span>
<a name="line-291"></a><span class='hs-comment'>-- 'using' with the arguments reversed.</span>
<a name="line-292"></a><span class='hs-comment'>--</span>
<a name="line-293"></a><span class='hs-definition'>withStrategy</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-294"></a><span class='hs-definition'>withStrategy</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>using</span>
<a name="line-295"></a>
<a name="line-296"></a><a name="dot"></a><span class='hs-comment'>-- | Compose two strategies sequentially.</span>
<a name="line-297"></a><span class='hs-comment'>-- This is the analogue to function composition on strategies.</span>
<a name="line-298"></a><span class='hs-comment'>--</span>
<a name="line-299"></a><span class='hs-comment'>-- &gt; strat2 `dot` strat1 == strat2 . withStrategy strat1</span>
<a name="line-300"></a><span class='hs-comment'>--</span>
<a name="line-301"></a><span class='hs-definition'>dot</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-302"></a><a name="dot"></a><span class='hs-definition'>strat2</span> <span class='hs-varop'>`dot`</span> <span class='hs-varid'>strat1</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>strat2</span> <span class='hs-varop'>.</span> <span class='hs-varid'>runEval</span> <span class='hs-varop'>.</span> <span class='hs-varid'>strat1</span>
<a name="line-303"></a>
<a name="line-304"></a><span class='hs-comment'>-- Proof of strat2 `dot` strat1 == strat2 . withStrategy strat1</span>
<a name="line-305"></a><span class='hs-comment'>--</span>
<a name="line-306"></a><span class='hs-comment'>--    strat2 . withStrategy strat1</span>
<a name="line-307"></a><span class='hs-comment'>-- == \x -&gt; strat2 (withStrategy strat1 x)</span>
<a name="line-308"></a><span class='hs-comment'>-- == \x -&gt; strat2 (x `using` strat1)</span>
<a name="line-309"></a><span class='hs-comment'>-- == \x -&gt; strat2 (runEval (strat1 x))</span>
<a name="line-310"></a><span class='hs-comment'>-- == \x -&gt; (strat2 . runEval . strat1) x</span>
<a name="line-311"></a><span class='hs-comment'>-- == strat2 `dot` strat1</span>
<a name="line-312"></a>
<a name="line-313"></a><span class='hs-comment'>-- One might be tempted to think that 'dot' is equivalent to '(&lt;=&lt;)',</span>
<a name="line-314"></a><span class='hs-comment'>-- the right-to-left Kleisli composition in the Eval monad, because</span>
<a name="line-315"></a><span class='hs-comment'>-- '(&lt;=&lt;)' can take the type @Strategy a -&gt; Strategy a -&gt; Strategy a@</span>
<a name="line-316"></a><span class='hs-comment'>-- and intuitively does what 'dot' does: First apply the strategy to the</span>
<a name="line-317"></a><span class='hs-comment'>-- right then the one to the left. However, there is a subtle difference</span>
<a name="line-318"></a><span class='hs-comment'>-- in strictness, witnessed by the following example:</span>
<a name="line-319"></a><span class='hs-comment'>--</span>
<a name="line-320"></a><span class='hs-comment'>-- &gt; (r0 `dot` rseq) undefined == Done undefined</span>
<a name="line-321"></a><span class='hs-comment'>-- &gt; (r0 &lt;=&lt; rseq) undefined == undefined</span>
<a name="line-322"></a><span class='hs-comment'>--</span>
<a name="line-323"></a>
<a name="line-324"></a><a name="evalSeq"></a><span class='hs-comment'>-- | Inject a sequential strategy (ie. coerce a sequential strategy</span>
<a name="line-325"></a><span class='hs-comment'>-- to a general strategy).</span>
<a name="line-326"></a><span class='hs-comment'>--</span>
<a name="line-327"></a><span class='hs-comment'>-- Thanks to 'evalSeq', the type @Control.Seq.Strategy a@ is a subtype</span>
<a name="line-328"></a><span class='hs-comment'>-- of @'Strategy' a@.</span>
<a name="line-329"></a><span class='hs-definition'>evalSeq</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>SeqStrategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-330"></a><span class='hs-definition'>evalSeq</span> <span class='hs-varid'>strat</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>strat</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`pseq`</span> <span class='hs-varid'>return</span> <span class='hs-varid'>x</span>
<a name="line-331"></a>
<a name="line-332"></a><a name="SeqStrategy"></a><span class='hs-comment'>-- | A name for @Control.Seq.Strategy@, for documentation only.</span>
<a name="line-333"></a><a name="SeqStrategy"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>SeqStrategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Control</span><span class='hs-varop'>.</span><span class='hs-conid'>Seq</span><span class='hs-varop'>.</span><span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-334"></a>
<a name="line-335"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-336"></a><span class='hs-comment'>-- Basic strategies (some imported from SeqStrategies)</span>
<a name="line-337"></a>
<a name="line-338"></a><a name="r0"></a><span class='hs-comment'>-- | 'r0' performs *no* evaluation.</span>
<a name="line-339"></a><span class='hs-comment'>--</span>
<a name="line-340"></a><span class='hs-comment'>-- &gt; r0 == evalSeq Control.Seq.r0</span>
<a name="line-341"></a><span class='hs-comment'>--</span>
<a name="line-342"></a><span class='hs-definition'>r0</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-343"></a><span class='hs-definition'>r0</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-varid'>x</span>
<a name="line-344"></a>
<a name="line-345"></a><span class='hs-comment'>-- Proof of r0 == evalSeq Control.Seq.r0</span>
<a name="line-346"></a><span class='hs-comment'>--</span>
<a name="line-347"></a><span class='hs-comment'>--    evalSeq Control.Seq.r0</span>
<a name="line-348"></a><span class='hs-comment'>-- == \x -&gt; Control.Seq.r0 x `pseq` return x</span>
<a name="line-349"></a><span class='hs-comment'>-- == \x -&gt; Control.Seq.Done `pseq` return x</span>
<a name="line-350"></a><span class='hs-comment'>-- == \x -&gt; return x</span>
<a name="line-351"></a><span class='hs-comment'>-- == r0</span>
<a name="line-352"></a>
<a name="line-353"></a><a name="rseq"></a><span class='hs-comment'>-- | 'rseq' evaluates its argument to weak head normal form.</span>
<a name="line-354"></a><span class='hs-comment'>--</span>
<a name="line-355"></a><span class='hs-comment'>-- &gt; rseq == evalSeq Control.Seq.rseq</span>
<a name="line-356"></a><span class='hs-comment'>--</span>
<a name="line-357"></a><span class='hs-definition'>rseq</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-358"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &gt;= 702</span>
<a name="line-359"></a><span class='hs-definition'>rseq</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Eval</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>seq</span><span class='hs-cpp'>#</span> <span class='hs-varid'>x</span> <span class='hs-varid'>s</span>
<a name="line-360"></a><span class='hs-cpp'>#else</span>
<a name="line-361"></a><span class='hs-definition'>rseq</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`seq`</span> <span class='hs-varid'>return</span> <span class='hs-varid'>x</span>
<a name="line-362"></a><span class='hs-cpp'>#endif</span>
<a name="line-363"></a>
<a name="line-364"></a><span class='hs-comment'>-- Proof of rseq == evalSeq Control.Seq.rseq</span>
<a name="line-365"></a><span class='hs-comment'>--</span>
<a name="line-366"></a><span class='hs-comment'>--    evalSeq Control.Seq.rseq</span>
<a name="line-367"></a><span class='hs-comment'>-- == \x -&gt; Control.Seq.rseq x `pseq` return x</span>
<a name="line-368"></a><span class='hs-comment'>-- == \x -&gt; (x `seq` Control.Seq.Done) `pseq` return x</span>
<a name="line-369"></a><span class='hs-comment'>-- == \x -&gt; x `pseq` return x</span>
<a name="line-370"></a><span class='hs-comment'>-- == rseq</span>
<a name="line-371"></a>
<a name="line-372"></a><a name="rdeepseq"></a><span class='hs-comment'>-- | 'rdeepseq' fully evaluates its argument.</span>
<a name="line-373"></a><span class='hs-comment'>--</span>
<a name="line-374"></a><span class='hs-comment'>-- &gt; rdeepseq == evalSeq Control.Seq.rdeepseq</span>
<a name="line-375"></a><span class='hs-comment'>--</span>
<a name="line-376"></a><span class='hs-definition'>rdeepseq</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>NFData</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-377"></a><span class='hs-definition'>rdeepseq</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>rseq</span> <span class='hs-layout'>(</span><span class='hs-varid'>rnf</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span><span class='hs-layout'>;</span> <span class='hs-varid'>return</span> <span class='hs-varid'>x</span>
<a name="line-378"></a>
<a name="line-379"></a><span class='hs-comment'>-- Proof of rdeepseq == evalSeq Control.Seq.rdeepseq</span>
<a name="line-380"></a><span class='hs-comment'>--</span>
<a name="line-381"></a><span class='hs-comment'>--    evalSeq Control.Seq.rdeepseq</span>
