{ "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "codemirror_mode": { "name": "ipython", "version": 2 }, "display_name": "IPython (Python 2)", "language": "python", "name": "python2" }, "name": "", "signature": "sha256:0f954a027dd3110c22188ba443d9cf97d5e5abe2aaf0af4fca3b8b1888595143" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Docker: An Introduction for Research Software Engineers\n", "\n", "#### Matt McCormick, Kitware, Inc\n", "#### Kitware Tech Lunch, 2015-02-10" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Imports for running this presentation live\n", "\n", "from IPython.html.widgets import interact, interactive\n", "from IPython.display import clear_output, display, HTML\n", "\n", "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\n", "\n", "%matplotlib inline" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "The Problem" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "Even though computers are often considered deterministic, **computational software is a rapidly evolving and changing landscape**. Libraries are constantly adding new features and fixing issues. \n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "Even libraries with the strictest backwards-compatibility policies can **change in significant ways**.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "A **reproducible computational environment** is *sufficiently consistent for the computational task at hand*.\n", "\n", "For example, this can consist of\n", "\n", "- a similar CPU instruction set\n", "- libraries and executables available with a specific version and configuration options\n", "- a specific version of a given compiler\n", "- a specific version of a libc implementation\n", "- a specific version of the C++ standard library" ] }, { "cell_type": "heading", "level": 2, "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "Close But Not Good Enough" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Source code\n", "\n", "Does not include:\n", "\n", "- Compiler\n", "- Hardware it was built on\n", "- How it is configured" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_number": 8, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 8, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Package managers and distributions\n", "\n", "- There is not, and there will not be, a consensus on *the* package manager\n", "- Packages become unsupported over time\n", "- What to do if a required library is not packaged?\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 8, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Virtual machines (VMs)\n", "\n", "- Inefficient utilization of computational resources\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 8, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Enter Docker\n", "\n", "![Docker logo](images/DockerLogo.png)\n", "\n", "Docker is new type of tool to easily build, ship, and run reproducible, binary applications. \n", "\n", "It is \"good enough\" for a reproducible computational environment.\n", "\n", "In this talk, we will introduce Docker from the perspective a scientific research software engineer. We will\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 12 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "- Generate an understanding of what Docker is by comparing it to existing technologies." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 13 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "- Give an introduction to basic Docker concepts." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "- Go through examples that demonstrate when and how it is beneficial to take advantage of this tool." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Understanding Docker\n", "\n", "### Not just this cute whale thing" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Docker is an open-source engine that automates the deployment of any application as a **lightweight**, **portable**, **self-sufficient container** that will run virtually anywhere.\n", "\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker run --rm busybox sh -c 'echo \"Hello Docker World!\"'" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###Docker is a combination of a:\n", "\n", "1. **Sandboxed chroot**\n", "2. **Copy on write filesystem**\n", "3. **Distributed VCS for binaries**\n", "4. **Easy to use interface**" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Sandboxed chroot" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "Docker works with images that **consume minimal disk space**, **versioned**, **archiveable**, and **shareable**. Executing applications in these images does not require dedicated resources and is **high performance**.\n", "\n", "It works with **containers** as opposed to **virtual machines** (VM's).\n", "\n", "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%time !docker run --rm busybox sh -c 'echo \"Hello Docker World!\"'" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "A Docker container is similar to a running an application in a *chroot*, but it sandboxes processes and the network stack with Linux kernel:\n", "\n", "* **Namespaces**: isolated processes, networking, messaging, file systems, hostname's\n", "* **CGroups**: groups together cpu, memory, and IO resources\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Copy on Write Filesystem\n", "\n", "**Union file systems**, or UnionFS, are file systems that operate by **creating layers**, making them very **lightweight** and **fast**. Docker uses union file systems to provide the building blocks for containers. Docker can make use of several union file system variants including: \n", "\n", "- AUFS\n", "- btrfs\n", "- vfs\n", "- DeviceMapper\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Kernel and root filesystem\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###Re-usable, shared filesystem layers\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "##Distributed VCS for binaries\n", "\n", "### Docker is like Git for binaries\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14 }, "slideshow": { "slide_type": "notes" } }, "source": [ "###DockerHub is like GitHub\n", "\n", "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker search itk" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "notes" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Docker is like Git, since\n", "\n", "- Docker images are identified with hex string or tags\n", "- Interface is `docker `\n", "- `docker push`, `docker pull`, `docker tag`\n", "- `docker export` will create a archiveable tarball of an image's filesystem. " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Easy to use interface" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker --help" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker cp --help" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###Installing\n", "\n", "Here's what you need:\n", "\n", "- Linux kernel with control groups and namespaces\n", "- Support for Another Union File System (AUFS)\n", "- Docker Daemon / Server (written in Go)\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "####Linux\n", "\n", "- Ubuntu 14.04 *or*\n", "- See [Docker installation instructions](http://docs.docker.com/installation/) for distributions with Kernel 3.8 + later *or*\n", "- [Kernel configuration instructions](https://wiki.gentoo.org/wiki/LXC)" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "####Windows and Mac\n", "\n", "[boot2docker](http://boot2docker.io/)\n", "\n", "* easy install of\n", " - Git Bash\n", " - VirtualBox\n", " - Lightweight Linux distribution\n", " - Docker\n", "\n", "* Works, but adds layer of complexity\n", "* Mac native interface improving\n", "* Comes with busybox shell -> Write your Docker build.sh and run.sh in Bourne shell" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Docker Concepts" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "##Image\n", " \n", "###A read-only file system layer" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 38, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker images" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 38, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker pull odise/busybox-python" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 40 }, "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker images" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "##Container\n", "\n", "###An modifiable image with processes running in memory, or an exited container with a modified filesystem" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 43, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker ps" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 43, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker run -d busybox sh -c 'sleep 3'" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45 }, "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker ps" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 46 }, "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker ps -a" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 47, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 47, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "##Volume\n", "\n", "###A mounted directory that is not tracked as a filesystem layer\n", "\n", "* Data volumes are initialized when a container is created\n", "* Volumes can be shared and reused between containers\n", "* Changes to a data volume are made directly\n", "* Changes to a data volume will not be included when you update an image\n", "* Volume persist until no containers use them\n", "* Host directories can also be mounted as data volumes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!ls $PWD/images/" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 47 }, "slideshow": { "slide_type": "-" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker run --rm --volume $PWD/images:/images busybox \\\n", " sh -c 'ls /images'" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 47, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 47, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "##Dockerfile\n", "\n", "###A sequence of instructions to generate a Docker image" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%writefile docker-ls-images/Dockerfile\n", "\n", "# Best practice for Dockerfile's:\n", "# specify exact versions whenever possible.\n", "FROM busybox:4986bf8c1536\n", "MAINTAINER Matt McCormick \n", "RUN mkdir -p /images\n", "VOLUME /images\n", "CMD [\"/bin/sh\", \"-c\", \"ls /images\"]" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 52, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Overwriting docker-ls-images/Dockerfile\n" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "!docker build -t ls-images ./docker-ls-images" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 52, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker run --rm -v $PWD/images:/images ls-images" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Example Applications" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Creating a Reproducible Computational Environment" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "Reproducing [an article on PET image series kinetic analysis](http://hdl.handle.net/10380/3469)\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "####The Article's Build Instructions Part 1\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "####The Article's Build Instructions Part 2\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "####The Article's Build Instructions Part 3\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "####The Article's Build Instructions Part 4\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "###Building and Running with Docker" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!git clone https://github.com/thewtex/docker-itkka\n", "!cd docker-itkka\n", "!./build.sh\n", "!./run.sh" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 63 }, "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 64, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "The requirements for reproducing this computational analysis,\n", "\n", "* the Ubuntu 14.04 operating system, \n", "* the GCC 4.8.2-19ubuntu1 compiler, \n", "* and particular versions of the dependencies \n", " - the Insight Toolkit (ITK), \n", " - libxml,\n", " - sundials,\n", " - and Boost,\n", " \n", "are now **runnable on any x86_64 operating system**, **archiveable**, and **shareable**." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 64, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "###Still runnable ten years later\n", "\n", "Ten years later, when the OS, compiler, and dependencies are likely to be unavailable, we can still easily run and modify the computational environment by pulling [its image](https://github.com/thewtex/docker-itkka) from DockerHub.\n", "\n", "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!docker pull thewtex/itkka\n", "!docker run -it thewtex/itkka bash" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 66, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 66, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Live Presentations, workshops and demos" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 66, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Docker is a good alternative to garlic to stave off *the curse of the live demo*.\n", "\n", "For example, see the course on [Modern Scientific Computing with Python](https://github.com/thewtex/ieee-nss-mic-scipy-2014) from IEEE NSS / MIC or this presentation :-)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo(\"P38cLZJ0w2s\")" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "We can demonstrate interatively how to explore the Lorenz system of differential equations:\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", "This is one of the classic systems in non-linear differential equations. It exhibits a range of different behaviors as the parameters ($\\sigma$, $\\beta$, $\\rho$) are varied.\n", "\n", "We define a function that can integrate the differential equations numerically and then plot the solutions. This function has arguments that control the parameters of the differential equation ($\\sigma$, $\\beta$, $\\rho$), the numerical integration (N, max_time) and the visualization (angle)." ] }, { "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", " 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", " 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 trajectory\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", " 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": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# A static view provides limited insights\n", "t, x_t = solve_lorenz(angle=0, N=10)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ncRWOJJQVdu2ejgzXPuRRjlcK9+hHgeeAyaCuKet2DYajYYSvSqFfAR4AngMV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yN+b26PC70Wg1+TtCLs4mqCoalEuFO5cCH1jnaqSov3P4qA4ftXoUyv72mkQ/hNVdarDyBJ7aGI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\nlO/VfYVMpNsR7cd9SHjxiCEes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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# An interative visualization provides much more insight\n", "# into the parameters\n", "w = interactive(solve_lorenz, angle=(0.,360.),\n", " N=(0,50), sigma=(0.0,50.0), rho=(0.0,50.0))\n", "display(w)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2XsCSRqO5drTw/ckIlZlNUDlurodmtqIqz/OigJapIx/49cFOX3Q9XBRC+/fv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\nCUQhCjDnI8oxwyFlRcW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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "YouTubeVideo('QqfjiuqVrV4')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###Graphical Applications and Docker\n", "\n", "A *portable Docker image* will only assume standard CPU/memory/disk/network resources are available. The use of *local USB devices* and *video card devices*, for example, will not make the images runnable anywhere.\n", "\n", "* Use [IPython Notebooks](http://ipython.org/notebook.html)\n", "* Use a [VNC Server / Client](http://stackoverflow.com/questions/16296753/can-you-run-gui-apps-in-a-docker-container)\n", "* [Install](https://github.com/InsightSoftwareConsortium/ITKDevelopmentEnvironment/blob/master/Docker/itksoftwareguide-edit/Dockerfile) [node-mirror](https://github.com/soliton4/nodeMirror) for a browser viewer/terminal/browser/editor\n", "* No OpenGL" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Run Exotic or Binary-only Applications" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###MakerBot Makerware\n", "\n", "The Makerware software to use our MakerBot 3D printer are binaries that only work with certain versions of Ubuntu and Fedora.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "With the [Makerware image](https://github.com/thewtex/docker-makerware), it is possible to run the latest Makerware with any host Linux distribution.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###VTK Rocks!\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Isn't there supposed to be no OpenGL?**\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 81, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "It is possible to run accelerated X11 OpenGL 3D applications, but the Docker images that are built will **only work** on host systems with the same video driver and compatible video card.\n", "\n", "See the [docker-opengl-nvidia](https://github.com/thewtex/docker-opengl-nvidia) and the [docker-opengl-mesa](https://github.com/thewtex/docker-opengl-mesa) repositories." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 81, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Webapp Development and Deployment" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 81, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Jenkins\n", "\n", "Jenkins is an extensible open source continuous integration server.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Jenkins is outstanding, but it runs on Java.\n", "\n", "" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Easy execution and sandboxing\n", "!docker pull jenkins\n", "!docker run --name myjenkins -p 8080:8080 -v /var/jenkins_home jenkins" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###Basic Web App Development and Deployment\n", "\n", "\n", "\n", "Automated deploy commands:\n", "\n", "```bash\n", "docker pull mjhea0/flask-docker-workflow\n", "docker stop flask\n", "docker rm flask\n", "docker run --name flask -d -p 80:80 mjhea0/flask-docker-workflow\n", "```\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "###Many Other Deployment Tools\n", "\n", "There are many other tools for coordinating many containers that work together, spawning many containers on a cluster, ..." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Recap and Next Steps" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Docker is\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 90 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* Sandboxed chroot +" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 91 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* Incremental, copy on write filesystem +" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 92 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* Distributed VCS for binaries +" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 93, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "* Easy to use interface" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 93, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Concepts" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 95 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* *Image*: A read-only file system layer" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 96 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* *Container*: A writable image with processes running in memory, or an exited container with a modified filesystem" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 97 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* *Volume*: A mounted directory that is not tracked as a filesystem layer" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 98, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "* *Dockerfile*: A sequence of instructions to generate a Docker image" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 98, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Applications" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 100 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* Reproducible computational environment" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 101 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* Live presentations, workshops, demos" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 102 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* Run exotic applications in a sandbox" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 103, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "* Webapp development and deployment" ] }, { "cell_type": "heading", "level": 2, "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 103, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Learn more!" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 105, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "* [Interactive Brower-Based Docker Tutorial](https://www.docker.com/tryit/)\n", "* [Docker Documentation](https://docs.docker.com/userguide/)\n", "* [Reproducible Research: Walking the Walk Tutorial](https://reproducible-research.github.io/scipy-tutorial-2014/)\n", "* [IPython DockerHub Repositories](https://registry.hub.docker.com/repos/ipython/)" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 105, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Docker vs. LXC\n", "\n", "* [LXC](https://linuxcontainers.org/) is a set of tools and API to interact with Linux kernel namespaces, cgroups, etc.\n", "* LXC used to be the default execution enviroment for Docker\n", "* Docker provides LXC function, plus:\n", " - Portable deployment across machines\n", " - Application-centric\n", " - Automatic builds\n", " - Versioning\n", " - Component re-use\n", " - Sharing\n", " - Tool echosystem" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 105, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "##Docker vs Rocket\n", "\n", "- [Rocket](https://github.com/coreos/rocket) is a container system like Docker developed by CoreOS\n", "- Rocket is not yet fully operational\n", "- Rocket does not use a daemon/client system" ] } ], "metadata": {} } ] }