Octave: Past, Present, and Future
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A Comparative Evaluation of Matlab, Octave, R, and Julia on Maya 1 Introduction
A Comparative Evaluation of Matlab, Octave, R, and Julia on Maya Sai K. Popuri and Matthias K. Gobbert* Department of Mathematics and Statistics, University of Maryland, Baltimore County *Corresponding author: [email protected], www.umbc.edu/~gobbert Technical Report HPCF{2017{3, hpcf.umbc.edu > Publications Abstract Matlab is the most popular commercial package for numerical computations in mathematics, statistics, the sciences, engineering, and other fields. Octave is a freely available software used for numerical computing. R is a popular open source freely available software often used for statistical analysis and computing. Julia is a recent open source freely available high-level programming language with a sophisticated com- piler for high-performance numerical and statistical computing. They are all available to download on the Linux, Windows, and Mac OS X operating systems. We investigate whether the three freely available software are viable alternatives to Matlab for uses in research and teaching. We compare the results on part of the equipment of the cluster maya in the UMBC High Performance Computing Facility. The equipment has 72 nodes, each with two Intel E5-2650v2 Ivy Bridge (2.6 GHz, 20 MB cache) proces- sors with 8 cores per CPU, for a total of 16 cores per node. All nodes have 64 GB of main memory and are connected by a quad-data rate InfiniBand interconnect. The tests focused on usability lead us to conclude that Octave is the most compatible with Matlab, since it uses the same syntax and has the native capability of running m-files. R was hampered by somewhat different syntax or function names and some missing functions. -
Studying the Real World Today's Topics
Studying the real world Today's topics Free and open source software (FOSS) What is it, who uses it, history Making the most of other people's software Learning from, using, and contributing Learning about your own system Using tools to understand software without source Free and open source software Access to source code Free = freedom to use, modify, copy Some potential benefits Can build for different platforms and needs Development driven by community Different perspectives and ideas More people looking at the code for bugs/security issues Structure Volunteers, sponsored by companies Generally anyone can propose ideas and submit code Different structures in charge of what features/code gets in Free and open source software Tons of FOSS out there Nearly everything on myth Desktop applications (Firefox, Chromium, LibreOffice) Programming tools (compilers, libraries, IDEs) Servers (Apache web server, MySQL) Many companies contribute to FOSS Android core Apple Darwin Microsoft .NET A brief history of FOSS 1960s: Software distributed with hardware Source included, users could fix bugs 1970s: Start of software licensing 1974: Software is copyrightable 1975: First license for UNIX sold 1980s: Popularity of closed-source software Software valued independent of hardware Richard Stallman Started the free software movement (1983) The GNU project GNU = GNU's Not Unix An operating system with unix-like interface GNU General Public License Free software: users have access to source, can modify and redistribute Must share modifications under same -
GNU Readline Library
GNU Readline Library Edition 2.1, for Readline Library Version 2.1. March 1996 Brian Fox, Free Software Foundation Chet Ramey, Case Western Reserve University This do cument describ es the GNU Readline Library, a utility which aids in the consistency of user interface across discrete programs that need to provide a command line interface. Published by the Free Software Foundation 675 Massachusetts Avenue, Cambridge, MA 02139 USA Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this p ermission notice are preserved on all copies. Permission is granted to copy and distribute mo di ed versions of this manual under the con- ditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of a p ermission notice identical to this one. Permission is granted to copy and distribute translations of this manual into another lan- guage, under the ab ove conditions for mo di ed versions, except that this p ermission notice may b e stated in a translation approved by the Foundation. c Copyright 1989, 1991 Free Software Foundation, Inc. Chapter 1: Command Line Editing 1 1 Command Line Editing This chapter describ es the basic features of the GNU command line editing interface. 1.1 Intro duction to Line Editing The following paragraphs describ e the notation used to representkeystrokes. i h i h C-k is read as `Control-K' and describ es the character pro duced when the k The text key is pressed while the Control key is depressed. h i The text M-k is read as `Meta-K' and describ es the character pro duced when the meta h i key if you have one is depressed, and the k key is pressed. -
MELT a Translated Domain Specific Language Embedded in the GCC
MELT a Translated Domain Specific Language Embedded in the GCC Compiler Basile STARYNKEVITCH CEA, LIST Software Safety Laboratory, boˆıte courrier 94, 91191 GIF/YVETTE CEDEX, France [email protected] [email protected] The GCC free compiler is a very large software, compiling source in several languages for many targets on various systems. It can be extended by plugins, which may take advantage of its power to provide extra specific functionality (warnings, optimizations, source refactoring or navigation) by processing various GCC internal representations (Gimple, Tree, ...). Writing plugins in C is a complex and time-consuming task, but customizing GCC by using an existing scripting language inside is impractical. We describe MELT, a specific Lisp-like DSL which fits well into existing GCC technology and offers high-level features (functional, object or reflexive programming, pattern matching). MELT is translated to C fitted for GCC internals and provides various features to facilitate this. This work shows that even huge, legacy, software can be a posteriori extended by specifically tailored and translated high-level DSLs. 1 Introduction GCC1 is an industrial-strength free compiler for many source languages (C, C++, Ada, Objective C, Fortran, Go, ...), targetting about 30 different machine architectures, and supported on many operating systems. Its source code size is huge (4.296MLOC2 for GCC 4.6.0), heterogenous, and still increasing by 6% annually 3. It has no single main architect and hundreds of (mostly full-time) contributors, who follow strict social rules 4. 1.1 The powerful GCC legacy The several GCC [8] front-ends (parsing C, C++, Go . -
Version 7.8-Systemd
Linux From Scratch Version 7.8-systemd Created by Gerard Beekmans Edited by Douglas R. Reno Linux From Scratch: Version 7.8-systemd by Created by Gerard Beekmans and Edited by Douglas R. Reno Copyright © 1999-2015 Gerard Beekmans Copyright © 1999-2015, Gerard Beekmans All rights reserved. This book is licensed under a Creative Commons License. Computer instructions may be extracted from the book under the MIT License. Linux® is a registered trademark of Linus Torvalds. Linux From Scratch - Version 7.8-systemd Table of Contents Preface .......................................................................................................................................................................... vii i. Foreword ............................................................................................................................................................. vii ii. Audience ............................................................................................................................................................ vii iii. LFS Target Architectures ................................................................................................................................ viii iv. LFS and Standards ............................................................................................................................................ ix v. Rationale for Packages in the Book .................................................................................................................... x vi. Prerequisites -