<a name="line-382"></a><span class='hs-comment'>-- == \x -&gt; Control.Seq.rdeepseq x `pseq` return x</span>
<a name="line-383"></a><span class='hs-comment'>-- == \x -&gt; (x `deepseq` Control.Seq.Done) `pseq` return x</span>
<a name="line-384"></a><span class='hs-comment'>-- == \x -&gt; (rnf x `seq` Control.Seq.Done) `pseq` return x</span>
<a name="line-385"></a><span class='hs-comment'>-- == \x -&gt; rnf x `pseq` return x</span>
<a name="line-386"></a><span class='hs-comment'>-- == rdeepseq</span>
<a name="line-387"></a>
<a name="line-388"></a><a name="rpar"></a><span class='hs-comment'>-- | 'rpar' sparks its argument (for evaluation in parallel).</span>
<a name="line-389"></a><span class='hs-definition'>rpar</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-390"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &gt;= 702</span>
<a name="line-391"></a><span class='hs-definition'>rpar</span>  <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Eval</span> <span class='hs-varop'>$</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>s</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>spark</span><span class='hs-cpp'>#</span> <span class='hs-varid'>x</span> <span class='hs-varid'>s</span>
<a name="line-392"></a><span class='hs-cpp'>#else</span>
<a name="line-393"></a><span class='hs-definition'>rpar</span>  <span class='hs-varid'>x</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-layout'>(</span><span class='hs-varid'>par</span><span class='hs-cpp'>#</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span> <span class='hs-keyword'>of</span> <span class='hs-layout'>{</span> <span class='hs-keyword'>_</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span> <span class='hs-varid'>x</span> <span class='hs-layout'>}</span>
<a name="line-394"></a><span class='hs-cpp'>#endif</span>
<a name="line-395"></a><span class='hs-comment'>{-# INLINE rpar  #-}</span>
<a name="line-396"></a>
<a name="line-397"></a><a name="rparWith"></a><span class='hs-comment'>-- | instead of saying @rpar `dot` strat@, you can say</span>
<a name="line-398"></a><span class='hs-comment'>-- @rparWith strat@.  Compared to 'rpar', 'rparWith'</span>
<a name="line-399"></a><span class='hs-comment'>--</span>
<a name="line-400"></a><span class='hs-comment'>--  * does not exit the `Eval` monad</span>
<a name="line-401"></a><span class='hs-comment'>--</span>
<a name="line-402"></a><span class='hs-comment'>--  * does not have a built-in `rseq`, so for example `rparWith r0`</span>
<a name="line-403"></a><span class='hs-comment'>--    behaves as you might expect (it is a strategy that creates a</span>
<a name="line-404"></a><span class='hs-comment'>--    spark that does no evaluation).</span>
<a name="line-405"></a><span class='hs-comment'>--</span>
<a name="line-406"></a><span class='hs-comment'>--</span>
<a name="line-407"></a><span class='hs-definition'>rparWith</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-408"></a><span class='hs-cpp'>#if __GLASGOW_HASKELL__ &gt;= 702</span>
<a name="line-409"></a><span class='hs-definition'>rparWith</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>rpar</span> <span class='hs-varid'>r</span><span class='hs-layout'>;</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-410"></a>  <span class='hs-keyword'>where</span> <span class='hs-varid'>r</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyword'>of</span>
<a name="line-411"></a>              <span class='hs-conid'>Eval</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>case</span> <span class='hs-varid'>f</span> <span class='hs-varid'>realWorld</span><span class='hs-cpp'>#</span> <span class='hs-keyword'>of</span>
<a name="line-412"></a>                          <span class='hs-layout'>(</span><span class='hs-cpp'>#</span> <span class='hs-keyword'>_</span><span class='hs-layout'>,</span> <span class='hs-varid'>a'</span> <span class='hs-cpp'>#</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>a'</span>
<a name="line-413"></a>
<a name="line-414"></a><a name="Lift"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Lift</span> <span class='hs-varid'>a</span>
<a name="line-415"></a><span class='hs-cpp'>#else</span>
<a name="line-416"></a><span class='hs-definition'>rparWith</span> <span class='hs-varid'>s</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>do</span> <span class='hs-varid'>l</span> <span class='hs-keyglyph'>&lt;-</span> <span class='hs-varid'>rpar</span> <span class='hs-layout'>(</span><span class='hs-varid'>s</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span><span class='hs-layout'>;</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-keyword'>case</span> <span class='hs-varid'>l</span> <span class='hs-keyword'>of</span> <span class='hs-conid'>Done</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>x</span><span class='hs-layout'>)</span>
<a name="line-417"></a><span class='hs-cpp'>#endif</span>
<a name="line-418"></a>
<a name="line-419"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-420"></a><span class='hs-comment'>-- Strategy combinators for Traversable data types</span>
<a name="line-421"></a>
<a name="line-422"></a><a name="evalTraversable"></a><span class='hs-comment'>-- | Evaluate the elements of a traversable data structure</span>
<a name="line-423"></a><span class='hs-comment'>-- according to the given strategy.</span>
<a name="line-424"></a><span class='hs-definition'>evalTraversable</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-425"></a><span class='hs-definition'>evalTraversable</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>traverse</span>
<a name="line-426"></a><span class='hs-comment'>{-# INLINE evalTraversable #-}</span>
<a name="line-427"></a>
<a name="line-428"></a><a name="parTraversable"></a><span class='hs-comment'>-- | Like 'evalTraversable' but evaluates all elements in parallel.</span>
<a name="line-429"></a><span class='hs-definition'>parTraversable</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-430"></a><span class='hs-definition'>parTraversable</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalTraversable</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span>
<a name="line-431"></a><span class='hs-comment'>{-# INLINE parTraversable #-}</span>
<a name="line-432"></a>
<a name="line-433"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-434"></a><span class='hs-comment'>-- Strategies for lists</span>
<a name="line-435"></a>
<a name="line-436"></a><a name="evalList"></a><span class='hs-comment'>-- | Evaluate each element of a list according to the given strategy.</span>
<a name="line-437"></a><span class='hs-comment'>--  Equivalent to 'evalTraversable' at the list type.</span>
<a name="line-438"></a><span class='hs-definition'>evalList</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-439"></a><span class='hs-definition'>evalList</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalTraversable</span>
<a name="line-440"></a><span class='hs-comment'>-- Alternative explicitly recursive definition:</span>
<a name="line-441"></a><span class='hs-comment'>-- evalList strat []     = return []</span>
<a name="line-442"></a><span class='hs-comment'>-- evalList strat (x:xs) = strat x &gt;&gt;= \x' -&gt;</span>
<a name="line-443"></a><span class='hs-comment'>--                         evalList strat xs &gt;&gt;= \xs' -&gt;</span>
<a name="line-444"></a><span class='hs-comment'>--                         return (x':xs')</span>
<a name="line-445"></a>
<a name="line-446"></a><a name="parList"></a><span class='hs-comment'>-- | Evaluate each element of a list in parallel according to given strategy.</span>
<a name="line-447"></a><span class='hs-comment'>--  Equivalent to 'parTraversable' at the list type.</span>
<a name="line-448"></a><span class='hs-definition'>parList</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-449"></a><span class='hs-definition'>parList</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parTraversable</span>
<a name="line-450"></a><span class='hs-comment'>-- Alternative definition via evalList:</span>
<a name="line-451"></a><span class='hs-comment'>-- parList strat = evalList (rparWith strat)</span>
<a name="line-452"></a>
<a name="line-453"></a><a name="evalListSplitAt"></a><span class='hs-comment'>-- | @'evaListSplitAt' n stratPref stratSuff@ evaluates the prefix</span>
<a name="line-454"></a><span class='hs-comment'>-- (of length @n@) of a list according to @stratPref@ and its the suffix</span>
<a name="line-455"></a><span class='hs-comment'>-- according to @stratSuff@.</span>
<a name="line-456"></a><span class='hs-definition'>evalListSplitAt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-457"></a><span class='hs-definition'>evalListSplitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>stratPref</span> <span class='hs-varid'>stratSuff</span> <span class='hs-varid'>xs</span>
