Added all day 2 slides.
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/day2/exercises.tex Tue Nov 10 16:26:47 2009 +0530
@@ -0,0 +1,201 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
+% Copyright (c) 2005-2009, Prabhu Ramachandran
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\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]{\texttt{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+
+%%% 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[Exercises]{Exercises}
+
+\author[FOSSEE] {FOSSEE}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {8 November, 2009\\Day 2}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\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}
+}
+
+
+% 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}{Problem 1.1}
+ The aliquot of a number is defined as: the sum of the \emph{proper} divisors of the number. For example:\\
+aliquot(12) = 1 + 2 + 3 + 4 + 6 = 16.\\
+ Write a function that returns the aliquot number of a given number.
+\end{frame}
+
+\begin{frame}{Problem 1.2}
+ Pair of numbers (a, b) is said to be \alert{amicable} if aliquot number of a is b and aliquot number of b is a.\\
+ Example: \texttt{220, 284}\\
+ Write a program that prints all four digit amicable pairs.
+
+\inctime{20}
+\end{frame}
+
+%% \begin{frame}{Problem 2}
+%% Given an empty chessboard and one Bishop placed in any s%quare, say (r, c), generate the list of all squares the Bi%shop could move to.
+
+%% \end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Problem 2}
+ Given a string of numbers like, ``1, 3-7, 12, 15, 18-21'', produce the following list \\
+ \begin{lstlisting}
+ [1,3,4,5,6,7,12,15,18,19,20,21]
+ \end{lstlisting}
+\inctime{10}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Problem 3}
+ Count frequencies of words in a file.
+\inctime{25}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Problem set 4}
+ Central difference
+ \begin{equation*}
+ \frac{sin(x+h)-sin(x-h)}{2h}
+ \end{equation*}
+ \begin{lstlisting}
+ In []: x = linspace(0, 2*pi, 100)
+ In []: y = sin(x)
+ In []: deltax = x[1] - x[0]
+ \end{lstlisting}
+ \pause
+ \begin{enumerate}
+ \item Given this, get the finite difference of sin in the range 0 to 2*pi
+ \end{enumerate}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Problem Set 5}
+ \begin{itemize}
+ \item[5.1] Write a function that plots any regular n-gon given \typ{n}.
+ \item[5.2] Consider the logistic map, $f(x) = kx(1-x)$, plot it for
+ $k=2.5, 3.5$ and $4$ in the same plot.
+\end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Problem Set 5}
+ \begin{columns}
+ \column{0.6\textwidth}
+ \small{
+ \begin{itemize}
+ \item[3] Consider the iteration $x_{n+1} = f(x_n)$ where $f(x) = kx(1-x)$. Plot the successive iterates of this process as explained below.
+ \end{itemize}}
+ \column{0.35\textwidth}
+ \hspace*{-0.5in}
+ \includegraphics[height=1.6in, interpolate=true]{data/cobweb}
+\end{columns}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Problem Set 5.3}
+ Plot the cobweb plot as follows:
+ \begin{enumerate}
+ \item Start at $(x_0, 0)$ ($\implies$ i=0)
+ \item Draw a line to $(x_i, f(x_i))$
+ \item Set $x_{i+1} = f(x_i)$
+ \item Draw a line to $(x_{i+1}, x_{i+1})$
+ \item $(i\implies i+1)$
+ \item Repeat from 2 for as long as you want
+ \end{enumerate}
+\inctime{20}
+\end{frame}
+
+\end{document}
--- a/day2/session1.tex Tue Nov 10 12:21:29 2009 +0530
+++ b/day2/session1.tex Tue Nov 10 16:26:47 2009 +0530
@@ -51,7 +51,8 @@
\setcounter{time}{0}
\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
-\newcommand{\typ}[1]{\texttt{#1}}
+\newcommand{\typ}[1]{\lstinline{#1}}
+
\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
@@ -130,7 +131,7 @@
\begin{itemize}
\item Numbers: float, int, complex
\item Strings
- \item Boolean
+ \item Booleans
\end{itemize}
\end{frame}
@@ -138,7 +139,7 @@
\begin{frame}[fragile]
\frametitle{Numbers}
\begin{itemize}
- \item \kwrd{int}\\ \kwrd{int} = whole number, no matter what the size!
+ \item \kwrd{int}\\ whole number, no matter what the size!
\begin{lstlisting}
In []: a = 13
@@ -167,9 +168,9 @@
\end{lstlisting}
\end{frame}
-\subsection{Boolean}
+\subsection{Booleans}
\begin{frame}[fragile]
- \frametitle{Boolean}
+ \frametitle{Booleans}
\begin{lstlisting}
In []: t = True
@@ -211,15 +212,19 @@
In []: print w[0] + w[2] + w[-1]
Out[]: hlo
-In []: len(w) # guess what
+In []: len(w)
Out[]: 5
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Strings \ldots}
+ \emphbar{Strings are immutable}
\begin{lstlisting}
-In []: w[0] = 'H' # Can't do that!
+In []: w[0] = 'H'
+ \end{lstlisting}
+ \pause
+ \begin{lstlisting}
--------------------------------------------
TypeError Traceback (most recent call last)
@@ -248,7 +253,7 @@
\end{lstlisting}
\end{frame}
-\begin{frame}
+\begin{frame}[fragile]
\frametitle{A bit about IPython}
\begin{itemize}
\item IPython provides better help
@@ -265,7 +270,7 @@
\end{frame}
\begin{frame}[fragile]
-\frametitle{Still with strings}
+ \frametitle{Still with strings}
\begin{itemize}
\item We saw split() yesterday
\item join() is the opposite of split()
@@ -294,6 +299,7 @@
\section{Operators}
\begin{frame}[fragile]
\frametitle{Arithmetic operators}
+ \small
\begin{lstlisting}
In []: 1786 % 12
Out[]: 10
@@ -351,15 +357,15 @@
\begin{frame}[fragile]
\frametitle{String operations}
\begin{lstlisting}
-In []: s = 'Hello '
+In []: s = 'Hello'
In []: p = 'World'
In []: s + p
-Out[]: 'Hello World'
+Out[]: 'HelloWorld'
In []: s * 4
-Out[]: 'Hello Hello Hello Hello'
+Out[]: 'HelloHelloHelloHello'
\end{lstlisting}
\end{frame}
@@ -367,13 +373,16 @@
\frametitle{String operations \ldots}
\begin{lstlisting}
In []: s * s
+ \end{lstlisting}
+ \pause
+ \begin{lstlisting}
--------------------------------------------
TypeError Traceback (most recent call last)
/<ipython console> in <module>()
-TypeError: can't multiply sequence by
- non-int of type 'str'
+TypeError: can`t multiply sequence by
+ non-int of type `str`
\end{lstlisting}
\end{frame}
@@ -401,7 +410,7 @@
In []: int(17 / 2.0)
Out[]: 8
-In []: float(17 / 2) # Recall
+In []: float(17 / 2)
Out[]: 8.0
In []: str(17 / 2.0)
@@ -455,7 +464,7 @@
\frametitle{Simple IO: Console output}
\begin{itemize}
\item \texttt{print} is straight forward
- \item Put the following code snippet in a file
+ \item Put the following code snippet in a file \emph{hello1.py}
\end{itemize}
\begin{lstlisting}
print "Hello"
@@ -470,7 +479,7 @@
\begin{frame}[fragile]
\frametitle{Simple IO: Console output \ldots}
-Put the following code snippet in a file
+Put the following code snippet in a file \emph{hello2.py}
\begin{lstlisting}
print "Hello",
print "World"
@@ -522,7 +531,7 @@
\begin{lstlisting}
...
a = raw_input('Enter number(Q to quit):')
-num = int(a) if a != 'Q' else break
+num = int(a) if a != 'Q' else 0
...
\end{lstlisting}
\end{frame}
--- a/day2/session2.tex Tue Nov 10 12:21:29 2009 +0530
+++ b/day2/session2.tex Tue Nov 10 16:26:47 2009 +0530
@@ -51,7 +51,7 @@
\setcounter{time}{0}
\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
-\newcommand{\typ}[1]{\texttt{#1}}
+\newcommand{\typ}[1]{\lstinline{#1}}
\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
@@ -127,10 +127,10 @@
\subsection{Basic Looping}
\begin{frame}[fragile]
\frametitle{\typ{while}}
-Example: Fibonacci series
+\begin{block}{Example: Fibonacci series}
+ Sum of previous two elements defines the next
+\end{block}
\begin{lstlisting}
-# the sum of two elements
-# defines the next
In []: a, b = 0, 1
In []: while b < 10:
...: print b,
@@ -145,23 +145,24 @@
\frametitle{\typ{range()}}
\kwrd{range([start,] stop[, step])}\\
\begin{itemize}
- \item range() returns a list of integers
- \item The \emph{start} and the \emph{step} arguments are optional
- \item \emph{stop} argument is not included in the list
+ \item \typ{range()} returns a list of integers
+ \item The \typ{start} and the \typ{step} arguments are optional
+ \item \typ{stop} is not included in the list
\end{itemize}
\vspace*{.5in}
-\begin{itemize}
- \item \alert{Anything within \typ{[]} is optional}
+\begin{block}{Documentation convention}
\begin{itemize}
- \item Nothing to do with Python.
+ \item \alert{Anything within \typ{[]} is optional}
+ \begin{itemize}
+ \item Nothing to do with Python.
+ \end{itemize}
\end{itemize}
-\end{itemize}
-
+\end{block}
\end{frame}
\begin{frame}[fragile]
- \frametitle{\typ{for} \ldots \typ{range()}}
-Example: print squares of first \typ{n} numbers
+ \frametitle{\texttt{for} \ldots \typ{range()}}
+Example: print squares of first \typ{5} numbers
\begin{lstlisting}
In []: for i in range(5):
....: print i, i * i
@@ -176,7 +177,7 @@
\end{frame}
\begin{frame}[fragile]
- \frametitle{\typ{for} \ldots \typ{range()}}
+ \frametitle{\texttt{for} \ldots \typ{range()}}
Example: print squares of odd numbers from 3 to 9
\begin{lstlisting}
In []: for i in range(3, 10, 2):
@@ -240,6 +241,9 @@
\begin{lstlisting}
In []: num = [1, 2, 3, 4]
+In []: num + [9, 10, 11]
+Out[]: [1, 2, 3, 4, 9, 10, 11]
+
In []: num.append([9, 10, 11])
In []: num
@@ -325,7 +329,6 @@
In []: t[0] + t[3] + t[-1]
Out[]: 13
-# Try the following!
In []: t[4] = 7
\end{lstlisting}
\pause
@@ -361,8 +364,8 @@
Out[]: 52.530000000000001
\end{lstlisting}
\begin{block}{Note!}
- Duplicate keys are not allowed!\\
- Dictionaries are iterable through keys.
+ Duplicate keys $\Rightarrow$ overwritten!\\
+ You can iterate through a dictionary using keys.
\end{block}
\end{frame}
@@ -375,6 +378,12 @@
In []: 'Econ' in player
Out[]: False
\end{lstlisting}
+ \begin{block}{Note}
+ \begin{itemize}
+ \item We can check for the containership of keys only
+ \item Not values
+ \end{itemize}
+ \end{block}
\end{frame}
\begin{frame}[fragile]
@@ -384,17 +393,18 @@
Out[]: ['Runs', 'Inn', 'Avg', 'Mat']
In []: player.values()
-Out[]: [10823, 233, 52.530000000000001, 134]
+Out[]: [10823, 233,
+ 52.530000000000001, 134]
\end{lstlisting}
\end{frame}
\begin{frame} {Problem Set 2.1: Problem 2.1.1}
-You are given date strings of the form ``29, Jul 2009'', or ``4 January 2008''. In other words a number, a string and another number, with a comma sometimes separating the items.\\Write a function that takes such a string and returns a tuple (yyyy, mm, dd) where all three elements are ints.
+You are given date strings of the form ``29 Jul, 2009'', or ``4 January 2008''. In other words a number, a string and another number, with a comma sometimes separating the items.\\Write a function that takes such a string and returns a tuple (yyyy, mm, dd) where all three elements are ints.
\end{frame}
-\subsection{Set}
+\subsection{Sets}
\begin{frame}[fragile]
- \frametitle{Set}
+ \frametitle{Sets}
\begin{itemize}
\item Simplest container, mutable
\item No ordering, no duplicates
@@ -447,18 +457,14 @@
\end{frame}
\begin{frame}
- \frametitle{Problem set 2.2}
- \begin{description}
- \item[2.2.1] Given a dictionary of the names of students and their marks, identify how many duplicate marks are there? and what are these?
-\end{description}
-\inctime{15}
+ \frametitle{Problem set 2.2: Problem 2.2.1}
+Given a dictionary of the names of students and their marks, identify how many duplicate marks are there? and what are these?
\end{frame}
\begin{frame}
- \frametitle{Problem set 2.2}
- \begin{description}
- \item[2.2.2] Given a list of words, find all the anagrams in the list
-\end{description}
+ \frametitle{Problem 2.2.2}
+Given a list of words, find all the anagrams in the list.
+
\inctime{15}
\end{frame}
@@ -468,7 +474,6 @@
\begin{itemize}
\item \kwrd{def} - keyword to define a function
\item Arguments are local to a function
- \item Docstrings are important!
\item Functions can return multiple values
\end{itemize}
\end{frame}
@@ -487,6 +492,7 @@
else:
return 0
\end{lstlisting}
+ \emphbar{Note docstrings}
\end{frame}
\begin{frame}[fragile]
@@ -517,8 +523,15 @@
\frametitle{What did we learn?}
\begin{itemize}
\item Loops: \kwrd{while}, \kwrd{for}
- \item Advanced Data structures
+ \item Advanced Data structures:
+ \begin{itemize}
+ \item Lists
+ \item Tuples
+ \item Dictionaries
+ \item Sets
+ \end{itemize}
\item Functions
+ \item Docstrings
\end{itemize}
\end{frame}
--- a/day2/session3.tex Tue Nov 10 12:21:29 2009 +0530
+++ b/day2/session3.tex Tue Nov 10 16:26:47 2009 +0530
@@ -1,48 +1,33 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Tutorial slides on Python.
+%Tutorial slides on Python.
%
-% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
-% Copyright (c) 2005-2009, Prabhu Ramachandran
+% Author: FOSSEE
+% Copyright (c) 2009, FOSSEE, IIT Bombay
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\documentclass[compress,14pt]{beamer}
-% \documentclass[handout]{beamer}
-% \usepackage{pgfpages}
-% \pgfpagesuselayout{4 on 1}[a4paper,border, shrink=5mm,landscape]
-\usepackage{tikz}
-\newcommand{\hyperlinkmovie}{}
-%\usepackage{movie15}
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages}
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Note that in presentation mode
-% \paperwidth 364.19536pt
-% \paperheight 273.14662pt
-% h/w = 0.888
-
-
+% Modified from: generic-ornate-15min-45min.de.tex
\mode<presentation>
{
\usetheme{Warsaw}
- %\usetheme{Boadilla}
- %\usetheme{default}
\useoutertheme{infolines}
\setbeamercovered{transparent}
}
-% To remove navigation symbols
-\setbeamertemplate{navigation symbols}{}
-
-\usepackage{amsmath}
\usepackage[english]{babel}
\usepackage[latin1]{inputenc}
-\usepackage{times}
+%\usepackage{times}
\usepackage[T1]{fontenc}
% Taken from Fernando's slides.
