{ "metadata": { "name": "", "signature": "sha256:39ebd5bcf2f9baee558d2e67d4b060556ae7dcca6800bbee030974cdbf794625" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Interacting with the Kernel: IPython widgets\n", "\n", "

" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "*Note that if you're viewing this notebook statically (e.g. on nbviewer) the examples below will not work. They require connection to a running Python kernel*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%run talktools\n", "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "html": [ "\n" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Scientific Visualization\n", "\n", "In practice, it's a long process of trial and error.\n", "\n", "For example, let's say we have some data and want to draw a scatter plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(0)\n", "x, y = np.random.normal(size=(2, 100))\n", "s, c = np.random.random(size=(2, 100))\n", " \n", "def draw_scatter(size=100, cmap='jet', alpha=1.0):\n", " fig, ax = plt.subplots(figsize=(8, 6))\n", " points = ax.scatter(x, y, s=size*s, c=c, alpha=alpha, cmap=cmap)\n", " fig.colorbar(points, ax=ax)\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "draw_scatter(size=100, cmap='jet', alpha=1.0);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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lJfHPP//g6upKyZIlzdqb2NXVle7du5utfVuls5GKIr06hUlUr16dSK2WZ5dk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\nxMWp871GFM6mTZsY8dYIbCqXw8rOinsX7zD7k1m8OepNU4cmROGUklG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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Let's make this interactive...\n", "\n", "IPython 2.0 (released at the beginning of April 2014) adds an **interactive widget** interface:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interact\n", "\n", "colormaps = sorted(m for m in plt.cm.datad if not m.endswith(\"_r\"))\n", "interact(draw_scatter, size=[0, 2000], alpha=[0.0, 1.0], cmap=colormaps);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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lJfHPP//g6upKyZIlzdqb2NXVle7du5utfVuls5GKIr06hUlUr16dSK2WZ5dk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\n19cXH5/ct48R+nHu3Dn6D3gJv7ruDBjYk/Pnz+tc5lvjxrM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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## You don't even realize how cool this is...\n", "\n", "These are *Javascript events* calling back to the *Python Kernel* which leads to *display events in the browser*.\n", "\n", "We can use [NetworkX](http://networkx.github.io/) to explore some types of random graphs:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import networkx as nx\n", "\n", "def random_lobster(n, m, k, p):\n", " return nx.random_lobster(n, p, p / m)\n", "\n", "def powerlaw_cluster(n, m, k, p):\n", " return nx.powerlaw_cluster_graph(n, m, p)\n", "\n", "def erdos_renyi(n, m, k, p):\n", " return nx.erdos_renyi_graph(n, p)\n", "\n", "def newman_watts_strogatz(n, m, k, p):\n", " return nx.newman_watts_strogatz_graph(n, k, p)\n", "\n", "def plot_random_graph(n, m, k, p, generator):\n", " g = generator(n, m, k, p)\n", " nx.draw(g)\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "interact(plot_random_graph, n=(2,30), m=(1,10), k=(1,10), p=(0.0, 1.0, 0.001),\n", " generator={'lobster': random_lobster,\n", " 'power law': powerlaw_cluster,\n", " 'Newman-Watts-Strogatz': newman_watts_strogatz,\n", " u'Erd\u0151s-R\u00e9nyi': erdos_renyi,\n", " });" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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lZmaGiRMn4uzZs/jw4QMmT56MmJgYdOzYEQ0aNMDs2bNx+fLlCt0ObfmiRVg7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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Exploring the Lorenz System\n", "\n", "We can also call-back to arbitrarily complicated Python scripts.\n", "\n", "One well-known set of differential equations is the *Lorenz system:*\n", "\n", "$$\n", "\\begin{aligned}\n", "\\dot{x} & = \\sigma(y-x) \\\\\n", "\\dot{y} & = \\rho x - y - xz \\\\\n", "\\dot{z} & = -\\beta z + xy\n", "\\end{aligned}\n", "$$\n", "\n", "It exhibits a range of different behaviors as the parameters ($\\sigma$, $\\beta$, $\\rho$) are varied.\n", "\n", "

" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Let's write a quick Lorenz solver..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from scipy import integrate\n", "\n", "from matplotlib import pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.colors import cnames\n", "from matplotlib import animation" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "def solve_lorenz(N=10, angle=0.0, max_time=4.0, sigma=10.0, beta=8./3, rho=28.0):\n", " \n", " def lorenz_deriv((x, y, z), t0, sigma=sigma, beta=beta, rho=rho):\n", " \"\"\"Compute the time-derivative of a Lorentz system.\"\"\"\n", " return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z]\n", "\n", " # Choose random starting points, uniformly distributed from -15 to 15\n", " np.random.seed(1)\n", " x0 = -15 + 30 * np.random.random((N, 3))\n", "\n", " # Solve for the trajectories\n", " t = np.linspace(0, max_time, int(250*max_time))\n", " x_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t)\n", " for x0i in x0])\n", " \n", " # choose a different color for each trajectory\n", " colors = plt.cm.jet(np.linspace(0, 1, N))\n", "\n", " # plot the results\n", " fig = plt.figure()\n", " ax = fig.add_axes([0, 0, 1, 1], projection='3d')\n", " ax.axis('off')\n", "\n", " # prepare the axes limits\n", " ax.set_xlim((-25, 25))\n", " ax.set_ylim((-35, 35))\n", " ax.set_zlim((5, 55))\n", "\n", " for i in range(N):\n", " x, y, z = x_t[i,:,:].T\n", " lines = ax.plot(x, y, z, '-', c=colors[i])\n", " plt.setp(lines, linewidth=2)\n", "\n", " ax.view_init(30, angle)\n", " plt.show()\n", "\n", " return t, x_t" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "t, x_t = solve_lorenz()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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znsyDHhdFbl4PJ1jtVzIBLFkp27h07mP8K28pInZHw6pw/ExjbOrWuPt0oIZ/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\nyMAnSZIk1Sn/D1uVoblcqB5cAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interactive\n", "\n", "w = interactive(solve_lorenz, angle=(0.,360.), N=(0,50), sigma=(0.0,50.0), rho=(0.0,50.0))\n", "display(w)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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znsyDHhdFbl4PJ1jtVzIBLFkp27h07mP8K28pInZHw6pw/ExjbOrWuPt0oIZ/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\nzv6N6AR6ZVyuPJklAuDOIhn6HYxgkg0Ms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