{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# matplotlib\n", "\n", "[matplotlib](http://matplotlib.org) is the most used to plot. It is the *reference*."]}, {"cell_type": "markdown", "metadata": {}, "source": ["Every plotting library works the same way: \n", "\n", "* We define axis (they boundaries can be adjusted based on the data)\n", "* We add curves, points, surfaces (A).\n", "* We add legendes (B).\n", "* We convert the plot into an image.\n", "\n", "Step (A) and (B) can be repeated in any order. Curves and legends superimposed.\n", "\n", "\n", "[documentation](http://matplotlib.org/) [source](https://github.com/matplotlib/matplotlib) [installation](http://matplotlib.org/users/installing.html) [tutorial](http://matplotlib.org/users/pyplot_tutorial.html) [gallery](http://matplotlib.org/gallery.html)"]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Setup\n", "\n", "Some parts of *matplotlib* are written in C and needs to be compiled. Thus the instruction ``pip install matplotlib`` usually fails on Windows unless [Visual Studio 2015 Community Edition](https://www.visualstudio.com/en-us/products/visual-studio-community-vs.aspx) is installed. I recommend to use a precompiled version through ``conda install matplotlib`` or [Unofficial Windows Binaries for Python Extension Packages](http://www.lfd.uci.edu/~gohlke/pythonlibs/) sous Windows."]}, {"cell_type": "code", "execution_count": 3, "metadata": {"collapsed": true}, "outputs": [], "source": ["import matplotlib.pyplot as plt"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## First example"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"image/png": 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gXwYiGaRn2LsNi8fIAmMyuFk6/VdY4prZuO9uegKpoBohNIp4iPAUKq66f0ct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li2An7xkEo5OFusW7uOxXNWYs5W4lmJQEoIvgTeb4FsQyVrQk8ZSSlQRreTVOcNkrX3NFLTgRTo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\nM222lSmzbIwf78Zjz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6esrCzh2pFEyCNWe9Pc3ExLSwvNzc3y1KlT3pMnT/r37Nmj9UMU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\nKaSQQlJIkUcKKaSQFFLkkUIKKSSF/w/qxYKldCAhCgAAAABJRU5ErkJggg==\n", "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "N = 150\n", "r = 2 * np.random.rand(N)\n", "theta = 2 * np.pi * np.random.rand(N)\n", "area = 200 * r**2 * np.random.rand(N)\n", "colors = theta\n", "\n", "ax = plt.subplot(111, projection='polar')\n", "c = plt.scatter(theta, r, c=colors, s=area, cmap=plt.cm.hsv)\n", "c.set_alpha(0.75)"]}, {"cell_type": "markdown", "metadata": {"collapsed": true}, "source": ["## Animation\n", "\n", "To make it work:\n", "\n", "* Install [ffmpeg](https://ffmpeg.org/) on Windows or [avconv](https://libav.org/avconv.html) on Linux\n", "* On Windows, open file ``matplotlibrc`` and update parameter ``animation.ffmpeg_path``. On Linux, the same must be done for *avconv*."]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"data": {"text/plain": ["'c:\\\\Python36_x64\\\\lib\\\\site-packages\\\\matplotlib\\\\mpl-data\\\\matplotlibrc'"]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}], "source": ["import matplotlib\n", "matplotlib.matplotlib_fname()"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/plain": ["'\\\\ffmpeg-20170821-d826951-win64-static\\\\bin\\\\ffmpeg.exe'"]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["import os\n", "matplotlib.rcParams['animation.ffmpeg_path'].replace(os.environ.get(\"USERPROFILE\", \"~\"), \"\")"]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/plain": ["['ffmpeg', 'ffmpeg_file']"]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["import matplotlib.animation\n", "matplotlib.animation.writers.list()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Let's take an example from matplotlib documentation [bayes_update](http://matplotlib.org/1.4.1/examples/animation/bayes_update.html)."]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"image/png": 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zao3huMc1hkz4GFYA7SmfO4DbrjH+48DPUj4XicgBIAp8WSn1o5kOEpFHgEcA\n6uvraWlpSWfOC2ZyyIrbf/XQSZaEzuX02tciFArxk72vAFDhn8zJulQXQs8Y/GDPL1le5p74hVAo\nxN69e2nrtZ5BOk69ydVz2XE+AwwPWILxUNtlWlrc1awmFArR0tLCi0etkh1q6DItLX1Zu16139JY\nf7T3dbqXu8t1qdfi7FXr/6uhFF5+8YUsXcvK5XijrSfn96hMktP/QRH5KLALeEfK5tVKqU4RWQc8\nLyJHlVJvufMqpR4DHgNoampSzc3NuZhygo6ii/yk7RiF1ctobr4xp9e+Fi0tLSyp3AivHWLLqqU0\nN9+c9WtubN1HT2s/DRu30dy0JOvXmy8tLS1sveV2Inueo6qkgAfuuzur17thJMyfvv4sfWEfuf4+\nzkVLSwvNzc185fjLwCAPvO1mbltXm7XrvRE5zcHuVgK1K2lu3py16ywGvRaXXr0AHOfWjctpbr4p\nK9eKxuI8um8P/RNxdu6+k8qSzDbMyhWZeNzrBBpTPq+0t01BRO4FPg+8TymVqDymlOq0/7YBLcDO\nDMwp4yyvspzPbjQl6TllO9FPkyhF7sJM8Fwk+mnqyoKUujgTXCmVMHNtzFJEkiZZZdW9ZrVsRiRp\nAn4fm+0INS/7GTIhGPYDG0VkrYgEgYeAKdFFIrIT+DssodCTsr1aRArt93XAncCJDMwp4zS42Pmc\n7S5203FzJniuorPA/ZngvSNhQuEo1SUF1GQpIknjhcikE4lSGNkVkluXe78Ed9qCQSkVBT4N7AFO\nAk8opY6LyKMioqOM/gIoA/55WljqFuCAiBwG9mL5GFwpGLTz+fLguOuSVxIaQ5aLCWrc3NXuYpYr\nzE7HzRVns1lhdjpr6qyEv/YBd0YmxeMqUehvy7LsaQyQH6UxMuJjUEo9DTw9bdsXUt7fO8txrwDb\nMzGHbFNRFKA06Gc0EmN4POoq26Eu1ZEzU5LdB7vdhSVC2nVpkBxoDJBacdZ9a5GsF5Xd6CywEv4a\na0q42D/Gpf6xrJuuFkrH1XHGJ2MsrSjMWj6HZmuDMSVdN4gIDfYTedeQe56UlVKJpDujMSRNSatq\nsv+UDO6uHZWLDPBU3FxYULc2zWY+h0ab1c71hoh6pOLsdIxgWAAJc5KLBMNIBCYm41QUBSgvyo0W\nU19WSDDgY2A0wmg4mpNrzpdcFRPUrHZxiRCdU5ALUxIkE/7OuTCXQdeL2pClelGplBcVsKKqmEg0\n7oluhzOoCMtJAAAgAElEQVRhBMMCWF6pI5Pc44Dum7CeSFbksC6LzyesrHKfAzocU/SOhCnwS9aq\nqk5nTZ1dIsSFN4BEBniOBEMi4c+NGkO3js7KvmCAZELhWRc746+FEQwLIBGZ5KKQ1f5xyxGeq4gk\nzUrbht/uohti75i1Fo3VJfizVFV1OkvLiygM+OgLRRiZmMzJNedDLK4SobtrslxYUeNmjaE1h6Yk\nSFac9UIp8pkwgmEB6FwGN4Ws9tmCIVf+BY0be1T0jlvaUy5CVTU+n6REJrlnLfrGFdG4YnllEcXB\n3FQD1hpDW2/IVZF7SqmULnY50hiWuD9891oYwbAA3Fgvqc++GeZaY2h0oQO6x9YYchWqqtGObjcJ\nhitj1vci24UEU6ktDVJZXMDIRJTeUHjuA3LEwIRiLMsVZqejy7CfNoIh/3Gj87nfYY3BTSGrPfbN\nMFehqhodmeQmB/SVUet7kSv/AliRezoC6lyPe9ai065flAvHs2bDkjJE4ELfqCvzOubCCIYF0GA7\nn68MTRCPu0NV7p+wBUOufQwuzH7WPoZcCwZditxNIavdo7bGkIMchlR0yKp2fLuBrpD1vciVfwGS\nFWejcZUIG/YSRjAsgKICPzWlQSZjij6XqMpJU1Jub4aNLnQ+99hrkatQVc0aF/oYtClpXQ41BsCV\nGkOXLSRzFZGk0ZFJp694z5xkBMMC0Q7oLhc4oIcnJhmPQnGBn+ocZ2LXlgYpLrAKyA2NOx+NE48r\n+hzSGHTUj6sEg21KylVym8adGkPuTUngjfpRs2EEwwJxU8hq59VkVVWR3IRnakTEVZFJV4YniCqo\nKyukJJjbfgANlVbzoivDE4xHnLcnj0diDEwoCvySc9+T27KflVIJH0O2el7PxiYPVJydDSMYFkgy\nyc1FgiHHP36Nm/wMOsEs1xFJYJVa1lFabkh0007wVTUlBPy5/YmvqrFySDqujruiw1/3cJjxKFSX\nFFCbo4gkjY5MMhrDdUAyMsl5U1Kui+dNR/sZXCEY+nNbPG86q1wUmZTL4nnTCQZ8rK4pQSl3rEVq\njaRca9Vraksp8AuXBsYYi7irdMxcGMGwQBpcFLKa63Lb00mErLrgKTmXfRhmIulncP5m2GabcXLt\nX9C4yQGtS2FsyLHjGSwhua6uDKWg1cV9wWfCCIYF4qZ6SVow5Dq5TeOmJDddrCwXndtmwk3Zz7ns\nwzATCQe0C/wMuc54ns5Gj0YmZUQwiMj9InJaRFpF5LMz7C8Uke/b+18TkTUp+z5nbz8tIu/OxHyy\nSWrDHqfpzHHntukky287fzO8lOOqqtNxU2TSeYcFQ0JjcIFgyHWNpOk02Q7os9ebxiAifuCrwHuA\nrcBHRGTrtGEfB64qpTYAXwH+zD52K1Yr0BuA+4H/bZ/PtSwpL8Qn0BsKE4k6W2s9aUpy5maY6nx2\nujZOu0s0BjfY1RN9GBzWGJwupqeUSkQE5TqHQZMspnf9aQy7gValVJtSKgI8Djw4bcyDwLft908C\n7xTLE/Qg8LhSKqyUOg+02udzLQG/j6UVRSgF3cPOmZMmJmP0hSL4xRJWTlBVUkBZYYBQOMrgmHO5\nDCMTkwyMRgj6oN6htVhZbbW27Bocd7QEwtXRCINjkxT5nVuLVFOSkw8MfaEIQ+OTFAec+400uSSX\nIRqLL6haQyYEwwqgPeVzh71txjF2j+ghoHaex7oONxTT03b9miLBl6MS09NJzWVwsmaSNiPVl0jO\nI080wYCPFdXFxBW0Dzj3vdD+haWlPsfWoro0SHVJAaORGN3DzlUI0BFJK8qcW4vGmhKKCnxcHppw\nNBH0xbN9bPvjPfMen9tMoDQQkUeARwDq6+tpaWlxbC7+sKUpPL/vTSYuObOER3ut8LfqYNzRtSiO\nW2ux56UDDCxzZi0OXLHXosDZtagQ6yb4k5Z97FjizFq81GndfGqDMUfXoi4Y4+oY/ODZl9la64x1\n+NmL1lrUFzq7FsuK4cIkPPHzF9hY7cxa/LQtwtgCki8z8e3tBBpTPq+0t800pkNEAkAl0D/PYwFQ\nSj0GPAbQ1NSkmpubMzD1xfHq2Elev9JGZcMamps3ODKHy69fgoNHWVJWgJNr0TJ8nDd7LlDRsJbm\nd6x3ZA5nXjgHh07RUOHsWjw7eJTj/ZeoWL6e5retdWQO+/ecAs6xsjLo6Fr8rO8IZw+0U7Z8Pc13\nrHFkDs/96BhwkdVVhY6uxS09h7nwRgclyzfQfNtqR+bwg8tvAl3zHp8JU9J+YKOIrBWRIJYz+alp\nY54CHrbffwh4XlnGx6eAh+yopbXARuD1DMwpq2hTUpeDpiQdkVRb5IyKrHFDkpuOBFpS7Gz0tRty\nGS70WWuxrNTZtVi/ROcyOBeNo3MHlpc5+xtpWmb5XM446IA+dWV4QePT1hiUUlER+TSwB/AD31BK\nHReRR4EDSqmngK8D3xWRVmAAS3hgj3sCOAFEgU8ppZzPo58DXX7byexn7d+oK3ZYMLjMx+Akq23B\ncN7BkFXtY1jm8Fq4ITLpbEIwOCskdc0kp5r2hKMxzvWOshBXZEYMoUqpp4Gnp237Qsr7CeA3Zjn2\nS8CXMjGPXOEqjcHhp2Q3lN/W115S4uxarK3TSW7O3AyVUlxIcT47idPF9AbHIvSFwpQE/dQ4rFU3\npYSsKqVy7ghv7QkRiyvW1Zdyfp7HmMznRbDCBVFJbtEYnM5liMVVwozl/FqUIGKtxWQs9zku3cNh\nxidj1JQGKS1wei2KCfqtaJxQOPd1grQZaX19GT6HIpI0yyqKKC8KcHVs0pGWpycvW5rKlmUV8z7G\nCIZFUFVSQFGBj5GJKCMTuQ9Bi8biXLFzKKodfhoqLyqgqqSAcDTuyJf+8tA40bhiaUUhQb+za1FU\n4Gd5ZTGxuEpodLlE90BwKuM5lYDfxxpbgzrvgDnJ6VIYqYgIm3Wl1Su516BOXbb8C3oO88EIhkUg\nIo5WWb0yPEEsrlhSXkiBQzkMqeiaSU7E7ydKYTiU8TwdJzOgnS6FMR0nzUlOFs+bCSf9DKdsp/fm\nBqMxZJ3llc6Zk7rsAn5OldueTmONcw172h2uqjod7YC+4ECfX/1kbgQDtNrX3FDvDsGQ9DMsLDoo\nE+iIJKMx5ADd4vOyA1VWOwftPgwOldueTlJjyL1gcJvGoB3QFxyITNJailsEg26l6YhgsJ/MN+a4\na9tsJDWG3K5F70iYvlCEssLAgoptGsGwSJyMTEpt6ekGkn0ZnDAlWdd0i2BY7WAug9PltqeT0Bhy\n3JchFI7SNTRB0O9LhFM7TaLKavfIgmoWpUuqtrCQaCgjGBaJNiU5Ihh0HwaXaAwrdZLboAMaQ0ob\nSzfgVPntaCye6GKn5+A0uvz2+b5RYjm8GeqkunX1pTlvbTob1aVBlpQXMhaJ5dT8fOqy9i8sTHNy\nx6p5kITG4EAntw6XaQzG+ZxEz+PSwBjRHIasdg5a0VkNlUUUB91Rub60MEBDZRGRWDyn/icdkbTB\nBRFJqWg/w6kcZkCfTGgM83c8gxEMi0b7GLoc8TGM23Nwh2DQpqSuwfGcPhkOT0xydWySogKfYyWm\np1Mc9NNQWUQ0rnL63XCbGUnjhANaV1V1m2DY5EAJbq0xbDEaQ25oqEz2fs6lzVAplTBfucX5XFTg\np768kGhc5bQXdnuKtuBUWeWZcCJk1W0RSZr1DvR/PpfIYXCH41mj/Qy5atozGYsnEv2ajMaQG4qD\nfmpKg0zGFH2juUvsGhiNMDEZp6IoQHlRQc6uOxeNKRnQuaLdZWYkjRPF9NwWkaRZ70BkUiK5zSU5\nDBptSsqVxnC+b5RILM6qmhLKChdW/cgIhjRwwpyUaOdZ7a6boRM1ky65LIdBk8hlyKED2m3JbZpc\nm5ImJmNcGhjD7xPXOOE1WlCd6w3lpGTKyUVkPGuMYEiDBgcikxKhqi4xI2kSDugcagxuczxrErkM\nOUxya3OtKSm3VVbbekdRyjLnBQPuur2VBAOsqilhMqYSgjybLCbjWeOulfMYKxzIZUiEqrokIkmT\nKKaXU43BXTkMmqTGkJub4cRkjK6hcfw+cZ32tLSikNKgn4HRCAOjkaxfTzue3VAjaSY25dDPYDQG\nh3DClKRt+PrabiFhSsphWKJbfQza+dw+kJsorUsDYyhl+XkKXBK3rxGRhJ+hLQfmpHMuDVXVbE6E\nrGa3NIZSimOd1jVuWG40hpziiCkpEZHkrpuhNiXlyvlsldu2BMNKl/lbSoIBlpQXEonFcxKl5VYz\nkiaXfoYz3e4WDFvtm/TxruwKhp6RMH2hMOVFgUU9OKUlGESkRkSeEZGz9t/qGcbsEJFXReS4iBwR\nkd9M2fctETkvIofs14505pNrkhVWHfAxuMyU1FBVhE+syq/haPab8F0eGmcyZlWYdUtCVypr6nQx\nvexrUEnHsztvhjpk9WwO6gTp6qVNSxf+lJwLti2vBEg8zWeLox1DiestJpQ7XY3hs8BzSqmNwHP2\n5+mMAR9TSt0A3A/8tYhUpez/A6XUDvt1KM355BRtzul0IirJZc7nAr+PhspilMqNac2tjmfNmhzm\nMlxICAZ3rkWuSk6PRaJc6B8l4JNEz2m30VhTTHlRgL5QmJ7h7P1OjnVZgmH7yspFHZ+uYHgQ+Lb9\n/tvA+6cPUEqdUUqdtd93AT1AfZrXdQVLyovw+4S+UDgnT8mhcJSh8UkKAz7qyoJZv95CSRbTy/5T\nslv9C5pclt/WJabXu6TE9HR0OYZsO1zPdodQylqHwoD7tEiwfC7a5q9v3tkgHf8CpC8YliqlLtvv\nrwBLrzVYRHYDQeBcyuYv2Samr4iIO+oazBO/T1hWYWkNV3LQsCc149lNmb4a7YDOhZ8hoTHUulMw\naPNJW5YFg1KKs93uLAGhWVldTEnQT89ImKtZjEzSDt2mRUTh5JIbbHPS8Syak4512hrDisVpDHOm\nw4nIs8CyGXZ9PvWDUkqJyKwhGCLSAHwXeFgppbM7PoclUILAY8AfAY/OcvwjwCMA9fX1tLS0zDX1\nnFAqVtbz0y372FKb3aeUw71W79xiNZ7494dCIdesRWzI+tG/fOgUy8fbsnqt/SctQTzafZGWli7A\nXWvRH7K+4kcv9mZ1ToPhOMMTUUoCcPzgq5ywHxjctBYAy4oVbRF4/OcvZu138uxJ67cYHJ+65m5b\nC/+w9TtuOXKO7f7OjJ9/KKy4MjxBkR8uHNvPpUU8RM4pGJRS9862T0S6RaRBKXXZvvH3zDKuAvgp\n8Hml1L6Uc2ttIywi3wT+yzXm8RiW8KCpqUk1NzfPNfWc8MMrb3LmahdL1jTRfMvKrF6rfd9FOHiM\nbWtX0Nx8IwAtLS24ZS0GKjr4YethKKujufnmrF7rL468CAzznrt2cfMqK+bBTWsRicb5wis/p29C\ncfudd1FUkJ2b4Svn+mDva2xeXsXdd9+Z2O6mtQD4Wd8R2g60U7xsHc13rs3KNf7uzD6gnwd+ZQfN\nm5cktrttLZZ3j/DYkRfojgSzMq+9p3uA/dy4qoZ77r5jUedI15T0FPCw/f5h4MfTB4hIEPgh8B2l\n1JPT9jXYfwXLP3EszfnknFw27HFrRJImEYmTZYerUsnM0XUuDdEMBnysrilBKbKa5drq8rh9TaK1\nZZYc0EqpZFOaBVYSzTXr6kopKvDRcXWcwbHMm9aOdyYjkhZLuoLhy8B9InIWuNf+jIjsEpGv2WM+\nDLwd+J0ZwlL/UUSOAkeBOuB/pDmfnLO80k5yy0HIqk4e0z2W3caaFIerUtlL7OodCTMWiVFVUkBV\nifuc8Bqd2KVv3tmg1aWVRKezeVl2M357RsJcHZukoiiQ8Pu5lYDfx5aG7OUzHNX+hZWLD9ldWMm9\naSil+oF3zrD9APAJ+/0/AP8wy/H3pHN9N7Aih1VFO1weiVNdUkBFUYDhiSi9oTBLyrPzA3Vrwbjp\nbFhSxjMnurOa2OUVjWFTorJoCKVUxoMnUusCuTEwYzo3LK/gzUuDHO8a4s4NdRk9t45IclJjuO5J\ndi/LfoimW6uJakQkcbPOZmvLhGBwWfXM6ejw0WxqDG7tVjadurJC6sqChMLRrDxEnbLrAm1xeUSS\nJluJbldHI3QOjlNc4GddGuHLRjCkiS7H0Jnl7mVTupWVuTeqV8fvZ9Ouft72YazxgMYA2assOjQ+\nSe9ImKICn+sSHmeiKYvmpHQqiTpBImQ1w7kMOjdi6/IK/L7Fa05GMKRJcdDqXjYZs0LEsoXWSBqr\n3dWtbDrJUhBZFAwurw2kWadzGXpDWXlo0JrI+voyfGncBHKFLlORDQe0riTq9hwGzaZlZQR8Qlvf\nKKPhaMbOezTheE5PQBrBkAEac5Dx6/ZMX40uy5BNU5Jbu5VNp6KogKUVhYSj8UREWSZpdWlv49lI\nVhbNrGCYjMUTfhzdPtPtFAb8bFxajlKZrbSqk+a2LTKxTWMEQwbIRfcyt/sXNGuybEqKx1WiM5rb\nTUmQ3cqiyYgkbwiGpCkps3b1tt5RJmOK1bUllC6whaWT6Kf6TPoZEhqDEQzOk4vuZe0ubUoznTUp\nTWqyEbLaNTROJBqnvrxwwX1snWBDFkNWvRKRpNm4tAwR60YeiWautWWiFIZHtAXNDYkS3JnxMwyO\nRbg0MEYw4Ev7O2EEQwZYlUONwe2Cobo0SGVxAWORGL2hcMbPr8tYuz0iSZNNjcErEUka3doyGle0\n9WVuPbzmeNbop/ojHZkRDK+fHwBgR2NV2g2bjGDIACtrcuhjcGnRuFSy2YvgvH1Dcbt/QZMtjWE8\nEqNzcJyATxKRYF6gKQutLb0Wqqq5YXklQb+P090jDI1Npn0+LRhuW1uT9rmMYMgASVNSdgSD1a1s\nfMq13EyiF0EW/Azn+7zjX4DUkNXMCoZzvVaJ6TV1pa5r53ktsuGA9qrGUBz0c1NjJUrB/gsDaZ/v\ntYRgqE37XN75RrmYhkqrL0P3cJiJycz3ZegeniASi1NX5s5uZdNJOKCzUDPJKxFJmiW2L+Tq2CT9\nGTStJfwLLu3BMBtNGe7N0B8Kc3loguICv+vNrDOhb+Kvne9P6zzDE5Mc7xoi4BNuXl019wFzYARD\nBgj4kwlG2cjqTPoX3J/EBKRkP2dDY/CWYBCRrNRMSkQkLfWaYLA0Bp13kC5vXhoE4MaVlWkldDnF\n7esswbCvLT2N4eCFq8SVtQ4lwfSDMoxgyBC6sF02zElecTxrVtumpPMZ9jFMxuIJX8tqD/haNLpp\nTyYzoL0WkaRZV1dKeWGAy0MTGWlu9calqwDcvPot7eY9wc2rqwj4hONdQwxPLN7PsM/WOG5bl74Z\nCYxgyBja9t+RBQe024vnTSdVY8hkyGrH1XGiccWKquKs9TfIBtlwQJ+1k9vc2s5zNnw+Yccqy9Sh\nb+rpoM+xszF984kTlAQD3LiykriynvoXy2ttmXM8gxEMGSOR5JZFU5Lbk9s0VSVBqkrskNWRzNnV\ntTN7jUub3s9GpkNWw9EYF/vHEPGeYADYaTdWeuNieoIhGosnQj29qjFA8il/3yL9DKPhKMc6h/D7\nhF1rjGBwFSvtshiXslAKwmumJMhOBrTX/AuaTGsMpy6PEI0r1teXeSIYYTq32Dfxg2lqDKe7RxiL\nxFhVU0KdiwtLzkW6foY3Ll0lGldsW16RsaRPIxgyRCLJLSs+Bjvr2UN29UTIagYd0FowrPFQ3D7A\n6poSigp8dA5mpmPX0TQbvTvNDtvsc7xzmHB08VF8b9iO55tXedOMpLlldTV+n3Csc4jQIgrqaTPS\n7gyZkSBNwSAiNSLyjIictf/OqM+JSCyle9tTKdvXishrItIqIt+324B6kmzVSxqLROkLhQn6fSzN\nUuObbJBs85m59fBaqKom4Pex1Y6x1zf1dDja4W3BUFlcwMYlZURi8bTqBL150duOZ01ZYYBtKyqJ\nxRUHF2Fe06Gumchf0KSrMXwWeE4ptRF4zv48E+NKqR32630p2/8M+IpSagNwFfh4mvNxjNrSIMUF\nfoYnohnJYtToGkkrq4s9UVpZszYL5bfbPFJueyZuXGk91Wai/EGydaM3BQMkzUlvpmFOSkQkrfK2\nYAC43X7a39e2MD/DxGSMw+1DiMCtbtEYgAeBb9vvvw28f74HitVU4B7gycUc7zZEJCshq+0eczxr\nMt2wZzQcpWtonAK/eG4tIPl0fzRNwTAxGeNM9wg+IaGFeBF9M19sZFJ/KMyF/jGKCnye6cFwLbSf\n4bUFCoY3Ll0lEouzZVkFlcUFGZtPup6KpUqpy/b7K8DSWcYVicgBIAp8WSn1I6AWGFRKaaNaB7Bi\ntguJyCPAIwD19fW0tLSkOfXMUxy34rJ/9uJ++pZlxgn0/AVL+/BPXJ3x3xwKhVy5FqOTVphqW88I\nz+/diy/N5kKtgzGUgmUlwssvvjDjGLeuBcBEyKomuv9cd1pzbBuMEY0rlpcJ+199adZxbl4LgKi9\nHq+c6Wbv3r0Lbj71Zo9121hdxqzfB43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"text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "\n", "def data_gen():\n", " t = data_gen.t\n", " cnt = 0\n", " while cnt < 1000:\n", " cnt+=1\n", " t += 0.05\n", " yield t, np.sin(2*np.pi*t) * np.exp(-t/10.)\n", "data_gen.t = 0\n", "\n", "fig, ax = plt.subplots()\n", "line, = ax.plot([], [], lw=2)\n", "ax.set_ylim(-1.1, 1.1)\n", "ax.set_xlim(0, 5)\n", "ax.grid()\n", "xdata, ydata = [], []\n", "def run(data):\n", " # update the data\n", " t,y = data\n", " xdata.append(t)\n", " ydata.append(y)\n", " xmin, xmax = ax.get_xlim()\n", "\n", " if t >= xmax:\n", " ax.set_xlim(xmin, 2*xmax)\n", " ax.figure.canvas.draw()\n", " line.set_data(xdata, ydata)\n", "\n", " return line,\n", "\n", "anim = animation.FuncAnimation(fig, run, data_gen, blit=True, interval=10, repeat=False)\n", "\n", "# saves the video\n", "from matplotlib.animation import writers\n", "Writer = writers['ffmpeg']\n", "writer = Writer(fps=15, metadata=dict(artist='Me'), bitrate=1800)\n", "anim.save('lines2.mp4', writer=writer)"]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"text/plain": ["['lines2.mp4']"]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}], "source": ["import os\n", "[_ for _ in os.listdir(\".\") if \"mp4\" in _]"]}, {"cell_type": "markdown", "metadata": {}, "source": ["**Open question :** how to display the video in the notebook?"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Interactions\n", "\n", "Interaction can be done with the regular GUI. See [poly_editor.py](http://matplotlib.org/examples/event_handling/poly_editor.html).\n", "\n", "Use javascript!"]}, {"cell_type": "code", "execution_count": 10, "metadata": {"collapsed": true}, "outputs": [], "source": []}, {"cell_type": "code", "execution_count": 11, "metadata": {"collapsed": true}, "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": "3.6.1"}}, "nbformat": 4, "nbformat_minor": 2}