{ "cells": [ { "cell_type": "markdown", "id": "49f65f81", "metadata": {}, "source": [ "# Tracer des graphiques\n", "\n", "Nous utiliserons la librairie matplotlib. La page [https://matplotlib.org/stable/gallery/index.html](https://matplotlib.org/stable/gallery/index.html) contient de nombreux exemples.\n", "\n", "Les fonctions sont dans le module ``matplotlib.pyplot`` qu'il est courant d'importer sous le nom de ``plt``.\n", "\n", "## Exemples\n", "\n", "Le plus simple est d'étudier des exemples. \n", "\n", "### Graphiques simples" ] }, { "cell_type": "code", "execution_count": 37, "id": "99d8262c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "X = np.linspace(-2,2, 100)\n", "Y = np.sin(X)**2*np.exp(-X**2)\n", "Y_noise = Y + .1*(np.random.rand(len(X))-0.5)\n" ] }, { "cell_type": "code", "execution_count": 38, "id": "5a96e759", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10, 6))\n", "\n", "plt.plot(X,Y, label=u\"Theory\")\n", "plt.plot(X,Y_noise,'o', label=u\"Experiment\")\n", "plt.xlabel(r'Voltage [V]')\n", "plt.ylabel(r'$\\zeta$ [m]')\n", "plt.title(\"Nonsense graph\")\n", "plt.legend(loc='upper left')\n", "plt.grid(True)\n", "\n", "plt.savefig('mafigure.pdf')" ] }, { "cell_type": "markdown", "id": "6d7bd37c", "metadata": {}, "source": [ "Il existe deux syntaxes pour matplotlib, la syntaxe ci-dessus à base de fonctions (syntaxe historiquement utilisée par beaucoup de personnes) et une syntaxe utilisant sur des objets. L'idée est d'utiliser des méthodes des objets figure ainsi que des graphiques (appelé ``axes``, il peut y avoir plusieurs ``axes``, à ne pas confondre avec ``axis`` qui sont les abscisses et ordonnées).\n", "\n", "Voici le même exemple en orienté objet: " ] }, { "cell_type": "code", "execution_count": 39, "id": "51ef605b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.pyplot import figure\n", "\n", "fig = figure(figsize=(10, 6))\n", "ax = fig.subplots(1, 1) # Création d'un graphique\n", "\n", "ax.plot(X, Y, label=u\"Theory\")\n", "ax.plot(X, Y_noise, 'o', label=u\"Experiment\")\n", "ax.set_xlabel(r'Voltage [V]')\n", "ax.set_ylabel(r'$\\zeta$ [m]')\n", "ax.set_title(\"Nonsense graph\")\n", "ax.legend(loc='upper left')\n", "ax.grid(True)" ] }, { "cell_type": "markdown", "id": "1239eed6", "metadata": {}, "source": [ "Le syntaxe orientée objet est plus simple lorsque l'on veut mettre plusieurs graphs dans une même figure. " ] }, { "cell_type": "markdown", "id": "7122589d", "metadata": {}, "source": [ "### Graphiques multiples" ] }, { "cell_type": "code", "execution_count": 40, "id": "f6512970", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Pression [mbar]')" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jours = np.array([1, 2, 3, 4, 5, 6])\n", "temperature = np.array([20, 21, 23, 21, 19, 19])\n", "pression = np.array([1015, 1020, 1021, 1023, 1025, 1024])\n", "\n", "plt.figure()\n", "plt.subplot(2, 1, 1)\n", "plt.plot(jours, temperature)\n", "plt.ylabel('Temperature [°]')\n", "plt.subplot(2, 1, 2)\n", "plt.plot(jours, pression)\n", "\n", "plt.xlabel('Jour')\n", "plt.ylabel('Pression [mbar]')" ] }, { "cell_type": "code", "execution_count": 41, "id": "960e5d19", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Pression [mbar]')" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NzmBQ57b2R8EwqruDD6eM5vbpy7jv7ZV8sbGURyf2IykmMtChmSDmrzW4u6vq+0AFMMbX9zCHKqus5b3l25mZV8TKogoiwoTTeqby0HkZjO2VRnSEPeJiDpWaGM3LVw/l2c838vjH61hZWMHTkwYxoHPbQIdmgpS/xiwWqepQn1/4GIT6mEVtQyPzCop5a2kRn64tpsGp9O2UxMRBGZw/sCMOK/RnvLR0azmTpy1j194a7hmfY/W/WrFATJ39CxCJa0ZU0zW483x+syMIxWShqizbtoeZeUXMWrGdPdX1pCVGc+GgTkzMzbDBSnPc9lTXcfdbK/j4m12M6ZnK45cOJDk+KtBhmWYWiGQx7zCb1Z6zOD7b9+zn7fwiZuQVsqmkiuiIMH7Ypz0XDc5g5EkpVjDO+ISq8spXW3nkgzW0i4/kycsHMbxrSqDDMs2o2ZNFMGjpyaKqtoGPVu1kRl4hX20qQxWGZidzUW4nzu7XgUQbjDR+sqqoglun5bO1rIrJ47pz69jutshVKxGIlkU68Hugo6qeJSK9gRGq+qLPb3YELTFZNDqVhZvKmLG0kA9X7WR/fSNdUuKYOCiDibmd6Jxs011N86isbeDBd1YxM7+I4V2TefLyQaQn2fK5oS4QyeJD4B/A/ao6QEQigHxV7efzmx1BS0oWG4ormZlXyNv5ReyoqCExJoJz+3fkotxODO7Szqa7moB5a2khv3pnFbFR4Tx+6QDG9EwLdEjGjwLxUJ5DVaeLyL0AqtogIlb2sondVXXMWrGdGXlFLN+2h/Aw4QfdHdx/Ti9O75VOTKRNdzWBd/HgDAZ2bsMtr+Vz9T8Wc/0PunLnmT2JirBxstbGX8miSkRSAAUQkeG4nrlo1eoanHy6tpgZeYXMLSimvlHp1SGJB87pxfkDO5KWaM18E3y6pSXyzs0j+d0H3/D855v4enM5UycNsm7RVsZf3VC5uJ7c7gusAlKBi1V1hc9vdgTB0g2lqqwsqmBmXhHvLd9OeVUdjoRoJgzsyMTcDHp3TAp0iMZ4bfbKHdwzw/XP+A8X9efsfh0CHJHxpYDMhnKPU/QEBFirqvUeTvGpQCeLHRX7eSd/OzPzCllfXElURBhn9k7notwMRnd32HRX02JtK6/m1mn5LNu2hyuHZfKrc3tbt2mIaPYxCxGJAW4CRuHqipovIs+qao0/7hcsqusa+M/qnczMK2LBhlJUYUiXdjw6sR9n9+tAm1ib7mpavs7Jcbx5wwj+/J+1PPf5JpZu3c3UKwbRLc0eCg1l/uqGmg7sA/7t3nQF0FZVL/H5zY6guVoWTqfy9eZyZuQV8uHKHVTVNZLRLpaJuRlMHNSJLFsjwoSweWuLuWP6cvbXNfLwBX24ZHCGzd5rwQIxdfYbVe3taZs/+TtZbCqpdC8iVETRnv0kREdwTr8OTMztxMlZyVZbx7Qau/bWcNvry/hqUxkTBnbkdxf2szVSWqhATJ3NE5HhqrrQHcAwIPCjzSeoorqeWStc4xB53+4hTGB091TuHt+TM3u3JzbK+m1N65OeFMO/rx3G1LkbeHLOOpa7K9j27dQm0KEZH/JXy2INrsHtb92bMoG1QAOuGlH9j3BeZ+AVIB3XWMfzqvqkiCTjKkqYBWwBLlXV3UeLwVcti/pGJ5+tLWFmfiGffFNMXaOTHukJXJSbwYRBneypVmOaWLipjCmv57O7qp77zs7hqlOyrFuqBQlEN1SXo+1X1a1HOK8D0EFV80QkEVgKTAB+CpSr6mMi8kugnarec7R7nEiyUFVWb9/LjLxC3lu2nbKqOlLiozh/YEcuys2gT8ck+wdgzBGUV9Vx55vLmVtQzJm90/njxf1pG2cVbFuCQE2dbQd0pklX17GWKBeRd4Gp7p/TVHWHO6F8qqo9j3bu8SSLmvpGXvlqCzOWFrF21z6iwsM4vXcaEwdlcGrPVCJtuqsxXlFVXlywmT98VEBaYgxPTRrI4C62snKwC0TL4re4WgMbcT/FzTGWKBeRLOBzXA/2fauqbd3bBdh94P33zrkeuB4gMzNz8Nath23AHFFDo5MRj80lo10sF+VmcG7/DvaNyJgTsHzbHm6dlk/Rnv3cfkYPbjz1JJv8EcQCkSzWAv1Ute44z08APgMeUdWZIrKnaXIQkd2q2u5o1zjebqiK6nraxNnzEMb4yt6aeu6buZL3V+xgdHcHT1w6kNREW8kxGB0tWfirX2UV0PZ4ThSRSGAG8KqqznRv3uXufjowrlHsiyAPxxKFMb6VFBPJ05MG8ejEfizaXM5ZT85n/vqSQIdljpG/ksWjQL6I/EdE3jvw4+kkdxfTi8AaVX2iya73gKvcr68C3vV5xMYYvxERJg3N5L1bRtEuLpKfvLSIP35UQEOjM9ChGS/5qxtqNfAcsBI4+F+Dqn7m4bxRwPzvnXcf8DUwHdcU3K24ps6WH+1aga4NZYw5vP11jTz03mreWLKNwV3a8dSkQXRqGxvosAyBGbNYrKon+/zCx8CShTHB7d1lRdw3cyUR4WH86eL+nNmnfaBDavUCMWYxX0QeFZERIpJ74MdP9zLGtEAXDOzEB5NH0zk5luv/tZSH3ltNbYOtkRas/FXuY5D79/Am2xTweuqsMSb0ZTnimXHjKTz2YQH/+GILi7eUM/WKXLKtAGfQ8dtDeYFm3VDGtCz//WYXd721nPoGJ49c2I8JgzoFOqRWp9m7oUQkXUReFJEP3e97i8g1/riXMSY0nNE7ndmTR9O7YxK3vbGMu95cTnVdQ6DDMm7+GrP4J/AfoKP7/TrgNj/dyxgTIjq2jWXadcO5dWw33sor5PypX1Cwc2+gwzL4OFm4l1IFcKjqdNzTX1W1AbCRK2OMRxHhYdxxZk/+fc0wKvbXc8HUL3j1662Eapd5S+HrlsUi9+8qEUnBXRdKRIYDFT6+lzEmhI3s5mD25NEMzU7m/rdXcctr+VTsrw90WK2Wr5PFgQpht+N66vokEfkC1xoVt/r4XsaYEJeaGM3LVw/lnvE5fLR6J+c8NZ9l2/YEOqxWyaezoUSkEDhQpiMMiMaVQGqBxu+V8PArmw1lTGhZunU3k6fls2tvDXeP78m1o7paBVsfa87ZUOFAApAIxON6jiMciHNvM8aY4zK4SztmTx7NuF5p/H52AT97eTFllbWBDqvV8HXLIk9Vg+JJbWtZGBOaVJV/LdzK795fQ7v4SP562SBGnJQS6LBCQnO2LKxNaIzxKxHhJyOyePvmU4iPiuDKFxbyl/+uo9Fps6X8ydfJYpyPr2eMMYfVp2MbZt06igkDO/HknPVc8feF7KyoCXRYIcunycJT2XBjjPGl+OgInrhsII9fMoCVRRWc/dR85hX4bW20Vs1fT3AbY0yzuWhwBrNuHUVaYjRX/3Mxj3zwDXUNtrCSL/mr6qwxxjSrk1ITeOfmkTzywRr+Pn8zizaX88RlA2mfFBPo0JqVCMRF+f5Pu1WdNcaEnA9X7uDuGSvYV9P6ChE6EqJZ8sDpx3Xu0WZDWcvCGBNyzurXgX4Zbfho1U6cIfqF+EhiI8P9cl1LFsaYkJTRLo5rR3cNdBghwwa4jTHGeGTJwhhjjEchO8AtIiXA1uM83QGU+jCclsA+c+hrbZ8X7DMfqy6qmnq4HSGbLE6EiCw50oyAUGWfOfS1ts8L9pl9ybqhjDHGeGTJwhhjjEeWLA7v+UAHEAD2mUNfa/u8YJ/ZZ2zMwhhjjEfWsjDGGOORJQtjjDEeWbIwxhjjkSULY4wxHlmyMMYY45ElC2OMMR5ZsjDGGOORJQtjjDEeWbIwxhjjkSULY4wxHlmyMMYY45ElC2OMMR5ZsjDGGOORJQtjjDEeRQQ6AH9xOByalZUV6DCMMabFWLp0aemR1uD2W7IQkZeAc4FiVe3r3pYMvAFkAVuAS1V1t4hcCdwDCLAPuFFVl7vP2eLe1gg0eLu2bFZWFkuWLPHlRzLGmJAmIluPtM+f3VD/BMZ/b9svgTmq2h2Y434PsBk4VVX7Ab/lf1d6GqOqA1vbwuvGGBMs/JYsVPVzoPx7my8AXna/fhmY4D72S1Xd7d6+EMjwV1zGmNZh194avtxYyrbyahqdtiLoiWruMYt0Vd3hfr0TSD/MMdcAHzZ5r8DHIqLAc6p6xPVlReR64HqAzMxM30RsjGkRnE5lRVEFc9fsYu7aYlYV7T24LyoijKyUOLId8WQ54unqiCfbkUC2Ix5HQhQiEsDIW4aADXCrqroTwEEiMgZXshjVZPMoVS0SkTTgvyJS4G61HO6az+PuwhoyZIh9lTAmxO2rqWfB+lLmFBTz6dpiSivrCBPIzWzH3eN70rdjG7bv2c/m0io2lVaxsaSKuQXF1Dd+9+chITqCbEf8wZ+uqfFkpcSTnRpPUkxkAD9dcGnuZLFLRDqo6g4R6QAUH9ghIv2BF4CzVLXswHZVLXL/LhaRt4GhwGGThTEm9G0urWLOml3MW1vMos3l1DcqSTERnNYzjbE5aZzaI5V28VFHPL/RqWzfs59NpVVsLqk8mEjyt+1m1ortaJOvmY6EqINJpGmLpEtKHDGR