{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting\n", "\n", "There are various plotting/visualisation options in Python:\n", "- [**Matplotlib**](https://matplotlib.org/) *is a Python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments *\n", "- [**seaborn**](https://seaborn.pydata.org/) *is a Python visualization library based on matplotlib that provides a high-level interface for drawing attractive statistical graphics.*\n", "- [**Bokeh**](https://bokeh.pydata.org/en/latest/) *is an interactive visualization library that targets modern web browsers for presentation.*\n", "- [**Plotly**](https://plot.ly/python/) *makes interactive, publication-quality graphs online*\n", "- [**Pygal**](http://pygal.org/en/stable/): *PYthon svg GrAph plotting Library*\n", "- [**ggplot**](http://ggplot.yhathq.com/) *is a plotting system for Python based on R's [ggplot2](http://ggplot2.org/) and the [Grammar of Graphics](https://www.amazon.com/Grammar-Graphics-Statistics-Computing/dp/0387245448).*\n", "\n", "All have pros and cons, and are at varying levels of 'maturity'. For example, Matplotlib is the oldest (2003), most complete and most 'traditional' - i.e. designed for making non-interactive graphs for printing. Matplotlib lacks some of the web-focussed tools of Bokeh and Plotly, which are relative newcomers focussed on generating plots to display electronically and on the web. Pygal and ggplot are more esoteric - the former focussed on producing plots in SVG format, and the latter focussed on emulating the syntax and appearance of the `ggplot2` R plotting package.\n", "\n", "In science we mostly focus on producing publication-quality plots for printing, so we'll focus on Matplotlib here.\n", "\n", "
\n", "\n", "
\n", "\n", "Matplotlib is the most 'mature' and feature-rich Python plotting library. If you can think it, you can plot it... with a little effort. The downside of this flexibility is that it has *a lot* of options, which can be initially intimidating.\n", "\n", "A fantastic resource for getting started is the [Matplotlib Gallery](https://matplotlib.org/gallery.html) - a collection of plot examples showing different types of plots, and the code behind them.\n", "\n", "The part of matplotlib you'll interact with most is `pyplot`, which provides a MATLAB-like plotting interface. To import `pyploy`:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt # import pyplot, and call it 'plt'\n", "\n", "# this tells jupyter notebook to display plots 'in line' in the browser\n", "# you can also have interactivity by replacing 'inline' by 'notebook', but this can be much slower\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First Plot" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np # import numpy for generating some data\n", "\n", "# generate some 'dummy' data\n", "x = np.linspace(0, 100, 50)\n", "y = x * 2.5 + np.random.normal(3, 23, 50)" ] }, { "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make a simple line plot\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`plt.plot` is `pyplot`'s most basic plotting command. By default it creates a line plot, but you can specify various options to change the plot type and appearance:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, 'ro')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`'ro'` can be replaced with all kinds of options that are shorthand for different ploting styles. In the case of `ro`, the `r` specifies 'red', and the `o` specifies circular points. See the ['Notes' section of the `plot` function documentation](https://matplotlib.org/api/_as_gen/matplotlib.pyplot.plot.html) for a full list of options.\n", "\n", "Next, let's add some all-important axis labels:" ] }, { "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": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, 'b--', label='my data')\n", "\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And there it is - a publication-quality plot! But there's much, much more.\n", "\n", "## `Figures` and `Axes`\n", "\n", "A `matplotlib` plot is made up of two key elements: the `figure` and the `axes`. A `figure` has a size and shape that defines the space where you can draw `axes`. `axes` are placed within the figure, and are where visual representations of your data (lines, points, colours) are drawn. The `axes` contain a number of visual settings controlling the appearance of axes, points and lines, and a coordinate transfer system, which translates a sapce on your page to a value in your data.\n", "\n", "The `plot` function used above provides a convenient 'wrapper' for matplotlib that automatically handles the creation of your `figure` and the placement of your `axes`. This is great for rapidly producing simple plots of data, but if you're looking to do anything more complex it pays to get familiar with `figure` and `axes` objects, so:" ] }, { "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": {}, "output_type": "display_data" } ], "source": [ "# create a figure\n", "fig = plt.figure(figsize=(4,4))\n", "\n", "# create and axis\n", "ax = fig.add_axes([.1, .1, .8, .8])\n", "# ^ this specifies the position and size of the axis in the figure.\n", "# the numbers are the [left, bottom, width, height] of the axis in\n", "# fractional coordinates.\n", "\n", "# ax2 = fig.add_axes([.7, .7, .2, .2])\n", "\n", "# now, draw the points on the axis\n", "ax.scatter(x, y, color='k', marker='x', label='my data')\n", "\n", "# axis labels\n", "ax.set_xlabel('X') # note the syntax is slightly different here - you have to use 'set_' when dealing with a di\n", "ax.set_ylabel('Y')\n", "\n", "# add a legend\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's a lot more complex than just doing `plt.plot`, with an identical result... why would I do this?\n", "\n", "This is a bad example, because the plot is so simple. If you wanted to make a more complex plot, you'll quickly run into the limitations of `plt.plot`. Using `figure` and `axis` objects like this is a good habit to get into, as it's *much* more flexible.\n", "\n", "However, you don't always have to manually add and locate `axes` on your `figure`. Having multiple panels on a single graph is common enough that this has been automated:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# creat and axis with two subplots\n", "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=[8,3.5], sharey=True)\n", "\n", "# plot number 1\n", "ax1.plot(x, y)\n", "# plot number 2\n", "ax2.scatter(x, y)\n", "\n", "# set axis labels\n", "ax1.set_xlabel('X')\n", "ax2.set_xlabel('X')\n", "ax1.set_ylabel('Y')\n", "\n", "# get rid of excess space between the axes\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `plt.subplots` vs. `fig.add_subplot`\n", "\n", "The former creates a grid of subplots in a figure and returns both. The latter can be used to add new subplots to an existing figure, using an underlying grid to position the subplots." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make figure\n", "fig = plt.figure()\n", "\n", "# make six subplots\n", "for i in range(1,7):\n", " ax = fig.add_subplot(3, 2, i) # (rows, columns, subplot_number)\n", " # add an annotation, so you can see which panel is associated with which number\n", " ax.annotate(str(i), (.5, .5))\n", "\n", "# make the layout sensible\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This can be much more useful than `plt.subplots`, as it allows you to manually specify which axes you want (e.g. if you don't want the full grid), and you can create subplots which fill more than one position on the grid. For example:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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6js0HbSDpWODdeQ0jwCX5bpcAd3WzrhorqOne6/XnVafRZzQCXJyP5jsH2DvWFWhm3ZXsKD6AfETVl3l5yqTP9qiO/wj8GHgEOJRv/q9k/wM+jawL6Engv3Tzf2aS3kB21gTZrCDfiojPSnoNcDuwAHgK+NOIqB8k0OnajiG7lvOGiNibb/smPfi8JN0KnEs2a/mzwFXAnRR8RvmXkb8FlgD7gEsjYrTTNZrZeEkHlJmZTV8pd/GZmdk05oAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyQ5oMzMLEkOKDMzS5IDyszMkuSAMjOzJDmgzMwsSQ4oMzNLUqWAyldB3SmpcJmEfImC6yVtzVdNPaM9ZZr1B7chs/KqnkHdRLYMQSPnA4vyP6vIVlA1s5fdhNuQWSmVAioi7gearSu0HLglMuuBobpF6symNbchs/Jmtvl4c8kWqRuzLd82blE6SavIviFy7LHHnnnKKae0uRSz9tiwYcNzETGnS2/nNmR9Z6JtqN0BpYJthSsiRsQaYA3A8PBwjI560VJLk6RfdvPtCra5DdmUNtE21O5RfNuA+TXP5wE72vweZv3Mbcgs1+6AGgEuzkcinQPsjYhxXRNm1pDbkFmuUhefpFuBc4HZkrYBVwGDABHxNeBuYCmwFdgHXNrOYs2mOrchs/IqBVRErGjx8wA+MqmKzPqY25BZeZ5JwszMkuSAMjOzJDmgzMwsSQ4oMzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyQ5oMzMLEkOKDMzS5IDyszMkuSAMjOzJDmgzMwsSQ4oMzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyRVDihJSyRtkbRV0uqCny+QdJ+kjZIelrS0PaWa9YcSbWilpF2SNuV//qwXdZr12swqO0saAG4A3gVsAx6SNBIRj9Xs9tfA7RHxVUmLgbuBhW2q12xKK9mGANZFxOVdL9AsIVXPoM4CtkbEExHxInAbsLxunwBelT8+HtgxuRLN+kqZNmRmVA+oucDTNc+35dtqXQ1cJGkb2dnTR4sOJGmVpFFJo7t27apYhtmUVaYNAfxJ3kX+HUnziw7kNmT9rmpAqWBb1D1fAdwUEfOApcA3JY17n4hYExHDETE8Z86cimWYTVll2tA/AQsj4veBHwA3Fx3Ibcj6XdWA2gbUfpubx/guvMuA2wEi4ifA0cDsiRZo1mdatqGI+FVEvJA/vRE4s0u1mSWlakA9BCySdJKko4ALgZG6fZ4CzgOQ9CaygHL/g1mmZRuSdGLN02XA412szywZlUbxRcRBSZcD9wADwNqI2CzpGmA0IkaAvwJulPRxsq6LlRFR34VhNi2VbEMfk7QMOAjsBlb2rGCzHlIK2TE8PByjo6O9LsOskKQNETHc6zqacRuylE20DXkmCTMzS5IDyszMkuSAMjOzJDmgzMwsSQ4oMzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyQ5oMzMLEkOKDMzS5IDyszMkuSAMjOzJDmgzMwsSQ4oMzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8qsyyQtkbRF0lZJqwt+/gpJ6/KfPyhpYferNOu9ygHVqnHl+3xA0mOSNkv61uTLNOsPkgaAG4DzgcXACkmL63a7DHg+In4PuA74m+5WaZaGSgFVpnFJWgRcCbw1It4MXNGmWs36wVnA1oh4IiJeBG4Dltftsxy4OX/8HeA8SepijWZJmFlx/8ONC0DSWON6rGafPwduiIjnASJiZzsKNesTc4Gna55vA85utE9EHJS0F3gN8FztTpJWAavypy9IerQjFVczm7o6p2kNkEYdKdQAcPJEXlQ1oMo0rjcCSHoAGACujoj/VX+g2sa1YMGCimWYTVlFZ0IxgX2IiDXAGgBJoxExPPnyJieFOlKoIZU6UqhhrI6JvK7qNagyDWcmsAg4F1gB/J2koXEvilgTEcMRMTxnzpyKZZhNWduA+TXP5wE7Gu0jaSZwPLC7K9WZJaRqQJVtXHdFxIGI+AWwhSywzAweAhZJOknSUcCFwEjdPiPAJfnj9wM/jIhxZ1Bm/a5qQJVpXHcCbweQNJusy++JyRZq1g8i4iBwOXAP8Dhwe0RslnSNpGX5bt8AXiNpK/AJoHC0bJ01HSm4uhTqSKEGSKOOFGqACdahql/MJC0Fvkx2fWltRHxW0jXAaESM5KONvggsAV4CPhsRtzU75vDwcIyOTqiL0qzjJG1IoR/fbLqpHFCd4ICylDmgzHrDM0mYmVmSHFBmU0gK0ySVqOET+UwyD0u6V9Lr211DmTpq9nu/pJDU9rPgVGbWKfFvskDSfZI25v8uSztQw1pJOxvdj6fM9XmND0s6o+VBI6Lnf84888wwSxXZ9dWetxOy674/B94AHAX8G7C4bp8PA1/LH18IrOtBDW8Hjskff6jdNZStI9/vOOB+YD0w3IPPYhGwETghf/7aHv1erAE+lD9eDDzZgTreBpwBPNrg50uB75PdrnQO8GCrY/oMymzqSGGapJY1RMR9EbEvf7qe7HaUdivzWQB8Bvg88Nse1dCNmXXK1BHAq/LHxzP+9qBJi4j7aX6/3nLglsisB4YkndjsmA4os6mjaCaXuY32iWxI+9g0Sd2sodZlZN+a261lHZJOB+ZHxHc78P6laiC7zeaNkh6QtF7Skh7VcTVwkaRtwN3ARztQRytVf3cqT3VkZr3TtmmSOlxDtqN0ETAM/GEb379UHZJmkM0Ev7ID712qhlztzDrzgB9LOjUi9nS5jhXATRHxRUl/AHwzr+NQG+topfLvps+gzKaOFKZJKlMDkt4JfBpYFhEvtPH9y9ZxHHAq8CNJT5Jd8xhp80CJVGbWKVPHZcDtABHxE+Bosolku6nU704tB5TZ1JHCNEkta8i71r5OFk6dWs2gaR0RsTciZkfEwohYSHYtbFlEtPOGy1Rm1ilTx1PAeXkdbyILqF1trqOVEeDifDTfOcDeiHim2QvcxWc2RUS29MbYNEljM7lsrp3JhWyapG/m0yTtJvufVbdr+ALwSuDb+fiMpyJiWcODdq6OjipZwz3AuyU9Rjazzicj4lc9qOOvgBslfZysW21lm7+4IOlWsq7M2fm1rquAwbzGr5Fd+1oKbAX2AZe2PGaba5wQzyRhKfNMEma94S4+MzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyQ5oMzMLEkOKDMzS5IDyszMkuSAMjOzJFUOKElLJG3J15Vf3WS/90uKNk9vb2Zm00SlgJI0ANwAnE+2rv0KSYsL9jsO+BjwYDuKNOsXktZK2inp0QY/l6Tr8y+AD0s6o9s1mqWi6hnUWcDWiHgiIl4EbiNbZ77eZ4DPA7+dZH1m/eYmoNmy3+eTLWi3CFgFfLULNZklqWpAtVxTPl+sbH5EfLfZgSStkjQqaXTXrm6vm2XWGxFxP81XuF0O3BKZ9cCQpBO7U51ZWqouWNh0TXlJM4DrgJWtDhQRa4A1kK0HVbEOs37V6EvguJVHJa0iO8vi2GOPPfOUU07pSoFmVW3YsOG5iJhT9XVVA6rVmvLHAacCP8pX0vxdYERSu5daNutXTb8EHrGx7kueF/20VEn65UReV7WL7yFgkaSTJB1Ftpz04aWVI2JvRMyOiIURsRBYDziczMpr9SXQbNqoFFARcRC4HLgHeBy4PSI2S7pG0rJOFGg2zYwAF+ej+c4B9kbEuO49s+mgahcfEXE3cHfdtv/WYN9zJ1aWWX+SdCtwLjBb0jbgKmAQICK+Rta2lgJbgX3Apb2p1Kz3KgeUmU1cRKxo8fMAPtKlcsyS5qmOzMwsSQ4oMzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyQ5oMzMLEkOKDMzS5IDyszMkuSAMjOzJDmgzMwsSQ4oMzNLkgPKzMyS5IAyM7MkOaDMzCxJDigzM0uSA8rMzJLkgDIzsyQ5oMzMLEmVA0rSEklbJG2VtLrg55+Q9JikhyXdK+n17SnVrD+UaEMrJe2StCn/82e9qNOs1yoFlKQB4AbgfGAxsELS4rrdNgLDEfH7wHeAz7ejULN+ULINAayLiNPyP3/X1SLNElH1DOosYGtEPBERLwK3Actrd4iI+yJiX/50PTBv8mWa9Y2WbcjMMlUDai7wdM3zbfm2Ri4Dvl/0A0mrJI1KGt21a1fFMsymrLJt6E/ybvLvSJpfdCC3Iet3VQNKBduicEfpImAY+ELRzyNiTUQMR8TwnDlzKpZhNmWVaUP/BCzMu8l/ANxcdCC3Iet3VQNqG1D7bW4esKN+J0nvBD4NLIuIFyZenlnfadmGIuJXNe3mRuDMLtVmlpSqAfUQsEjSSZKOAi4ERmp3kHQ68HWycNrZnjLN+kaZNnRizdNlwONdrM8sGTOr7BwRByVdDtwDDABrI2KzpGuA0YgYIevSeyXwbUkAT0XEsjbXbTYllWxDH5O0DDgI7AZW9qxgsx5SROElpK4aHh6O0dHRXpdhVkjShogY7nUdzbgNWcom2oY8k4SZmSXJAWVmZklyQJmZWZIcUGZmliQHlJmZJckBZWZmSXJAmZlZkhxQZmaWJAeUmZklyQFlZmZJckCZmVmSHFBmZpYkB5SZmSXJAWVmZklyQJmZWZIcUGZmliQHlJmZJckBZWZmSXJAmZlZkhxQZmaWJAeUmZklyQFlZmZJqhxQkpZI2iJpq6TVBT9/haR1+c8flLSwHYWa9Qu3IbNyKgWUpAHgBuB8YDGwQtLiut0uA56PiN8DrgP+ph2FmvUDtyGz8qqeQZ0FbI2IJyLiReA2YHndPsuBm/PH3wHOk6TJlWnWN9yGzEqaWXH/ucDTNc+3AWc32iciDkraC7wGeK52J0mrgFX50xckPVqxlk6YTV2d07QGSKOOFGoAOLmNx3Ibmh41QBp1pFADTLANVQ2oom9xMYF9iIg1wBoASaMRMVyxlrZLoY4UakiljhRqGKujnYcr2OY21Gc1pFJHCjWM1TGR11Xt4tsGzK95Pg/Y0WgfSTOB44HdEynOrA+5DZmVVDWgHgIWSTpJ0lHAhcBI3T4jwCX54/cDP4yIcd/+zKYptyGzkip18eX94ZcD9wADwNqI2CzpGmA0IkaAbwDflLSV7FvfhSUOvaZi3Z2SQh0p1ABp1JFCDdDGOtyGuiKFGiCNOlKoASZYh/zFzMzMUuSZJMzMLEkOKDMzS1JXAyqFKV5K1PAJSY9JeljSvZJe3+4aytRRs9/7JYWktg8VLVODpA/kn8dmSd9qdw1l6pC0QNJ9kjbm/y5LO1DDWkk7G91LpMz1eY0PSzqj3TWU4TZUvo6a/dyGpmobioiu/CG7IPxz4A3AUcC/AYvr9vkw8LX88YXAuh7U8HbgmPzxh9pdQ9k68v2OA+4H1gPDPfgsFgEbgRPy56/t0e/FGuBD+ePFwJMdqONtwBnAow1+vhT4Ptk9SucAD7a7hjZ9Vm5DR+7nNhRTtw118wwqhSleWtYQEfdFxL786Xqy+1TarcxnAfAZ4PPAb3tUw58DN0TE8wARsbNHdQTwqvzx8Yy/b2jSIuJ+mt9rtBy4JTLrgSFJJ7a7jhbchirUkXMbykzJNtTNgCqa4mVuo30i4iAwNsVLN2uodRlZ4rdbyzoknQ7Mj4jvduD9S9UAvBF4o6QHJK2XtKRHdVwNXCRpG3A38NEO1NFK1d+dXtXgNpRzGzrC1UzBNlR1qqPJaNsULx2uIdtRuggYBv6wje9fqg5JM8hmsV7ZgfcuVUNuJlkXxblk34J/LOnUiNjT5TpWADdFxBcl/QHZPUKnRsShNtbRSqd/N9tVg9sQbkMFdUzJNtTNM6gUpngpUwOS3gl8GlgWES+08f3L1nEccCrwI0lPkvXXjrT5Im/Zf4+7IuJARPwC2ELW2NqpTB2XAbcDRMRPgKPJJsHsplK/OwnU4DaUcRs60tRsQ+2+UNbkAtpM4AngJF6+kPfmun0+wpEXeG/vQQ2nk11wXNTLz6Ju/x/R/gu8ZT6LJcDN+ePZZKfnr+lBHd8HVuaP35T/UqsD/y4LaXxE20RQAAAAvElEQVSB970ceYH3Xzv1+zHJz8ptqHh/t6Ep2IY68svTpPilwL/nv7yfzrddQ/YtC7JU/zawFfhX4A09qOEHwLPApvzPSC8+i7p92964Sn4WAr4EPAY8AlzYo9+LxcADecPbBLy7AzXcCjwDHCD7pncZ8BfAX9R8FjfkNT7SiX+PNn1WbkNuQ33ThjzVkZmZJckzSZiZWZIcUGZmliQHlJmZJckBZWZmSXJAmZlZkhxQZmaWJAeUmZkl6f8DBf0jcOBavTwAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "ax_top = fig.add_subplot(3, 2, 1)\n", "ax_big = fig.add_subplot(3, 2, (3,5))\n", "ax_right1 = fig.add_subplot(3, 2, 4)\n", "ax_right2 = fig.add_subplot(3, 2, 6)\n", "\n", "# you can then draw points on the axes by using the axis objects directly, for example:\n", "ax_top.scatter(x, y)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Examples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data with fitted line" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import uncertainties as un\n", "from uncertainties import unumpy as unp" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# fit x,y data with line (1st order polynomial), and get the covariance matrix\n", "p, cov = np.polyfit(x, y, deg=1, cov=True)\n", "\n", "fit_params = un.correlated_values(p, cov)\n", "\n", "# predicted data\n", "pred = np.polyval(fit_params, x)\n", "\n", "# extracr mean and stdev\n", "pred_nom = unp.nominal_values(pred)\n", "pred_err = unp.std_devs(pred) * 1.96\n", "# 1.96 to convert standard deviation to 95% confidence interval" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1)\n", "\n", "# plot raw data\n", "ax.scatter(x, y, label='data')\n", "\n", "# plot fitted line\n", "ax.plot(x, pred_nom, label='model')\n", "\n", "# plot uncertainty envelope\n", "ax.fill_between(x, pred_nom + pred_err, pred_nom - pred_err, color='C0', alpha=0.2, label='95% CI',\n", " zorder=-1) # zorder sets the 'vertical' of elements on the axis\n", "\n", "# axis labels\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "\n", "# legend\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogram\n", "\n", "For example, of the model-data