Retained only fsolve and roots in finding roots, session6.
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%Tutorial slides on Python.
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% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
% Copyright (c) 2005-2009, Prabhu Ramachandran
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% Title page
\title[Basic Python]{Python language: Basics}
\author[FOSSEE Team] {The FOSSEE Group}
\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
\date[] {1, November 2009\\Day 2, Session 1}
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%% Delete this, if you do not want the table of contents to pop up at
%% the beginning of each subsection:
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\begin{frame}<beamer>
\frametitle{Outline}
\tableofcontents[currentsection,currentsubsection]
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% DOCUMENT STARTS
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\begin{frame}
\frametitle{Outline}
\tableofcontents
% You might wish to add the option [pausesections]
\end{frame}
\section{Data types}
\begin{frame}
\frametitle{Primitive Data types}
\begin{itemize}
\item Numbers: float, int, complex
\item Strings
\item Boolean
\end{itemize}
\end{frame}
\subsection{Numbers}
\begin{frame}[fragile]
\frametitle{Numbers}
\begin{itemize}
\item \kwrd{int}\\ \kwrd{int} = whole number, no matter what the size!
\begin{lstlisting}
In [1]: a = 13
In [2]: b = 99999999999999999999
\end{lstlisting}
\item \kwrd{float}
\begin{lstlisting}
In [3]: fl = 3.141592
\end{lstlisting}
\end{itemize}
\end{frame}
\begin{frame}[fragile]
\frametitle{Complex numbers}
\begin{lstlisting}
In [1]: cplx = 3+4j
In [2]: abs(cplx)
Out[2]: 5.0
In [3]: cplx.imag
Out[3]: 4.0
In [4]: cplx.real
Out[4]: 3.0
\end{lstlisting}
\end{frame}
\subsection{Boolean}
\begin{frame}[fragile]
\frametitle{Boolean}
\begin{lstlisting}
In [1]: t = True
In [2]: f = not t
Out[2]: False
In [3]: f or t
Out[3]: True
In [4]: f and t
Out[4]: False
\end{lstlisting}
\inctime{5}
\end{frame}
\subsection{Strings}
\begin{frame}[fragile]
\frametitle{Strings}
Strings were introduced previously, let us now look at them in a little more detail.
\begin{lstlisting}
In [1]: w = "hello"
In [2]: print w[0] + w[2] + w[-1]
Out[2]: hlo
In [3]: len(w) # guess what
Out[3]: 5
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Strings \ldots}
\begin{lstlisting}
In [1]: w[0] = 'H' # Can't do that!
--------------------------------------------
TypeError Traceback (most recent call last)
/<ipython console> in <module>()
TypeError: 'str' object does not
support item assignment
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{String methods}
\begin{lstlisting}
In [1]: a = 'Hello World'
In [2]: a.startswith('Hell')
Out[2]: True
In [3]: a.endswith('ld')
Out[3]: True
In [4]: a.upper()
Out[4]: 'HELLO WORLD'
In [5]: a.lower()
Out[5]: 'hello world'
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Still with strings}
\begin{itemize}
\item We saw split() yesterday
\item join() is the opposite of split()
\end{itemize}
\begin{lstlisting}
In [1]: ''.join(['a', 'b', 'c'])
Out[1]: 'abc'
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{String formatting}
\begin{lstlisting}
In [1]: x, y = 1, 1.234
In [2]: 'x is %s, y is %s' %(x, y)
Out[2]: 'x is 1, y is 1.234'
\end{lstlisting}
\emphbar{\url{http://docs.python.org/library/stdtypes.html}}
\inctime{10}
\end{frame}
\section{Operators}
\begin{frame}[fragile]
\frametitle{Arithematic operators}
\begin{lstlisting}
In [1]: 1786 % 12
Out[1]: 10
In [2]: 3124 * 126789
Out[2]: 396088836
In [3]: a = 3124 * 126789
In [4]: big = 1234567891234567890 ** 3
In [5]: verybig = big * big * big * big
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Arithematic operators \ldots}
\begin{lstlisting}
In [1]: 17/2
Out[1]: 8
In [2]: 17/2.0
Out[2]: 8.5
In [3]: 17.0/2
Out[3]: 8.5
In [4]: 17.0/8.5
Out[4]: 2.0
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{String operations}
\begin{lstlisting}
In [1]: s = 'Hello '
In [2]: p = 'World'
In [3]: s + p
Out[3]: 'Hello World'
In [4]: s * 4
Out[4]: 'Hello Hello Hello Hello'
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{String operations \ldots}
\begin{lstlisting}
In [1]: s * s
--------------------------------------------
TypeError Traceback (most recent call last)
/<ipython console> in <module>()
TypeError: can't multiply sequence by
non-int of type 'str'
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Relational and logical operators}
\begin{lstlisting}
In [1]: pos, zer, neg = 1, 0, -1
In [2]: pos == neg
Out[2]: False
In [3]: pos >= neg
Out[3]: True
In [4]: neg < zer < pos
Out[4]: True
In [5]: pos + neg != zer
Out[5]: False
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Built-ins}
\begin{lstlisting}
In [1]: int(17/2.0)
Out[1]: 8
In [2]: float(17/2) # Recall
Out[2]: 8.0
In [3]: str(17/2.0)
Out[3]: '8.5'
In [4]: round( 7.5 )
Out[4]: 8.0
\end{lstlisting}
\end{frame}
\begin{frame}[fragile]
\frametitle{Odds and ends}
\begin{itemize}
\item Case sensitive
\item Dynamically typed $\Rightarrow$ need not specify a type
\begin{lstlisting}
In [1]: a = 1
In [2]: a = 1.1
In [3]: a = "Now I am a string!"
\end{lstlisting}
\item Comments:
\begin{lstlisting}
In [4]: a = 1 # In-line comments
In [5]: # A comment line.
In [6]: a = "# Not a comment!"
\end{lstlisting}
\end{itemize}
\inctime{15}
\end{frame}
\section{Simple IO}
\begin{frame}[fragile]
\frametitle{Simple IO: Console Input}
\begin{itemize}
\item raw\_input() waits for user input.
\begin{lstlisting}
In [1]: a = raw_input()
5
In [2]: a = raw_input('prompt > ')
prompt > 5
\end{lstlisting}
\item Prompt string is optional.
\item All keystrokes are Strings!
\item \texttt{int()} converts string to int.
\end{itemize}
\end{frame}
\begin{frame}{Simple IO: Console output}
\begin{itemize}
\item \texttt{print} is straight forward
\item Note the distinction between \texttt{print x} and \texttt{print x,}
\end{itemize}
\end{frame}
\section{Control flow}
\begin{frame}
\frametitle{Control flow constructs}
\begin{itemize}
\item \kwrd{if/elif/else}: branching
\item \kwrd{while}: looping
\item \kwrd{for}: iterating
\item \kwrd{break, continue}: modify loop
\item \kwrd{pass}: syntactic filler
\end{itemize}
\end{frame}
\subsection{Basic Conditional flow}
\begin{frame}[fragile]
\frametitle{\typ{If...elif...else} example}
\begin{lstlisting}
x = int(raw_input("Enter an integer:"))
if x < 0:
print 'Be positive!'
elif x == 0:
print 'Zero'
elif x == 1:
print 'Single'
else:
print 'More'
\end{lstlisting}
\inctime{10}
\end{frame}
\subsection{Basic Looping}
\begin{frame}[fragile]
\frametitle{\typ{while}}
Example: Fibonacci series
\begin{lstlisting}
# the sum of two elements
# defines the next
a, b = 0, 1
while b < 10:
print b,
a, b = b, a + b
\end{lstlisting}
\typ{1 1 2 3 5 8}\\
\end{frame}
\begin{frame}[fragile]
\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
\end{itemize}
\end{frame}
\begin{frame}[fragile]
\frametitle{\typ{for} \ldots \typ{range()}}
Example: print squares of first \typ{n} numbers
\begin{lstlisting}
In []: for i in range(5):
....: print i, i * i
....:
....:
0 0
1 1
2 4
3 9
4 16
\end{lstlisting}
\inctime{5}
\end{frame}
\subsection{Exercises}
\begin{frame}{Problem set 1: Problem 1.1}
Write a program that displays all three digit numbers that are equal to the sum of the cubes of their digits. That is, print numbers $abc$ that have the property $abc = a^3 + b^3 + c^3$\\
\vspace*{0.2in}
\emphbar{These are called $Armstrong$ numbers.}
\end{frame}
\begin{frame}{Problem 1.2 - Collatz sequence}
\begin{enumerate}
\item Start with an arbitrary (positive) integer.
\item If the number is even, divide by 2; if the number is odd, multiply by 3 and add 1.
\item Repeat the procedure with the new number.
\item It appears that for all starting values there is a cycle of 4, 2, 1 at which the procedure loops.
\end{enumerate}
Write a program that accepts the starting value and prints out the Collatz sequence.
\end{frame}
\begin{frame}[fragile]{Problem 1.3}
Write a program that prints the following pyramid on the screen.
\begin{lstlisting}
1
2 2
3 3 3
4 4 4 4
\end{lstlisting}
The number of lines must be obtained from the user as input.\\
\pause
\emphbar{When can your code fail?}
\inctime{5}
\end{frame}
\begin{frame}[fragile]
\frametitle{What did we learn?}
\begin{itemize}
\item Basic data types
\item Operators
\item Conditional structures
\item Loops
\end{itemize}
\end{frame}
\end{document}