{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting in Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Visualization is a universal tool** for investigating and communicating results of\n", "computational studies and plotting is the final goal to share deeper insights with a wider audience.\n", "\n", "In the scientific computing environment for Python, there are a number of high-quality visualization libraries. \n", "* The most popular general-purpose visualization library is **Matplotlib**, which mainly focuses on generating static publication-quality 2D and\n", "3D graphs. \n", "Many other libraries focus on niche areas of visualization. A few prominent\n", "examples are \n", "* Bokeh (http://bokeh.pydata.org) \n", "* Plotly (http://plot.ly)\n", "\n", "both primarily focus on interactivity and web connectivity\n", "\n", "* Seaborn (http://stanford.edu/~mwaskom/software/seaborn) which is a high-level plotting library which targets\n", "statistical data analysis and which is based on the Matplotlib library,\n", "* the Mayavi library (http://docs.enthought.com/mayavi/mayavi) for high-quality 3D visualization, which uses the venerable VTK software (http://www.vtk.org) for heavy-duty scientific visualization. \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The command `%matplotlib inline` configures the Matplotlib to use the **“inline” backend,**\n", "which results in the created figures being displayed directly in the Jupyter\n", "Notebook, rather than in a new window." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib as mpl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The statement `import matplotlib as mpl` imports the main Matplotlib module." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The import statement `import matplotlib.pyplot as plt`, is for convenient access to the `submodule matplotlib.pyplot` that\n", "provides the functions that we will use to create new Figure instances." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A `Figure` can contain multiple `Axes` instances, for example, to show multiple panels in a figure. The `Axes` instance provides a coordinate system that can be used to plot data in a variety of plot styles, including `line graphs`, `scatter plots`, `bar plots`, and many otherw. In addition, the `Axes` instance also determines how the coordinate axes are displayed, for example, with respect to the axis labels, ticks and tick labels, and so on. In fact, most functions that are needed to tune the appearance of a graph are methods of the `Axes class`. As a simple example for getting started with Matplotlib, say that we would like to graph a function $y(x)$ over the range $x \\in [-5, 2]$. \n", "\n", "To do this we first create NumPy arrays for the $x$ range and then compute the three functions we want to plot. When the data for the graph is prepared, we need to create `Matplotlib Figure` and `Axes` instances, then use the plot method of the `Axes` instance to plot the data, and set basic graph properties such as $x$ and $y$ axis labels, Plotting and Visualizatiusing the `set_xlabel` and `set_ylabel` methods and generating a legend using the legend method. These steps are carried out in the following code, and the resulting graph is shown now:\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-5, 2, 100) # create our x\n", "y1 = x**3 + 5*x**2 + 10\n", "y2 = 3*x**2 + 10*x\n", "y3 = 6*x + 10\n", "fig, ax = plt.subplots()\n", "ax.plot(x, y1, color=\"blue\", label=\"y(x)\")\n", "ax.plot(x, y2, color=\"red\", label=\"y'(x)\")\n", "ax.plot(x, y3, color=\"green\", label=\"y”(x)\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A `Figure` object can be created using the function `plt.figure`, which takes several\n", "optional keyword arguments for setting figure properties. \n", "\n", "In particular, it accepts the `figsize` keyword argument, which should be assigned to a tuple on the form `(width,\n", "height),` specifying the width and height of the figure canvas in inches. One can also specify the color of the figure canvas by setting the `facecolor` keyword\n", "argument.\n", "Once a Figure is created, we can use the `add_axes` method to create a *new\n", "Axes* instance and assign it to a region on the figure canvas. The `add_axes` takes one\n", "mandatory argument: a list containing the coordinates of the *lower-left corner* and\n", "*the width and height of the Axes* in the figure canvas coordinate system, on the format\n", "**(left, bottom, width, height).** " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8, 2.5), facecolor=\"#f1f1f1\")\n", "# axes coordinates as fractions of the canvas width and height\n", "left, bottom, width, height = 0.1, 0.1, 0.8, 0.8\n", "ax = fig.add_axes((left, bottom, width, height),facecolor=\"#e1e1e1\")\n", "x = np.linspace(-2, 2, 1000)\n", "y1 = np.cos(40 * x)\n", "y2 = np.exp(-x**2)\n", "ax.plot(x, y1 * y2,color=\"blue\")\n", "ax.plot(x, y2, 'g')\n", "ax.plot(x, -y2, 'g')\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "fig.savefig(\"graph.pdf\", dpi=100, facecolor=\"#f1f1f1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Figure` provides the backbone of a\n", "*Matplotlib graph*, but all the interesting content is organized within or around `Axes`\n", "instances. We have already encountered `Axes` objects as it is essential to most plotting activities with the `Matplotlib` library.\n", "It **provides the coordinate system in which we can plot data and mathematical functions**,\n", "and in addition it contains the axis objects that **determine where the axis labels and the\n", "axis ticks** are placed. The functions for drawing different types of plots are also methods\n", "of this `Axes` class. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some examples to see what happens\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "x=np.linspace(-5,5,5)\n", "y=np.ones_like(x)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def