residuals" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'N')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fX9prhoDWrKp6HsD2Oeir6utJLgT+ndm868+tqh8neS1wKbM3/huGb/9L4I1J/nxYPnMfSvirJM8fXr+8qm5IcgnwtuGT/v8Bn2E2QrhnkguGdr7BbHbIS/ehTel2cQI5SWrME8OS1JghIEmNGQKS1JghIEmNGQKS1JghIEmNGQKS1JghIEmN/T+h0lho2YkZFwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculate residuals\n", "resid = pred_nom - y\n", "\n", "fig, ax = plt.subplots(1, 1)\n", "\n", "ax.hist(resid, 10)\n", "\n", "ax.set_xlabel('Model - Data')\n", "ax.set_ylabel('N')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Images (/gridded data)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# make an image\n", "\n", "# define X and Y axes\n", "X = np.linspace(-32, 160, 100)\n", "Y = np.linspace(-60, 77, 100)\n", "# turn X and Y axes into a grid\n", "XX, YY = np.meshgrid(X, Y)\n", "\n", "# create some synthetic data\n", "def distance(x, y, centre):\n", " \"\"\"Calculate distance from centre point.\"\"\"\n", " return np.sqrt((x - centre[0])**2 + (y - centre[1])**2)\n", "\n", "c = (149.13, -35.28) # center of feature\n", "Z = np.sin(0.2 * distance(XX, YY, c)) # sine wave radiating from center\n", "Z += np.random.normal(0, .1, XX.shape) # some noise" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "# draw an image\n", "im = ax.imshow(Z)\n", "cb = fig.colorbar(im) # create a colour bar\n", "\n", "# labels\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "cb.set_label('Z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "but X and Y data are incorrect...? By convention, images don't have X and Y axes, and the 'origin' is in the top left. This can be quite disorienting if you have gridded data with defined X and Y axes, and you want to relate the image to physical coordinates. You *can* get the scales right in the image by fiddling around with axis limits, but this is fiddly, and gets very boring very quickly. A better option:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "# draw a 'pseudocolor 2D mesh' of the data\n", "im = ax.pcolormesh(XX, YY, Z) # this also takes the X and Y grids\n", "cb = fig.colorbar(im) # create a colourbar\n", "\n", "# set aspect ratio\n", "ax.set_aspect(1)\n", "\n", "# labels\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "cb.set_label('Z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much more useful for most scientific applications, where you want to keep track of spatial dimensions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Colour Scales\n", "\n", "Are important. Matplotlib has put [a lot of effort](https://matplotlib.org/tutorials/colors/colormaps.html) into making them good.\n", "\n", "Main points:\n", "- Around 10% of men are colourblind. Given academic demographics, this means that >5% of your audience will be.\n", "- Use *perceptually uniform colour scales*. These avoid introducing artefacts in your data, and will look sensible in colour, black and white, and to colourblind people.\n", "\n", "Colour scales are called 'colourmaps' - they're used to 'map' your data from a value to a colour. Colourpams live in:\n", "\n", "```python\n", "plt.cm.\n", "```\n", "\n", "**Hint**: try tying `plt.cm.` followed by Tab to see all available colour maps.\n", "\n", "To use a different colourmap:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "# draw an image\n", "im = ax.pcolor(XX, YY, Z, cmap=plt.cm.Blues) # now we give it the X and Y coordinates too!\n", " # This is how you specify colourmaps. You can do this\n", " # in any plot where you're 'mapping' a continuous variable\n", " # to a colour scale (i.e. image, pcolor, and scatter plots)\n", "cb = fig.colorbar(im)\n", "\n", "# set aspect ratio\n", "ax.set_aspect(1)\n", "\n", "# labels\n", "ax.set_xlabel('X')\n", "ax.set_ylabel('Y')\n", "cb.set_label('Z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maps : Geographic Data\n", "\n", "I'm using `cartopy` here - the main mapping library in Python. You may also read about `basemap` on the web, but this is gradually being phased out in favour of `cartopy`, so this is the best one to learn.