{"id":593,"date":"2018-09-03T11:31:12","date_gmt":"2018-09-03T09:31:12","guid":{"rendered":"https:\/\/www.mathweb.fr\/euclide\/?p=593"},"modified":"2021-10-26T17:16:06","modified_gmt":"2021-10-26T15:16:06","slug":"creer-et-inserer-directement-des-graphiques-3d-avec-pythontex-sous-latex","status":"publish","type":"post","link":"https:\/\/www.mathweb.fr\/euclide\/2018\/09\/03\/creer-et-inserer-directement-des-graphiques-3d-avec-pythontex-sous-latex\/","title":{"rendered":"Graphiques 3D avec Pythontex sous LaTeX"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Graphiques 3D et PythonTeX : la prise en main et l&rsquo;installation de Pythontex peut s\u2019av\u00e9rer assez fastidieuse quand on s&rsquo;y met. Par exp\u00e9rience, je peux vous dire que la t\u00e2che est encore plus difficile sous Ubuntu quand on est novice (et je le suis !). C&rsquo;est une des raisons pour lesquelles je n&rsquo;ai pas souhait\u00e9 rest\u00e9 sous Ubuntu pour me remettre \u00e0 Windows.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Une fois Pythontex install\u00e9, je pense qu&rsquo;il est l\u00e9gitime de vouloir l&rsquo;exploiter \u00e0 fond, y compris pour faire des choses qu&rsquo;avec \\(\\LaTeX\\) seul il est difficile de faire. Parmi ces choses,il y a les graphiques, et plus particuli\u00e8rement les graphiques 3D (car les courbes 2D, PGF sait le faire facilement).<\/p>\n\n\n\n<!--more-->\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Au menu sur cette page...<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.mathweb.fr\/euclide\/2018\/09\/03\/creer-et-inserer-directement-des-graphiques-3d-avec-pythontex-sous-latex\/#Graphiques_3D_et_PythonTeX_un_code_Python\" >Graphiques 3D et PythonTeX: un code Python<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.mathweb.fr\/euclide\/2018\/09\/03\/creer-et-inserer-directement-des-graphiques-3d-avec-pythontex-sous-latex\/#Inserer_limage_dans_un_fichier_LaTeX\" >Ins\u00e9rer l&rsquo;image dans un fichier \\(\\LaTeX\\)<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Graphiques_3D_et_PythonTeX_un_code_Python\"><\/span>Graphiques 3D et PythonTeX: un code Python<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Avant tout, il faut savoir comment dessiner avec Python. Il est n\u00e9cessaire pour cela d&rsquo;utiliser le module <em>matplotlib<\/em>. Et pour une exploitation optimale, les modules&nbsp;<em>numpy<\/em> et&nbsp;<em>scipy<\/em> seront aussi utiles (elles contiennent des fonctions math\u00e9matiques).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pour installer ces modules, il faut aller dans le terminale de son syst\u00e8me d&rsquo;exploitation et tapez les lignes :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"shell\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"false\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">pip install numpy\npip install scipy\npip install matplotlib<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Pour voir si tout est bien install\u00e9, on pourra compiler le code suivant :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">from pylab import *\nfrom mpl_toolkits.mplot3d import Axes3D\nax = Axes3D(figure())\nX = np.arange(-4, 4, 0.25)\nY = np.arange(-4, 4, 0.25)\nX, Y = np.meshgrid(X, Y)\nR = np.sqrt(X**2 + Y**2)\nZ = np.sin(R)\nax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap='cool')\nax.plot_surface(X, Y, R, rstride=1, cstride=1, cmap='hot')\nshow()<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">On devrait voir appara\u00eetre une fen\u00eatre contenant ceci :<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/surface-3d-python.png\" data-fancybox=\"gallery\"><img loading=\"lazy\" decoding=\"async\" width=\"535\" height=\"449\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/surface-3d-python.png\" alt=\"graphiques 3D et PythonTeX\" class=\"wp-image-598\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/surface-3d-python.png 535w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/surface-3d-python-300x252.png 300w\" sizes=\"auto, (max-width: 535px) 100vw, 535px\" \/><\/a><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Inserer_limage_dans_un_fichier_LaTeX\"><\/span>Ins\u00e9rer l&rsquo;image dans un fichier \\(\\LaTeX\\)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">La premi\u00e8re m\u00e9thode consiste \u00e0 exporter ce dernier r\u00e9sultat au format PNG par exemple.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On peut le faire automatiquement avec la ligne :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"false\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">savefig('macourbe.png')<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">mise en dernier dans le code Python pr\u00e9c\u00e9dent.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mais il serait tout de m\u00eame plus pratique de ne passer que pas une compilation \\(\\LaTeX\\) non ?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si on passe par Pythontex avec le code suivant :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\\begin{pycode}\nfrom pylab import *\nfrom mpl_toolkits.mplot3d import Axes3D\nax = Axes3D(figure())\nX = np.arange(-1, 1, 0.025)\nY = np.arange(-1, 1, 0.025)\nX, Y = np.meshgrid(X, Y)\nR = np.cos(X**2 + Y**2)\nax.plot_surface(X, Y, R, rstride=1, cstride=1, cmap='bone')\nsavefig('macourbe.png', bbox_inches='tight')\n\\end{pycode}\n\\includegraphics{macourbe.png}<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">on obtient une erreur car \u00ab\u00a0macourbe.png\u00a0\u00bb n&rsquo;existe pas encore lors de la premi\u00e8re double-compilation (pour utiliser Pythontex, il faut 2 compilations s\u00e9par\u00e9es par un appel \u00e0 un fichier Python).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">J&rsquo;ai donc eu l&rsquo;id\u00e9e (mais je ne dois pas \u00eatre le premier) \u00e0 ins\u00e9rer un bool\u00e9en dans le code \\(\\LaTeX\\) et de d\u00e9finir une macro compl\u00e9mentaire.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En en-t\u00eate du document, je mets :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\\newif\\ifpythontex\n\\newcommand{\\includegraphicx}[2][]{%\n\\ifpythontex\n\\includegraphics[#1]{#2}\n\\fi\n}\n\\pythontexfalse<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Je d\u00e9finis donc ici la macro \u00ab\u00a0\\includegraphicx\u00a0\u00bb (notez le \u00ab\u00a0x\u00a0\u00bb \u00e0 la place du \u00ab\u00a0s\u00a0\u00bb \u00e0 la fin) qui affiche l&rsquo;image si le bool\u00e9en&nbsp;<em>pythontex<\/em> est vrai.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Lors de la premi\u00e8re double-compilation, je laisse ce bool\u00e9en \u00e0&nbsp;<em>false<\/em>. Cette double-compilation cr\u00e9era l&rsquo;image et ensuite, je mets le bool\u00e9en \u00e0&nbsp;<em>true<\/em> et je compile \u00e0 nouveau&#8230; et le tour est jou\u00e9 !<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bien s\u00fbr, il faut utiliser la nouvelle macro :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\\includegraphicx[scale=0.75]{macourbe.png}<\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Pour conna\u00eetre les options de la commande <em>savefig<\/em>&nbsp;de <em>matplotlib<\/em>, on peut regarder la page suivante :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/matplotlib.org\/api\/_as_gen\/matplotlib.pyplot.savefig.html\">https:\/\/matplotlib.org\/api\/_as_gen\/matplotlib.pyplot.savefig.html<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Juste pour le fun, voici ce que donne :<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">from pylab import *\nfrom mpl_toolkits.mplot3d import Axes3D\n\nax = Axes3D(figure())\nX = np.arange(-1, 1, 0.025)\nY = np.arange(-1, 1, 0.025)\nX, Y = np.meshgrid(X, Y)\nR = np.cos(X**2 + Y**2)\nax.plot_surface(X, Y, R, rstride=1, cstride=1, cmap='bone')\nsavefig('19.png',transparent='true')<\/pre>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/19.png\" data-fancybox=\"gallery\"><img loading=\"lazy\" decoding=\"async\" width=\"640\" height=\"480\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/19.png\" alt=\"\" class=\"wp-image-602\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/19.png 640w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/19-300x225.png 300w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2018\/09\/19-600x450.png 600w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Graphiques 3D et PythonTeX : la prise en main et l&rsquo;installation de Pythontex peut s\u2019av\u00e9rer assez fastidieuse quand on s&rsquo;y met. Par exp\u00e9rience, je peux vous dire que la t\u00e2che est encore plus difficile sous Ubuntu quand on est novice (et je le suis !). C&rsquo;est une des raisons pour [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3686,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,5],"tags":[55,56],"class_list":["post-593","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-latex","category-python","tag-booleen","tag-macro"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Graphiques 3D avec Pythontex sous LaTeX - Mathweb.fr<\/title>\n<meta name=\"description\" content=\"Nous allons voir dans cet article comment ins\u00e9rer des graphiques 3D dans un document LaTeX \u00e0 l&#039;aide de PythonTeX, donc obtenu avec Python.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.mathweb.fr\/euclide\/2018\/09\/03\/creer-et-inserer-directement-des-graphiques-3d-avec-pythontex-sous-latex\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graphiques 3D avec Pythontex sous LaTeX - 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