{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lesson A10 – Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Python can not only be used to write programs that process and produce\n", "a lot of data, it can be also used to plot this data. In this tutorial we introduce you to the widely used third-party library\n", "`matplotlib` to put some nice looking graphs on the screen. If matplotlib is not already installed in your Python environment, do so via your package manager (e.g. `conda install matplotlib`)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can only scratch on the surface of what this package can do, so check out the official [documentation](https://matplotlib.org/), too, if you want to learn more." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "**Advanced:** There are a few other interesting packages out there to produce\n", " graphics in Python, like for example [Bokeh](https://docs.bokeh.org/en/latest/index.html),\n", " [Seaborn](https://seaborn.pydata.org/) (matplotlib based), or\n", " [Plotly](https://plot.ly/python/). Matplotlib might be a good starting\n", " point, though.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Taking the easy road" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are basically two ways to use matplotlib. The first, relatively easy and\n", "fast, goes via the `pyplot` submodule which provides a high level interface. The other, more complex but also more flexible, is to use elements from the `matplotlib` module directly. You can import both like this:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib as mpl\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following cell is only needed to control the styling of the plots\n", "we will produce (font, fontsize, etc.). You can ignore it for now. Just keep in mind for later\n", "that you can make a lot of configurations via a `matplotlibrc` file." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "mpl.rc_file(\n", " \"../../matplotlibrc\",\n", " use_default_template=False\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generating plots from within pyplot is done by calling one of the provided\n", "plotting functions. The basic function `plot()` for example takes at least a sequence of values (*y*-values) and returns a 2D-line plot." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "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": [ "plt.plot(range(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *x*-values are in this case assumed to be a 0-based index. We can also pass *x*-values specifically. Per default `plot()` connects the plotted data points with a solid blue line. This behaviour can be changed with a bunch of optional keyword arguments. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Generate some data first\n", "\n", "# Make a sequence (list) of 21 values in the open intervall (-1, 1)\n", "# with increments of 0.1\n", "x = [x * 0.1 for x in range(-10, 11)]\n", "\n", "# Calculate x**2 for each value in the just created sequence\n", "y = [x**2 for x in x]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "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": [ "# Call of `plot`\n", "# Use of keyword arguments modifies the styling\n", "plt.plot(\n", " x, y,\n", " color=\"gray\", linestyle=\"--\", \n", " marker=\"o\", markerfacecolor=\"#ff7f0e\", markeredgecolor=\"k\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "**Note:** Colors can be specified in matplotlib in many different formats, like for example by name (`\"gray\"`), special abbreviations (`\"k\"` - black) or as hex RGB(A) code (`#ff7f0e`). Find out more [here](https://matplotlib.org/3.1.1/api/colors_api.html).\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But a plot does not only consist of data alone. You can see that `plot()`\n", "also created an *x*- and *y*-axis, ticks and tick labels. Using other pyplot\n", "functions you can customise these other elements. Again other functions add new elements like, e.g. a legend (note that a line needs to have a `label` for the automatic legend generation to work)." ] }, { "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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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.axhline(1, alpha=0.5)\n", "# Horizontal line at y=1; Transparency set to 0.5\n", "\n", "plt.plot(\n", " x, y,\n", " color=\"gray\", linestyle=\"--\",\n", " marker=\"o\", markerfacecolor=\"#ff7f0e\", markeredgecolor=\"k\",\n", " label=\"LABEL\"\n", ")\n", "\n", "# Add plot heading and labels\n", "plt.title(\"Orange Circles on Parabola\")\n", "plt.xlabel(\"$x$\")\n", "plt.ylabel(\"$y$\")\n", "\n", "# Which y-ticks to give a number?\n", "plt.yticks((0, 1))\n", "\n", "# Modify displayed y-data range\n", "plt.ylim(None, 1.3)\n", "\n", "# Generate legend\n", "# By default legend reads out the `label` (see keyword above)\n", "# of plotted lines\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Going the long way" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the pyplot functions is convenient and can be suffient depending on\n", "what you want to achieve. This approach hides, however, two kinds of fundamental objects that make a plot: `Figures` and `Axes`. When the pyplot function `plot()` is called, a Figure instance is created in the background for you. It is not directly visible, but it is there. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "run_control": { "marked": true } }, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.gcf()\n", "# Get the current figure; Creates one if nothing is found" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matplotlib.figure.Figure" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A matplotlib Figure contains so called Axes (not to be confused with the actual axes, like the *x*-axis). Axes spread over the whole or a part of the figure-area and hold the various visible elements that constitue the plot. Similar to the Figure, an Axes instance is created by `plot()` for you without notice." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "# Get the current Axes; Creates one (and a Figure) if nothing is found" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a Jupyter notebook, a Figure lives only in its own cell, so trying to get\n", "the currently active Figure from outside the cell does not work. If this is\n", "all bit abstract for you now, do not worry! It will become clearer with an example:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "# We use pyplot only to create Figure and Axes in the first place\n", "\n", "# plot y vs x unsing pink pentagons (marker = \"p\")\n", "pink_pentagons = ax.plot(\n", " x, y,\n", " linestyle=\" \",\n", " marker=\"p\", markerfacecolor=\"#e377c2\", markeredgecolor=\"k\",\n", " label=\"p\"\n", " )\n", "\n", "# plot -y vs x unsing cyan plus (marker = \"P\")\n", "cyan_crosses = ax.plot(\n", " x, [-y for y in y],\n", " linestyle=\" \",\n", " marker=\"P\", markerfacecolor=\"#17becf\", markeredgecolor=\"k\",\n", " label=\"P\"\n", " )\n", "\n", "# Plot nothing, but create a line object with crosses (marker = \"X\")\n", "cyan_xs = ax.plot(\n", " [], [],\n", " linestyle=\" \",\n", " marker=\"X\", markerfacecolor=\"#17becf\", markeredgecolor=\"k\",\n", " label=\"X\"\n", " )\n", "\n", "# Add a custom legend\n", "# Use manually specified lines (handles) and labels\n", "ax.legend(\n", " handles=[cyan_xs[0], pink_pentagons[0], ], # switched\n", " labels=[\"Another P\", \"Another p\"], # changed\n", " frameon=False,\n", ")\n", "\n", "# Go through all xticks labels and make them bold face\n", "for ticklabel in ax.get_xticklabels():\n", " ticklabel.set_fontweight(\"bold\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Working with `fig` and `ax` explicitly gives you much more control over\n", "your plot. It becomes especially important when you work with more than one Axes object, for example in more than one sub plot." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, Ax = plt.subplots(2, 1)\n", "# We use pyplot only to create Figure and Axes in the first place\n", "# We want 2 subplots stacked in y-direction\n", "# `Ax` is now a list of Axes objects [ax1, ax2]\n", "\n", "# plot alternating y-values on upper Axes\n", "upper = Ax[0].plot(\n", " x, [y * (-1)**i for i, y in enumerate(y, 1)],\n", " linestyle=\" \",\n", " marker=\"d\", markerfacecolor=\"#e1974c\", markeredgecolor=\"k\",\n", " label=\"upper\"\n", " )\n", "\n", "# plot alternating y-values on upper Axes\n", "lower = Ax[1].plot(\n", " x, [-y * (-1)**i for i, y in enumerate(y, 1)],\n", " linestyle=\" \",\n", " marker=\"d\", markerfacecolor='#ab6857', markeredgecolor=\"k\",\n", " label=\"lower\"\n", " )\n", "\n", "# Remove x-ticks on both plots and modify y-ticks\n", "for ax in Ax:\n", " ax.set_xticks(())\n", " ax.set_yticks((0, ))\n", " \n", "# Plot legend on lower Axes referencing both lines\n", "Ax[1].legend(\n", " handles=[upper[0], lower[0]],\n", " fancybox=False,\n", " framealpha=1,\n", " edgecolor=\"k\",\n", " ncol=2,\n", " loc=(0.3, -0.4)\n", " )\n", "\n", "# Modify space between subplots\n", "fig.subplots_adjust(hspace=0)" ] } ], "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": "3.6.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "165px" }, "toc_section_display": true, "toc_window_display": false }, "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": 2 }