Reorganized last 3 sessions of day 2 again.
authorMadhusudan.C.S <madhusudancs@gmail.com>
Fri, 06 Nov 2009 18:36:42 +0530
changeset 289 884d42eff66d
parent 288 c4e25269a86c
child 292 2622aebff64a
child 295 39d7c4e14585
Reorganized last 3 sessions of day 2 again.
day2/session4.tex
day2/session5.tex
day2/session6.tex
--- a/day2/session4.tex	Fri Nov 06 18:33:08 2009 +0530
+++ b/day2/session4.tex	Fri Nov 06 18:36:42 2009 +0530
@@ -74,7 +74,7 @@
 
 \newcommand{\tvtk}{\texttt{tvtk}}
 \newcommand{\mlab}{\texttt{mlab}}
-
+\newcommand{\typ}[1]{\lstinline{#1}}
 \newcounter{time}
 \setcounter{time}{0}
 \newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
@@ -95,13 +95,12 @@
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Title page
-\title[3D Plotting]{3D data Visualization}
+\title[Python Development]{Python Development}
 
 \author[FOSSEE] {FOSSEE}
 
 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {1 November, 2009\\Day 2, Session 5}
-
+\date[] {8 November, 2009\\Day 2, Session 4}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 %\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
@@ -110,7 +109,8 @@
 \AtBeginSection[]
 {
   \begin{frame}<beamer>
-    \frametitle{Outline}      
+    \frametitle{Outline}
+      \Large
     \tableofcontents[currentsection,currentsubsection]
   \end{frame}
 }
@@ -140,419 +140,423 @@
   \maketitle
 \end{frame}
 
-\begin{frame}
-  \frametitle{Outline}
-  \tableofcontents
-  % You might wish to add the option [pausesections]
-\end{frame}
-
-\section{3D Data Visualization}
-
-\begin{frame}
-    \frametitle{What is visualization?}
-    \Large
-    \begin{center}
-    Visual representation of data
-    \end{center}
-\end{frame}
-
+\section{Tests: Getting started}
+\begin{frame}[fragile] 
+  \frametitle{gcd revisited!}
+  \begin{itemize}
+  \item Open gcd.py
+  \end{itemize}  
+\begin{lstlisting}
+    def gcd(a, b):
+        if a % b == 0: 
+            return b
+        return gcd(b, a%b)
 
-%% \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}
+    print gcd(15, 65)
+    print gcd(16, 76)
+\end{lstlisting}
+  \begin{itemize}
+  \item python gcd.py
+  \end{itemize}
 \end{frame}
 
-\begin{frame}
-    \frametitle{Is this Graphics?}
-    \Large
-    \begin{center}
-        Visualization is about data!
-    \end{center}
-\end{frame}
-
-\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}
+\begin{frame}[fragile] 
+  \frametitle{Find lcm using our gcd module}
+  \begin{itemize}
+  \item Open lcm.py  
+  \item $lcm = \frac{a*b}{gcd(a,b)}$
+  \end{itemize}  
+\begin{lstlisting}
+    from gcd import gcd    
+    def lcm(a, b):
+        return (a * b) / gcd(a, b)
+    
+    print lcm(14, 56)
+\end{lstlisting}
+  \begin{itemize}
+  \item python lcm.py
+  \end{itemize}
+  \begin{lstlisting}
+5
+4
+56
+  \end{lstlisting}    
 \end{frame}
 
-\section{Tools available}
-
-\subsection{mlab}
+\begin{frame}[fragile] 
+  \frametitle{Writing stand-alone module}  
+Edit gcd.py file to:
+\begin{lstlisting}
+    def gcd(a, b):
+        if a % b == 0: 
+            return b
+        return gcd(b, a%b)
 
-\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}
+    if __name__ == "__main__":        
+        print gcd(15, 65)
+        print gcd(16, 76)
+\end{lstlisting}
+  \begin{itemize}
+  \item python gcd.py
+  \item python lcm.py
+  \end{itemize}
 \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}
+  \frametitle{More use of main}
+  For 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
+  \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}
+\section{Coding Style}
+\begin{frame}{Readability and Consistency}
+    \begin{itemize}
+        \item Readability Counts!\\Code is read more often than its written.
+        \item Consistency!
+        \item Know when to be inconsistent.
+      \end{itemize}
+\end{frame}
+
+\begin{frame}[fragile] \frametitle{A question of good style}
+  \begin{lstlisting}
+    amount = 12.68
+    denom = 0.05
+    nCoins = round(amount/denom)
+    rAmount = nCoins * denom
+  \end{lstlisting}
+  \pause
+  \begin{block}{Style Rule \#1}
+    Naming is 80\% of programming
+  \end{block}
 \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}
+  \frametitle{Code Layout}
+  \begin{itemize}
+        \item Indentation
+        \item Tabs or Spaces??
+        \item Maximum Line Length
+        \item Blank Lines
+        \item Encodings
+   \end{itemize}
+\end{frame}
 
-    \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)}}
+\begin{frame}{Whitespaces in Expressions}
+  \begin{itemize}
+        \item When to use extraneous whitespaces??
+        \item When to avoid extra whitespaces??
+        \item Use one statement per line
+   \end{itemize}
 \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)}}
+\begin{frame}{Comments}
+  \begin{itemize}
+        \item No comments better than contradicting comments
+        \item Block comments
+        \item Inline comments
+   \end{itemize}
+\end{frame}
 
-    Plots lines between the points
-    
+\begin{frame}{Docstrings}
+  \begin{itemize}
+        \item When to write docstrings?
+        \item Ending the docstrings
+        \item One liner docstrings
+   \end{itemize}
+More information at PEP8: http://www.python.org/dev/peps/pep-0008/
+\inctime{5}
+\end{frame}
+
+\section{Debugging}
+\subsection{Errors and Exceptions}
+\begin{frame}[fragile]
+ \frametitle{Errors}
+ \begin{lstlisting}
+In []: while True print 'Hello world'
+ \end{lstlisting}
+\pause
+  \begin{lstlisting}
+  File "<stdin>", line 1, in ?
+    while True print 'Hello world'
+                   ^
+SyntaxError: invalid syntax
+\end{lstlisting}
 \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}
-
+ \frametitle{Exceptions}
+ \begin{lstlisting}
+In []: print spam
+\end{lstlisting}
+\pause
+\begin{lstlisting}
+Traceback (most recent call last):
+  File "<stdin>", line 1, in <module>
+NameError: name 'spam' is not defined
+\end{lstlisting}
 \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.])
+ \frametitle{Exceptions}
+ \begin{lstlisting}
+In []: 1 / 0
+\end{lstlisting}
+\pause
+\begin{lstlisting}
+Traceback (most recent call last):
+  File "<stdin>", line 1, in <module>
+ZeroDivisionError: integer division 
+or modulo by zero
 \end{lstlisting}
 \end{frame}
 
 \begin{frame}[fragile]
-  \frametitle{Example}
+  \frametitle{Handling Exceptions}
+  Python uses \typ{try} and \typ{except} clause.
+  %%Revisiting the raw\_input
   \begin{lstlisting}
-In []: x, y = mgrid[-1:1:5j, -1:1:5j]
-In []: z = x*x + y*y
+a = raw_input('Enter number(Q to quit):')
+try:
+    num = int(a)
+    print num
+except:
+    if a == 'Q':
+        print 'Exiting...'
+    else:
+        print 'Wrong input!'      
+  \end{lstlisting}
+  
+  
+\end{frame}
 
-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}
+%% \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}
+    \begin{itemize}
+        \item \typ{print} based strategy
+        \item Process:
+    \end{itemize}
+\begin{center}
+\pgfimage[interpolate=true,width=5cm,height=5cm]{DebugginDiagram.png}
+\end{center}
 \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}
+    \frametitle{Debugging effectively}
+    \begin{itemize}
+      \item Using \typ{\%debug} in IPython
+    \end{itemize}
 \end{frame}
 
 \begin{frame}[fragile]
-
-    \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
-    \vspace*{0.25in}
+\frametitle{Debugging in IPython}
+\small
+\begin{lstlisting}
+In []: import mymodule
+In []: mymodule.test()
+---------------------------------------------
+NameError   Traceback (most recent call last)
+<ipython console> in <module>()
+mymodule.py in test()
+      1 def test():
+----> 2     print spam
+NameError: global name 'spam' is not defined
 
-    \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
-    
-\begin{lstlisting}
-In []: mlab.test_quiver3d()
+In []: %debug
+> mymodule.py(2)test()
+      0     print spam
+ipdb> 
 \end{lstlisting}
-
-\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
-\inctime{20}
+\inctime{15} 
 \end{frame}
 
+\subsection{Exercise}
+\begin{frame}[fragile]
+\frametitle{Debugging: Exercise}
+\small
+\begin{lstlisting}
+science = {}
 
-\subsection{Mayavi2}
+for record in open('sslc1.txt'):
+    fields = record.split(';')
+    region_code = fields[0].strip()
+
+    score_str = fields[6].strip()
+    score = int(score_str) if score_str != 'AA' 
+                           else 0
+
+    if score > 90:
+        science[region_code] += 1
 
+pie(science.values(), labels=science.keys())
+savefig('science.png')
+\end{lstlisting}
+\inctime{10}
+\end{frame}
+
+%% \begin{frame}
+%%     \frametitle{Testing}
+   
+%%     \begin{itemize}
+%%         \item Writing tests is really simple!
+
+%%         \item Using nose.
+
+%%         \item Example!
+%%     \end{itemize}
+%% \end{frame}
+
+\section{Test Driven Approach}
 \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}
+    \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}
-    {Overview of features}
-      \vspace*{-0.3in}
-  \begin{center}    
-    \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
-  \end{center}    
+\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}
-    \frametitle{Mayavi in applications}
-      \vspace*{-0.3in}
-  \begin{center}    
-    \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
-  \end{center}
+\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}
-    \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}[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}
-    {Exploring the documentation}
-    \begin{center}
-    \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
-    \end{center}
-\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}
-      \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()
-
-  \end{lstlisting}
-\end{frame}
-
-\begin{frame}
-  \frametitle{We have covered:}
+We have coverd:
   \begin{itemize}
-  \item Need of visualization.
-  \item Using mlab to create 3 D plots.
-  \item Mayavi Toolkit.
+  \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}
-
--- a/day2/session5.tex	Fri Nov 06 18:33:08 2009 +0530
+++ b/day2/session5.tex	Fri Nov 06 18:36:42 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
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
-\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}}
-\newcommand{\typ}[1]{\lstinline{#1}}
 \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]{\texttt{#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[Python Development]{Python Development}
+\title[Exercises]{Exercises}
 
 \author[FOSSEE] {FOSSEE}
 
 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date[] {1 November, 2009\\Day 2, Session 3}
+\date[] {8 November, 2009\\Day 2, Session 5}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
-%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
-%\logo{\pgfuseimage{iitblogo}}
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
 
-\AtBeginSection[]
-{
-  \begin{frame}<beamer>
-    \frametitle{Outline}
-      \Large
-    \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:
@@ -125,438 +95,109 @@
   \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}
-  \maketitle
-\end{frame}
-
-\section{Tests: Getting started}
-\begin{frame}[fragile] 
-  \frametitle{gcd revisited!}
-  \begin{itemize}
-  \item Open gcd.py
-  \end{itemize}  
-\begin{lstlisting}
-    def gcd(a, b):
-        if a % b == 0: 
-            return b
-        return gcd(b, a%b)
-
-    print gcd(15, 65)
-    print gcd(16, 76)
-\end{lstlisting}
-  \begin{itemize}
-  \item python gcd.py
-  \end{itemize}
+  \titlepage
 \end{frame}
 
-\begin{frame}[fragile] 
-  \frametitle{Find lcm using our gcd module}
-  \begin{itemize}
-  \item Open lcm.py  
-  \item $lcm = \frac{a*b}{gcd(a,b)}$
-  \end{itemize}  
-\begin{lstlisting}
-    from gcd import gcd    
-    def lcm(a, b):
-        return (a * b) / gcd(a, b)
-    
-    print lcm(14, 56)
-\end{lstlisting}
-  \begin{itemize}
-  \item python lcm.py
-  \end{itemize}
-  \begin{lstlisting}
-5
-4
-56
-  \end{lstlisting}    
+\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. 
 \end{frame}
 
-\begin{frame}[fragile] 
-  \frametitle{Writing stand-alone module}  
-Edit gcd.py file to:
-\begin{lstlisting}
-    def gcd(a, b):
-        if a % b == 0: 
-            return b
-        return gcd(b, a%b)
-
-    if __name__ == "__main__":        
-        print gcd(15, 65)
-        print gcd(16, 76)
-\end{lstlisting}
-  \begin{itemize}
-  \item python gcd.py
-  \item python lcm.py
-  \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{More use of main}
-  For 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
-  \end{lstlisting}  
-\end{frame}
-
-\section{Coding Style}
-\begin{frame}{Readability and Consistency}
-    \begin{itemize}
-        \item Readability Counts!\\Code is read more often than its written.
-        \item Consistency!
-        \item Know when to be inconsistent.
-      \end{itemize}
+\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}[fragile] \frametitle{A question of good style}
-  \begin{lstlisting}
-    amount = 12.68
-    denom = 0.05
-    nCoins = round(amount/denom)
-    rAmount = nCoins * denom
-  \end{lstlisting}
-  \pause
-  \begin{block}{Style Rule \#1}
-    Naming is 80\% of programming
-  \end{block}
-\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{Code Layout}
-  \begin{itemize}
-        \item Indentation
-        \item Tabs or Spaces??
-        \item Maximum Line Length
-        \item Blank Lines
-        \item Encodings
-   \end{itemize}
-\end{frame}
-
-\begin{frame}{Whitespaces in Expressions}
-  \begin{itemize}
-        \item When to use extraneous whitespaces??
-        \item When to avoid extra whitespaces??
-        \item Use one statement per line
-   \end{itemize}
-\end{frame}
-
-\begin{frame}{Comments}
-  \begin{itemize}
-        \item No comments better than contradicting comments
-        \item Block comments
-        \item Inline comments
-   \end{itemize}
+  \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}
+\inctime{10}
 \end{frame}
 
-\begin{frame}{Docstrings}
-  \begin{itemize}
-        \item When to write docstrings?
-        \item Ending the docstrings
-        \item One liner docstrings
-   \end{itemize}
-More information at PEP8: http://www.python.org/dev/peps/pep-0008/
+\begin{frame} 
+  \frametitle{Problem Set 3}
+  \begin{description}
+    \item[3.1] Count word frequencies in a file.
+\end{description}
 \inctime{5}
 \end{frame}
 
-\section{Debugging}
-\subsection{Errors and Exceptions}
-\begin{frame}[fragile]
- \frametitle{Errors}
- \begin{lstlisting}
-In []: while True print 'Hello world'
- \end{lstlisting}
-\pause
-  \begin{lstlisting}
-  File "<stdin>", line 1, in ?
-    while True print 'Hello world'
-                   ^
-SyntaxError: invalid syntax
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Exceptions}
- \begin{lstlisting}
-In []: print spam
-\end{lstlisting}
-\pause
-\begin{lstlisting}
-Traceback (most recent call last):
-  File "<stdin>", line 1, in <module>
-NameError: name 'spam' is not defined
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{Exceptions}
- \begin{lstlisting}
-In []: 1 / 0
-\end{lstlisting}
-\pause
-\begin{lstlisting}
-Traceback (most recent call last):
-  File "<stdin>", line 1, in <module>
-ZeroDivisionError: integer division 
-or modulo by zero
-\end{lstlisting}
-\end{frame}
-
 \begin{frame}[fragile]
-  \frametitle{Handling Exceptions}
-  Python uses \typ{try} and \typ{except} clause.
-  %%Revisiting the raw\_input
+  \frametitle{Problem set 4}
+  Central difference
+  \begin{equation*}
+  \frac{sin(x+h)-sin(x-h)}{2h}
+  \end{equation*}
   \begin{lstlisting}
-a = raw_input('Enter number(Q to quit):')
-try:
-    num = int(a)
-    print num
-except:
-    if a == 'Q':
-        print 'Exiting...'
-    else:
-        print 'Wrong input!'      
+  In []: x = linspace(0, 2*pi, 100)
+  In []: y = sin(x)
+  In []: deltax = x[1] - x[0]
   \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}
-    \begin{itemize}
-        \item \typ{print} based strategy
-        \item Process:
-    \end{itemize}
-\begin{center}
-\pgfimage[interpolate=true,width=5cm,height=5cm]{DebugginDiagram.png}
-\end{center}
+  \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}[fragile]
-    \frametitle{Debugging effectively}
-    \begin{itemize}
-      \item Using \typ{\%debug} in IPython
-    \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Debugging in IPython}
-\small
-\begin{lstlisting}
-In []: import mymodule
-In []: mymodule.test()
----------------------------------------------
-NameError   Traceback (most recent call last)
-<ipython console> in <module>()
-mymodule.py in test()
-      1 def test():
-----> 2     print spam
-NameError: global name 'spam' is not defined
-
-In []: %debug
-> mymodule.py(2)test()
-      0     print spam
-ipdb> 
-\end{lstlisting}
-\inctime{15} 
-\end{frame}
-
-\subsection{Exercise}
-\begin{frame}[fragile]
-\frametitle{Debugging: Exercise}
-\small
-\begin{lstlisting}
-science = {}
-
-for record in open('sslc1.txt'):
-    fields = record.split(';')
-    region_code = fields[0].strip()
-
-    score_str = fields[6].strip()
-    score = int(score_str) if score_str != 'AA' 
-                           else 0
-
-    if score > 90:
-        science[region_code] += 1
-
-pie(science.values(), labels=science.keys())
-savefig('science.png')
-\end{lstlisting}
-\inctime{10}
+\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}
-%%     \frametitle{Testing}
-   
-%%     \begin{itemize}
-%%         \item Writing tests is really simple!
-
-%%         \item Using nose.
-
-%%         \item Example!
-%%     \end{itemize}
-%% \end{frame}
-
-\section{Test Driven Approach}
-\begin{frame}
-    \frametitle{Need for Testing!}
-   
+\begin{frame}[fragile] 
+\frametitle{Problem Set 5}
+  \begin{columns}
+    \column{0.6\textwidth}
+    \small{
     \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}    
+      \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}[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}
+  \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/session6.tex	Fri Nov 06 18:33:08 2009 +0530
+++ b/day2/session6.tex	Fri Nov 06 18:36:42 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[] {1 November, 2009\\Day 2, Session 4}
+\date[] {8 November, 2009\\Day 2, Session 6}
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
-%\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}
+