\usepackage{ae,aecompl}
\usepackage{mathpazo,courier,euler}
\usepackage[scaled=.95]{helvet}
-\usepackage{pgf}
\definecolor{darkgreen}{rgb}{0,0.5,0}
@@ -55,65 +40,50 @@
keywordstyle=\color{blue}\bfseries}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% My Macros
-\setbeamercolor{postit}{bg=yellow,fg=black}
+% Macros
\setbeamercolor{emphbar}{bg=blue!20, fg=black}
\newcommand{\emphbar}[1]
{\begin{beamercolorbox}[rounded=true]{emphbar}
{#1}
\end{beamercolorbox}
}
-%{\centerline{\fcolorbox{gray!50} {blue!10}{
-%\begin{minipage}{0.9\linewidth}
-% {#1}
-%\end{minipage}
-% }}}
-
-\newcommand{\myemph}[1]{\structure{\emph{#1}}}
-\newcommand{\PythonCode}[1]{\lstinline{#1}}
-
-\newcommand{\tvtk}{\texttt{tvtk}}
-\newcommand{\mlab}{\texttt{mlab}}
-
\newcounter{time}
\setcounter{time}{0}
-\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\lstinline{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
-\newcommand\BackgroundPicture[1]{%
- \setbeamertemplate{background}{%
- \parbox[c][\paperheight]{\paperwidth}{%
- \vfill \hfill
- \hfill \vfill
-}}}
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Configuring the theme
-%\setbeamercolor{normal text}{fg=white}
-%\setbeamercolor{background canvas}{bg=black}
-
+%%% 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[3D Plotting]{3D data Visualization}
+\title[Basic Python]{Python language: Functions, modules and objects}
-\author[FOSSEE] {FOSSEE}
+\author[FOSSEE Team] {The FOSSEE Group}
\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {8 November, 2009\\Day 2, Session 5}
-
+\date[] {8 November, 2009\\Day 2, Session 3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
-%\logo{\pgfuseimage{iitblogo}}
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
-\AtBeginSection[]
-{
- \begin{frame}<beamer>
- \frametitle{Outline}
- \tableofcontents[currentsection,currentsubsection]
- \end{frame}
-}
%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
@@ -132,12 +102,19 @@
\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}
- \maketitle
+ \titlepage
\end{frame}
\begin{frame}
@@ -146,419 +123,312 @@
% You might wish to add the option [pausesections]
\end{frame}
-\section{3D Data Visualization}
+\section{Functions}
+\subsection{Default arguments}
+\begin{frame}[fragile]
+ \frametitle{Functions: default arguments}
+ \begin{lstlisting}
+In []: greet = 'hello world'
-\begin{frame}
- \frametitle{What is visualization?}
- \Large
- \begin{center}
- Visual representation of data
- \end{center}
+In []: greet.split()
+Out[]: ['hello', 'world']
+
+In []: line = 'Rossum, Guido, 54, 46, 55'
+
+In []: line.split(',')
+Out[]: ['Rossum', ' Guido', ' 54',
+ ' 46', ' 55']
+ \end{lstlisting}
\end{frame}
+\begin{frame}[fragile]
+ \frametitle{Functions: default arguments \ldots}
+ \begin{lstlisting}
+In []: def welcome(greet, name="World"):
+ .... print greet, name
-%% \begin{frame}
-%% \frametitle{Is this new?}
-%% \begin{center}
-%% We have moved from:
-%% \end{center}
-%% \begin{columns}
-%% \column{}
-%% \hspace*{-1in}
-%% \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832}
-%% \column{}\hspace*{-0.25in}
-%% To
-%% \column{}
-%% \hspace*{-1in}
-%% \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus}
-%% \end{columns}
-%% \end{frame}
+In []: welcome("Hello")
+Hello World
+
+In []: welcome("Hi", "Guido")
+Hi Guido
+ \end{lstlisting}
+\end{frame}
+
+\subsection{Keyword arguments}
+\begin{frame}[fragile]
+ \frametitle{Functions: Keyword arguments}
+We have seen the following
+\begin{lstlisting}
+In []: legend(['sin(2y)'],
+ loc = 'center')
+
+In []: plot(y, sin(y), 'g',
+ linewidth = 2)
-\begin{frame}
- \frametitle{3D visualization}
- \Large
- \begin{center}
- Harder but important
- \end{center}
+In []: annotate('local max',
+ xy = (1.5, 1))
+
+In []: pie(science.values(),
+ labels = science.keys())
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Functions: keyword arguments \ldots}
+ \begin{lstlisting}
+In []: def welcome(greet, name="World"):
+ .... print greet, name
+
+In []: welcome("Hello", "James")
+Hello James
+
+In []: welcome("Hi", name="Guido")
+Hi Guido
+
+In []: welcome(name="Guido", greet="Hey")
+Hey Guido
+ \end{lstlisting}
\end{frame}
+\subsection{Built-in functions}
\begin{frame}
- \frametitle{Is this Graphics?}
- \Large
- \begin{center}
- Visualization is about data!
- \end{center}
+ {Before writing a function}
+ \begin{itemize}
+ \item Variety of built-in functions are available
+ \item \typ{abs, any, all, len, max, min}
+ \item \typ{pow, range, sum, type}
+ \item Refer here:
+ \url{http://docs.python.org/library/functions.html}
+ \end{itemize}
+ \inctime{10}
+\end{frame}
+
+\subsection{Exercises}
+\begin{frame}{Problem set 3: Problem 3.1}
+ Write a function to return the gcd of two numbers.
\end{frame}
-\begin{frame}
- \frametitle{Examples: trajectory in space}
- \Large
- \begin{center}
- \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
- \end{center}
+\begin{frame}{Problem 3.2}
+Write a program to print all primitive pythagorean triads (a, b, c) where a, b are in the range 1---100 \\
+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 is also not primitive.
+\end{frame}
+
+\begin{frame}{Problem 3.3}
+ Write a program that generates a list of all four digit numbers that have all their digits even and are perfect squares.\newline\\\emph{For example, the output should include 6400 but not 8100 (one digit is odd) or 4248 (not a perfect square).}
+
+\inctime{15}
+\end{frame}
+
+\section{Modules}
+\begin{frame}[fragile]
+ \frametitle{\texttt{from} \ldots \texttt{import} magic}
+ \begin{lstlisting}
+from scipy.integrate import odeint
+
+from scipy.optimize import fsolve
+ \end{lstlisting}
+\emphbar{Above statements import a function to our namespace}
\end{frame}
-\begin{frame}
- \frametitle{Examples: Fire in a room}
- \Large
- \begin{center}
- Demo of data
- \end{center}
-\inctime{10}
+\begin{frame}[fragile]
+ \frametitle{Running scripts from command line}
+ \small
+ \begin{itemize}
+ \item Fire up a terminal
+ \item python four\_plot.py
+ \end{itemize}
+ \pause
+ \begin{lstlisting}
+Traceback (most recent call last):
+ File "four_plot.py", line 1, in <module>
+ x = linspace(-5*pi, 5*pi, 500)
+NameError: name 'linspace' is not defined
+ \end{lstlisting}
\end{frame}
-\section{Tools available}
-
-\subsection{mlab}
+\begin{frame}[fragile]
+ \frametitle{Remedy}
+ \begin{lstlisting}
+from scipy import *
+ \end{lstlisting}
+\alert{Now run python four\_plot.py again!}
+ \pause
+ \begin{lstlisting}
+Traceback (most recent call last):
+ File "four_plot.py", line 4, in <module>
+ plot(x, x, 'b')
+NameError: name 'plot' is not defined
+ \end{lstlisting}
+\end{frame}
-\begin{frame}
- {Overview}
- \Large
- \begin{itemize}
- \item Simple
- \item Convenient
- \item Full-featured
+\begin{frame}[fragile]
+ \frametitle{Remedy \ldots}
+ \begin{lstlisting}
+from pylab import *
+ \end{lstlisting}
+\alert{Now run python four\_plot.py again!!}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Modules}
+ \begin{itemize}
+ \item The \kwrd{import} keyword ``loads'' a module
+ \item One can also use:
+ \begin{lstlisting}
+In []: from scipy import *
+In []: from scipy import linspace
+ \end{lstlisting}
+ \item What is the difference?
+ \item \alert{Use the former only in interactive mode}
\end{itemize}
\end{frame}
\begin{frame}[fragile]
-
- \frametitle{Getting started}
- \myemph{\Large Vanilla:}
- \begin{lstlisting}[language=bash]
- $ ipython -wthread
- \end{lstlisting}
- \myemph{\Large with Pylab:}
- \begin{lstlisting}[language=bash]
- $ ipython -pylab -wthread
- \end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Using mlab}
-
- \begin{lstlisting}
-In []:from enthought.mayavi import mlab
- \end{lstlisting}
-
- \vspace*{0.5in}
-
- \myemph{\Large Try these}
-
- \vspace*{0.25in}
-
- \begin{lstlisting}
-In []: mlab.test_<TAB>
-In []: mlab.test_contour3d()
-In []: mlab.test_contour3d??
