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authorPrabhu Ramachandran2017-01-19 00:04:28 +0530
committerPrabhu Ramachandran2017-01-19 00:04:28 +0530
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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%Tutorial slides on Python.
-%
-% Author: FOSSEE
-% Copyright (c) 2009, FOSSEE, IIT Bombay
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-\documentclass[14pt,compress]{beamer}
-%\documentclass[draft]{beamer}
-%\documentclass[compress,handout]{beamer}
-%\usepackage{pgfpages}
-%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
-
-% Modified from: generic-ornate-15min-45min.de.tex
-\mode<presentation>
-{
- \usetheme{Warsaw}
- \useoutertheme{infolines}
- \setbeamercovered{transparent}
-}
-
-\usepackage[english]{babel}
-\usepackage[latin1]{inputenc}
-%\usepackage{times}
-\usepackage[T1]{fontenc}
-
-% Taken from Fernando's slides.
-\usepackage{ae,aecompl}
-\usepackage{mathpazo,courier,euler}
-\usepackage[scaled=.95]{helvet}
-
-\definecolor{darkgreen}{rgb}{0,0.5,0}
-
-\usepackage{listings}
-\lstset{language=Python,
- basicstyle=\ttfamily\bfseries,
- commentstyle=\color{red}\itshape,
- stringstyle=\color{darkgreen},
- showstringspaces=false,
- keywordstyle=\color{blue}\bfseries}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Macros
-\setbeamercolor{emphbar}{bg=blue!20, fg=black}
-\newcommand{\emphbar}[1]
-{\begin{beamercolorbox}[rounded=true]{emphbar}
- {#1}
- \end{beamercolorbox}
-}
-\newcounter{time}
-\setcounter{time}{0}
-\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
-
-\newcommand{\typ}[1]{\lstinline{#1}}
-
-\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
-
-\newcommand{\num}{\texttt{numpy}}
-
-%%% This is from Fernando's setup.
-% \usepackage{color}
-% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
-% % Use and configure listings package for nicely formatted code
-% \usepackage{listings}
-% \lstset{
-% language=Python,
-% basicstyle=\small\ttfamily,
-% commentstyle=\ttfamily\color{blue},
-% stringstyle=\ttfamily\color{orange},
-% showstringspaces=false,
-% breaklines=true,
-% postbreak = \space\dots
-% }
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Title page
-\title[Interactive Plotting]{Introductory Scientific Computing with
-Python}
-\subtitle{More plotting, lists and numpy arrays}
-
-\author[FOSSEE] {FOSSEE}
-
-\institute[FOSSEE -- IITB] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {Mumbai, India}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
-%\logo{\pgfuseimage{iitmlogo}}
-
-
-%% Delete this, if you do not want the table of contents to pop up at
-%% the beginning of each subsection:
-\AtBeginSubsection[]
-{
- \begin{frame}<beamer>
- \frametitle{Outline}
- \tableofcontents[currentsection,currentsubsection]
- \end{frame}
-}
-
-\AtBeginSection[]
-{
- \begin{frame}<beamer>
- \frametitle{Outline}
- \tableofcontents[currentsection,currentsubsection]
- \end{frame}
-}
-
-% If you wish to uncover everything in a step-wise fashion, uncomment
-% the following command:
-%\beamerdefaultoverlayspecification{<+->}
-
-%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% DOCUMENT STARTS
-\begin{document}
-
-\begin{frame}
- \titlepage
-\end{frame}
-
-\begin{frame}
- \frametitle{Outline}
- \tableofcontents
- % You might wish to add the option [pausesections]
-\end{frame}
-
-\section{Plotting Points}
-\begin{frame}[fragile]
-\frametitle{Why would I plot f(x)?}
-Do we plot analytical functions or experimental data?
-\begin{small}
-\begin{lstlisting}
-In []: time = [0., 1., 2, 3]
-
-In []: distance = [7., 11, 15, 19]
-
-In []: plot(time,distance)
-Out[]: [<matplotlib.lines.Line2D object at 0xa73aa8c>]
-
-In []: xlabel('time')
-Out[]: <matplotlib.text.Text object at 0x986e9ac>
-
-In []: ylabel('distance')
-Out[]: <matplotlib.text.Text object at 0x98746ec>
-\end{lstlisting}
-\end{small}
-\end{frame}
-
-\begin{frame}[fragile]
-\begin{figure}
-\includegraphics[width=3.5in]{data/straightline.png}
-\end{figure}
-\alert{Is this what you have?}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Plotting points}
-\begin{itemize}
-\item What if we want to plot the points?
-\end{itemize}
-\begin{lstlisting}
- In []: clf()
-
- In []: plot(time, distance, 'o')
- Out[]: [<matplotlib.lines.Line2D object at 0xac17e0c>]
-
- In []: clf()
- In []: plot(time, distance, '.')
- Out[]: [<matplotlib.lines.Line2D object at 0xac17e0c>]
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
-\begin{figure}
-\includegraphics[interpolate=true,width=2.35in]{data/stline_dots.png}
-\includegraphics[interpolate=true,width=2.35in]{data/stline_points.png}
-\end{figure}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Additional Line Styles}
-\begin{itemize}
- \item \typ{'o'} - Filled circles
- \item \typ{'.'} - Small Dots
- \item \typ{'-'} - Lines
- \item \typ{'--'} - Dashed lines
-\end{itemize}
-\end{frame}
-
-\section{Lists}
-\begin{frame}[fragile]
- \frametitle{Lists: Introduction}
- \begin{lstlisting}
-In []: time = [0., 1., 2, 3]
-
-In []: distance = [7., 11, 15, 19]
- \end{lstlisting}
-What are \typ{time} and \typ{distance}?\\
-\begin{center}
- \large
-\alert{\typ{lists!!}}
-\end{center}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Lists: Initializing \& accessing elements}
-\begin{lstlisting}
-In []: mtlist = []
-\end{lstlisting}
-\emphbar{Empty List}
-\begin{lstlisting}
-In []: p = [ 2, 3, 5, 7]
-
-In []: p[1]
-Out[]: 3
-
-In []: p[0]+p[1]+p[-1]
-Out[]: 12
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{List: Slicing}
- \begin{block}{Remember\ldots}
- \kwrd{In []: p = [ 2, 3, 5, 7]}
- \end{block}
-\begin{lstlisting}
-In []: p[1:3]
-Out[]: [3, 5]
-\end{lstlisting}
-\emphbar{A slice}
-\begin{lstlisting}
-In []: p[0:-1]
-Out[]: [2, 3, 5]
-In []: p[1:]
-Out[]: [3, 5, 7]
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[plain,fragile]
- \frametitle{List: Slicing \ldots}
- \vspace*{-0.1in}
- \begin{small}
- \begin{block}{Remember\ldots}
- \kwrd{In []: p = [ 2, 3, 5, 7]}
-\end{block}
-\end{small}
-\begin{lstlisting}
-In []: p[0:4:2]
-Out[]: [2, 5]
-In []: p[0::2]
-Out[]: [2, 5]
-In []: p[::2]
-Out[]: [2, 5]
-In []: p[::3]
-Out[]: [2, 7]
-In []: p[::-1]
-Out[]: [7, 5, 3, 2]
-\end{lstlisting}
-\alert{\typ{list[initial:final:step]}}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{List: Slicing}
- \begin{block}{Remember\ldots}
- \kwrd{In []: p = [ 2, 3, 5, 7]}
- \end{block}
- What is the output of the following?
-\begin{lstlisting}
-In []: p[1::2]
-
-In []: p[1:-1:2]
-\end{lstlisting}
-\end{frame}
-
-
-%% more on list slicing
-\begin{frame}[fragile]
-\frametitle{List operations}
-\begin{lstlisting}
-In []: b = [ 11, 13, 17]
-In []: c = p + b
-
-In []: c
-Out[]: [2, 3, 5, 7, 11, 13, 17]
-
-In []: p.append(11)
-In []: p
-Out[]: [ 2, 3, 5, 7, 11]
-\end{lstlisting}
-Question: Does \typ{c} change now that \typ{p} is changed?
-\inctime{10}
-\end{frame}
-
-\section{Simple Pendulum}
-\begin{frame}[fragile]
-\frametitle{Simple Pendulum - L and T}
-Let us look at the Simple Pendulum experiment.
-\begin{center}
-\begin{small}
-\begin{tabular}{| c | c | c |}
-\hline
-$L$ & $T$ & $T^2$ \\ \hline
-0.2 & 0.90 & \\ \hline
-0.3 & 1.19 & \\ \hline
-0.4 & 1.30 & \\ \hline
-0.5 & 1.47 & \\ \hline
-0.6 & 1.58 & \\ \hline
-0.7 & 1.77 & \\ \hline
-0.8 & 1.83 & \\ \hline
-\end{tabular}
-\end{small}\\
-\alert{$L \alpha T^2$}
-\end{center}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Lets use lists}
-\begin{lstlisting}
-In []: L = [0.2, 0.3, 0.4, 0.5,
- 0.6, 0.7, 0.8]
-
-In []: t = [0.90, 1.19, 1.30,
- 1.47, 1.58, 1.77,
- 1.83]
-\end{lstlisting}
-\alert{Gotcha}: Make sure \typ{L} and \typ{t} have the same number
-of elements
-
-\begin{lstlisting}
-In []: print(len(L), len(t))
-\end{lstlisting}
-
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Plotting $L$ vs $T^2$}
-\begin{itemize}
-\item We must square each of the values in \typ{t}
-\item How do we do it?
-\item We use a \kwrd{for} loop to iterate over \typ{t}
-\end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Looping with \texttt{for}}
-\begin{lstlisting}
-In []: for time in t:
- ....: print(time*time)
- ....:
- ....:
-\end{lstlisting}
-This will print the square of each item in the list, \typ{t}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Plotting $L$ vs $T^2$}
-\begin{lstlisting}
-In []: tsq = []
-
-In []: for time in t:
- ....: tsq.append(time*time)
- ....:
- ....:
-
-\end{lstlisting}
-This gives \typ{tsq} which is the list of squares of \typ{t} values.
-\begin{lstlisting}
-In []: print(len(L), len(t), len(tsq))
-Out[]: (7, 7, 7)
-
-In []: plot(L, tsq)
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
-\begin{figure}
-\includegraphics[width=3.5in]{data/L-TSq-limited.png}
-\end{figure}
-\inctime{10}
-\end{frame}
-
-
-\begin{frame}[fragile]
-\frametitle{Don't repeat yourself: functions}
-\noindent Let us define a function to square the list
-\begin{lstlisting}
-In []: def sqr(arr):
- ...: result = []
- ...: for x in arr:
- ...: result.append(x*x)
- ...: return result
- ...:
-
-In []: tsq = sqr(t)
-
-\end{lstlisting} %$
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{More on defining functions}
- \begin{itemize}
- \item Consider the function \texttt{f(x) = x\textasciicircum{}2}
- \item Let's write a Python function, equivalent to this
- \end{itemize}
- \begin{lstlisting}
- In[]: def f(x):
- ....: return x*x
- ....:
-
- In[]: f(1)
- In[]: f(2)
- \end{lstlisting}
- \begin{itemize}
- \item \texttt{def} is a keyword
- \item \texttt{f} is the name of the function
- \item \texttt{x} the parameter of the function (local variable)
- \item \texttt{return} is a keyword
- \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Aside: Exercise}
- \begin{itemize}
- \item Write a function called \typ{mysum(a, b)} that returns sum of two
- arguments.
- \end{itemize}
- \pause
-\begin{lstlisting}
-In []: def mysum(a, b):
- ...: return a + b
- ...:
-In []: mysum(1, 2)
-
-In []: mysum([1, 2], [3, 4])
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{This seems tedious}
-
- \begin{itemize}
- \item Do we have to write a function just to get the square of a list?
- \item Lists
-\begin{itemize}
- \item Nice
- \item Not too convenient for math
- \item Slow
-\end{itemize}
-\item Enter NumPy arrays
- \begin{itemize}
- \item Fixed size, data type
- \item Very convenient
- \item Fast
- \end{itemize}
- \end{itemize}
- \inctime{10}
-\end{frame}
-
-\subsection{\num\ arrays}
-
-\begin{frame}[fragile]
-\frametitle{NumPy arrays}
-\begin{lstlisting}
-In []: t = array(t)
-
-In []: tsq = t*t
-
-In []: print(tsq)
-
-In []: plot(L, tsq) # works!
-\end{lstlisting} %$
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Speed?}
-
-\noindent Lets use range to create a large list.
-
-\begin{lstlisting}
-In []: t = range(1000000)
-
-In []: tsq = sqr(t)
-
-\end{lstlisting} %$
-
-\noindent Now try it with
-
-\begin{lstlisting}
-In []: t = array(t)
-
-In []: tsq = t*t
-\end{lstlisting}
-\ldots
-\end{frame}
-
-
-\begin{frame}[fragile]
- \frametitle{IPython tip: Timing}
-
-Try the following:
- \begin{lstlisting}
-In []: %timeit sqr(t)
-
-In []: %timeit?
-
- \end{lstlisting}
-
- \begin{itemize}
- \item \typ{\%timeit}: accurate, many measurements
- \item Can also use \typ{\%time}
- \item \typ{\%time}: less accurate, one measurement
- \end{itemize}
-
-\inctime{10}
-\end{frame}
-
-
-\begin{frame}[fragile]
-\frametitle{Exercise}
-\begin{center}
- Find out the speed difference between the \typ{sqr} function and
- \typ{t*t} on the numpy array.
-\end{center}
-
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Solution}
-\begin{lstlisting}
-In []: t = linspace(0, 10, 100000)
-In []: %timeit sqr(t)
-In []: %timeit t*t
-\end{lstlisting}
- \inctime{5}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Summary}
-\begin{itemize}
-\item Plot attributes
-\item plotting points
-\item Lists
-\item Defining simple functions
-\item Introduction to \num\ arrays
-\item Timing with \typ{\%timeit}
-\end{itemize}
-\end{frame}
-
-\end{document}