{ "cells": [ { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "# [Physics 411](http://jklymak.github.io/Phy411/) Time Series Analysis\n", "*Jody Klymak*\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lecture 0: Introduction and Computing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - [What is Timeseries Analysis?](#What-is-Time-Series-Analysis)\n", " - [Computing in this course](#Computing-in-this-course)\n", " - [Introduction to Python](#Introduction-to-Python)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is Time Series Analysis?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time series analysis is the art of extracting quantifiable information from data that is correlated in time. It is differentiated from [univariate statistics](http://en.wikipedia.org/wiki/Univariate_analysis), which deals with data that are uncorrealted in time, i.e. the order in which they are collected does not matter. \n", "\n", "A simple example of a univariate data set would be the weights of a population of people. These weights could be presented in any order, and it would not change the character of the data.\n", "\n", "Conversely, the weight of a given individual over time is an example of a [time series](http://en.wikipedia.org/wiki/Time_series). The data has a natural, chronological order. Furthermore, you might expect that data to be more self-correlated from measurement to measurement because given individual body weight do not tend to change that rapidly. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Illustrative Examples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets consider two time series, and plot them in time. These data sets are fake, in that I make them synthetically. Details are in [Notes00.ipynb](http://nbviewer.ipython.org/github/jklymak/Phy411/blob/master/lectures/Notes00.ipynb). " ] }, { "cell_type": "code", "execution_count": 10, "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 = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Close figure', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0, 30)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We will cheat and use the numpy function for this:\n", "acor1 = np.correlate(y1,y1,'same')\n", "acor1=acor1[len(acor1)/2:]\n", "acor2 = np.correlate(y2,y2,'same')\n", "acor2=acor2[len(acor2)/2:]\n", "\n", "fig,ax=plt.subplots(1,2) # make a figure with two subplots\n", "N=len(y1)\n", "ax[0].plot(acor1/y1.var()/N,label='$y_1$') # plot; note the label for the legend\n", "ax[0].plot(acor2/y2.var()/N,label='$y_2$') # plot; the $y_1$ tells matplotlib to use LaTeX\n", "ax[0].set_xlabel(r'Lag $\\tau$ [s]')\n", "ax[0].set_ylabel(r'$\\left$')\n", "ax[0].legend()\n", "\n", "ax[1].plot(acor1/y1.var()/N)\n", "ax[1].plot(acor2/y2.var()/N)\n", "ax[1].set_xlabel(r'Lag $\\tau$ [s]')\n", "ax[1].set_xlim([0,30])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will discuss *autocorrelation* functions in greater depth, but $y_2$ is not correlated at lags greater than zero. Of course it has an autocorrelation of unity at lag $\\tau=0$. Conversely, $y_1$ is highly correlated at all lags. This should be obvious from the time series plot above. \n", "\n", "Another powerful way to consider the time series that we will cover in detail is to produce a [power spectrum](http://en.wikipedia.org/wiki/Spectral_density) of the data. The power spectrum represents the variance of the time series as a function of frequency.\n", "\n", "**Q** Which of the two time series has more *low* frequency information?" ] }, { "cell_type": "code", "execution_count": 13, "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 = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Close figure', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dat=np.loadtxt('resources/usindustrialprod.txt',skiprows=20)\n", "fig,ax=plt.subplots(1)\n", "ax.plot(dat[:,0]+dat[:,1]/12.+1900,dat[:,2],label='Industrial Production')\n", "ax.plot(dat[:,0]+dat[:,1]/12.+1900,dat[:,3],label='IP Manufacturing')\n", "ax.plot(dat[:,0]+dat[:,1]/12.+1900,dat[:,6],label='IP Mining')\n", "ax.plot(dat[:,0]+dat[:,1]/12.+1900,dat[:,7],label='IP Utilities')\n", "ax.set_ylabel('Index: 100=May 1992')\n", "ax.set_xlabel('Year')\n", "ax.set_title('US industrial production indices')\n", "ax.grid()\n", "hl=ax.legend(loc=4,fontsize='small')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Astronomy**: http://smei.ucsd.edu/new_smei/data&images/stars/timeseries.html (This time series obviously needs some cleaning up)." ] }, { "cell_type": "code", "execution_count": 7, "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 = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Close figure', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.0188140759448 1.0007419531\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib nbagg\n", "\n", "x = np.random.rand(10000)\n", "y = np.random.randn(10000)\n", "\n", "fig=plt.figure(figsize=(4,6))\n", "ax=fig.add_subplot(2,1,1)\n", "ax.hist(x,50)\n", "\n", "ax.set_xlabel('Value [V]')\n", "ax.set_ylabel('Occurences')\n", "\n", "ax.set_xlim([-5.,5.])\n", "\n", "ax=fig.add_subplot(2,1,2)\n", "ax.hist(y,50)\n", "ax.set_xlabel('Value [V]')\n", "ax.set_ylabel('Occurences')\n", "ax.set_xlim([-5.,5.])\n", "\n", "print np.mean(y),np.var(y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Data **\n", "\n", "Some examples of loading data are given above. \n", "\n", "For text data, if you are lucky you can use `np.loadtxt`. If you are less lucky, you can run `np.genfromtxt` for more complicated text files. These will return numpy arrays. \n", "\n", "There are various ways to read binary data. If the file is just a flat binary array of known byte size and byte order, then you can use `np.fromfile`. For matlab files, there is another library in `scipy.io` that has a `loadmat` function. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Flow control" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Python has all the flow-control you could want. The most-used are `if`-`else` statements, and `for` loops, though `while` loops are occasionally used.\n", "\n", "Conditional statements are made with `if` keywords. Note the colon after the condition, and in particular note the indentation of the next line. " ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a is greater than b!\n" ] } ], "source": [ "a = 10\n", "b = 2\n", "c = 1\n", "if (a>b):\n", " print \"a is greater than b!\"\n", "elif (c>a):\n", " print \"c is greater than a\"\n", "else:\n", " print \"neither a is greater than b, nor c greater than a\"\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Python is *very* particular about indentation. The following code snippets die because they are not properly indented:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c is greater than a\n" ] } ], "source": [ "a = 1\n", "b = 2\n", "c = 3\n", "if a>b:\n", " print \"a is greater than b!\"\n", "elif c>a:\n", " print \"c is greater than a\"\n", "else:\n", " print \"neither a is greater than b, nor c greater than a\"\n" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "ename": "IndentationError", "evalue": "expected an indented block (, line 5)", "output_type": "error", "traceback": [ "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m5\u001b[0m\n\u001b[0;31m print \"a is greater than b!\"\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mIndentationError\u001b[0m\u001b[0;31m:\u001b[0m expected an indented block\n" ] } ], "source": [ "a = 1\n", "b = 2\n", "c = 3\n", "if a>b:\n", "print \"a is greater than b!\"\n", "elif c>a:\n", " print \"c is greater than a\"\n", "else:\n", " print \"neither a is greater than b, nor c greater than a\"\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, a \"block\" of code is delimted by an indent, and the end of the code is the end of the indent. We can of course have multiple lines in a block:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c is greater than a.\n", "its dull that c is always greater than a!\n", "ha\n", "a=20\n" ] } ], "source": [ "a=1\n", "if a>b:\n", " print \"a is greater than b!\"\n", "elif c>a:\n", " print \"c is greater than a.\"\n", " print \"its dull that c is always greater than a!\"\n", " a = 20\n", " if a\n", "3.14159265359 -1.0\n", "\n", "3.14159265359 -1.22464679915e-16\n", "\n", "3.14159265359 1.22464679915e-16\n" ] } ], "source": [ "torun = [np.cos,np.tan,np.sin]\n", "x = np.pi\n", "for todo in torun:\n", " print todo\n", " y = todo(x)\n", " print x,y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Very often we want ot iterate on a list, but we also want to have an index that increments. We can do this the manual way, which is fine:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0, 'A')\n", "(1, 'B')\n", "(2, 'C')\n", "['A', 'B', 'C']\n" ] } ], "source": [ "todo = ['A','B','C']\n", "tofill = ['','','']\n", "ind = 0\n", "for a in todo:\n", " print(ind,a)\n", " tofill[ind]=a\n", " ind = ind+1\n", "print tofill\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But it is done *so* often that python has the `enumerate` function which is a lot more compact:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0, 'A')\n", "(1, 'B')\n", "(2, 'C')\n", "['A', 'B', 'C']\n" ] } ], "source": [ "todo = ['A','B','C']\n", "tofill = ['','','']\n", "for ind,a in enumerate(todo):\n", " print(ind,a)\n", " tofill[ind]=a\n", "print tofill" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A more advanced construct that I don't do very often is to `zip` the lists. Of course they need to be the same length." ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D A\n", "E B\n", "F C\n" ] } ], "source": [ "todo = ['A','B','C']\n", "otherlist = ['D','E','F']\n", "for tf,a in zip(otherlist,todo):\n", " print tf,a\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course python has the concept of functions. These take arguments and return results. The routines above all use them. If you want to define a function, it is relatively painless:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hi there\n", "Hi there\n", "Hi there\n", "Hello\n", "Hello\n" ] }, { "ename": "TypeError", "evalue": "HelloWorld() takes at least 1 argument (0 given)", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mTypeError\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 8\u001b[0m \u001b[0mHelloWorld\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Hello'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mtimes\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0;31m# call the function with no argument\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m \u001b[0mHelloWorld\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 11\u001b[0m \u001b[0;31m# ooops, error...\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mTypeError\u001b[0m: HelloWorld() takes at least 1 argument (0 given)" ] } ], "source": [ "def HelloWorld(message,times=3):\n", " for ind in range(times):\n", " print message\n", "\n", "# call the funtion...\n", "HelloWorld('Hi there')\n", "# call the funtion with optional argument\n", "HelloWorld('Hello',times=2)\n", "# call the function with no argument\n", "HelloWorld()\n", "# ooops, error...\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, as you can see, there are non-optional arguments, (`message` in this case) and optional ones with a keyword (`times`). If the optional argument is not called, then the default value (in this case `3`) is used. Of course, this is a terrible function in that it has no doc string:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function HelloWorld in module __main__:\n", "\n", "HelloWorld(message, times=3)\n", " Prints the message a number of times\n", "\n" ] } ], "source": [ "def HelloWorld(message,times=3):\n", " \"\"\"Prints the message a number of times\"\"\"\n", " for ind in range(times):\n", " print message\n", "\n", "help(HelloWorld)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `numpy` library is very extensive, and the main workhorse for this course. Most of the data we input and deal with will be created using this library. it is a big library, and there are lots of other things you will want to do. Some will be covered in the exercises for this week." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting is another big component of this course. We saw some examples above. Here we quickly point out some of what you need to know.\n", "\n", "Plotting is via the library `matplotlib` [matplotlib.org](http://matplotlib.org). It will allow you to make most of the plots we need for this course. \n", "\n", "** An x-y plot **" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Figure(320x240)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "import numpy as np \n", "\n", "x= np.array([1.,2.,3.,4.,5.]) # volts\n", "t = np.array([0.,0.5,1.,1.5,2.]) # seconds\n", "fig=plt.figure(figsize=(4,3))\n", "# figsize is the x,y dimensions in inches.\n", "print fig\n", "ax=fig.add_subplot(1,1,1) \n", "# add_subplot(m,n,ind) makes a grid of axes that has m rows and n columns\n", "# ind indicates which of those axes to plot in.\n", "\n", "ax.plot(t,x,label='My Measurement')\n", "ax.set_xlabel('Time [s]')\n", "ax.set_ylabel('X [V]')\n", "ax.legend(loc=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** A Histogram ** Note also the use of `subplot` to make two plots in the same figure.\n", "\n", "Also note the use of `tight_layout()` to adjust the spacing on the figure. Note you can adjust the spacing by hand, but 90% of the time this is fine. " ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9TGZ80OtEJh9oFVc1zE3jqrfWVupFpp/uvV7u0iC9S8O4SzB/GkZOmSWTN/r+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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x= np.random.randn(500) # random number generator!