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<title>Introduction à la Programmation Fonctionnelle en Haskell</title>
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<section>
<h1>Introduction à la Programmation Fonctionnelle en Haskell</h1>
<h3>Yann Esposito</h3>
<p>
<h4>&lt;2018-03-15 Thu&gt;</h4>
</p>
</section>
<section id="courte-introduction" class="level1">
<h1>Courte Introduction</h1>
<section id="prelude" class="level2">
<h2>Prelude</h2>
<p>Initialiser l'env de dev:</p>
<pre class="shell"><code>curl -sSL https://get.haskellstack.org/ | sh
stack new ipfh https://git.io/vbpej &amp;&amp; \
cd ipfh &amp;&amp; \
stack setup &amp;&amp; \
stack build &amp;&amp; \
stack test &amp;&amp; \
stack bench
</code></pre>
</section>
<section id="parcours-jusquà-haskell" class="level2">
<h2>Parcours jusqu'à Haskell</h2>
<section id="parcours-pro" class="level3">
<h3>Parcours Pro</h3>
<ul>
<li>Doctorat (machine learning, hidden markov models) 2004</li>
<li>Post doc (écriture d'un UI pour des biologistes en Java). 2006</li>
<li>Dev Airfrance, (Perl, scripts shell, awk, HTML, CSS, JS, XML...) 2006 → 2013</li>
<li>Dev (ruby, C, ML) pour GridPocket. (dev) 2009 → 2011, (impliqué) 2009 →</li>
<li>Clojure dev &amp; Machine Learning pour Vigiglobe. 2013 → 2016</li>
<li>Senior Clojure développeur chez Cisco. 2016 →</li>
</ul>
</section>
<section id="langages-de-programmations-basiques" class="level3">
<h3>Langages de programmations basiques</h3>
<ol>
<li>BASIC (MO5, Amstrad CPC 6129, Atari STf)</li>
<li>Logo (école primaire, + écriture d'un cours en 1ère année de Fac)</li>
<li>Pascal (lycée, fac)</li>
<li>C (fac)</li>
<li>ADA (fac)</li>
</ol>
</section>
<section id="langages-de-programmations-orientés-objet" class="level3">
<h3>Langages de programmations orientés objet</h3>
<ol>
<li>C++ (fac + outils de recherche pour doctorat)</li>
<li>Eiffel (fac)</li>
<li>Java (fac, UI en Java 1.6, Swing pour postdoc)</li>
<li>Objective-C (temps personnel, app iPhone, app Mac, Screensavers)</li>
</ol>
</section>
<section id="langages-moderne-de-script" class="level3">
<h3>Langages moderne de script</h3>
<ol>
<li>PHP (fac, site perso)</li>
<li>Python (fac, projets perso, jeux, etc...)</li>
<li>Awk (fac, Airfrance, ...)</li>
<li>Perl (Airfrance...)</li>
<li>Ruby (GridPocket, site perso v2)</li>
<li>Javascript:
<ul>
<li><em>Airfrance</em> basic prototype, jquery, etc..,</li>
<li>spine.js</li>
<li>backbone.js</li>
<li>Coffeescript</li>
<li>Cappuccino (Objective-J)</li>
<li>Sproutcore</li>
<li><em>Vigiglobe</em> actionhero (nodejs), angularjs v1</li>
</ul></li>
</ol>
</section>
<section id="langage-peu-reconnus" class="level3">
<h3>Langage peu (re)connus</h3>
<ol>
<li>Metapost</li>
<li>zsh (quasi lang de prog)</li>
<li>prolog</li>
</ol>
</section>
<section id="langages-fonctionnels" class="level3">
<h3>Langages fonctionnels</h3>
<ol>
<li>CamL</li>
<li>Haskell (Vigiglobe, personnal)</li>
<li>Clojure (Vigiglobe, Cisco)</li>
</ol>
</section>
</section>
<section id="quest-ce-que-la-programmation-fonctionnelle" class="level2">
<h2>Qu'est-ce que la programmation fonctionnelle?</h2>
<section id="von-neumann-architecture" class="level3">
<h3>Von Neumann Architecture</h3>
<pre><code> +--------------------------------+
| +----------------------------+ |
| | central processing unit | |
| | +------------------------+ | |
| | | Control Unit | | |
+------+ | | +------------------------+ | | +--------+
|input +---&gt; | +------------------------+ | +--&gt; output |
+------+ | | | Arithmetic/Logic Unit | | | +--------+
| | +------------------------+ | |
| +-------+---^----------------+ |
| | | |
| +-------v---+----------------+ |
| | Memory Unit | |
| +----------------------------+ |
+--------------------------------+
</code></pre>
<p>made with <a href="http://asciiflow.com" class="uri">http://asciiflow.com</a></p>
</section>
<section id="von-neumann-vs-church" class="level3">
<h3>Von Neumann vs Church</h3>
<ul>
<li>programmer à partir de la machine (Von Neumann)
<ul>
<li>tire vers l'optimisation</li>
<li>mots de bits, caches, détails de bas niveau</li>
<li>actions séquentielles</li>
<li><strong>1 siècle d'expérience</strong></li>
</ul></li>
</ul>
<div class="incremental">
<ul>
<li>programmer comme manipulation de symbole (Alonzo Church)
<ul>
<li>tire vers l'abstraction</li>
<li>plus proche des représentations mathématiques</li>
<li>ordre d'évaluation non imposé</li>
<li><strong>4000 ans d'expérience</strong></li>
</ul></li>
</ul>
</div>
</section>
<section id="histoire" class="level3">
<h3>Histoire</h3>
<ul>
<li>λ-Calculus, Alonzo Church &amp; Rosser 1936
<ul>
<li>Foundation, explicit side effect no implicit state</li>
</ul></li>
</ul>
<div class="incremental">
<ul>
<li>LISP (McCarthy 1960)
<ul>
<li>Garbage collection, higher order functions, dynamic typing</li>
</ul></li>
</ul>
</div>
<div class="incremental">
<ul>
<li>ML (1969-80)
<ul>
<li>Static typing, Algebraic Datatypes, Pattern matching</li>
</ul></li>
</ul>
</div>
<div class="incremental">
<ul>
<li>Miranda (1986) → Haskell (1992‥)
<ul>
<li>Lazy evaluation, pure</li>
</ul></li>
</ul>
</div>
</section>
<section id="retour-dexpérience-subjectif" class="level3">
<h3>Retour d'expérience subjectif</h3>
<p><em>pieds nus</em> (code machine, ASM)</p>
<div class="incremental">
<pre><code> _
/ \
/. ) _
___/ | / / \
.-&#39;__/ |( ( .\
\ | \___
)| \__`-.
</code></pre>
<p><em>Talons hauts</em> (C, Pascal, Java, C++, Perl, PHP, Python, Ruby, etc...)</p>
</div>
<div class="incremental">
<p><em>Tennis</em> (Clojure, Scheme, LISP, etc...)</p>
</div>
<div class="incremental">
<p><em>Voiture</em> (Haskell, Purescript, etc...)</p>
</div>
</section>
</section>
<section id="pourquoi-haskell" class="level2">
<h2>Pourquoi Haskell?</h2>
<section id="simplicité-par-labstraction" class="level3">
<h3>Simplicité par l'abstraction</h3>
<p><strong><code>/!\</code> SIMPLICITÉ ≠ FACILITÉ <code>/!\</code></strong></p>
<ul>
<li>mémoire (garbage collection)</li>
<li>ordre d'évaluation (non strict / lazy)</li>
<li>effets de bords (pur)</li>
<li>manipulation de code (referential transparency)</li>
</ul>
</section>
<section id="production-ready" class="level3">
<h3>Production Ready™</h3>
<ul>
<li>rapide
<ul>
<li>équivalent à Java (~ x2 du C)</li>
<li>parfois plus rapide que C</li>
<li>bien plus rapide que python et ruby</li>
</ul></li>
</ul>
<div class="incremental">
<ul>
<li>communauté solide
<ul>
<li>3k comptes sur Haskellers</li>
<li>&gt;30k sur reddit <em>(35k rust, 45k go, 50k nodejs, 4k ocaml, 13k clojure)</em></li>
<li>libs &gt;12k sur hackage</li>
</ul></li>
</ul>
</div>
<div class="incremental">
<ul>
<li>entreprises
<ul>
<li>Facebook (fighting spam, HAXL, ...)</li>
<li>beaucoup de startups, finance en général</li>
</ul></li>
</ul>
</div>
<div class="incremental">
<ul>
<li>milieu académique
<ul>
<li>fondations mathématiques</li>
<li>fortes influences des chercheurs</li>
<li>tire le langage vers le haut</li>
</ul></li>
</ul>
</div>
</section>
<section id="tooling" class="level3">
<h3>Tooling</h3>
<ul>
<li>compilateur (GHC)</li>
<li>gestion de projets ; cabal, stack, hpack, etc...</li>
<li>IDE / hlint ; rapidité des erreurs en cours de frappe</li>
<li>frameworks hors catégorie (servant, yesod)</li>
<li>ecosystèmes très matures et inovant
<ul>
<li>Elm (⇒ frontend)</li>
<li>Purescript (⇒ frontend)</li>
<li>GHCJS (⇒ frontend)</li>
<li>Idris (types dépendants)</li>
<li>Hackett (typed LISP avec macros)</li>
</ul></li>
</ul>
</section>
<section id="qualité" class="level3">
<h3>Qualité</h3>
<blockquote>
<p><em>Si ça compile alors il probable que ça marche</em></p>
</blockquote>
<div class="incremental">
<ul>
<li>test unitaires : chercher quelques erreurs manuellements</li>
</ul>
</div>
<div class="incremental">
<ul>
<li><em>test génératifs</em> : chercher des erreurs sur beaucoups de cas générés aléatoirement &amp; aide pour trouver l'erreur sur l'objet le plus simple</li>
</ul>
</div>
<div class="incremental">
<ul>
<li><em>finite state machine generative testing</em> : chercher des erreurs sur le déroulement des actions entre différents agents indépendants</li>
</ul>
</div>
<div class="incremental">
<ul>
<li><strong>preuves</strong>: chercher des erreur sur <strong>TOUTES</strong> les entrées possibles possible à l'aide du système de typage</li>
</ul>
</div>
</section>
</section>
</section>
<section id="premiers-pas-en-haskell" class="level1">
<h1>Premiers Pas en Haskell</h1>
<section id="hello-world-13" class="level3">
<h3>Hello World! (1/3)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> putStrLn <span class="st">&quot;Hello World!&quot;</span></code></pre></div>
<p><a href="~/.deft/pres-haskell/hello.hs">file:~/.deft/pres-haskell/hello.hs</a></p>
</section>
<section id="hello-world-23" class="level3">
<h3>Hello World! (2/3)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> putStrLn <span class="st">&quot;Hello World!&quot;</span></code></pre></div>
<ul>
<li><code>::</code> de type ;</li>
<li><code>=</code> égalité (la vrai, on peut interchanger ce qu'il y a des deux cotés) ;</li>
<li>le type de <code>putStrLn</code> est <code>String -&gt; IO ()</code> ;</li>
<li>le type de <code>main</code> est <code>IO ()</code>.</li>
</ul>
</section>
<section id="hello-world-33" class="level3">
<h3>Hello World! (3/3)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> putStrLn <span class="st">&quot;Hello World!&quot;</span></code></pre></div>
<ul>
<li>Le type <code>IO a</code> signifie: C'est une description d'une procédure qui quand elle est évaluée peut faire des actions d'IO et finalement retourne une valeur de type <code>a</code> ;</li>
<li><code>main</code> est le nom du point d'entrée du programme ;</li>
<li>Haskell runtime va chercher pour <code>main</code> et l'exécute.</li>
</ul>
</section>
<section id="what-is-your-name" class="level2">
<h2>What is your name?</h2>
<section id="what-is-your-name-13" class="level3">
<h3>What is your name? (1/3)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> <span class="kw">do</span>
putStrLn <span class="st">&quot;Hello! What is your name?&quot;</span>
name <span class="ot">&lt;-</span> getLine
<span class="kw">let</span> output <span class="fu">=</span> <span class="st">&quot;Nice to meet you, &quot;</span> <span class="fu">++</span> name <span class="fu">++</span> <span class="st">&quot;!&quot;</span>
putStrLn output</code></pre></div>
<p><a href="file:pres-haskell/name.hs" class="uri">file:pres-haskell/name.hs</a></p>
</section>
<section id="what-is-your-name-23" class="level3">
<h3>What is your name? (2/3)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> <span class="kw">do</span>
putStrLn <span class="st">&quot;Hello! What is your name?&quot;</span>
name <span class="ot">&lt;-</span> getLine
<span class="kw">let</span> output <span class="fu">=</span> <span class="st">&quot;Nice to meet you, &quot;</span> <span class="fu">++</span> name <span class="fu">++</span> <span class="st">&quot;!&quot;</span>
putStrLn output</code></pre></div>
<ul>
<li>l'indentation est importante !</li>
<li><code>do</code> commence une syntaxe spéciale qui permet de séquencer des actions <code>IO</code> ;</li>
<li>le type de <code>getLine</code> est <code>IO String</code> ;</li>
<li><code>IO String</code> signifie: Ceci est la description d'une procédure qui lorsqu'elle est évaluée peut faire des actions IO et à la fin retourne une valeur de type <code>String</code>.</li>
</ul>
</section>
<section id="what-is-your-name-33" class="level3">
<h3>What is your name? (3/3)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> <span class="kw">do</span>
putStrLn <span class="st">&quot;Hello! What is your name?&quot;</span>
name <span class="ot">&lt;-</span> getLine
<span class="kw">let</span> output <span class="fu">=</span> <span class="st">&quot;Nice to meet you, &quot;</span> <span class="fu">++</span> name <span class="fu">++</span> <span class="st">&quot;!&quot;</span>
putStrLn output</code></pre></div>
<ul>
<li>le type de <code>getLine</code> est <code>IO String</code></li>
<li>le type de <code>name</code> est <code>String</code></li>
<li><code>&lt;-</code> est une syntaxe spéciale qui n'apparait que dans la notation <code>do</code></li>
<li><code>&lt;-</code> signifie: évalue la procédure et attache la valeur renvoyée dans le nom à gauche de <code>&lt;-</code></li>
<li><code>let &lt;name&gt; = &lt;expr&gt;</code> signifie que <code>name</code> est interchangeable avec <code>expr</code> pour le reste du bloc <code>do</code>.</li>
<li>dans un bloc <code>do</code>, <code>let</code> n'a pas besoin d'être accompagné par <code>in</code> à la fin.</li>
</ul>
</section>
</section>
<section id="erreurs-classiques" class="level2">
<h2>Erreurs classiques</h2>
<section id="erreur-classique-1" class="level3">
<h3>Erreur classique #1</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> <span class="kw">do</span>
putStrLn <span class="st">&quot;Hello! What is your name?&quot;</span>
<span class="kw">let</span> output <span class="fu">=</span> <span class="st">&quot;Nice to meet you, &quot;</span> <span class="fu">++</span> getLine <span class="fu">++</span> <span class="st">&quot;!&quot;</span>
putStrLn output</code></pre></div>
<pre><code>/Users/yaesposi/.deft/pres-haskell/name.hs:6:40: warning: [-Wdeferred-type-errors]
• Couldn&#39;t match expected type [Char]
with actual type IO String
• In the first argument of (++), namely getLine
In the second argument of (++), namely getLine ++ &quot;!&quot;
In the expression: &quot;Nice to meet you, &quot; ++ getLine ++ &quot;!&quot;
|
6 | let output = &quot;Nice to meet you, &quot; ++ getLine ++ &quot;!&quot;
| ^^^^^^^
Ok, one module loaded.
</code></pre>
</section>
<section id="erreur-classique-1-1" class="level3">
<h3>Erreur classique #1</h3>
<ul>
<li><code>String</code> est <code>[Char]</code></li>
<li>Haskell n'arrive pas à faire matcher le type <code>String</code> avec <code>IO String</code>.</li>
<li><code>IO a</code> et <code>a</code> sont différents</li>
</ul>
</section>
<section id="erreur-classique-2" class="level3">
<h3>Erreur classique #2</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> <span class="kw">do</span>
putStrLn <span class="st">&quot;Hello! What is your name?&quot;</span>
name <span class="ot">&lt;-</span> getLine
putStrLn <span class="st">&quot;Nice to meet you, &quot;</span> <span class="fu">++</span> name <span class="fu">++</span> <span class="st">&quot;!&quot;</span></code></pre></div>
<pre><code>/Users/yaesposi/.deft/pres-haskell/name.hs:7:3: warning: [-Wdeferred-type-errors]
• Couldn&#39;t match expected type [Char] with actual type IO ()
• In the first argument of (++), namely
putStrLn &quot;Nice to meet you, &quot;
In a stmt of a &#39;do&#39; block:
putStrLn &quot;Nice to meet you, &quot; ++ name ++ &quot;!&quot;
In the expression:
do putStrLn &quot;Hello! What is your name?&quot;
name &lt;- getLine
putStrLn &quot;Nice to meet you, &quot; ++ name ++ &quot;!&quot;
|
7 | putStrLn &quot;Nice to meet you, &quot; ++ name ++ &quot;!&quot;
</code></pre>
</section>
<section id="erreur-classique-2-fix" class="level3">
<h3>Erreur classique #2 (fix)</h3>
<ul>
<li>Des parenthèses sont nécessaires</li>
<li>L'application de fonction se fait de gauche à droite</li>
</ul>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">module</span> <span class="dt">Main</span> <span class="kw">where</span>
<span class="ot">main ::</span> <span class="dt">IO</span> ()
main <span class="fu">=</span> <span class="kw">do</span>
putStrLn <span class="st">&quot;Hello! What is your name?&quot;</span>
name <span class="ot">&lt;-</span> getLine
putStrLn (<span class="st">&quot;Nice to meet you, &quot;</span> <span class="fu">++</span> name <span class="fu">++</span> <span class="st">&quot;!&quot;</span>)</code></pre></div>
</section>
</section>
</section>
<section id="concepts-avec-exemples" class="level1">
<h1>Concepts avec exemples</h1>
<section id="concepts" class="level3">
<h3>Concepts</h3>
<ul>
<li><em>pureté</em> (par défaut)</li>
<li><em>evaluation paraisseuse</em> (par défaut)</li>
<li><em>ADT &amp; typage polymorphique</em></li>
</ul>
</section>
<section id="pureté-function-vs-proceduresubroutines" class="level3">
<h3><em>Pureté</em>: Function vs Procedure/Subroutines</h3>
<ul>
<li>Une <em>fonction</em> n'a pas d'effet de bord</li>
<li>Une <em>Procedure</em> ou <em>subroutine</em> but engendrer des effets de bords lors de son évaluation</li>
</ul>
</section>
<section id="pureté-function-vs-proceduresubroutines-exemple" class="level3">
<h3><em>Pureté</em>: Function vs Procedure/Subroutines (exemple)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="ot">dist ::</span> <span class="dt">Double</span> <span class="ot">-&gt;</span> <span class="dt">Double</span> <span class="ot">-&gt;</span> <span class="dt">Double</span>
dist x y <span class="fu">=</span> sqrt (x<span class="fu">**</span><span class="dv">2</span> <span class="fu">+</span> y<span class="fu">**</span><span class="dv">2</span>)</code></pre></div>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="ot">getName ::</span> <span class="dt">IO</span> <span class="dt">String</span>
getName <span class="fu">=</span> readLine</code></pre></div>
<ul>
<li><strong>IO a</strong><strong>IMPUR</strong> ; effets de bords hors evaluation :
<ul>
<li>lire un fichier ;</li>
<li>écrire sur le terminal ;</li>
<li>changer la valeur d'une variable en RAM est impur.</li>
</ul></li>
</ul>
</section>
<section id="pureté-gain-paralellisation-gratuite" class="level3">
<h3><em>Pureté</em>: Gain, paralellisation gratuite</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">import </span><span class="dt">Foreign.Lib</span> (f)
<span class="co">-- f :: Int -&gt; Int</span>
<span class="co">-- f = ???</span>
foo <span class="fu">=</span> sum results
<span class="kw">where</span> results <span class="fu">=</span> map f [<span class="dv">1</span><span class="fu">..</span><span class="dv">100</span>]</code></pre></div>
<div class="incremental">
<p><strong><code>fmap</code> FTW!!!!! Assurance d'avoir le même résultat avec 32 cœurs</strong></p>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">import </span><span class="dt">Foreign.Lib</span> (f)
<span class="co">-- f :: Int -&gt; Int</span>
<span class="co">-- f = ???</span>
foo <span class="fu">=</span> sum results
<span class="kw">where</span> results <span class="fu">=</span> fmap f [<span class="dv">1</span><span class="fu">..</span><span class="dv">100</span>]</code></pre></div>
</div>
</section>
<section id="pureté-structures-de-données-immuable" class="level3">
<h3><em>Pureté</em>: Structures de données immuable</h3>
<p>Purely functional data structures, <em>Chris Okasaki</em></p>
<p>Thèse en 1996, et un livre.</p>
<p>Opérations sur les listes, tableaux, arbres de complexité amortie equivalent ou proche (pire des cas facteur log(n)) de celle des structures de données muables.</p>
</section>
<section id="évaluation-parraisseuse-stratégies-dévaluations" class="level3">
<h3><em>Évaluation parraisseuse</em>: Stratégies d'évaluations</h3>
<p><code>(h (f a) (g b))</code> peut s'évaluer:</p>
<ul>
<li><code>a</code><code>(f a)</code><code>b</code><code>(g b)</code><code>(h (f a) (g b))</code></li>
<li><code>b</code><code>a</code><code>(g b)</code><code>(f a)</code><code>(h (f a) (g b))</code></li>
<li><code>a</code> et <code>b</code> en parallèle puis <code>(f a)</code> et <code>(g b)</code> en parallèle et finallement <code>(h (f a) (g b))</code></li>
<li><code>h</code><code>(f a)</code> seulement si nécessaire et puis <code>(g b)</code> seulement si nécessaire</li>
</ul>
<p>Par exemple: <code>(def h (λx.λy.(+ x x)))</code> il n'est pas nécessaire d'évaluer <code>y</code>, dans notre cas <code>(g b)</code></p>
</section>
<section id="évaluation-parraisseuse-exemple-1" class="level3">
<h3><em>Évaluation parraisseuse</em>: Exemple 1</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell">quickSort [] <span class="fu">=</span> []
quickSort (x<span class="fu">:</span>xs) <span class="fu">=</span> quickSort (filter (<span class="fu">&lt;</span>x) xs)
<span class="fu">++</span> [x]
<span class="fu">++</span> quickSort (filter (<span class="fu">&gt;=</span>x) xs)
minimum list <span class="fu">=</span> head (quickSort list)</code></pre></div>
<p>Un appel à <code>minimum longList</code> ne vas pas ordonner toute la liste. Le travail s'arrêtera dès que le premier élément de la liste ordonnée sera trouvé.</p>
<p><code>take k (quickSort list)</code> est en <code>O(n + k log k)</code><code>n = length list</code>. Alors qu'avec une évaluation stricte: <code>O(n log n)</code>.</p>
</section>
<section id="évaluation-parraisseuse-structures-de-données-infinies-zip" class="level3">
<h3><em>Évaluation parraisseuse</em>: Structures de données infinies (zip)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell">zip<span class="ot"> ::</span> [a] <span class="ot">-&gt;</span> [b] <span class="ot">-&gt;</span> [(a,b)]
zip [] _ <span class="fu">=</span> []
zip _ [] <span class="fu">=</span> []
zip (x<span class="fu">:</span>xs) (y<span class="fu">:</span>ys) <span class="fu">=</span> (x,y)<span class="fu">:</span>zip xs ys</code></pre></div>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell">zip [<span class="dv">1</span><span class="fu">..</span>] [<span class="ch">&#39;a&#39;</span>,<span class="ch">&#39;b&#39;</span>,<span class="ch">&#39;c&#39;</span>]</code></pre></div>
<p>s'arrête et renvoie :</p>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell">[(<span class="dv">1</span>,<span class="ch">&#39;a&#39;</span>), (<span class="dv">2</span>,<span class="ch">&#39;b&#39;</span>), (<span class="dv">3</span>, <span class="ch">&#39;c&#39;</span>)]</code></pre></div>
</section>
<section id="adt-typage-polymorphique" class="level3">
<h3><em>ADT &amp; Typage polymorphique</em></h3>
<p>Algebraic Data Types.</p>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">data</span> <span class="dt">Void</span> <span class="fu">=</span> <span class="dt">Void</span> <span class="dt">Void</span> <span class="co">-- 0 valeur possible!</span>
<span class="kw">data</span> <span class="dt">Unit</span> <span class="fu">=</span> () <span class="co">-- 1 seule valeur possible</span>
<span class="kw">data</span> <span class="dt">Product</span> x y <span class="fu">=</span> <span class="dt">P</span> x y
<span class="kw">data</span> <span class="dt">Sum</span> x y <span class="fu">=</span> <span class="dt">S1</span> x <span class="fu">|</span> <span class="dt">S2</span> y</code></pre></div>
<p>Soit <code>#x</code> le nombre de valeurs possibles pour le type <code>x</code> alors:</p>
<ul>
<li><code>#(Product x y) = #x * #y</code></li>
<li><code>#(Sum x y) = #x + #y</code></li>
</ul>
</section>
<section id="adt-typage-polymorphique-inférence-de-type" class="level3">
<h3><em>ADT &amp; Typage polymorphique</em>: Inférence de type</h3>
<p>À partir de :</p>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell">zip [] _ <span class="fu">=</span> []
zip _ [] <span class="fu">=</span> []
zip (x<span class="fu">:</span>xs) (y<span class="fu">:</span>ys) <span class="fu">=</span> (x,y)<span class="fu">:</span>zip xs ys</code></pre></div>
<p>le compilateur peut déduire:</p>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell">zip<span class="ot"> ::</span> [a] <span class="ot">-&gt;</span> [b] <span class="ot">-&gt;</span> [(a,b)]</code></pre></div>
</section>
<section id="composabilité" class="level2">
<h2>Composabilité</h2>
<section id="composabilité-vs-modularité" class="level3">
<h3>Composabilité vs Modularité</h3>
<p>Modularité: soit un <code>a</code> et un <code>b</code>, je peux faire un <code>c</code>. ex: x un graphique, y une barre de menu =&gt; une page <code>let page = mkPage ( graphique, menu )</code></p>
<p>Composabilité: soit deux <code>a</code> je peux faire un autre <code>a</code>. ex: x un widget, y un widget =&gt; un widget <code>let page = x &lt;+&gt; y</code></p>
<p>Gain d'abstraction, moindre coût.</p>
<p><strong>Hypothèses fortes sur les <code>a</code></strong></p>
</section>
<section id="exemples" class="level3">
<h3>Exemples</h3>
<ul>
<li><strong>Semi-groupes</strong> 〈+〉</li>
<li><p><strong>Monoides</strong> 〈0,+〉</p></li>
<li><strong>Catégories</strong> 〈obj(C),hom(C),∘〉</li>
<li>Foncteurs <code>fmap</code> (<code>(&lt;$&gt;)</code>)</li>
<li>Foncteurs Applicatifs <code>ap</code> (<code>(&lt;*&gt;)</code>)</li>
<li>Monades <code>join</code></li>
<li>Traversables <code>map</code></li>
<li><p>Foldables <code>reduce</code></p></li>
</ul>
</section>
</section>
</section>
<section id="catégories-de-bugs-évités-avec-haskell" class="level1">
<h1>Catégories de bugs évités avec Haskell</h1>
<section id="real-productions-bugs" class="level3">
<h3>Real Productions Bugs™</h3>
<p>Bug vu des dizaines de fois en prod malgré:</p>
<ol>
<li>specifications fonctionnelles</li>
<li>spécifications techniques</li>
<li>tests unitaires</li>
<li>3 envs, dev, recette/staging/pre-prod, prod</li>
<li>Équipe de QA qui teste en recette</li>
</ol>
<p>Solutions simples.</p>
</section>
<section id="null-pointer-exception-erreur-classique-1" class="level3">
<h3>Null Pointer Exception: Erreur classique (1)</h3>
<div class="sourceCode"><pre class="sourceCode javascript"><code class="sourceCode javascript">int <span class="at">foo</span>( x ) <span class="op">{</span>
<span class="cf">return</span> x <span class="op">+</span> <span class="dv">1</span><span class="op">;</span>
<span class="op">}</span></code></pre></div>
</section>
<section id="null-pointer-exception-erreur-classique-2" class="level3">
<h3>Null Pointer Exception: Erreur classique (2)</h3>
<div class="sourceCode"><pre class="sourceCode javascript"><code class="sourceCode javascript">int <span class="at">foo</span>( x ) <span class="op">{</span>
...
<span class="kw">var</span> y <span class="op">=</span> <span class="at">do_shit_1</span>(x)<span class="op">;</span>
...
<span class="cf">return</span> <span class="at">do_shit_20</span>(x)
<span class="op">}</span>
...
<span class="kw">var</span> val <span class="op">=</span> <span class="at">foo</span>(<span class="dv">26</span>/<span class="dv">2334</span> <span class="op">-</span> <span class="va">Math</span>.<span class="at">sqrt</span>(<span class="dv">2</span>))<span class="op">;</span></code></pre></div>
<div class="incremental">
<pre><code>888888b. .d88888b. 888 888 888b d888 888 888 888 888 888
888 &quot;88b d88P&quot; &quot;Y88b 888 888 8888b d8888 888 888 888 888 888
888 .88P 888 888 888 888 88888b.d88888 888 888 888 888 888
8888888K. 888 888 888 888 888Y88888P888 888 888 888 888 888
888 &quot;Y88b 888 888 888 888 888 Y888P 888 888 888 888 888 888
888 888 888 888 888 888 888 Y8P 888 Y8P Y8P Y8P Y8P Y8P
888 d88P Y88b. .d88P Y88b. .d88P 888 &quot; 888 &quot; &quot; &quot; &quot; &quot;
8888888P&quot; &quot;Y88888P&quot; &quot;Y88888P&quot; 888 888 888 888 888 888 888
</code></pre>
<p><strong>Null Pointer Exception</strong></p>
</div>
</section>
<section id="null-pointer-exception-data-type-maybe" class="level3">
<h3>Null Pointer Exception: Data type <code>Maybe</code></h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">data</span> <span class="dt">Maybe</span> a <span class="fu">=</span> <span class="dt">Just</span> a <span class="fu">|</span> <span class="dt">Nothing</span>
<span class="fu">...</span>
<span class="ot">foo ::</span> <span class="dt">Maybe</span> a
<span class="fu">...</span>
myFunc x <span class="fu">=</span> <span class="kw">let</span> t <span class="fu">=</span> foo x <span class="kw">in</span>
<span class="kw">case</span> t <span class="kw">of</span>
<span class="dt">Just</span> someValue <span class="ot">-&gt;</span> doThingsWith someValue
<span class="dt">Nothing</span> <span class="ot">-&gt;</span> doThingWhenNothingIsReturned</code></pre></div>
<p>Le compilateur oblige à tenir compte des cas particuliers! Impossible d'oublier.</p>
</section>
<section id="null-pointer-excepton-etat" class="level3">
<h3>Null Pointer Excepton: Etat</h3>
<ul>
<li>Rendre impossibe de fabriquer un état qui devrait être impossible d'avoir.</li>
<li>Pour aller plus loin voir, FRP, CQRS/ES, Elm-architecture, etc...</li>
</ul>
</section>
<section id="erreur-due-à-une-typo" class="level3">
<h3>Erreur due à une typo</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">data</span> <span class="dt">Foo</span> x <span class="fu">=</span> <span class="dt">LongNameWithPossibleError</span> x
<span class="fu">...</span>
foo (<span class="dt">LongNameWithPosibleError</span> x) <span class="fu">=</span> <span class="fu">...</span></code></pre></div>
<p><strong>Erreur à la compilation</strong>: Le nom d'un champ n'est pas une string (voir les objets JSON).</p>
</section>
<section id="echange-de-parameters" class="level3">
<h3>Echange de parameters</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">data</span> <span class="dt">Personne</span> <span class="fu">=</span> <span class="dt">Personne</span> {<span class="ot"> uid ::</span> <span class="dt">Int</span>,<span class="ot"> age ::</span> <span class="dt">Int</span> }
<span class="ot">foo ::</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">Personne</span> <span class="co">-- ??? uid ou age?</span></code></pre></div>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="kw">newtype</span> <span class="dt">UID</span> <span class="fu">=</span> <span class="dt">UID</span> <span class="dt">Int</span> <span class="kw">deriving</span> (<span class="dt">Eq</span>)
<span class="kw">data</span> <span class="dt">Personne</span> <span class="fu">=</span> <span class="dt">Personne</span> {<span class="ot"> uid ::</span> <span class="dt">UID</span>,<span class="ot"> age ::</span> <span class="dt">Int</span> }
<span class="ot">foo ::</span> <span class="dt">UDI</span> <span class="ot">-&gt;</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">Personne</span> <span class="co">-- Impossible de confondre</span></code></pre></div>
</section>
<section id="changement-intempestif-dun-etat-global" class="level3">
<h3>Changement intempestif d'un Etat Global</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="ot">foo ::</span> <span class="dt">GlobalState</span> <span class="ot">-&gt;</span> x</code></pre></div>
<p><strong><code>foo</code> ne peut pas changer <code>GlobalState</code></strong></p>
</section>
</section>
<section id="organisation-du-code" class="level1">
<h1>Organisation du Code</h1>
<section id="grands-concepts" class="level3">
<h3>Grands Concepts</h3>
<p>Procedure vs Functions:</p>
<table>
<tbody>
<tr class="odd">
<td>Gestion d'une configuration globale</td>
</tr>
<tr class="even">
<td>Gestion d'un état global</td>
</tr>
<tr class="odd">
<td>Gestion des Erreurs</td>
</tr>
<tr class="even">
<td>Gestion des IO</td>
</tr>
</tbody>
</table>
</section>
<section id="monades" class="level3">
<h3>Monades</h3>
<p>Pour chacun de ces <em>problèmes</em> il existe une monade:</p>
<table>
<tbody>
<tr class="odd">
<td>Gestion d'une configuration globale</td>
<td><code>Reader</code></td>
</tr>
<tr class="even">
<td>Gestion d'un état global</td>
<td><code>State</code></td>
</tr>
<tr class="odd">
<td>Gestion des Erreurs</td>
<td><code>Either</code></td>
</tr>
<tr class="even">
<td>Gestion des IO</td>
<td><code>IO</code></td>
</tr>
</tbody>
</table>
</section>
<section id="effets" class="level3">
<h3>Effets</h3>
<p>Gestion de plusieurs Effets dans la même fonction:</p>
<ul>
<li>MTL</li>
<li>Free Monad</li>
<li>Freer Monad</li>
</ul>
<p>Idée: donner à certaines sous-fonction accès à une partie des effets seulement.</p>
<p>Par exemple:</p>
<ul>
<li>limiter une fonction à la lecture de la DB mais pas l'écriture.</li>
<li>limiter l'écriture à une seule table</li>
<li>interdire l'écriture de logs</li>
<li>interdire l'écriture sur le disque dur</li>
<li>etc...</li>
</ul>
</section>
<section id="exemple-dans-un-code-réel-1" class="level3">
<h3>Exemple dans un code réel (1)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="co">-- | ConsumerBot type, the main monad in which the bot code is written with.</span>
<span class="co">-- Provide config, state, logs and IO</span>
<span class="kw">type</span> <span class="dt">ConsumerBot</span> m a <span class="fu">=</span>
( <span class="dt">MonadState</span> <span class="dt">ConsumerState</span> m
, <span class="dt">MonadReader</span> <span class="dt">ConsumerConf</span> m
, <span class="dt">MonadLog</span> (<span class="dt">WithSeverity</span> <span class="dt">Doc</span>) m
, <span class="dt">MonadBaseControl</span> <span class="dt">IO</span> m
, <span class="dt">MonadSleep</span> m
, <span class="dt">MonadPubSub</span> m
, <span class="dt">MonadIO</span> m
) <span class="ot">=&gt;</span> m a</code></pre></div>
</section>
<section id="exemple-dans-un-code-réel-2" class="level3">
<h3>Exemple dans un code réel (2)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="ot">bot ::</span> <span class="dt">Manager</span>
<span class="ot">-&gt;</span> <span class="dt">RotatingLog</span>
<span class="ot">-&gt;</span> <span class="dt">Chan</span> <span class="dt">RedditComment</span>
<span class="ot">-&gt;</span> <span class="dt">TVar</span> <span class="dt">RedbotConfs</span>
<span class="ot">-&gt;</span> <span class="dt">Severity</span>
<span class="ot">-&gt;</span> <span class="dt">IO</span> ()
bot manager rotLog pubsub redbots minSeverity <span class="fu">=</span> <span class="kw">do</span>
TC.setDefaultPersist TC.filePersist
<span class="kw">let</span> conf <span class="fu">=</span> <span class="dt">ConsumerConf</span>
{ rhconf <span class="fu">=</span> <span class="dt">RedditHttpConf</span> { _connMgr <span class="fu">=</span> manager }
, commentStream <span class="fu">=</span> pubsub
}
void <span class="fu">$</span> autobot
<span class="fu">&amp;</span> flip runReaderT conf
<span class="fu">&amp;</span> flip runStateT (initState redbots)
<span class="fu">&amp;</span> flip runLoggingT (renderLog minSeverity rotLog)</code></pre></div>
</section>
<section id="règles-pragmatiques" class="level2">
<h2>Règles <strong>pragmatiques</strong></h2>
<section id="organisation-en-fonction-de-la-complexité" class="level3">
<h3>Organisation en fonction de la complexité</h3>
<blockquote>
<p>Make it work, make it right, make it fast</p>