axes_settings(fig, ax, title, ymax):\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " ax.set_ylim(0, ymax+1)\n", " ax.set_title(title)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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QR3PRRdL69UUnypdaXim9zOQtRmmEZmDbfnu0fmm9224bnv+V3norecncmry1zsqkcQQAIBKXXCIdemjRKeqXWl4pvczkHT6lg/OeWT3t/dHHeg0OSr9dPVWSdOSRTQ5Ww1FHhVvytk5qmZuVd+jA7V3ROAIAEInDDpMuvbToFPVLLa+UXmbyDp/x46WPfER644UD9dzaKQ2t++yaKXrjxQM1ZYp04oktClhh7lzytlpqmZuVV3qrv9oye904DtdQMRNTERMAANg3mEnnnRf+Xnnrsdq5o74Lcu3cYVp1a7ga0Hnn1To7rPnGjCFvq6WWuVl5a2HEEQAAAJDU1SVNmOB6/okj9MCFJ+x2w3vnDtMDF56g5588QhMmuM49d5iCZsjbeqllbmVeGkcAAABA0qRJ0vLlprY21/r7P6k7TpunZ1ZP+cD5YoOD0jOrp+iOU+dp/f2fVFuba/ly06RJ5B1JeVPM3Mq8Y1obHQAAAEjHjBnS6tWmU04JozbPP3GEJv7J2/rEnJfV1v6eBrbtp9+unqo3XjxQUhjdWb7cNGMGeUdi3hQztyqveQMncnV2dnpPT8/evA8geWbW6+6dReeohhoFqFEgdrHWaGV9bt4sLV4s3XmntGHDB5efMkU6/3zpnHNUyEhYJfK2XmqZ9zRvrRqlcQQaFOsXnkSNAhI1CsQu1hqtVZ87d0orVkjPPSdt2ya1t4efVzjxxOG9UEu9yNt6qWVuNG+tGuVQVQAAAKCG0aOlk04KUwrI23qpZW5WXi6OAwAAAADIReMIAAAAAMhF4wgAQCS6u4tO0JjU8krpZSYvgFjQOAIAEIlrrik6QWNSyyull5m8AGJB4wgAAAAAyEXjCABAwV5/Xbr44vD3mjXFZqlHanml9DKTF0BsaBwBACjYPfdIZtI//IN0+unxb3inlldKLzN5AcSG33EEAKBgl1469PfkydL69dLs2cXl2Z3U8krpZSYvgNjQOAIAEJHZs9Pa4E4tr5ReZvICiAGHqgIAAAAActE4AgAAAABy0TgCAAAAAHLROAIAAAAActE4AgAAAABycVVVAAAAIMfTT0urV0v9/dL48dKcOdIxxxSdqjbytl5qmZuRl8YRAAAAqGL1aunaa6VHH/3gY8cdJ111VdgAjwV5Wy+1zM3MS+MIAAAAVLjrLqmryzU4aBo3bpsWLFiijo4+9fV1aMmSBXr00XadeKJr8WLT2WcXnZa8wyG1zE3P6+51T9OnT3dgXyepxxuom+GcqFGAGgViF2uNltfnqlXuo0YNuuR+2WU3eH//uF0W7+8f55dddoNLYblVq1rwQTWAvK2XWua9yVurRvnCAxoU6xeeU6OAu1OjQOxirdHy+jzuOH9/gztvtdKG98yZzf2MGkXe1kst897krVWjFh6rT2dnp/f09DQ+TgqMIGbW6+6dReeohhoFqFEgdrHWaKk+n35a+tSnpHHjtqmvr0Pt7dtrrtPf367DD39N27e369e/LubiKORtvdQy723eWjXa1J/jMGNiSn8ayaq9x5NPDvOWLx+at2hRmNfVNTSvry/M6+jYdf3p08P83t6hed3dYV5399C83t4wb/r0Xdfv6Ajz+/qG5nV1hXmLFg3NW748zDv5ZN4T72nkuflm6eKLpV/9KtzefHPRifKllldKLzN5i7N6dbhdsGBJ7ga3JI0fv03z5y/dZb3hRt7WSy1zq/LyO44AABTszDNDc/y5z4XbM88sOlG+1PJK6WUmb3H6+8NtR0df/oLadbkLLyxmh/eFF5KXzM3JW/q3X1PuQa+cmwF8gCI9N8OpUcDd065Raa/f/rBKLa97eplHYt5Ya7RUn7ffHt7HWWf9qK5Vzzzz710K6xWBvK2XWua9zVurRhlxBAAAADKl37RbsmSBtm0bl7tsf3+7li6dv8t6w428rZda5lblpXEEACASV19ddILGpJZXSi8zeYffMceEH0bfvr1dN954We6yN930XW3f3q6ZM4u7cAt5Wy+1zC3LW9f4ZZ2H2AD7AkV6iI1To4C7U6NA7GKt0bzfcdy6tX2XxbdubY/6N/vI23ypZd6bvLVqlJ/jABoU62XEJWoUkKhRIHax1mhlfd51l9TV5RocNI0bF6482dHRp76+Di1dOl/bt7dr1CjX4sWms88uMDh5h01qmfc0b60apXEEGhTrF55EjQISNQrELtYarVafq1dL110nrVv3weVnzpS+971iz72rRN7WSy3znuStVaNjWhUSAAAASNmcOWF6+umwAd7fL40fH+YVec5dLeRtvdQyNzMvjSMAAACQ45hj4mwKaiFv66WWuRl5uaoqAAAAACAXjSMAAAAAIBeNIwAAAAAgF40jAAAAACAXjSMAAAAAIBeNIwAAAAAgF40jAAAReOop6cYbw20KUssrpZeZvABiwu84AgBQsKeeCj/G/N570n77hR9pnjGj6FS1pZZXSi8zeQHEhhFHAAAKtnZt2ODeuTPcrl1bdKJ8qeWV0stMXgCxoXEEAKBgs2aFUZrRo8PtrFlFJ8qXWl4pvczkBRAbDlUFAKBgM2aEQ/vWrg0b3LEf4pdaXim9zOQFEBsaRwAAIjBjRlob26nlldLLTF4AMeFQVQAAAABALhpHAAAAAEAuGkcAAAAAQC4aRwAAAABALhpHAAAAAEAuGkcAAAAAQC4aRwAAAABALn7HEQAAAMixZYu0dKm0aZN06KHS/PnSwQcXnao28rZeapmbkZfGEQAAAKjCXbr+emnhQtfAgL0//4ILXJdfbrrySsks5wmGGXlbL7XMzczLoaoAABRo8uTwpV05TZ5cdLLqUssrpZeZvPG4/nrpqqukgQHTXK3QZVqouVqhgQHTVVeFx2NC3tZLLXMz85q7171wZ2en9/T07EFkYOQws1537yw6RzXUKJBejebt6W3gK3rYpJZXSi/zSM8ba41W1ueWLdLhh4dRmmU6Vafqp+8/tkynap6Wqa3N1ddnOuigIhLvirytl1rmPc1bq0YZcQT2IdX2COdN06dXX7/c9OmNP2+19Xt7h+Z1dTX+nNXWX7RoaN6iRY0/Z7X1u7qG5vX2Nv6c1dav9Tnz3yk/EwC00tKlQ6M05RvcknSa/lEnaKUGBkxLlxYUsAJ5Wy+1zM3O2/TGsdGNCCam2CYAAIBNm8Jtp6ofyXOs1kuSzj23+G0Xs6Edk+Qlc6N5N26s+vAHNL1xdGdiSnsayRr9LMpHh8rXL9fbu3efcWn98lGzRYsaf85q65eP7nV1Nf6c1dYvHx2bPr3x56y2fq3Pmf9O+1Z9AojLoYeG2x5VP6p2vY6VJC1evHfbHc2aSt8v5CVzo3nrPR+ZQ1UBAACACvPnS21trpU6Uct06i6PLdOpWqW52n9/1/z5BQWsQN7WSy1zs/PSOAIAUKDSqEa984uWWl4pvczkjcPBB0uXX26SpHlaprlaoct1g+ZqheZpmSTpssviuAiKRN7hkFrmZufldxwBAChQveeWxCK1vFJ6mckbjyuvDLcLF7pWDczVKs2VFEZxSr+BFxPytl5qmZuZl5/jABoU62XEJWoUkKhRIHax1mhefW7ZIj30UGiSJ08OhwDGMqpUDXlbL7XMjeStVaOMOAIAAAA5Dj5YOuecolPUj7ytl1rmZuTlHEcAAAAAQC4aRwAAAABALhpHAAAAAEAuGkcAAAAAQC4aRwAAAABALhpHAAAAAEAuGkcAACLw+uvSzJnp/Jh6anml9DKTF0BMaBwBAIjAdddJjz8uXXtt0Unqk1peKb3M5AUQE3P3uhfu7Oz0np6eFsYB4mdmve7eWXSOaqhRIL0a3X9/aWDgg8u2tUnvvjtMwRqQWl4pvcwjPW+sNcp3KBDUqlFGHAEAKNALL0jf+IY0dmy4P3asdMYZ0osvFpurltTySullJi+AGNE4AgBQoMMOk8aPDyM2bW3hdvx4afLkopNVl1peKb3M5AUQIxpHAAAKtmmTdP750i9/GW5jv7hIanml9DKTF0BsOMcRaFCs52ZI1CggUaNA7GKtUeoTCDjHEQAAAACwR2gcAQAAAAC5aBwBAAAAALloHAEAAAAAuWgcAQAAAAC5aBwBAAAAALloHAEAAAAAuWgcAQAAAAC5aBwBAAAAALloHAEAAAAAuWgcAQAo2H33SdOmSaNGhdv77is6Ub7U8krpZSZvXHbulJYskRYuDLeDg0Unykfe1kstczPyjml+LAAAUK/77pO6uqR33gn3X3453JekM84oLlctqeWV0stM3rjs3Cl99avSsmVD8047LWx8j4pwCIa8rZda5qbldfe6p+nTpzuwr5PU4w3UzXBOeTUqMTGNjGmk1ejUqdXf59Spu3+vRUgtr3t6mUd63lhrtNZ36IMPhvdzwAHu3/52uJXC/BiRt/VSy9xo3lo12vQRx7vvll56qdnPCgyPadOks84qOgWAfckrrzQ2v2ip5ZXSy0zeuDz3XLj95jelH/4wtMV33BFGcGJG3tZLLXNl3tK/7Xo1vXFkoxuIk3vRCQBUM2VKOLSv2vwYpZZXSi8zeeNy5JHh9t57w3dp6fzNBx+UFiwoLlctS5aEBoa8rZNa5lp5S/+26xXhUbgAAOw7brhBGjt213ljx4b5MUotr5ReZvLGZd68cD7Y1q1hlGbr1nB/3ryik1VH3tZLLXOz8nJxHAAAClS6eMgVV4RD+6ZMCRvcsV5UJLW8UnqZyRuXUaPCiM1DD4VD+448Mmxwx3gRFIm8wyG1zM3Ka97A8WudnZ3e09PTYFRgZDGzXnfvLDpHNdQoQI0CsYu1RqlPIKhVo5H2xQAAAACAWNA4AgAAAABy0TgCAAAAAHLROAIAAAAActE4AgAAAABy0TgCAAAAAHLROAIAAAAActE4AgAAAABy0TgCABCJ7u6iEzQmtbxSepnJCyAWNI4AAETimmuKTtCY1PJK6WUmL4BY0DgCAAAAAHLROAIAUKDubsksTNLQ37Ee8pdaXim9zOQFECNz97oX7uzs9J6enhb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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 4, figsize=(16,3))\n", "# Line width\n", "linewidths = [0.5, 1.0, 2.0, 8.0]\n", "for n, linewidth in enumerate(linewidths):\n", " axes[0].plot(x, y + n, color=\"blue\", linewidth=linewidth)\n", "axes_settings(fig, axes[0], \"linewidth\", len(linewidths))\n", "\n", "# Line style\n", "linestyles = ['-', '-.', ':']\n", "for n, linestyle in enumerate(linestyles):\n", " axes[1].plot(x, y + n, color=\"blue\", lw=2, linestyle=linestyle)\n", "# custom dash style\n", "line, = axes[1].plot(x, y + 3, color=\"red\", lw=2)\n", "length1, gap1, length2, gap2 = 10, 7, 20, 7\n", "line.set_dashes([length1, gap1, length2, gap2])\n", "axes_settings(fig, axes[1], \"linetypes\", len(linestyles) + 1)\n", "\n", "# marker types\n", "markers = ['+', 'o', '*', 's', '.', '1', '2', '3', '4']\n", "for n, marker in enumerate(markers):\n", " # lw = shorthand for linewidth, ls = shorthand for linestyle\n", " axes[2].plot(x, y + n, color=\"blue\", lw=2, ls='None',\n", "marker=marker)\n", "axes_settings(fig, axes[2], \"markers\", len(markers))\n", "\n", "# marker size and color\n", "markersizecolors = [(4, \"white\"), (8, \"red\"), (12, \"yellow\"),(16, \"lightgreen\")]\n", "for n, (markersize, markerfacecolor) in enumerate(markersizecolors):\n", " axes[3].plot(x, y + n, color=\"blue\", lw=1, ls='-',marker='o', markersize=markersize,markerfacecolor=markerfacecolor,markeredgewidth=2)\n", "\n", "axes_settings(fig, axes[3], \"marker size/color\", len\n", "(markersizecolors))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'axis labels and title example')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 50, 500)\n", "y = np.sin(x) * np.exp(-x/10)\n", "fig, ax = plt.subplots(figsize=(8, 2), subplot_kw={'facecolor':\"#ebf5ff\"})\n", "ax.plot(x, y, lw=1)\n", "ax.set_xlabel(\"x\", labelpad=5, fontsize=18, fontname='serif',\n", "color=\"blue\")\n", "ax.set_ylabel(\"f(x)\", labelpad=15, fontsize=18, fontname='serif',\n", "color=\"blue\")\n", "ax.set_title(\"axis labels and title example\", fontsize=16,\n", "fontname='serif', color=\"blue\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-2 * np.pi, 2 * np.pi, 500)\n", "y = np.sin(x) * np.exp(-x**2/20)\n", "fig, axes = plt.subplots(1, 4, figsize=(12, 3))\n", "axes[0].plot(x, y, lw=2)\n", "axes[0].set_title(\"default ticks\")\n", "axes[1].plot(x, y, lw=2)\n", "axes[1].set_title(\"set_xticks\")\n", "axes[1].set_yticks([-1, 0, 1])\n", "axes[1].set_xticks([-5, 0, 5])\n", "axes[2].plot(x, y, lw=2)\n", "axes[2].set_title(\"set_major_locator\")\n", "axes[2].xaxis.set_major_locator(mpl.ticker.MaxNLocator(4))\n", "axes[2].yaxis.set_major_locator(mpl.ticker.FixedLocator([-1, 0, 1]))\n", "axes[2].xaxis.set_minor_locator(mpl.ticker.MaxNLocator(8))\n", "axes[2].yaxis.set_minor_locator(mpl.ticker.MaxNLocator(8))\n", "axes[3].plot(x, y, lw=2)\n", "axes[3].set_title(\"set_xticklabels\")\n", "axes[3].set_yticks([-1, 0, 1])\n", "axes[3].set_xticks([-2 * np.pi, -np.pi, 0, np.pi, 2 * np.pi])\n", "axes[3].set_xticklabels([r'$-2\\pi$', r'$-\\pi$', 0, r'$\\pi$',\n", "r'$2\\pi$'])\n", "x_minor_ticker = mpl.ticker.FixedLocator([-3 * np.pi / 2,\n", "-np.pi / 2, 0,\n", "np.pi/ 2, 3 * np.pi / 2])\n", "axes[3].xaxis.set_minor_locator(x_minor_ticker)\n", "axes[3].yaxis.set_minor_locator(mpl.ticker.MaxNLocator(4))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "x_major_ticker = mpl.ticker.MultipleLocator(4)\n", "x_minor_ticker = mpl.ticker.MultipleLocator(1)\n", "y_major_ticker = mpl.ticker.MultipleLocator(0.25)\n", "y_minor_ticker = mpl.ticker.MultipleLocator(0.05)\n", "for ax in axes:\n", " ax.plot(x, y, lw=2)\n", " ax.xaxis.set_major_locator(x_major_ticker)\n", " ax.yaxis.set_major_locator(y_major_ticker)\n", " ax.xaxis.set_minor_locator(x_minor_ticker)\n", " ax.yaxis.set_minor_locator(y_minor_ticker)\n", "\n", "axes[0].set_title(\"default grid\")\n", "axes[0].grid()\n", "axes[1].set_title(\"major/minor grid\")\n", "axes[1].grid(color=\"blue\", which=\"both\", linestyle=':',\n", "linewidth=0.5)\n", "axes[2].set_title(\"individual x/y major/minor grid\")\n", "axes[2].grid(color=\"grey\", which=\"major\", axis='x', linestyle='-',\n", "linewidth=0.5)\n", "axes[2].grid(color=\"grey\", which=\"minor\", axis='x', linestyle=':',\n", "linewidth=0.25)\n", "axes[2].grid(color=\"grey\", which=\"major\", axis='y', linestyle='-',\n", "linewidth=0.5)\n", "axes[2].grid(color=\"grey\", which=\"minor\", axis='y', linestyle=':',\n", "linewidth=0.5)\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 3))\n", "x = np.linspace(0, 1e3, 100)\n", "y1, y2 = x**3, x**4\n", "axes[0].set_title('loglog')\n", "axes[0].loglog(x, y1, 'b', x, y2, 'r')\n", "axes[1].set_title('semilogy')\n", "axes[1].semilogy(x, y1, 'b', x, y2, 'r')\n", "axes[2].set_title('plot / set_xscale / set_yscale')\n", "axes[2].plot(x, y1, 'b', x, y2, 'r')\n", "axes[2].set_xscale('log')\n", "axes[2].set_yscale('log')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = y = np.linspace(-10, 10, 150)\n", "X, Y = np.meshgrid(x, y)\n", "Z = np.cos(X) * np.cos(Y) * np.exp(-(X/5)**2-(Y/5)**2)\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "norm = mpl.colors.Normalize(-abs(Z).max(), abs(Z).max())\n", "p = ax.pcolor(X, Y, Z, norm=norm, cmap=mpl.cm.bwr)\n", "ax.axis('tight')\n", "ax.set_xlabel(r\"$x$\", fontsize=18)\n", "ax.set_ylabel(r\"$y$\", fontsize=18)\n", "ax.xaxis.set_major_locator(mpl.ticker.MaxNLocator(4))\n", "ax.yaxis.set_major_locator(mpl.ticker.MaxNLocator(4))\n", "cb = fig.colorbar(p, ax=ax)\n", "cb.set_label(r\"$z$\", fontsize=18)\n", "cb.set_ticks([-1, -.5, 0, .5, 1])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The colormap graphs discussed until now were used to visualize data with\n", "*two dependent variables* by color-coding data in **2D graphs.** Another way of visualizing\n", "the same type of data is to use **3D graphs**, where a third axis $z$ is introduced and the\n", "graph is displayed in a perspective on the screen. In Matplotlib, drawing 3D graphs\n", "requires using a **different axes object**, namely, the `Axes3D` object that is available from\n", "the `mpl_toolkits.mplot3d` module. We can create a **3D-aware Axes** instance explicitly\n", "using the constructor of the `Axes3D` class, by passing a `Figure` instance as argument:\n", "`ax = Axes3D(fig)`. \n", "\n", "Alternatively, we can use the add_subplot function with the\n", "`projection='3d'` argument:\n", "`ax = fig.add_subplot(1, 1, 1, projection='3d')`\n", "\n", "or use plt.subplots with the `subplot_kw={'projection': '3d'}` argument:\n", "\n", "```python\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 6), subplot_kw={'projection': '3d'})\n", "```\n", "\n", "Having created and added **3D-aware Axes** instances to a figure, the `Axes3D` class methods –\n", "such as `plot_surface`, `plot_wireframe`, and `contour` – can be used to plot data as surfaces in a 3D perspective. These functions are used in a manner that is nearly the same as how the color map was used in the previously" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(14, 4), subplot_kw={'projection': '3d'})\n", "def title_and_labels(ax, title):\n", " ax.set_title(title)\n", " ax.set_xlabel(\"$x$\", fontsize=16)\n", " ax.set_ylabel(\"$y$\", fontsize=16)\n", " ax.set_zlabel(\"$z$\", fontsize=16)\n", " \n", "x = y = np.linspace(-3, 3, 74)\n", "X, Y = np.meshgrid(x, y)\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(4 * R) / R\n", "norm = mpl.colors.Normalize(-abs(Z).max(), abs(Z).max())\n", "p = axes[0].plot_surface(X, Y, Z , rstride=1, cstride=1,\n", "linewidth=0, antialiased=False, norm=norm, cmap=mpl.cm.Blues)\n", " \n", "#cb = fig.colorbar(p, ax=axes[0], shrink=0.6)\n", "title_and_labels(axes[0], \"plot_surface\")\n", "p = axes[1].plot_wireframe(X, Y, Z, rstride=2, cstride=2, color=\"darkgrey\")\n", "cset = axes[1].contour(X, Y, Z, zdir='y', offset=3, norm=norm,\n", "cmap=mpl.cm.Blues)\n", "title_and_labels(axes[1], \"plot_wireframe\")\n", "cset = axes[2].contour(X, Y, Z, zdir='z', offset=0, norm=norm,\n", "cmap=mpl.cm.Purples)\n", "cset = axes[2].contour(X, Y, Z, zdir='y', offset=3, norm=norm,\n", "cmap=mpl.cm.Blues)\n", "cset = axes[2].contour(X, Y, Z, zdir='x', offset=3, norm=norm,\n", "cmap=mpl.cm.PuRd)\n", "title_and_labels(axes[2], \"contour\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These 3D plotting functions all take two-dimensional coordinate and data arrays $X$, $Y$, and $Z$ as first arguments. Each function also takes additional parameters for tuning specific properties. \n", "\n", "For example, the `plot_surface` function takes the arguments `rstride` and `cstride` (row and column\n", "stride) for selecting data from the input arrays (to avoid data points that are too dense).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `contour` and `contourf` functions take optional arguments `zdir` and `offset`, which\n", "is used to select a projection direction (the allowed values are “x,” “y,” and “z”) and the\n", "plane to display the projection on." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Geographical plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to illustrate with help from [here](https://www.earthdatascience.org/courses/scientists-guide-to-plotting-data-in-python/plot-spatial-data/customize-vector-plots/python-customize-map-legends-geopandas/) that we can use python with some help from `geopandas`, `earthpy` to create visualizations of geographic information." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "ename": "ImportError", "evalue": "cannot import name 'CRS'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mshapely\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgeometry\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mbox\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mgeopandas\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mgpd\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mearthpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0met\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/miniconda3/envs/OptML2019/lib/python3.6/site-packages/geopandas/__init__.