{ "metadata": { "name": "", "signature": "sha256:18019814de8f93733ebd6abcfd723245e1f6a462bd896b3bf4f75be9181be84d" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# An introduction to matplotlib\n", "\n", "Matplotlib is a Python package used widely throughout the scientific Python community to produce high quality 2D publication graphics. It transparently supports a wide range of output formats including PNG (and other raster formats), PostScript/EPS, PDF and SVG and has interfaces for all of the major desktop GUI (Graphical User Interface) toolkits.\n", "\n", "Matplotlib comes with a convenience sub-package called ``pyplot``. For consistency with the wider maptlotlib community, this should always be imported as ``plt``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The matplotlib figure\n", "\n", "At the heart of **every** matplotlib plot is the \"Figure\" object. The \"Figure\" object is the top level concept that can be drawn to one of the many output formats, or simply just to screen. Any object that can be drawn in this way is known as an \"Artist\" in matplotlib.\n", "\n", "Lets create our first artist using pyplot, and then show it:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "fig = plt.figure()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "On its own, drawing the figure artist is uninteresting and will result in an empty piece of paper (that's why we didn't see anything above).\n", "\n", "By far the most useful artist in matplotlib is the \"Axes\" artist. The Axes artist represents the \"data space\" of a typical plot. A rectangular axes (the most common axes, but not the only axes, e.g. polar plots) will have two (confusingly named) Axis Artists with tick labels and tick marks.\n", "\n", "There is no limit on the number of Axes artists that can exist on a Figure artist. Let's go ahead and create a figure with a single Axes Artist, and show it using pyplot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax = plt.axes()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib's ``pyplot`` module makes the process of creating graphics easier by allowing us to skip some of the tedious Artist construction. For example, we did not need to manually create the Figure artist with ``plt.figure`` because it was implicit that we needed a figure when we created the Axes artist.\n", "\n", "Under the hood matplotlib still had to create a Figure artist; we just didn't need to capture it into a variable. We can access the created object with the \"state\" functions found in pyplot called **``gcf``** and **``gca``**.\n", "\n", "**Exercise 1:**\n", "\n", " * Go to matplotlib.org and search for what these strangely named functions do.\n", " You will find multiple results so remember we are looking for the ``pyplot`` versions of these functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Working with the axes\n", "\n", "As has already been mentioned, most of your time building a graphic in matplotlib will be spent on the Axes artist. Whilst the matplotlib documentation for the Axes artist is very detailed, it is also rather difficult to navigate (though this is an area of ongoing improvement).\n", "As a result, it is often easier to find new plot types by looking at the pyplot module's documentation.\n", "\n", "The first and most common Axes method is ``plot``. Go ahead and look at the ``plot`` documentation from the following sources:\n", "\n", " * http://matplotlib.org/api/pyplot_summary.html\n", " * http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot\n", " * http://matplotlib.org/api/axes_api.html?#matplotlib.axes.Axes.plot\n", " \n", "Plot can be used to draw one or more lines in axes data space:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax = plt.axes()\n", "line1, = ax.plot([0, 1, 2, 1.5], [3, 1, 2, 4])\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the axes view limits (``ax.viewLim``) have been updated to include the whole of the line.\n", "Should we want to add some spacing around the edges of our axes we could set the axes margin using the Axes artist's [``margins``](http://matplotlib.org/api/axes_api.html?highlight=axes#matplotlib.axes.Axes.margins) method. Alternatively, we could manually set the limits with the Axes artist's [``set_xlim``](http://matplotlib.org/api/axes_api.html?#matplotlib.axes.Axes.set_xlim) and [``set_ylim``](http://matplotlib.org/api/axes_api.html?#matplotlib.axes.Axes.set_ylim) methods.\n", "\n", "------\n", "\n", "**Exercise 2:** Modify the previous example to produce three different figures that control the limits of the axes by:\n", "\n", "1\\. Manually setting the x and y limits to $[0.5, 2]$ and $[1, 5]$ respectively." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ " 2\\. Defining a margin such that there is 10% whitespace inside the axes around the drawn line (Hint: numbers to margins are normalised such that 0% is 0.0 and 100% is 1.0)." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3\\. Setting a 10% margin on the axes with the lower y limit set to 0. (Note: order is important here)" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "--------------\n", "\n", "In truth, the previous example can be simplified to be even shorter. First, we are not using the returned artists, so we could avoid the assignment and just call the appropriate functions. Second, in exactly the same way that we didn't *need* to manually create a Figure artist when using the ``pyplot.axes`` method, we can remove the ``plt.axes`` if we use the ``plot`` function from ``pyplot``. Our simple line example then becomes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot([0, 1, 2, 1.5], [3, 1, 2, 4])\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplicity of this example shows how visualisations can be produced quickly and easily with matplotlib, but it is worth remembering that for full control of Figure and Axes artists we can mix the convenience of ``pyplot`` with the power of matplotlib's object oriented design." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "--------\n", "\n", "**Exercise 3:** By calling ``plot`` multiple times, create a single axes showing the line plots of $y=sin(x)$ and $y=cos(x)$ in the interval $[0, 2\\pi]$ with 200 linearly spaced $x$ samples." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "--------\n", "\n", "## Multiple axes on the same figure (aka subplot)\n", "\n", "Matplotlib makes it relatively easy to add more than one Axes artist to a figure. The ``add_subplot`` method on a Figure artist, which is wrapped by the ``subplot`` function in ``pyplot``, adds an Axes artist in the grid position specified. To compute the position, we must tell matplotlib the number of rows and columns to separate the figure into, and which number the axes to be created is (1 based). For example, to create axes at the top right and bottom left of a $3 x 2$ notional grid of Axes artists the grid specifications would be ``2, 3, 3`` and ``2, 3, 4`` respectively:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "top_right_ax = plt.subplot(2, 3, 3)\n", "bottom_left_ax = plt.subplot(2, 3, 4)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "--------\n", "\n", "**Exercise 3 continued:** Copy the answer from the previous task (plotting $y=sin(x)$ and $y=cos(x)$) and add the appropriate ``plt.subplot`` calls to create a figure with two rows of Axes artists, one showing $y=sin(x)$ and the other showing $y=cos(x)$." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "--------\n", "\n", "## Further plot types\n", "\n", "Matplotlib comes with a huge variety of different plot types. Here is a quick demonstration of the more common ones." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-180, 180, 60)\n", "y = np.linspace(-90, 90, 30)\n", "x2d, y2d = np.meshgrid(x, y)\n", "data = np.cos(3 * np.deg2rad(x2d)) + np.sin(2 * np.deg2rad(y2d))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.contourf(x, y, data)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.scatter(x2d, y2d, c=data, s=15)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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29BPxaAo4KNSavePjuH7tV2zuKuLhLuCU5paMaBbE/fv20dtZxP1x4OIIc/p4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5DupaBN5LJlK7lwYQ4FIdbzl31bjho1ntu376Ag+BEYQ7W6NTt16sGPPvqIgmD1xKANw8Ob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\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U+KvDGjNhKu2C4omUdNo0H8XYuC5ctmIVxb5RxLiztOr4KX2Dwrhz506KPQOIhX/SYvhq\nyt3chaP+bm5stHM3rdZ+Rwel0PtzUMgYsnsOQ377lBKlM8+ePUuZUsYeP3ThwKN96awRbC88vFw4\nboUnV50MpE+QjNu2/8TICH9+MqURTx8Do6PEXLp0MRO6tuPwbjZMXwN2a2nHieNGcMyIFCY2FzF9\nDpjS2pa9Ejpx8YJ5bBUg5rnJ4PSOjRgVGcKtWzazsbeYp+aCywZa0sfThUeOHKGHm5i/fwN+/yno\nopTyzJkzVCjF3LpXxE27bKlQ2DMtLY0yhZQTfgrj7ENNKXeV8s8//6RK48LYb3ox4Y9RVGpdufu3\n3fQODqTr5yPofWY9ZU1DuOqbNWzRrj2tk8cS29Jo91FHTpoxk/0GpVAU05/4NJ22LZOZ2H8gp8/8\nlOKAOGJkGq1bTWTTmDZcu249xR6RxLAztGq/kO6+gdy7dy/Frj7E+BO06L+WTko3njp1inYKF+LL\ng8Sn22nvLOz72CvkdNrxNZ32b6C9SslTp05R5qJg0/VD2fr4dMq8XHjw4EF6aT3Y88tmnHK6M73C\nXLhx00ZGt4xgyhQZt6e5sEUbJ86bP4f9+3bj4F62TN8N9u4i4ojUgZw6aQzjo+yYthQcFW/DLh1i\nuXL5Ukb5iXl2GvhpVyuGBfty586dDNCI+edkcHU/C7q7ynnixAmqlWIemQdunQQq3+85KORi7l4L\n/rYOVCrEPHv2LBVKCRdvduaGo0q6ahx47Ngxarzc2GdFFCef7Ez3IBW3/7yNwZGhDJnVne3OzaY6\nJpBfLlvCdt270nF4Ep3Td9OxW3uOnDiBKSPHUNQ6kVibTtv4FHbq0YvzFiymOLAVMeUcG3WczpDI\nKG7espViTWMi5RQtOy2ji7sPjxw5QrHCg0j5nej5PaVyF545c4Z2MiUxcS8xdhfFsvdrIFcQX/5E\nrDtEO5Ur//zzT8o1blR/M51ef3xLqdaTv/32G7XBfmzxeWcmnhlLTVNvrv5mNdu0b8mu43y5OK0F\nm3RUc/rMKRya0o89+zvwcLodeyXbc+CgXvx09nTGtRAzbRM4MdmabWKb8ru13zBSK+aZz8CF/awY\nqPXgvn376OMi5onx4Nr+FnRTOgluss52PDgJ3D4SVMgE5hXOYu74FNy/EFTJ7Xjq1Cm6ujpy3Wrw\n6D7Qy1PMgwcP0ker4cgvPfn16UD6hzlz0w8b2axlM340pQU/ThtIvza+nDt/LhP69ab74A6MTF9B\nde9YDh7xMcdMmUL7Dh3Z6MjvFKUMY2znzly6fCXFwS2IL87Sqv+n9A15X3fUAcToP2mRuJpyNw+h\n7jirieQjRI+tdJApG5y0/lfVTpK0Wrhw4cJ/36Pofx2LFi3CXxnW+CmfoLTtBsA9GkafTnixaxQq\ndUR+01lAYGfQrz1qj81HvdGI2xEDgdbJQFBLWKf9DIuaCmS1iIFV6nBYhkfA9tIFWLx8iZdae2g+\nS4Z9Yy/oHr2C7l4hSm2L0WlNOygCnFFbVYfXmUV4UXQPn+30hEYrgrWdCRl/lCE7Kwt/HtbD2wtw\nV+ux67dKpKVfRdoqPfzdgQgfA776uQgPHzzAtpQKNPMG4gKNmPRDIWoqS7Go7QvEBQKdA02Y9ms5\nLEz1GN7kHnq3AGIDiQ2nLFFdb0KXiCwM7wk0DwGOXxHhTbkV/BrfwsSZlggOs8LdW42Q/8gKRqcX\nGPyVFpogB7wrrUd+Vi2eVRWi9dZ+cPRTwGRJvDjzEDl370L9+9ew8dEALk54s+80rpw5A+POy4CH\nLww+wSj5eS1u5+aieswewDMcRr9WKPxpFl6+KUVRm1WAdyxM2ngU7RqDGoMlHvpNBAK7g97tYDi/\nHAa9HjfVvYDoIYB3NGxz98GiuhTXNS3AvpMBvwiI8q6iUdEzPHBzgu2iqbAO9oOp8DUsc/NQYCpH\n+IYhkPi7QK/Xo+ziIzzMv4eR+1tD4SuBjaMVbhx5isvnM7DjggLu3tZw1wK/bX6Jq5nZOL61DsF+\nQPMwAxasfoUXBfnYMLwUMYFApwgjRq1+AeoqMbtlPjqHAO0DifkHa2Ey1GOA720kNwdaK3rP+AAA\nEc5JREFU+gI/X7VGRa0F2miuYmxXoIkWSLsrQmGZFXxdbuKzCXo0DgAe5jfC/Sc2oO0DzFnjAJ8A\na1RX6ZGbSTx78wjDdraEUiuBlR1x+0QBrl+/gdjTn8DBRwkbDyfc35GOjHMXIE3bBWt/byAiEPnL\n1yMv7xEqZm4DApvBGBmHwpWTUPquBi/aLgIC42AK6ozyXdNQb7DEPY9UIKQ36BkLi2vrYdLVIEvS\nBWg2HNA0h+jxcVhWF+GGOAzG+E8AjzDYFN6CdfEj3LZxQv20rwCfIJjKSyG6l4W8qlIot34GWz8P\nGCyBqrPXcevuLcT/ngqpjxw2LmLc35eN86cvYMnlFnDxtYc6WISDa3NxOzcXW/ca0TjcCi0+IhbM\nykdp8UusmlCE2CZAfEsTxiwqgoWxBpNaPUL3pkC7EGL5YQN09Xr00tzEkBZAtDew75YtSmss0UJy\nHZM7EhGewNV8EZ6VNYKbTS4WDdMh2At4UWyJW/m2MOpv47uv6+GnFe6IuHilER4/u4tF+7yg9hXB\nztGEi0fe4NL5THx8YSBk3k6QaqW4tDkD1zKuI/D4QtgHe0Lc3A9ZC3/E0+eFeLtiFSybR8HULg4F\nUyahUk/kx88CmnQGw9qj9pf5qNebcNtjABCZDHi3hHXWNljUvcNVqzZAs7GAaxOICtMQE6w234z2\nr6qdwH9Ym8jfTwurh4cEOVfeYbh6+CDY3xc29w4LYv0n52FlCUQ0Dobo5nFArwOe3Yb+zXOEh4VB\nlH4OrKoCXzyHLjcXTZo0wbtLd6Erfgt96TtUXriLiIgIvMx5jfL8CuiqdXh+qhBhoeEoeVWHRzk1\nMOhNyPy9BsGBobC2tkHaeeFPHz1hDR/fIPh6q3HokjDEw5ct4eurhVbri0M3LEECh7IBX28NtH5B\nOHxHkNSdug842IsRGByGYzki6A1A9lOguMKA0LBInLwqRk0d8OQFcOexDhEREcg4b4HyMqL4jQnX\nLhsRGRmJR9fLUfqiFrWVBtw5U4nw8HCUPylG2d3XMNYb8OrEI4SFhAI6A6ov5YBGI+qOXESQ1g9K\nD0/g3BGAhNW5w/D39YW3jxYW2YcBABbZh+Dl44tAPy0a5R1+vwa/Q6Z0RUigFraPjgiOsM8zAH01\nIkNDYPfgD0FGWpQH3euHiIiIgCjnLFBVAZS8hPHeVURGRqI+4waMr4thevsOTMtEREQEyu+9QOXD\n1zDU6lD+532EhTRGzds65F8rgdFgwr1jrxHkHwwnmQQX/hDkvWcP6+Hr6w9fXw8cEro2OHzKAr4+\nPtBq/XEo00pYl0zAx9MVWv9gHL4lSHnPPwRg0QhBIRE4fl8EnQG4XQg8L9UjLDwcp2/bo6oWKCgG\nbjw2IDIyEpeyLVBcCpSWAxeuWSIiIgJ5uTUozDegptqEjFNAWGg4yl9W4kVOGYx6E+79/gaNg8Jg\nY22NN+fugSYTio7kIMDXDxqtL+oPnRQuWTl8GlpfX/hqtbC89H6+Lx6CxtsXQX5aWN9+n7t/CmJ7\nB4SFBED05Bhg1AMvs2GsKkFkeCjE+ScBXQ1Q9gS6V3cQERGBRg/SBRnpuzfAo8to0qQJDLevA69f\nANWVsLt6BmFhYah+8gJ1d5/AVK+D/kQGwoNDQJ0Rry49hclowosj9xGoDYDG0xXXjgiS36uHSqD1\n9YevrzeOHxKcek8cNsHH1xNav0AcThekvMcuAK4qGfwCG+PIDRsYTUDGQ6C6HggJjcQfD+xQpwfy\nioCHrwXmzz4QoaIGeFkOXH0iMJ9xj3hdBrytAtJyrREREYH7D3R49BiorQVOnhUjJCQc78p1uHet\nCgYDkXmsBgH+jeEoc8SjP56AJB4efgI/Xz94aX1ReugKAKDscAZ8fX3gr9XC8vjvwqU9J36Hm7c3\ngv21sLl+RPjy3zmPRhZAROMgiB4eBww64NUt6EqfIzw8DPYvTgO6KqCiAIbCG+ZrM//l8ZffKf6J\n8VeHVVBQQL/gCDayEVHh6sHr16+zrKyMzT9qSysbWzo4CVLH2tpadk7oRSsbW4ocJNyxcxeNRiOH\njBxJK1tbWtvZcdWaNSTJ2fPm0trWho1sbThjjiB1XPvdt7S1s6W1rTWHDh9Kg8HA3/bspkQqpo1t\nI3ZP7MSamhqeOXOGSqWEtrZWjG3VhCUlJbxx4wa9PFQU2TZiWIgv8/Pz+fjxYzYO9KbIthG9PVyY\nk5PDN2/e8KOoCIpsGlEllzItLY1VVVXs1rktbW2s6Cix4/59+6jX65kypD9tba0otrPh9xvXC1LA\nTyb9X+2dbVBU1xnH/2TvGy+iGHXBXQxxWVxelgUGIS/VaHUVtMG3NFFSNVVTi63RmDq2kyaxrYhW\n7SSxddIkmFAnJk4SkYwjO2byJW8jTqJfIo6zGWECCziJUQcVWML++2HlFgSU4Mpe0/ObuTPs2WH5\n7XOePYe99z7nUFUlaprEzX95liT5953bqGoyFVXmb0pWsqurixX7KhgZE0VZVVj0yDy2t7ezurqa\nMaPjKKkq75s+lRcuXGBNTQ1Hj7dQ0jROysphY2Mjz5w5Q+vEFEqqxvFJyaytrWVTUxNTXbmUFI1x\nYxP4+eef89KlS7x/6kyaZJVRscFbHTs6OvjwwsdoUlQqkdF8vfwNBgIBPvm7tTQpKiVV45ay7STJ\nF7b8jbKmUVJVlqwP3jL479dfpRoVSVlV+Mjjj9Hv9/NQ1SHGjoqhosqcUTCdra2twUrZ+DhqmsTJ\n+U62tLTwq6++4sR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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Titles, Legends, colorbars and annotations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib has convenience functions for the addition of plot elements such as titles, legends, colorbars and text based annotation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``suptitle`` pyplot function allows us to set the title of a figure, and the ``set_title`` method on an Axes artist allows us to set the title of an individual axes. Additionally Axes artists have methods named ``set_xlabel`` and ``set_ylabel`` to label the respective x and y Axis artists (that's Axis, not Axes). Finally, we can add text, located by data coordinates, with the ``text`` method on an Axes artist:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = plt.axes()\n", "# Adjust the created axes so its topmost extent is 0.8 of the figure.\n", "fig.subplots_adjust(top=0.8)\n", "\n", "fig.suptitle('Figure title', fontsize=18, fontweight='bold')\n", "ax.set_title('Axes title', fontsize=16)\n", "\n", "ax.set_xlabel('The X axis')\n", "ax.set_ylabel('The Y axis $y=f(x)$', fontsize=16)\n", "\n", "ax.text(0.5, 0.5, 'Text centered at (0.5, 0.5)\\nin data coordinates.',\n", " horizontalalignment='center', fontsize=14)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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igRQkOTkZzs7OyrSTkxMuXrxYghEREVGZuQore1dNbpdSurm5ISkpqbhCIiJ6JtSpUwen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\n5lItbzx8zJjPtHXrVvz444/YuXNnEUZ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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The creation of a legend is as simple as adding a \"label\" to lines of interest. This can be done in the call to ``plt.plot`` and then followed up with a call to ``plt.legend``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-3, 7, 200)\n", "plt.plot(x, 0.5*x**3 - 3*x**2, linewidth=2,\n", " label='$f(x)=0.5x^2-3x^2$')\n", "plt.plot(x, 1.5*x**2 - 6*x, linewidth=2, linestyle='--',\n", " label='Gradient of $f(x)$', )\n", "plt.legend(loc='lower right')\n", "plt.grid()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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NcOgQd+YiRt9c+waLQhbBso4lXm/1Onq16IVeLXuhU9NOqG1SG0VFwM8/A1Ip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\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colorbars are created with the ``plt.colorbar`` function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-180, 180, 60)\n", "y = np.linspace(-90, 90, 30)\n", "x2d, y2d = np.meshgrid(x, y)\n", "data = np.cos(3 * np.deg2rad(x2d)) + np.sin(2 * np.deg2rad(y2d))\n", "\n", "plt.contourf(x, y, data)\n", "plt.colorbar(orientation='horizontal')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CVJEfwvoxqc361o6TxRaNPTnYZfaANsMA1JmG7GQThkHrvmwhbDF8p/VKNQvmqGnvCLan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\nQyKRQE1NzbT3I5G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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib comes with powerful annotation capabilities, which are described in detail at http://matplotlib.org/users/annotations_intro.html.\n", "\n", "The annotation's power can mean that the syntax is a little harder to read, which is demonstrated by one of the simplest examples of using annotate:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-3, 7, 200)\n", "plt.plot(x, 0.5*x**3 - 3*x**2, linewidth=2)\n", "plt.annotate('Local minimum',\n", " xy=(4, -18),\n", " xytext=(-2, -40), fontsize=15,\n", " arrowprops={'facecolor': 'black', 'frac': 0.3})\n", "plt.grid()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Savefig & backends\n", "\n", "Matplotlib allows you to specify a \"backend\" to drive rendering the figure. The backend includes the graphical user interface (GUI) library to use, and the most used backend (as it is normally the default one) is the \"TkAgg\" backend. When ``plt.show()`` is called, this backend pops up a figure in a new TkInter window, which is rendered by the anti-grain graphics library (also known as \"agg\"). Generally, the most common reason to want to change backends is for automated figure production on a headless server. In this situation, the \"agg\" backend can be used:\n", "\n", " import matplotlib\n", " matplotlib.use('agg')\n", " import matplotlib.pyplot as plt\n", " \n", "Note: The backend must be chosen before importing pyplot for the first time, unless the ``force`` keyword is added.\n", "\n", "Non-interactive backends such as the \"agg\" backend will do nothing when **``plt.show()``** is called - this is because there is nowhere (no graphical display) specified for a figure to be displayed.\n", "\n", "To save a figure programmatically the ``savefig`` function can be used from _any_ backend:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(range(10))\n", "plt.savefig('simple.svg')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For graphical backends, showing and subsequently closing the window of a figure results in the figure being cleared from the matplotlib system. This is not the case for ``plt.savefig``, which typically should be called before ``plt.show``.\n", "\n", "It is also possible to manually close figures without showing them by using the ``plt.close`` function. This could be called to remove the current figure after saving it with ``plt.savefig`` on the occasion where not clearing the figure might interfere with subsequent plots to be created." ] } ], "metadata": {} } ] }