tag:blogger.com,1999:blog-69166608820636159942024-03-05T06:05:38.262-08:00LWHAnonymoushttp://www.blogger.com/profile/11152199289160652248noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-6916660882063615994.post-51497380914064181092015-05-31T06:37:00.001-07:002015-05-31T06:37:21.340-07:00<div style="text-align: justify;">
<a href="https://www.blogger.com/blogger.g?blogID=6916660882063615994" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a>Il existe de nombreuses version du langage <a href="http://fr.wikipedia.org/wiki/Logo_%28langage%29">Logo</a>. Depuis la toute première, qui fonctionnait sur un ordinateur <a href="http://fr.wikipedia.org/wiki/PDP-10">PDP 10</a> de la société Digital Equipment Corporation, jusqu'aux excellents <a href="http://www.softronix.com/logo.html">MSWLogo</a>, <a href="http://xlogo.tuxfamily.org/">Xlogo</a>, <a href="https://edu.kde.org/kturtle/">Kturtle</a> ou <a href="http://sourceforge.net/projects/logo3d/">Logo3D</a>. On trouve aussi quelques versions en Javascript comme <a href="http://logo.twentygototen.org/">Papert</a> et surtout celle développée par <a href="http://www.calormen.com/jslogo/">Joshua Bell</a>.</div>
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Toutes ces versions exploitent surtout l'aspect graphique de Logo. Elles ajoutent des primitives au langage (pour dessiner des cercles, des triangles) ou transforment la traditionnelle tortue en une créature étrange capable de se mouvoir dans toutes les directions (y compris en hauteur) et de tracer des lignes dans l'espace.</div>
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J'ai essayé, en développant mon <a href="http://lwh.free.fr/pages/prog/logo/logo.htm">interpréteur Logo</a> de rester aussi fidèle que possible aux versions originales du langage. Un dessin comme celui ci-dessous ne nécessite que quelques primitives de gestion de liste ou de déplacement de la tortue. </div>
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" 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Idem pour un arbre récursif tel que celui-ci :<br />
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" 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Cependant, je fais partie de ces types qui ont appris la programmation en faisant bouger des trucs à l'écran. Pour moi, l'intérêt de Lego réside moins dans sa capacité à faire de jolis dessins que dans celle de faire se mouvoir une tortue (ou du moins un engin qui ressemble vaguement à une tortue). Si je tape "AVANCE 10" je m'attends à voir la tortue se déplacer plus ou moins lentement de 10 pas et non se retrouver instantanément 10 pixels plus loin. Aussi, dans ma version de Logo, j'essaie de faire se comporter la tortue comme si elle était un petit automate.</div>
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Cela m'a ammené à faire quelques petites modifications dans le langage. Par exemple, si je tape "AVANCE 10" et qu'au bout de 5 pas la tortue rencontre un obstable, elle s'arrête. De plus, si je tape "AVANCE 10" et que la tortue fait 10 pas, elle me renvoie la valeur "10". Si elle n'a put faire que 6 pas, elle me renverra la valeur "6". On peut donc écrire des instructions du genre : "DONNE "dist AVANCE 10". </div>
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Une autre perspective offerte par cette manière de voir est de programmer une tortue en 3D, un peu comme dans un jeu vidéo. Ou bien d'ajouter sur la scène des objets fixes (comme des murs par exemple) ou mobile (comme des ballons ou même d'autres tortues) et faire interagir la tortue avec ces objets.</div>
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Pour l'instant le développement n'en est qu'au tout début mais j'espère avoir quelque chose de plus conséquent à proposer rapidement. La prochaine étape consistera à permettre l'ajout de "murs" pour la construction d'un labyrinthe.</div>
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Le code source est disponible sur <a href="https://github.com/LWH-21/LWLogo">Github</a>. Vous pouvez le modifier, le traduire, l'améliorer, le compléter... comme vous voulez.</div>
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Anonymoushttp://www.blogger.com/profile/11152199289160652248noreply@blogger.com3tag:blogger.com,1999:blog-6916660882063615994.post-35475229368947257662015-05-04T04:38:00.000-07:002015-05-04T04:38:04.188-07:00Oyelami's SortEn me documentant sur les algorithmes de tri, je suis tombé sur <a href="http://eprints.covenantuniversity.edu.ng/86/1/Olufemi.pdf">ce papier</a> (en anglais) du professeur Oyelami Olufemi Moses, de la Covenant University, au Nigéria.<br />
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Comme j'ai rarement l'occasion de voir des publications d'universitaires africains (d'habitude je lis surtout des articles d'universitaires américains ou européens) je me suis précipité dessus. Et comme en plus le professeur Oyelami Olufemi y décrit une nouvelle variante du<a href="http://lwh.free.fr/pages/algo/tri/tri_bulle.html"> tri bulle</a>, cela m'intéressait encore plus.<br />
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L'idée d'Oyelami est d'ajouter une phase de préparation à un classique tri cocktail. Durant cette phase, on compare le premier et le dernier élément de la liste à trier et on les permute si nécessaire. Puis on continue avec le second et l'avant-dernier. Puis le troisième et l'antépénultième... A la fin de cette phase, on embraye sur un tri cocktail.<br />
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Cette amélioration va, certes, permettre aux petits éléments qui se trouvent en fin de liste de migrer plus rapidement vers le début. De même, une liste triée en ordre inverse sera triée en une seule passe. Mais en dehors de ce cas, les performances de ce tri restent bien loin de celles du tri à peigne.<br />
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Donc, à l'arrivée, je suis plutôt déçu. Vous pourrez voir le détail de ce tri <a href="http://lwh.free.fr/pages/algo/tri/tri_oyelami.html">ici</a>.<br />
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Anonymoushttp://www.blogger.com/profile/11152199289160652248noreply@blogger.com0tag:blogger.com,1999:blog-6916660882063615994.post-74878829706512547702015-04-25T09:49:00.000-07:002015-04-25T09:49:47.338-07:00Le tri à peigne ou tri de Dobosiewicz<div abp="754">
<span abp="755" id="result_box" lang="fr"><span abp="756" title="In 1973, Donald Ervin Knuth proposed this algorithm in the exercise 5.2.1-40 of his work "The Art of Computer Programming", vol.">
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<div abp="757" style="text-align: justify;">
<div abp="758">
On m'a toujours dit (et j'ai toujours bêtement répété) que le <a href="http://lwh.free.fr/pages/algo/tri/tri_bulle.html">tri bulle</a> était l'un des pires algorithmes qui soit. C'est sûr qu'il est très lent (surtout pour sa version de base qui se limite à deux boucles imbriquées) et qu'il n'a rien de particulièrement excitant à coder. Rien à voir en tout cas avec l'estimable <a href="http://lwh.free.fr/pages/algo/tri/tri_rapide.html">tri rapide</a>.<br />
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C'est sûr que cet algorithme ne donne pas vraiment envie :<br />
<span class="kw1"> </span><br />
<span style="font-family: "Courier New",Courier,monospace;"><b><span class="kw1">PROCEDURE</span> </b>tri_bulle <span class="br0">(</span> <span class="kw4">TABLEAU</span> a<span class="br0">[</span><span class="nu0">1</span><span class="sy0">:</span>n<span class="br0">]</span><span class="br0">)</span></span><br />
<br />
<div class="code" id="algo">
<div class="de1">
<b><span style="font-family: "Courier New",Courier,monospace;"><span class="kw1">REPETER</span></span></b></div>
<div class="de1">
<span style="font-family: "Courier New",Courier,monospace;"> permut <span class="sy0">=</span> <b><span class="kw2">FAUX</span><span class="kw1"> </span></b></span></div>
<div class="de2">
<span style="font-family: "Courier New",Courier,monospace;"><span class="kw1"><span style="font-family: "Courier New",Courier,monospace;"> </span><b>POUR</b></span> <b>i </b><span class="kw1"><b> VARIANT DE</b> </span> <span class="nu0">1</span> <b><span class="kw1">A</span></b> n<span class="sy0"> - </span><span class="nu0">1</span> </span><b><span style="font-family: "Courier New",Courier,monospace;"><span class="kw1">FAIRE</span></span></b></div>
<div class="de2">
<span style="font-family: "Courier New",Courier,monospace;"><span class="kw1"><span style="font-family: "Courier New",Courier,monospace;"> </span></span></span><span style="font-family: "Courier New",Courier,monospace;"><span class="kw1"><span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"> </span></span><b>SI</b></span><b> </b>a<span class="br0">[</span>i<span class="br0">]</span> > a<span class="br0">[</span>i<span class="sy0">+</span><span class="nu0">1</span><span class="br0">]</span> <b><span class="kw1">ALORS</span></b></span></div>
<div class="de1">
<div class="de1">
<span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"> </span></span><span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"> </span></span></span><span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"><span style="font-family: "Courier New",Courier,monospace;"> </span></span></span>echanger a<span class="br0">[</span>i<span class="br0">]</span><b> <span class="kw1"> ET</span> </b>a<span class="br0">[</span>i<span class="sy0">+</span><span class="nu0">1</span><span class="br0">]</span></span></div>
<div class="de1">
<span style="font-family: "Courier New",Courier,monospace;"> permut <span class="sy0">=</span> <b><span class="kw2">VRAI</span></b></span></div>
<div class="de1">
<span style="font-family: "Courier New",Courier,monospace;"> <b><span class="kw1">FIN SI</span></b></span></div>
<div class="de1">
<span style="font-family: "Courier New",Courier,monospace;"> <b><span class="kw1">FIN POUR</span></b> <span class="nu0"><br /></span></span></div>
<div class="de2">
<span style="font-family: "Courier New",Courier,monospace;"><b><span class="kw1">TANT QUE</span></b> permut <span class="sy0">=</span> <b><span class="kw2">VRAI</span></b></span></div>
<span class="kw1"></span> </div>
</div>
<br />
Pourtant, avec quelques petites modifications, toutes simples, on obtient quelque chose de bien plus performant, avec des performances approchant celles du tri rapide :<br />
<br />
<div class="code" id="algo">
<div class="de1">
<b><span class="kw1">PROCEDURE</span> </b>tri_peigne <span class="br0">(</span> <span class="kw4">TABLEAU</span> a<span class="br0">[</span><span class="nu0">1</span><span class="sy0">:</span>n<span class="br0">]</span><span class="br0">)</span></div>
<div class="de1">
<span style="background-color: white;">gap <span class="sy0">=</span> <span class="nu0">n</span></span></div>
<div class="de1">
<span style="background-color: white;"><b><span class="kw1">REPETER</span></b></span></div>
<div class="de1">
<span style="background-color: white;"> permut <span class="sy0">=</span> <b><span class="kw2">FAUX</span></b></span></div>
<div class="de1">
<span style="background-color: white;"> gap <span class="sy0">=</span> gap / 1.3 </span></div>
<div class="de2">
<span style="background-color: white;"> <b><span class="kw1">SI</span> </b>gap < <span class="nu0">1</span><span class="kw1"> <b>ALORS</b></span><b> </b>gap <span class="sy0"> = </span><span class="nu0">1</span></span></div>
<div class="de1">
<span style="background-color: white;"> <b><span class="kw1">POUR</span> </b>i <span class="kw1"> <b>VARIANT DE</b> </span> <span class="nu0">1</span> <b><span class="kw1">A</span> </b>n <span class="kw1">A<b>VEC UN PAS</b></span> gap <b><span class="kw1">FAIRE</span></b></span></div>
<div class="de2">
<span style="background-color: white;"> <b><span class="kw1">SI</span> </b>a<span class="br0">[</span>i<span class="br0">]</span> > a<span class="br0">[</span>i<span class="sy0">+</span>gap<span class="br0">]</span> <b><span class="kw1">ALORS</span></b></span></div>
<div class="de1">
<span style="background-color: white;"> echanger a<span class="br0">[</span>i<span class="br0">]</span> et a<span class="br0">[</span>i<span class="sy0">+</span>gap<span class="br0">]</span></span></div>
<div class="de1">
<span style="background-color: white;"> permut <span class="sy0">=</span> <span class="kw2">VRAI</span></span></div>
<div class="de1">
<span style="background-color: white;"> <b><span class="kw1">FIN SI</span></b></span></div>
<div class="de1">
<span style="background-color: white;"><b> <span class="kw1">FIN POUR</span></b></span></div>
<div class="de2">
<span style="background-color: white;"><b><span class="kw1">TANT QUE</span></b> permut <span class="sy0">=</span> <b><span class="kw2">VRAI </span><span class="kw1">OU </span></b>gap > <span class="nu0">1</span></span></div>
</div>
<br />
Le principe de cet algorithme fut exposé pour la première fois en 1973 par Donald Knuth dans un exercice de son livre "<i abp="759">The Art of Computer
Programming</i>", vol. 3, <i>Sorting and Searching</i>.
L'exercice consistait à construire une variante du <a href="http://lwh.free.fr/pages/algo/tri/tri_shell.html">tri de Shell</a> en en simplifiant la boucle interne.<br />
<br /></div>
</div>
<div abp="760" style="text-align: justify;">
<div abp="761">
</div>
</div>
<div abp="787" style="text-align: justify;">
<div abp="788">
<span abp="789" id="result_box" lang="fr"><span abp="790" title="He just proposed the new algorithm as a variation of the diminishing increment sort, which is how he referred to Shell's algorithm.
">Un peu plus tard, e</span><span abp="792" title="In 1980, Wlodzimierz Dobosiewicz proposed it again in his brief paper "An Efficient Variation of Bubble Sort", Information Processing Letters, vol.">n
1980, Wlodzimierz Dobosiewicz écrivit un court article intitulé "</span></span><i abp="793">An Efficient Variation of Bubble Sort</i>", Information
Processing Letters, vol. 11, num. 1, 1980. <span abp="794" id="result_box" lang="fr"><span abp="795" title="1, 1980. In it he wrote literally "Bubble sort can be improved in yet another way, which is similar to Shell's version of the insertion sort.".">On peut y lire : "</span></span><i abp="796">Bubble sort can be improved in yet another way, which is similar
to Shell’s version of the insertion sort</i>" (le tri à bulle peut être amélioré d'une manière similaire à celle appliquée par Shell au tri par insertion).<br />
<br />
L'idée était de ne plus comparer uniquement des éléments adjacents comme dans un tri bulle classique mais de commencer par un intervalle plus grand puis de réduire à chaque boucle cet intervalle. Avec cette méthode les éléments étaient déplacés plus rapidement vers une position proche de leur place définitive, puis, à mesure que l'intervalle se rapproche de un, ils se rapprochent de leur position définitive. Le problème du tri bulle ce sont effectivement les "tortues", ces éléments en fin de tableau qui doivent rejoindre le début du tableau lors du tri. La méthode de <span abp="803" id="result_box" lang="fr"><span abp="804" title="Dobosiewicz proposed starting with N/2 and multiplying successively by 3/4 in order to calculate the increments, which equates to dividing by 1.333... For the last step he proposed bubble sort instead of insertion sort.">Dobosiewicz permet de les déplacer bien plus rapidement.</span></span></div>
</div>
<div abp="797" style="text-align: justify;">
<div abp="798">
<br /></div>
</div>
<div abp="799" style="text-align: justify;">
<div abp="800">
<span abp="803" id="result_box" lang="fr"><span abp="804" title="Dobosiewicz proposed starting with N/2 and multiplying successively by 3/4 in order to calculate the increments, which equates to dividing by 1.333... For the last step he proposed bubble sort instead of insertion sort.">Dobosiewicz suggérait de commencer par un intervalle de N/2 (N étant la taille de la liste à trier) et de multiplier l'intervalle par 3/4
pour calculer les suivants (ce qui équivaut à une bête division par
1.3), puis de terminer avec un intervalle de un, donc par un tri bulle classique. </span></span></div>
</div>
<br abp="828" />
<div abp="824" style="text-align: justify;">
<div abp="825">
<span abp="826" id="result_box" lang="fr"><span abp="829" title="In 1991, Stephen Lacey and Richard Box proposed the same algorithm under the name "Combsort" in their article "A fast, easy sort" Byte, vol.">En
1991, Stephen Lacey et Richard Box décrivirent le même algorithme sous le
nom "<i>Combsort</i>" (tri à peigne) dans leur article "<i>A fast, easy sort</i>" Byte, vol. </span><span abp="830" title="16, issue 4, April 1991. They opted for the value 1.3 as ideal shrink factor.">16, numéro 4, Avril 1991. Ils optèrent pour la valeur 1.3 comme facteur de réduction idéal. </span><span abp="831" title="They also experimented with non-geometric progressions, discarding them as inefficient.">Ils firent également quelques expériences avec des progressions non géométriques avant de les abandonner. Il semble que le facteur de réduction idéal se situe entre 1.25 et 1.35.</span></span></div>
</div>
<div abp="832">
<span abp="833" lang="fr"><br abp="834" /></span></div>
<div abp="835" style="text-align: justify;">
Lacey et Box suggérèrent également de forcer, lors des dernières passes, la séquence d'intervalles 11, 8, 6, 4, 3, 2, 1. Cette séquence favorise la probabilité de trier plus rapidement la totalité de la séquence. La variante de l'algorithme implémentant cette modification est appelée "COMB11".<br />
<br />
Une démonstration de l'algorithme ainsi que son code en Pascal, Caml, Python et C est disponible <a href="http://lwh.free.fr/pages/algo/tri/tri_peigne.html">ici</a>. En voici un petit aperçu :<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBBnHoBhq5b2TdZ-vYvKye_v5DLse9minDSIYM1Ik-I1TSlA6hUJdmxrdOeBi3_Oi4rPUumHXKh79q8xfmWybl8MkUdqe8TBkprvJ-_u2tGXTPXIpsNGyhtrB5dNni6WTmBEJRRVfiarA/s1600/canvas.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBBnHoBhq5b2TdZ-vYvKye_v5DLse9minDSIYM1Ik-I1TSlA6hUJdmxrdOeBi3_Oi4rPUumHXKh79q8xfmWybl8MkUdqe8TBkprvJ-_u2tGXTPXIpsNGyhtrB5dNni6WTmBEJRRVfiarA/s1600/canvas.png" height="88" width="400" /></a></div>
<br /></div>
<div abp="835">
<div style="text-align: justify;">
Une très importante partie de cet article est directement inspirée (voire traduite) de <a href="http://comocomocomo.users.sourceforge.net/index_ES.html">Martín Knoblauch Revuelta</a>, professeur à l'université de Alcalá de Henares, près de Madrid.</div>
<br /></div>
<div abp="835">
<br /></div>
Anonymoushttp://www.blogger.com/profile/11152199289160652248noreply@blogger.com0tag:blogger.com,1999:blog-6916660882063615994.post-19049691851870626672015-04-19T07:22:00.001-07:002015-04-19T07:24:04.072-07:00Comparatif des algorithmes de triComme j'ai un peu de mal dans les calculs de complexité en moyenne, je me suis bricolé un <a href="http://lwh.free.fr/pages/algo/tri/comparaison_tri.html">outil permettant de comparer les algorithmes de tri</a>. Il ressemble à ça :<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnuA8TMbt-Jf-AaeMlBlfPlkF5gd4o9fz2EImb-OyVhY1V409Gb_ZG_LNk1dMpcpFgepD0SmmAYeOdtRZNoSOQfDiZMHhjKZXLuAl1yq-B_m7WPKKpjYuuDrV1nCB3fiF7t_9UmwUT8Nk/s1600/comparatif.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnuA8TMbt-Jf-AaeMlBlfPlkF5gd4o9fz2EImb-OyVhY1V409Gb_ZG_LNk1dMpcpFgepD0SmmAYeOdtRZNoSOQfDiZMHhjKZXLuAl1yq-B_m7WPKKpjYuuDrV1nCB3fiF7t_9UmwUT8Nk/s1600/comparatif.png" height="320" width="320" /></a></div>
<br />
En gros, c'est un outil tout simple qui génère des suites aléatoires de nombres (entre 1 et 10000) puis les trie en utilisant divers algorithmes. Pendant le tri, il compte le nombre de comparaisons et d'échanges et en fait ensuite un graphique.<br />
<br />
L'outil est écrit uniquement en JavaScript.Anonymoushttp://www.blogger.com/profile/11152199289160652248noreply@blogger.com0tag:blogger.com,1999:blog-6916660882063615994.post-77196956029638344932015-04-18T00:40:00.001-07:002015-04-22T06:23:08.954-07:00<style type="text/css"></style>
<br />
<div align="justify">
Je me suis aperçu, l'autre jour, que je n'avais
pas mis à jour ce <a href="http://lwh.free.fr/index.html">site</a> depuis... 2003. Voilà qui commence à faire
un peu long. Et qui trahit tout de même un léger manque de
réactivité...
</div>
<div align="justify">
Alors, je me suis dis qu'il était grand temps de
faire quelque chose pour mon karma et, partant, de retoucher ces
pages perso. Leur présentation était vieillotte (et même
franchement dépassée), les applets ne fonctionnaient plus...</div>
<div align="justify">
Je me suis donc mis au travail. J'ai commencé par
revoir le design qui, s'il était dans le ton des années 2000, fait
franchement ridicule aujourd'hui. En même temps je ne prétend pas
non plus être à la page : la conception de sites web n'est pas
mon métier, alors bon, je fais au mieux.</div>
<div align="justify">
Ces pages perso me servaient, au départ, à
déposer mes supports de cours pour qu'ils soient accessibles à
tous. Avec le temps j'y ai ajouté des démonstrations d'algorithmes,
des applets java, des sharewares... enfin un peu tout et n'importe
quoi, en fonction de mes centres d'intérêt du moment. En les
revoyant aujourd'hui, j'ai parfois un peu honte des bêtises que j'ai
pu y écrire... Et parfois, j'y redécouvre des choses qui,
finalement, n'étaient pas si mauvaises. J'ai même eu la surprise de
voir certaines de mes pages copiées intégralement sur d'autre
sites...</div>
<div align="justify">
Pour ce qui est des applets Java, je préfère les
remplacer par des animations JavaScript/Html5. La société Sun, qui
ne semble pas être capable de sécuriser Java, impose la signature
des applets. Même pour celles qui – comme les miennes – ne font
qu'afficher des informations. Comme je n'ai pas l'intention de
dépenser quelques 200 € par an pour un certificat, je préfère
laisser tomber. D'autant que l'avenir de Java me semble bien
compromis. Et que le support des canvas, de Webgl et du format svg
par les navigateurs modernes ouvre des possibilités bien plus
intéressantes que ce que permettent les applets Java.</div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
Bon,
il me reste pas mal de boulot pour faire de ce truc quelque chose d'à
peu-près présentable, mais je garde espoir.
</div>
Anonymoushttp://www.blogger.com/profile/11152199289160652248noreply@blogger.com0