- \end{lstlisting}
-\end{frame}
-
-\begin{frame}
- {Exploring the view}
- \begin{columns}
- \column{0.6\textwidth}
- \pgfimage[width=3in]{MEDIA/m2/contour3d}
- \column{0.4\textwidth}
- \begin{itemize}
- \item Mouse
- \item Keyboard
- \item Toolbar
- \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon}
- \end{itemize}
- \end{columns}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Clearing the plot area}
- \PythonCode{In []: mlab.clf()}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{\mlab\ plotting functions}
- \begin{columns}
- \column{0.25\textwidth}
- \myemph{\Large 0D data}
- \column{0.5\textwidth}
- \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex}
- \end{columns}
-
- \begin{lstlisting}
-In []: t = linspace(0, 2*pi, 50)
-In []: u = cos(t) * pi
-In []: x, y, z = sin(u), cos(u), sin(t)
- \end{lstlisting}
- \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}}
-\end{frame}
+ \frametitle{Package hierarchies}
+ \begin{lstlisting}
+from scipy.integrate import odeint
-\begin{frame}
- \begin{columns}
- \column{0.25\textwidth}
- \myemph{\Large 1D data}
- \column{0.5\textwidth}
- \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
- \end{columns}
- \PythonCode{In []: mlab.clf()}
- \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}}
-
- Plots lines between the points
-
-\end{frame}
-
-\begin{frame}[fragile]
- \begin{columns}
- \column{0.25\textwidth}
- \myemph{\Large 2D data}
- \column{0.5\textwidth}
- \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex}
- \end{columns}
- \begin{lstlisting}
-In []: x, y = mgrid[-3:3:100j,-3:3:100j]
-In []: z = sin(x*x + y*y)
- \end{lstlisting}
-
- \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}}
-
- \alert{Assumes the points are rectilinear}
-
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{mgrid}
- \begin{lstlisting}
-In []: mgrid[0:3,0:3]
-Out[]:
-array([[[0, 0, 0],
- [1, 1, 1],
- [2, 2, 2]],
-
- [[0, 1, 2],
- [0, 1, 2],
- [0, 1, 2]]])
-
-In []: mgrid[-1:1:5j]
-Out[]: array([-1., -0.5, 0., 0.5, 1.])
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Example}
- \begin{lstlisting}
-In []: x, y = mgrid[-1:1:5j, -1:1:5j]
-In []: z = x*x + y*y
-
-In []: z
-Out[]:
-array([[ 2. , 1.25, 1. , 1.25, 2. ],
- [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
- [ 1. , 0.25, 0. , 0.25, 1. ],
- [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
- [ 2. , 1.25, 1. , 1.25, 2. ]])
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \myemph{\Large 2D data: \texttt{mlab.mesh}}
- \vspace*{0.25in}
-
- \emphbar{\PythonCode{In []: mlab.mesh(x, y, z)}}
-
- \alert{Points needn't be regular}
-
- \vspace*{0.25in}
-\begin{lstlisting}
-In []: phi, theta = mgrid[0:pi:20j,
-... 0:2*pi:20j]
-In []: x = sin(phi)*cos(theta)
-In []: y = sin(phi)*sin(theta)
-In []: z = cos(phi)
-In []: mlab.mesh(x, y, z,
-... representation=
-... 'wireframe')
-\end{lstlisting}
-
+from scipy.optimize import fsolve
+ \end{lstlisting}
\end{frame}
\begin{frame}[fragile]
+ \frametitle{\texttt{from} \ldots \texttt{import} - conventional way!}
+ \small
+ \begin{lstlisting}
+from scipy import linspace, pi, sin
+from pylab import plot, legend, annotate
+from pylab import xlim, ylim
- \begin{columns}
- \column{0.25\textwidth}
- \myemph{\Large 3D data}
- \column{0.5\textwidth}
- \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\
- \end{columns}
-\begin{lstlisting}
-In []: x, y, z = mgrid[-5:5:64j,
-... -5:5:64j,
-... -5:5:64j]
-In []: mlab.contour3d(x*x*0.5 + y*y +
- z*z*2)
-\end{lstlisting}
+x = linspace(-5*pi, 5*pi, 500)
+plot(x, x, 'b')
+plot(x, -x, 'b')
+plot(x, sin(x), 'g', linewidth=2)
+plot(x, x*sin(x), 'r', linewidth=3)
+legend(['x', '-x', 'sin(x)', 'xsin(x)'])
+annotate('origin', xy = (0, 0))
+xlim(-5*pi, 5*pi)
+ylim(-5*pi, 5*pi)
+ \end{lstlisting}
\end{frame}
\begin{frame}[fragile]
-
- \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
- \vspace*{0.25in}
-
- \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
-
-\begin{lstlisting}
-In []: mlab.test_quiver3d()
-\end{lstlisting}
-
-\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
-\inctime{20}
-\end{frame}
-
-
-\subsection{Mayavi2}
-
-\begin{frame}
- \frametitle{Introduction to Mayavi}
- \begin{itemize}
- \item Most scientists not interested in details of visualization
- \item Visualization of data files with a nice UI
- \item Interactive visualization of data (think Matlab)
- \item Embedding visualizations in applications
- \item Customization
- \end{itemize}
- \pause
- \begin{block}{The Goal}
- Provide a \alert{flexible} library/app for all of these needs!
- \end{block}
-\end{frame}
-
-\begin{frame}
- {Overview of features}
- \vspace*{-0.3in}
- \begin{center}
- \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
- \end{center}
-\end{frame}
-
-
-\begin{frame}
- \frametitle{Mayavi in applications}
- \vspace*{-0.3in}
- \begin{center}
- \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
- \end{center}
-\end{frame}
-
-\begin{frame}
- \frametitle{Live in your dialogs}
- \vspace*{0.1in}
- \begin{center}
- \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui}
- \end{center}
-\end{frame}
-
-\begin{frame}
- {Exploring the documentation}
- \begin{center}
- \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
- \end{center}
-\end{frame}
-
+ \frametitle{\texttt{from} \ldots \texttt{import} - conventional way!}
+ \small
+ \begin{lstlisting}
+import scipy
+import pylab
-\begin{frame}
- \frametitle{Summary}
- \begin{itemize}
- \item \url{http://code.enthought.com/projects/mayavi}
- \item Uses VTK (\url{www.vtk.org})
- \item BSD license
- \item Linux, win32 and Mac OS X
- \item Highly scriptable
- \item Embed in Traits UIs (wxPython and PyQt4)
- \item Envisage Plugins
- \item Debian/Ubuntu/Fedora
- \item \alert{Pythonic}
- \end{itemize}
-
- \inctime{10}
-
-\end{frame}
-
-\begin{frame}
- {Getting hands dirty!}
-
- \begin{block}{Motivational problem}
- Atmospheric data of temperature over the surface of the earth.
- Let temperature ($T$) vary linearly with height ($z$):
- \begin{center}
- $T = 288.15 - 6.5z$
- \end{center}
- \end{block}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Simple solution}
-
- \begin{lstlisting}
-lat = linspace(-89, 89, 37)
-lon = linspace(0, 360, 37)
-z = linspace(0, 100, 11)
- \end{lstlisting}
-\pause
- \begin{lstlisting}
-x, y, z = mgrid[0:360:37j,-89:89:37j,
- 0:100:11j]
-t = 288.15 - 6.5*z
-mlab.contour3d(x, y, z, t)
-mlab.outline()
-mlab.colorbar()
- \end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Exercise: Lorenz equation}
- \begin{columns}
- \column{0.25\textwidth}
- \begin{eqnarray*}
- \frac{d x}{dt} &=& s (y-x)\\
- \frac{d y}{d t} &=& rx -y -xz\\
- \frac{d z}{d t} &=& xy - bz\\
- \end{eqnarray*}
- \column{0.25\textwidth}
- Let $s=10,$
- $r=28,$
- $b=8./3.$
- \end{columns}
- \structure{\Large Region of interest}
- \begin{lstlisting}
-x, y, z = mgrid[-50:50:20j,-50:50:20j,
- -10:60:20j]
- \end{lstlisting}
-\inctime{20}
-
-\end{frame}
-\begin{frame}[fragile]
- \frametitle{Solution}
- \begin{lstlisting}
-def lorenz(x,y,z,s=10.,r=28.,b=8./3.):
- u = s*(y-x)
- v = r*x-y-x*z
- w = x*y-b*z
- return u,v,w
-x,y,z = mgrid [-50:50:20j,-50:50:20j,
- -10:60:20j ]
-u,v,w = lorenz( x , y , z )
-# Your plot here
-#
-mlab.show()
-
+x = scipy.linspace(-5*scipy.pi, 5*scipy.pi, 500)
+pylab.plot(x, x, 'b')
+pylab.plot(x, -x, 'b')
+pylab.plot(x, scipy.sin(x), 'g', linewidth=2)
+pylab.plot(x, x*scipy.sin(x), 'r', linewidth=3)
+pylab.legend(['x', '-x', 'sin(x)', 'xsin(x)'])
+pylab.annotate('origin', xy = (0, 0))
+pylab.xlim(-5*scipy.pi, 5*scipy.pi)
+pylab.ylim(-5*scipy.pi, 5*scipy.pi)
\end{lstlisting}
\end{frame}
\begin{frame}
- \frametitle{We have covered:}
+ \frametitle{Modules: Standard library}
\begin{itemize}
- \item Need of visualization.
- \item Using mlab to create 3 D plots.
- \item Mayavi Toolkit.
+ \item Very powerful, ``Batteries included''
+ \item Some standard modules:
+ \begin{itemize}
+ \item Math: \typ{math}, \typ{random}
+ \item Internet access: \typ{urllib2}, \typ{smtplib}
+ \item System, Command line arguments: \typ{sys}
+ \item Operating system interface: \typ{os}
+ \item Regular expressions: \typ{re}
+ \item Compression: \typ{gzip}, \typ{zipfile}, and \typ{tarfile}
+ \item And a whole lot more!
+ \end{itemize}
+ \item Check out the Python Library reference:
+ \url{http://docs.python.org/library/}
+ \end{itemize}
+\inctime{5}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Modules of special interest}
+ \begin{description}[matplotlibfor2d]
+ \item[\texttt{pylab}] Easy, interactive, 2D plotting
+
+ \item[\texttt{scipy}] arrays, statistics, optimization, integration, linear
+ algebra, Fourier transforms, signal and image processing,
+ genetic algorithms, ODE solvers, special functions, and more
+
+ \item[\texttt{Mayavi}] Easy, interactive, 3D plotting
+ \end{description}
+\end{frame}
+
+\section{Objects}
+\begin{frame}{Everything is an Object!}
+ \begin{itemize}
+ \item \typ{int}
+ \item \typ{float}
+ \item \typ{str}
+ \item \typ{list}
+ \item \typ{tuple}
+ \item \typ{string}
+ \item \typ{dictionary}
+ \item \typ{function}
+ \item User defined class is also an object!
+ \end{itemize}
+\end {frame}
+
+\begin{frame}[fragile]
+\frametitle{Using Objects}
+ \begin{itemize}
+ \item Creating Objects
+ \begin{itemize}
+ \item Initialization
+ \end{itemize}
+ \begin{lstlisting}
+In []: a = str()
+
+In []: b = "Hello World"
+ \end{lstlisting}
+ \item Object Manipulation
+ \begin{itemize}
+ \item Object methods
+ \item ``.'' operator
+ \end{itemize}
+ \begin{lstlisting}
+In []: "Hello World".split()
+Out[]: ['Hello', 'World']
+ \end{lstlisting}
\end{itemize}
\end{frame}
-\end{document}
+\begin{frame}[fragile]
+ \frametitle{Objects provide consistency}
+ \small
+ \begin{lstlisting}
+for element in (1, 2, 3):
+ print element
+for key in {'one':1, 'two':2}:
+ print key
+for char in "123":
+ print char
+for line in open("myfile.txt"):
+ print line
+for line in urllib2.urlopen('http://site.com'):
+ print line
+ \end{lstlisting}
+ \inctime{10}
+\end{frame}
+\begin{frame}
+ \frametitle{What did we learn?}
+ \begin{itemize}
+ \item Functions: Default and Keyword arguments
+ \item Modules
+ \item Objects
+ \end{itemize}
+\end{frame}
+
+\end{document}
\ No newline at end of file
--- a/day2/session4.tex Tue Nov 10 12:21:29 2009 +0530
+++ b/day2/session4.tex Tue Nov 10 16:26:47 2009 +0530
@@ -144,7 +144,7 @@
\begin{frame}[fragile]
\frametitle{gcd revisited!}
\begin{itemize}
- \item Open gcd.py
+ \item Open \texttt{gcd.py}
\end{itemize}
\begin{lstlisting}
def gcd(a, b):
@@ -156,15 +156,15 @@
print gcd(16, 76)
\end{lstlisting}
\begin{itemize}
- \item python gcd.py
+ \item \texttt{python gcd.py}
\end{itemize}
\end{frame}
\begin{frame}[fragile]
\frametitle{Find lcm using our gcd module}
\begin{itemize}
- \item Open lcm.py
- \item $lcm = \frac{a*b}{gcd(a,b)}$
+ \item Open \texttt{lcm.py}
+ \item $lcm = \frac{a * b}{gcd(a,b)}$
\end{itemize}
\begin{lstlisting}
from gcd import gcd
@@ -174,7 +174,7 @@
print lcm(14, 56)
\end{lstlisting}
\begin{itemize}
- \item python lcm.py
+ \item \texttt{python lcm.py}
\end{itemize}
\begin{lstlisting}
5
@@ -185,7 +185,7 @@
\begin{frame}[fragile]
\frametitle{Writing stand-alone module}
-Edit gcd.py file to:
+Edit \texttt{gcd.py} file to:
\begin{lstlisting}
def gcd(a, b):
if a % b == 0:
@@ -197,22 +197,23 @@
print gcd(16, 76)
\end{lstlisting}
\begin{itemize}
- \item python gcd.py
- \item python lcm.py
+ \item \texttt{python gcd.py}
+ \item \texttt{python lcm.py}
\end{itemize}
\end{frame}
\begin{frame}[fragile]
- \frametitle{More use of main}
- For automating tests.
+ \frametitle{Automating tests}
\begin{lstlisting}
if __name__ == '__main__':
for line in open('numbers.txt'):
numbers = line.split()
x = int(numbers[0])
y = int(numbers[1])
- result = (int(numbers[2]))
- assert gcd(x, y) == result
+ result = int(numbers[2])
+ if gcd(x, y) != result:
+ print "Failed gcd test
+ for", x, y
\end{lstlisting}
\end{frame}
@@ -242,7 +243,7 @@
\frametitle{Code Layout}
\begin{itemize}
\item Indentation
- \item Tabs or Spaces??
+ \item Tabs or Spaces?
\item Maximum Line Length
\item Blank Lines
\item Encodings
@@ -251,8 +252,8 @@
\begin{frame}{Whitespaces in Expressions}
\begin{itemize}
- \item When to use extraneous whitespaces??
- \item When to avoid extra whitespaces??
+ \item When to use extraneous whitespaces?
+ \item When to avoid extra whitespaces?
\item Use one statement per line
\end{itemize}
\end{frame}
@@ -319,43 +320,36 @@
\end{frame}
\begin{frame}[fragile]
+ \frametitle{Processing user input}
+ \begin{lstlisting}
+prompt = 'Enter a number(Q to quit): '
+
+a = raw_input(prompt)
+
+num = int(a) if a != 'Q' else 0
+ \end{lstlisting}
+ \emphbar{What if the user enters some other alphabet?}
+\end{frame}
+
+
+\begin{frame}[fragile]
\frametitle{Handling Exceptions}
- Python uses \typ{try} and \typ{except} clause.
- %%Revisiting the raw\_input
+ Python provides \typ{try} and \typ{except} clause.
\begin{lstlisting}
-a = raw_input('Enter number(Q to quit):')
+prompt = 'Enter a number(Q to quit): '
+
+a = raw_input(prompt)
try:
num = int(a)
print num
except:
if a == 'Q':
- print 'Exiting...'
+ print "Exiting ..."
else:
- print 'Wrong input!'
- \end{lstlisting}
-
-
+ print "Wrong input ..."
+ \end{lstlisting}
\end{frame}
-%% \begin{frame}[fragile]
-%% \frametitle{Solving it with \typ{try} and \typ{except}}
-%% \vspace{-0.2in}
-%% \begin{lstlisting}
-%% highest = 0
-%% for record in open('sslc1.txt'):
-%% fields = record.split(';')
-%% try:
-%% total = 0
-%% for score_str in fields[3:8]:
-%% score = int(score_str)
-%% total += score
-%% if total > highest:
-%% highest = total
-%% except:
-%% pass
-%% print highest
-%% \end{lstlisting}
-%% \end{frame}
\subsection{Strategy}
\begin{frame}[fragile]
\frametitle{Debugging effectively}
@@ -421,6 +415,20 @@
\inctime{10}
\end{frame}
+\begin{frame}
+ \frametitle{Summary}
+We have covered:
+ \begin{itemize}
+ \item Following and Resolving Error Messages.
+ \item Exceptions.
+ \item Handling exceptions
+ \item Approach for Debugging.
+% \item Writting and running tests.
+ \end{itemize}
+\end{frame}
+
+\end{document}
+
%% \begin{frame}
%% \frametitle{Testing}
@@ -433,130 +441,116 @@
%% \end{itemize}
%% \end{frame}
-\section{Test Driven Approach}
-\begin{frame}
- \frametitle{Need for Testing!}
-
- \begin{itemize}
- \item Quality
- \item Regression
- \item Documentation
- \end{itemize}
- %% \vspace*{0.25in}
- %% \emphbar{It is to assure that section of code is working as it is supposed to work}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Example}
- \begin{block}{Problem Statement}
- Write a function to check whether a given input
- string is a palindrome.
- \end{block}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Function: palindrome.py}
-\begin{lstlisting}
-def is_palindrome(input_str):
- return input_str == input_str[::-1]
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Test for the palindrome: palindrome.py}
-\begin{lstlisting}
-def test_function_normal_words():
- input = "noon"
- assert is_palindrome(input) == True
-
-if __name__ == "main'':
- test_function_normal_words()
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Running the tests.}
-\begin{lstlisting}
-$ nosetests palindrome.py
-.
-----------------------------------------------
-Ran 1 test in 0.001s
-
-OK
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Exercise: Including new tests.}
-\begin{lstlisting}
-def test_function_ignore_cases_words():
- input = "Noon"
- assert is_palindrome(input) == True
-\end{lstlisting}
- \vspace*{0.25in}
- Check\\
- \PythonCode{$ nosetests palindrome.py} \\
- \begin{block}{Task}
- Tweak the code to pass this test.
- \end{block}
-\end{frame}
-
-%\begin{frame}[fragile]
-% \frametitle{Lets write some test!}
-%\begin{lstlisting}
-%#for form of equation y=mx+c
-%#given m and c for two equation,
-%#finding the intersection point.
-%def intersect(m1,c1,m2,c2):
-% x = (c2-c1)/(m1-m2)
-% y = m1*x+c1
-% return (x,y)
-%\end{lstlisting}
-%
-%Create a simple test for this
-%
-%function which will make it fail.
-%
-%\inctime{15}
-%\end{frame}
-%
-
-%% \begin{frame}[fragile]
-%% \frametitle{Exercise}
-%% Based on Euclid's algorithm:
-%% \begin{center}
-%% $gcd(a,b)=gcd(b,b\%a)$
-%% \end{center}
-%% gcd function can be written as:
-%% \begin{lstlisting}
-%% def gcd(a, b):
-%% if a%b == 0: return b
-%% return gcd(b, a%b)
-%% \end{lstlisting}
-%% \vspace*{-0.15in}
-%% \begin{block}{Task}
-%% \begin{itemize}
-%% \item Write at least
-%% two tests for above mentioned function.
-%% \item Write a non recursive implementation
-%% of gcd(), and test it using already
-%% written tests.
-%% \end{itemize}
-%% \end{block}
-
-%% \inctime{15}
-%% \end{frame}
-
-\begin{frame}
- \frametitle{Summary}
-We have coverd:
- \begin{itemize}
- \item Following and Resolving Error Messages.
- \item Exceptions.
- \item Handling exceptions
- \item Approach for Debugging.
- \item Writting and running tests.
- \end{itemize}
-\end{frame}
-
-\end{document}
+% \section{Test Driven Approach}
+% \begin{frame}
+% \frametitle{Need for Testing!}
+%
+% \begin{itemize}
+% \item Quality
+% \item Regression
+% \item Documentation
+% \end{itemize}
+% %% \vspace*{0.25in}
+% %% \emphbar{It is to assure that section of code is working as it is supposed to work}
+% \end{frame}
+%
+% \begin{frame}[fragile]
+% \frametitle{Example}
+% \begin{block}{Problem Statement}
+% Write a function to check whether a given input
+% string is a palindrome.
+% \end{block}
+% \end{frame}
+%
+% \begin{frame}[fragile]
+% \frametitle{Function: palindrome.py}
+% \begin{lstlisting}
+% def is_palindrome(input_str):
+% return input_str == input_str[::-1]
+% \end{lstlisting}
+% \end{frame}
+%
+% \begin{frame}[fragile]
+% \frametitle{Test for the palindrome: palindrome.py}
+% \begin{lstlisting}
+% def test_function_normal_words():
+% input = "noon"
+% assert is_palindrome(input) == True
+%
+% if __name__ == "main'':
+% test_function_normal_words()
+% \end{lstlisting}
+% \end{frame}
+%
+% \begin{frame}[fragile]
+% \frametitle{Running the tests.}
+% \begin{lstlisting}
+% $ nosetests palindrome.py
+% .
+% ----------------------------------------------
+% Ran 1 test in 0.001s
+%
+% OK
+% \end{lstlisting}
+% \end{frame}
+%
+% \begin{frame}[fragile]
+% \frametitle{Exercise: Including new tests.}
+% \begin{lstlisting}
+% def test_function_ignore_cases_words():
+% input = "Noon"
+% assert is_palindrome(input) == True
+% \end{lstlisting}
+% \vspace*{0.25in}
+% Check\\
+% \PythonCode{$ nosetests palindrome.py} \\
+% \begin{block}{Task}
+% Tweak the code to pass this test.
+% \end{block}
+% \end{frame}
+%
+% %\begin{frame}[fragile]
+% % \frametitle{Lets write some test!}
+% %\begin{lstlisting}
+% %#for form of equation y=mx+c
+% %#given m and c for two equation,
+% %#finding the intersection point.
+% %def intersect(m1,c1,m2,c2):
+% % x = (c2-c1)/(m1-m2)
+% % y = m1*x+c1
+% % return (x,y)
+% %\end{lstlisting}
+% %
+% %Create a simple test for this
+% %
+% %function which will make it fail.
+% %
+% %\inctime{15}
+% %\end{frame}
+% %
+%
+% %% \begin{frame}[fragile]
+% %% \frametitle{Exercise}
+% %% Based on Euclid's algorithm:
+% %% \begin{center}
+% %% $gcd(a,b)=gcd(b,b\%a)$
+% %% \end{center}
+% %% gcd function can be written as:
+% %% \begin{lstlisting}
+% %% def gcd(a, b):
+% %% if a%b == 0: return b
+% %% return gcd(b, a%b)
+% %% \end{lstlisting}
+% %% \vspace*{-0.15in}
+% %% \begin{block}{Task}
+% %% \begin{itemize}
+% %% \item Write at least
+% %% two tests for above mentioned function.
+% %% \item Write a non recursive implementation
+% %% of gcd(), and test it using already
+% %% written tests.
+% %% \end{itemize}
+% %% \end{block}
+%
+% %% \inctime{15}
+% %% \end{frame}
\ No newline at end of file
--- a/day2/session5.tex Tue Nov 10 12:21:29 2009 +0530
+++ b/day2/session5.tex Tue Nov 10 16:26:47 2009 +0530
@@ -1,33 +1,48 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%Tutorial slides on Python.
+% Tutorial slides on Python.
%
% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
% Copyright (c) 2005-2009, Prabhu Ramachandran
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\documentclass[14pt,compress]{beamer}
-%\documentclass[draft]{beamer}
-%\documentclass[compress,handout]{beamer}
-%\usepackage{pgfpages}
-%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+\documentclass[compress,14pt]{beamer}
+% \documentclass[handout]{beamer}
+% \usepackage{pgfpages}
+% \pgfpagesuselayout{4 on 1}[a4paper,border, shrink=5mm,landscape]
+\usepackage{tikz}
+\newcommand{\hyperlinkmovie}{}
+%\usepackage{movie15}
-% Modified from: generic-ornate-15min-45min.de.tex
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Note that in presentation mode
+% \paperwidth 364.19536pt
+% \paperheight 273.14662pt
+% h/w = 0.888
+
+
\mode<presentation>
{
\usetheme{Warsaw}
+ %\usetheme{Boadilla}
+ %\usetheme{default}
\useoutertheme{infolines}
\setbeamercovered{transparent}
}
+% To remove navigation symbols
+\setbeamertemplate{navigation symbols}{}
+
+\usepackage{amsmath}
\usepackage[english]{babel}
\usepackage[latin1]{inputenc}
-%\usepackage{times}
+\usepackage{times}
\usepackage[T1]{fontenc}
% Taken from Fernando's slides.
\usepackage{ae,aecompl}
\usepackage{mathpazo,courier,euler}
\usepackage[scaled=.95]{helvet}
+\usepackage{pgf}
\definecolor{darkgreen}{rgb}{0,0.5,0}
@@ -40,50 +55,65 @@
keywordstyle=\color{blue}\bfseries}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Macros
+% My Macros
+\setbeamercolor{postit}{bg=yellow,fg=black}
\setbeamercolor{emphbar}{bg=blue!20, fg=black}
\newcommand{\emphbar}[1]
{\begin{beamercolorbox}[rounded=true]{emphbar}
{#1}
\end{beamercolorbox}
}
+%{\centerline{\fcolorbox{gray!50} {blue!10}{
+%\begin{minipage}{0.9\linewidth}
+% {#1}
+%\end{minipage}
+% }}}
+
+\newcommand{\myemph}[1]{\structure{\emph{#1}}}
+\newcommand{\PythonCode}[1]{\lstinline{#1}}
+
+\newcommand{\tvtk}{\texttt{tvtk}}
+\newcommand{\mlab}{\texttt{mlab}}
+
\newcounter{time}
\setcounter{time}{0}
-\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
-
-\newcommand{\typ}[1]{\texttt{#1}}
-
-\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} }
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
-%%% 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
-% }
+\newcommand\BackgroundPicture[1]{%
+ \setbeamertemplate{background}{%
+ \parbox[c][\paperheight]{\paperwidth}{%
+ \vfill \hfill
+ \hfill \vfill
+}}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Configuring the theme
+%\setbeamercolor{normal text}{fg=white}
+%\setbeamercolor{background canvas}{bg=black}
+
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title page
-\title[Exercises]{Exercises}
+\title[3D Plotting]{3D data Visualization}
\author[FOSSEE] {FOSSEE}
\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
\date[] {8 November, 2009\\Day 2, Session 5}
+
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
-%\logo{\pgfuseimage{iitmlogo}}
+%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
+%\logo{\pgfuseimage{iitblogo}}
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
@@ -95,109 +125,434 @@
\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}
-
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% DOCUMENT STARTS
\begin{document}
\begin{frame}
- \titlepage
+ \maketitle
+\end{frame}
+
+\begin{frame}
+ \frametitle{Outline}
+ \tableofcontents
+ % You might wish to add the option [pausesections]
\end{frame}
-\begin{frame}{Problem 1.1}
- The aliquot of a number is defined as: the sum of the \emph{proper} divisors of the number. \\For example:
-\center{aliquot(12) = 1 + 2 + 3 + 4 + 6 = 16.}\\
- Write a function that returns the aliquot number of a given number.
+\section{3D Data Visualization}
+
+\begin{frame}
+ \frametitle{What is visualization?}
+ \Large
+ \begin{center}
+ Visual representation of data
+ \end{center}
\end{frame}
-\begin{frame}{Problem 1.2}
- Pair of numbers (a, b) is said to be \alert{amicable} if aliquot number of a is b and aliquot number of b is a.\\
- Example: \texttt{220, 284}\\
- Write a program that prints all four digit amicable pairs.
-
-\inctime{20}
+
+%% \begin{frame}
+%% \frametitle{Is this new?}
+%% \begin{center}
+%% We have moved from:
+%% \end{center}
+%% \begin{columns}
+%% \column{}
+%% \hspace*{-1in}
+%% \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832}
+%% \column{}\hspace*{-0.25in}
+%% To
+%% \column{}
+%% \hspace*{-1in}
+%% \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus}
+%% \end{columns}
+%% \end{frame}
+
+\begin{frame}
+ \frametitle{3D visualization}
+ \Large
+ \begin{center}
+ Harder but important
+ \end{center}
\end{frame}
-%% \begin{frame}{Problem 2}
-%% Given an empty chessboard and one Bishop placed in any s%quare, say (r, c), generate the list of all squares the Bi%shop could move to.
-
-%% \end{frame}
+\begin{frame}
+ \frametitle{Is this Graphics?}
+ \Large
+ \begin{center}
+ Visualization is about data!
+ \end{center}
+\end{frame}
-\begin{frame}[fragile]
- \frametitle{Problem Set 2}
- Given a string like, ``1, 3-7, 12, 15, 18-21'', produce the list \\
- \begin{lstlisting}
- [1,3,4,5,6,7,12,15,18,19,20,21]
- \end{lstlisting}
+\begin{frame}
+ \frametitle{Examples: trajectory in space}
+ \Large
+ \begin{center}
+ \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
+ \end{center}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Examples: Fire in a room}
+ \Large
+ \begin{center}
+ Demo of data
+ \end{center}
\inctime{10}
\end{frame}
-\begin{frame}
- \frametitle{Problem Set 3}
- \begin{description}
- \item[3.1] Count word frequencies in a file.
-\end{description}
-\inctime{5}
+\section{Tools available}
+
+\subsection{mlab}
+
+\begin{frame}
+ {Overview}
+ \Large
+ \begin{itemize}
+ \item Simple
+ \item Convenient
+ \item Full-featured
+ \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \frametitle{Getting started}
+ \myemph{\Large Vanilla:}
+ \begin{lstlisting}[language=bash]
+ $ ipython -wthread
+ \end{lstlisting}
+ \myemph{\Large with Pylab:}
+ \begin{lstlisting}[language=bash]
+ $ ipython -pylab -wthread
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Using mlab}
+
+ \begin{lstlisting}
+In []:from enthought.mayavi import mlab
+ \end{lstlisting}
+
+ \vspace*{0.5in}
+
+ \myemph{\Large Try these}
+
+ \vspace*{0.25in}
+
+ \begin{lstlisting}
+In []: mlab.test_<TAB>
+In []: mlab.test_contour3d()
+In []: mlab.test_contour3d??
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}
+ {Exploring the view}
+ \begin{columns}
+ \column{0.6\textwidth}
+ \pgfimage[width=3in]{MEDIA/m2/contour3d}
+ \column{0.4\textwidth}
+ \begin{itemize}
+ \item Mouse
+ \item Keyboard
+ \item Toolbar
+ \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon}
+ \end{itemize}
+ \end{columns}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{\mlab\ plotting functions}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 0D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex}
+ \end{columns}
+
+ \begin{lstlisting}
+In []: t = linspace(0, 2*pi, 50)
+In []: u = cos(t) * pi
+In []: x, y, z = sin(u), cos(u), sin(t)
+ \end{lstlisting}
+ \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}}
+\end{frame}
+
+\begin{frame}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 1D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
+ \end{columns}
+ \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}}
+
+ Plots lines between the points
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 2D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex}
+ \end{columns}
+ \begin{lstlisting}
+In []: x, y = mgrid[-3:3:100j,-3:3:100j]
+In []: z = sin(x*x + y*y)
+ \end{lstlisting}
+
+ \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}}
+
+ \alert{Assumes the points are rectilinear}
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{mgrid}
+ \begin{lstlisting}
+In []: mgrid[0:3,0:3]
+Out[]:
+array([[[0, 0, 0],
+ [1, 1, 1],
+ [2, 2, 2]],
+
+ [[0, 1, 2],
+ [0, 1, 2],
+ [0, 1, 2]]])
+
+In []: mgrid[-1:1:5j]
+Out[]: array([-1., -0.5, 0., 0.5, 1.])
+\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
- \frametitle{Problem set 4}
- Central difference
- \begin{equation*}
- \frac{sin(x+h)-sin(x-h)}{2h}
- \end{equation*}
+ \frametitle{Example}
\begin{lstlisting}
- In []: x = linspace(0, 2*pi, 100)
- In []: y = sin(x)
- In []: deltax = x[1] - x[0]
- \end{lstlisting}
+In []: x, y = mgrid[-1:1:5j, -1:1:5j]
+In []: z = x*x + y*y
+
+In []: z
+Out[]:
+array([[ 2. , 1.25, 1. , 1.25, 2. ],
+ [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
+ [ 1. , 0.25, 0. , 0.25, 1. ],
+ [ 1.25, 0.5 , 0.25, 0.5 , 1.25],
+ [ 2. , 1.25, 1. , 1.25, 2. ]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \myemph{\Large 2D data: \texttt{mlab.mesh}}
+ \vspace*{0.25in}
+
+ \emphbar{\PythonCode{In []: mlab.mesh(x, y, z)}}
+
+ \alert{Points needn't be regular}
+
+ \vspace*{0.25in}
+\begin{lstlisting}
+In []: phi, theta = mgrid[0:pi:20j,
+... 0:2*pi:20j]
+In []: x = sin(phi)*cos(theta)
+In []: y = sin(phi)*sin(theta)
+In []: z = cos(phi)
+In []: mlab.mesh(x, y, z,
+... representation=
+... 'wireframe')
+\end{lstlisting}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \begin{columns}
+ \column{0.25\textwidth}
+ \myemph{\Large 3D data}
+ \column{0.5\textwidth}
+ \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\
+ \end{columns}
+\begin{lstlisting}
+In []: x, y, z = mgrid[-5:5:64j,
+... -5:5:64j,
+... -5:5:64j]
+In []: mlab.contour3d(x*x*0.5 + y*y +
+ z*z*2)
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+
+ \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
+ \vspace*{0.25in}
+
+ \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
+
+\begin{lstlisting}
+In []: mlab.test_quiver3d()
+\end{lstlisting}
+
+\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
+\inctime{20}
+\end{frame}
+
+
+\subsection{Mayavi2}
+
+\begin{frame}
+ \frametitle{Introduction to Mayavi}
+ \begin{itemize}
+ \item Most scientists not interested in details of visualization
+ \item Visualization of data files with a nice UI
+ \item Interactive visualization of data (think Matlab)
+ \item Embedding visualizations in applications
+ \item Customization
+ \end{itemize}
\pause
- \begin{enumerate}
- \item Given this, get the finite difference of sin in the range 0 to 2*pi
- \end{enumerate}
+ \begin{block}{The Goal}
+ Provide a \alert{flexible} library/app for all of these needs!
+ \end{block}
+\end{frame}
+
+\begin{frame}
+ {Overview of features}
+ \vspace*{-0.3in}
+ \begin{center}
+ \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
+ \end{center}
+\end{frame}
+
+
+\begin{frame}
+ \frametitle{Mayavi in applications}
+ \vspace*{-0.3in}
+ \begin{center}
+ \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
+ \end{center}
\end{frame}
\begin{frame}
- \frametitle{Problem Set 5}
- \begin{itemize}
- \item[5.1] Write a function that plots any regular n-gon given \typ{n}.
- \item[5.2] Consider the logistic map, $f(x) = kx(1-x)$, plot it for
- $k=2.5, 3.5$ and $4$ in the same plot.
-\end{itemize}
+ \frametitle{Live in your dialogs}
+ \vspace*{0.1in}
+ \begin{center}
+ \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui}
+ \end{center}
+\end{frame}
+
+\begin{frame}
+ {Exploring the documentation}
+ \begin{center}
+ \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
+ \end{center}
\end{frame}
-\begin{frame}[fragile]
-\frametitle{Problem Set 5}
- \begin{columns}
- \column{0.6\textwidth}
- \small{
- \begin{itemize}
- \item[3] Consider the iteration $x_{n+1} = f(x_n)$ where $f(x) = kx(1-x)$. Plot the successive iterates of this process as explained below.
- \end{itemize}}
- \column{0.35\textwidth}
- \hspace*{-0.5in}
- \includegraphics[height=1.6in, interpolate=true]{data/cobweb}
-\end{columns}
+
+\begin{frame}
+ \frametitle{Summary}
+ \begin{itemize}
+ \item \url{http://code.enthought.com/projects/mayavi}
+ \item Uses VTK (\url{www.vtk.org})
+ \item BSD license
+ \item Linux, win32 and Mac OS X
+ \item Highly scriptable
+ \item Embed in Traits UIs (wxPython and PyQt4)
+ \item Envisage Plugins
+ \item Debian/Ubuntu/Fedora
+ \item \alert{Pythonic}
+ \end{itemize}
+
+ \inctime{10}
+
\end{frame}
\begin{frame}
- \frametitle{Problem Set 5.3}
- Plot the cobweb plot as follows:
- \begin{enumerate}
- \item Start at $(x_0, 0)$ ($\implies$ i=0)
- \item Draw a line to $(x_i, f(x_i))$
- \item Set $x_{i+1} = f(x_i)$
- \item Draw a line to $(x_{i+1}, x_{i+1})$
- \item $(i\implies i+1)$
- \item Repeat from 2 for as long as you want
- \end{enumerate}
+ {Getting hands dirty!}
+
+ \begin{block}{Motivational problem}
+ Atmospheric data of temperature over the surface of the earth.
+ Let temperature ($T$) vary linearly with height ($z$):
+ \begin{center}
+ $T = 288.15 - 6.5z$
+ \end{center}
+ \end{block}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Simple solution}
+
+ \begin{lstlisting}
+lat = linspace(-89, 89, 37)
+lon = linspace(0, 360, 37)
+z = linspace(0, 100, 11)
+ \end{lstlisting}
+\pause
+ \begin{lstlisting}
+x, y, z = mgrid[0:360:37j,-89:89:37j,
+ 0:100:11j]
+t = 288.15 - 6.5*z
+mlab.contour3d(x, y, z, t)
+mlab.outline()
+mlab.colorbar()
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Exercise: Lorenz equation}
+ \begin{columns}
+ \column{0.25\textwidth}
+ \begin{eqnarray*}
+ \frac{d x}{dt} &=& s (y-x)\\
+ \frac{d y}{d t} &=& rx -y -xz\\
+ \frac{d z}{d t} &=& xy - bz\\
+ \end{eqnarray*}
+ \column{0.25\textwidth}
+ Let $s=10,$
+ $r=28,$
+ $b=8./3.$
+ \end{columns}
+ \structure{\Large Region of interest}
+ \begin{lstlisting}
+x, y, z = mgrid[-50:50:20j,-50:50:20j,
+ -10:60:20j]
+ \end{lstlisting}
\inctime{20}
+
+\end{frame}
+\begin{frame}[fragile]
+ \frametitle{Solution}
+ \begin{lstlisting}
+def lorenz(x,y,z,s=10.,r=28.,b=8./3.):
+ u = s*(y-x)
+ v = r*x-y-x*z
+ w = x*y-b*z
+ return u,v,w
+x,y,z = mgrid [-50:50:20j,-50:50:20j,
+ -10:60:20j ]
+u,v,w = lorenz( x , y , z )
+# Your plot here
+#
+mlab.show()
+
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}
+ \frametitle{We have covered:}
+ \begin{itemize}
+ \item Need of visualization.
+ \item Using mlab to create 3 D plots.
+ \item Mayavi Toolkit.
+ \end{itemize}
\end{frame}
\end{document}
+