\n", "\n", "fig=plt.figure(figsize=(4,6))\n", "ax=fig.add_subplot(2,1,1) \n", "# here there are 2x1 subplots being spaced.\n", "ax.plot(x,label='My Measurement')\n", "ax.set_xlabel('Time [s]')\n", "ax.set_ylabel('X [V]')\n", "ax.legend(loc=0)\n", "\n", "ax=fig.add_subplot(2,1,2) \n", "ax.hist(x,label='My Measurement')\n", "ax.set_xlabel('X [V]')\n", "ax.set_ylabel('Occurences')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Some error bars ** using `fill_between`" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6z8EK88SKfY7jOFMGF/vJpayIzUGs2U1V9mCpiUUegzEsiC8Z1T6MeQUexGrq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\nodjDke5rMX980Jt5U7bW77KIp4FDSU32/WSpifG6O2220pIjAq2qD6r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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x= np.cumsum(np.random.randn(500)) # random number generator!\n", "xup = x+5.\n", "xdn = x-5.\n", "\n", "t = np.arange(0.,500.,1.)\n", "\n", "#fig=plt.figure(figsize=(8,6))\n", "#ax=fig.add_subplot(1,1,1) \n", "fig,ax=plt.subplots(1,1,figsize=(8,6))\n", "# this combines the two lines above into one line.\n", "ax.fill_between(t,xdn,xup,alpha=0.4,edgecolor=None,linewidth=0,facecolor='k')\n", "ax.plot(t,x,label='My Measurement',color='k')\n", "\n", "ax.set_xlabel('Time [s]')\n", "ax.set_ylabel('X [V]')\n", "ax.legend(loc=0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Two-dimensional data plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Two-d data**: Usually we use `contour` or `pcolormesh`:" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FUsj2rvXpZS/79o3se8zF/j2GJMcyjoFkv/Q2L98eD2yTkHYtUX8Gkv3U5+1m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\nDCzi+kmRaLUs2qgnRCIRiY7BFijbq4ZphBJm3UZAJ+y42EV09BpAFo7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5/l5V4zLf2yFa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\nj8fj8Xhi4A2px+PxeDwx+H9EQR8Ch+RCqQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0.,2.*np.pi,100.)\n", "y = np.linspace(0.,2.*np.pi,100.)\n", "z = np.outer(np.cos(x),np.sin(y))\n", "\n", "fig=plt.figure(figsize=(8,12))\n", "ax=fig.add_subplot(2,1,1) \n", "#fig,axs=plt.subplots(2,1)\n", "\n", "pcm=ax.pcolormesh(x,y,z)\n", "fig.colorbar(pcm)\n", "\n", "ax.set_xlabel('x [m]')\n", "ax.set_ylabel('y [m]')\n", "ax.autoscale(tight=True)\n", "\n", "ax=fig.add_subplot(2,1,2) \n", "cnt=ax.contour(x,y,z)\n", "fig.colorbar(cnt)\n", "ax.set_xlabel('x [m]')\n", "ax.set_ylabel('y [m]')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course you can combine them!, and of course the default colormap is terrible. And that colorbar is a bit big.\n", "\n", "**NOTE** `pcolormesh` is really slow to print if we use it's default mode. It is often useful to specify `rasterized=True` as we do below." ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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R/Ov843QLYm+zvaiY2x//L4/+8YoBkzcxUi6/6XbefeUFdm3b0q/z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\nwhgqigvR3NGFFR59Z3r+3kvE8mRsTp14r0+3Ebb51BzRjM59L535VAzx5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.cm as cm\n", "\n", "fig,ax=plt.subplots(1,1,figsize=(8,6))\n", "\n", "pcm=ax.pcolormesh(x,y,z,cmap=cm.RdBu_r,rasterized=True)\n", "fig.colorbar(pcm,shrink=0.5)\n", "\n", "cnt=ax.contour(x,y,z,colors='k')\n", "\n", "ax.set_xlabel('x [m]')\n", "ax.set_ylabel('y [m]')\n", "ax.set_title('My Data [V]')\n", "ax.autoscale(tight=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see a list of the default colormaps you can have a look at [http://wiki.scipy.org/Cookbook/Matplotlib/Show_colormaps](http://wiki.scipy.org/Cookbook/Matplotlib/Show_colormaps)\n", "\n", "Finally, if we want to export our nice plots beyond the notebook, we need to run `fig.savefig()`:" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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R/Ov843QLYm+zvaiY2x//L4/+8YoBkzcxUi6/6XbefeUFdm3b0q/z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\nwhgqigvR3NGFFR59Z3r+3kvE8mRsTp14r0+3Ebb51BzRjM59L535VAzx5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.cm as cm\n", "\n", "fig,ax=plt.subplots(1,1,figsize=(8,6))\n", "\n", "pcm=ax.pcolormesh(x,y,z,cmap=cm.RdBu_r,rasterized=True)\n", "fig.colorbar(pcm,shrink=0.5)\n", "\n", "cnt=ax.contour(x,y,z,colors='k')\n", "\n", "ax.set_xlabel('x [m]')\n", "ax.set_ylabel('y [m]')\n", "ax.set_title('My Data [V]')\n", "ax.autoscale(tight=True)\n", "fig.savefig('MyPlot.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can now use that file in a document (i.e. Word or LaTeX) You can also save as pdf, jpg, etc. \n", "\n", "And this is the result of loading that file:" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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T7MZDZUX4urEOf88cjuFma9jGKqiux6aiMlw6Ifil/oraejS3tiE7dUgIZtY/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NAAAg\nAElEQVR6fpB+P1RyZ5f3ors84THaUHxcUoQahwNBlz875D1M+lY1uU2kKuBZDhmRodh1/uLl69l8\nH6B6IkOCUV5Z5VI9vi3AM96tCahUKqxYsQKTJ08Gy7KYP38+MjMzsXLlSgDAwoUL8dxzz6GiogL3\n3HMPAECtVmPfvn2Sz13Ge2QDqJMQM+aO1p5CuyM4fRQqfvsfYodf57mzBxiGQXhyN5Tnn2kwgLyl\nNVaPyipNiAzzPYw/t9SEmGADgrTS+C9tM5VjXGiEJGN1FoIVSvQ3GPFrTSWuCvVfUs+IDseHvx33\n3NENESHBKDNJF54vKT5kxc/OzkZ2drbgfwsXLmz4+/3338f777/v99RkpKddG0DXXHONxz4RERFY\ntWpVC8xGpqNhSOqH4q1vwFFVAnWI72Hg9UQkd0P5hdNI6jvMp/2fW3Q7Js26CddMm+65s0SUm6oR\nGRbi8/4nL5aie7Q0Pg82jsP+ahPuS0gBzG1v9aAtM9oYhl3V0hhA6ZGhOFtuAuvjCk5kaDDKTdV+\nzyMgyH5lnYp2bQCdOHEC77//fpO/jBmGAc/zuPfeeyU7Hq1C0KHKYohJGGQbnS1Y7CHjEgZPzMcl\nqS8dFs+Rfd2HktNttMwlkD7ovj4WQ6WhpSwFGqUsXkGPqyT+puQVau5kFmmX96VRAwol9Il9UXP+\nEMJ6TyDGcX8u6WtCXs+Q2CRUlzQvhwo9DgDo9AaYa2qa6E3ty4v8Td6zzUiKaaquQajRtQCrO3mD\n5nyZCakRjQYUHfYuFnJNh8EfqalGqlYHI6OCjaWkYRE5UayNPgOuMlfzjuEJMnydHkdDfOe6ynWg\n+pKSHJ012v3zYIAmGO+Y8+GwsVAwjEC2FbsGNBzHQa9SwqjVoLjajC6R7q+t68511zPUoIOpptZ9\nPy+K9EoNr2jXX4kyXtKur/ayZcswduxY0T5PP/10C81GpiMS1u9qaAzSZBoOT+oKa7XJ5/0NwUaY\na1r2l3NVjRkhwUE+759fUYWk0CYMKB84VFuNfgb/I5k6IxEqNUKVKpy3W9FF638gRGJIEAqqauBL\naVujXoeqWjN4nvc7Q7rkeOkDJNO+addX+8YbPUdZNadPIHjtyYdgrvX8a70pKgpycXTrOolnJOML\nurie0Md0k2SslIGjMezmv/q8f2sYQNW1tTAG+W4A5pVXITFMGgPosLlaklDuzkofXRCOWH17JtEk\nhgShwCSyiiOCVqOGUqGA1eZ7YESg4BUq0ZdMx6JdG0D17N+/H9dddx0GDhyIvn37om/fvq1ebG7T\nV2uh8FFPvnTuBM4d2CnJPEwnf0HNhcOSjCXTuugMQbCYffvS8ZUaswXBBt9XDIpMNYgz+r6CVA/H\n88ixmJGpl8aY6oz00AbhlM0syVhxxiBcrPb9Xgw26FFttnju2NIwCvGXTIeiQ5i0t9xyC1577TX0\n6dPHZ6PDXziQfiAc7DYrVBptk35CTfl3kFiqKqAPaTrSpbnh0PXHqDi+EyHpw6CifB9F/XwEZQ1o\nHxv3Vd1d+0pTsoJGzO+I8eKY4nN3X5bCG9yVMWnONo1Wq0NtlcllPpxUxQNcqnezsFgs0Dcjgstd\nVfDyGgvC9ZqG/4n5l4hRZLPBqFTCwDDgOc4lRF7Md8cl7YRom/ttsXE8Q3amfXfcj0mHuovPXdwn\nKFmjxY/VdXmtvLkOTfn2RBq0qLCIZ4OmP1Mkeq0GFosF4Iz1B2n2fAKKD1FgMu2XDmEARUdHuySf\nak1sVis0Wp3PxpilqhL6UIkiZ8ryoB02S5KxZFqXmXfc3eI+E2arDXqdzuf9y2otiDD4vn895y0W\nJGv8H6czk6zWIc9hlSSdQoRBh9wK3+VYg1YLi833chqBwts8QDLtmw5hAD3zzDOYP38+rrrqKmg0\ndZE9DMNg5syZrTIfu80GjVbr8/7WqgqEJaT6PQ+e52GvLIQmPBEiP8Zk2gmtsbpptdmh02o8d2wC\nB8vCbHcgxMf9SQqsViTJBpBfhCpVYMDAxDmhg+/PJwAI12tRbrH6vL9Op4HF2vZ8gCDXSexUdIir\nvWrVKpw8eRJOp1PwJdFaBpDT6YBa7dtDn+V42K0WKLV6sBwvKou4RotS0ojDAoZRQKnRw1HrPnxd\nDE/9uGZKTv5IXmJzcllmVzXdzx/M+UdgKTqFyKy6+4n+BU2ed0+/rstyTyIkLhlqnXeOxf7IcP7g\ncDrrfIB8OJdmmwMGjVp01crlnhWkZ2j8u8JhR5hKmseVaMZtESnNv2OSW2KSHL2nmKwlvhpIjlUv\neYUrVai0O0BWZqPlRHpb2FY3jl6phNnudAmhby5qlQrOtvirzIcVoE2bNmHx4sVgWRYLFizAkiVL\nXPrcd999+P7772EwGPDxxx9j4MCBUsxWxk86hAH022+/4cSJE20mpNIQFIz7n13u8/7dhk9ASHSC\n3/NgzVVQ6n1PYidTB2e3wJx/pMEA8oed7y3DyNsfQUz3vhLMLPA4nSxUzSw9QmNxOKHXSJMB2uR0\nIkXp/0pSZydEoUIV5/Tc0QN6lQpWh+/jqJSKNmkAeRvpxbIsFi1ahC1btiAxMRFDhgzB9OnTkZmZ\n2dBn48aNOH36NHJycrB3717cc8892LNnj9RTl/GBDiF4jhw5EseOHWvtaTSgNxgwLtt3n6QuWWMR\nmdrd73kodcGIG3en3+N0dpQ6I1irNOHnKo0ODlsbjH5xg8MPA8hsd0CvluY3VpXTiRAf5yHTSKhC\nCZMEhoderYTZ6Y8BpITT2fYMICiU4i+Kffv2IT09HWlpaVCr1ZgzZw7Wr18v6LNhwwbMmzcPADBs\n2DBUVlaiuLi4Rd6OjDgdYgXo119/xYABA9ClSxdoL/veMAyDw4c7d/i3UheM0B6jW3sa7R5GpQFP\nFH31B4VKJRod0+bgeZ99jziOh0opzW8sB8dBIzuo+o2GUcAhQcSVSqHwq0CvUqEA1waLoXorgRUU\nFCA5OblhOykpCXv37vXYJz8/H7GxsZBpXTqEAbRp06bWnoKMTMDZvXkjtq7/H9748NPWnoqMTIfE\nWwmsuW4XtG9gW3HX6Ox0CAMoLS2ttacgIyMjI9PO4SnDZMeOHdixY4fb/omJicjLy2vYzsvLQ1JS\nkmif/Px8JCYmSjRjGX9o12vKgwYNkqSPjIwY6rA4xI5bIMlY4YldofGxnAPHcy3/y5FhfJYqGIbx\nuWI4jZJh4GylSLiOhBM8FBLcQ6yfdby4tlgHDGiIvK1/jRo9Bo89/kTDiyYrKws5OTnIzc2F3W7H\n2rVrXXLSTZ8+HatXrwYA7NmzB2FhYbL81UZo1ytAx48fR9++4tE0JpP74pNWqxVjx46FzWaD3W7H\njBkz8NJLL/k9L1NFBd58+QXc97T3YykVDE78/B0ikrsipmsmlAr3DwlarmZE+iqoNrrCuvtjiPdT\nEO081VdsX39C1MlxGRHH2Oa+R08oNQYYkvo0jsvQ55Jx20Yz4va/+TQHBcOAZ1moJHIqbi4qlbLO\niPHhXOo1niOF6HuWvE/JthC1CtUSpTUgK7M7KKOKzrxMbvsTEk+Oo6TuEXKbbnMdp/lGA3lM5rIv\nVjXHIlQtjMxjqDdNbwvb6saxcRwMahUUPvp4OVkWKonSGkiJt5dYpVJhxYoVmDx5MliWxfz585GZ\nmYmVK1cCABYuXIipU6di48aNSE9PR1BQED766CPpJy7jE23vDvSC48ePe+wj9iHT6XTYtm0bDAYD\nnE4nRo8ejV27dmH0aP8ch+12G7ZtXO+TAQQA5//YDdbpQEzXTM+dReCcdhT99B4SJt3r1zgybQOn\n0wllCydqUymVcPgY7aNXq2Cx+x9yDQAhKjWqJBqrM2PinAiVoKinxeH0K8KvLrqw7QkQvjh2Z2dn\nIzs7W/C/hQsXCrZXrFjh17xkAkO7NoCk8P0xGOoS0tntdrAsi4iIpmtweYNKpYbT4XvUkFqnlyRU\nmlGqUPHnZsRd+Re/x5JpfTiWbSUDyLeVF4NWDbPdAV4CuSNUpUKRpf2kD2irmFhp0gmYHU7oVb6P\n43SyUPmxf6DwI7BNph3Srg0gKeA4DoMGDcKZM2dwzz33oFevXj6NoyCysup1OthtNrdaOy1H0eiC\nQ2Gtblq6E5PEXI+hhDo0Bs6qIkAfJ2gXyEiUvEHKWpySlrUU1LZ7OYrhpHnA0fMjtxUibWL7ufR1\neZ+N59kfnwnyetHXztM2zcTrbsSEGde7zEfhISNws6HD3RVK6PU6VNd6riBO3hf1f+s0GqiVClic\nHIIuF1RlfPzVn6DT4ffyyoaxaZlGSS0OiUtOvEib2Dj0rJr/bSmUuZp/DPpsib8v98cEADPHwsxx\niFCqvboO9GceAExWO8L04uU0xORpq90OnU7XKK22kRQHUmX+lmkftI27rhVRKBT4448/kJ+fjx07\ndmD79u1+j6nV6WG3+V50UBcSDktVhd/zAABdZDJsZXmeO8q0C1q6Hpheq4XV6nvRyoggPcrNvteM\nqidVp0ee3f9xOjP5DhsS1VpJnKDLzFaE632vzWax2mHwo8huoOB5XvQl07HoECtAb775JubOnYvw\ncN8rqIeGhuLqq6/Gb7/9hnHjxgnali1bBgCwccCo0WMwaswVomMplUqo1GrY7TZotd5/yPUhYSg6\nJU0SR21kEqxledAmDZFkvM7Iha+fR+KUB6DUBfs1jtNmRdmFHMS2kzIYAKDX+Ve1OyLYgAqLFcnh\nvkW+1ZOo0+GSww47x0HTCkVhOwL5diuS1f4VQa2nwmJFpMH3sSw2G/TNLJL7867d2LFrt8/H8gZ5\nBahz0SEMoOLiYgwZMgSDBg3CnXfeicmTJzfL56C0tBQqlQphYWGwWCzYvHkznnnmGZd+Tz75JACg\n2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H/fCFV7lvM2Q6z5m5ZJrkkq5QU58Apsx2nXUDKXxVbjzndQrn27jc70qv4wsyyLzO+f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\nCIIgiJDj/wEFVahvpB/aEQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(filename='MyPlot.png')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }