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% Tutorial slides on Python.
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%
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% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
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% Copyright (c) 2005-2008, Prabhu Ramachandran
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\documentclass[14pt,compress]{beamer}
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%\usepackage{times}
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\usepackage[T1]{fontenc}
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% Taken from Fernando's slides.
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\usepackage{ae,aecompl}
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\usepackage{listings}
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\lstset{language=Python,
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% Macros
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\newcommand{\typ}[1]{\texttt{#1}}
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\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
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%%% This is from Fernando's setup.
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% \usepackage{color}
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% % Use and configure listings package for nicely formatted code
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% postbreak = \space\dots
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% }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Title page
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\title[Basic Python]{Python:\\A great programming toolkit}
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\author[Asokan \& Prabhu] {Asokan Pichai\\Prabhu Ramachandran}
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\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
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\date[] {25, July 2009}
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%% Delete this, if you do not want the table of contents to pop up at
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%% the beginning of each subsection:
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\AtBeginSubsection[]
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{
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\begin{frame}<beamer>
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\frametitle{Outline}
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\tableofcontents[currentsection,currentsubsection]
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\end{frame}
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}
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% If you wish to uncover everything in a step-wise fashion, uncomment
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% the following command:
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% DOCUMENT STARTS
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\begin{document}
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\begin{frame}
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\titlepage
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\end{frame}
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\begin{frame}
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{Acknowledgements}
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\begin{center}
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This program is conducted by\\
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IIT, Bombay\\
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through CDEEP\\as part of the open source initiatives\\
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under the aegis of\\
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\alert{National Mission on Education through ICT,} \\
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Ministry of HRD.
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\end{center}
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\end{frame}
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\begin{frame}
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\frametitle{Outline}
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\tableofcontents
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% You might wish to add the option [pausesections]
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% TODO
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%
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% * Add slide on Python packages (modules)
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% * Add slides on reference counting.
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\section{Agenda}
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\begin{frame}{About the Workshop}
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\begin{description}
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\item[Session 1] Sat 14:00--15:55
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\item[Session 2] Sat 16:05--18:00
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\item[Session 3] Sun 14:00--15:55
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\item[Session 4] Sun 16:05--18:00
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\end{description}
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\begin{block}{Goal of the workshop}
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At the end of this program, successful participants will be able to use python as their scripting and problem solving language. Aimed at Engg. students--focus on basic numerics and plotting-- but should serve a similar purpose for others.
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\end{block}
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\end{frame}
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\begin{frame}{Checklist}
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Let us verify that all of us are having the same (similar) tools and environment
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\begin{description}
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\item[python] Type python at the command line. Do you see version 2.5 or later?
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\item[IPython] Is IPython available?
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\item[Editor] Which editor? scite, vim, emacs, \ldots
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\end{description}
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\end{frame}
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\section{Overview}
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\begin{frame}{Session 1}
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\begin{itemize}
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\item Introduction and motivation
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\item Using the interpreter(s)
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\item Basic data types: int, float, string
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\item Basic data structures: list
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\item Basic console IO: \texttt{raw\_input(), print}
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\item Basic control flow: \texttt{if, while}
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\item Problem set 1
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\item Functions $\rightarrow$ Problem set 2
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\item lists, \texttt{for} $\rightarrow$ Problem set 3
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\item IO, Modules $\rightarrow$ Problem sets 4,5, \ldots
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{Introduction}
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\begin{itemize}
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\item Creator and BDFL: Guido van Rossum
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\item Conceived in December 1989
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\item ``Python'' as in Monty Python's Flying Circus
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\item Current stable version of Python is 2.6.x
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\item PSF license (like BSD: no strings attached)
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\item Highly cross platform
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\item Runs on the Nokia series 60!
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\item \alert{Philosophy:} Simple and complete by design
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{Resources}
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\begin{itemize}
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\item Part of many GNU/Linux distributions
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\item Web: \url{http://www.python.org}
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\item Doc: \url{http://www.python.org/doc}
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\item Free Tutorials:
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\begin{itemize}
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\item Official Python tutorial: \url{http://docs.python.org/tut/tut.html}
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\item Byte of Python: \url{http://www.byteofpython.info/}
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\item Dive into Python: \url{http://diveintopython.org/}
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\end{itemize}
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{Why Python?}
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\begin{itemize}
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\item Designed to be readable and easy to use
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\item High level, interpreted, modular, OO
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\item Much faster development cycle
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\item Powerful interactive environment
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\item Rapid application development
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\item Rich standard library and modules
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\item Interfaces well with C++, C and FORTRAN
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\item \alert{More than a math package $\Rightarrow$ some extra work compared to math packages}
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{Use cases}
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\begin{itemize}
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\item NASA: Space Shuttle Mission Design
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\item AstraZeneca: Collaborative Drug Discovery
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\item ForecastWatch.com: Helps Meteorologists
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\item Industrial Light \& Magic: Runs on Python
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\item Zope: Commercial grade Toolkit
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\item Plone: Professional high feature CMS
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\item RedHat: install scripts, sys-admin tools
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\item Django: A great web application framework
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\item Google: A strong python shop
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{To sum up, python is\ldots}
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\begin{itemize}
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\item dynamically typed, interpreted $\rightarrow$ rapid testing/prototyping
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\item powerful, very high level
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\item has full introspection
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\item Did we mention powerful?
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\end{itemize}
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\begin{block}{But \ldots}
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may be wanting in performance. specialised resources such as SWIG, \alert{Cython} are available
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\end{block}
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\inctime{15}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% TIME: 15 m, running 15m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Python}
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\subsection{Getting Started}
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\begin{frame}[fragile]{At the prompt, type the following}
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\begin{lstlisting}
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>>> print 'Hello Python'
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>>> print 3124 * 126789
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>>> 1786 % 12
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>>> 3124 * 126789
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>>> a = 3124 * 126789
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>>> big = 12345678901234567890 ** 3
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>>> verybig = big * big * big * big
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>>> 12345**6, 12345**67, 12345**678
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{At the prompt, type the following}
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\begin{lstlisting}
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>>> s = 'Hello '
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>>> p = 'World'
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>>> s + p
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>>> s * 12
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>>> s * s
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>>> s + p * 12, (s + p)* 12
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>>> s * 12 + p * 12
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>>> 12 * s
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{At the prompt, type the following}
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\begin{lstlisting}
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>>> 17/2
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>>> 17/2.0
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>>> 17.0/2
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>>> 17.0/8.5
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>>> int(17/2.0)
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>>> float(17/2)
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>>> str(17/2.0)
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>>> round( 7.5 )
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\end{lstlisting}
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\begin{block}{Mini exercise}
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Round a float to the nearest integer, using \texttt{int()}?
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\end{block}
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\end{frame}
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\begin{frame}{Midi exercises}
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\begin{center}
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\begin{itemize}
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\item What does this do?
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\item \texttt{round(amount * 10) /10.0 }
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\end{itemize}
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\end{center}
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\end{frame}
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\begin{frame}{More exercises?}
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\begin{center}
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\begin{block}{Round sums}
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How to round a number to the nearest 5 paise?\\
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\begin{description}
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\item[Remember] 17.23 $\rightarrow$ 17.25,\\ while 17.22 $\rightarrow$ 17.20\\
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\end{description}
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How to round a number to the nearest 20 paise?
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\end{block}
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\end{center}
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\end{frame}
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\begin{frame}[fragile] {A question of good style}
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\begin{lstlisting}
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amount = 12.68
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denom = 0.05
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nCoins = round(amount/denom)
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rAmount = nCoins * denom
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\end{lstlisting}
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\pause
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\begin{block}{Style Rule \#1}
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Naming is 80\% of programming
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\end{block}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Odds and ends}
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\begin{itemize}
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\item Case sensitive
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\item Dynamically typed $\Rightarrow$ need not specify a type
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\begin{lstlisting}
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a = 1
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a = 1.1
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a = "Now I am a string!"
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\end{lstlisting}
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\item Comments:
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\begin{lstlisting}
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a = 1 # In-line comments
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# Comment in a line to itself.
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a = "# This is not a comment!"
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\end{lstlisting}
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\end{itemize}
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\inctime{15}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% TIME: 15 m, running 30m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\subsection{Data types}
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\begin{frame}
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\frametitle{Basic types}
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\begin{itemize}
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\item numbers: float, int, long, complex
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\item strings
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\item boolean
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\end{itemize}
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\begin{block}{Also to be discussed later}
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tuples, lists, dictionaries, functions, objects\ldots
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\end{block}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Numbers}
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\vspace*{-0.25in}
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\begin{lstlisting}
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>>> a = 1 # Int.
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>>> l = 1000000L # Long
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>>> e = 1.01325e5 # float
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>>> f = 3.14159 # float
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>>> c = 1+1j # Complex!
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>>> print f*c/a
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(3.14159+3.14159j)
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>>> print c.real, c.imag
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1.0 1.0
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>>> abs(c)
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1.4142135623730951
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>>> abs( 8 - 9.5 )
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1.5
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Boolean}
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\begin{lstlisting}
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>>> t = True
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>>> f = not t
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False
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>>> f or t
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True
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>>> f and t
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False
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\end{lstlisting}
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\begin{block}{Try:}
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NOT True\\
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not TRUE
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\end{block}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Relational and logical operators}
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\begin{lstlisting}
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>>> a, b, c = -1, 0, 1
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>>> a == b
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False
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>>> a <= b
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True
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>>> a + b != c
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True
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>>> a < b < c
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True
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>>> c >= a + b
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True
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Strings}
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\begin{lstlisting}
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s = 'this is a string'
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s = 'This one has "quotes" inside!'
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s = "I have 'single-quotes' inside!"
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l = "A string spanning many lines\
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one more line\
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yet another"
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t = """A triple quoted string does
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not need to be escaped at the end and
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"can have nested quotes" etc."""
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{More Strings}
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\vspace*{-0.2in}
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\begin{lstlisting}
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>>> w = "hello"
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>>> print w[0] + w[2] + w[-1]
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hlo
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>>> len(w) # guess what
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5
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>>> s = u'Unicode strings!'
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>>> # Raw strings (note the leading 'r')
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... r_s = r'A string $\alpha \nu$'
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\end{lstlisting}
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\pause
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\begin{lstlisting}
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>>> w[0] = 'H' # Can't do that!
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Traceback (most recent call last):
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File "<stdin>", line 1, in ?
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TypeError: object does not support item assignment
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\end{lstlisting}
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\end{frame}
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\begin{frame}
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\frametitle{Let us switch to IPython}
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Why?
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\begin{block}
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{Better help (and a lot more)}
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Tab completion\\
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?\\
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.?\\
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object.function?
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\end{block}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{More on strings}
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\begin{lstlisting}
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In [1]: a = 'hello world'
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In [2]: a.startswith('hell')
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Out[2]: True
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In [3]: a.endswith('ld')
+ − 479
Out[3]: True
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In [4]: a.upper()
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Out[4]: 'HELLO WORLD'
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In [5]: a.upper().lower()
+ − 483
Out[5]: 'hello world'
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]{Still with strings}
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\begin{lstlisting}
+ − 489
In [6]: a.split()
+ − 490
Out[6]: ['hello', 'world']
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In [7]: ''.join(['a', 'b', 'c'])
+ − 492
Out[7]: 'abc'
+ − 493
In [8] 'd' in ''.join( 'a', 'b', 'c')
+ − 494
Out[8]: False
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\end{lstlisting}
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\begin{block}{Try:}
+ − 497
\texttt{a.split( 'o' )}\\
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\texttt{'x'.join( a.split( 'o' ) )}
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\end{block}
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\end{frame}
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\begin{frame}[fragile]{Surprise! strings!!}
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\begin{lstlisting}
+ − 504
In [11]: x, y = 1, 1.2
+ − 505
In [12]: 'x is %s, y is %s' %(x, y)
+ − 506
Out[12]: 'x is 1, y is 1.234'
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\end{lstlisting}
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\begin{block}{Try:}
+ − 509
\texttt{'x is \%d, y is \%f' \%(x, y) }\\
+ − 510
\texttt{'x is \%3d, y is \%4.2f' \%(x, y) }
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\end{block}
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\small
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\url{docs.python.org/lib/typesseq-strings.html}\\
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\end{frame}
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\begin{frame}
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{Interlude}
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\begin{block}
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{A classic problem}
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How to interchange values of two variables? Please note that the type of either variable is unknown and it is not necessary that both be of the same type even!
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\end{block}
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\inctime{30}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% TIME: 25 m+ Interlude break 5 mins, running 60m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\subsection{Control flow}
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\begin{frame}
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\frametitle{Control flow constructs}
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\begin{itemize}
+ − 533
\item \kwrd{if/elif/else}: branching
+ − 534
\item \kwrd{while}: looping
+ − 535
\item \kwrd{for}: iterating
+ − 536
\item \kwrd{break, continue}: modify loop
+ − 537
\item \kwrd{pass}: syntactic filler
+ − 538
\end{itemize}
+ − 539
\end{frame}
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\begin{frame}[fragile]
+ − 542
\frametitle{Basic conditional flow}
+ − 543
\begin{lstlisting}
+ − 544
In [21]: a = 7
+ − 545
In [22]: b = 8
+ − 546
In [23]: if a > b:
+ − 547
....: print 'Hello'
+ − 548
....: else:
+ − 549
....: print 'World'
+ − 550
....:
+ − 551
....:
+ − 552
World
+ − 553
\end{lstlisting}
+ − 554
Let us switch to creating a file
+ − 555
\end{frame}
+ − 556
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\begin{frame}
+ − 558
{Creating python files}
+ − 559
\begin{itemize}
+ − 560
\item aka scripts
+ − 561
\item use your editor
+ − 562
\item Note that white space is the way to specify blocks!
+ − 563
\item extension \typ{.py}
+ − 564
\item run with \texttt{python hello.py} at the command line
+ − 565
\item in IPython\ldots
+ − 566
\end{itemize}
+ − 567
\end{frame}
+ − 568
+ − 569
\begin{frame}[fragile]
+ − 570
\frametitle{\typ{If...elif...else} example}
+ − 571
\begin{lstlisting}
+ − 572
x = int(raw_input("Enter an integer:"))
+ − 573
if x < 0:
+ − 574
print 'Be positive!'
+ − 575
elif x == 0:
+ − 576
print 'Zero'
+ − 577
elif x == 1:
+ − 578
print 'Single'
+ − 579
else:
+ − 580
print 'More'
+ − 581
\end{lstlisting}
+ − 582
\end{frame}
+ − 583
+ − 584
\begin{frame}{Simple IO}
+ − 585
\begin{block}
+ − 586
{Console Input}
+ − 587
\texttt{raw\_input(}) waits for user input.\\Prompt string is optional.\\
+ − 588
All keystrokes are Strings!\\\texttt{int()} converts string to int.
+ − 589
\end{block}
+ − 590
\begin{block}
+ − 591
{Console output}
+ − 592
\texttt{print} is straight forward. Major point to remember is the distinction between \texttt{print x} and \texttt{print x,}
+ − 593
\end{block}
+ − 594
\end{frame}
+ − 595
+ − 596
\begin{frame}[fragile]
+ − 597
\frametitle{Basic looping}
+ − 598
\begin{lstlisting}
+ − 599
# Fibonacci series:
+ − 600
# the sum of two elements
+ − 601
# defines the next
+ − 602
a, b = 0, 1
+ − 603
while b < 10:
+ − 604
print b,
+ − 605
a, b = b, a + b
+ − 606
+ − 607
\end{lstlisting}
+ − 608
\typ{1 1 2 3 5 8}\\
+ − 609
\alert{Recall it is easy to write infinite loops with \kwrd{while}}
+ − 610
\inctime{20}
+ − 611
\end{frame}
+ − 612
+ − 613
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 614
% TIME: 20 m, running 80m
+ − 615
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 616
+ − 617
\begin{frame}
+ − 618
\frametitle{Problem set 1}
+ − 619
\begin{itemize}
+ − 620
\item All the problems can be\\
+ − 621
solved using \kwrd{if} and \kwrd{while}
+ − 622
\end{itemize}
+ − 623
\end{frame}
+ − 624
+ − 625
\begin{frame}{Problem 1.1}
+ − 626
Write a program that displays all three digit numbers that are equal to the sum of the cubes of their digits. That is, print numbers $abc$ that have the property $abc = a^3 + b^3 + c^3$\\
+ − 627
These are called $Armstrong$ numbers.
+ − 628
\end{frame}
+ − 629
+ − 630
\begin{frame}{Problem 1.2 - Collatz sequence}
+ − 631
\begin{enumerate}
+ − 632
\item Start with an arbitrary (positive) integer.
+ − 633
\item If the number is even, divide by 2; if the number is odd multiply by 3 and add 1.
+ − 634
\item Repeat the procedure with the new number.
+ − 635
\item It appears that for all starting values there is a cycle of 4, 2, 1 at which the procedure loops.
+ − 636
\end{enumerate}
+ − 637
Write a program that accepts the starting value and prints out the Collatz sequence.
+ − 638
+ − 639
\end{frame}
+ − 640
+ − 641
\begin{frame}{Problem 1.3 - Kaprekar's constant}
+ − 642
\begin{enumerate}
+ − 643
\item Take a four digit number--with at least two digits different.
+ − 644
\item Arrange the digits in ascending and descending order, giving A and D respectively.
+ − 645
\item Leave leading zeros in A!
+ − 646
\item Subtract A from D.
+ − 647
\item With the result, repeat from step 2.
+ − 648
\end{enumerate}
+ − 649
Write a program to accept a 4-digit number and display the progression to Kaprekar's constant.
+ − 650
\end{frame}
+ − 651
+ − 652
\begin{frame}[fragile]{Problem 1.4}
+ − 653
Write a program that prints the following pyramid on the screen.
+ − 654
\begin{lstlisting}
+ − 655
1
+ − 656
2 2
+ − 657
3 3 3
+ − 658
4 4 4 4
+ − 659
\end{lstlisting}
+ − 660
The number of lines must be obtained from the user as input.\\
+ − 661
\pause
+ − 662
When can your code fail?
+ − 663
\only<2->{\inctime{25}}
+ − 664
\end{frame}
+ − 665
+ − 666
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 667
% TIME: 25 m, running 105m
+ − 668
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 669
+ − 670
\subsection{Functions}
+ − 671
\begin{frame}[fragile]
+ − 672
\frametitle{Functions: examples}
+ − 673
\begin{lstlisting}
+ − 674
def signum( r ):
+ − 675
"""returns 0 if r is zero
+ − 676
-1 if r is negative
+ − 677
+1 if r is positive"""
+ − 678
if r < 0:
+ − 679
return -1
+ − 680
elif r > 0:
+ − 681
return 1
+ − 682
else:
+ − 683
return 0
+ − 684
\end{lstlisting}
+ − 685
\end{frame}
+ − 686
+ − 687
\begin{frame}[fragile]
+ − 688
\frametitle{Functions: examples}
+ − 689
\begin{lstlisting}
+ − 690
def pad( n, size ):
+ − 691
"""pads integer n with spaces
+ − 692
into a string of length size
+ − 693
"""
+ − 694
SPACE = ' '
+ − 695
s = str( n )
+ − 696
padSize = size - len( s )
+ − 697
return padSize * SPACE + s
+ − 698
\end{lstlisting}
+ − 699
\pause
+ − 700
What about \%3d?
+ − 701
\end{frame}
+ − 702
+ − 703
\begin{frame}[fragile]
+ − 704
{What does this function do?}
+ − 705
\begin{lstlisting}
+ − 706
def what( n ):
+ − 707
if n < 0: n = -n
+ − 708
while n > 0:
+ − 709
if n % 2 == 1:
+ − 710
return False
+ − 711
n /= 10
+ − 712
return True
+ − 713
\end{lstlisting}
+ − 714
\end{frame}
+ − 715
+ − 716
\begin{frame}[fragile]
+ − 717
{What does this function do?}
+ − 718
\begin{lstlisting}
+ − 719
def what( n ):
+ − 720
i = 1
+ − 721
while i * i < n:
+ − 722
i += 1
+ − 723
return i * i == n, i
+ − 724
\end{lstlisting}
+ − 725
\end{frame}
+ − 726
+ − 727
\begin{frame}[fragile]
+ − 728
{What does this function do?}
+ − 729
\begin{lstlisting}
+ − 730
def what( n, x ):
+ − 731
z = 1.0
+ − 732
if n < 0:
+ − 733
x = 1.0 / x
+ − 734
n = -n
+ − 735
while n > 0:
+ − 736
if n % 2 == 1:
+ − 737
z *= x
+ − 738
n /= 2
+ − 739
x *= x
+ − 740
return z
+ − 741
\end{lstlisting}
+ − 742
\end{frame}
+ − 743
+ − 744
\begin{frame}
+ − 745
{Before writing a function}
+ − 746
\begin{itemize}
+ − 747
\item Builtin functions for various and sundry
+ − 748
\item \typ{abs, any, all, len, max, min}
+ − 749
\item \typ{pow, range, sum, type}
+ − 750
\item Refer here:
+ − 751
\url{http://docs.python.org/library/functions.html}
+ − 752
\end{itemize}
+ − 753
\inctime{15}
+ − 754
\end{frame}
+ − 755
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 756
% TIME: 15 m, running 120m
+ − 757
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 758
+ − 759
\begin{frame}{Problem set 2}
+ − 760
The focus is on writing functions and calling them.
+ − 761
\end{frame}
+ − 762
+ − 763
\begin{frame}{Problem 2.1}
+ − 764
Write a function to return the gcd of two numbers.
+ − 765
\end{frame}
+ − 766
+ − 767
\begin{frame}{Problem 2.2}
+ − 768
A pythagorean triad $(a,b,c)$ has the property $a^2 + b^2 = c^2$.\\By primitive we mean triads that do not `depend' on others. For example, (4,3,5) is a variant of (3,4,5) and hence is not primitive. And (10,24,26) is easily derived from (5,12,13) and should not be displayed by our program. \\
+ − 769
Write a program to print primitive pythagorean triads. The program should generate all triads with a, b values in the range 0---100
+ − 770
\end{frame}
+ − 771
+ − 772
\begin{frame}{Problem 2.3}
+ − 773
Write a program that generates a list of all four digit numbers that have all their digits even and are perfect squares.\\For example, the output should include 6400 but not 8100 (one digit is odd) or 4248 (not a perfect square).
+ − 774
\end{frame}
+ − 775
+ − 776
\begin{frame}{Problem 2.4}
+ − 777
The aliquot of a number is defined as: the sum of the \emph{proper} divisors of the number. For example, the aliquot(12) = 1 + 2 + 3 + 4 + 6 = 16.\\
+ − 778
Write a function that returns the aliquot number of a given number.
+ − 779
\end{frame}
+ − 780
+ − 781
\begin{frame}{Problem 2.5}
+ − 782
A pair of numbers (a, b) is said to be \alert{amicable} if the aliquot number of a is b and the aliquot number of b is a.\\
+ − 783
Example: \texttt{220, 284}\\
+ − 784
Write a program that prints all five digit amicable pairs.
+ − 785
\inctime{30}
+ − 786
\end{frame}
+ − 787
+ − 788
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 789
% TIME: 30 m, running 150m
+ − 790
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 791
+ − 792
\subsection{Lists}
+ − 793
+ − 794
\begin{frame}[fragile]
+ − 795
\frametitle{List creation and indexing}
+ − 796
\begin{lstlisting}
+ − 797
>>> a = [] # An empty list.
+ − 798
>>> a = [1, 2, 3, 4] # More useful.
+ − 799
>>> len(a)
+ − 800
4
+ − 801
>>> a[0] + a[1] + a[2] + a[-1]
+ − 802
10
+ − 803
\end{lstlisting}
+ − 804
\begin{itemize}
+ − 805
\item Indices start with ?
+ − 806
\item Negative indices indicate ?
+ − 807
\end{itemize}
+ − 808
\end{frame}
+ − 809
+ − 810
\begin{frame}[fragile]
+ − 811
\frametitle{List: slices}
+ − 812
\begin{itemize}
+ − 813
\item Slicing is a basic operation
+ − 814
\item \typ{list[initial:final:step]}
+ − 815
\item The step is optional
+ − 816
\end{itemize}
+ − 817
\begin{lstlisting}
+ − 818
>>> a[1:3] # A slice.
+ − 819
[2, 3]
+ − 820
>>> a[1:-1]
+ − 821
[2, 3, 4]
+ − 822
>>> a[1:] == a[1:-1]
+ − 823
False
+ − 824
\end{lstlisting}
+ − 825
Explain last result
+ − 826
\end{frame}
+ − 827
+ − 828
\begin{frame}[fragile]
+ − 829
\frametitle{List: more slices}
+ − 830
\begin{lstlisting}
+ − 831
>>> a[0:-1:2] # Notice the step!
+ − 832
[1, 3]
+ − 833
>>> a[::2]
+ − 834
[1, 3]
+ − 835
>>> a[-1::-1]
+ − 836
\end{lstlisting}
+ − 837
What do you think the last one will do?
+ − 838
\emphbar{Note: Strings also use same indexing and slicing.}
+ − 839
\end{frame}
+ − 840
+ − 841
\begin{frame}[fragile]
+ − 842
\frametitle{List: examples}
+ − 843
\begin{lstlisting}
+ − 844
>>> a = [1, 2, 3, 4]
+ − 845
>>> a[:2]
+ − 846
[1, 3]
+ − 847
>>> a[0:-1:2]
+ − 848
[1, 3]
+ − 849
\end{lstlisting}
+ − 850
\pause
+ − 851
\alert{Lists are mutable (unlike strings)}
+ − 852
\begin{lstlisting}
+ − 853
>>> a[1] = 20
+ − 854
>>> a
+ − 855
[1, 20, 3, 4]
+ − 856
\end{lstlisting}
+ − 857
\end{frame}
+ − 858
+ − 859
\begin{frame}[fragile]
+ − 860
\frametitle{Lists are mutable and heterogenous}
+ − 861
\begin{lstlisting}
+ − 862
>>> a = ['spam', 'eggs', 100, 1234]
+ − 863
>>> a[2] = a[2] + 23
+ − 864
>>> a
+ − 865
['spam', 'eggs', 123, 1234]
+ − 866
>>> a[0:2] = [1, 12] # Replace items
+ − 867
>>> a
+ − 868
[1, 12, 123, 1234]
+ − 869
>>> a[0:2] = [] # Remove items
+ − 870
>>> a.append( 12345 )
+ − 871
>>> a
+ − 872
[123, 1234, 12345]
+ − 873
\end{lstlisting}
+ − 874
\end{frame}
+ − 875
+ − 876
\begin{frame}[fragile]
+ − 877
\frametitle{List methods}
+ − 878
\begin{lstlisting}
+ − 879
>>> a = ['spam', 'eggs', 1, 12]
+ − 880
>>> a.reverse() # in situ
+ − 881
>>> a
+ − 882
[12, 1, 'eggs', 'spam']
+ − 883
>>> a.append(['x', 1])
+ − 884
>>> a
+ − 885
[12, 1, 'eggs', 'spam', ['x', 1]]
+ − 886
>>> a.extend([1,2]) # Extend the list.
+ − 887
>>> a.remove( 'spam' )
+ − 888
>>> a
+ − 889
[12, 1, 'eggs', ['x', 1], 1, 2]
+ − 890
\end{lstlisting}
+ − 891
\end{frame}
+ − 892
+ − 893
\begin{frame}[fragile]
+ − 894
\frametitle{List containership}
+ − 895
\begin{lstlisting}
+ − 896
>>> a = ['cat', 'dog', 'rat', 'croc']
+ − 897
>>> 'dog' in a
+ − 898
True
+ − 899
>>> 'snake' in a
+ − 900
False
+ − 901
>>> 'snake' not in a
+ − 902
True
+ − 903
>>> 'ell' in 'hello world'
+ − 904
True
+ − 905
\end{lstlisting}
+ − 906
\end{frame}
+ − 907
+ − 908
\begin{frame}[fragile]
+ − 909
\frametitle{Tuples: immutable}
+ − 910
\begin{lstlisting}
+ − 911
>>> t = (0, 1, 2)
+ − 912
>>> print t[0], t[1], t[2], t[-1]
+ − 913
0 1 2 2
+ − 914
>>> t[0] = 1
+ − 915
Traceback (most recent call last):
+ − 916
File "<stdin>", line 1, in ?
+ − 917
TypeError: object does not support item
+ − 918
assignment
+ − 919
\end{lstlisting}
+ − 920
\begin{itemize}
+ − 921
\item Multiple return values are actually a tuple.
+ − 922
\item Exchange is tuple (un)packing
+ − 923
\end{itemize}
+ − 924
+ − 925
\end{frame}
+ − 926
+ − 927
\begin{frame}[fragile]
+ − 928
\frametitle{\typ{range()} function}
+ − 929
\begin{lstlisting}
+ − 930
>>> range(7)
+ − 931
[0, 1, 2, 3, 4, 5, 6]
+ − 932
>>> range( 3, 9)
+ − 933
[3, 4, 5, 6, 7, 8]
+ − 934
>>> range( 4, 17, 3)
+ − 935
[4, 7, 10, 13, 16]
+ − 936
>>> range( 5, 1, -1)
+ − 937
[5, 4, 3, 2]
+ − 938
>>> range( 8, 12, -1)
+ − 939
[]
+ − 940
\end{lstlisting}
+ − 941
\end{frame}
+ − 942
+ − 943
\begin{frame}[fragile]
+ − 944
\frametitle{\typ{for\ldots range(\ldots)} idiom}
+ − 945
\begin{lstlisting}
+ − 946
In [83]: for i in range(5):
+ − 947
....: print i, i * i
+ − 948
....:
+ − 949
....:
+ − 950
0 0
+ − 951
1 1
+ − 952
2 4
+ − 953
3 9
+ − 954
4 16
+ − 955
\end{lstlisting}
+ − 956
\end{frame}
+ − 957
+ − 958
\begin{frame}[fragile]
+ − 959
\frametitle{\typ{for}: the list companion}
+ − 960
+ − 961
\begin{lstlisting}
+ − 962
In [84]: a = ['a', 'b', 'c']
+ − 963
In [85]: for x in a:
+ − 964
....: print x, chr( ord(x) + 10 )
+ − 965
....:
+ − 966
a k
+ − 967
b l
+ − 968
c m
+ − 969
\end{lstlisting}
+ − 970
Iterating over the list and not the index + reference\\
+ − 971
what if you want the index?
+ − 972
\end{frame}
+ − 973
+ − 974
\begin{frame}[fragile]
+ − 975
\frametitle{\typ{for}: the list companion}
+ − 976
\begin{lstlisting}
+ − 977
In [89]: for p, ch in enumerate( a ):
+ − 978
....: print p, ch
+ − 979
....:
+ − 980
....:
+ − 981
0 a
+ − 982
1 b
+ − 983
2 c
+ − 984
\end{lstlisting}
+ − 985
Try: \typ{print enumerate(a)}
+ − 986
\inctime{20}
+ − 987
\end{frame}
+ − 988
+ − 989
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 990
% TIME: 20 m, running 170m
+ − 991
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 992
+ − 993
\begin{frame}
+ − 994
{Problem set 3}
+ − 995
As you can guess, idea is to use \kwrd{for}!
+ − 996
\end{frame}
+ − 997
+ − 998
\begin{frame}{Problem 3.1}
+ − 999
Which of the earlier problems is simpler when we use \kwrd{for} instead of \kwrd{while}?
+ − 1000
\end{frame}
+ − 1001
+ − 1002
\begin{frame}{Problem 3.2}
+ − 1003
Given an empty chessboard and one Bishop placed in any square, say (r, c), generate the list of all squares the Bishop could move to.
+ − 1004
\end{frame}
+ − 1005
+ − 1006
\begin{frame}[fragile]
+ − 1007
\frametitle{Problem 3.3}
+ − 1008
+ − 1009
Given two real numbers \typ{a, b}, and an integer \typ{N}, write a
+ − 1010
function named \typ{linspace( a, b, N)} that returns an ordered list
+ − 1011
of \typ{N} points starting with \typ{a} and ending in \typ{b} and
+ − 1012
equally spaced.\\
+ − 1013
+ − 1014
For example, \typ{linspace(0, 5, 11)}, should return, \\
+ − 1015
\begin{lstlisting}
+ − 1016
[ 0.0 , 0.5, 1.0 , 1.5, 2.0 , 2.5,
+ − 1017
3.0 , 3.5, 4.0 , 4.5, 5.0 ]
+ − 1018
\end{lstlisting}
+ − 1019
\end{frame}
+ − 1020
+ − 1021
\begin{frame}[fragile]
+ − 1022
\frametitle{Problem 3.4a (optional)}
+ − 1023
+ − 1024
Use the \typ{linspace} function and generate a list of N tuples of the form\\
+ − 1025
\typ{[($x_1$,f($x_1$)),($x_2$,f($x_2$)),\ldots,($x_N$,f($x_N$))]}\\for the following functions,\begin{itemize}
+ − 1026
\item \typ{f(x) = sin(x)}
+ − 1027
\item \typ{f(x) = sin(x) + sin(10*x)}.
+ − 1028
\end{itemize}
+ − 1029
\end{frame}
+ − 1030
+ − 1031
\begin{frame}[fragile]
+ − 1032
\frametitle{Problem 3.4b (optional)}
+ − 1033
+ − 1034
Using the tuples generated earlier, determine the intervals where the roots of the functions lie.
+ − 1035
+ − 1036
\inctime{15}
+ − 1037
\end{frame}
+ − 1038
+ − 1039
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 1040
% TIME: 15 m, running 185m
+ − 1041
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 1042
+ − 1043
\subsection{IO}
+ − 1044
+ − 1045
\begin{frame}[fragile]
+ − 1046
\frametitle{Simple tokenizing and parsing}
+ − 1047
\begin{lstlisting}
+ − 1048
s = """The quick brown fox jumped
+ − 1049
over the lazy dog"""
+ − 1050
for word in s.split():
+ − 1051
print word.capitalize()
+ − 1052
\end{lstlisting}
+ − 1053
\end{frame}
+ − 1054
+ − 1055
\begin{frame}[fragile]
+ − 1056
\frametitle{Problem 4.1}
+ − 1057
Given a string like, ``1, 3-7, 12, 15, 18-21'', produce the list \\
+ − 1058
\begin{lstlisting}
+ − 1059
[1,3,4,5,6,7,12,15,18,19,20,21]
+ − 1060
\end{lstlisting}
+ − 1061
\end{frame}
+ − 1062
+ − 1063
\begin{frame}[fragile]
+ − 1064
\frametitle{File handling}
+ − 1065
\begin{lstlisting}
+ − 1066
>>> f = open('/path/to/file_name')
+ − 1067
>>> data = f.read() # Read entire file.
+ − 1068
>>> line = f.readline() # Read one line.
+ − 1069
>>> f.close() # close the file.
+ − 1070
\end{lstlisting}
+ − 1071
Writing files
+ − 1072
\begin{lstlisting}
+ − 1073
>>> f = open('/path/to/file_name', 'w')
+ − 1074
>>> f.write('hello world\n')
+ − 1075
>>> f.close()
+ − 1076
\end{lstlisting}
+ − 1077
\begin{itemize}
+ − 1078
\item Everything read or written is a string
+ − 1079
\end{itemize}
+ − 1080
\emphbar{Try \typ{file?} for more help}
+ − 1081
\end{frame}
+ − 1082
+ − 1083
\begin{frame}[fragile]
+ − 1084
\frametitle{File and \kwrd{for}}
+ − 1085
\begin{lstlisting}
+ − 1086
>>> f = open('/path/to/file_name')
+ − 1087
>>> for line in f:
+ − 1088
... print line
+ − 1089
...
+ − 1090
\end{lstlisting}
+ − 1091
\end{frame}
+ − 1092
+ − 1093
\begin{frame}{Problem 4.2}
+ − 1094
The given file has lakhs of records in the form:\\
+ − 1095
\typ{RGN;ID;NAME;MARK1;\ldots;MARK5;TOTAL;PFW}\\
+ − 1096
Some entries may be empty. Read the data from this file and print the
+ − 1097
name of the student with the maximum total marks.
+ − 1098
\end{frame}
+ − 1099
+ − 1100
\begin{frame}{Problem 4.3}
+ − 1101
For the same data file compute the average marks in different
+ − 1102
subjects, the student with the maximum mark in each subject and also
+ − 1103
the standard deviation of the marks. Do this efficiently.
+ − 1104
+ − 1105
\inctime{20}
+ − 1106
\end{frame}
+ − 1107
+ − 1108
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 1109
% TIME: 20 m, running 205m
+ − 1110
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 1111
+ − 1112
\subsection{Modules}
+ − 1113
+ − 1114
\begin{frame}[fragile]
+ − 1115
{Modules}
+ − 1116
\begin{lstlisting}
+ − 1117
>>> sqrt(2)
+ − 1118
Traceback (most recent call last):
+ − 1119
File "<stdin>", line 1, in <module>
+ − 1120
NameError: name 'sqrt' is not defined
+ − 1121
>>> import math
+ − 1122
>>> math.sqrt(2)
+ − 1123
1.4142135623730951
+ − 1124
\end{lstlisting}
+ − 1125
\end{frame}
+ − 1126
+ − 1127
\begin{frame}[fragile]
+ − 1128
{Modules}
+ − 1129
\begin{itemize}
+ − 1130
\item The \kwrd{import} keyword ``loads'' a module
+ − 1131
\item One can also use:
+ − 1132
\begin{lstlisting}
+ − 1133
>>> from math import sqrt
+ − 1134
>>> from math import *
+ − 1135
\end{lstlisting}
+ − 1136
\item What is the difference?
+ − 1137
\item \alert{Use the later only in interactive mode}
+ − 1138
\end{itemize}
+ − 1139
\emphbar{Package hierarchies}
+ − 1140
\begin{lstlisting}
+ − 1141
>>> from os.path import exists
+ − 1142
\end{lstlisting}
+ − 1143
\end{frame}
+ − 1144
+ − 1145
\begin{frame}
+ − 1146
\frametitle{Modules: Standard library}
+ − 1147
\begin{itemize}
+ − 1148
\item Very powerful, ``Batteries included''
+ − 1149
\item Some standard modules:
+ − 1150
\begin{itemize}
+ − 1151
\item Math: \typ{math}, \typ{random}
+ − 1152
\item Internet access: \typ{urllib2}, \typ{smtplib}
+ − 1153
\item System, Command line arguments: \typ{sys}
+ − 1154
\item Operating system interface: \typ{os}
+ − 1155
\item Regular expressions: \typ{re}
+ − 1156
\item Compression: \typ{gzip}, \typ{zipfile}, and \typ{tarfile}
+ − 1157
\item And a whole lot more!
+ − 1158
\end{itemize}
+ − 1159
\item Check out the Python Library reference:
+ − 1160
\url{http://docs.python.org/library/}
+ − 1161
\end{itemize}
+ − 1162
\end{frame}
+ − 1163
+ − 1164
\begin{frame}[fragile]
+ − 1165
{Modules of special interest}
+ − 1166
\begin{description}[matplotlibfor2d]
+ − 1167
+ − 1168
\item[\typ{numpy}] Efficient, powerful numeric arrays
+ − 1169
+ − 1170
\item[\typ{matplotlib}] Easy, interactive, 2D plotting
+ − 1171
+ − 1172
\item[\typ{scipy}] statistics, optimization, integration, linear
+ − 1173
algebra, Fourier transforms, signal and image processing,
+ − 1174
genetic algorithms, ODE solvers, special functions, and more
+ − 1175
+ − 1176
\item[Mayavi] Easy, interactive, 3D plotting
+ − 1177
+ − 1178
\end{description}
+ − 1179
\end{frame}
+ − 1180
+ − 1181
\begin{frame}[fragile]
+ − 1182
{Creating your own modules}
+ − 1183
\begin{itemize}
+ − 1184
\item Define variables, functions and classes in a file with a
+ − 1185
\typ{.py} extension
+ − 1186
\item This file becomes a module!
+ − 1187
\item Accessible when in the current directory
+ − 1188
\item Use \typ{cd} in IPython to change directory
+ − 1189
+ − 1190
\item Naming your module
+ − 1191
\end{itemize}
+ − 1192
\end{frame}
+ − 1193
+ − 1194
\begin{frame}[fragile]
+ − 1195
\frametitle{Modules: example}
+ − 1196
\begin{lstlisting}
+ − 1197
# --- arith.py ---
+ − 1198
def gcd(a, b):
+ − 1199
if a%b == 0: return b
+ − 1200
return gcd(b, a%b)
+ − 1201
def lcm(a, b):
+ − 1202
return a*b/gcd(a, b)
+ − 1203
# ------------------
+ − 1204
>>> import arith
+ − 1205
>>> arith.gcd(26, 65)
+ − 1206
13
+ − 1207
>>> arith.lcm(26, 65)
+ − 1208
130
+ − 1209
\end{lstlisting}
+ − 1210
\end{frame}
+ − 1211
+ − 1212
\begin{frame}[fragile]
+ − 1213
\frametitle{Problem 5.1}
+ − 1214
+ − 1215
Put all the functions you have written so far as part of the problems
+ − 1216
into one module called \typ{iitb.py} and use this module from IPython.
+ − 1217
+ − 1218
\inctime{20}
+ − 1219
\end{frame}
+ − 1220
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 1221
% TIME: 20 m, running 225m
+ − 1222
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ − 1223
+ − 1224
\begin{frame}
+ − 1225
\frametitle{Did we meet the goal?}
+ − 1226
\tableofcontents
+ − 1227
% You might wish to add the option [pausesections]
+ − 1228
\end{frame}
+ − 1229
+ − 1230
\begin{frame}
+ − 1231
{Tomorrow}
+ − 1232
\begin{itemize}
+ − 1233
\item Plotting: 2D, 3D
+ − 1234
\item NumPy, SciPy
+ − 1235
\item Dictionary, Set
+ − 1236
\item Debugging
+ − 1237
\item Testing
+ − 1238
\item \ldots
+ − 1239
\end{itemize}
+ − 1240
11:30--13:00 Discussion of answers to problems OPTIONAL
+ − 1241
\end{frame}
+ − 1242
\end{document}
+ − 1243
+ − 1244
+ − 1245
\begin{frame}[fragile]
+ − 1246
\frametitle{More on functions}
+ − 1247
\begin{itemize}
+ − 1248
\item Support default and keyword arguments
+ − 1249
\item Scope of variables in the function is local
+ − 1250
\item Mutable items are \alert{passed by reference}
+ − 1251
\item First line after definition may be a documentation string
+ − 1252
(\alert{recommended!})
+ − 1253
\item Function definition and execution defines a name bound to the
+ − 1254
function
+ − 1255
\item You \emph{can} assign a variable to a function!
+ − 1256
\end{itemize}
+ − 1257
\end{frame}
+ − 1258
+ − 1259
+ − 1260
\begin{frame}[fragile]
+ − 1261
\frametitle{Functions: default arguments}
+ − 1262
\begin{lstlisting}
+ − 1263
def ask_ok(prompt, retries=4, complaint='Yes or no!'):
+ − 1264
while True:
+ − 1265
ok = raw_input(prompt)
+ − 1266
if ok in ('y', 'ye', 'yes'):
+ − 1267
return True
+ − 1268
if ok in ('n', 'no', 'nop', 'nope'):
+ − 1269
return False
+ − 1270
retries = retries - 1
+ − 1271
if retries < 0:
+ − 1272
raise IOError, 'bad user'
+ − 1273
print complaint
+ − 1274
\end{lstlisting}
+ − 1275
\end{frame}
+ − 1276
+ − 1277
\begin{frame}[fragile]
+ − 1278
\frametitle{Functions: keyword arguments}
+ − 1279
\begin{lstlisting}
+ − 1280
def parrot(voltage, state='a stiff',
+ − 1281
action='voom', type='Norwegian Blue'):
+ − 1282
print "-- This parrot wouldn't", action,
+ − 1283
print "if you put", voltage, "Volts through it."
+ − 1284
print "-- Lovely plumage, the", type
+ − 1285
print "-- It's", state, "!"
+ − 1286
+ − 1287
parrot(1000)
+ − 1288
parrot(action = 'VOOOOOM', voltage = 1000000)
+ − 1289
parrot('a thousand', state = 'pushing up the daisies')
+ − 1290
parrot('a million', 'bereft of life', 'jump')
+ − 1291
\end{lstlisting}
+ − 1292
\end{frame}
+ − 1293
+ − 1294
\begin{frame}[fragile]
+ − 1295
\frametitle{Functions: arbitrary argument lists}
+ − 1296
\begin{itemize}
+ − 1297
\item Arbitrary number of arguments using \verb+*args+ or
+ − 1298
\verb+*whatever+
+ − 1299
\item Keyword arguments using \verb+**kw+
+ − 1300
\item Given a tuple/dict how do you call a function?
+ − 1301
\begin{itemize}
+ − 1302
\item Using argument unpacking
+ − 1303
\item For positional arguments: \verb+foo(*[5, 10])+
+ − 1304
\item For keyword args: \verb+foo(**{'a':5, 'b':10})+
+ − 1305
\end{itemize}
+ − 1306
\end{itemize}
+ − 1307
\begin{lstlisting}
+ − 1308
def foo(a=10, b=100):
+ − 1309
print a, b
+ − 1310
def func(*args, **keyword):
+ − 1311
print args, keyword
+ − 1312
# Unpacking:
+ − 1313
args = [5, 10]
+ − 1314
foo(*args)
+ − 1315
kw = {'a':5, 'b':10}
+ − 1316
foo(**kw)
+ − 1317
\end{lstlisting}
+ − 1318
\end{frame}
+ − 1319
+ − 1320
\subsection{Modules, exceptions, classes}
+ − 1321
+ − 1322
\begin{frame}
+ − 1323
\frametitle{Modules}
+ − 1324
\begin{itemize}
+ − 1325
\item Define variables, functions and classes in a file with a
+ − 1326
\typ{.py} extension
+ − 1327
\item This file becomes a module!
+ − 1328
\item Modules are searched in the following:
+ − 1329
\begin{itemize}
+ − 1330
\item Current directory
+ − 1331
\item Standard: \typ{/usr/lib/python2.3/site-packages/} etc.
+ − 1332
\item Directories specified in PYTHONPATH
+ − 1333
\item \typ{sys.path}: current path settings (from the \typ{sys}
+ − 1334
module)
+ − 1335
\end{itemize}
+ − 1336
\item The \typ{import} keyword ``loads'' a module
+ − 1337
\item One can also use:
+ − 1338
\mbox{\typ{from module import name1, name2, name2}}\\
+ − 1339
where \typ{name1} etc. are names in the module, ``module''
+ − 1340
\item \typ{from module import *} \ --- imports everything from module,
+ − 1341
\alert{use only in interactive mode}
+ − 1342
\end{itemize}
+ − 1343
\end{frame}
+ − 1344
+ − 1345
\begin{frame}[fragile]
+ − 1346
\frametitle{Modules: example}
+ − 1347
\begin{lstlisting}
+ − 1348
# --- foo.py ---
+ − 1349
some_var = 1
+ − 1350
def fib(n): # write Fibonacci series up to n
+ − 1351
"""Print a Fibonacci series up to n."""
+ − 1352
a, b = 0, 1
+ − 1353
while b < n:
+ − 1354
print b,
+ − 1355
a, b = b, a+b
+ − 1356
# EOF
+ − 1357
+ − 1358
>>> import foo
+ − 1359
>>> foo.fib(10)
+ − 1360
1 1 2 3 5 8
+ − 1361
>>> foo.some_var
+ − 1362
1
+ − 1363
\end{lstlisting}
+ − 1364
\end{frame}
+ − 1365
+ − 1366
\begin{frame}[fragile]
+ − 1367
\frametitle{Namespaces}
+ − 1368
\begin{itemize}
+ − 1369
\item A mapping from names to objects
+ − 1370
\item Modules introduce a namespace
+ − 1371
\item So do classes
+ − 1372
\item The running script's namespace is \verb+__main__+
+ − 1373
\item A modules namespace is identified by its name
+ − 1374
\item The standard functions (like \typ{len}) are in the
+ − 1375
\verb+__builtin__+ namespace
+ − 1376
\item Namespaces help organize different names and their bindings to
+ − 1377
different objects
+ − 1378
\end{itemize}
+ − 1379
\end{frame}
+ − 1380
+ − 1381
\begin{frame}
+ − 1382
\frametitle{Exceptions}
+ − 1383
\begin{itemize}
+ − 1384
\item Python's way of notifying you of errors
+ − 1385
\item Several standard exceptions: \typ{SyntaxError}, \typ{IOError}
+ − 1386
etc.
+ − 1387
\item Users can also \typ{raise} errors
+ − 1388
\item Users can create their own exceptions
+ − 1389
\item Exceptions can be ``caught'' via \typ{try/except} blocks
+ − 1390
\end{itemize}
+ − 1391
\end{frame}
+ − 1392
+ − 1393
\begin{frame}[fragile]
+ − 1394
\frametitle{Exception: examples}
+ − 1395
\begin{lstlisting}
+ − 1396
>>> 10 * (1/0)
+ − 1397
Traceback (most recent call last):
+ − 1398
File "<stdin>", line 1, in ?
+ − 1399
ZeroDivisionError: integer division or modulo by zero
+ − 1400
>>> 4 + spam*3
+ − 1401
Traceback (most recent call last):
+ − 1402
File "<stdin>", line 1, in ?
+ − 1403
NameError: name 'spam' is not defined
+ − 1404
>>> '2' + 2
+ − 1405
Traceback (most recent call last):
+ − 1406
File "<stdin>", line 1, in ?
+ − 1407
TypeError: cannot concatenate 'str' and 'int' objects
+ − 1408
\end{lstlisting}
+ − 1409
\end{frame}
+ − 1410
+ − 1411
\begin{frame}[fragile]
+ − 1412
\frametitle{Exception: examples}
+ − 1413
\begin{lstlisting}
+ − 1414
>>> while True:
+ − 1415
... try:
+ − 1416
... x = int(raw_input("Enter a number: "))
+ − 1417
... break
+ − 1418
... except ValueError:
+ − 1419
... print "Invalid number, try again..."
+ − 1420
...
+ − 1421
>>> # To raise exceptions
+ − 1422
... raise ValueError, "your error message"
+ − 1423
Traceback (most recent call last):
+ − 1424
File "<stdin>", line 2, in ?
+ − 1425
ValueError: your error message
+ − 1426
\end{lstlisting}
+ − 1427
\end{frame}
+ − 1428
+ − 1429
\begin{frame}[fragile]
+ − 1430
\frametitle{Classes: the big picture}
+ − 1431
\begin{itemize}
+ − 1432
\item Lets you create new data types
+ − 1433
\item Class is a template for an object belonging to that class
+ − 1434
\item Note: in Python a class is also an object
+ − 1435
\item Instantiating a class creates an instance (an object)
+ − 1436
\item An instance encapsulates the state (data) and behavior
+ − 1437
(methods)
+ − 1438
\item Allows you to define an inheritance hierarchy
+ − 1439
\begin{itemize}
+ − 1440
\item ``A Honda car \alert{is a} car.''
+ − 1441
\item ``A car \alert{is an} automobile.''
+ − 1442
\item ``A Python \alert{is a} reptile.''
+ − 1443
\end{itemize}
+ − 1444
\item Programmers need to think OO
+ − 1445
\end{itemize}
+ − 1446
\end{frame}
+ − 1447
+ − 1448
\begin{frame}[fragile]
+ − 1449
\frametitle{Classes: what's the big deal?}
+ − 1450
\begin{itemize}
+ − 1451
\item Lets you create objects that mimic a real problem being
+ − 1452
simulated
+ − 1453
\item Makes problem solving more natural and elegant
+ − 1454
\item Easier to create code
+ − 1455
\item Allows for code-reuse
+ − 1456
\item Polymorphism
+ − 1457
\end{itemize}
+ − 1458
\end{frame}
+ − 1459
+ − 1460
\begin{frame}[fragile]
+ − 1461
\frametitle{Class definition and instantiation}
+ − 1462
\begin{itemize}
+ − 1463
\item Class definitions when executed create class objects
+ − 1464
\item Instantiating the class object creates an instance of the
+ − 1465
class
+ − 1466
\end{itemize}
+ − 1467
\footnotesize
+ − 1468
\begin{lstlisting}
+ − 1469
class Foo(object):
+ − 1470
pass
+ − 1471
# class object created.
+ − 1472
# Create an instance of Foo.
+ − 1473
f = Foo()
+ − 1474
# Can assign an attribute to the instance
+ − 1475
f.a = 100
+ − 1476
print f.a
+ − 1477
100
+ − 1478
\end{lstlisting}
+ − 1479
\end{frame}
+ − 1480
+ − 1481
\begin{frame}[fragile]
+ − 1482
\frametitle{Classes \ldots}
+ − 1483
\begin{itemize}
+ − 1484
\item All attributes are accessed via the \typ{object.attribute}
+ − 1485
syntax
+ − 1486
\item Both class and instance attributes are supported
+ − 1487
\item \emph{Methods} represent the behavior of an object: crudely
+ − 1488
think of them as functions ``belonging'' to the object
+ − 1489
\item All methods in Python are ``virtual''
+ − 1490
\item Inheritance through subclassing
+ − 1491
\item Multiple inheritance is supported
+ − 1492
\item No special public and private attributes: only good
+ − 1493
conventions
+ − 1494
\begin{itemize}
+ − 1495
\item \verb+object.public()+: public
+ − 1496
\item \verb+object._private()+ \& \verb+object.__priv()+:
+ − 1497
non-public
+ − 1498
\end{itemize}
+ − 1499
\end{itemize}
+ − 1500
\end{frame}
+ − 1501
+ − 1502
\begin{frame}[fragile]
+ − 1503
\frametitle{Classes: examples}
+ − 1504
\begin{lstlisting}
+ − 1505
class MyClass(object):
+ − 1506
"""Example class (this is the class docstring)."""
+ − 1507
i = 12345 # A class attribute
+ − 1508
def f(self):
+ − 1509
"""This is the method docstring"""
+ − 1510
return 'hello world'
+ − 1511
+ − 1512
>>> a = MyClass() # creates an instance
+ − 1513
>>> a.f()
+ − 1514
'hello world'
+ − 1515
>>> # a.f() is equivalent to MyClass.f(a)
+ − 1516
... # This also explains why f has a 'self' argument.
+ − 1517
... MyClass.f(a)
+ − 1518
'hello world'
+ − 1519
\end{lstlisting}
+ − 1520
\end{frame}
+ − 1521
+ − 1522
\begin{frame}[fragile]
+ − 1523
\frametitle{Classes (continued)}
+ − 1524
\begin{itemize}
+ − 1525
\item \typ{self} is \alert{conventionally} the first argument for a
+ − 1526
method
+ − 1527
\item In previous example, \typ{a.f} is a method object
+ − 1528
\item When \typ{a.f} is called, it is passed the instance \typ{a} as
+ − 1529
the first argument
+ − 1530
\item If a method called \verb+__init__+ exists, it is called when
+ − 1531
the object is created
+ − 1532
\item If a method called \verb+__del__+ exists, it is called before
+ − 1533
the object is garbage collected
+ − 1534
\item Instance attributes are set by simply ``setting'' them in
+ − 1535
\typ{self}
+ − 1536
\item Other special methods (by convention) like \verb+__add__+ let
+ − 1537
you define numeric types:
+ − 1538
{\footnotesize \url{http://docs.python.org/ref/specialnames.html}
+ − 1539
\\ \url{http://docs.python.org/ref/numeric-types.html}
+ − 1540
}
+ − 1541
\end{itemize}
+ − 1542
\end{frame}
+ − 1543
+ − 1544
\begin{frame}[fragile]
+ − 1545
\frametitle{Classes: examples}
+ − 1546
\begin{lstlisting}
+ − 1547
class Bag(MyClass): # Shows how to derive classes
+ − 1548
def __init__(self): # called on object creation.
+ − 1549
self.data = [] # an instance attribute
+ − 1550
def add(self, x):
+ − 1551
self.data.append(x)
+ − 1552
def addtwice(self, x):
+ − 1553
self.add(x)
+ − 1554
self.add(x)
+ − 1555
>>> a = Bag()
+ − 1556
>>> a.f() # Inherited method
+ − 1557
'hello world'
+ − 1558
>>> a.add(1); a.addtwice(2)
+ − 1559
>>> a.data
+ − 1560
[1, 2, 2]
+ − 1561
\end{lstlisting}
+ − 1562
\end{frame}
+ − 1563
+ − 1564
\begin{frame}[fragile]
+ − 1565
\frametitle{Derived classes}
+ − 1566
\begin{itemize}
+ − 1567
\item Call the parent's \verb+__init__+ if needed
+ − 1568
\item If you don't need a new constructor, no need to define it in subclass
+ − 1569
\item Can also use the \verb+super+ built-in function
+ − 1570
\end{itemize}
+ − 1571
\begin{lstlisting}
+ − 1572
class AnotherBag(Bag):
+ − 1573
def __init__(self):
+ − 1574
# Must call parent's __init__ explicitly
+ − 1575
Bag.__init__(self)
+ − 1576
# Alternatively use this:
+ − 1577
super(AnotherBag, self).__init__()
+ − 1578
# Now setup any more data.
+ − 1579
self.more_data = []
+ − 1580
\end{lstlisting}
+ − 1581
\end{frame}
+ − 1582
+ − 1583
\begin{frame}[fragile]
+ − 1584
\frametitle{Classes: polymorphism}
+ − 1585
\begin{lstlisting}
+ − 1586
class Drawable(object):
+ − 1587
def draw(self):
+ − 1588
# Just a specification.
+ − 1589
pass
+ − 1590
\end{lstlisting}
+ − 1591
\mode<presentation>{\pause}
+ − 1592
\begin{lstlisting}
+ − 1593
class Square(Drawable):
+ − 1594
def draw(self):
+ − 1595
# draw a square.
+ − 1596
class Circle(Drawable):
+ − 1597
def draw(self):
+ − 1598
# draw a circle.
+ − 1599
\end{lstlisting}
+ − 1600
\mode<presentation>{\pause}
+ − 1601
\begin{lstlisting}
+ − 1602
class Artist(Drawable):
+ − 1603
def draw(self):
+ − 1604
for obj in self.drawables:
+ − 1605
obj.draw()
+ − 1606
\end{lstlisting}
+ − 1607
\end{frame}
+ − 1608
+ − 1609
\subsection{Miscellaneous}
+ − 1610
+ − 1611
\begin{frame}[fragile]
+ − 1612
\frametitle{Stand-alone scripts}
+ − 1613
Consider a file \typ{f.py}:
+ − 1614
\begin{lstlisting}
+ − 1615
#!/usr/bin/env python
+ − 1616
"""Module level documentation."""
+ − 1617
# First line tells the shell that it should use Python
+ − 1618
# to interpret the code in the file.
+ − 1619
def f():
+ − 1620
print "f"
+ − 1621
+ − 1622
# Check if we are running standalone or as module.
+ − 1623
# When imported, __name__ will not be '__main__'
+ − 1624
if __name__ == '__main__':
+ − 1625
# This is not executed when f.py is imported.
+ − 1626
f()
+ − 1627
\end{lstlisting}
+ − 1628
\end{frame}
+ − 1629
+ − 1630
\begin{frame}[fragile]
+ − 1631
\frametitle{List comprehensions}
+ − 1632
\begin{lstlisting}
+ − 1633
>>> veg = ['tomato', 'cabbage', 'carrot', 'potato']
+ − 1634
>>> [x.upper() for x in veg]
+ − 1635
['TOMATO', 'CABBAGE', 'CARROT', 'POTATO']
+ − 1636
>>> vec = range(0, 8)
+ − 1637
>>> even = [x for x in vec if x%2 == 0]
+ − 1638
>>> even
+ − 1639
[0, 2, 4, 6]
+ − 1640
>>> [x*x for x in even]
+ − 1641
[0, 4, 16, 36]
+ − 1642
>>> odd = [x for x in vec if x%2 == 1]
+ − 1643
>>> odd
+ − 1644
[1, 3, 5, 7]
+ − 1645
>>> [x*y for x in even for y in odd]
+ − 1646
[0, 0, 0, 0, 2, 6, 10, 14, 4, 12, 20, 28, 6, 18,30,42]
+ − 1647
\end{lstlisting}
+ − 1648
\end{frame}
+ − 1649
+ − 1650
\begin{frame}[fragile]
+ − 1651
\frametitle{More IPython features}
+ − 1652
\begin{itemize}
+ − 1653
\item Input and output caching:
+ − 1654
\begin{itemize}
+ − 1655
\item \verb+In+: a list of all entered input
+ − 1656
\item \verb+Out+: a dict of all output
+ − 1657
\item \verb+_+, \verb+__+, \verb+__+ are the last three results as
+ − 1658
is \verb+_N+
+ − 1659
\item \verb+%hist [-n]+ macro shows previous history, \verb+-n+
+ − 1660
suppresses line number information
+ − 1661
\end{itemize}
+ − 1662
\item Log the session using \verb+%logstart+, \verb+%logon+ and
+ − 1663
\verb+%logoff+
+ − 1664
\item \verb+%run [options] file[.py]+ -- running Python code
+ − 1665
\begin{itemize}
+ − 1666
\item \verb+%run -d [-b<N>]+: debug script with pdb
+ − 1667
\verb+N+ is the line number to break at (defaults to 1)
+ − 1668
\item \verb+%run -t+: time the script
+ − 1669
\item \verb+%run -p+: Profile the script
+ − 1670
\end{itemize}
+ − 1671
\item \verb+%prun+ runs a statement/expression under the profiler
+ − 1672
\item \verb+%macro [options] macro_name n1-n2 n3-n4 n6+ save specified
+ − 1673
lines to a macro with name \verb+macro_name+
+ − 1674
\end{itemize}
+ − 1675
\end{frame}
+ − 1676
+ − 1677
\begin{frame}[fragile]
+ − 1678
\frametitle{More IPython features \ldots}
+ − 1679
\begin{itemize}
+ − 1680
\item \verb+%edit [options] [args]+: edit lines of code or file
+ − 1681
specified in editor (configure editor via \verb+$EDITOR+)
+ − 1682
\item \verb+%cd+ changes directory, see also \verb+%pushd, %popd, %dhist+
+ − 1683
\item Shell access
+ − 1684
\begin{itemize}
+ − 1685
\item \verb+!command+ runs a shell command and returns its output
+ − 1686
\item \verb+files = %sx ls+ or \verb+files = !ls+ sets
+ − 1687
\verb+files+ to all result of the \verb+ls+ command
+ − 1688
\item \verb+%sx+ is quiet
+ − 1689
\item \verb+!ls $files+ passes the \verb+files+ variable to the
+ − 1690
shell command
+ − 1691
\item \verb+%alias alias_name cmd+ creates an alias for a system
+ − 1692
command
+ − 1693
\end{itemize}
+ − 1694
\item \verb+%colors+ lets you change the color scheme to
+ − 1695
\verb+NoColor, Linux, LightBG+
+ − 1696
\end{itemize}
+ − 1697
\end{frame}
+ − 1698
+ − 1699
\begin{frame}[fragile]
+ − 1700
\frametitle{More IPython features \ldots}
+ − 1701
\begin{itemize}
+ − 1702
\item Use \verb+;+ at the end of a statement to suppress printing
+ − 1703
output
+ − 1704
\item \verb+%bookmark+: store a bookmarked location, for use with \verb+%cd+
+ − 1705
\item \verb+%who, %whos+: print information on variables
+ − 1706
\item \verb+%save [options] filename n1-n2 n3-n4+: save lines to a
+ − 1707
file
+ − 1708
\item \verb+%time statement+: Time execution of a Python statement or
+ − 1709
expression
+ − 1710
\item \verb+%timeit [-n<N> -r<R> [-t|-c]] statement+: time execution
+ − 1711
using Python's timeit module
+ − 1712
\item Can define and use profiles to setup IPython differently:
+ − 1713
\verb+math, scipy, numeric, pysh+ etc.
+ − 1714
\item \verb+%magic+: \alert{Show help on all magics}
+ − 1715
\end{itemize}
+ − 1716
\end{frame}
+ − 1717
+ − 1718
\begin{frame}[fragile]
+ − 1719
\frametitle{File handling}
+ − 1720
\begin{lstlisting}
+ − 1721
>>> # Reading files:
+ − 1722
... f = open('/path/to/file_name')
+ − 1723
>>> data = f.read() # Read entire file.
+ − 1724
>>> line = f.readline() # Read one line.
+ − 1725
>>> # Read entire file appending each line into a list
+ − 1726
... lines = f.readlines()
+ − 1727
>>> f.close() # close the file.
+ − 1728
>>> # Writing files:
+ − 1729
... f = open('/path/to/file_name', 'w')
+ − 1730
>>> f.write('hello world\n')
+ − 1731
\end{lstlisting}
+ − 1732
\begin{itemize}
+ − 1733
\item \typ{tell()}: returns int of current position
+ − 1734
\item \typ{seek(pos)}: moves current position to specified byte
+ − 1735
\item Call \typ{close()} when done using a file
+ − 1736
\end{itemize}
+ − 1737
\end{frame}
+ − 1738
+ − 1739
\begin{frame}[fragile]
+ − 1740
\frametitle{Math}
+ − 1741
\begin{itemize}
+ − 1742
\item \typ{math} module provides basic math routines for
+ − 1743
floats
+ − 1744
\item \typ{cmath} module provides math routies for complex
+ − 1745
numbers
+ − 1746
\item \typ{random}: provides pseudo-random number generators
+ − 1747
for various distributions
+ − 1748
\item These are always available and part of the standard library
+ − 1749
\item More serious math is provided by the NumPy/SciPy modules --
+ − 1750
these are not standard and need to be installed separately
+ − 1751
\end{itemize}
+ − 1752
\end{frame}
+ − 1753
+ − 1754
\begin{frame}[fragile]
+ − 1755
\frametitle{Timing and profiling}
+ − 1756
\begin{itemize}
+ − 1757
\item Timing code: use the \typ{time} module
+ − 1758
\item Read up on \typ{time.time()} and \typ{time.clock()}
+ − 1759
\item \typ{timeit}: is a better way of doing timing
+ − 1760
\item IPython has handy \typ{time} and \typ{timeit} macros (type
+ − 1761
\typ{timeit?} for help)
+ − 1762
\item IPython lets you debug and profile code via the \typ{run}
+ − 1763
macro (type \typ{run?} on the prompt to learn more)
+ − 1764
\end{itemize}
+ − 1765
\end{frame}
+ − 1766
+ − 1767
\begin{frame}[fragile]
+ − 1768
\frametitle{Odds and ends}
+ − 1769
\begin{itemize}
+ − 1770
\item \typ{dir([object])} function: attributes of given object
+ − 1771
\item \typ{type(object)}: returns type information
+ − 1772
\item \typ{str(), repr()}: convert object to string representation
+ − 1773
\item \typ{isinstance, issubclass}
+ − 1774
\item \typ{assert} statements let you do debugging assertions in
+ − 1775
code
+ − 1776
\item \typ{csv} module: reading and writing CSV files
+ − 1777
\item \typ{pickle}: lets you save and load Python objects
+ − 1778
(\alert{serialization})
+ − 1779
\item \typ{sys.argv}: command line arguments
+ − 1780
\item \typ{os.path}: common path manipulations
+ − 1781
\item Check out the Python Library reference:
+ − 1782
\url{http://docs.python.org/lib/lib.html}
+ − 1783
\end{itemize}
+ − 1784
\end{frame}
+ − 1785
+ − 1786
\begin{frame}[fragile]
+ − 1787
\frametitle{Test driven development (TDD)}
+ − 1788
\begin{itemize}
+ − 1789
\item Why?
+ − 1790
\begin{itemize}
+ − 1791
+ − 1792
\item Forces you to write reusable code!
+ − 1793
+ − 1794
\item Think about the API
+ − 1795
+ − 1796
\item More robust
+ − 1797
+ − 1798
\item Makes refactoring very easy
+ − 1799
+ − 1800
\end{itemize}
+ − 1801
\item How? Python offers three major ways of doing this
+ − 1802
\begin{itemize}
+ − 1803
\item doctest
+ − 1804
\item unittest
+ − 1805
\item nosetest (and similar like py.test)
+ − 1806
\end{itemize}
+ − 1807
+ − 1808
\item Test every piece of functionality you offer
+ − 1809
+ − 1810
\item This isn't a formal introduction but more a practical one
+ − 1811
+ − 1812
\end{itemize}
+ − 1813
\end{frame}
+ − 1814
+ − 1815
\begin{frame}[fragile]
+ − 1816
\frametitle{Unit test}
+ − 1817
\begin{lstlisting}
+ − 1818
import unittest
+ − 1819
+ − 1820
class MyTestCase(unittest.TestCase):
+ − 1821
def setUp(self):
+ − 1822
# Called *before* each test_*
+ − 1823
def tearDown(self):
+ − 1824
# Called *after* each test_*
+ − 1825
def test_something(self):
+ − 1826
"docstring"
+ − 1827
# Test code.
+ − 1828
self.assertEqual(x, y)
+ − 1829
self.assertRaises(ValueError, func, arg1, arg2 ...)
+ − 1830
+ − 1831
if __name__ == '__main__':
+ − 1832
unittest.main()
+ − 1833
\end{lstlisting}
+ − 1834
\end{frame}
+ − 1835
+ − 1836
\begin{frame}[fragile]
+ − 1837
\frametitle{Nosetest}
+ − 1838
\begin{lstlisting}
+ − 1839
import particle
+ − 1840
def test_particle():
+ − 1841
# Use asserts here.
+ − 1842
p = particle.Particle(1.0)
+ − 1843
assert p.property[0] == 1.0
+ − 1844
assert p.property[2] == 0.0
+ − 1845
+ − 1846
if __name__ == '__main__':
+ − 1847
import nose
+ − 1848
nose.main()
+ − 1849
\end{lstlisting}
+ − 1850
\end{frame}
+ − 1851
+ − 1852
\begin{frame}[fragile]
+ − 1853
\frametitle{Testing}
+ − 1854
\begin{itemize}
+ − 1855
\item More details: see library reference and search for nosetest
+ − 1856
\end{itemize}
+ − 1857
\end{frame}
+ − 1858
+ − 1859
\section{Numerics \& Plotting}
+ − 1860
+ − 1861
\subsection{NumPy Arrays}
+ − 1862
+ − 1863
\newcommand{\num}{\texttt{numpy}}
+ − 1864
+ − 1865
\begin{frame}
+ − 1866
\frametitle{The \num\ module}
+ − 1867
\begin{itemize}
+ − 1868
\item Manipulating large Python lists for scientific computing is
+ − 1869
\alert{slow}
+ − 1870
\item Most complex computations can be reduced to a few standard
+ − 1871
operations
+ − 1872
\item The \num\ module provides:
+ − 1873
\begin{itemize}
+ − 1874
\item An efficient and powerful array type for various common data
+ − 1875
types
+ − 1876
\item Abstracts out the most commonly used standard operations on
+ − 1877
arrays
+ − 1878
\end{itemize}
+ − 1879
\item Numeric was the first, then came \texttt{numarray}.
+ − 1880
\texttt{numpy} is the latest and is the future
+ − 1881
\item This course uses \num\ and only covers the absolute basics
+ − 1882
\end{itemize}
+ − 1883
\end{frame}
+ − 1884
+ − 1885
\begin{frame}
+ − 1886
\frametitle{Basic concepts}
+ − 1887
\begin{itemize}
+ − 1888
\item \num\ arrays are of a fixed size (\typ{arr.size}) and have the
+ − 1889
same type (\typ{arr.dtype})
+ − 1890
\item \num\ arrays may have arbitrary dimensionality
+ − 1891
\item The \typ{shape} of an array is the extent (length) of the
+ − 1892
array along each dimension
+ − 1893
\item The \typ{rank(arr)} of an array is the ``dimensionality'' of the
+ − 1894
array
+ − 1895
\item The \typ{arr.itemsize} is the number of bytes (8-bits) used for
+ − 1896
each element of the array
+ − 1897
\item \alert{Note:} The \typ{shape} and \typ{rank} may change as
+ − 1898
long as the \typ{size} of the array is fixed
+ − 1899
\item \alert{Note:} \typ{len(arr) != arr.size} in general
+ − 1900
\item \alert{Note:} By default array operations are performed
+ − 1901
\alert{elementwise}
+ − 1902
\item Indices start from 0
+ − 1903
\end{itemize}
+ − 1904
\end{frame}
+ − 1905
+ − 1906
\begin{frame}[fragile]
+ − 1907
\frametitle{Examples of \num}
+ − 1908
\begin{lstlisting}
+ − 1909
# Simple array math example
+ − 1910
>>> from numpy import *
+ − 1911
>>> a = array([1,2,3,4])
+ − 1912
>>> b = array([2,3,4,5])
+ − 1913
>>> a + b # Element wise addition!
+ − 1914
array([3, 5, 7, 9])
+ − 1915
+ − 1916
>>> print pi, e # Pi and e are defined.
+ − 1917
3.14159265359 2.71828182846
+ − 1918
# Create array from 0 to 10
+ − 1919
>>> x = arange(0.0, 10.0, 0.05)
+ − 1920
>>> x *= 2*pi/10 # multiply array by scalar value
+ − 1921
array([ 0.,0.0314,...,6.252])
+ − 1922
# apply functions to array.
+ − 1923
>>> y = sin(x)
+ − 1924
\end{lstlisting}
+ − 1925
\end{frame}
+ − 1926
+ − 1927
\begin{frame}[fragile]
+ − 1928
\frametitle{More examples of \num}
+ − 1929
\vspace*{-8pt}
+ − 1930
\begin{lstlisting}
+ − 1931
# Size, shape, rank, type etc.
+ − 1932
>>> x = array([1., 2, 3, 4])
+ − 1933
>>> size(x)
+ − 1934
4
+ − 1935
>>> x.dtype # or x.dtype.char
+ − 1936
'd'
+ − 1937
>>> x.shape
+ − 1938
(4,)
+ − 1939
>>> print rank(x), x.itemsize
+ − 1940
1 8
+ − 1941
>>> x.tolist()
+ − 1942
[1.0, 2.0, 3.0, 4.0]
+ − 1943
# Array indexing
+ − 1944
>>> x[0] = 10
+ − 1945
>>> print x[0], x[-1]
+ − 1946
10.0 4.0
+ − 1947
\end{lstlisting}
+ − 1948
\end{frame}
+ − 1949
+ − 1950
\begin{frame}[fragile]
+ − 1951
\frametitle{Multi-dimensional arrays}
+ − 1952
\begin{lstlisting}
+ − 1953
>>> a = array([[ 0, 1, 2, 3],
+ − 1954
... [10,11,12,13]])
+ − 1955
>>> a.shape # (rows, columns)
+ − 1956
(2, 4)
+ − 1957
# Accessing and setting values
+ − 1958
>>> a[1,3]
+ − 1959
13
+ − 1960
>>> a[1,3] = -1
+ − 1961
>>> a[1] # The second row
+ − 1962
array([10,11,12,-1])
+ − 1963
+ − 1964
# Flatten/ravel arrays to 1D arrays
+ − 1965
>>> a.flat # or ravel(a)
+ − 1966
array([0,1,2,3,10,11,12,-1])
+ − 1967
# Note: flat references original memory
+ − 1968
\end{lstlisting}
+ − 1969
\end{frame}
+ − 1970
+ − 1971
\begin{frame}[fragile]
+ − 1972
\frametitle{Slicing arrays}
+ − 1973
\begin{lstlisting}
+ − 1974
>>> a = array([[1,2,3], [4,5,6], [7,8,9]])
+ − 1975
>>> a[0,1:3]
+ − 1976
array([2, 3])
+ − 1977
>>> a[1:,1:]
+ − 1978
array([[5, 6],
+ − 1979
[8, 9]])
+ − 1980
>>> a[:,2]
+ − 1981
array([3, 6, 9])
+ − 1982
# Striding...
+ − 1983
>>> a[0::2,0::2]
+ − 1984
array([[1, 3],
+ − 1985
[7, 9]])
+ − 1986
# All these slices are references to the same memory!
+ − 1987
\end{lstlisting}
+ − 1988
\end{frame}
+ − 1989
+ − 1990
% \begin{frame}[fragile]
+ − 1991
% \frametitle{Array types and typecodes}
+ − 1992
% \begin{tabular}[c]{|c|c|p{2.75in}|}
+ − 1993
% \hline
+ − 1994
% Character & Bits (bytes) & Type name \\
+ − 1995
% \hline
+ − 1996
% D & 128 (16) & \typ{Complex, Complex64}\\
+ − 1997
% F & 64 (8) & \typ{Complex0, Complex8, Complex16} \\
+ − 1998
% d & 64 (8) & \typ{Float, Float64} \\
+ − 1999
% f & 32 (4) & \typ{Float0, Float8, Float16} \\
+ − 2000
% i & 32 (4) & \typ{Int32} \\
+ − 2001
% l & 32 (4) & \typ{Int} \\
+ − 2002
% O & 4 (1) & \typ{PyObject} \\
+ − 2003
% %b 8 (1) UnsignedInt8
+ − 2004
% %1 (one) 8 (1) Int8
+ − 2005
% %s 16 (2) Int16
+ − 2006
% \hline
+ − 2007
% \end{tabular}
+ − 2008
% \begin{lstlisting}
+ − 2009
% # Examples
+ − 2010
% >>> f = array([1,2,3], Float32)
+ − 2011
% >>> c = array([1,2,3], Complex32)
+ − 2012
% >>> print f, c
+ − 2013
% [ 1. 2. 3.] [ 1.+0.j 2.+0.j 3.+0.j]
+ − 2014
% \end{lstlisting}
+ − 2015
% \end{frame}
+ − 2016
+ − 2017
\begin{frame}[fragile]
+ − 2018
\frametitle{Array creation functions}
+ − 2019
\begin{itemize}
+ − 2020
\item \typ{array(object, dtype=None, copy=1,order=None, subok=0,ndmin=0)}
+ − 2021
\item \typ{arange(start, stop=None, step=1, dtype=None)}
+ − 2022
\item \typ{linspace(start, stop, num=50, endpoint=True, retstep=False)}
+ − 2023
\item \typ{ones(shape, dtype=None, order='C')}
+ − 2024
\item \typ{zeros((d1,...,dn),dtype=float,order='C')}
+ − 2025
\item \typ{identity(n)}
+ − 2026
\item \typ{empty((d1,...,dn),dtype=float,order='C')}
+ − 2027
\item \typ{ones\_like(x)}, \typ{zeros\_like(x)}, \typ{empty\_like(x)}
+ − 2028
\end{itemize}
+ − 2029
\end{frame}
+ − 2030
+ − 2031
\begin{frame}[fragile]
+ − 2032
\frametitle{Array math}
+ − 2033
\begin{itemize}
+ − 2034
\item Basic \alert{elementwise} math (given two arrays \typ{a, b}):
+ − 2035
\begin{itemize}
+ − 2036
\item \typ{a + b $\rightarrow$ add(a, b)}
+ − 2037
\item \typ{a - b, $\rightarrow$ subtract(a, b)}
+ − 2038
\item \typ{a * b, $\rightarrow$ multiply(a, b)}
+ − 2039
\item \typ{a / b, $\rightarrow$ divide(a, b)}
+ − 2040
\item \typ{a \% b, $\rightarrow$ remainder(a, b)}
+ − 2041
\item \typ{a ** b, $\rightarrow$ power(a, b)}
+ − 2042
\end{itemize}
+ − 2043
\item Inplace operators: \typ{a += b}, or \typ{add(a, b,
+ − 2044
a)} etc.
+ − 2045
\item Logical operations: \typ{equal (==)}, \typ{not\_equal (!=)},
+ − 2046
\typ{less (<)}, \typ{greater (>)} etc.
+ − 2047
\item Trig and other functions: \typ{sin(x), arcsin(x), sinh(x),
+ − 2048
exp(x), sqrt(x)} etc.
+ − 2049
\item \typ{sum(x, axis=0), product(x, axis=0)}: sum and product of array elements
+ − 2050
\item \typ{dot(a, b)}
+ − 2051
\end{itemize}
+ − 2052
\end{frame}
+ − 2053
+ − 2054
\begin{frame}[fragile]
+ − 2055
\frametitle{Advanced}
+ − 2056
\begin{itemize}
+ − 2057
\item Only scratched the surface of \num
+ − 2058
\item Ufunc methods: \typ{reduce, accumulate, outer, reduceat}
+ − 2059
\item Typecasting
+ − 2060
\item More functions: \typ{take, choose, where, compress,
+ − 2061
concatenate}
+ − 2062
\item Array broadcasting and \typ{None}
+ − 2063
\end{itemize}
+ − 2064
\end{frame}
+ − 2065
+ − 2066
\subsection{Plotting: Matplotlib}
+ − 2067
+ − 2068
\begin{frame}
+ − 2069
\frametitle{About \texttt{matplotlib}}
+ − 2070
\begin{itemize}
+ − 2071
\item Easy to use, scriptable, ``Matlab-like'' 2D plotting
+ − 2072
\item Publication quality figures and interactive capabilities
+ − 2073
\item Plots, histograms, power spectra, bar charts, errorcharts,
+ − 2074
scatterplots, etc.
+ − 2075
\item Also does polar plots, maps, contours
+ − 2076
\item Support for simple \TeX\ markup
+ − 2077
\item Multiple output backends (images, EPS, SVG, wx, Agg, Tk, GTK)
+ − 2078
\item Cross-platform: Linux, Win32, Mac OS X
+ − 2079
\item Good idea to use via IPython: \typ{ipython -pylab}
+ − 2080
\item From scripts use: \typ{import pylab}
+ − 2081
\end{itemize}
+ − 2082
\end{frame}
+ − 2083
+ − 2084
\begin{frame}
+ − 2085
\frametitle{More information}
+ − 2086
\begin{itemize}
+ − 2087
\item More information here: \url{http://matplotlib.sf.net}
+ − 2088
\item \url{http://matplotlib.sf.net/tutorial.html}
+ − 2089
\item \url{http://matplotlib.sf.net/screenshots.html}
+ − 2090
\end{itemize}
+ − 2091
\end{frame}
+ − 2092
+ − 2093
\begin{frame}[fragile]
+ − 2094
\frametitle{Basic plotting with \texttt{matplotlib}}
+ − 2095
\begin{lstlisting}
+ − 2096
>>> x = arange(0, 2*pi, 0.05)
+ − 2097
>>> plot(x, sin(x)) # Same as plot(x, sin(x), 'b-')
+ − 2098
>>> plot(x, sin(x), 'ro')
+ − 2099
>>> axis([0,2*pi, -1,1])
+ − 2100
>>> xlabel(r'$\chi$', color='g')
+ − 2101
>>> ylabel(r'sin($\chi$)', color='r')
+ − 2102
>>> title('A simple figure', fontsize=20)
+ − 2103
>>> savefig('/tmp/test.eps')
+ − 2104
# Multiple plots in one figure
+ − 2105
>>> t = arange(0.0, 5.2, 0.2)
+ − 2106
# red dashes, blue squares and green triangles
+ − 2107
>>> plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^')
+ − 2108
\end{lstlisting}
+ − 2109
\end{frame}
+ − 2110
+ − 2111
\begin{frame}[fragile]
+ − 2112
\frametitle{Basic plotting \ldots}
+ − 2113
\begin{lstlisting}
+ − 2114
# Set properties of objects:
+ − 2115
>>> plot(x, sin(x), linewidth=2.0, color='r')
+ − 2116
>>> l, = plot(x, sin(x))
+ − 2117
>>> setp(l, linewidth=2.0, color='r')
+ − 2118
>>> l.set_linewidth(2.0); l.set_color('r')
+ − 2119
>>> draw() # Redraws current figure.
+ − 2120
>>> setp(l) # Prints available properties
+ − 2121
>>> close() # Closes the figure.
+ − 2122
# Multiple figures:
+ − 2123
>>> figure(1); plot(x, sin(x))
+ − 2124
>>> figure(2); plot(x, tanh(x))
+ − 2125
>>> figure(1); title('Easy as 1,2,3')
+ − 2126
\end{lstlisting}
+ − 2127
\end{frame}
+ − 2128
+ − 2129
\begin{frame}[fragile]
+ − 2130
\frametitle{Basic plotting \ldots}
+ − 2131
\begin{lstlisting}
+ − 2132
>>> figure(1)
+ − 2133
>>> subplot(211) # Same as subplot(2, 1, 1)
+ − 2134
>>> plot(x, cos(5*x)*exp(-x))
+ − 2135
>>> subplot(2, 1, 2)
+ − 2136
>>> plot(x, cos(5*x), 'r--', label='cosine')
+ − 2137
>>> plot(x, sin(5*x), 'g--', label='sine')
+ − 2138
>>> legend() # Or legend(['cosine', 'sine'])
+ − 2139
>>> text(1,0, '(1,0)')
+ − 2140
>>> axes = gca() # Current axis
+ − 2141
>>> fig = gcf() # Current figure
+ − 2142
\end{lstlisting}
+ − 2143
\end{frame}
+ − 2144
+ − 2145
\begin{frame}[fragile]
+ − 2146
\frametitle{X-Y plot}
+ − 2147
\begin{columns}
+ − 2148
\column{0.5\textwidth}
+ − 2149
\hspace*{-0.5in}
+ − 2150
\includegraphics[height=2in, interpolate=true]{data/xyplot}
+ − 2151
\column{0.45\textwidth}
+ − 2152
\begin{block}{Example code}
+ − 2153
\tiny
+ − 2154
\begin{lstlisting}
+ − 2155
t1 = arange(0.0, 5.0, 0.1)
+ − 2156
t2 = arange(0.0, 5.0, 0.02)
+ − 2157
t3 = arange(0.0, 2.0, 0.01)
+ − 2158
subplot(211)
+ − 2159
plot(t1, cos(2*pi*t1)*exp(-t1), 'bo',
+ − 2160
t2, cos(2*pi*t2)*exp(-t2), 'k')
+ − 2161
grid(True)
+ − 2162
title('A tale of 2 subplots')
+ − 2163
ylabel('Damped')
+ − 2164
subplot(212)
+ − 2165
plot(t3, cos(2*pi*t3), 'r--')
+ − 2166
grid(True)
+ − 2167
xlabel('time (s)')
+ − 2168
ylabel('Undamped')
+ − 2169
\end{lstlisting}
+ − 2170
\end{block}
+ − 2171
\end{columns}
+ − 2172
\end{frame}
+ − 2173
+ − 2174
\begin{frame}[fragile] \frametitle{Errorbar}
+ − 2175
\begin{columns}
+ − 2176
\column{0.5\textwidth}
+ − 2177
\hspace*{-0.5in}
+ − 2178
\includegraphics[height=2in, interpolate=true]{data/errorbar}
+ − 2179
\column{0.45\textwidth}
+ − 2180
\begin{block}{Example code}
+ − 2181
\tiny
+ − 2182
\begin{lstlisting}
+ − 2183
t = arange(0.1, 4, 0.1)
+ − 2184
s = exp(-t)
+ − 2185
e = 0.1*abs(randn(len(s)))
+ − 2186
f = 0.1*abs(randn(len(s)))
+ − 2187
g = 2*e
+ − 2188
h = 2*f
+ − 2189
errorbar(t, s, [e,g], f, fmt='o')
+ − 2190
xlabel('Distance (m)')
+ − 2191
ylabel('Height (m)')
+ − 2192
title('Mean and standard error '\
+ − 2193
'as a function of distance')
+ − 2194
\end{lstlisting}
+ − 2195
\end{block}
+ − 2196
\end{columns}
+ − 2197
\end{frame}
+ − 2198
+ − 2199
\begin{frame}[fragile] \frametitle{Semi-log and log-log plots}
+ − 2200
\begin{columns}
+ − 2201
\column{0.5\textwidth}
+ − 2202
\hspace*{-0.5in}
+ − 2203
\includegraphics[height=2in, interpolate=true]{data/log}
+ − 2204
\column{0.45\textwidth}
+ − 2205
\begin{block}{Example code}
+ − 2206
\tiny
+ − 2207
\begin{lstlisting}
+ − 2208
dt = 0.01
+ − 2209
t = arange(dt, 20.0, dt)
+ − 2210
subplot(311)
+ − 2211
semilogy(t, exp(-t/5.0))
+ − 2212
ylabel('semilogy')
+ − 2213
grid(True)
+ − 2214
subplot(312)
+ − 2215
semilogx(t, sin(2*pi*t))
+ − 2216
ylabel('semilogx')
+ − 2217
grid(True)
+ − 2218
# minor grid on too
+ − 2219
gca().xaxis.grid(True, which='minor')
+ − 2220
subplot(313)
+ − 2221
loglog(t, 20*exp(-t/10.0), basex=4)
+ − 2222
grid(True)
+ − 2223
ylabel('loglog base 4 on x')
+ − 2224
\end{lstlisting}
+ − 2225
\end{block}
+ − 2226
\end{columns}
+ − 2227
\end{frame}
+ − 2228
+ − 2229
\begin{frame}[fragile] \frametitle{Histogram}
+ − 2230
\begin{columns}
+ − 2231
\column{0.5\textwidth}
+ − 2232
\hspace*{-0.5in}
+ − 2233
\includegraphics[height=2in, interpolate=true]{data/histogram}
+ − 2234
\column{0.45\textwidth}
+ − 2235
\begin{block}{Example code}
+ − 2236
\tiny
+ − 2237
\begin{lstlisting}
+ − 2238
mu, sigma = 100, 15
+ − 2239
x = mu + sigma*randn(10000)
+ − 2240
# the histogram of the data
+ − 2241
n, bins, patches = hist(x, 100, normed=1)
+ − 2242
# add a 'best fit' line
+ − 2243
y = normpdf( bins, mu, sigma)
+ − 2244
l = plot(bins, y, 'r--', linewidth=2)
+ − 2245
xlim(40, 160)
+ − 2246
xlabel('Smarts')
+ − 2247
ylabel('P')
+ − 2248
title(r'$\rm{IQ:}\/ \mu=100,\/ \sigma=15$')
+ − 2249
\end{lstlisting}
+ − 2250
\end{block}
+ − 2251
\end{columns}
+ − 2252
\end{frame}
+ − 2253
+ − 2254
\begin{frame}[fragile] \frametitle{Bar charts}
+ − 2255
\begin{columns}
+ − 2256
\column{0.5\textwidth}
+ − 2257
\hspace*{-0.5in}
+ − 2258
\includegraphics[height=2in, interpolate=true]{data/barchart}
+ − 2259
\column{0.45\textwidth}
+ − 2260
\begin{block}{Example code}
+ − 2261
\tiny
+ − 2262
\begin{lstlisting}
+ − 2263
N = 5
+ − 2264
menMeans = (20, 35, 30, 35, 27)
+ − 2265
menStd = ( 2, 3, 4, 1, 2)
+ − 2266
# the x locations for the groups
+ − 2267
ind = arange(N)
+ − 2268
# the width of the bars
+ − 2269
width = 0.35
+ − 2270
p1 = bar(ind, menMeans, width,
+ − 2271
color='r', yerr=menStd)
+ − 2272
womenMeans = (25, 32, 34, 20, 25)
+ − 2273
womenStd = ( 3, 5, 2, 3, 3)
+ − 2274
p2 = bar(ind+width, womenMeans, width,
+ − 2275
color='y', yerr=womenStd)
+ − 2276
ylabel('Scores')
+ − 2277
title('Scores by group and gender')
+ − 2278
xticks(ind+width,
+ − 2279
('G1', 'G2', 'G3', 'G4', 'G5'))
+ − 2280
xlim(-width,len(ind))
+ − 2281
yticks(arange(0,41,10))
+ − 2282
legend((p1[0], p2[0]),
+ − 2283
('Men', 'Women'), shadow=True)
+ − 2284
\end{lstlisting}
+ − 2285
\end{block}
+ − 2286
\end{columns}
+ − 2287
\end{frame}
+ − 2288
+ − 2289
\begin{frame}[fragile] \frametitle{Pie charts}
+ − 2290
\begin{columns}
+ − 2291
\column{0.5\textwidth}
+ − 2292
\hspace*{-0.4in}
+ − 2293
\includegraphics[height=2.0in, interpolate=true]{data/piechart}
+ − 2294
\column{0.45\textwidth}
+ − 2295
\begin{block}{Example code}
+ − 2296
\tiny
+ − 2297
\begin{lstlisting}
+ − 2298
# make a square figure and axes
+ − 2299
figure(1, figsize=(8,8))
+ − 2300
ax = axes([0.1, 0.1, 0.8, 0.8])
+ − 2301
labels = 'Frogs', 'Hogs', 'Dogs', 'Logs'
+ − 2302
fracs = [15,30,45, 10]
+ − 2303
explode=(0, 0.05, 0, 0)
+ − 2304
pie(fracs, explode=explode, labels=labels,
+ − 2305
autopct='%1.1f%%', shadow=True)
+ − 2306
title('Raining Hogs and Dogs',
+ − 2307
bbox={'facecolor':'0.8', 'pad':5})
+ − 2308
\end{lstlisting}
+ − 2309
\end{block}
+ − 2310
\end{columns}
+ − 2311
\end{frame}
+ − 2312
+ − 2313
\begin{frame}[fragile] \frametitle{Scatter plots}
+ − 2314
\begin{columns}
+ − 2315
\column{0.5\textwidth}
+ − 2316
\hspace*{-0.4in}
+ − 2317
\includegraphics[height=2in, interpolate=true]{data/scatter}
+ − 2318
\column{0.45\textwidth}
+ − 2319
\begin{block}{Example code}
+ − 2320
\tiny
+ − 2321
\begin{lstlisting}
+ − 2322
N = 30
+ − 2323
x = 0.9*rand(N)
+ − 2324
y = 0.9*rand(N)
+ − 2325
# 0 to 10 point radiuses
+ − 2326
area = pi*(10 * rand(N))**2
+ − 2327
volume = 400 + rand(N)*450
+ − 2328
scatter(x,y,s=area, marker='o', c=volume,
+ − 2329
alpha=0.75)
+ − 2330
xlabel(r'$\Delta_i$', size='x-large')
+ − 2331
ylabel(r'$\Delta_{i+1}$', size='x-large')
+ − 2332
title(r'Volume and percent change')
+ − 2333
grid(True)
+ − 2334
colorbar()
+ − 2335
savefig('scatter')
+ − 2336
\end{lstlisting}
+ − 2337
\end{block}
+ − 2338
\end{columns}
+ − 2339
\end{frame}
+ − 2340
+ − 2341
\begin{frame}[fragile] \frametitle{Polar}
+ − 2342
\begin{columns}
+ − 2343
\column{0.5\textwidth}
+ − 2344
\hspace*{-0.5in}
+ − 2345
\includegraphics[height=2in, interpolate=true]{data/polar}
+ − 2346
\column{0.45\textwidth}
+ − 2347
\begin{block}{Example code}
+ − 2348
\tiny
+ − 2349
\begin{lstlisting}
+ − 2350
figure(figsize=(8,8))
+ − 2351
ax = axes([0.1, 0.1, 0.8, 0.8], polar=True,
+ − 2352
axisbg='#d5de9c')
+ − 2353
r = arange(0,1,0.001)
+ − 2354
theta = 2*2*pi*r
+ − 2355
polar(theta, r, color='#ee8d18', lw=3)
+ − 2356
# the radius of the grid labels
+ − 2357
setp(ax.thetagridlabels, y=1.075)
+ − 2358
title(r"$\theta=4\pi r", fontsize=20)
+ − 2359
\end{lstlisting}
+ − 2360
\end{block}
+ − 2361
\end{columns}
+ − 2362
\end{frame}
+ − 2363
+ − 2364
\begin{frame}[fragile] \frametitle{Contours}
+ − 2365
\begin{columns}
+ − 2366
\column{0.45\textwidth}
+ − 2367
\hspace*{-0.5in}
+ − 2368
\includegraphics[height=2in, interpolate=true]{data/contour}
+ − 2369
\column{0.525\textwidth}
+ − 2370
\begin{block}{Example code}
+ − 2371
\tiny
+ − 2372
\begin{lstlisting}
+ − 2373
x = arange(-3.0, 3.0, 0.025)
+ − 2374
y = arange(-2.0, 2.0, 0.025)
+ − 2375
X, Y = meshgrid(x, y)
+ − 2376
Z1 = bivariate_normal(X, Y, 1.0, 1.0, 0.0, 0.0)
+ − 2377
Z2 = bivariate_normal(X, Y, 1.5, 0.5, 1, 1)
+ − 2378
# difference of Gaussians
+ − 2379
Z = 10.0 * (Z2 - Z1)
+ − 2380
im = imshow(Z, interpolation='bilinear',
+ − 2381
origin='lower',
+ − 2382
cmap=cm.gray, extent=(-3,3,-2,2))
+ − 2383
levels = arange(-1.2, 1.6, 0.2)
+ − 2384
# label every second level
+ − 2385
clabel(CS, levels[1::2], inline=1,
+ − 2386
fmt='%1.1f', fontsize=14)
+ − 2387
CS = contour(Z, levels,
+ − 2388
origin='lower',
+ − 2389
linewidths=2,
+ − 2390
extent=(-3,3,-2,2))
+ − 2391
# make a colorbar for the contour lines
+ − 2392
CB = colorbar(CS, shrink=0.8, extend='both')
+ − 2393
title('Lines with colorbar')
+ − 2394
hot(); flag()
+ − 2395
\end{lstlisting}
+ − 2396
\end{block}
+ − 2397
\end{columns}
+ − 2398
\end{frame}
+ − 2399
+ − 2400
\begin{frame}[fragile] \frametitle{Velocity vectors}
+ − 2401
\begin{columns}
+ − 2402
\column{0.5\textwidth}
+ − 2403
\hspace*{-0.5in}
+ − 2404
\includegraphics[height=2in, interpolate=true]{data/quiver}
+ − 2405
\column{0.45\textwidth}
+ − 2406
\begin{block}{Example code}
+ − 2407
\tiny
+ − 2408
\begin{lstlisting}
+ − 2409
X,Y = meshgrid(arange(0,2*pi,.2),
+ − 2410
arange(0,2*pi,.2) )
+ − 2411
U = cos(X)
+ − 2412
V = sin(Y)
+ − 2413
Q = quiver(X[::3, ::3], Y[::3, ::3],
+ − 2414
U[::3, ::3], V[::3, ::3],
+ − 2415
color='r', units='x',
+ − 2416
linewidths=(2,),
+ − 2417
edgecolors=('k'),
+ − 2418
headaxislength=5 )
+ − 2419
qk = quiverkey(Q, 0.5, 0.03, 1, '1 m/s',
+ − 2420
fontproperties=
+ − 2421
{'weight': 'bold'})
+ − 2422
axis([-1, 7, -1, 7])
+ − 2423
title('triangular head; scale '\
+ − 2424
'with x view; black edges')
+ − 2425
\end{lstlisting}
+ − 2426
\end{block}
+ − 2427
\end{columns}
+ − 2428
\end{frame}
+ − 2429
+ − 2430
\begin{frame}[fragile] \frametitle{Maps}
+ − 2431
\includegraphics[height=2.5in, interpolate=true]{data/plotmap}
+ − 2432
\begin{center}
+ − 2433
\tiny
+ − 2434
For details see \url{http://matplotlib.sourceforge.net/screenshots/plotmap.py}
+ − 2435
\end{center}
+ − 2436
\end{frame}
+ − 2437
+ − 2438
+ − 2439
\subsection{SciPy}
+ − 2440
+ − 2441
\begin{frame}
+ − 2442
\frametitle{Using \texttt{SciPy}}
+ − 2443
\begin{itemize}
+ − 2444
\item SciPy is Open Source software for mathematics, science, and
+ − 2445
engineering
+ − 2446
\item \typ{import scipy}
+ − 2447
\item Built on NumPy
+ − 2448
\item Provides modules for statistics, optimization, integration,
+ − 2449
linear algebra, Fourier transforms, signal and image processing,
+ − 2450
genetic algorithms, ODE solvers, special functions, and more
+ − 2451
\item Used widely by scientists world over
+ − 2452
\item Details are beyond the scope of this tutorial
+ − 2453
\end{itemize}
+ − 2454
\end{frame}
+ − 2455
+ − 2456
\section{Standard library}
+ − 2457
+ − 2458
\subsection{Quick Tour}
+ − 2459
+ − 2460
\begin{frame}
+ − 2461
\frametitle{Standard library}
+ − 2462
\begin{itemize}
+ − 2463
\item Very powerful
+ − 2464
\item ``Batteries included''
+ − 2465
\item Example standard modules taken from the tutorial
+ − 2466
\begin{itemize}
+ − 2467
\item Operating system interface: \typ{os}
+ − 2468
\item System, Command line arguments: \typ{sys}
+ − 2469
\item Regular expressions: \typ{re}
+ − 2470
\item Math: \typ{math}, \typ{random}
+ − 2471
\item Internet access: \typ{urllib2}, \typ{smtplib}
+ − 2472
\item Data compression: \typ{zlib}, \typ{gzip}, \typ{bz2},
+ − 2473
\typ{zipfile}, and \typ{tarfile}
+ − 2474
\item Unit testing: \typ{doctest} and \typ{unittest}
+ − 2475
\item And a whole lot more!
+ − 2476
\end{itemize}
+ − 2477
\item Check out the Python Library reference:
+ − 2478
\url{http://docs.python.org/lib/lib.html}
+ − 2479
\end{itemize}
+ − 2480
\end{frame}
+ − 2481
+ − 2482
\begin{frame}[fragile]
+ − 2483
\frametitle{Stdlib: examples}
+ − 2484
\begin{lstlisting}
+ − 2485
>>> import os
+ − 2486
>>> os.system('date')
+ − 2487
Fri Jun 10 22:13:09 IST 2005
+ − 2488
0
+ − 2489
>>> os.getcwd()
+ − 2490
'/home/prabhu'
+ − 2491
>>> os.chdir('/tmp')
+ − 2492
>>> import os
+ − 2493
>>> dir(os)
+ − 2494
<returns a list of all module functions>
+ − 2495
>>> help(os)
+ − 2496
<extensive manual page from module's docstrings>
+ − 2497
\end{lstlisting}
+ − 2498
\end{frame}
+ − 2499
+ − 2500
\begin{frame}[fragile]
+ − 2501
\frametitle{Stdlib: examples}
+ − 2502
\begin{lstlisting}
+ − 2503
>>> import sys
+ − 2504
>>> # Print the list of command line args to Python
+ − 2505
... print sys.argv
+ − 2506
['']
+ − 2507
>>> import re # Regular expressions
+ − 2508
>>> re.findall(r'\bf[a-z]*',
+ − 2509
... 'which foot or hand fell fastest')
+ − 2510
['foot', 'fell', 'fastest']
+ − 2511
>>> re.sub(r'(\b[a-z]+) \1', r'\1',
+ − 2512
... 'cat in the the hat')
+ − 2513
'cat in the hat'
+ − 2514
\end{lstlisting}
+ − 2515
\end{frame}
+ − 2516
+ − 2517
\begin{frame}[fragile]
+ − 2518
\frametitle{Stdlib: examples}
+ − 2519
\begin{lstlisting}
+ − 2520
>>> import math
+ − 2521
>>> math.cos(math.pi / 4.0)
+ − 2522
0.70710678118654757
+ − 2523
>>> math.log(1024, 2)
+ − 2524
10.0
+ − 2525
>>> import random
+ − 2526
>>> random.choice(['apple', 'pear', 'banana'])
+ − 2527
'pear'
+ − 2528
\end{lstlisting}
+ − 2529
\end{frame}
+ − 2530
+ − 2531
\begin{frame}[fragile]
+ − 2532
\frametitle{Stdlib: examples}
+ − 2533
\begin{lstlisting}
+ − 2534
>>> import urllib2
+ − 2535
>>> f = urllib2.urlopen('http://www.python.org/')
+ − 2536
>>> print f.read(100)
+ − 2537
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+ − 2538
<?xml-stylesheet href="./css/ht2html
+ − 2539
\end{lstlisting}
+ − 2540
\end{frame}
+ − 2541
+ − 2542
\begin{frame}[fragile]
+ − 2543
\frametitle{Stdlib: examples}
+ − 2544
\begin{lstlisting}
+ − 2545
>>> import zlib
+ − 2546
>>> s = 'witch which has which witches wrist watch'
+ − 2547
>>> len(s)
+ − 2548
41
+ − 2549
>>> t = zlib.compress(s)
+ − 2550
>>> len(t)
+ − 2551
37
+ − 2552
>>> zlib.decompress(t)
+ − 2553
'witch which has which witches wrist watch'
+ − 2554
>>> zlib.crc32(t)
+ − 2555
-1438085031
+ − 2556
\end{lstlisting}
+ − 2557
\end{frame}
+ − 2558
+ − 2559
\begin{frame}
+ − 2560
\frametitle{Summary}
+ − 2561
\begin{itemize}
+ − 2562
\item Introduced Python
+ − 2563
\item Basic syntax
+ − 2564
\item Basic types and data structures
+ − 2565
\item Control flow
+ − 2566
\item Functions
+ − 2567
\item Modules
+ − 2568
\item Exceptions
+ − 2569
\item Classes
+ − 2570
\item Standard library
+ − 2571
\end{itemize}
+ − 2572
\end{frame}
+ − 2573
+ − 2574
\end{document}
+ − 2575
+ − 2576
\subsection{Basic data structures}
+ − 2577
\begin{frame}{Lists}
+ − 2578
\begin{itemize}
+ − 2579
\item \texttt{species = [ 'humans', 'orcs', 'elves', 'dwarves' ]}
+ − 2580
\item \texttt{ ids = [ 107, 109, 124, 141, 142, 144 ]}
+ − 2581
\item \texttt{ oneliners = [ 'I will be back', 'Do or do not! No try!!', 42 ] }
+ − 2582
\end{itemize}
+ − 2583
+ − 2584
\begin{block}{List operations}
+ − 2585
ids + [ 100, 102 ]\\
+ − 2586
species.append( 'unicorns')\\
+ − 2587
print oneliners[ 1 ]\\
+ − 2588
look up \alert{docs.python.org/tutorial/datastructures.html}
+ − 2589
\end{block}
+ − 2590
\end{frame}
+ − 2591
\end{document}
+ − 2592
\section{Python Tutorial}
+ − 2593
\subsection{Preliminaries}
+ − 2594
\begin{frame}
+ − 2595
\frametitle{Using the interpreter}
+ − 2596
\begin{itemize}
+ − 2597
\item Starting up: \typ{python} or \typ{ipython}
+ − 2598
\item Quitting: \typ{Control-D} or \typ{Control-Z} (on Win32)
+ − 2599
\item Can use it like a calculator
+ − 2600
\item Can execute one-liners via the \typ{-c} option:
+ − 2601
\typ{python -c "print 'hello world'"}
+ − 2602
\item Other options via \typ{python -h}
+ − 2603
\end{itemize}
+ − 2604
\end{frame}
+ − 2605
+ − 2606
\begin{frame}
+ − 2607
\frametitle{IPython}
+ − 2608
\begin{itemize}
+ − 2609
\item Recommended interpreter, IPython:
+ − 2610
\url{http://ipython.scipy.org}
+ − 2611
\item Better than the default Python shell
+ − 2612
\item Supports tab completion by default
+ − 2613
\item Easier object introspection
+ − 2614
\item Shell access!
+ − 2615
\item Command system to allow extending its own behavior
+ − 2616
\item Supports history (across sessions) and logging
+ − 2617
\item Can be embedded in your own Python code
+ − 2618
\item Support for macros
+ − 2619
\item A flexible framework for your own custom interpreter
+ − 2620
\item Other miscellaneous conveniences
+ − 2621
\item We'll get back to this later
+ − 2622
\end{itemize}
+ − 2623
\end{frame}
+ − 2624
+ − 2625
\begin{frame}[fragile]
+ − 2626
\frametitle{Basic IPython features}
+ − 2627
\begin{itemize}
+ − 2628
\item Startup: \verb+ipython [options] files+
+ − 2629
\begin{itemize}
+ − 2630
\item \verb+ipython [-wthread|-gthread|-qthread]+:
+ − 2631
Threading modes to support wxPython, pyGTK and Qt
+ − 2632
\item \verb+ipython -pylab+: Support for matplotlib
+ − 2633
\end{itemize}
+ − 2634
\item TAB completion:
+ − 2635
\begin{itemize}
+ − 2636
\item Type \verb+object_name.<TAB>+ to see list of options
+ − 2637
\item Also completes on file and directory names
+ − 2638
\end{itemize}
+ − 2639
\item \verb+object?+ shows docstring/help for any Python object
+ − 2640
\item \verb+object??+ presents more docs (and source if possible)
+ − 2641
\item Debugging with \verb+%pdb+ magic: pops up pdb on errors
+ − 2642
\item Access history (saved over earlier sessions also)
+ − 2643
\begin{itemize}
+ − 2644
\item Use \texttt{<UpArrow>}: move up history
+ − 2645
\item Use \texttt{<Ctrl-r> string}: search history backwards
+ − 2646
\item Use \texttt{Esc >}: get back to end of history
+ − 2647
\end{itemize}
+ − 2648
\item \verb+%run [options] file[.py]+ lets you run Python code
+ − 2649
\end{itemize}
+ − 2650
\end{frame}
+ − 2651
% LocalWords: BDFL Guido Rossum PSF Nokia OO Zope CMS RedHat SciPy MayaVi spam
+ − 2652
% LocalWords: IPython ipython stdin TypeError dict int elif PYTHONPATH IOError
+ − 2653
% LocalWords: namespace Namespaces SyntaxError ZeroDivisionError NameError str
+ − 2654
% LocalWords: ValueError subclassed def
+ − 2655
+ − 2656
+ − 2657
\item Types are of two kinds: \alert{mutable} and \alert{immutable}
+ − 2658
\item Immutable types: numbers, strings, \typ{None} and tuples
+ − 2659
\item Immutables cannot be changed ``in-place''
+ − 2660
\item Mutable types: lists, dictionaries, instances, etc.
+ − 2661
\item Mutable objects can be ``changed''
+ − 2662
\end{itemize}
+ − 2663
+ − 2664
+ − 2665
\begin{frame}
+ − 2666
\frametitle{Important!}
+ − 2667
\begin{itemize}
+ − 2668
\item Assignment to an object is by reference
+ − 2669
\item Essentially, \alert{names are bound to objects}
+ − 2670
\end{itemize}
+ − 2671
\end{frame}
+ − 2672
+ − 2673
+ − 2674
\end{document}
+ − 2675
\begin{frame}[fragile]
+ − 2676
\frametitle{Dictionaries}
+ − 2677
\begin{itemize}
+ − 2678
\item Associative arrays/mappings
+ − 2679
\item Indexed by ``keys'' (keys must be immutable)
+ − 2680
\item \typ{dict[key] = value}
+ − 2681
\item \typ{keys()} returns all keys of the dict
+ − 2682
\item \typ{values()} returns the values of the dict
+ − 2683
\item \verb+has_key(key)+ returns if \typ{key} is in the dict
+ − 2684
\end{itemize}
+ − 2685
\end{frame}
+ − 2686
+ − 2687
\begin{frame}[fragile]
+ − 2688
\frametitle{Dictionaries: example}
+ − 2689
\begin{lstlisting}
+ − 2690
>>> tel = {'jack': 4098, 'sape': 4139}
+ − 2691
>>> tel['guido'] = 4127
+ − 2692
>>> tel
+ − 2693
{'sape': 4139, 'guido': 4127, 'jack': 4098}
+ − 2694
>>> tel['jack']
+ − 2695
4098
+ − 2696
>>> del tel['sape']
+ − 2697
>>> tel['irv'] = 4127
+ − 2698
>>> tel
+ − 2699
{'guido': 4127, 'irv': 4127, 'jack': 4098}
+ − 2700
>>> tel.keys()
+ − 2701
['guido', 'irv', 'jack']
+ − 2702
>>> tel.has_key('guido')
+ − 2703
True
+ − 2704
\end{lstlisting}
+ − 2705
\end{frame}
+ − 2706
+ − 2707
\subsection{Control flow, functions}
+ − 2708
+ − 2709
+ − 2710
+ − 2711
\begin{frame}[fragile]
+ − 2712
\frametitle{\typ{If} example}
+ − 2713
\begin{lstlisting}
+ − 2714
>>> a = ['cat', 'window', 'defenestrate']
+ − 2715
>>> if 'cat' in a:
+ − 2716
... print "meaw"
+ − 2717
...
+ − 2718
meaw
+ − 2719
>>> pets = {'cat': 1, 'dog':2, 'croc': 10}
+ − 2720
>>> if 'croc' in pets:
+ − 2721
... print pets['croc']
+ − 2722
...
+ − 2723
10
+ − 2724
\end{lstlisting}
+ − 2725
\end{frame}
+ − 2726
+ − 2727
\begin{frame}[fragile]
+ − 2728
\frametitle{\typ{for} example}
+ − 2729
\begin{lstlisting}
+ − 2730
>>> a = ['cat', 'window', 'defenestrate']
+ − 2731
>>> for x in a:
+ − 2732
... print x, len(x)
+ − 2733
...
+ − 2734
cat 3
+ − 2735
window 6
+ − 2736
defenestrate 12
+ − 2737
>>> knights = {'gallahad': 'the pure',
+ − 2738
... 'robin': 'the brave'}
+ − 2739
>>> for k, v in knights.iteritems():
+ − 2740
... print k, v
+ − 2741
...
+ − 2742
gallahad the pure
+ − 2743
robin the brave
+ − 2744
\end{lstlisting}
+ − 2745
\end{frame}