4c3waYNHcyeL94CrgMfcv98FEJFMYCbwY1Vdd+BgEYkHwlR1n/v1mcBvmjlmY0wA1TU4WbKlnDkFxcwrKGZTaRUA3dMS+NmobMblpJOb2ZaIcO+GYMPDhM7JcXROjuPUHofOEq2pb2RbebUrkZRWscWdSOatLaFkSeHB40SgY5vYQ1ok2anxZKfEk9Eu1utYWhJ/Tp2dBpwGOESkEPg1riQxXUSuAbYCl7oPfxBIAZ5x9x0emCKbDrzt3hYBvKaqH/krZmNMcCitrGVeQTHz1hbz+bpSKmsbiAoPY8RJKVx1ShZjc9LonBzn8/vGRIbTPT2R7umJ/7NvX009W0qr2VxWxeaSKjaXulol7ywrYl9Nw8HjIsNdyahrkxZJtiOero4E0pOiW+z4iKiGZtf+kCFD1J6zMKZlUFVWb9/L3IJi5hQUs6JwD6qQnhTN2Jw0xuakM7JbCnFRwfccsapSXlV3sDvrQItks/untsF58NjYyPAm3VmHtkiO1nXWXERk6ZEeUQi+/+WNMa1CdV0DC9aXMm9tMXMLitm1txYRGJDRll+c3oOxOWn06ZgU9N/ERYSUhGhSEqIZkpV8yD6nU9mxt8bVEmnSIlm9vYKPVu88ZEpv27jI7xKIe4D9wPtgSJKBj8AY02psK69mboErOXy1qYy6BicJ0RH8oIeDsTnpnNYzFUdCdKDD9JmwMKFT21g6tY1lVHfHIfvqG51sK68+2ALZ5G6RfLWxjJl5RYcc2z4phixHHNmOhO9aJanxdG4XR1RE84yPWLIwxvhNQ6OTpVt3M3dtMXPXFLO+uBKAro54fjy8C+Ny0hiSldxsf/CCSWR4GF1TE+iamvA/+6rrGthSWs2WMncicbdIPlq1g93V9QePCw8TMtp9b6DdEc+obg6ft8iOmixEZO/R9uOq5bRDVXv4LiRjTEu2u6qOz9aVMKegmM/WFrO3poHIcGFodjKXD81kbE4a2Y74QIcZ1OKiIujdMYneHZP+Z9+e6rqDrZGmLZJFm8uprmvEkRDNkgdO93lMnloWG1V10NEOEJF8H8ZjjGlhVJW1u/a5upfWFJP37W6c6npG4cw+7RmXk8ao7g4S7QE3n2gbF8WgzCgGZbY7ZLuqUryvlpJ9tX65r6dkcZEX1/DmGGNMCKmpb+SrjWXMKdjFvIISivbsB6BvpyRuGdudsTlp9O/UhrCw4B6cDiUiQnpSDOlJMX65/lGThapuEpFw4BNVHXOkY/wSmTEmqOyo2H+w9fDFxlJq6p3ERYUzspuDW8d2Y0xOmt/+UJnA8zjAraqNIuIUkTaqWtEcQRljAq/RqSzbtoe5BbuYW1DCmh2uIczOybFcfnImY3LSGJad3OrKXrRW3s6GqgRWish/gaoDG1V1sl+iMsYERMX+euavL2HummI+XVdCeVUd4WHC4C7tuPesHMb1SuOk1ISgf/bB+J63yWKm+8cYE0JU1V2JdRdzC4pZvGU3jU6lbVwkY3qmMSYnjVO7p9ImzganWzuvkoWqvuz5KGNMS1Db0MiizeXMWeOqvbS1rBqAnPaJ/PwHXRnXK42BndsRboPTpgmvkoWIdAceBXoDB0ewVLWrn+IyxvhQ8b4aPi0oYU7BLhasL6WqrpHoiDBGdnNw7eiujM1Jo1Pb2ECHaYKYt91Q/8BVNfYvwBjgavy7frcx5gQ4ncqq7RXMWeMqrbGyyDU3pWObGCYM6sS4XmmM6OogNsoGp413vE0Wsao6R0REVbcCD4nIUlylxY0xQaCytoEF60vctZdKKK10FebLzWzHXT/syZieafTqkGiD0+a4eJssakUkDFgvIrcARcD/FjQxxjSrrWVVB8ceFm4qo75RSYyJ4NQeqYzrlcapPdJIDoLS16bl8zZZTAHigMnAb4GxuFa6M8Y0o/pGJ0u27GZuwS7mFBSzqcQ1k71bWgJXj8xmbE4ag7u0IzIEV2ozgeXtbKjFAO7WxWRV3efXqIwxB5VV1vLp2hLmri3m83Ul7KtxrRo3rGsyPxnehbE56WSm+H7VOGOa8nY21BBcg9yJ7vcVwM9UdakfYzOmVVJV1uzYd7D1sGyba9W41MRozu7bgbG90hjVzUF8tK0wYJqPt/+1vQTcpKrzAURkFK7k0d9fgRnTmuyva+SLDaXMXVvMvIJidlTUADAgow23jftu1TgrzGcCxdtk0XggUQCo6gIRaTjaCcaYoyvcXc0895rTX20so7bBSXxUOKO7p/KLM9I4rWcqaYlWmM8EB0+LH+W6X34mIs8B0wAFLgM+9W9oxoSWhkYn+dv2HKzcunaXa+ivS0ocVwzLZFxOOidntyM6wp59MMHHU8vi8e+9/3WT14ox5qj2VLtWjZtbUMxn60rYU11PRJhwclYyD5zTizE5aXR1xNuzDyboeVrP4rBrWBhjDk9VWV9cebD1sPRbV2G+5PgoxuakMS4nndE9HCTZqnGmhfF2NlRb4CdAVtNzrES5Ma5V4xZuKjs4/lC427VqXO8OSdx02kmMyUljQEZbK8xnWjRvB7hnAwuBlYDTf+EY0zLsrKhh3tpi5qwp5osNpeyvbyQmMoxR3RzcdFo3xuSk0qGNFeYzocPbZBGjqrf7NRJjgpjTqSwv3HOw9bB6u2vVuE5tY7l4cAZje6UxomuKrRpnQpa3yeJfInId8D5Qe2Cjqpb7JSpjgsC+mnrmry9lzppiPltXTGllHWECg7u0457xOYzNSaNHuq0aZ1oHb5NFHfAn4H6+mwWlgK1nYULKphL34HRBMYs2l9PgVNrERnJaz1TG5qRxao9U2sZZYT7T+nibLO4AuqlqqT+DMaa51TU4Wbzlu1XjNpe6CvP1SE84uChQbmZbIqwwn2nlvE0WG4BqfwZiTHOo2F/P5tIq1u7cy6drS5i/vpTK2gaiIsI45aQUrh6ZxZieaXROtsJ8xjTlbbKoApaJyDwOHbOwqbMm6NTUN7KlrIrNJVVsKq1iS2kVm90/ZVV1B49LT4rmvAEdGZuTxshuKcRFWWE+Y47E238d77h/jAkK9Y1OCnfvZ0upKyFsLq10JYSSKra7i/AdkJ4UTbYjnjP7pJPtiCfbkUDX1Hh7ctqYY+DtehYv+zsQY77P6VR27as52ELY3KSV8G15NQ3O7yrOJMVE0DU1geFdU8h2xJPliD/4O8FKeRtzwjwVEnxeVa8/0WOMORJVZXd1/cFuogMthE0lVWwtq2Z/fePBY2Miw8hKiSenQyJn9WtPtiPB3VKIp11cpLUSjPEjT1+5JohIzVH2C2D1o4xHVbUNTRJCVZPuoyoq9tcfPC4iTMhMjiPbEc/Ibg6yHa7uouzUeNITY2w9B2MCxFOyuMuLa8z3fIhpDeoanHxbXv0/LYQtZVXs2lt7yLEd28SQnRrPeQM6uFsIcWQ7EshoF2vrRxsThDxVnT3usQoReQk4FyhW1b7ubcnAG7gKEm4BLlXV3SJyJXAPrpbKPuBGVV3uPmc88CQQDrygqo8db0zmxDU6le179h/SSjjwU7i7mibDCKTER5HliGd099RDWghdkuOJjbKyGMa0JP4c+fsnMBV4pcm2XwJzVPUxEfml+/09wGbgVHfiOAt4HhgmIuHA/wFnAIXAYhF5T1W/8WPcrZ6qUlpZd7CFsMk9y2hLWRVbyqqpa/iulmR8VDjZqfEM6NyWCQM7kp3qmm2UnRJPmzgrw21MqPBbslDVz0Uk63ubLwBOc79+Gddqe/eo6pdNjlkIZLhfDwU2qOomABF53X0NSxY+oqp8sqaYVUUVh7QSKmu/WzU3MlzokuIaSB7TM+3gLKOujnhSE6NtYNmYVqC55xSmq+oO9+udQPphjrkG+ND9uhOwrcm+QmDYkS4uItcD1wNkZmaecLChbndVHXe9tZxP1hQjAhntYslKieei3E6uWUapCXR1xNOxbaytxWBMK+ft4kc9cA12d+HQxY/GHu+NVVVF5JClWUVkDK5kMeo4r/k8ri4shgwZYsu+HsXiLeVMnpZPaWUtvzq3N1cOy7Ty2saYI/K2ZfEm8Czwd6DRw7FHs0tEOqjqDhHpABQf2CEi/YEXgLNUtcy9uQjo3OT8DPc2c5wancrfPt3AXz5ZT0a7WGbceAr9M9oGOixjTJDzNlk0qOrffHC/94CrgMfcv98FEJFMYCbwY1Vd1+T4xUB3EcnGlSQuB67wQRytUvHeGn4xfRlfbCjjvAEd+f2FfUm0taCNMV7wNlnMEpGbgLfxcvEjEZmGazDbISKFwK9xJYnpInINsBW41H34g0AK8Ix7sLRBVYeoaoOI3AL8B9fU2ZdUdfUxfD7j9tm6Eu6YvozK2gYem9iPy07ubAPTxhiviarnrn0R2XyYzaqqQbv40ZAhQ3TJkiWBDiPg6hudPP7xOp79bCM90hOYekUuPdITAx2WMSYIichSVR1yuH3eFhLM9m1IpjkU7q5m8rR88r7dw6ShnXnw3D72MJwx5rh4OxsqErgR+IF706fAc6paf8STTEB9tGoHd7+1AqfC05MGcd6AjoEOyRjTgnk7ZvE3IBJ4xv3+x+5t1/ojKHP8auob+f3sNbzy1Vb6Z7Th6UmD6JISH+iwjDEtnLfJ4mRVHdDk/VwRWe6PgMzx21RSyS2v5fPNjr1cMyqbe8bnEBVhRfmMMSfO22TRKCInqepGABHpyok9b2F8bGZeIQ+8s4qoiDBevGoI43od7uF4Y4w5Pt4mi7uAeSKyCVdl2C7A1X6LynitqraBB99dzYy8QoZmJfPkpIF0aBMb6LCMMSHG29lQc0SkO9DTvWmtqtYe7Rzjf99s38st0/LYXFrF5LHdmDyuOxG2FoQxxg88Las6VlXnisjE7+3qJiKo6kw/xmaOQFX598Kt/PaDNbSJjeTVa4ZxSjdHoMMyxoQwTy2LU4G5wHmH2ae4SnSYZlSxv55fzljBh6t28oMeqTxx6QAcCdGBDssYE+I8rZT3a/dvG58IAvnf7ubWafnsrKjh3rNyuG50V1uT2hjTLLzq4BaRKSKSJC4viEieiJzp7+CMi9OpPPfZRi559isApt8wgp+fepIlCmNMs/F2NtTPVPVJEfkhroJ/Pwb+BXzst8gMAKWVtdwxfTmfrSvhrL7teeyi/rSJtUqxxpjm5W2yOPAV9mzgFVVdLVay1O++3FDKbW8sY8/+en47oS8/GpZplWKNMQHhbbJYKiIfA9nAvSKSCDj9F1br1tDo5Kk563l63gayHfH88+qh9O6YFOiwjDGtmLfJ4hpgILBJVatFJBl7KM8vdlTsZ8q0ZSzaUs5FuRn85oI+xEc391LpxhhzKG//Co0AlqlqlYj8CMgFnvRfWK3TnDW7uPPN5dQ2OHni0gFMzM0IdEjGGAN4ORsKV4XZahEZANwBbARe8VtUrUxdg5Pfvv8N17y8hPZtYpl16yhLFMaYoHIsa3CriFwATFXVF91Lo5oTtLWsilun5bOisIKrRnTh3rN7ERNpCxQZY4KLt8lin4jci2vK7GgRCcO1voU5AbOWb+femSsJE3j2R4MZ37d9oEMyxpjD8jZZXAZcget5i50ikgn8yX9hhbb9dY385v3VTFu0jdzMtjw1aRAZ7eICHZYxxhyRt1Vnd4rIDKC7e1Mp8Lbfogph63bt45bX8li3q5IbTzuJ28/oQaRVijXGBDlv1+C+DrgeSAZOAjoBzwLj/BdaaFFV3li8jYdmrSY+KoKXfzaUU3ukBjosY4zxirfdUDcDQ4GvAVR1vYik+S2qELOvpp773l7FrOXbGdkthb9cOpC0pJhAh2WMMV7zNlnUqmrdgVITIhKBq0S58WBlYQW3TMtjW3k1d57ZgxtP60a4FQA0xrQw3iaLz0TkPiBWRM4AbgJm+S+slk9VeemLLTz24RocCdG88fMRnJyVHOiwjDHmuHibLO4BrgVWAj8HZgMv+Cuolm53VR13vbWcT9YUc3qvdP50cX/axUcFOixjjDluHpOFiIQDq1U1B/i7/0Nq2RZtLmfK6/mUVtby4Lm9uXpkllWKNca0eB6Thao2ishaEclU1W+bI6iWqNGpPDNvA3/5ZB2ZyXHMvHEk/TLaBDosY4zxCW+7odoBq0VkEVB1YKOqnu+XqFqY4r013PbGMr7cWMYFAzvyuwl9SYyxB9yNMaHD22TxK79G0YJ9tq6E299YRlVdA3+8qD+XDMmwbidjTMg5arIQkRjgBqAbrsHtF1W1oTkCC3b1jU4e/3gdz362kR7pCUy7Yjg90hMDHZYxxviFp5bFy0A9MB84C+gNTPF3UMGucHc1k6flk/ftHiYNzeTBc3sTG2WVYo0xoctTsuitqv0ARORFYJH/QwpuH63awd1vrUAVnp40iPMGdAx0SMYY43eekkX9gReq2tCa++Jr6hv5/ew1vPLVVvpntGHqpFwyU6xSrDGmdfCULAaIyF73a8H1BPde92tV1SS/RhckNpZUcstr+azZsZdrR2Vz9/gcoiKsUqwxpvU4arJQ1VbfET8zr5AH3llFdEQYL/10CGNz0gMdkjHGNDu/fT0WkZdEpFhEVjXZliwi/xWR9e7f7dzbc0TkKxGpFZE7v3edLSKyUkSWicgSf8X7fVW1DdwxfTm3T19O305tmD1ltCUKY0yr5c++lH8C47+37ZfAHFXtDsxxvwcoByYDfz7Ctcao6kBVHeKPQL/vm+17OW/qAmbmFzJ5XHdeu3YYHdrENsetjTEmKPktWajq57iSQFMX4JqOi/v3BPexxaq6mCYD6oGgqvzrqy1MeOYLKmsaePXaYdx+Rg8ibCU7Y0wr19x/BdNVdYf79U7Am34dBT4WkaUicv3RDhSR60VkiYgsKSkpOebgKvbX8+ScDYzomsLsKaM55STHMV/DGGNCkbflPnxOVVVEvFlAaZSqFrlX5vuviBS4Wy2Hu+bzwPMAQ4YMOebFmdrGRfH2TafQqW0sYbZAkTHGHNTcLYtdItIBwP272NMJqlrk/l0MvI1reVe/6ZwcZ4nCGGO+p7mTxXvAVe7XVwHvHu1gEYkXkcQDr4EzgVVHO8cYY4zv+a0bSkSmAacBDhEpBH4NPAZMF5FrgK3Ape5j2wNLgCTAKSK34apD5QDedj85HgG8pqof+StmY4wxhyeqx9y13yKISAmuhHQ8HECpD8NpCewzh77W9nnBPvOx6qKqqYfbEbLJ4kSIyJLmeqYjWNhnDn2t7fOCfWZfsgcIjDHGeGTJwhhjjEeWLA7v+UAHEAD2mUNfa/u8YJ/ZZ2zMwhhjjEfWsjDGGOORJQtjjDEeWbJo4nBrcIQyEeksIvNE5BsRWS0iUwIdk7+JSIyILBKR5e7P/HCgY2ouIhIuIvki8n6gY2kOgVoLJ5BEpK2IvCUiBSKyRkRG+OzaNmbxHRH5AVAJvKKqfQMdj7+563N1UNU8d1mVpcAEVf0mwKH5jbjKAcSraqWIRAILgCmqujDAofmdiNwODAGSVPXcQMfjbyKyBRiiqq3moTwReRmYr6oviEgUEKeqe3xxbWtZNHGENThClqruUNU89+t9wBqgU2Cj8i91qXS/jXT/hPw3JhHJAM4BXgh0LMY/RKQN8APgRQBVrfNVogBLFsZNRLKAQcDXAQ7F79zdMctwVT3+r6qG/GcG/grcDTgDHEdz8notnBCRDZQA/3B3N77gLsDqE5YsDCKSAMwAblPVvYGOx99UtVFVBwIZwFARCekuRxE5FyhW1aWBjqWZjVLVXOAs4GZ3N3MoiwBygb+p6iCgiu+Wrj5hlixaOXe//QzgVVWdGeh4mpO7iT6P/10rPtSMBM539+G/DowVkX8HNiT/a+61cIJAIVDYpKX8Fq7k4ROWLFox92Dvi8AaVX0i0PE0BxFJFZG27texwBlAQUCD8jNVvVdVM1Q1C7gcmKuqPwpwWH7VGtfCUdWdwDYR6eneNA7w2WSVgC2rGowOtwaHqr4Y2Kj8aiTwY2Cluw8f4D5VnR24kPyuA/CyiITj+rI0XVVbxVTSViad1rkWzq3Aq+6ZUJuAq311YZs6a4wxxiPrhjLGGOORJQtjjDEeWbIwxhjjkSULY4wxHlmyMMYY45ElC2N8TEQqPR9lTMtiycKYIOR+DsSYoGHJwhg/EJc/icgq95oKl7m3n9Z0PQkRmSoiP3W/3iIifxCRPOCSwERuzOHZE9zG+MdEYCAwAHAAi0Xkcy/OK3MXvzMmqFjLwhj/GAVMc1e43QV8BpzsxXlv+DcsY46PJQtjmlcDh/67i/ne/qpmjMUYr1myMMY/5gOXuRdaSsW1gtkiYCvQW0Si3dVvxwUwRmO8ZmMWxviQiEQAtbjWTxgBLMe1Ytvd7hLSiMh0XOWyNwP5AQrVmGNiVWeN8SERGQD8XVVDfaEd08pYN5QxPiIiNwDTgAcCHYsxvmYtC2OMMR5Zy8IYY4xHliyMMcZ4ZMnCGGOMR5YsjDHGeGTJwhhjjEf/D8aeXzMFr96LAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = figure()\n", "ax1, ax2 = fig.subplots(2, 1, sharex=True)\n", "ax1.plot(jours, temperature)\n", "ax1.set_ylabel('Temperature [°]')\n", "\n", "ax2.plot(jours, pression)\n", "\n", "ax2.set_xlabel('Jour')\n", "ax2.set_ylabel('Pression [mbar]')" ] }, { "cell_type": "markdown", "id": "15ffcaa1", "metadata": {}, "source": [ "### Barres d'erreur" ] }, { "cell_type": "code", "execution_count": 42, "id": "880b1599", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Le titre')" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "x = np.array([1, 2, 3])\n", "y = np.array([4, 5, 5.5])\n", "erreurs_y = 0.1 * y\n", "\n", "plt.errorbar(x, y, erreurs_y, fmt='.', label=\"données+barres\")\n", "\n", "plt.xlabel(\"l'axe des x\")\n", "plt.ylabel(\"l'axe des y\")\n", "plt.legend(loc=2)\n", "plt.grid()\n", "plt.title(\"Le titre\")" ] }, { "cell_type": "markdown", "id": "2e1a7dae", "metadata": {}, "source": [ "### Inset" ] }, { "cell_type": "code", "execution_count": 43, "id": "31e064a0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "def fermi_dirac(epsilon, mu, beta):\n", " return 1/(np.exp(beta*(epsilon - mu))+1)\n", "\n", "x = np.linspace(0, 3, num=1000)\n", "x_zoom = np.linspace(0.9, 1.1, num=1000)\n", "\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = fig.subplots(1, 1)\n", "\n", "ax.plot(x, fermi_dirac(x, mu=1, beta=100))\n", "\n", "axins = ax.inset_axes([0.5, 0.35, 0.47, 0.47])\n", "axins.plot(x_zoom, fermi_dirac(x_zoom, mu=1, beta=100))\n", "ax.indicate_inset_zoom(axins, edgecolor=\"black\")\n", "\n", "for a in [ax, axins]:\n", " a.set_xlabel(r'$\\epsilon$')\n", " a.set_ylabel(r'$\\bar n$')\n", " a.grid()" ] }, { "cell_type": "markdown", "id": "0ffc98e2", "metadata": {}, "source": [ "### Echelle logarithmique\n", "\n" ] }, { "cell_type": "code", "execution_count": 44, "id": "c4398f1c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.logspace(-2, 2)\n", "y = x**3 + np.sqrt(x)\n", "\n", "fig = figure()\n", "ax = fig.subplots(1, 1)\n", "ax.plot(x, y)\n", "ax.grid()\n", "\n", "fig = figure()\n", "ax = fig.subplots(1, 1)\n", "ax.loglog(x, y)\n", "ax.grid(which=\"both\")" ] }, { "cell_type": "markdown", "id": "61b87e67", "metadata": {}, "source": [ "## Les commandes\n", "\n", "### Créer le graphique\n", "\n", "- ``plt.figure(figsize=(w, h))`` : Permet de créer la figure. Largeur et hauteur en pouce (2.54 cm)\n", "- ``fig.subplots(n, m)`` : découpe la figure en n (verticalement) et m (horizontalement) graphiques. Cette commander renvoie une matrice de n par m axes. Avec la méthode fonctionnel, la commande ``plt.subplot(n, m, i)`` créer le ième axe de la matrice et le sélectionne pour le prochain plot.\n", "\n", "### Tracer des données\n", "Toutes ces fonctions sont les mêmes en mode fonctionnel ou objet. \n", "\n", "- ``plot(X, Y)`` trace avec une ligne\n", "- ``plot(X, Y, fmt)`` pour contrôler la forme et la couleur. Couleurs : blue (b), red (r), black (k), green (g). Forme : disque (o), diamand (d), ligne pointillée (:), ...\n", "- ``plot(X, Y, color=..., linestyle=..., linewidth=...)``, syntaxe plus explicite. Les couleurs peuvent être en tout lettre (red, blue, orange, ..) suivre le cycle par défaut (C0, C1, C2, C3), ou être définie par l'intensité RGB. Le style des lignes : solid, dotted, dashed, dashdot. La linewidth est en point.\n", "\n", "- ``loglog``, ``semilogy``, ``semilogx`` : pour tracer avec des échelles logarithmique. On peut aussi changer avec ``plt.xscale('log')`` ou ``ax.set_xscale``\n", "\n", "- ``errorbar(x, y, yerr=..., xerr=...)``: pour tracer des points avec des barres d'erreur.\n", "\n", "- ``scatter(x, y, s=..., c=...)`` pour tracer un nuage de points avec des tailles (s) ou des couleurs (c) sous forme d'un tableau.\n", "\n", "### Légendes,...\n", "\n", "- Toutes les fonctions ci-dessus ont un argument optionel ``label``. On peut alors utiler la fonction plt.legend (ou ax.legend) pour afficher la légende.\n", "\n", "- ``xlabel``, ``ylabel`` : ne jamais oublier les unités\n", "- ``grid`` : Tracer une grille en arrière plan\n", "\n", "- ``text`` : rajoute un texte\n", "\n", "Remarques : pour les chaînes de caractère, il est possible d'utiliser des formules latex en utilisant des ``$``. Il faut alors faire attention aux ``\\`` : en effet il est possible qu'ils soient interprété comme des caractères spéciaux (par exemple ``\\n`` est un retour à la ligne). Pour éviter ceci, on utilise des chaîne brutes (raw string), préfixées par un ``r``. " ] }, { "cell_type": "code", "execution_count": 33, "id": "c021d3c3", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }