{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Python for Signal Processing\n",
"Danilo Greco, PhD - danilo.greco@uniparthenope.it - University of Naples Parthenope"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lecture 5\n",
"This lecture will provide an overview on Matplotlib and Seaborn graphical libraries:\n",
"\n",
"1. installation, \n",
"2. documentation, \n",
"3. main functions and applications,\n",
"4. practical examples."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### What is Matplotlib?\n",
"[Matplotlib](https://matplotlib.org/) is a comprehensive library for creating static, animated, and interactive visualizations in Python.\n",
"\n",
"It simplifies creation and customization of data plots:\n",
"\n",
"* creation of high quality plots with few lines of code\n",
"* interactive figures with pan, zoom, etc.\n",
"* full control over styles and colors\n",
"* easy export in multiple file formats\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### What is Seaborn?\n",
"[Seaborn](https://seaborn.pydata.org/) is a fundamental library for statistical data visualization in Python.\n",
"\n",
"It is based on matplotlib and provides a high-level interface for drawing attractive and informative statistical graphics:\n",
"\n",
"* operate on dataframes and arrays containing whole datasets,\n",
"* internally perform the necessary semantic mapping and statistical aggregation to produce informative plots,\n",
"* supports data exploration and interpretation\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Install\n",
"It can be installed by executing the following command:\n",
"\n",
">pip install matplotlib (or seaborn) \n",
"\n",
"or \n",
"\n",
">python -m pip install matplotlib (or seaborn)\n",
"\n",
"#### NOTES: \n",
"* when installing with python version 3.x, replace pip or python with pip3 or python3 in the commands above.\n",
"* seaborn requires Python3.6 or greater and implicitly downloads and installs numpy, scipy, pandas and matplotlib if not already present\n",
"\n",
"# Documentation\n",
"The official Matplotlib documentation is available on this [website](https://matplotlib.org/users/index.html) whilst for Seaborn you can access documentation at this [website](https://seaborn.pydata.org/api.html).\n",
"\n",
"Beginner's tutorials can be found for [matplotlib](https://matplotlib.org/tutorials/index.html) and [seaborn](https://seaborn.pydata.org/tutorial.html).\n",
"\n",
"There is also an interesting book explaining how to use pandas for data analysis:\n",
">Wes McKinney, Python for Data Analysis: Data Wrangling with Pandas, NumPy, and IPython, O'Reilly Media.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Main functions and applications\n",
"The first thing to do is inform the python interpreter that we are using the packages. In each section, the first command asks the python interpreter to import the library and use an alias for quicker references within our code.\n",
"\n",
"Again, numpy is imported for data generation.\n",
"\n",
"## Matplotlib"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\GRCDNL71D14D969B\\Anaconda3\\lib\\site-packages\\numpy\\_distributor_init.py:30: UserWarning: loaded more than 1 DLL from .libs:\n",
"C:\\Users\\GRCDNL71D14D969B\\Anaconda3\\lib\\site-packages\\numpy\\.libs\\libopenblas.FB5AE2TYXYH2IJRDKGDGQ3XBKLKTF43H.gfortran-win_amd64.dll\n",
"C:\\Users\\GRCDNL71D14D969B\\Anaconda3\\lib\\site-packages\\numpy\\.libs\\libopenblas.XWYDX2IKJW2NMTWSFYNGFUWKQU3LYTCZ.gfortran-win_amd64.dll\n",
" warnings.warn(\"loaded more than 1 DLL from .libs:\"\n"
]
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A first method to create a plot in matplotlib is:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0,3,30)\n",
"y = np.random.random(30)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(x, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we can see the detailed structure of a Matplotlib figure with its attribute names that can be customized:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![anatomy](anatomy.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some notes on these objects:\n",
"* **figure**: contains any number of axes and a canvas where object are plotted\n",
"* **Axes**: its the region of figure that contains a data plot, therefore a figure can contain many axes. Each Axes has a title, its limits and can have labels for x and y respectively (or z for 3D plots).\n",
"* **Axis**: linear graphical objects that contain ticks, located by the *Locator* object, and ticklabels customized via a *Formatter*. \n",