GNU Guix Cookbook Tutorials and Examples for Using the GNU Guix Functional Package Manager
GNU Guix Cookbook Tutorials and examples for using the GNU Guix Functional Package Manager The GNU Guix Developers Copyright c 2019 Ricardo Wurmus Copyright c 2019 Efraim Flashner Copyright c 2019 Pierre Neidhardt Copyright c 2020 Oleg Pykhalov Copyright c 2020 Matthew Brooks Copyright c 2020 Marcin Karpezo Copyright c 2020 Brice Waegeneire Copyright c 2020 Andr´eBatista Copyright c 2020 Christine Lemmer-Webber Copyright c 2021 Joshua Branson Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled \GNU Free Documentation License". i Table of Contents GNU Guix Cookbook ::::::::::::::::::::::::::::::: 1 1 Scheme tutorials ::::::::::::::::::::::::::::::::: 2 1.1 A Scheme Crash Course :::::::::::::::::::::::::::::::::::::::: 2 2 Packaging :::::::::::::::::::::::::::::::::::::::: 5 2.1 Packaging Tutorial:::::::::::::::::::::::::::::::::::::::::::::: 5 2.1.1 A \Hello World" package :::::::::::::::::::::::::::::::::: 5 2.1.2 Setup:::::::::::::::::::::::::::::::::::::::::::::::::::::: 8 2.1.2.1 Local file ::::::::::::::::::::::::::::::::::::::::::::: 8 2.1.2.2 `GUIX_PACKAGE_PATH' ::::::::::::::::::::::::::::::::: 9 2.1.2.3 Guix channels ::::::::::::::::::::::::::::::::::::::: 10 2.1.2.4 Direct checkout hacking:::::::::::::::::::::::::::::: 10 2.1.3 Extended example :::::::::::::::::::::::::::::::::::::::: -
Introduction to GNU Octave
Introduction to GNU Octave Hubert Selhofer, revised by Marcel Oliver updated to current Octave version by Thomas L. Scofield 2008/08/16 line 1 1 0.8 0.6 0.4 0.2 0 -0.2 -0.4 8 6 4 2 -8 -6 0 -4 -2 -2 0 -4 2 4 -6 6 8 -8 Contents 1 Basics 2 1.1 What is Octave? ........................... 2 1.2 Help! . 2 1.3 Input conventions . 3 1.4 Variables and standard operations . 3 2 Vector and matrix operations 4 2.1 Vectors . 4 2.2 Matrices . 4 1 2.3 Basic matrix arithmetic . 5 2.4 Element-wise operations . 5 2.5 Indexing and slicing . 6 2.6 Solving linear systems of equations . 7 2.7 Inverses, decompositions, eigenvalues . 7 2.8 Testing for zero elements . 8 3 Control structures 8 3.1 Functions . 8 3.2 Global variables . 9 3.3 Loops . 9 3.4 Branching . 9 3.5 Functions of functions . 10 3.6 Efficiency considerations . 10 3.7 Input and output . 11 4 Graphics 11 4.1 2D graphics . 11 4.2 3D graphics: . 12 4.3 Commands for 2D and 3D graphics . 13 5 Exercises 13 5.1 Linear algebra . 13 5.2 Timing . 14 5.3 Stability functions of BDF-integrators . 14 5.4 3D plot . 15 5.5 Hilbert matrix . 15 5.6 Least square fit of a straight line . 16 5.7 Trapezoidal rule . 16 1 Basics 1.1 What is Octave? Octave is an interactive programming language specifically suited for vectoriz- able numerical calculations. -
GNU Octave Beginner's Guide
GNU Octave Beginner's Guide Become a profcient Octave user by learning this high-level scientfc numerical tool from the ground up Jesper Schmidt Hansen BIRMINGHAM - MUMBAI GNU Octave Beginner's Guide Copyright © 2011 Packt Publishing All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmited in any form or by any means, without the prior writen permission of the publisher, except in the case of brief quotatons embedded in critcal artcles or reviews. Every efort has been made in the preparaton of this book to ensure the accuracy of the informaton presented. However, the informaton contained in this book is sold without warranty, either express or implied. Neither the author, nor Packt Publishing, its dealers, and distributors will be held liable for any damages caused or alleged to be caused directly or indirectly by this book. Packt Publishing has endeavored to provide trademark informaton about all of the companies and products mentoned in this book by the appropriate use of capitals. However, Packt Publishing cannot guarantee the accuracy of this informaton. First published: June 2011 Producton Reference: 2150611 Published by Packt Publishing Ltd. 32 Lincoln Road Olton Birmingham, B27 6PA, UK. ISBN 978-1-849513-32-6 www.packtpub.com Cover Image by John Quick ([email protected]) Credits Author Project Coordinator Jesper Schmidt Hansen Joel Goveya Reviewers Proofreaders Piotr Gawron Lesley Harrison Kenneth Geisshirt Clyde Jenkins Jordi Gutérrez Hermoso Lynda Sliwoski Acquisiton Editor Indexers Usha Iyer Hemangini Bari Tejal Daruwale Development Editor Monica Ajmera Mehta Roger D'souza Graphics Technical Editor Nilesh R. -
A Tutorial on Reliable Numerical Computation
A tutorial on reliable numerical computation Paul Zimmermann Dagstuhl seminar 17481, Schloß Dagstuhl, November 2017 The IEEE 754 standard First version in 1985, first revision in 2008, another revision for 2018. Standard formats: binary32, binary64, binary128, decimal64, decimal128 Standard rounding modes (attributes): roundTowardPositive, roundTowardNegative, roundTowardZero, roundTiesToEven p Correct rounding: required for +; −; ×; ÷; ·, recommended for other mathematical functions (sin; exp; log; :::) 2 Different kinds of arithmetic in various languages fixed precision arbitrary precision real double (C) GNU MPFR (C) numbers RDF (Sage) RealField(p) (Sage) MPFI (C) Boost Interval (C++) RealIntervalField(p) (Sage) real INTLAB (Matlab, Octave) RealBallField(p) (Sage) intervals RIF (Sage) libieeep1788 (C++) RBF (Sage) Octave Interval (Octave) libieeep1788 is developed by Marco Nehmeier GNU Octave Interval is developed by Oliver Heimlich 3 An example from Siegfried Rump Reference: S.M. Rump. Gleitkommaarithmetik auf dem Prüfstand [Wie werden verifiziert(e) numerische Lösungen berechnet?]. Jahresbericht der Deutschen Mathematiker-Vereinigung, 118(3):179–226, 2016. a p(a; b) = 21b2 − 2a2 + 55b4 − 10a2b2 + 2b Evaluate p at a = 77617, b = 33096. 4 Rump’s polynomial in the C language #include <stdio.h> TYPE p (TYPE a, TYPE b) { TYPE a2 = a * a; TYPE b2 = b * b; return 21.0*b2 - 2.0*a2 + 55*b2*b2 - 10*a2*b2 + a/(2.0*b); } int main() { printf ("%.16Le\n", (long double) p (77617.0, 33096.0)); } 5 Rump’s polynomial in the C language: results $ gcc -DTYPE=float rump.c && ./a.out -4.3870930862080000e+12 $ gcc -DTYPE=double rump.c && ./a.out 1.1726039400531787e+00 $ gcc -DTYPE="long double" rump.c && ./a.out 1.1726039400531786e+00 $ gcc -DTYPE=__float128 rump.c && ./a.out -8.2739605994682137e-01 6 The MPFR library A reference implementation of IEEE 754 in (binary) arbitrary precision in the C language. -
The Evolution of Lisp
1 The Evolution of Lisp Guy L. Steele Jr. Richard P. Gabriel Thinking Machines Corporation Lucid, Inc. 245 First Street 707 Laurel Street Cambridge, Massachusetts 02142 Menlo Park, California 94025 Phone: (617) 234-2860 Phone: (415) 329-8400 FAX: (617) 243-4444 FAX: (415) 329-8480 E-mail: [email protected] E-mail: [email protected] Abstract Lisp is the world’s greatest programming language—or so its proponents think. The structure of Lisp makes it easy to extend the language or even to implement entirely new dialects without starting from scratch. Overall, the evolution of Lisp has been guided more by institutional rivalry, one-upsmanship, and the glee born of technical cleverness that is characteristic of the “hacker culture” than by sober assessments of technical requirements. Nevertheless this process has eventually produced both an industrial- strength programming language, messy but powerful, and a technically pure dialect, small but powerful, that is suitable for use by programming-language theoreticians. We pick up where McCarthy’s paper in the first HOPL conference left off. We trace the development chronologically from the era of the PDP-6, through the heyday of Interlisp and MacLisp, past the ascension and decline of special purpose Lisp machines, to the present era of standardization activities. We then examine the technical evolution of a few representative language features, including both some notable successes and some notable failures, that illuminate design issues that distinguish Lisp from other programming languages. We also discuss the use of Lisp as a laboratory for designing other programming languages. We conclude with some reflections on the forces that have driven the evolution of Lisp. -
Installation Guide for the UNIX Versions
Appendix A: Installation Guide for the UNIX Versions 1. Required tools. Compiling PARI requires an ANSI C or a C++ compiler. If you do not have one, we suggest that you obtain the gcc/g++ compiler. As for all GNU software mentioned afterwards, you can find the most convenient site to fetch gcc at the address http://www.gnu.org/order/ftp.html (On Mac OS X, this is also provided in the Xcode tool suite.) You can certainly compile PARI with a different compiler, but the PARI kernel takes advantage of optimizations provided by gcc. This results in at least 20% speedup on most architectures. Optional packages. The following programs and libraries are useful in conjunction with gp, but not mandatory. In any case, get them before proceeding if you want the functionalities they provide. All of them are free. • GNU MP library. This provides an alternative multiprecision kernel, which is faster than PARI's native one, but unfortunately binary incompatible. To enable detection of GMP, use Con- figure --with-gmp. You should really do this if you only intend to use GP, and probably also if you will use libpari unless you have backwards compatibility requirements. • GNU readline library. This provides line editing under GP, an automatic context-dependent completion, and an editable history of commands. Note that it is incompatible with SUN com- mandtools (yet another reason to dump Suntools for X Windows). • GNU gzip/gunzip/gzcat package enables GP to read compressed data. • GNU emacs. GP can be run in an Emacs buffer, with all the obvious advantages if you are familiar with this editor. -
Université De Montréal Context-Aware
UNIVERSITE´ DE MONTREAL´ CONTEXT-AWARE SOURCE CODE IDENTIFIER SPLITTING AND EXPANSION FOR SOFTWARE MAINTENANCE LATIFA GUERROUJ DEPARTEMENT´ DE GENIE´ INFORMATIQUE ET GENIE´ LOGICIEL ECOLE´ POLYTECHNIQUE DE MONTREAL´ THESE` PRESENT´ EE´ EN VUE DE L'OBTENTION DU DIPLOME^ DE PHILOSOPHIÆ DOCTOR (GENIE´ INFORMATIQUE) JUILLET 2013 ⃝c Latifa Guerrouj, 2013. UNIVERSITE´ DE MONTREAL´ ECOLE´ POLYTECHNIQUE DE MONTREAL´ Cette th`ese intitul´ee: CONTEXT-AWARE SOURCE CODE IDENTIFIER SPLITTING AND EXPANSION FOR SOFTWARE MAINTENANCE pr´esent´eepar: GUERROUJ Latifa en vue de l'obtention du dipl^ome de: Philosophiæ Doctor a ´et´ed^ument accept´eepar le jury d'examen constitu´ede: Mme BOUCHENEB Hanifa, Doctorat, pr´esidente M. ANTONIOL Giuliano, Ph.D., membre et directeur de recherche M. GUEH´ ENEUC´ Yann-Ga¨el, Ph.D., membre et codirecteur de recherche M. DESMARAIS Michel, Ph.D., membre Mme LAWRIE Dawn, Ph.D., membre iii This dissertation is dedicated to my parents. For their endless love, support and encouragement. iv ACKNOWLEDGMENTS I am very grateful to both Giulio and Yann for their support, encouragement, and intel- lectual input. I worked with you for four years or even less, but what I learned from you will last forever. Giulio, your passion about research was a source of inspiration and motivation for me. Also, your mentoring and support have been instrumental in achieving my goals. Yann, your enthusiasm and guidance have always been a strength for me to keep moving forward. Research would not be as much fun without students and researchers to collaborate with. It has been a real pleasure and great privilege working with Massimiliano Di Penta (University of Sannio), Denys Poshyvanyk (College of William and Mary), and their teams.