\n", "\n", "Installing it can be a bit tricky. The most reliable way is with `conda`:\n", "\n", "```bash\n", "conda install cartopy\n", "```\n", "\n", "I'm sure it's possible with `pip` too, but I've heard of people running into problems." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "import cartopy\n", "import cartopy.crs as ccrs # Coordinate Reference Systems" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a figure\n", "fig = plt.figure(figsize=[6, 6])\n", "\n", "# add an axis with a map projection\n", "ax = fig.add_subplot(1, 1, 1, projection=ccrs.PlateCarree())\n", "\n", "# add 'features' to the map\n", "ax.add_feature(cartopy.feature.LAND, color=(1,1,1,0.9)) # land masses\n", "ax.add_feature(cartopy.feature.COASTLINE) # coast lines\n", "# draw country borders\n", "ax.add_feature(cartopy.feature.NaturalEarthFeature('cultural', 'admin_0_boundary_lines_land', scale='110m'), \n", " edgecolor=(0,0,0, 0.3), facecolor=(0,0,0,0))\n", "\n", "# set view window\n", "ax.set_extent([-28, 62, -35, 60]) # [left, right, bottom, top]\n", "\n", "# add lat/lon grid\n", "gl = ax.gridlines(crs=ccrs.PlateCarree(), draw_labels=True, linestyle='--', zorder=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatter Points on a map" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "N = 150\n", "lons = np.random.uniform(0, 120, N)\n", "lats = np.random.uniform(-30, 79, N)\n", "values = np.sin(0.62 * np.sqrt((lons - c[0])**2 + (lats - c[1])**2))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a figure\n", "fig = plt.figure(figsize=[13, 6])\n", "\n", "# add an axis with a map projection\n", "ax = fig.add_subplot(1, 1, 1, projection=ccrs.PlateCarree())\n", "\n", "cp = ax.scatter(lons, lats, transform=ccrs.PlateCarree(), \n", " # note use of 'transform' here to tell it the coordinate system\n", " c=values, vmin=-1, vmax=1, cmap=plt.cm.RdBu, \n", " # note use of 'c=' here to specify point colour. This works with any continuous variable.\n", " edgecolor='k', linewidth=0.6)\n", " # this puts a line around the markers\n", "\n", "fig.colorbar(cp)\n", "\n", "# draw coastlines\n", "ax.add_feature(cartopy.feature.LAND)\n", "ax.add_feature(cartopy.feature.COASTLINE)\n", "\n", "ax.set_extent([-180, 180, -90, 90])\n", "\n", "gl = ax.gridlines(crs=ccrs.PlateCarree(), draw_labels=True, linestyle='--', zorder=3)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gridded Data" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a figure\n", "fig = plt.figure(figsize=[12, 6])\n", "\n", "# add an axis with a map projection\n", "ax = fig.add_subplot(1, 1, 1, projection=ccrs.PlateCarree())\n", "\n", "ax.pcolormesh(XX, YY, Z, transform=ccrs.PlateCarree(), cmap=plt.cm.Blues)\n", "# again - note use of 'trasform' to tell it the coordinate system.\n", "\n", "# draw coastlines\n", "ax.add_feature(cartopy.feature.LAND, color=(1,1,1,0.9), zorder=2)\n", "ax.add_feature(cartopy.feature.COASTLINE, zorder=2)\n", "\n", "ax.set_extent([-180, 180, -90, 90])\n", "\n", "gl = ax.gridlines(crs=ccrs.PlateCarree(), draw_labels=True, linestyle='--', zorder=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Crossplots [`corner`](https://corner.readthedocs.io/en/latest/)\n", "\n", "A nice library for creating crossplots of complex data. Worth a look!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Matplotlib Gallery](https://matplotlib.org/gallery.html)\n", "\n", "A fantastic resource for working out how to draw different types of plots. Has figures with example code." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Style Sheets](https://matplotlib.org/users/customizing.html)\n", "\n", "Style Files allow you to heavily customize your plot options, making many things like symbol size, font size or line width automatic.\n", "\n", "You can directly modify the matplotlibrc file that contains the default settings to make them permanent on your system.\n", "\n", "However, there is better ways to indicate your preferences locally, as they may change from one paper to another, and one publisher to another.\n", "\n", "The first option is to modify the matplotlibrc params directly in the notebook, after calling matplotlib.\n", "\n", "For instance, to get the x and y label fontsize to 12, we can do:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "import matplotlib # this time we need the full import\n", "matplotlib.rcParams['axes.labelsize'] = 16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and now if we make a plot..." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Y')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([1,2,3,3.5],[2,3,5,10.],'ko')\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Making the labels at 42 and the dots size 16, and the background cyan" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Y')" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matplotlib.rcParams['axes.labelsize'] = 42\n", "matplotlib.rcParams['lines.markersize'] = 16\n", "plt.plot([1,2,3,3.5],[2,3,5,10.],'ko')\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, now there is an even clever way of doing that without indicating the rc params in the notebook: using style files.\n", " \n", "Style files are usually located in ~/.matplotlib/stylelib/ on Unix system (I don't know on Windows...)\n", "\n", "But you can put them anywhere. Following the indicating of the [Matplotlib help](https://matplotlib.org/users/customizing.html), you can modify the properties you want to modify by setting them correctly in a style file, and then calling it in you notebook.\n", "\n", "The trick is that you can put those files wherever you want, as long as you indicate the good path to the calling command.\n", "\n", "I have put one that I used for a Springer book in this folder. I can call it and plot again my dots:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Y')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kM53OSGqAISKpiCEiqYghIqmIISKpiCGioYmIH4+Ir0bE1MC27RGxGBE/22Rv2jiGiIYmM/+J3hcQ3xMRj4mIrcBf0rtX4qPNdqeN4n0iGrqIuBWYoPdlxCcAv5j+j7ZpGSIauv53ND5N707JH8vMTsMtaQN5OqONcAm9L549mt5XzrWJjf13ZzRaImI7ve9tvBZoAe+OiKdn5pea7UwbxdMZDU1EnEPv27f/kpmv6m97O73rIldm5rG1/l7jydMZDdMccD5w/cC2VwKPBX6nkY604ZyJSCriTERSEUNEUhFDRFIRQ0RSEUNEUhFDRFIRQ0RSEUNEUpH/B04O1jOWm6aVAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('./springer_1c.mplstyle')\n", "plt.plot([1,2,3,3.5],[2,3,5,10.],'ko')\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Y\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Using color bars on a series of data (e.g. spectra of something)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometime you have 5 spectra and you want to plot them as a function of something, e.g. the number of frogs present this day (was rainy today...).\n", "\n", "You can do that in a loop and assign colors manually (bad call), or use the colorbar features of matplotlib (clever!):\n", "\n", "(this solution is from [stackoverflow](https://stackoverflow.com/questions/26545897/drawing-a-colorbar-aside-a-line-plot-using-matplotlib?utm_medium=organic&utm_source=google_rich_qa&utm_campaign=google_rich_qa))\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "import matplotlib" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# an array of parameters, i.e. number of frogs, each of our curves depend on a specific\n", "# value of frog number\n", "parameters = np.linspace(0,10,11)\n", "\n", "# norm is a class which, when called, can normalize data into the\n", "# [0.0, 1.0] interval.\n", "norm = matplotlib.colors.Normalize(\n", " vmin=np.min(parameters),\n", " vmax=np.max(parameters))\n", "\n", "# choose a colormap\n", "c_m = matplotlib.cm.cool\n", "\n", "# create a ScalarMappable and initialize a data structure\n", "s_m = matplotlib.cm.ScalarMappable(cmap=c_m, norm=norm)\n", "s_m.set_array([])\n", "\n", "# plotting 11 sines of varying amplitudes, the colors are chosen\n", "# calling the ScalarMappable that was initialised with c_m and norm\n", "x = np.linspace(0,np.pi,31)\n", "for parameter in parameters:\n", " plt.plot(x,\n", " parameter*np.sin(x),\n", " color=s_m.to_rgba(parameter))\n", "\n", "# having plotted the 11 curves we plot the colorbar, using again our\n", "# ScalarMappable\n", "c_bar = plt.colorbar(s_m)\n", "c_bar.set_label(r\"Frog number\")\n", "\n", "plt.xlabel('Proximity of ANU')\n", "plt.ylabel('Humidity in Canberra')\n", "\n", "# That's all, folks\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Ternary Plots\n", "\n", "Ternary plots can be made using the 'python-ternary' package.\n", "\n", "We can show points for specific compositions there" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "import ternary" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# points\n", "tecto = np.array([[0,100.0],[12.5, 75,12.5],[16.67, 66.66,16.67],[25, 50,25]])\n", "binary =np.array([[0, 66,33],[0, 80,20],[0, 75,25],[0,50,50]])\n", "join3 =np.array([[8,75,17.],[16.66,50,33.33]])\n", "\n", "\n", "# make figure\n", "figure, tax = ternary.figure(scale=100)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color=\"black\", multiple=20)\n", "tax.gridlines(color=\"blue\", multiple=10, linewidth=0.5)\n", "\n", "# Plot the data\n", "tax.scatter(tecto, marker='s', color='red',label=\"tectosilicates\")\n", "tax.scatter(binary, marker='o', color='blue',label=\"binary\")\n", "tax.scatter(join3, marker='D', color='purple',label=\"joint 3\")\n", "\n", "# Show lines\n", "tax.line([0,100,0],[50,0,50],linestyle='--',linewidth=2.0,color='red')\n", "tax.line([0,100,0],[33.33,0,66.66],linestyle='--',linewidth=2.0,color='purple')\n", "\n", "# put names at corners\n", "tax.legend()\n", "tax.top_corner_label(r'SiO$_2$')\n", "tax.right_corner_label(r'Al$_2$O$_3$')\n", "tax.left_corner_label(r'Na$_2$O')\n", "\n", "# Remove default Matplotlib Axes\n", "tax.clear_matplotlib_ticks()\n", "\n", "a = figure.axes[0]\n", "a.axes.set_frame_on(False)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'/home/oscar/.config/matplotlib/matplotlibrc'" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matplotlib.matplotlib_fname()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Using Gridspec\n", "\n", "Gridspec provides a fine-tune control for subplots.\n", "\n", "See [there](https://matplotlib.org/users/gridspec.html) for more info!" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0.5,'Something\\nelse')" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.gridspec as gridspec\n", "\n", "# it is recommended to create a figure object with gridspec\n", "fig = plt.figure()\n", "\n", "# we define the grid, a 2 by 2 one\n", "gs = gridspec.GridSpec(2, 2)\n", "\n", "# we assign subplots\n", "ax1 = plt.subplot(gs[0, 0])\n", "ax2 = plt.subplot(gs[1,0])\n", "ax3 = plt.subplot(gs[:,1])\n", "\n", "# setting titles\n", "ax1.set_title('AX1')\n", "ax2.set_title('AX2')\n", "ax3.set_title('AX3')\n", "\n", "# tight_layout() : it apply to the fig() object, so those are the same values for the entire figure... \n", "# If you want more control, you will have to do that manually...\n", "fig.tight_layout()\n", "\n", "# you can later call the figure objects for plotting\n", "ax1.plot([1,2,3],[4,5,6],\"ro\",label=\"dummy data #1\")\n", "ax2.plot(np.arange(0,100,0.1),np.exp(-1/2*((np.arange(0,100,0.1)-50)/25)**2),\"b--\",label=\"Gauss\")\n", "ax3.annotate(\"Something\\nelse\",(0.5,0.5),ha='center',fontsize=26)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Obspy : for seismologists!\n", "\n", "See documentation [here](http://docs.obspy.org/tutorial/index.html)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from obspy import read\n", "\n", "st = read('http://examples.obspy.org/RJOB_061005_072159.ehz.new')\n", "tr = st[0] # assign first and only trace to new variable\n", "st.plot()" ] } ], "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": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }