{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting with Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IPython works with the [Matplotlib](http://matplotlib.org/) plotting library, which integrates Matplotlib with IPython's display system and event loop handling." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## matplotlib mode" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make plots using Matplotlib, you must first enable IPython's matplotlib mode.\n", "\n", "To do this, run the `%matplotlib` magic command to enable plotting in the current Notebook.\n", "\n", "This magic takes an optional argument that specifies which Matplotlib backend should be used. Most of the time, in the Notebook, you will want to use the `inline` backend, which will embed plots inside the Notebook:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also use Matplotlib GUI backends in the Notebook, such as the Qt backend (`%matplotlib qt`). This will use Matplotlib's interactive Qt UI in a floating window to the side of your browser. Of course, this only works if your browser is running on the same system as the Notebook Server. You can always call the `display` function to paste figures into the Notebook document." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making a simple plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With matplotlib enabled, plotting should just work." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAABLUAAAMQCAYAAADRs1frAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAAWJQAAFiUBSVIk8AAAIABJREFUeJzsvXn8LFdd5v+c3C03e24WsnOTsEokECw2WUKFVRSXF7bi\n", "RlQQdMB12tFRAWFc5tcyiqMI47gh42gjOioKSlJhCSA0EQgBQgjJJQnhQpJ7s9/ctX5/nHP6W9/+\n", "dtdedT7n1PN+ve6rbndXV5/q5dtVTz/Pc1SapiCEEEIIIYQQQgghxCeOcj0AQgghhBBCCCGEEEKq\n", "QlGLEEIIIYQQQgghhHgHRS1CCCGEEEIIIYQQ4h0UtQghhBBCCCGEEEKId1DUIoQQQgghhBBCCCHe\n", 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{ "cell_type": "markdown", "metadata": {}, "source": [ "These images can be resized by dragging the handle in the lower right corner. Double clicking will return them to their original size." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thing to be aware of is that by default, the `Figure` object is cleared at the end of each cell, so you will need to issue all plotting commands for a single figure in a single cell." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading Matplotlib demos with %load" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IPython's `%load` magic can be used to load any Matplotlib demo by its URL:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAABKkAAAMnCAYAAAD1XgGYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAAWJQAAFiUBSVIk8AAAIABJREFUeJzs3Xm0pWV9J/rvc05VUQU1MhdTMY8lgwioQMRGcUIhRBHF\n", "GTCKUcAERVTiCChEMQYHxClIHGNak2jS3VlJJ52k+2a+t3t1eqVv3xhAQKAKqqj5nPPeP3aVtWtz\n", "ihrOOfvZw+ez1rv2fn/vPmd/F4tVp863nvfZpWmaAAAAAEBNI7UDAAAAAICSCgAAAIDqlFQAAAAA\n", 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region created using a Polygon patch.\n", " * A text label with mathtext rendering.\n", " * figtext calls to label the x- and y-axes.\n", " * Use of axis spines to hide the top and right spines.\n", " * Custom tick placement and labels.\n", "\"\"\"\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Polygon\n", "\n", "\n", "def func(x):\n", " return (x - 3) * (x - 5) * (x - 7) + 85\n", "\n", "\n", "a, b = 2, 9 # integral limits\n", "x = np.linspace(0, 10)\n", "y = func(x)\n", "\n", "fig, ax = plt.subplots()\n", "plt.plot(x, y, 'r', linewidth=2)\n", "plt.ylim(ymin=0)\n", "\n", "# Make the shaded region\n", "ix = np.linspace(a, b)\n", "iy = func(ix)\n", "verts = [(a, 0)] + list(zip(ix, iy)) + [(b, 0)]\n", "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", "ax.add_patch(poly)\n", "\n", "plt.text(0.5 * (a + b), 30, r\"$\\int_a^b f(x)\\mathrm{d}x$\",\n", " horizontalalignment='center', fontsize=20)\n", "\n", "plt.figtext(0.9, 0.05, '$x$')\n", "plt.figtext(0.1, 0.9, '$y$')\n", "\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "ax.xaxis.set_ticks_position('bottom')\n", "\n", "ax.set_xticks((a, b))\n", "ax.set_xticklabels(('$a$', '$b$'))\n", "ax.set_yticks([])\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib 1.4 introduces an interactive backend for use in the notebook,\n", "called 'nbagg'. You can enable this with `%matplotlib notebook`.\n", "\n", "With this backend, you will get interactive panning and zooming of matplotlib figures in your browser." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib notebook" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support.' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " fig.waiting = false;\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " this.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width);\n", " canvas.attr('height', height);\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
')\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('