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@bzamecnik
Created January 7, 2016 14:13
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Introduction to Plotting in Python
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plotting with `matplotlib`\n",
"\n",
"Workbook for the **Introduction to Plotting in Python** talk held at the **Python for Data Science Workshop** by Jumpshot & AVAST on 2015-01-07."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# show the plots in Jupyter output, do not open new window\n",
"%matplotlib inline\n",
"# import the object-oriented API, 'plt' is a conventional alias\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# we'll also use numpy to prepare data for plotting\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# make figures bigger so that we can see then on the projector\n",
"# (more about configuration later)\n",
"import matplotlib as mpl\n",
"mpl.rc('figure', figsize=(10,5))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gallery of basic plot types"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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J+IWZGbDB3Q8tt26JVjVNts/ZZ58g7hEj4o5EkkptmIhErexhx7Cp2z65Jk+G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\nePjehznvs+dx+29uD69hljmW1S4Lrt6ZhToqOpi3eF7SYWxj8+bNVB1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+kZNLS7kBtjkL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3WeKu2y885Aw8RxuP0PT+e63htWzcRtGw+e0DpGEXxRxsXe/0c/CwSIXSQsVGkPGL/gc9rI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Zgswx3CP4nDMv12gv90liGUKgC+FKXgd258YKBOWDV57/S6QhHQz77w3MmtSkuU+yU8Rw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\nRhu+2tGOdrSjHe1oRzsGMP4/RWGHaKmP8jUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1032807b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(4, 2, figsize=(10, 20))\n",
"\n",
"x = np.linspace(-4 * np.pi, 4 * np.pi, 80)\n",
"y = np.sin(x) / x\n",
"axes[0,0].plot(x, y)\n",
"axes[0,0].set_title(\"line plot\")\n",
"\n",
"axes[0,1].stem(x, y)\n",
"axes[0,1].set_title(\"stem plot\");\n",
"\n",
"# axes[1,0].fill_between(x, -y, y)\n",
"axes[1,0].fill_between(x, 0, y, where=y >= 0, facecolor='green', interpolate=True)\n",
"axes[1,0].fill_between(x, 0, y, where=y < 0, facecolor='red', interpolate=True)\n",
"axes[1,0].set_title(\"fill plot\");\n",
"\n",
"np.random.seed(42)\n",
"n = np.random.normal(size=(1000, 2))\n",
"\n",
"axes[1,1].hist(n[:,0], bins=25)\n",
"axes[1,1].set_title(\"1D histogram\")\n",
"\n",
"axes[2,0].scatter(n[:,0], n[:,1], alpha=0.2)\n",
"axes[2,0].set_title(\"scatter plot\")\n",
"\n",
"axes[2,1].hist2d(n[:,0], n[:,1], bins=20)\n",
"axes[2,1].set_title(\"2D histogram\")\n",
"\n",
"x, y = np.meshgrid(np.linspace(0, 2*np.pi, 100), np.linspace(0, 2*np.pi, 100))\n",
"z = np.sin(x) + np.cos(y)\n",
"axes[3,0].imshow(z, cmap='RdBu_r')\n",
"axes[3,0].set_title(\"image plot\")\n",
"\n",
"axes[3,1].contour(x, y, z, cmap='RdBu_r')\n",
"axes[3,1].set_title(\"contour plot\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Line plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot a sinusoid sampled at 100 points in the interval $[0, 2\\pi]$."
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10dbd74e0>]"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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a5cRiS1LVWXRRuO466NgRpkzJnUYqnYsvhp//HA48MHcSzc5tRElV67e/hZYt\n4ZJLcieR6u+dd2CrrWDECFh99dxpqoc9W5I0D59/DhtsAE88Aa1a5U4j1V2MsOuusNtu0L177jTV\nxZ4tSZqHFi2gV690cmvGjNxppLrr3TuNe+jSJXcSzYkrW5Kq2g9TtvfYA04+OXcaacF9+ilstBEM\nGACbbJI7TfVxG1GSauHtt2HrrWH48NRcLBXJQQfBGmukGxLU+NxGlKRaWHPN1OfSoUNa6ZKK4pFH\nYORIOOus3Ek0L/UqtkIIS4cQBoQQ3gohPBVCmONUjxDC+yGEUSGEV0IIL9bnOSWpIXTvnu6Ru+22\n3Emk2pk8GTp1gptugp/8JHcazUu9thFDCBcCX8YYe4UQegBLxxhPm8Pj3gVaxRi/qsXXdBtRUhaj\nRqX+rZEjYaWVcqeR5q1jR5g1K91/qHwavGcrhDAG2CHGODGEsAIwOMa47hwe9x6weYzxy1p8TYst\nSdmcdVYquh5+GMI8//qU8nnuOTj00HTX51JL5U5T3RqjZ6tljHEiQIzxU6DlXB4XgYEhhOEhhOPq\n+ZyS1GD++Mc0HPKee3InkeZs6lQ45hi4+moLraJoOr8HhBAGAsvP/kuk4ulPc3j43JakWscYPwkh\ntCAVXW/GGIcscFpJamDNm8Ott8K++0LbtmkWl1RO/vhH2HJL2G+/3ElUW/MttmKMu8zt90IIE0MI\ny8+2jfjZXL7GJzXvPw8hPARsCcy12Dr77LP/83GbNm1o06bN/GJKUslsuWW6yqdzZ7jrrtxppP96\n/vm06jp6dO4k1Wvw4MEMHjx4gf6ZUjTIT4oxXji3BvkQwqJAkxjjlBDCYsAA4M8xxgFz+Zr2bEnK\nbupU2HhjuOgiVxBUHvwzWZ4ao0F+GeBeYFXgA+CgGOPXIYQVgZtijHuHEH4OPETaYmwK9I0xXjCP\nr2mxJaksPP88HHwwvPoqLLdc7jSqdl27wmefQd++uZNodk6Ql6R6Ovlk+OgjG+aV15AhaVL86NGw\n7LK502h2TpCXpHo699y0smWxpVymToWjj4Zrr7XQKipXtiRpPl58EfbZJ83fWmGF3GlUbbp2hYkT\n4c47cyfRnLiNKEklcuaZabJ8v34OO1XjeeYZOPLIVOi7qlWe3EaUpBI580wYPx769MmdRNXi66/T\n9uEtt1hoFZ0rW5JUS6++mgadvvwyrLpq7jSqdIcfDksuCddckzuJ5sWVLUkqoY02Sv0zRx2VLgCW\nGsq998KfiVhsAAANaElEQVTw4dCrV+4kKgVXtiRpAcycCW3aQLt20L177jSqRB9/DJttBo8+mm4z\nUHmzQV6SGsD776dvgk89BZtumjuNKkmMsMcesPXWMNvNdSpjbiNKUgNYfXW4/HI49NA0A0kqleuu\ng0mT0mXTqhyubElSHR1+OCyxRBo2KdXXa6/BjjumafHrrJM7jWrLlS1JakDXXANPPJF6a6T6mDYN\n2rdPl0xbaFUeV7YkqR6efz7dWffKK06XV9117AiTJ6dLph2aWyyubElSA9tuOzj22DTl23EQqosH\nH0yHLa67zkKrUrmyJUn1NGNGGgex115w+um506hIPvwQNt88bUVvtVXuNKoLRz9IUiMZPx622ALu\nvx+23TZ3GhXBjBmw006w555w2mm506iu3EaUpEay6qrpDrtDD4UvvsidRkVw7rnQrBmcemruJGpo\nrmxJUgmdeiq88Qb06wdN/HFWczFwYOrzGzECVlopdxrVhytbktTIzjsvDaW89NLcSVSuPvoIjjgi\nnTy00KoOrmxJUol9+GHq33rkkXTtivSD77+HHXaAffbxMEWlcGVLkjJYbTW4+WY4+GD47LPcaVRO\nevSAZZdN71U9muYOIEmVaJ99YNiwVHANHAhN/du26t1/Pzz0ELz0kv181cZtRElqIDNnptlbG2wA\nF1+cO41yGjsWWreG/v3TXC1VDrcRJSmjhRaCO+9ME8LvuSd3GuUyZQoceCCcc46FVrVyZUuSGtjI\nkbDLLjBoUFrlUvWYNQt+/evUp3XjjV7HU4lc2ZKkMrDJJnDZZbD//vD117nTqDH95S8wcSJcfbWF\nVjVzZUuSGknnzvDOO2ng6UIL5U6jhvbAA9C1KwwfDssvnzuNGop3I0pSGfn+e9hjD9hoI4eeVrpX\nX4W2beHJJ6FVq9xp1JDcRpSkMrLwwnDfffD446l/R5Xpiy9gv/3gyisttJS4siVJjWzcONh2W7jr\nLthpp9xpVErTp8Nuu8FWW8EFF+ROo8bgNqIklanBg9PA0+efh7XXzp1GpRBjulz6m29Sv5Z9edXB\nbURJKlNt2qRLq/faC778MncalULPnvDWW2m2moWWZmexJUmZHHts6u058ED47rvcaVQft94KffvC\no4/CoovmTqNy4zaiJGU0cyYcckjagrr7bldEimjAAPjtb+G552CddXKnUWNzG1GSytxCC8Edd8Ck\nSWkOlz9rFsuoUXD44emSaQstzY3FliRl1rw5PPQQDB0K556bO41q6733YO+94aqrYLvtcqdROWua\nO4AkCZZYAvr3h9atoWVL6NAhdyLNy4QJsPPO0KNHOlUqzYvFliSViRVWgKeegu23hxYt4IADcifS\nnHzxRbpY/NhjoVOn3GlUBBZbklRG1lwTHnsMdt89nWrbfffciTS7b75J/0322QdOPz13GhWFpxEl\nqQz94x/Qrh387W+w66650whg6tR0t+X668M110CY5/kzVQsnyEtSgQ0ZAvvvn0ZCtG2bO011++67\n9N+iRQvo3RuaeLxMNRz9IEkFtu226dqX9u3T9T7KY+rUtMq4+OJpeKmFlhaUf2QkqYxtvz3cdx8c\ndFC6R1GNa8qUdKVSy5bpGp6mdjqrDiy2JKnMtWkDd92VTicOHJg7TfWYPBl22y0dWujd20JLdWex\nJUkF0LYtPPggHHZYmlauhjVpUhrvsOmmcMMNXqOk+rFOl6SC2G67dA/fXnulYuD443MnqkyffppO\nHe60E1x8sacOVX+ubElSgWyyCTz7LFxwAZx/vncpltobb8CvfpW2bC20VCqOfpCkApowIfUT7bJL\nKgo8IVd/zz6bDiJcdBEccUTuNCoK52xJUgX76ivYbz9Yemm44440mkB1c+ed0KVLOojgTDMtCOds\nSVIFW3rpdDqxRQvYZht4773ciYonxrQle/rp8MwzFlpqGBZbklRgzZrBjTfCccelguu553InKo4p\nU+CQQ+Dee2HoUNhww9yJVKkstiSp4EKAzp2hTx/49a/hpptyJyp/Y8bAVluly75feAFWXjl3IlUy\ne7YkqYKMHZuultlii3RZsn1c/+v++6Fjx3Sa89hjc6dR0dmzJUlVZu21YcQIaN4cNtsMXnopd6Ly\nMX06dO8Op5wC/ftbaKnxWGxJUoVZbLG0lXjeeWk45yWXwKxZuVPlNXp02jYcMyYVo5tvnjuRqonF\nliRVqIMOghdfhAcegD33hPHjcydqfDNmwF//mqbBn3giPPooLLts7lSqNhZbklTBVl89nVDcZpt0\nz9/ll6cCpBqMGQOtW8OgQWk79Xe/cyK88rDYkqQK17QpnHVWOnX3yCNpO62Se7m+/RZ69kx3SR51\nVLpPcrXVcqdSNbPYkqQqsc468Pe/w0knpcusTzopTaGvFLNmwd/+Buuum05lvvRSOnXoapZys9iS\npCoSQrr377XXYNo0WGstOPdc+Ne/ciern3/+M22VXnEF3HNPunbH1SyVC4stSapCyy2XJs8PHQpv\nvJGKrksvTQVYkbzwAuy7bxrm+vvfw7BhqeiSyonFliRVsbXXTpcwDxyYGunXWgsuvBA+/zx3srmb\nNQseeyz1ZB1xRBpvMW5c+riJ39VUhur1xzKE8OsQwmshhJkhhM3m8bjdQwhjQghjQwg96vOckqTS\n23BDePjh1EA/Zkwqug4/PK18lculHp9/nqbib7wxnHkmdOoEb72V+rJ+8pPc6aS5q+/PAKOB/YFn\n5/aAEEIT4GpgN2B94JAQwrr1fF7NweDBg3NHKDRfv/rx9au7cnrtWrWC226Dd99NE+iPPDKNjOjV\nKxVhjV14TZ2aerD22ScVgEOHpu3Ol1+Ggw9OJy3L6fUrIl+/hlevYivG+FaMcRwwr7MeWwLjYowf\nxBi/B+4G2tXneTVn/g9TP75+9ePrV3fl+Notswx065ZWji65BD74AHbZJW07nnwyPPss/PvfpX/e\nWbPg1VfhyivhgAPSBdG33ZYGtI4fD337phyznzAsx9evSHz9Gl7TRniOlYHZ5xZ/RCrAJEllrkkT\naNs2vV19NYwcCf36pYLrjTfSOIlNN02rYJtuCmuskZrvm9biu8ukSfD22/DOO+n9yy+nvrHlloMd\ndkhN79ddB8sv3/D/nlJDmu//DiGEgcDsf9QDEIE/xhgfbahgkqTyEkIqqDbdNA0NnTYt3Tn48svw\nyivQp09aAZs0CZZYAlq2hBYtoFmztAo2+9vnn8PMmbDmmqlAW3PNtHp1zTWw0kq5/02l0gqxBBvw\nIYRBwMkxxpfn8HtbA2fHGHev+fw0IMYYL5zL1yqTVkxJkqT5izHOc3RuKbcR5/ZEw4E1Qwg/Az4B\n2gOHzO2LzC+wJElSkdR39MN+IYTxwNbAYyGE/jW/vmII4TGAGONMoBMwAHgduDvG+Gb9YkuSJBVD\nSbYRJUmSNGdlM2vXwad1F0K4JYQwMYTwau4sRRRCWCWE8PcQwushhNEhhM65MxVFCKF5CGFYCOGV\nmteuZ+5MRRRCaBJCeDmE0C93lqIJIbwfQhhV82fwxdx5iiSEsGQI4b4Qwps1f/9tlTtTUYQQ1q75\nM/dyzfvJ8/reURYrWzWDT8cCbYEJpD6v9jHGMVmDFUQIYVtgCnB7jHGj3HmKJoSwArBCjHFkCOGn\nwEtAO//81U4IYdEY49QQwkLAC0DnGKPf9BZACKEr0ApYIsa4b+48RRJCeBdoFWP8KneWogkh9Aae\njTHeFkJoCiwaY/wmc6zCqalhPgK2ijGOn9NjymVly8Gn9RBjHAL4F00dxRg/jTGOrPl4CvAmaT6c\naiHGOLXmw+akQzf5f4IrkBDCKsCewM25sxRUoHy+lxVGCGEJYLsY420AMcYZFlp1tjPwztwKLSif\nP6BzGnzqNzs1uhDC6sAmwLC8SYqjZgvsFeBTYGCMcXjuTAVzGXAKFql1FYGBIYThIYTjcocpkJ8D\nX4QQbqvZCrsxhOANk3VzMHDXvB5QLsWWlF3NFuL9wEk1K1yqhRjjrBjjpsAqwFYhhPVyZyqKEMJe\nwMSaldXAvK8+05y1jjFuRlod/ENNW4XmrymwGXBNzes3FTgtb6TiCSEsDOwL3Devx5VLsfUxsNps\nn69S82tSo6jpV7gfuCPG+EjuPEVUswUxCNg9d5YCaQ3sW9N3dBewYwjh9syZCiXG+EnN+8+Bh/A6\nuNr6CBgfYxxR8/n9pOJLC2YP4KWaP39zVS7F1n8Gn4YQmpEGn3oqZ8H4U3H93Aq8EWO8IneQIgkh\nLBdCWLLm458AuwAeLKilGOMZMcbVYoy/IP299/cY4xG5cxVFCGHRmhVpQgiLAbsCr+VNVQwxxonA\n+BDC2jW/1BZ4I2OkojqE+WwhQuNcRD1fMcaZIYQfBp82AW5x8GnthRDuBNoAy4YQPgR6/tD0qPkL\nIbQGDgNG1/QeReCMGOOTeZMVwopAn5rTOE2Ae2KMT2TOpOqxPPBQzTVvTYG+McYBmTMVSWegb81W\n2LvA0ZnzFEoIYVFSc/zx831sOYx+kCRJqlTlso0oSZJUkSy2JEmSGpDFliRJUgOy2JIkSWpAFluS\nJEkNyGJLkiSpAVlsSZIkNSCLLUmSpAb0fx0YTsHWQjWMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dbe26a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 2 * np.pi, 100)\n",
"y = np.sin(x)\n",
"plt.plot(x, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can just provide the values for y axis. Note that the on x axis are values from 0 to 100, instead of $[0, 2\\pi]$."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1084290f0>]"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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a/+XUpCQVoc6dUxuLG27InUQqbWeeCcccU5xFWCE4IiZJdWTMGGjZEoYOhU03\nzZ1GKj0PPgjdusHIkfnOklwUd01KUhG7/Xbo1QtefTWtH5NUPePGwTbbpLNcW7TInWbBnJqUpCJ2\n8snQuHFqayGpemKETp3g1FOLuwgrBEfEJKmOffklbLstPPdceocvaeFuvx3uuCONJC+xRO40C+fU\npCSVgLvvhquvhjfegKWXzp1GKl6ffAKtWsGwYaWxttJCTJJKQIxw1FGwzjpw/fW500jFadas1LC1\nbdt0pmQpcI2YJJWAEFK3/YcegsGDc6eRitM118BSS6Uu+pXCETFJqkfPPQcnnZQ6hK+ySu40UvF4\n5x3Ye294801o1ix3mupzalKSSsxZZ6UDjO+9N3cSqTj89FPaHdmlC7RvnzvN4rEQk6QSM3UqbLdd\nalR59NG500j5de4M48enBq6hxiVNHhZiklSC3ngDDjggTcOss07uNFI+zz6b+u29/XbquVdqXKwv\nSSVo++3TguQOHWD27NxppDy+/hpOPBH69SvNIqwQLMQkKZMLL4R//Qt69MidRKp/c7vnH3ss7LFH\n7jT51OrksxDCKsCDwLrAZ8BRMcbv5vO8z4DvgNnAjBhjmR9YIEmL1qhRWrDfogVUVaV1Y1Kl6NkT\nxo5NLV0qWW1HxC4EBsUYNwZeAC5awPNmA1Uxxm0swiTpP9ZbD268EX79a5gyJXcaqX6MHg2XXJLe\niCy1VO40edVqsX4IYTSwe4xxYghhDWBIjHGT+Tzv78D2McZJ1XhNF+tLqjgnnJB2i915Z+4kUt2a\nPh123DFNS552Wu40tZd7sf7qMcaJADHGCcDqC3heBAaGEEaEEE6q5TUlqezcdBO8/HLavi+Vs0su\ngaZN4dRTcycpDotcIxZCGAg0mfchUmF16XyevqChrJ1jjONDCKuRCrIPY4wvL3ZaSSpTyy8P992X\nWlq0bJmmLKVy88wz8MADMHJk6fULqyuLLMRijPss6L+FECaGEJrMMzX5jwW8xvg5n78OITwGtAAW\nWIh17979319XVVVRVVW1qJiSVPK23x7OPz/tInvppbSYXyoX48ZBx46pEFt11dxpam7IkCEMGTKk\nYK9X2zViVwOTY4xXhxAuAFaJMV74s+csCzSIMU4JISwHPA/8Nsb4/AJe0zVikirW7NnQunVaQ/Pb\n3+ZOIxXGrFmwzz6w++7pRIlykrWzfgihMfAQsA7wOal9xbchhDWBO2KMB4UQ1gceI01bNgLujTFe\ntZDXtBAmlwCLAAAOwUlEQVSTVNHGj0+tLO65B/bcM3caqfYuvxwGDYLBg6Fhw9xpCssjjiSpDA0a\nlA4/fvNNWGON3Gmkmhs2DNq2TX+WmzbNnabwcu+alCTVgb33Tke/HHdcmtaRStHkyWnNY+/e5VmE\nFYIjYpJUpGbNSgXZHntA166500iLJ0Zo0wY23BCuvz53mrpT2xEx9+RIUpFq2DC1tNhuO9h118o+\nj0+l59prYcIEjzBaFEfEJKnIDRwIHTrAW29BkyaLfLqU3bBhcOSRMGIENGuWO03dco2YJJW5ffZx\nvZhKx8SJ6ezUvn3LvwgrBAsxSSoB3brBzJnwu9/lTiIt2KxZqQg74QTYf//caUqDU5OSVCImTkzd\n92+7DQ46KHca6X9deim8+io8/3z59QtbEPuISVIFeeUVOOyw9HnDDXOnkf7jqafglFPSWsbVV8+d\npv5YiElShbnlFujZM408LLts7jQSfP45tGgBjz4Ku+ySO039shCTpAoTI7Rrl76+6y4INf4nQKq9\nqVNT8XXccfCb3+ROU/8sxCSpAk2dmg4GP/lkOOOM3GlUqWJMBVgIcPfdlfmmwIauklSBll02TQPt\ntBNss036LNW3Hj3gww/h5ZcrswgrBEfEJKmEDRgAp54Kr78Oa62VO40qyeDBaTTstddg3XVzp8nH\nhq6SVMEOOghOOy2d6ffTT7nTqFJ89lk6zPv++yu7CCsER8QkqcTFmJpoNmpUuet0VH+mTk1T4Sec\nAJ07506Tn4v1JUlMnQq77QZt28IFF+ROo3IVIxxzDCy5ZDrCyKLfxfqSJNLi/ccfh5YtYfPN7byv\nuvH738OYMTBkiEVYobhGTJLKxNprp52UHTvC++/nTqNy88ADcOed8MQTsMwyudOUDwsxSSojrVrB\ntdfCoYfCpEm506hcvPYanH029O8Pa6yRO015sRCTpDLTrh0cfjgccQRMm5Y7jUrdZ5+lP099+sCW\nW+ZOU35crC9JZWj2bDjqKFhqqbSTsoFvu1UD338PO+8MnTq5Q3JB3DUpSZqvn36CvfaCPfaAK67I\nnUalZuZMOOSQ1Cfs1ltdnL8gNnSVJM3XMsukhdUPPQR33JE7jUpJjGkEbOZMuPFGi7C6ZPsKSSpj\nq60GTz8Nu+4K66wDrVvnTqRScOWV8Ne/wtChsMQSudOUN0fEJKnM/fKX8Je/pEX8b7+dO42K3Z13\nQu/e8MwzsOKKudOUPwsxSaoAO+0Et9wCBx+cdsFJ8zNgAFxyCTz7LKy5Zu40lcGpSUmqEG3bwoQJ\nsO++MGwYNGmSO5GKyWuvpfMjBwyA//u/3Gkqh4WYJFWQs86CyZPTWrEXX4SVV86dSMVg9Gho0wb6\n9UvHZKn+2L5CkipMjHDOOfDWW/Dcc+mcSlWuL79Mmzm6dYMOHXKnKT32EZMkLbbZs6F9+3QM0uOP\nw5JL5k6kHCZMgN13h5NOgi5dcqcpTfYRkyQttgYN0u64Ro1SQTZrVu5Eqm///CfsvTccd5xFWE4W\nYpJUoZZYAh58EMaPh9NPT6Nkqgzffps2bRxyCFx6ae40lc2pSUmqcN9/D/vvnw50vuUWz6Usdz/8\nkIqwli2hRw+75teWa8QkSbVmMVYZpk5N93nTTeG22yzCCsFCTJJUEBZj5e3HH+HQQ6FpU+jTx/tb\nKC7WlyQVxIorpmNt3n0XzjjDNWPl5PvvU++4Zs3SJg2LsOLhrZAk/ZvFWPmZPDntjtxyS+jVCxo2\nzJ1I87IQkyT9l7nF2KhR6cibGTNyJ1JN/eMfsMceqVfYzTc7ElaMvCWSpP+x4oqp6/7XX8MRR8BP\nP+VOpMU1blwqwNq0gT/+0YX5xcpCTJI0X8stB088ASusAPvtB999lzuRquvvf4fddkvNen/7W4uw\nYmYhJklaoCWWgLvvhq22SqMrEybkTqRFeeMN2Hln+M1v4MILc6fRoliISZIWqkEDuPFGOPxw2GUX\nGDMmdyItyIABcMABqUfY6afnTqPqaJQ7gCSp+IUAXbvCqqumYuwvf4FWrXKn0rxuvx26d4cnn0xd\n81UabOgqSVosAwak3ZQ33ADHHJM7jWKESy6BRx5Ju1033DB3ospiZ31JUr0bNSodGH3ccWkxuG0R\n8pg6FU46KS3O798/jViqftlZX5JU77bYAoYPhxdegKOOSsfnqH599llalA8weLBFWKmyEJMk1cjq\nq6cCYNllU6uEsWNzJ6ocAwemNXodOsA998Ayy+ROpJqyEJMk1djSS0O/fvCrX8EOO8DTT+dOVN5i\nTM1Z27eHBx6Azp3tEVbqXCMmSSqIYcPS4v1jj4Xf/z71IFPhTJkCHTumKclHH4V11smdSOAaMUlS\nkdh1V3jrLXjnHaiqcqqykIYPh222gZVXhqFDLcLKiYWYJKlgVlsNnnoq7ajcYYf0tWpu5kz43e/S\n/8+rr4aePdN0sMqHU5OSpDrx8stpmnLffeHaa2GllXInKi2ffprag6ywAvTtC2utlTuR5sepSUlS\nUdpll9RvrFEjaN7chfzVFSPceWfaFXn00fDssxZh5cwRMUlSnXvhBejUKa0j69EDGjfOnag4ffhh\nOiPy++/TbtTmzXMn0qI4IiZJKnp77gnvvpumJ7fYAh56KI38KJk6FS6+OPVjO/xweP11i7BK4YiY\nJKlevfwynHUWLL88XH99WtRfyQYMSP8/WrVK/z/WXDN3Ii0Oz5qUJJWcWbPSAvTLLoO994Yrr4S1\n186dqn6NHAmXXgoffwy33AL77JM7kWrCqUlJUslp2BBOPBH+9jdo1gy22gq6dYPvvsudrO598AG0\nbQsHHgitW6cNDRZhlctCTJKUzQorwOWXp9Ghzz6DDTaACy+ECRNyJyu8MWOgXbvU7HaHHeCTT9KU\n5FJL5U6mnCzEJEnZNWuWdgm++WY6ymfTTeG001LxUspiTEc/zT2Lc4MN0lTk//t/6bB0yUJMklQ0\n1lsPbr4ZRo9OLS5atEjTeM88k7rMl4qpU6FXr3QsUadOqafamDHQvbuNbfXfarVYP4RwJNAd2BTY\nIcb41gKe1xr4E6nw6x1jvHohr+lifUkSkNaM3XdfWtg/diwcfzy0bw+bbZY72f+aPRteeQUefhju\nvRd22gnOPDNtRmjgsEfZyr1YfxRwGPDSgp4QQmgA3AzsB2wO/DqEsEktr6siNGTIkNwRVAvev9JV\nzvdupZXSFOXw4TBoUHps773TSNkf/pCmMmfPzpdv5kwYPDg1YW3aNH1u3BhGjID+/dPxTosqwsr5\n/mnRalWIxRj/FmP8GFhYJdgC+DjG+HmMcQbwAHBoba6r4uRfJqXN+1e6KuXebbZZOvj6iy/SAv8J\nE9JZlk2awDHHpDVmY8fWbaPY6dNTUdijR5oyXXPNtLmgWTMYOjQ1re3WDdZfv/qvWSn3T/PXqB6u\n0RQYO8/3X5KKM0mSFlujRmmkad990/effw7PP58ao55/fupRtsUW//2x7rrwi19Uf4fijz+mXZxz\nPz79NI1yjRwJv/xlmnZs0wauuy4VYVJNLbIQCyEMBJrM+xAQgUtijE/WVTBJkqpj3XXhpJPSB8DE\niWlkatQoePVV6NkTvvwSJk2CpZdOBdmqq8LKK6eibfp0mDYtfZ4+HSZPTjs31103bR6Y+9G9e5oS\nXWGFfL9XlZ+CdNYPIbwInDe/xfohhFZA9xhj6znfXwjEBS3YDyG4Ul+SJJWM2izWL+TU5IJCjAA2\nCiGsC4wHjgZ+vaAXqc1vRpIkqZTUarF+CKFNCGEs0AoYEEJ4Zs7ja4YQBgDEGGcBZwLPA+8DD8QY\nP6xdbEmSpNJXdId+S5IkVYqiaTEXQmgdQhgdQvgohHBB7jxauBDC2iGEF0II74cQRoUQzp7z+Coh\nhOdDCH8LITwXQrCHdJEKITQIIbwVQug/53vvXYkIIawUQng4hPDhnJ/Blt6/0hBCODeE8F4I4d0Q\nwr0hhCW9d8UrhNA7hDAxhPDuPI8t8H6FEC4KIXw852dz3+pcoygKMZu+lqSZwG9ijJsDOwJnzLln\nFwKDYowbAy8AF2XMqIXrDHwwz/feu9JxA/B0jHFTYCtgNN6/ohdCWAs4C9g2xrglaZ32r/HeFbM+\npNpkXvO9XyGEzYCjSKcN7Q/cGkJY5Lr3oijEsOlryYkxTogxvj3n6ynAh8DapPvWb87T+gFt8iTU\nwoQQ1gYOAHrN87D3rgSEEFYEdo0x9gGIMc6MMX6H969UNASWCyE0ApYBvsJ7V7RijC8D3/zs4QXd\nr0NI6+Bnxhg/Az6mGn1Ti6UQm1/T16aZsmgxhRDWA7YGXgOaxBgnQirWgNXzJdNC9ADOJ/UEnMt7\nVxrWB/4ZQugzZ2q5ZwhhWbx/RS/GOA64DviCVIB9F2MchPeu1Ky+gPv181rmK6pRyxRLIaYSFUJY\nHngE6DxnZOznuz/cDVJkQggHAhPnjGgubNjce1ecGgHbArfEGLcFfiRNlfizV+RCCCuTRlPWBdYi\njYwdi/eu1NXqfhVLIfYVMO8hEWvPeUxFbM7Q+iPA3THGJ+Y8PDGE0GTOf18D+EeufFqgnYFDQghj\ngPuBPUMIdwMTvHcl4UtgbIzxjTnfP0oqzPzZK357A2NijJPntHZ6DNgJ712pWdD9+gpYZ57nVauW\nKZZC7N9NX0MIS5KavvbPnEmLdifwQYzxhnke6w90mPN1e+CJn/8i5RVjvDjG2CzGuAHpZ+2FGOPx\nwJN474renCmRsSGE/5vz0F6kHo3+7BW/L4BWIYSl5yzi3ou0YcZ7V9wC/z17sKD71R84es5O2PWB\njYDXF/nixdJHLITQmrQTqAHQO8Z4VeZIWogQws7AUGAUaVg2AheT/tA9RHpX8DlwVIzx21w5tXAh\nhN1Jx5MdEkJojPeuJIQQtiJttFgCGAOcQFoE7v0rciGEbqQ3QDOAkUAnYAW8d0UphHAfUAX8ApgI\ndAMeBx5mPvcrhHARcCLp/naOMT6/yGsUSyEmSZJUaYplalKSJKniWIhJkiRlYiEmSZKUiYWYJElS\nJhZikiRJmViISZIkZWIhJkmSlImFmCRJUib/H9hrQEn5WsDdAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1083ba278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What is `[<matplotlib.lines.Line2D at 0x107120da0>]`? That's what the `plot()` function returned. Jupyter shows the result of the last line in a cell. We can hide it by appending a semicolon at the end of the cell or assigning the result to a variable."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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a/+XUpCQVoc6dUxuLG27InUQqbWeeCcccU5xFWCE4IiZJdWTMGGjZEoYOhU03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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106c67cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(y);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multiple plots in one figure\n",
"\n",
"We can compose a figure from multiple overlayed plots. Note that subsequent lines get various colors."
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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c6N0bCA6mjswGZ+FCepZJDYoRmKiJ0M7WxvyN6Ni8I/q173frtYceou4Ohm8W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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106c01e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 2 * np.pi, 100)\n",
"plt.plot(x, np.cos(2*x))\n",
"plt.plot(x, np.cos(2*x - np.pi / 2))\n",
"plt.plot(x, np.cos(2*x - np.pi));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can compose a figure of various type of plots. Eg. histogram + line plot."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sEamynBxo1gxat/7Zd5S4Vq9eMDdr1izfSUQkFlRkiUiVvfwynHee7xSJQUOG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\ng0gSGDcObr7ZdwqJZ8Vra3X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"text/plain": [
"<matplotlib.figure.Figure at 0x106b62f98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(-5, 5, 100)\n",
"plt.hist(np.random.normal(size=1000), bins=25, normed=True, alpha=0.2, label='empirical')\n",
"plt.plot(x, np.exp(-0.5 * x**2) / np.sqrt(2 * np.pi), 'b', label='analytical')\n",
"plt.suptitle('Gaussian distribution')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Changing the style of a plot\n",
"\n",
"### Line Style\n",
"\n",
"- vertices\n",
" - `marker`: `. , o v ^ < > + x`...\n",
"- edges\n",
" - `color` (`c`): `r g b c m y b`\n",
" - `linestyle` (`ls`): `- -- -. :`\n",
" - `linewidth` (`lw`): float number\n",
"\n",
"Can be combined in to a style string."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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K38+UXk81qYmvwZHxR1B1iGeK9yTcsiUDXbYOI3eMVMXZbkv2uhmUdOarlDgc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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106b8e780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 2 * np.pi, 100)\n",
"plt.plot(x, np.cos(2*x), 'k--', linewidth=10) # black, dashed, thick\n",
"plt.plot(x, 1 + np.cos(2*x), 'm:', lw=2) # magenta, dotted, semi-thick, `lw` is shorthand\n",
"plt.plot(x, 2 + np.cos(2*x), '+b '); # blue, + markers, void line"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Object oriented API\n",
"\n",
"- backend layer\n",
" - `FigureCanvas` - area where Figure is drawn\n",
" - `Renderer` - known how to draw\n",
"- frontend layer\n",
" - `Artist` - parts of the plot\n",
" - primitive\n",
" - `Line2D`\n",
" - `Rectangle`\n",
" - `Text`\n",
" - `Image`\n",
" - container\n",
" - `Figure` - full plot\n",
" - `Axes` - single subplot\n",
" - `Axis` - one axis\n",
"- scripting layer\n",
" - stateful API\n",
"\n",
"`Axes` is the most used part of the API."
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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a5cRiS1LVWXRRuO466NgRpkzJnUYqnYsvhp//HA48MHcSzc5tRElV67e/hZYt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dbe2588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"axes = fig.add_subplot(111)\n",
"x = np.linspace(0, 2 * np.pi, 100)\n",
"y = np.sin(x)\n",
"axes.plot(x, y);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Anatomy of a plot\n",
"\n",
"- figure\n",
" - axes\n",
" - x axis\n",
" - ticks\n",
" - labels of x and y axes\n",
" - y axis\n",
" - plots - sin(), cos()\n",
" - label for each plot - shown in a legend\n",
" - lines\n",
" - legend\n",
" - figure title\n",
" - rectangle"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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meZuqeBMrtAIXiy5fhuzZ3XFZJUpYieCpybsn03NlT0Kah5AwfkLbccQDv/7q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\npZRSSimX+f8CABjVQ0iNRgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107614278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 2 * np.pi, 100)\n",
"plt.plot(x, np.sin(x), label='$sin(x)$')\n",
"plt.plot(x, np.cos(x), label='$cos(x)$')\n",
"# labels for x and y axes\n",
"plt.xlabel('angular frequency ($x$)')\n",
"plt.ylabel('$sin(x)$')\n",
"# title of the plot\n",
"plt.suptitle('Sinusoid')\n",
"# shows the box with plot labels, lower-left location is better than default\n",
"plt.legend(loc='lower left');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Output to files"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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a5cRiS1LVWXRRuO466NgRpkzJnUYqnYsvhp//HA48MHcSzc5tRElV67e/hZYt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107553208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 2 * np.pi, 100)\n",
"y = np.sin(x)\n",
"plt.plot(x, y)\n",
"plt.savefig('sinusoid.png');"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-r--r-- 1 zamecnik 1022532890 13882 Jan 7 11:17 sinusoid.png\n"
]
}
],
"source": [
"%%sh\n",
"# the plot was saved to a file and we can show\n",
"ls -l sinusoid.png"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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0CgTM9pJdu5pZaPyB3uKMhwgBwIJSpaQePaQhQ2wnAaJXcrLZfaNLF9tJ4DXM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\ntqwD4IwCDQBwTdGi0scf/1G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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# it is exactly the same what was plotted into the notebook\n",
"from IPython.display import Image\n",
"Image('sinusoid.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Subplots - multiple plots in one figure"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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5kkgo+RIRESmPki+p2muvwYYNsNNOyVxfyZeIiNQTJV9StXXrwlpbca9uX6DZ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\nL75YrV8Sr8F82RZWkge6V2S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ms90r3WcyGZqbm9WCU0LhtQKYNGkS999/P4Be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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d4e6ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax0, ax1) = plt.subplots(1, 2)\n",
"\n",
"x = np.linspace(-4 * np.pi, 4 * np.pi, 80)\n",
"y = np.sin(x) / x\n",
"ax0.plot(x, y)\n",
"ax0.set_title(\"line plot\")\n",
"\n",
"ax1.stem(x, y)\n",
"ax1.set_title(\"stem plot\");\n",
"\n",
"fig.suptitle('two subplots of $sinc(x)$', size=15);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Changing configuration parameters\n",
"\n",
"http://matplotlib.org/users/customizing.html\n",
"\n",
"```\n",
"import matplotlib as mpl\n",
"mpl.rc('figure', figsize=(20,10))\n",
"mpl.rc('image', interpolation='nearest', cmap='gray')\n",
"```\n",
"\n",
"or \n",
"\n",
"```\n",
"import matplotlib as mpl\n",
"mpl.rcParams['image.interpolation'] = 'nearest'\n",
"```\n",
"\n",
"Can be saved into a `matplotlibrc` file. A bit similar to `.bashrc`."
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Using Artists directly\n",
"\n",
"### Lines"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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u4MuZed8s750JTGXmyvbra4DMzOu7HMtmckmVG4aH7nabfBNwckQsi4glwIXA+grnlaS+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\nYEhKUsH/A+G2qhq7yKu2AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106afb8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.lines import Line2D\n",
"from matplotlib.patches import Rectangle\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"# line\n",
"ax.add_line(Line2D([0, 1, 0], [-1, 0, 1], ls='--'))\n",
"ax.set_xlim(-1.5, 1.5)\n",
"ax.set_ylim(-1.5, 1.5)\n",
"ax.set_aspect('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rectangles"
]
},
{
"cell_type": "code",
"execution_count": 284,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAANMAAAEACAYAAAAp2kPsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b9c29b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.lines import Line2D\n",
"from matplotlib.patches import Rectangle\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111)\n",
"\n",
"# rectangles\n",
"ax.add_patch(Rectangle([0, 0], 1, 3, fc='y', lw=0))\n",
"ax.add_patch(Rectangle([1, 0], 1, 1, fc='y', lw=0))\n",
"ax.add_patch(Rectangle([2, 0], 1, 3, fc='g', lw=0))\n",
"ax.add_patch(Rectangle([1, 1], 1, 1, fc='g', lw=0))\n",
"ax.add_patch(Rectangle([3, 0], 1, 3, fc='b', lw=0))\n",
"ax.add_patch(Rectangle([0, 3], 1, 2, fc='r', lw=0))\n",
"ax.add_patch(Rectangle([1, 2], 1, 2, fc='r', lw=0))\n",
"ax.add_patch(Rectangle([2, 3], 2, 2, fc='m', lw=0))\n",
"ax.add_patch(Rectangle([1, 4], 1, 1, fc='c', lw=0))\n",
"\n",
"ax.set_xlim(0, 4)\n",
"ax.set_ylim(0, 5)\n",
"ax.set_aspect('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bonus examples"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Interactive plots\n",
"\n",
"Allow manipulating the parameters interactively.\n",
"\n",
"In package `ipywidgets`. Similar to [`Manipulate`](https://reference.wolfram.com/language/guide/InteractiveManipulation.html) in Wolfram Mathematica.\n",
"\n",
"[Example notebooks](https://github.com/ipython/ipywidgets/blob/master/examples/notebooks/Index.ipynb). [Basic usage](https://github.com/ipython/ipywidgets/blob/master/examples/notebooks/Using%20Interact.ipynb)\n",
"\n",
"Previously it was a part of IPython, now it is a separate package."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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lS1sX+B6NlDLtg7Q1uz//8+mjJORXq2SuR9vm1rdlf8Au3eN2WqHjcR5LV1YO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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d7b4080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# import ipywidgets\n",
"from ipywidgets import interact\n",
"\n",
"def plot_sinusoid(freq1, freq2):\n",
" x = np.linspace(0, 2 * np.pi, 2000)\n",
" y = np.cos(freq1 * x) + np.cos(freq2 * x)\n",
" plt.plot(x, y)\n",
"\n",
"# Pass a function that takes the parameters (and eg. draw a plot).\n",
"# Pass ranges for each parameter that can be manipulated.\n",
"interact(plot_sinusoid, freq1=100, freq2=101);"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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EYmEbMQqsor4t6WYoiBrSp4ZcTEI1W1YMzWG27rxz8l7cjCblkuhD0HnM8MA6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\nvt5DRF8C8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hEdAeBsAP887XvpKQjd8WW9weB4vac75z4FAM65h4xoVeMMAHfGiBbQHQOV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dd90898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ipywidgets import IntSlider\n",
"\n",
"# - explicitly defining widgets - IntSlider\n",
"# - setting initial values\n",
"interact(plot_sinusoid,\n",
" freq1=IntSlider(min=1, max=200, value=100),\n",
" freq2=IntSlider(min=1, max=200, value=101));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Seaborn\n",
"\n",
"http://www.neural.cz/dataset-exploration-boston-house-pricing.html"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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AERFICIiAIiIAiIgLOh+bt9a3rRQ/N2+tb1myQiIoAREQBERAEREAREQBEUd9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\nLWt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43K3QSuDg06gq2kiyYdkCWWLclUkyqGu+dyHgTorGaVzyRsOS0PY14s4XWkdir3JO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\nBERAEREAREQBERAEREAREQBERAEREB//2Q==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('http://i.snag.gy/cKwSd.jpg')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3D plots\n",
"\n",
"Example adapted from the Matplotlib docs.\n",
"\n",
"http://matplotlib.org/mpl_examples/mplot3d/surface3d_demo.py"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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5fH4uWvLKiI5muq5nqlvZJHi1HA7DY6vjz4GKWDnX3TH8WkWsOIVHFLzEipub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\nCGE5/z8LZBRTRkZ6AQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dd48550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(15,10))\n",
"ax = fig.gca(projection='3d')\n",
"X = np.arange(-5, 5, 0.25)\n",
"Y = np.arange(-5, 5, 0.25)\n",
"# creates a 2D grid on which the function is evaluated\n",
"X, Y = np.meshgrid(X, Y)\n",
"R = np.sqrt(X**2 + Y**2)\n",
"Z = np.cos(0.75*R)\n",
"# evaluates the function\n",
"surf = ax.plot_surface(\n",
" X, Y, Z,\n",
" rstride=1, cstride=1, cmap='coolwarm',\n",
" linewidth=0, antialiased=False)\n",
"\n",
"# in addition a contour plot at the bottom\n",
"cset = ax.contour(X, Y, Z, zdir='z', offset=-3, cmap='coolwarm')\n",
"ax.set_zlim3d(-3, 1)\n",
"\n",
"fig.colorbar(surf, shrink=0.5, aspect=5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Geographical maps"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```\n",
"$ conda install basemap\n",
"$ conda install proj4\n",
"$ conda install Pillow\n",
"```\n",
"\n",
"More examples: http://matplotlib.org/basemap/users/examples.html"
]
},
{
"cell_type": "code",
"execution_count": 286,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from mpl_toolkits.basemap import Basemap"
]
},
{
"cell_type": "code",
"execution_count": 287,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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