{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# recursive quicksort\n", "\n", "sort an array by choosing a point in the array, called the pivot point, then creating two smaller arrays:\n", "Keep in mind an array of size one is already sorted, so no need to sort that.\n", "\n", "- choose a point, called the pivot point\n", "- make an array containing everything smaller or equal to the pivot\n", "- second array containing everything bigger than the pivot\n", "- so the answer is just quicksort(smaller_array) + pivot + quicksort(bigger_array)\n", "\n", "first to generate some random data:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[91, 18, 30, 16, 41, 69, 44, 95, 34, 30]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import random\n", "import numpy as np\n", "random_data = [random.randint(0,100) for i in range(10)]\n", "random_data[:10]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[16, 18, 30, 30, 34, 41, 44, 69, 91, 95]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def quicksort(data):\n", " if len(data) < 2:\n", " return data\n", " else: \n", " pivot = data[0]\n", " less = [i for i in data[1:] if i <= pivot]\n", " more = [i for i in data[1:] if i > pivot]\n", " return quicksort(less) + [pivot] + quicksort(more)\n", "\n", "quicksort(random_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# using a random pivot\n", "\n", "Quicksort works faster when using a random pivot" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[16, 18, 30, 30, 34, 41, 44, 69, 91, 95]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def quicksort2(data):\n", " import random\n", " if len(data) < 2:\n", " return data\n", " else:\n", " p_idx = random.randrange(0,len(data)-1)\n", " pivot = data[p_idx]\n", " \n", " less = [i for i in data[:p_idx] if i <= pivot] + [i for i in data[p_idx+1:] if i <= pivot]\n", " more = [i for i in data[:p_idx] if i > pivot] + [i for i in data[p_idx+1:] if i > pivot]\n", " return quicksort2(less) + [pivot] + quicksort2(more)\n", "\n", "quicksort2(random_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## some tests to make sure the algos are working correctly" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "assert len(random_data) == len(quicksort(random_data))\n", "assert quicksort(random_data) == quicksort2(random_data) == sorted(random_data)\n", "\n", "a = [i for i in range(10)]\n", "random.shuffle(a)\n", "assert [i for i in range(10)] == quicksort(a) == quicksort2(a)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "13.3 µs ± 834 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n" ] } ], "source": [ "%timeit(quicksort(random_data))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "38.9 µs ± 1.67 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%timeit(quicksort2(random_data))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## visualizing quicksort\n", "\n", "there are many better visuals on the web, heres my stab:\n", "\n", "I modified the quicksort function above so it only does one sort step and returns the list:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from IPython import display" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[18, 30, 16, 34, 30, 41, 91, 69, 44, 95]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def quicksort_onestep(data):\n", " import random\n", " if len(data) < 2:\n", " return data\n", " else:\n", " p_idx = random.randrange(0,len(data)-1)\n", " pivot = data[p_idx]\n", " \n", " less = [i for i in data[:p_idx] if i <= pivot] + [i for i in data[p_idx+1:] if i <= pivot]\n", " more = [i for i in data[:p_idx] if i > pivot] + [i for i in data[p_idx+1:] if i > pivot]\n", " return less + [pivot] + more\n", "\n", "quicksort_onestep(random_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here I add the list after each sort step to an array qs_steps." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "it took 235 steps to sort 100 items\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAFJCAYAAABKLF7JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def compare_lists(a, b):\n", " \"returns True if two lists contain the same element at each index, false otherwise\"\n", " assert len(a) == len(b)\n", " for pair in zip(a, b):\n", " if pair[0] != pair[1]:\n", " return False\n", " return True\n", "\n", "random_data = [random.randint(0,100) for i in range(100)]\n", "sorted_data = quicksort2(random_data)\n", "plt.plot(random_data, label=\"initial data\", lw=1.5, ls=\"dashed\")\n", "\n", "qs_steps = []\n", "\n", "# first quicksort step\n", "d = quicksort_onestep(random_data)\n", "qs_steps.append(d)\n", "plt.plot(d, alpha=0.5, lw=0.8, label=\"first pass\")\n", "\n", "#rest of quicksort steps\n", "q_pass = 1\n", "while not (compare_lists(sorted_data, d)):\n", " q_pass += 1\n", " d = quicksort_onestep(d)\n", " qs_steps.append(d)\n", " if compare_lists(d, sorted_data):\n", " plt.plot(sorted_data, c=\"r\", ls=\"dashed\", lw=2.5, label=\"sorted\", alpha = 0.9)\n", " else:\n", " plt.plot(d, alpha=0.7, lw=0.8)\n", "\n", "print(f\"it took {len(qs_steps)} steps to sort {len(random_data)} items\")\n", "# make plot bigger\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## use animations to visualize quicksort\n", "\n", "qs_steps is a array containing each step in the quicksort algorithim.\n", "\n", "Using [matplotlib.animation](https://matplotlib.org/examples/animation/index.html) to animate this.\n", "\n", "Github doesn't render videos for some reason, so see this [notebook at nbviewer](http://nbviewer.jupyter.org/github/khalido/algorithims/blob/master/quicksort.ipynb) for the pretty animations." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# to display animations inline\n", "%matplotlib nbagg \n", "import matplotlib.animation as animation\n", "from IPython import display" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\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", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\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", " 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 backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\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 * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\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 = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\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", " // 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", "\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": [ "it took 234 steps to sort 100 items\n" ] } ], "source": [ "x = [i for i in range(len(qs_steps[0]))]\n", "y = qs_steps\n", "\n", "fig1, ax1 = plt.subplots()\n", "\n", "# why the heck does line need a comma after it?\n", "line, = ax1.plot(x,y[0], lw=3, alpha=0.8, label=\"sorting\")\n", "line2, = ax1.plot(x,y[0], lw=2, alpha = 0.1, label = \"one step before\")\n", "line3 = ax1.plot(x,y[0], lw=0.8, alpha = 0.4, label = \"original data\")\n", "line3 = ax1.plot(x,y[-1], lw=1, alpha = 0.6, label=\"sorted\")\n", "\n", "fig1.set_size_inches(8,6)\n", "ax1.set_title(\"Quick Sort steps\")\n", "ax1.set_xlabel('X')\n", "ax1.set_ylabel('Y')\n", "\n", "def animate(i):\n", " line.set_ydata(y[i]) # update the data\n", " if i > 1:\n", " line2.set_ydata(y[i-1])\n", "\n", "ani2 = animation.FuncAnimation(fig1, animate, \n", " frames=len(y), interval=120, repeat=False) \n", "\n", "print(f\"it took {len(qs_steps)-1} steps to sort {len(qs_steps[0])} items\")\n", "plt.legend()\n", "#ani2.save(\"quicksort_animate1.mp4\")\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "display.HTML(\"\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }