Use of Python Programming Language in Astronomy and Science
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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. -
Data Visualization in Python
Data visualization in python Day 2 A variety of packages and philosophies • (today) matplotlib: http://matplotlib.org/ – Gallery: http://matplotlib.org/gallery.html – Frequently used commands: http://matplotlib.org/api/pyplot_summary.html • Seaborn: http://stanford.edu/~mwaskom/software/seaborn/ • ggplot: – R version: http://docs.ggplot2.org/current/ – Python port: http://ggplot.yhathq.com/ • Bokeh (live plots in your browser) – http://bokeh.pydata.org/en/latest/ Biocomputing Bootcamp 2017 Matplotlib • Gallery: http://matplotlib.org/gallery.html • Top commands: http://matplotlib.org/api/pyplot_summary.html • Provides "pylab" API, a mimic of matlab • Many different graph types and options, some obscure Biocomputing Bootcamp 2017 Matplotlib • Resulting plots represented by python objects, from entire figure down to individual points/lines. • Large API allows any aspect to be tweaked • Lengthy coding sometimes required to make a plot "just so" Biocomputing Bootcamp 2017 Seaborn • https://stanford.edu/~mwaskom/software/seaborn/ • Implements more complex plot types – Joint points, clustergrams, fitted linear models • Uses matplotlib "under the hood" Biocomputing Bootcamp 2017 Others • ggplot: – (Original) R version: http://docs.ggplot2.org/current/ – A recent python port: http://ggplot.yhathq.com/ – Elegant syntax for compactly specifying plots – but, they can be hard to tweak – We'll discuss this on the R side tomorrow, both the basics of both work similarly. • Bokeh – Live, clickable plots in your browser! – http://bokeh.pydata.org/en/latest/ -
Xcode Package from App Store
KH Computational Physics- 2016 Introduction Setting up your computing environment Installation • MAC or Linux are the preferred operating system in this course on scientific computing. • Windows can be used, but the most important programs must be installed – python : There is a nice package ”Enthought Python Distribution” http://www.enthought.com/products/edudownload.php – C++ and Fortran compiler – BLAS&LAPACK for linear algebra – plotting program such as gnuplot Kristjan Haule, 2016 –1– KH Computational Physics- 2016 Introduction Software for this course: Essentials: • Python, and its packages in particular numpy, scipy, matplotlib • C++ compiler such as gcc • Text editor for coding (for example Emacs, Aquamacs, Enthought’s IDLE) • make to execute makefiles Highly Recommended: • Fortran compiler, such as gfortran or intel fortran • BLAS& LAPACK library for linear algebra (most likely provided by vendor) • open mp enabled fortran and C++ compiler Useful: • gnuplot for fast plotting. • gsl (Gnu scientific library) for implementation of various scientific algorithms. Kristjan Haule, 2016 –2– KH Computational Physics- 2016 Introduction Installation on MAC • Install Xcode package from App Store. • Install ‘‘Command Line Tools’’ from Apple’s software site. For Mavericks and lafter, open Xcode program, and choose from the menu Xcode -> Open Developer Tool -> More Developer Tools... You will be linked to the Apple page that allows you to access downloads for Xcode. You wil have to register as a developer (free). Search for the Xcode Command Line Tools in the search box in the upper left. Download and install the correct version of the Command Line Tools, for example for OS ”El Capitan” and Xcode 7.2, Kristjan Haule, 2016 –3– KH Computational Physics- 2016 Introduction you need Command Line Tools OS X 10.11 for Xcode 7.2 Apple’s Xcode contains many libraries and compilers for Mac systems. -
How to Access Python for Doing Scientific Computing
How to access Python for doing scientific computing1 Hans Petter Langtangen1,2 1Center for Biomedical Computing, Simula Research Laboratory 2Department of Informatics, University of Oslo Mar 23, 2015 A comprehensive eco system for scientific computing with Python used to be quite a challenge to install on a computer, especially for newcomers. This problem is more or less solved today. There are several options for getting easy access to Python and the most important packages for scientific computations, so the biggest issue for a newcomer is to make a proper choice. An overview of the possibilities together with my own recommendations appears next. Contents 1 Required software2 2 Installing software on your laptop: Mac OS X and Windows3 3 Anaconda and Spyder4 3.1 Spyder on Mac............................4 3.2 Installation of additional packages.................5 3.3 Installing SciTools on Mac......................5 3.4 Installing SciTools on Windows...................5 4 VMWare Fusion virtual machine5 4.1 Installing Ubuntu...........................6 4.2 Installing software on Ubuntu....................7 4.3 File sharing..............................7 5 Dual boot on Windows8 6 Vagrant virtual machine9 1The material in this document is taken from a chapter in the book A Primer on Scientific Programming with Python, 4th edition, by the same author, published by Springer, 2014. 7 How to write and run a Python program9 7.1 The need for a text editor......................9 7.2 Spyder................................. 10 7.3 Text editors.............................. 10 7.4 Terminal windows.......................... 11 7.5 Using a plain text editor and a terminal window......... 12 8 The SageMathCloud and Wakari web services 12 8.1 Basic intro to SageMathCloud................... -
Ginga Documentation Release 2.5.20160420043855
Ginga Documentation Release 2.5.20160420043855 Eric Jeschke May 05, 2016 Contents 1 About Ginga 1 2 Copyright and License 3 3 Requirements and Supported Platforms5 4 Getting the source 7 5 Building and Installation 9 5.1 Detailed Installation Instructions for Ginga...............................9 6 Documentation 15 6.1 What’s New in Ginga?.......................................... 15 6.2 Ginga Quick Reference......................................... 19 6.3 The Ginga FAQ.............................................. 22 6.4 The Ginga Viewer and Toolkit Manual................................. 25 6.5 Reference/API.............................................. 87 7 Bug reports 107 8 Developer Info 109 9 Etymology 111 10 Pronunciation 113 11 Indices and tables 115 Python Module Index 117 i ii CHAPTER 1 About Ginga Ginga is a toolkit designed for building viewers for scientific image data in Python, visualizing 2D pixel data in numpy arrays. It can view astronomical data such as contained in files based on the FITS (Flexible Image Transport System) file format. It is written and is maintained by software engineers at the Subaru Telescope, National Astronomical Observatory of Japan. The Ginga toolkit centers around an image display class which supports zooming and panning, color and intensity mapping, a choice of several automatic cut levels algorithms and canvases for plotting scalable geometric forms. In addition to this widget, a general purpose “reference” FITS viewer is provided, based on a plugin framework. A fairly complete set of “standard” plugins are provided for features that we expect from a modern FITS viewer: panning and zooming windows, star catalog access, cuts, star pick/fwhm, thumbnails, etc. 1 Ginga Documentation, Release 2.5.20160420043855 2 Chapter 1. -
Principal Components Analysis Tutorial 4 Yang
Principal Components Analysis Tutorial 4 Yang 1 Objectives Understand the principles of principal components analysis (PCA) Know the principal components analysis method Study the PCA function of sickit-learn.decomposition Process the data set by the PCA of sickit-learn Learn to apply PCA in a reality example 2 Principal Components Analysis Method: ̶ Subtract the mean ̶ Calculate the covariance matrix ̶ Calculate the eigenvectors and eigenvalues of the covariance matrix ̶ Choosing components and forming a feature vector ̶ Deriving the new data set 3 Example 1 x y 퐷푎푡푎 = 2.5 2.4 0.5 0.7 2.2 2.9 1.9 2.2 3.1 3.0 2.3 2.7 2 1.6 1 1.1 1.5 1.6 1.1 0.9 4 sklearn.decomposition.PCA It uses the LAPACK implementation of the full SVD or a randomized truncated SVD by the method of Halko et al. 2009, depending on the shape of the input data and the number of components to extract. It can also use the scipy.sparse.linalg ARPACK implementation of the truncated SVD. Notice that this class does not upport sparse input. 5 Parameters of PCA n_components: Number of components to keep. svd_solver: if n_components is not set: n_components == auto: default, if the input data is larger than 500x500 min (n_samples, n_features), default=None and the number of components to extract is lower than 80% of the smallest dimension of the data, then the more efficient ‘randomized’ method is enabled. if n_components == ‘mle’ and svd_solver == ‘full’, Otherwise the exact full SVD is computed and Minka’s MLE is used to guess the dimension optionally truncated afterwards. -
Pyconfr 2014 1 / 105 Table Des Matières Bienvenue À Pyconfr 2014
PyconFR 2014 1 / 105 Table des matières Bienvenue à PyconFR 2014...........................................................................................................................5 Venir à PyconFR............................................................................................................................................6 Plan du campus..........................................................................................................................................7 Bâtiment Thémis...................................................................................................................................7 Bâtiment Nautibus................................................................................................................................8 Accès en train............................................................................................................................................9 Accès en avion........................................................................................................................................10 Accès en voiture......................................................................................................................................10 Accès en vélo...........................................................................................................................................11 Plan de Lyon................................................................................................................................................12 -
Python Guide Documentation Release 0.0.1
Python Guide Documentation Release 0.0.1 Kenneth Reitz February 19, 2018 Contents 1 Getting Started with Python 3 1.1 Picking an Python Interpreter (3 vs. 2).................................3 1.2 Properly Installing Python........................................5 1.3 Installing Python 3 on Mac OS X....................................6 1.4 Installing Python 3 on Windows.....................................8 1.5 Installing Python 3 on Linux.......................................9 1.6 Installing Python 2 on Mac OS X.................................... 10 1.7 Installing Python 2 on Windows..................................... 12 1.8 Installing Python 2 on Linux....................................... 13 1.9 Pipenv & Virtual Environments..................................... 14 1.10 Lower level: virtualenv.......................................... 17 2 Python Development Environments 21 2.1 Your Development Environment..................................... 21 2.2 Further Configuration of Pip and Virtualenv............................... 26 3 Writing Great Python Code 29 3.1 Structuring Your Project......................................... 29 3.2 Code Style................................................ 40 3.3 Reading Great Code........................................... 49 3.4 Documentation.............................................. 50 3.5 Testing Your Code............................................ 53 3.6 Logging.................................................. 58 3.7 Common Gotchas............................................ 60 3.8 Choosing -
Prof. Jim Crutchfield Nonlinear Physics— Modeling Chaos
Nonlinear Physics— Modeling Chaos & Complexity Prof. Jim Crutchfield Physics Department & Complexity Sciences Center University of California, Davis cse.ucdavis.edu/~chaos Tuesday, March 30, 2010 1 Mechanism Revived Deterministic chaos Nature actively produces unpredictability What is randomness? Where does it come from? Specific mechanisms: Exponential divergence of states Sensitive dependence on parameters Sensitive dependence on initial state ... Tuesday, March 30, 2010 2 Brief History of Chaos Discovery of Chaos: 1890s, Henri Poincaré Invents Qualitative Dynamics Dynamics in 20th Century Develops in Mathematics (Russian & Europe) Exiled from Physics Re-enters Science in 1970s Experimental tests Simulation Flourishes in Mathematics: Ergodic theory & foundations of Statistical Mechanics Topological dynamics Catastrophe/Singularity theory Pattern formation/center manifold theory ... Tuesday, March 30, 2010 3 Discovering Order in Chaos Problem: No “closed-form” analytical solution for predicting future of nonlinear, chaotic systems One can prove this! Consequence: Each nonlinear system requires its own representation Pattern recognition: Detecting what we know Ultimate goal: Causal explanation What are the hidden mechanisms? Pattern discovery: Finding what’s truly new Tuesday, March 30, 2010 4 Major Roadblock to the Scientific Algorithm No “closed-form” analytical solutions Baconian cycle of successively refining models broken Solution: Qualitative dynamics: “Shape” of chaos Computing Tuesday, March 30, 2010 5 Logic of the Course Two -
Pandas: Powerful Python Data Analysis Toolkit Release 0.25.3
pandas: powerful Python data analysis toolkit Release 0.25.3 Wes McKinney& PyData Development Team Nov 02, 2019 CONTENTS i ii pandas: powerful Python data analysis toolkit, Release 0.25.3 Date: Nov 02, 2019 Version: 0.25.3 Download documentation: PDF Version | Zipped HTML Useful links: Binary Installers | Source Repository | Issues & Ideas | Q&A Support | Mailing List pandas is an open source, BSD-licensed library providing high-performance, easy-to-use data structures and data analysis tools for the Python programming language. See the overview for more detail about whats in the library. CONTENTS 1 pandas: powerful Python data analysis toolkit, Release 0.25.3 2 CONTENTS CHAPTER ONE WHATS NEW IN 0.25.2 (OCTOBER 15, 2019) These are the changes in pandas 0.25.2. See release for a full changelog including other versions of pandas. Note: Pandas 0.25.2 adds compatibility for Python 3.8 (GH28147). 1.1 Bug fixes 1.1.1 Indexing • Fix regression in DataFrame.reindex() not following the limit argument (GH28631). • Fix regression in RangeIndex.get_indexer() for decreasing RangeIndex where target values may be improperly identified as missing/present (GH28678) 1.1.2 I/O • Fix regression in notebook display where <th> tags were missing for DataFrame.index values (GH28204). • Regression in to_csv() where writing a Series or DataFrame indexed by an IntervalIndex would incorrectly raise a TypeError (GH28210) • Fix to_csv() with ExtensionArray with list-like values (GH28840). 1.1.3 Groupby/resample/rolling • Bug incorrectly raising an IndexError when passing a list of quantiles to pandas.core.groupby. DataFrameGroupBy.quantile() (GH28113). -
MATLAB Commands in Numerical Python (Numpy) 1 Vidar Bronken Gundersen /Mathesaurus.Sf.Net
MATLAB commands in numerical Python (NumPy) 1 Vidar Bronken Gundersen /mathesaurus.sf.net MATLAB commands in numerical Python (NumPy) Copyright c Vidar Bronken Gundersen Permission is granted to copy, distribute and/or modify this document as long as the above attribution is kept and the resulting work is distributed under a license identical to this one. The idea of this document (and the corresponding xml instance) is to provide a quick reference for switching from matlab to an open-source environment, such as Python, Scilab, Octave and Gnuplot, or R for numeric processing and data visualisation. Where Octave and Scilab commands are omitted, expect Matlab compatibility, and similarly where non given use the generic command. Time-stamp: --T:: vidar 1 Help Desc. matlab/Octave Python R Browse help interactively doc help() help.start() Octave: help -i % browse with Info Help on using help help help or doc doc help help() Help for a function help plot help(plot) or ?plot help(plot) or ?plot Help for a toolbox/library package help splines or doc splines help(pylab) help(package=’splines’) Demonstration examples demo demo() Example using a function example(plot) 1.1 Searching available documentation Desc. matlab/Octave Python R Search help files lookfor plot help.search(’plot’) Find objects by partial name apropos(’plot’) List available packages help help(); modules [Numeric] library() Locate functions which plot help(plot) find(plot) List available methods for a function methods(plot) 1.2 Using interactively Desc. matlab/Octave Python R Start session Octave: octave -q ipython -pylab Rgui Auto completion Octave: TAB or M-? TAB Run code from file foo(.m) execfile(’foo.py’) or run foo.py source(’foo.R’) Command history Octave: history hist -n history() Save command history diary on [..] diary off savehistory(file=".Rhistory") End session exit or quit CTRL-D q(save=’no’) CTRL-Z # windows sys.exit() 2 Operators Desc. -
General Relativity Computations with Sagemanifolds
General relativity computations with SageManifolds Eric´ Gourgoulhon Laboratoire Univers et Th´eories (LUTH) CNRS / Observatoire de Paris / Universit´eParis Diderot 92190 Meudon, France http://luth.obspm.fr/~luthier/gourgoulhon/ NewCompStar School 2016 Neutron stars: gravitational physics theory and observations Coimbra (Portugal) 5-9 September 2016 Eric´ Gourgoulhon (LUTH) GR computations with SageManifolds NewCompStar, Coimbra, 6 Sept. 2016 1 / 29 Outline 1 Computer differential geometry and tensor calculus 2 The SageManifolds project 3 Let us practice! 4 Other examples 5 Conclusion and perspectives Eric´ Gourgoulhon (LUTH) GR computations with SageManifolds NewCompStar, Coimbra, 6 Sept. 2016 2 / 29 Computer differential geometry and tensor calculus Outline 1 Computer differential geometry and tensor calculus 2 The SageManifolds project 3 Let us practice! 4 Other examples 5 Conclusion and perspectives Eric´ Gourgoulhon (LUTH) GR computations with SageManifolds NewCompStar, Coimbra, 6 Sept. 2016 3 / 29 In 1965, J.G. Fletcher developed the GEOM program, to compute the Riemann tensor of a given metric In 1969, during his PhD under Pirani supervision, Ray d'Inverno wrote ALAM (Atlas Lisp Algebraic Manipulator) and used it to compute the Riemann tensor of Bondi metric. The original calculations took Bondi and his collaborators 6 months to go. The computation with ALAM took 4 minutes and yielded to the discovery of 6 errors in the original paper [J.E.F. Skea, Applications of SHEEP (1994)] Since then, many softwares for tensor calculus have been developed... Computer differential geometry and tensor calculus Introduction Computer algebra system (CAS) started to be developed in the 1960's; for instance Macsyma (to become Maxima in 1998) was initiated in 1968 at MIT Eric´ Gourgoulhon (LUTH) GR computations with SageManifolds NewCompStar, Coimbra, 6 Sept.