<a name="line-458"></a>  <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>let</span> <span class='hs-layout'>(</span><span class='hs-varid'>ys</span><span class='hs-layout'>,</span><span class='hs-varid'>zs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>splitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span> <span class='hs-keyword'>in</span>
<a name="line-459"></a>    <span class='hs-varid'>stratPref</span> <span class='hs-varid'>ys</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>ys'</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-460"></a>    <span class='hs-varid'>stratSuff</span> <span class='hs-varid'>zs</span> <span class='hs-varop'>&gt;&gt;=</span> <span class='hs-keyglyph'>\</span><span class='hs-varid'>zs'</span> <span class='hs-keyglyph'>-&gt;</span>
<a name="line-461"></a>    <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>ys'</span> <span class='hs-varop'>++</span> <span class='hs-varid'>zs'</span><span class='hs-layout'>)</span>
<a name="line-462"></a>
<a name="line-463"></a><a name="parListSplitAt"></a><span class='hs-comment'>-- | Like 'evalListSplitAt' but evaluates both sublists in parallel.</span>
<a name="line-464"></a><span class='hs-definition'>parListSplitAt</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-465"></a><span class='hs-definition'>parListSplitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>stratPref</span> <span class='hs-varid'>stratSuff</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalListSplitAt</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>stratPref</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>stratSuff</span><span class='hs-layout'>)</span>
<a name="line-466"></a>
<a name="line-467"></a><a name="evalListN"></a><span class='hs-comment'>-- | Evaluate the first n elements of a list according to the given strategy.</span>
<a name="line-468"></a><span class='hs-definition'>evalListN</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-469"></a><span class='hs-definition'>evalListN</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalListSplitAt</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>evalList</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span> <span class='hs-varid'>r0</span>
<a name="line-470"></a>
<a name="line-471"></a><a name="parListN"></a><span class='hs-comment'>-- | Like 'evalListN' but evaluates the first n elements in parallel.</span>
<a name="line-472"></a><span class='hs-definition'>parListN</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-473"></a><span class='hs-definition'>parListN</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalListN</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span>
<a name="line-474"></a>
<a name="line-475"></a><a name="evalListNth"></a><span class='hs-comment'>-- | Evaluate the nth element of a list (if there is such) according to</span>
<a name="line-476"></a><span class='hs-comment'>-- the given strategy.</span>
<a name="line-477"></a><span class='hs-comment'>-- This nth is 0-based. For example, @[1, 2, 3, 4, 5] `using` evalListNth 4 rseq@</span>
<a name="line-478"></a><span class='hs-comment'>-- will eval @5@, not @4@.</span>
<a name="line-479"></a><span class='hs-comment'>-- The spine of the list up to the nth element is evaluated as a side effect.</span>
<a name="line-480"></a><span class='hs-definition'>evalListNth</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-481"></a><span class='hs-definition'>evalListNth</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalListSplitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>r0</span> <span class='hs-layout'>(</span><span class='hs-varid'>evalListN</span> <span class='hs-num'>1</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span>
<a name="line-482"></a>
<a name="line-483"></a><a name="parListNth"></a><span class='hs-comment'>-- | Like 'evalListN' but evaluates the nth element in parallel.</span>
<a name="line-484"></a><span class='hs-definition'>parListNth</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-485"></a><span class='hs-definition'>parListNth</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalListNth</span> <span class='hs-varid'>n</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span>
<a name="line-486"></a>
<a name="line-487"></a><a name="parListChunk"></a><span class='hs-comment'>-- | Divides a list into chunks, and applies the strategy</span>
<a name="line-488"></a><span class='hs-comment'>-- @'evalList' strat@ to each chunk in parallel.</span>
<a name="line-489"></a><span class='hs-comment'>--</span>
<a name="line-490"></a><span class='hs-comment'>-- It is expected that this function will be replaced by a more</span>
<a name="line-491"></a><span class='hs-comment'>-- generic clustering infrastructure in the future.</span>
<a name="line-492"></a><span class='hs-comment'>--</span>
<a name="line-493"></a><span class='hs-comment'>-- If the chunk size is 1 or less, 'parListChunk' is equivalent to</span>
<a name="line-494"></a><span class='hs-comment'>-- 'parList'</span>
<a name="line-495"></a><span class='hs-comment'>--</span>
<a name="line-496"></a><span class='hs-definition'>parListChunk</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-497"></a><span class='hs-definition'>parListChunk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-varid'>xs</span>
<a name="line-498"></a>  <span class='hs-keyglyph'>|</span> <span class='hs-varid'>n</span> <span class='hs-varop'>&lt;=</span> <span class='hs-num'>1</span>    <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parList</span> <span class='hs-varid'>strat</span> <span class='hs-varid'>xs</span>
<a name="line-499"></a>  <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>concat</span> <span class='hs-varop'>`fmap`</span> <span class='hs-varid'>parList</span> <span class='hs-layout'>(</span><span class='hs-varid'>evalList</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>chunk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span><span class='hs-layout'>)</span>
<a name="line-500"></a>
<a name="line-501"></a><a name="chunk"></a><span class='hs-definition'>chunk</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</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-502"></a><span class='hs-definition'>chunk</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-503"></a><span class='hs-definition'>chunk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyword'>as</span> <span class='hs-conop'>:</span> <span class='hs-varid'>chunk</span> <span class='hs-varid'>n</span> <span class='hs-varid'>bs</span> <span class='hs-keyword'>where</span> <span class='hs-layout'>(</span><span class='hs-keyword'>as</span><span class='hs-layout'>,</span><span class='hs-varid'>bs</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>splitAt</span> <span class='hs-varid'>n</span> <span class='hs-varid'>xs</span>
<a name="line-504"></a>
<a name="line-505"></a><span class='hs-comment'>-- Non-compositional version of 'parList', evaluating list elements</span>
<a name="line-506"></a><span class='hs-comment'>-- to weak head normal form.</span>
<a name="line-507"></a><span class='hs-comment'>-- Not to be exported; used for optimisation.</span>
<a name="line-508"></a>
<a name="line-509"></a><a name="parListWHNF"></a><span class='hs-comment'>-- | DEPRECATED: use @'parList' 'rseq'@ instead</span>
<a name="line-510"></a><span class='hs-definition'>parListWHNF</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-511"></a><span class='hs-definition'>parListWHNF</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>go</span> <span class='hs-varid'>xs</span> <span class='hs-varop'>`pseq`</span> <span class='hs-varid'>return</span> <span class='hs-varid'>xs</span>
<a name="line-512"></a>  <span class='hs-keyword'>where</span> <span class='hs-comment'>-- go :: [a] -&gt; [a]</span>
<a name="line-513"></a>           <span class='hs-varid'>go</span> <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-514"></a>           <span class='hs-varid'>go</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span> <span class='hs-varop'>`par`</span> <span class='hs-varid'>go</span> <span class='hs-varid'>ys</span>
<a name="line-515"></a>
<a name="line-516"></a><span class='hs-comment'>-- The non-compositional 'parListWHNF' might be more efficient than its</span>
<a name="line-517"></a><span class='hs-comment'>-- more compositional counterpart; use RULES to do the specialisation.</span>
<a name="line-518"></a>
<a name="line-519"></a><span class='hs-comment'>{-# NOINLINE [1] parList #-}</span>
<a name="line-520"></a><span class='hs-comment'>{-# NOINLINE [1] rseq #-}</span>
<a name="line-521"></a><span class='hs-comment'>{-# RULES
<a name="line-522"></a> "parList/rseq" parList rseq = parListWHNF
<a name="line-523"></a> #-}</span>
<a name="line-524"></a>
<a name="line-525"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-526"></a><span class='hs-comment'>-- Convenience</span>
<a name="line-527"></a>
<a name="line-528"></a><a name="parMap"></a><span class='hs-comment'>-- | A combination of 'parList' and 'map', encapsulating a common pattern:</span>
<a name="line-529"></a><span class='hs-comment'>--</span>
<a name="line-530"></a><span class='hs-comment'>-- &gt; parMap strat f = withStrategy (parList strat) . map f</span>
<a name="line-531"></a><span class='hs-comment'>--</span>
<a name="line-532"></a><span class='hs-definition'>parMap</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>b</span><span class='hs-keyglyph'>]</span>
<a name="line-533"></a><span class='hs-definition'>parMap</span> <span class='hs-varid'>strat</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>=</span> <span class='hs-layout'>(</span><span class='hs-varop'>`using`</span> <span class='hs-varid'>parList</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-varid'>f</span>
<a name="line-534"></a>
<a name="line-535"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-536"></a><span class='hs-comment'>-- Strategies for lazy lists</span>
<a name="line-537"></a>
<a name="line-538"></a><a name="evalBufferWHNF"></a><span class='hs-comment'>-- List-based non-compositional rolling buffer strategy, evaluating list</span>
<a name="line-539"></a><span class='hs-comment'>-- elements to weak head normal form.</span>
<a name="line-540"></a><span class='hs-comment'>-- Not to be exported; used in evalBuffer and for optimisation.</span>
<a name="line-541"></a><span class='hs-definition'>evalBufferWHNF</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-542"></a><span class='hs-definition'>evalBufferWHNF</span> <span class='hs-varid'>n0</span> <span class='hs-varid'>xs0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>ret</span> <span class='hs-varid'>xs0</span> <span class='hs-layout'>(</span><span class='hs-varid'>start</span> <span class='hs-varid'>n0</span> <span class='hs-varid'>xs0</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-543"></a>  <span class='hs-keyword'>where</span> <span class='hs-comment'>-- ret :: [a] -&gt; [a] -&gt; [a]</span>
<a name="line-544"></a>           <span class='hs-varid'>ret</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-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span> <span class='hs-varop'>`pseq`</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ret</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span>
<a name="line-545"></a>           <span class='hs-varid'>ret</span> <span class='hs-varid'>xs</span>     <span class='hs-keyword'>_</span>      <span class='hs-keyglyph'>=</span> <span class='hs-varid'>xs</span>
<a name="line-546"></a>
<a name="line-547"></a>        <span class='hs-comment'>-- start :: Int -&gt; [a] -&gt; [a]</span>
<a name="line-548"></a>           <span class='hs-varid'>start</span> <span class='hs-num'>0</span>   <span class='hs-varid'>ys</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ys</span>
<a name="line-549"></a>           <span class='hs-varid'>start</span> <span class='hs-varop'>!</span><span class='hs-sel'>_n</span> <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-550"></a>           <span class='hs-varid'>start</span> <span class='hs-varop'>!</span><span class='hs-varid'>n</span>  <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span> <span class='hs-varop'>`pseq`</span> <span class='hs-varid'>start</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>ys</span>
<a name="line-551"></a>
<a name="line-552"></a><a name="evalBuffer"></a><span class='hs-comment'>-- | 'evalBuffer' is a rolling buffer strategy combinator for (lazy) lists.</span>
<a name="line-553"></a><span class='hs-comment'>--</span>
<a name="line-554"></a><span class='hs-comment'>-- 'evalBuffer' is not as compositional as the type suggests. In fact,</span>
<a name="line-555"></a><span class='hs-comment'>-- it evaluates list elements at least to weak head normal form,</span>
<a name="line-556"></a><span class='hs-comment'>-- disregarding a strategy argument 'r0'.</span>
<a name="line-557"></a><span class='hs-comment'>--</span>
<a name="line-558"></a><span class='hs-comment'>-- &gt; evalBuffer n r0 == evalBuffer n rseq</span>
<a name="line-559"></a><span class='hs-comment'>--</span>
<a name="line-560"></a><span class='hs-definition'>evalBuffer</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-561"></a><span class='hs-definition'>evalBuffer</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span>  <span class='hs-varid'>evalBufferWHNF</span> <span class='hs-varid'>n</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>withStrategy</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span>
<a name="line-562"></a>
<a name="line-563"></a><a name="parBufferWHNF"></a><span class='hs-comment'>-- Like evalBufferWHNF but sparks the list elements when pushing them</span>
<a name="line-564"></a><span class='hs-comment'>-- into the buffer.</span>
<a name="line-565"></a><span class='hs-comment'>-- Not to be exported; used in parBuffer and for optimisation.</span>
<a name="line-566"></a><span class='hs-definition'>parBufferWHNF</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-567"></a><span class='hs-definition'>parBufferWHNF</span> <span class='hs-varid'>n0</span> <span class='hs-varid'>xs0</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>return</span> <span class='hs-layout'>(</span><span class='hs-varid'>ret</span> <span class='hs-varid'>xs0</span> <span class='hs-layout'>(</span><span class='hs-varid'>start</span> <span class='hs-varid'>n0</span> <span class='hs-varid'>xs0</span><span class='hs-layout'>)</span><span class='hs-layout'>)</span>
<a name="line-568"></a>  <span class='hs-keyword'>where</span> <span class='hs-comment'>-- ret :: [a] -&gt; [a] -&gt; [a]</span>
<a name="line-569"></a>           <span class='hs-varid'>ret</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-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span> <span class='hs-varop'>`par`</span> <span class='hs-layout'>(</span><span class='hs-varid'>x</span> <span class='hs-conop'>:</span> <span class='hs-varid'>ret</span> <span class='hs-varid'>xs</span> <span class='hs-varid'>ys</span><span class='hs-layout'>)</span>
<a name="line-570"></a>           <span class='hs-varid'>ret</span> <span class='hs-varid'>xs</span>     <span class='hs-keyword'>_</span>      <span class='hs-keyglyph'>=</span> <span class='hs-varid'>xs</span>
<a name="line-571"></a>
<a name="line-572"></a>        <span class='hs-comment'>-- start :: Int -&gt; [a] -&gt; [a]</span>
<a name="line-573"></a>           <span class='hs-varid'>start</span> <span class='hs-num'>0</span>   <span class='hs-varid'>ys</span>     <span class='hs-keyglyph'>=</span> <span class='hs-varid'>ys</span>
<a name="line-574"></a>           <span class='hs-varid'>start</span> <span class='hs-varop'>!</span><span class='hs-sel'>_n</span> <span class='hs-conid'>[]</span>     <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span>
<a name="line-575"></a>           <span class='hs-varid'>start</span> <span class='hs-varop'>!</span><span class='hs-varid'>n</span>  <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>y</span> <span class='hs-varop'>`par`</span> <span class='hs-varid'>start</span> <span class='hs-layout'>(</span><span class='hs-varid'>n</span><span class='hs-comment'>-</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>ys</span>
<a name="line-576"></a>
<a name="line-577"></a>
<a name="line-578"></a><a name="parBuffer"></a><span class='hs-comment'>-- | Like 'evalBuffer' but evaluates the list elements in parallel when</span>
<a name="line-579"></a><span class='hs-comment'>-- pushing them into the buffer.</span>
<a name="line-580"></a><span class='hs-definition'>parBuffer</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-581"></a><span class='hs-definition'>parBuffer</span> <span class='hs-varid'>n</span> <span class='hs-varid'>strat</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parBufferWHNF</span> <span class='hs-varid'>n</span> <span class='hs-varop'>.</span> <span class='hs-varid'>map</span> <span class='hs-layout'>(</span><span class='hs-varid'>withStrategy</span> <span class='hs-varid'>strat</span><span class='hs-layout'>)</span>
<a name="line-582"></a><span class='hs-comment'>-- Alternative definition via evalBuffer (may compromise firing of RULES):</span>
<a name="line-583"></a><span class='hs-comment'>-- parBuffer n strat = evalBuffer n (rparWith strat)</span>
<a name="line-584"></a>
<a name="line-585"></a><span class='hs-comment'>-- Deforest the intermediate list in parBuffer/evalBuffer when it is</span>
<a name="line-586"></a><span class='hs-comment'>-- unnecessary:</span>
<a name="line-587"></a>
<a name="line-588"></a><span class='hs-comment'>{-# NOINLINE [1] evalBuffer #-}</span>
<a name="line-589"></a><span class='hs-comment'>{-# NOINLINE [1] parBuffer #-}</span>
<a name="line-590"></a><span class='hs-comment'>{-# RULES
<a name="line-591"></a>"evalBuffer/rseq"  forall n . evalBuffer  n rseq = evalBufferWHNF n
<a name="line-592"></a>"parBuffer/rseq"   forall n . parBuffer   n rseq = parBufferWHNF  n
<a name="line-593"></a> #-}</span>
<a name="line-594"></a>
<a name="line-595"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-596"></a><span class='hs-comment'>-- Strategies for tuples</span>
<a name="line-597"></a>
<a name="line-598"></a><a name="evalTuple2"></a><span class='hs-definition'>evalTuple2</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-599"></a><span class='hs-definition'>evalTuple2</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-600"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span>
<a name="line-601"></a>
<a name="line-602"></a><a name="evalTuple3"></a><span class='hs-definition'>evalTuple3</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-603"></a><span class='hs-definition'>evalTuple3</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-604"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span>
<a name="line-605"></a>
<a name="line-606"></a><a name="evalTuple4"></a><span class='hs-definition'>evalTuple4</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-607"></a><span class='hs-definition'>evalTuple4</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>,</span><span class='hs-varid'>x4</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-608"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>x4</span>
<a name="line-609"></a>
<a name="line-610"></a><a name="evalTuple5"></a><span class='hs-definition'>evalTuple5</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-611"></a><span class='hs-definition'>evalTuple5</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>,</span><span class='hs-varid'>x4</span><span class='hs-layout'>,</span><span class='hs-varid'>x5</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-612"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>x4</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>x5</span>
<a name="line-613"></a>
<a name="line-614"></a><a name="evalTuple6"></a><span class='hs-definition'>evalTuple6</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-615"></a><span class='hs-definition'>evalTuple6</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>,</span><span class='hs-varid'>x4</span><span class='hs-layout'>,</span><span class='hs-varid'>x5</span><span class='hs-layout'>,</span><span class='hs-varid'>x6</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-616"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,,,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>x4</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>x5</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>x6</span>
<a name="line-617"></a>
<a name="line-618"></a><a name="evalTuple7"></a><span class='hs-definition'>evalTuple7</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-619"></a><span class='hs-definition'>evalTuple7</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>strat7</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>,</span><span class='hs-varid'>x4</span><span class='hs-layout'>,</span><span class='hs-varid'>x5</span><span class='hs-layout'>,</span><span class='hs-varid'>x6</span><span class='hs-layout'>,</span><span class='hs-varid'>x7</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-620"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,,,,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>x4</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>x5</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>x6</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>x7</span>
<a name="line-621"></a>
<a name="line-622"></a><a name="evalTuple8"></a><span class='hs-definition'>evalTuple8</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>,</span><span class='hs-varid'>h</span><span class='hs-layout'>)</span>
<a name="line-623"></a><span class='hs-definition'>evalTuple8</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>strat8</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>,</span><span class='hs-varid'>x4</span><span class='hs-layout'>,</span><span class='hs-varid'>x5</span><span class='hs-layout'>,</span><span class='hs-varid'>x6</span><span class='hs-layout'>,</span><span class='hs-varid'>x7</span><span class='hs-layout'>,</span><span class='hs-varid'>x8</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-624"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,,,,,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>x4</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>x5</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>x6</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>x7</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat8</span> <span class='hs-varid'>x8</span>
<a name="line-625"></a>
<a name="line-626"></a><a name="evalTuple9"></a><span class='hs-definition'>evalTuple9</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>,</span><span class='hs-varid'>h</span><span class='hs-layout'>,</span><span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-627"></a><span class='hs-definition'>evalTuple9</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>strat8</span> <span class='hs-varid'>strat9</span> <span class='hs-layout'>(</span><span class='hs-varid'>x1</span><span class='hs-layout'>,</span><span class='hs-varid'>x2</span><span class='hs-layout'>,</span><span class='hs-varid'>x3</span><span class='hs-layout'>,</span><span class='hs-varid'>x4</span><span class='hs-layout'>,</span><span class='hs-varid'>x5</span><span class='hs-layout'>,</span><span class='hs-varid'>x6</span><span class='hs-layout'>,</span><span class='hs-varid'>x7</span><span class='hs-layout'>,</span><span class='hs-varid'>x8</span><span class='hs-layout'>,</span><span class='hs-varid'>x9</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span>
<a name="line-628"></a>  <span class='hs-varid'>pure</span> <span class='hs-conid'>(,,,,,,,,)</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>x1</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>x2</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>x3</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>x4</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>x5</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>x6</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>x7</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat8</span> <span class='hs-varid'>x8</span> <span class='hs-varop'>&lt;*&gt;</span> <span class='hs-varid'>strat9</span> <span class='hs-varid'>x9</span>
<a name="line-629"></a>
<a name="line-630"></a><a name="parTuple2"></a><span class='hs-definition'>parTuple2</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-631"></a><span class='hs-definition'>parTuple2</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-keyglyph'>=</span>
<a name="line-632"></a>  <span class='hs-varid'>evalTuple2</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span>
<a name="line-633"></a>
<a name="line-634"></a><a name="parTuple3"></a><span class='hs-definition'>parTuple3</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-635"></a><span class='hs-definition'>parTuple3</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-keyglyph'>=</span>
<a name="line-636"></a>  <span class='hs-varid'>evalTuple3</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span>
<a name="line-637"></a>
<a name="line-638"></a><a name="parTuple4"></a><span class='hs-definition'>parTuple4</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-639"></a><span class='hs-definition'>parTuple4</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-keyglyph'>=</span>
<a name="line-640"></a>  <span class='hs-varid'>evalTuple4</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat4</span><span class='hs-layout'>)</span>
<a name="line-641"></a>
<a name="line-642"></a><a name="parTuple5"></a><span class='hs-definition'>parTuple5</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-643"></a><span class='hs-definition'>parTuple5</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-keyglyph'>=</span>
<a name="line-644"></a>  <span class='hs-varid'>evalTuple5</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat4</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat5</span><span class='hs-layout'>)</span>
<a name="line-645"></a>
<a name="line-646"></a><a name="parTuple6"></a><span class='hs-definition'>parTuple6</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>)</span>
<a name="line-647"></a><span class='hs-definition'>parTuple6</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-keyglyph'>=</span>
<a name="line-648"></a>  <span class='hs-varid'>evalTuple6</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat4</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat5</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat6</span><span class='hs-layout'>)</span>
<a name="line-649"></a>
<a name="line-650"></a><a name="parTuple7"></a><span class='hs-definition'>parTuple7</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>)</span>
<a name="line-651"></a><span class='hs-definition'>parTuple7</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>strat7</span> <span class='hs-keyglyph'>=</span>
<a name="line-652"></a>  <span class='hs-varid'>evalTuple7</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat4</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat5</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat6</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat7</span><span class='hs-layout'>)</span>
<a name="line-653"></a>
<a name="line-654"></a><a name="parTuple8"></a><span class='hs-definition'>parTuple8</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>,</span><span class='hs-varid'>h</span><span class='hs-layout'>)</span>
<a name="line-655"></a><span class='hs-definition'>parTuple8</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>strat8</span> <span class='hs-keyglyph'>=</span>
<a name="line-656"></a>  <span class='hs-varid'>evalTuple8</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat4</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat5</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat6</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat7</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat8</span><span class='hs-layout'>)</span>
<a name="line-657"></a>
<a name="line-658"></a><a name="parTuple9"></a><span class='hs-definition'>parTuple9</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>d</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>e</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>f</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>h</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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><span class='hs-varid'>f</span><span class='hs-layout'>,</span><span class='hs-varid'>g</span><span class='hs-layout'>,</span><span class='hs-varid'>h</span><span class='hs-layout'>,</span><span class='hs-varid'>i</span><span class='hs-layout'>)</span>
<a name="line-659"></a><span class='hs-definition'>parTuple9</span> <span class='hs-varid'>strat1</span> <span class='hs-varid'>strat2</span> <span class='hs-varid'>strat3</span> <span class='hs-varid'>strat4</span> <span class='hs-varid'>strat5</span> <span class='hs-varid'>strat6</span> <span class='hs-varid'>strat7</span> <span class='hs-varid'>strat8</span> <span class='hs-varid'>strat9</span> <span class='hs-keyglyph'>=</span>
<a name="line-660"></a>  <span class='hs-varid'>evalTuple9</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat1</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat2</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat3</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat4</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat5</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat6</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat7</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat8</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-varid'>rparWith</span> <span class='hs-varid'>strat9</span><span class='hs-layout'>)</span>
<a name="line-661"></a>
<a name="line-662"></a><span class='hs-comment'>-- --------------------------------------------------------------------------</span>
<a name="line-663"></a><span class='hs-comment'>-- Strategic function application</span>
<a name="line-664"></a>
<a name="line-665"></a><span class='hs-comment'>{-
<a name="line-666"></a>These are very handy when writing pipeline parallelism asa sequence of
<a name="line-667"></a>@$@, @$|@ and @$||@'s. There is no need of naming intermediate values
<a name="line-668"></a>in this case. The separation of algorithm from strategy is achieved by
<a name="line-669"></a>allowing strategies only as second arguments to @$|@ and @$||@.
<a name="line-670"></a>-}</span>
<a name="line-671"></a>
<a name="line-672"></a><a name="$%7c"></a><span class='hs-comment'>-- | Sequential function application. The argument is evaluated using</span>
<a name="line-673"></a><span class='hs-comment'>--   the given strategy before it is given to the function.</span>
<a name="line-674"></a><span class='hs-layout'>(</span><span class='hs-varop'>$|</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span>
<a name="line-675"></a><a name="f"></a><span class='hs-definition'>f</span> <span class='hs-varop'>$|</span> <span class='hs-varid'>s</span>  <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>z</span> <span class='hs-varop'>`pseq`</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span>
<a name="line-676"></a>
<a name="line-677"></a><a name="$%7c%7c"></a><span class='hs-comment'>-- | Parallel function application. The argument is evaluated using</span>
<a name="line-678"></a><span class='hs-comment'>-- the given strategy, in parallel with the function application.</span>
<a name="line-679"></a><span class='hs-layout'>(</span><span class='hs-varop'>$||</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span>
<a name="line-680"></a><span class='hs-definition'>f</span> <span class='hs-varop'>$||</span> <span class='hs-varid'>s</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span> <span class='hs-varid'>z</span> <span class='hs-varop'>`par`</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span>
<a name="line-681"></a>
<a name="line-682"></a><a name=".%7c"></a><span class='hs-comment'>-- | Sequential function composition. The result of</span>
<a name="line-683"></a><span class='hs-comment'>-- the second function is evaluated using the given strategy,</span>
<a name="line-684"></a><span class='hs-comment'>-- and then given to the first function.</span>
<a name="line-685"></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-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-686"></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'>s</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span>
<a name="line-687"></a>                    <span class='hs-varid'>z</span> <span class='hs-varop'>`pseq`</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span>
<a name="line-688"></a>
<a name="line-689"></a><a name=".%7c%7c"></a><span class='hs-comment'>-- | Parallel function composition. The result of the second</span>
<a name="line-690"></a><span class='hs-comment'>-- function is evaluated using the given strategy,</span>
<a name="line-691"></a><span class='hs-comment'>-- in parallel with the application of the first function.</span>
<a name="line-692"></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-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-693"></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'>s</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>g</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span>
<a name="line-694"></a>                    <span class='hs-varid'>z</span> <span class='hs-varop'>`par`</span> <span class='hs-varid'>f</span> <span class='hs-varid'>z</span>
<a name="line-695"></a>
<a name="line-696"></a><a name="-%7c"></a><span class='hs-comment'>-- | Sequential inverse function composition,</span>
<a name="line-697"></a><span class='hs-comment'>-- for those who read their programs from left to right.</span>
<a name="line-698"></a><span class='hs-comment'>-- The result of the first function is evaluated using the</span>
<a name="line-699"></a><span class='hs-comment'>-- given strategy, and then given to the second function.</span>
<a name="line-700"></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-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-701"></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'>s</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span>
<a name="line-702"></a>                    <span class='hs-varid'>z</span> <span class='hs-varop'>`pseq`</span> <span class='hs-varid'>g</span> <span class='hs-varid'>z</span>
<a name="line-703"></a>
<a name="line-704"></a><a name="-%7c%7c"></a><span class='hs-comment'>-- | Parallel inverse function composition,</span>
<a name="line-705"></a><span class='hs-comment'>-- for those who read their programs from left to right.</span>
<a name="line-706"></a><span class='hs-comment'>-- The result of the first function is evaluated using the</span>
<a name="line-707"></a><span class='hs-comment'>-- given strategy, in parallel with the application of the</span>
<a name="line-708"></a><span class='hs-comment'>-- second function.</span>
<a name="line-709"></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-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>b</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-layout'>(</span><span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>c</span><span class='hs-layout'>)</span>
<a name="line-710"></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'>s</span> <span class='hs-varid'>g</span> <span class='hs-keyglyph'>=</span> <span class='hs-keyglyph'>\</span> <span class='hs-varid'>x</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-keyword'>let</span> <span class='hs-varid'>z</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>f</span> <span class='hs-varid'>x</span> <span class='hs-varop'>`using`</span> <span class='hs-varid'>s</span> <span class='hs-keyword'>in</span>
<a name="line-711"></a>                    <span class='hs-varid'>z</span> <span class='hs-varop'>`par`</span> <span class='hs-varid'>g</span> <span class='hs-varid'>z</span>
<a name="line-712"></a>
<a name="line-713"></a><span class='hs-comment'>-- -----------------------------------------------------------------------------</span>
<a name="line-714"></a><span class='hs-comment'>-- Old/deprecated stuff</span>
<a name="line-715"></a>
<a name="line-716"></a><a name="Done"></a><span class='hs-comment'>{-# DEPRECATED Done "The Strategy type is now a -&gt; Eval a, not a -&gt; Done" #-}</span>
<a name="line-717"></a><a name="Done"></a><span class='hs-comment'>-- | DEPRECCATED: replaced by the 'Eval' monad</span>
<a name="line-718"></a><a name="Done"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>()</span>
<a name="line-719"></a>
<a name="line-720"></a><a name="demanding"></a><span class='hs-comment'>{-# DEPRECATED demanding "Use pseq or $| instead" #-}</span>
<a name="line-721"></a><span class='hs-comment'>-- | DEPRECATED: Use 'pseq' or '$|' instead</span>
<a name="line-722"></a><span class='hs-definition'>demanding</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-723"></a><span class='hs-definition'>demanding</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>pseq</span>
<a name="line-724"></a>
<a name="line-725"></a><a name="sparking"></a><span class='hs-comment'>{-# DEPRECATED sparking "Use par or $|| instead" #-}</span>
<a name="line-726"></a><span class='hs-comment'>-- | DEPRECATED: Use 'par' or '$||' instead</span>
<a name="line-727"></a><span class='hs-definition'>sparking</span> <span class='hs-keyglyph'>::</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-728"></a><span class='hs-definition'>sparking</span>  <span class='hs-keyglyph'>=</span> <span class='hs-varid'>flip</span> <span class='hs-varid'>par</span>
<a name="line-729"></a>
<a name="line-730"></a><a name="%3e%7c"></a><span class='hs-comment'>{-# DEPRECATED (&gt;|) "Use pseq or $| instead" #-}</span>
<a name="line-731"></a><span class='hs-comment'>-- | DEPRECATED: Use 'pseq' or '$|' instead</span>
<a name="line-732"></a><span class='hs-layout'>(</span><span class='hs-varop'>&gt;|</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span>
<a name="line-733"></a><span class='hs-layout'>(</span><span class='hs-varop'>&gt;|</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Prelude</span><span class='hs-varop'>.</span><span class='hs-varid'>seq</span>
<a name="line-734"></a>
<a name="line-735"></a><a name="%3e%7c%7c"></a><span class='hs-comment'>{-# DEPRECATED (&gt;||) "Use par or $|| instead" #-}</span>
<a name="line-736"></a><span class='hs-comment'>-- | DEPRECATED: Use 'par' or '$||' instead</span>
<a name="line-737"></a><span class='hs-layout'>(</span><span class='hs-varop'>&gt;||</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Done</span>
<a name="line-738"></a><span class='hs-layout'>(</span><span class='hs-varop'>&gt;||</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>par</span>
<a name="line-739"></a>
<a name="line-740"></a><a name="rwhnf"></a><span class='hs-comment'>{-# DEPRECATED rwhnf "renamed to rseq" #-}</span>
<a name="line-741"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'rseq'</span>
<a name="line-742"></a><span class='hs-definition'>rwhnf</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span>
<a name="line-743"></a><span class='hs-definition'>rwhnf</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rseq</span>
<a name="line-744"></a>
<a name="line-745"></a><a name="seqTraverse"></a><span class='hs-comment'>{-# DEPRECATED seqTraverse "renamed to evalTraversable" #-}</span>
<a name="line-746"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'evalTraversable'</span>
<a name="line-747"></a><span class='hs-definition'>seqTraverse</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-748"></a><span class='hs-definition'>seqTraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalTraversable</span>
<a name="line-749"></a>
<a name="line-750"></a><a name="parTraverse"></a><span class='hs-comment'>{-# DEPRECATED parTraverse "renamed to parTraversable" #-}</span>
<a name="line-751"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'parTraversable'</span>
<a name="line-752"></a><span class='hs-definition'>parTraverse</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Traversable</span> <span class='hs-varid'>t</span> <span class='hs-keyglyph'>=&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-layout'>(</span><span class='hs-varid'>t</span> <span class='hs-varid'>a</span><span class='hs-layout'>)</span>
<a name="line-753"></a><span class='hs-definition'>parTraverse</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parTraversable</span>
<a name="line-754"></a>
<a name="line-755"></a><span class='hs-comment'>{-# DEPRECATED parListWHNF "use (parList rseq) instead" #-}</span>
<a name="line-756"></a>
<a name="line-757"></a><a name="seqList"></a><span class='hs-comment'>{-# DEPRECATED seqList "renamed to evalList" #-}</span>
<a name="line-758"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'evalList'</span>
<a name="line-759"></a><span class='hs-definition'>seqList</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span>
<a name="line-760"></a><span class='hs-definition'>seqList</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalList</span>
<a name="line-761"></a>
<a name="line-762"></a><a name="seqPair"></a><span class='hs-comment'>{-# DEPRECATED seqPair "renamed to evalTuple2" #-}</span>
<a name="line-763"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'evalTuple2'</span>
<a name="line-764"></a><span class='hs-definition'>seqPair</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-765"></a><span class='hs-definition'>seqPair</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalTuple2</span>
<a name="line-766"></a>
<a name="line-767"></a><a name="parPair"></a><span class='hs-comment'>{-# DEPRECATED parPair "renamed to parTuple2" #-}</span>
<a name="line-768"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'parTuple2'</span>
<a name="line-769"></a><span class='hs-definition'>parPair</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-770"></a><span class='hs-definition'>parPair</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parTuple2</span>
<a name="line-771"></a>
<a name="line-772"></a><a name="seqTriple"></a><span class='hs-comment'>{-# DEPRECATED seqTriple "renamed to evalTuple3" #-}</span>
<a name="line-773"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'evalTuple3'</span>
<a name="line-774"></a><span class='hs-definition'>seqTriple</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-775"></a><span class='hs-definition'>seqTriple</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>evalTuple3</span>
<a name="line-776"></a>
<a name="line-777"></a><a name="parTriple"></a><span class='hs-comment'>{-# DEPRECATED parTriple "renamed to parTuple3" #-}</span>
<a name="line-778"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'parTuple3'</span>
<a name="line-779"></a><span class='hs-definition'>parTriple</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>b</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</span> <span class='hs-varid'>c</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-conid'>Strategy</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-780"></a><span class='hs-definition'>parTriple</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>parTuple3</span>
<a name="line-781"></a>
<a name="line-782"></a><a name="unEval"></a><span class='hs-comment'>{-# DEPRECATED unEval "renamed to runEval" #-}</span>
<a name="line-783"></a><span class='hs-comment'>-- | DEPRECATED: renamed to 'runEval'</span>
<a name="line-784"></a><span class='hs-definition'>unEval</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Eval</span> <span class='hs-varid'>a</span> <span class='hs-keyglyph'>-&gt;</span> <span class='hs-varid'>a</span>
<a name="line-785"></a><span class='hs-definition'>unEval</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>runEval</span>
<a name="line-786"></a>
<a name="line-787"></a><span class='hs-comment'>{- $history #history#
<a name="line-788"></a>
<a name="line-789"></a>The strategies library has a long history.  What follows is a
<a name="line-790"></a>summary of how the current design evolved, and is mostly of
<a name="line-791"></a>interest to those who are familiar with an older version, or need
<a name="line-792"></a>to adapt old code to use the newer API.
<a name="line-793"></a>
<a name="line-794"></a>Version 1.x
<a name="line-795"></a>
<a name="line-796"></a>  The original Strategies design is described in /Algorithm + Strategy = Parallelism/ &lt;<a href="http://www.macs.hw.ac.uk/~dsg/gph/papers/html/Strategies/strategies.html">http://www.macs.hw.ac.uk/~dsg/gph/papers/html/Strategies/strategies.html</a>&gt;
<a name="line-797"></a>  and the code was written by
<a name="line-798"></a>     Phil Trinder, Hans-Wolfgang Loidl, Kevin Hammond et al.
<a name="line-799"></a>
<a name="line-800"></a>Version 2.x
<a name="line-801"></a>
<a name="line-802"></a>Later, during work on the shared-memory implementation of
<a name="line-803"></a>parallelism in GHC, we discovered that the original formulation of
<a name="line-804"></a>Strategies had some problems, in particular it lead to space leaks
<a name="line-805"></a>and difficulties expressing speculative parallelism.  Details are in
<a name="line-806"></a>the paper /Runtime Support for Multicore Haskell/ &lt;<a href="http://community.haskell.org/~simonmar/papers/multicore-ghc.pdf">http://community.haskell.org/~simonmar/papers/multicore-ghc.pdf</a>&gt;.
<a name="line-807"></a>
<a name="line-808"></a>This module has been rewritten in version 2. The main change is to
<a name="line-809"></a>the 'Strategy a' type synonym, which was previously @a -&gt; Done@ and
<a name="line-810"></a>is now @a -&gt; Eval a@.  This change helps to fix the space leak described
<a name="line-811"></a>in \"Runtime Support for Multicore Haskell\".  The problem is that
<a name="line-812"></a>the runtime will currently retain the memory referenced by all
<a name="line-813"></a>sparks, until they are evaluated.  Hence, we must arrange to
<a name="line-814"></a>evaluate all the sparks eventually, just in case they aren't
<a name="line-815"></a>evaluated in parallel, so that they don't cause a space leak.  This
<a name="line-816"></a>is why we must return a \"new\" value after applying a 'Strategy',
<a name="line-817"></a>so that the application can evaluate each spark created by the
<a name="line-818"></a>'Strategy'.
<a name="line-819"></a>
<a name="line-820"></a>The simple rule is this: you /must/ use the result of applying
<a name="line-821"></a>a 'Strategy' if the strategy creates parallel sparks, and you
<a name="line-822"></a>should probably discard the the original value.  If you don't
<a name="line-823"></a>do this, currently it may result in a space leak.  In the
<a name="line-824"></a>future (GHC 6.14), it will probably result in lost parallelism
<a name="line-825"></a>instead, as we plan to change GHC so that unreferenced sparks
<a name="line-826"></a>are discarded rather than retained (we can't make this change
<a name="line-827"></a>until most code is switched over to this new version of
<a name="line-828"></a>Strategies, because code using the old verison of Strategies
<a name="line-829"></a>would be broken by the change in policy).
<a name="line-830"></a>
<a name="line-831"></a>The other changes in version 2.x are:
<a name="line-832"></a>
<a name="line-833"></a>  * Strategies can now be defined using a convenient Monad/Applicative
<a name="line-834"></a>    type, 'Eval'.  e.g. @parList s = traverse (Par . (``using`` s))@
<a name="line-835"></a>
<a name="line-836"></a>  * 'parList' has been generalised to 'parTraverse', which works on
<a name="line-837"></a>    any 'Traversable' type, and similarly 'seqList' has been generalised
<a name="line-838"></a>    to 'seqTraverse'
<a name="line-839"></a>
<a name="line-840"></a>  * 'parList' and 'parBuffer' have versions specialised to 'rwhnf',
<a name="line-841"></a>    and there are transformation rules that automatically translate
<a name="line-842"></a>    e.g. @parList rwnhf@ into a call to the optimised version.
<a name="line-843"></a>
<a name="line-844"></a>  * 'NFData' has been moved to @Control.DeepSeq@ in the @deepseq@
<a name="line-845"></a>    package.  Note that since the 'Strategy' type changed, 'rnf'
<a name="line-846"></a>    is no longer a 'Strategy': use 'rdeepseq' instead.
<a name="line-847"></a>
<a name="line-848"></a>Version 2.1 moved NFData into a separate package, @deepseq@.
<a name="line-849"></a>
<a name="line-850"></a>Version 2.2 changed the type of Strategy to @a -&gt; Eval a@, and
<a name="line-851"></a>re-introduced the @r0@ strategy which was missing in version 2.1.
<a name="line-852"></a>
<a name="line-853"></a>Version 2.3 simplified the @Eval@ type, so that @Eval@ is now just
<a name="line-854"></a>the strict identity monad.  This change and various other
<a name="line-855"></a>improvements and refactorings are thanks to Patrick Maier who
<a name="line-856"></a>noticed that @Eval@ didn't satisfy the monad laws, and that a
<a name="line-857"></a>simpler version would fix that problem.
<a name="line-858"></a>
<a name="line-859"></a>(version 2.3 was not released on Hackage).
<a name="line-860"></a>
<a name="line-861"></a>Version 3 introduced a major overhaul of the API, to match what is
<a name="line-862"></a>presented in the paper
<a name="line-863"></a>
<a name="line-864"></a>  /Seq no More: Better Strategies for Parallel Haskell/
<a name="line-865"></a>  &lt;<a href="http://community.haskell.org/~simonmar/papers/strategies.pdf">http://community.haskell.org/~simonmar/papers/strategies.pdf</a>&gt;
<a name="line-866"></a>
<a name="line-867"></a>The major differences in the API are:
<a name="line-868"></a>
<a name="line-869"></a> * The addition of Sequential strategies ("Control.Seq") as
<a name="line-870"></a>   a composable means for specifying sequential evaluation.
<a name="line-871"></a>
<a name="line-872"></a> * Changes to the naming scheme: 'rwhnf' renamed to 'rseq',
<a name="line-873"></a>   'seqList' renamed to 'evalList', 'seqPair' renamed to
<a name="line-874"></a>   'evalTuple2',
<a name="line-875"></a>
<a name="line-876"></a>The naming scheme is now as follows:
<a name="line-877"></a>
<a name="line-878"></a>  * Basic polymorphic strategies (of type @'Strategy' a@) are called @r...@.
<a name="line-879"></a>    Examples: 'r0', 'rseq', 'rpar', 'rdeepseq'.
<a name="line-880"></a>
<a name="line-881"></a>  * A strategy combinator for a particular type constructor
<a name="line-882"></a>    or constructor class @T@ is called @evalT...@, @parT...@ or @seqT...@.
<a name="line-883"></a>
<a name="line-884"></a>  * The @seqT...@ combinators (residing in module
<a name="line-885"></a>     "Control.Seq") yield sequential strategies.
<a name="line-886"></a>     Thus, @seqT...@ combinators cannot spark, nor can the sequential
<a name="line-887"></a>     strategies to which they may be applied.
<a name="line-888"></a>     Examples: 'seqTuple2', 'seqListN', 'seqFoldable'.
<a name="line-889"></a>
<a name="line-890"></a>  * The @evalT...@ combinators do not spark themselves, yet they may
<a name="line-891"></a>     be applied to strategies that do spark. (They may also be applied
<a name="line-892"></a>     to non-sparking strategies; however, in that case the corresponding
<a name="line-893"></a>     @seqT...@ combinator might be a better choice.)
<a name="line-894"></a>     Examples: 'evalTuple2', 'evalListN', 'evalTraversable'.
<a name="line-895"></a>
<a name="line-896"></a>  * The @parT...@ combinators, which are derived from their @evalT...@
<a name="line-897"></a>     counterparts, do spark. They may be applied to all strategies,
<a name="line-898"></a>     whether sparking or not.
<a name="line-899"></a>     Examples: 'parTuple2', 'parListN', 'parTraversable'.
<a name="line-900"></a>
<a name="line-901"></a>  * An exception to the type driven naming scheme are 'evalBuffer' and
<a name="line-902"></a>     'parBuffer', which are not named after their type constructor (lists)
<a name="line-903"></a>     but after their function (rolling buffer of fixed size).
<a name="line-904"></a>-}</span>
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