</blockquote>
<ul>
<li>Simple: directement IO (YOLO!)</li>
<li>Medium: Haskell Design Patterns: The Handle Pattern: <a href="https://jaspervdj.be/posts/2018-03-08-handle-pattern.html" class="uri">https://jaspervdj.be/posts/2018-03-08-handle-pattern.html</a></li>
<li>Medium (bis): MTL / Free / Freeer / Effects...</li>
<li>Gros: Three Layer Haskell Cake: <a href="http://www.parsonsmatt.org/2018/03/22/three_layer_haskell_cake.html" class="uri">http://www.parsonsmatt.org/2018/03/22/three_layer_haskell_cake.html</a>
<ul>
<li>Layer 1: Imperatif</li>
<li>Orienté Objet (Level 2 / 2')</li>
<li>Fonctionnel</li>
</ul></li>
</ul>
</section>
<section id="couches" class="level3">
<h3>3 couches</h3>
<ul>
<li><strong>Imperatif</strong>: ReaderT IO
<ul>
<li>Insérer l'état dans une <code>TVar</code>, <code>MVar</code> ou <code>IORef</code> (concurrence)</li>
</ul></li>
<li><strong>Orienté Objet</strong>:
<ul>
<li>Handle / MTL / Free...</li>
<li>donner des access <code>UserDB</code>, <code>AccessTime</code>, <code>APIHTTP</code>...</li>
</ul></li>
<li><strong>Fonctionnel</strong>: Business Logic <code>f : Handlers -&gt; Inputs -&gt; Command</code></li>
</ul>
</section>
<section id="services-lib" class="level3">
<h3>Services / Lib</h3>
<p>Service: <code>init</code> / <code>start</code> / <code>close</code> + methodes... Lib: methodes sans état interne.</p>
</section>
</section>
</section>
<section id="conclusion" class="level1">
<h1>Conclusion</h1>
<section id="pourquoi-haskell-1" class="level3">
<h3>Pourquoi Haskell?</h3>
<ul>
<li>avantage compétitif: qualité x productivité hors norme</li>
<li>changera son approche de la programmation</li>
<li>les concepts appris sont utilisables dans tous les languages</li>
<li>permet d'aller là où aucun autre langage ne peut vous amener</li>
<li>Approfondissement sans fin:
<ul>
<li>Théorie: théorie des catégories, théorie des types homotopiques, etc...</li>
<li>Optim: compilateur</li>
<li>Qualité: tests, preuves</li>
<li>Organisation: capacité de contraindre de très haut vers très bas</li>
</ul></li>
</ul>
</section>
<section id="avantage-compétitif" class="level3">
<h3>Avantage compétitif</h3>
<ul>
<li>France, Europe du sud &amp; Functional Programming</li>
<li>Maintenance &gt;&gt; production d'un nouveau produit</li>
<li>Coût de la refactorisation</li>
<li>&quot;Make it work, Make it right, Make it fast&quot; moins cher.</li>
</ul>
</section>
</section>
<section id="appendix" class="level1">
<h1>Appendix</h1>
<section id="stm-exemple-concurrence-12" class="level3">
<h3>STM: Exemple (Concurrence) (1/2)</h3>
<div class="sourceCode"><pre class="sourceCode java"><code class="sourceCode java"><span class="kw">class</span> Account {
<span class="dt">float</span> balance;
<span class="kw">synchronized</span> <span class="dt">void</span> <span class="fu">deposit</span>(<span class="dt">float</span> amount){
balance += amount; }
<span class="kw">synchronized</span> <span class="dt">void</span> <span class="fu">withdraw</span>(<span class="dt">float</span> amount){
<span class="kw">if</span> (balance &lt; amount) <span class="kw">throw</span> <span class="kw">new</span> <span class="fu">OutOfMoneyError</span>();
balance -= amount; }
<span class="kw">synchronized</span> <span class="dt">void</span> <span class="fu">transfert</span>(Account other, <span class="dt">float</span> amount){
other.<span class="fu">withdraw</span>(amount);
<span class="kw">this</span>.<span class="fu">deposit</span>(amount); }
}</code></pre></div>
<p>Situation d'interblocage typique. (A transfert vers B et B vers A).</p>
</section>
<section id="stm-exemple-concurrence-22" class="level3">
<h3>STM: Exemple (Concurrence) (2/2)</h3>
<div class="sourceCode"><pre class="sourceCode haskell"><code class="sourceCode haskell"><span class="ot">deposit ::</span> <span class="dt">TVar</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">STM</span> ()
deposit acc n <span class="fu">=</span> <span class="kw">do</span>
bal <span class="ot">&lt;-</span> readTVar acc
writeTVar acc (bal <span class="fu">+</span> n)
<span class="ot">withdraw ::</span> <span class="dt">TVar</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">STM</span> ()
withdraw acc n <span class="fu">=</span> <span class="kw">do</span>
bal <span class="ot">&lt;-</span> readTVar acc
<span class="kw">if</span> bal <span class="fu">&lt;</span> n <span class="kw">then</span> retry
writeTVar acc (bal <span class="fu">-</span> n)
<span class="ot">transfer ::</span> <span class="dt">TVar</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">TVar</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">Int</span> <span class="ot">-&gt;</span> <span class="dt">STM</span> ()
transfer from to n <span class="fu">=</span> <span class="kw">do</span>
withdraw from n
deposit to n</code></pre></div>
<ul>
<li>pas de lock explicite, composition naturelle dans <code>transfer</code>.</li>
<li>si une des deux opération échoue toute la transaction échoue</li>
<li>le système de type force cette opération a être atomique: <code>atomically :: STM a -&gt; IO a</code></li>
</ul>
</section>
</section>
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