"\n",
"Be aware of the difference between *Axes* and *Axis*.\n",
"\n",
"All plotting functions expect numpy.array objects as input therefore it's always better to convert our data before plotting, such as in the case of Pandas DataFrames.\n",
"\n",
"A more complex plot example:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# OO-style: preferred for use in functions\n",
"x = np.linspace(0, 2, 100)\n",
"\n",
"fig, ax = plt.subplots(figsize=(8,6)) # Create a figure and an axes.\n",
"ax.plot(x, x, label='linear') # Plot some data on the axes.\n",
"ax.plot(x, x**2, label='quadratic') # Other plots are added to \n",
"ax.plot(x, x**3, label='cubic') # the same figure\n",
"ax.set_xlabel('x') # Add an x-label to the axes.\n",
"ax.set_ylabel('y = f(x)') # Add a y-label to the axes.\n",
"ax.set_title(\"OO-style Plot\") # Add a title to the axes.\n",
"ax.legend() # Add a legend."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"or alternatively:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# pyplot-style: preferred for interactive plots\n",
"x = np.linspace(0, 2, 100)\n",
"\n",
"plt.figure(figsize=(8,6))\n",
"plt.plot(x, x, label='linear') # Plot some data on the (implicit) axes.\n",
"plt.plot(x, x**2, label='quadratic') # etc.\n",
"plt.plot(x, x**3, label='cubic')\n",
"plt.xlabel('x')\n",
"plt.ylabel('y = f(x)')\n",
"plt.title(\"pyplot-style Plot\")\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also use subplots to draw on different parts of the same figure and annotate the plots with $\\LaTeX$:"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"/* global mpl */\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(\n",
" '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",
"\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 = document.createElement('div');\n",
" this.root.setAttribute('style', 'display: inline-block');\n",
" this._root_extra_style(this.root);\n",
"\n",
" parent_element.appendChild(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",
" if (fig.ratio !== 1) {\n",
" fig.send_message('set_device_pixel_ratio', {\n",
" device_pixel_ratio: fig.ratio,\n",
" });\n",
" }\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",
" };\n",
"\n",
" this.imageObj.onunload = function () {\n",
" fig.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 = document.createElement('div');\n",
" titlebar.classList =\n",
" 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
" var titletext = document.createElement('div');\n",
" titletext.classList = 'ui-dialog-title';\n",
" titletext.setAttribute(\n",
" 'style',\n",
" 'width: 100%; text-align: center; padding: 3px;'\n",
" );\n",
" titlebar.appendChild(titletext);\n",
" this.root.appendChild(titlebar);\n",
" this.header = titletext;\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
"\n",
"mpl.figure.prototype._init_canvas = function () {\n",
" var fig = this;\n",
"\n",
" var canvas_div = (this.canvas_div = document.createElement('div'));\n",
" canvas_div.setAttribute(\n",
" 'style',\n",
" 'border: 1px solid #ddd;' +\n",
" 'box-sizing: content-box;' +\n",
" 'clear: both;' +\n",
" 'min-height: 1px;' +\n",
" 'min-width: 1px;' +\n",
" 'outline: 0;' +\n",
" 'overflow: hidden;' +\n",
" 'position: relative;' +\n",
" 'resize: both;'\n",
" );\n",
"\n",
" function on_keyboard_event_closure(name) {\n",
" return function (event) {\n",
" return fig.key_event(event, name);\n",
" };\n",
" }\n",
"\n",
" canvas_div.addEventListener(\n",
" 'keydown',\n",
" on_keyboard_event_closure('key_press')\n",
" );\n",
" canvas_div.addEventListener(\n",
" 'keyup',\n",
" on_keyboard_event_closure('key_release')\n",
" );\n",
"\n",
" this._canvas_extra_style(canvas_div);\n",
" this.root.appendChild(canvas_div);\n",
"\n",
" var canvas = (this.canvas = document.createElement('canvas'));\n",
" canvas.classList.add('mpl-canvas');\n",
" canvas.setAttribute('style', 'box-sizing: content-box;');\n",
"\n",
" this.context = canvas.getContext('2d');\n",
"\n",
" var backingStore =\n",
" this.context.backingStorePixelRatio ||\n",
" this.context.webkitBackingStorePixelRatio ||\n",
" this.context.mozBackingStorePixelRatio ||\n",
" this.context.msBackingStorePixelRatio ||\n",
" this.context.oBackingStorePixelRatio ||\n",
" this.context.backingStorePixelRatio ||\n",
" 1;\n",
"\n",
" this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
" 'canvas'\n",
" ));\n",
" rubberband_canvas.setAttribute(\n",
" 'style',\n",
" 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
" );\n",
"\n",
" // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
" if (this.ResizeObserver === undefined) {\n",
" if (window.ResizeObserver !== undefined) {\n",
" this.ResizeObserver = window.ResizeObserver;\n",
" } else {\n",
" var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
" this.ResizeObserver = obs.ResizeObserver;\n",
" }\n",
" }\n",
"\n",
" this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
" var nentries = entries.length;\n",
" for (var i = 0; i < nentries; i++) {\n",
" var entry = entries[i];\n",
" var width, height;\n",
" if (entry.contentBoxSize) {\n",
" if (entry.contentBoxSize instanceof Array) {\n",
" // Chrome 84 implements new version of spec.\n",
" width = entry.contentBoxSize[0].inlineSize;\n",
" height = entry.contentBoxSize[0].blockSize;\n",
" } else {\n",
" // Firefox implements old version of spec.\n",
" width = entry.contentBoxSize.inlineSize;\n",
" height = entry.contentBoxSize.blockSize;\n",
" }\n",
" } else {\n",
" // Chrome <84 implements even older version of spec.\n",
" width = entry.contentRect.width;\n",
" height = entry.contentRect.height;\n",
" }\n",
"\n",
" // Keep the size of the canvas and rubber band canvas in sync with\n",
" // the canvas container.\n",
" if (entry.devicePixelContentBoxSize) {\n",
" // Chrome 84 implements new version of spec.\n",
" canvas.setAttribute(\n",
" 'width',\n",
" entry.devicePixelContentBoxSize[0].inlineSize\n",
" );\n",
" canvas.setAttribute(\n",
" 'height',\n",
" entry.devicePixelContentBoxSize[0].blockSize\n",
" );\n",
" } else {\n",
" canvas.setAttribute('width', width * fig.ratio);\n",
" canvas.setAttribute('height', height * fig.ratio);\n",
" }\n",
" canvas.setAttribute(\n",
" 'style',\n",
" 'width: ' + width + 'px; height: ' + height + 'px;'\n",
" );\n",
"\n",
" rubberband_canvas.setAttribute('width', width);\n",
" rubberband_canvas.setAttribute('height', height);\n",
"\n",
" // And update the size in Python. We ignore the initial 0/0 size\n",
" // that occurs as the element is placed into the DOM, which should\n",
" // otherwise not happen due to the minimum size styling.\n",
" if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
" fig.request_resize(width, height);\n",
" }\n",
" }\n",
" });\n",
" this.resizeObserverInstance.observe(canvas_div);\n",
"\n",
" function on_mouse_event_closure(name) {\n",
" return function (event) {\n",
" return fig.mouse_event(event, name);\n",
" };\n",
" }\n",
"\n",
" rubberband_canvas.addEventListener(\n",
" 'mousedown',\n",
" on_mouse_event_closure('button_press')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseup',\n",
" on_mouse_event_closure('button_release')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'dblclick',\n",
" on_mouse_event_closure('dblclick')\n",
" );\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband_canvas.addEventListener(\n",
" 'mousemove',\n",
" on_mouse_event_closure('motion_notify')\n",
" );\n",
"\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseenter',\n",
" on_mouse_event_closure('figure_enter')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseleave',\n",
" on_mouse_event_closure('figure_leave')\n",
" );\n",
"\n",
" canvas_div.addEventListener('wheel', function (event) {\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" on_mouse_event_closure('scroll')(event);\n",
" });\n",
"\n",
" canvas_div.appendChild(canvas);\n",
" canvas_div.appendChild(rubberband_canvas);\n",
"\n",
" this.rubberband_context = rubberband_canvas.getContext('2d');\n",
" this.rubberband_context.strokeStyle = '#000000';\n",
"\n",
" this._resize_canvas = function (width, height, forward) {\n",
" if (forward) {\n",
" canvas_div.style.width = width + 'px';\n",
" canvas_div.style.height = height + 'px';\n",
" }\n",
" };\n",
"\n",
" // Disable right mouse context menu.\n",
" this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
" event.preventDefault();\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 toolbar = document.createElement('div');\n",
" toolbar.classList = 'mpl-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'mpl-button-group';\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",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'mpl-button-group';\n",
" continue;\n",
" }\n",
"\n",
" var button = (fig.buttons[name] = document.createElement('button'));\n",
" button.classList = 'mpl-widget';\n",
" button.setAttribute('role', 'button');\n",
" button.setAttribute('aria-disabled', 'false');\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
"\n",
" var icon_img = document.createElement('img');\n",
" icon_img.src = '_images/' + image + '.png';\n",
" icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
" icon_img.alt = tooltip;\n",
" button.appendChild(icon_img);\n",
"\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" var fmt_picker = document.createElement('select');\n",
" fmt_picker.classList = 'mpl-widget';\n",
" toolbar.appendChild(fmt_picker);\n",
" this.format_dropdown = fmt_picker;\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = document.createElement('option');\n",
" option.selected = fmt === mpl.default_extension;\n",
" option.innerHTML = fmt;\n",
" fmt_picker.appendChild(option);\n",
" }\n",
"\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"};\n",
"\n",
"mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
"};\n",
"\n",
"mpl.figure.prototype.send_message = function (type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"};\n",
"\n",
"mpl.figure.prototype.send_draw_message = function () {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1], msg['forward']);\n",
" fig.send_message('refresh', {});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
" var x0 = msg['x0'] / fig.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
" var x1 = msg['x1'] / fig.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0,\n",
" 0,\n",
" fig.canvas.width / fig.ratio,\n",
" fig.canvas.height / fig.ratio\n",
" );\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
" fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_message = function (fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
" for (var key in msg) {\n",
" if (!(key in fig.buttons)) {\n",
" continue;\n",
" }\n",
" fig.buttons[key].disabled = !msg[key];\n",
" fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
" if (msg['mode'] === 'PAN') {\n",
" fig.buttons['Pan'].classList.add('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" } else if (msg['mode'] === 'ZOOM') {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.add('active');\n",
" } else {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message('ack', {});\n",
"};\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function (fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" var img = evt.data;\n",
" if (img.type !== 'image/png') {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" img.type = 'image/png';\n",
" }\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src\n",
" );\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" img\n",
" );\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" } else if (\n",
" typeof evt.data === 'string' &&\n",
" evt.data.slice(0, 21) === 'data:image/png;base64'\n",
" ) {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig['handle_' + msg_type];\n",
" } catch (e) {\n",
" console.log(\n",
" \"No handler for the '\" + msg_type + \"' message type: \",\n",
" msg\n",
" );\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\n",
" \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
" e,\n",
" e.stack,\n",
" msg\n",
" );\n",
" }\n",
" }\n",
" };\n",
"};\n",
"\n",
"// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function (e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e) {\n",
" e = window.event;\n",
" }\n",
" if (e.target) {\n",
" targ = e.target;\n",
" } else if (e.srcElement) {\n",
" targ = e.srcElement;\n",
" }\n",
" if (targ.nodeType === 3) {\n",
" // defeat Safari bug\n",
" targ = targ.parentNode;\n",
" }\n",
"\n",
" // pageX,Y are the mouse positions relative to the document\n",
" var boundingRect = targ.getBoundingClientRect();\n",
" var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
" var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
"\n",
" return { x: x, y: y };\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * https://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys(original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object') {\n",
" obj[key] = original[key];\n",
" }\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function (event, name) {\n",
" var canvas_pos = mpl.findpos(event);\n",
"\n",
" if (name === 'button_press') {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * this.ratio;\n",
" var y = canvas_pos.y * this.ratio;\n",
"\n",
" this.send_message(name, {\n",
" x: x,\n",
" y: y,\n",
" button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event),\n",
" });\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"};\n",
"\n",
"mpl.figure.prototype.key_event = function (event, name) {\n",
" // Prevent repeat events\n",
" if (name === 'key_press') {\n",
" if (event.key === this._key) {\n",
" return;\n",
" } else {\n",
" this._key = event.key;\n",
" }\n",
" }\n",
" if (name === 'key_release') {\n",
" this._key = null;\n",
" }\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.key !== 'Control') {\n",
" value += 'ctrl+';\n",
" }\n",
" else if (event.altKey && event.key !== 'Alt') {\n",
" value += 'alt+';\n",
" }\n",
" else if (event.shiftKey && event.key !== 'Shift') {\n",
" value += 'shift+';\n",
" }\n",
"\n",
" value += 'k' + event.key;\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
" if (name === 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message('toolbar_button', { name: name });\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"\n",
"///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
"// prettier-ignore\n",
"var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";/* global mpl */\n",
"\n",
"var comm_websocket_adapter = function (comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.binaryType = comm.kernel.ws.binaryType;\n",
" ws.readyState = comm.kernel.ws.readyState;\n",
" function updateReadyState(_event) {\n",
" if (comm.kernel.ws) {\n",
" ws.readyState = comm.kernel.ws.readyState;\n",
" } else {\n",
" ws.readyState = 3; // Closed state.\n",
" }\n",
" }\n",
" comm.kernel.ws.addEventListener('open', updateReadyState);\n",
" comm.kernel.ws.addEventListener('close', updateReadyState);\n",
" comm.kernel.ws.addEventListener('error', updateReadyState);\n",
"\n",
" ws.close = function () {\n",
" comm.close();\n",
" };\n",
" ws.send = function (m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function (msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" var data = msg['content']['data'];\n",
" if (data['blob'] !== undefined) {\n",
" data = {\n",
" data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
" };\n",
" }\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(data);\n",
" });\n",
" return ws;\n",
"};\n",
"\n",
"mpl.mpl_figure_comm = function (comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = document.getElementById(id);\n",
" var ws_proxy = comm_websocket_adapter(comm);\n",
"\n",
" function ondownload(figure, _format) {\n",
" window.open(figure.canvas.toDataURL());\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element;\n",
" fig.cell_info = mpl.find_output_cell(\"\");\n",
" if (!fig.cell_info) {\n",
" console.error('Failed to find cell for figure', id, fig);\n",
" return;\n",
" }\n",
" fig.cell_info[0].output_area.element.on(\n",
" 'cleared',\n",
" { fig: fig },\n",
" fig._remove_fig_handler\n",
" );\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function (fig, msg) {\n",
" var width = fig.canvas.width / fig.ratio;\n",
" fig.cell_info[0].output_area.element.off(\n",
" 'cleared',\n",
" fig._remove_fig_handler\n",
" );\n",
" fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable();\n",
" fig.parent_element.innerHTML =\n",
" '';\n",
" fig.close_ws(fig, msg);\n",
"};\n",
"\n",
"mpl.figure.prototype.close_ws = function (fig, msg) {\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"};\n",
"\n",
"mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width / this.ratio;\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] =\n",
" '';\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message('ack', {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () {\n",
" fig.push_to_output();\n",
" }, 1000);\n",
"};\n",
"\n",
"mpl.figure.prototype._init_toolbar = function () {\n",
" var fig = this;\n",
"\n",
" var toolbar = document.createElement('div');\n",
" toolbar.classList = 'btn-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" var button;\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",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" continue;\n",
" }\n",
"\n",
" button = fig.buttons[name] = document.createElement('button');\n",
" button.classList = 'btn btn-default';\n",
" button.href = '#';\n",
" button.title = name;\n",
" button.innerHTML = '';\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message pull-right';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = document.createElement('div');\n",
" buttongrp.classList = 'btn-group inline pull-right';\n",
" button = document.createElement('button');\n",
" button.classList = 'btn btn-mini btn-primary';\n",
" button.href = '#';\n",
" button.title = 'Stop Interaction';\n",
" button.innerHTML = '';\n",
" button.addEventListener('click', function (_evt) {\n",
" fig.handle_close(fig, {});\n",
" });\n",
" button.addEventListener(\n",
" 'mouseover',\n",
" on_mouseover_closure('Stop Interaction')\n",
" );\n",
" buttongrp.appendChild(button);\n",
" var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
" titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
"};\n",
"\n",
"mpl.figure.prototype._remove_fig_handler = function (event) {\n",
" var fig = event.data.fig;\n",
" if (event.target !== this) {\n",
" // Ignore bubbled events from children.\n",
" return;\n",
" }\n",
" fig.close_ws(fig, {});\n",
"};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (el) {\n",
" el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (el) {\n",
" // this is important to make the div 'focusable\n",
" el.setAttribute('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",
" } else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which === 13) {\n",
" this.canvas_div.blur();\n",
" // select the cell after this one\n",
" var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
" IPython.notebook.select(index + 1);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" fig.ondownload(fig, null);\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 < ncells; i++) {\n",
" var cell = cells[i];\n",
" if (cell.cell_type === 'code') {\n",
" for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
" var data = cell.output_area.outputs[j];\n",
" if (data.data) {\n",
" // IPython >= 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(\n",
" 'matplotlib',\n",
" mpl.mpl_figure_comm\n",
" );\n",
"}\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '$y = e^{-x \\\\cdot sin(x)}$')"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = np.linspace(0, 2, 100)\n",
"\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,3)) \n",
"ax1.plot(x, x, label='linear') \n",
"ax2.plot(x, x**2, label='quadratic') \n",
"ax3.plot(x, np.exp(-x*np.sin(x)), label='exponential') \n",
"ax1.set_xlabel('x') \n",
"ax1.set_ylabel('y', rotation=0) \n",
"ax1.set_title('$y = x$') \n",
"ax2.set_xlabel('x') \n",
"ax2.set_ylabel('y', rotation=0) \n",
"ax2.set_title('$y = x^2$') \n",
"ax3.set_xlabel('x') \n",
"ax3.set_ylabel('y', rotation=0) \n",
"ax3.set_title('$y = e^{-x \\cdot sin(x)}$') "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Colors and marker shapes can be customized by specifying additional attributes:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = np.arange(0., 5., 0.2)\n",
"\n",
"# red dashes, blue squares and green triangles\n",
"plt.plot(t, t, 'ro-', t, t**2, 'bs-', t, t**3, 'g^', t, 100*np.exp(-t), 'k--')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Many additional properties for 2D lines can be set for the plots by the setp function, whose reference can be found [here](https://matplotlib.org/api/_as_gen/matplotlib.lines.Line2D.html#matplotlib.lines.Line2D).\n",
"\n",
"An example of the setp usage is reported in the following cell:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[None, None, None, None]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ln = plt.plot(t, t**3, t, t**2)\n",
"plt.setp(ln,color='r', linewidth=2.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The list of properties available for the object can also be displayed by calling the setp function on the object:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" agg_filter: a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array\n",
" alpha: scalar or None\n",
" animated: bool\n",
" antialiased or aa: bool\n",
" clip_box: `.Bbox`\n",
" clip_on: bool\n",
" clip_path: Patch or (Path, Transform) or None\n",
" color or c: color\n",
" dash_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
" dash_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
" dashes: sequence of floats (on/off ink in points) or (None, None)\n",
" data: (2, N) array or two 1D arrays\n",
" drawstyle or ds: {'default', 'steps', 'steps-pre', 'steps-mid', 'steps-post'}, default: 'default'\n",
" figure: `.Figure`\n",
" fillstyle: {'full', 'left', 'right', 'bottom', 'top', 'none'}\n",
" gid: str\n",
" in_layout: bool\n",
" label: object\n",
" linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n",
" linewidth or lw: float\n",
" marker: marker style string, `~.path.Path` or `~.markers.MarkerStyle`\n",
" markeredgecolor or mec: color\n",
" markeredgewidth or mew: float\n",
" markerfacecolor or mfc: color\n",
" markerfacecoloralt or mfcalt: color\n",
" markersize or ms: float\n",
" markevery: None or int or (int, int) or slice or list[int] or float or (float, float) or list[bool]\n",
" path_effects: `.AbstractPathEffect`\n",
" picker: float or callable[[Artist, Event], tuple[bool, dict]]\n",
" pickradius: float\n",
" rasterized: bool\n",
" sketch_params: (scale: float, length: float, randomness: float)\n",
" snap: bool or None\n",
" solid_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
" solid_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
" transform: `.Transform`\n",
" url: str\n",
" visible: bool\n",
" xdata: 1D array\n",
" ydata: 1D array\n",
" zorder: float\n"
]
}
],
"source": [
"plt.setp(ln)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Column names can also be used when data is stored in a Pandas dataframe, such as in the following example where bubble color and size are related to proper data columns. A scatter plot is drawn, with parameter **c** assigned to specify the color of markers and **s** for their size:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data = {'a': np.arange(50),\n",
" 'c': np.random.randint(0, 50, 50),\n",
" 'd': np.random.randn(50)}\n",
"data['b'] = data['a'] + 5 * np.random.randn(50)\n",
"data['d'] = np.abs(data['d']) * 100\n",
"\n",
"plt.scatter('a', 'b', c='c', s='d', data=data)\n",
"plt.xlabel('x values')\n",
"plt.ylabel('y values')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Quite often we need to compare different plots either horizontally or vertically: this is easily done with the help of subplots. \n",
"\n",
"The subplot function requires us pass an integer coded value that declares the number of rows and columns we want to use and the position of current subplot. In the examples belows we first plot a vertical stack of subplots and then a horizontal span:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,3))\n",
"plt.subplot(121)\n",
"plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(t2, g(t2), 'r-', t1, g(t1), 'ro')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Further text can be inserted in a figure through the plt.text command as shown in the example below, where a desired font size and color are assigned.\n",
"\n",
"Figures can also be annotated everywhere in the canvas with the plt.annotate command that allows to add an arrow pointer to indicate special parts of the picture."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n",
"plt.text(1,0.8,r'$y = e^{-t} \\cdot cos(2 \\pi t)$',fontsize=16, color='red')\n",
"plt.title('Another sample function plot')\n",
"plt.annotate('this is a local maximum', xy=(1, 0.4), xytext=(1.6,0.6),arrowprops=dict(arrowstyle='->',linewidth=1.2))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Axes can be set to different scales to display linear or logarithmic plots by calling set_scale for the relevant object:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = [pow(10, i/10.0) for i in range(100)]\n",
"\n",
"fig, (ax1,ax2) = plt.subplots(1,2,figsize=(15,3)) \n",
"ax1.plot(a, color='blue', lw=2)\n",
"ax1.set_yscale('linear')\n",
"ax2.plot(a, color='red', lw=2)\n",
"ax2.set_yscale('log')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another important representation is based on **scatter plots**, that are very useful to show how much a variable is affected by another. Additional feature variables can be represented by properly coding marker shape, color and size of markers in the scatter plot. \n",
"\n",
"The first example shows all possible markers that can be usedin the plots:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.RandomState(0)\n",
"for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n",
" plt.plot(rng.rand(5), rng.rand(5), marker,\n",
" label=\"marker='{0}'\".format(marker))\n",
"plt.legend(numpoints=1)\n",
"plt.xlim(0, 1.8);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following example shows how to associate colors and sizes to display additional numerical features related to x and y variables."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.RandomState(0)\n",
"x = rng.randn(100)\n",
"y = rng.randn(100)\n",
"colors = rng.rand(100)\n",
"sizes = 1000 * rng.rand(100)\n",
"\n",
"plt.scatter(x, y, c=colors, s=sizes, alpha=0.5, cmap='viridis')\n",
"plt.colorbar(); "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bi-dimensional arrays can be plot in different ways: we've already seen how to plot as images but we can also treat them as meshes. The following example shows how to plot using pcolormesh:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
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