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mgeopandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgeoseries\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mGeoSeries\u001b[0m \u001b[0;31m# noqa\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mgeopandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgeodataframe\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mGeoDataFrame\u001b[0m \u001b[0;31m# noqa\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mgeopandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0m_points_from_xy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mpoints_from_xy\u001b[0m \u001b[0;31m# noqa\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mgeopandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mio\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfile\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mread_file\u001b[0m \u001b[0;31m# noqa\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/miniconda3/envs/OptML2019/lib/python3.6/site-packages/geopandas/geoseries.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mpandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcore\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minternals\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mSingleBlockManager\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mpyproj\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mCRS\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mTransformer\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 10\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mshapely\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgeometry\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbase\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mBaseGeometry\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mshapely\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mops\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtransform\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mImportError\u001b[0m: cannot import name 'CRS'" ] } ], "source": [ "# Import libraries\n", "import os\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from shapely.geometry import box\n", "import geopandas as gpd\n", "import earthpy as et\n", "\n", "# Get the data & set working dir\n", "data = et.data.get_data('spatial-vector-lidar')\n", "os.chdir(os.path.join(et.io.HOME, 'earth-analytics'))" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "['M' None 'S' 'C']\n", "['M' 'Unknown' 'S' 'C']\n" ] } ], "source": [ "# Import roads shapefile\n", "sjer_roads_path = os.path.join(\"data\", \"spatial-vector-lidar\",\n", " \"california\", \"madera-county-roads\",\n", " \"tl_2013_06039_roads.shp\")\n", "\n", "sjer_roads = gpd.read_file(sjer_roads_path)\n", "\n", "# View data type\n", "print(type(sjer_roads['RTTYP']))\n", "print(sjer_roads['RTTYP'].unique())\n", "\n", "sjer_roads['RTTYP'].replace(np.nan, 'Unknown', inplace=True)\n", "print(sjer_roads['RTTYP'].unique())" ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14, 6))\n", "sjer_roads.plot(column='RTTYP',\n", " categorical=True,\n", " legend=True,\n", " ax=ax)\n", "\n", "# Adjust legend location\n", "leg = ax.get_legend()\n", "leg.set_bbox_to_anchor((1.15,0.5))\n", "\n", "ax.set_axis_off()\n", "\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }