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%Tutorial slides on Python.

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% Author: FOSSEE 

% Copyright (c) 2009, FOSSEE, IIT Bombay

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% Title page

\title[Interactive Plotting]{Python for Science and Engg: Interactive Plotting}

\author[FOSSEE] {FOSSEE}

\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}

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%% the beginning of each subsection:

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    \frametitle{Outline}

    \tableofcontents[currentsection,currentsubsection]

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    \frametitle{Outline}

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% DOCUMENT STARTS

\begin{document}

\begin{frame}

  \maketitle

\end{frame}

%% \begin{frame}

%%   \frametitle{Outline}

%%   \tableofcontents

%%   % You might wish to add the option [pausesections]

%% \end{frame}

\begin{frame}

  \frametitle{About the Workshop}

  \begin{block}{Intended Audience}

  \begin{itemize}

       \item Engg., Mathematics and Science teachers.

       \item Interested students from similar streams.

  \end{itemize}

  \end{block}  

  \begin{block}{Goal: Successful participants will be able to}

    \begin{itemize}

      \item Use Python as plotting, computational tool.

      \item Understand how to use Python as a scripting and problem solving language.

      \item Train students for the same.

    \end{itemize}

  \end{block}

\end{frame}

\section{Plotting}

\subsection{Drawing plots}

\begin{frame}[fragile]

\frametitle{First Plot}

\begin{columns}

    \column{0.25\textwidth}

    \hspace*{-0.5in}

  \includegraphics[height=2in, interpolate=true]{data/firstplot}

    \column{0.8\textwidth}

    \begin{block}{}

    \begin{small}

\begin{lstlisting}

In []: x = linspace(0, 2*pi, 50)

In []: plot(x, sin(x))

\end{lstlisting}

    \end{small}

    \end{block}

\end{columns}

\end{frame}

\begin{frame}[fragile]

\frametitle{Walkthrough}

\begin{block}{\typ{x = linspace(start, stop, num)} }

returns \typ{num} evenly spaced points, in the interval [\typ{start}, \typ{stop}].

\end{block}

\begin{lstlisting}

x[0] = start

x[num - 1] = end

\end{lstlisting}

\vspace*{.35in}

\begin{block}{\typ{plot(x, y)}}

plots \typ{x} and \typ{y} using default line style and color

\end{block}

%\inctime{10}

\end{frame}

\subsection{Decoration}

\begin{frame}[fragile]

\frametitle{Adding Labels}

\begin{columns}

  \column{0.25\textwidth}

  \hspace*{-0.45in}

  \includegraphics[height=2in, interpolate=true]{data/label}  

  \hspace*{0.5in}

  \column{0.55\textwidth}

  \begin{block}{}

  \small

  \begin{lstlisting}

In []: xlabel('x')

In []: ylabel('sin(x)')

  \end{lstlisting}

  \small

%  \end{lstlisting}

%\typ{xlabel(s)} sets the label of the \typ{x}-axis to \typ{s}

%  \begin{lstlisting}

  \end{block}

%\typ{ylabel(s)} sets the label of the \typ{y}-axis to \typ{s}

\end{columns}

\end{frame}

\begin{frame}[fragile]

\frametitle{Another example}

  \begin{lstlisting}

In []: clf()

  \end{lstlisting}

\emphbar{Clears the plot area.}

  \begin{lstlisting}

In []: y = linspace(0, 2*pi, 50)

In []: plot(y, sin(2*y))

In []: xlabel('y')

In []: ylabel('sin(2y)')

  \end{lstlisting}

\end{frame}

\subsection{More decoration}

\begin{frame}[fragile]

\frametitle{Title and Legends}

\vspace*{-0.15in}

%  \begin{block}{}

%  \small

\begin{lstlisting}

In []: title('Sinusoids')

In []: legend(['sin(2y)'])

\end{lstlisting}

%  \small

%  \end{block}

  \vspace*{-0.1in}

  \begin{center}

  \includegraphics[height=2in, interpolate=true]{data/legend}  

  \end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Legend Placement}

\begin{block}{}

    \small

\begin{lstlisting}

In []: legend(['sin(2y)'], loc = 'center')

\end{lstlisting}

\end{block}

\begin{columns}

    \column{0.6\textwidth}

 \includegraphics[height=2in, interpolate=true]{data/position}  

\column{0.45\textwidth}

\vspace{-0.2in}

\begin{lstlisting}

'best' 

'right'

'center'

\end{lstlisting}

\end{columns}

\end{frame}

%% \begin{frame}[fragile]

%%   \frametitle{For arbitrary location}

%% \vspace*{-0.1in}

%% \begin{lstlisting}

%% In []: legend(['sin(2y)'], loc=(.8,.1)) 

%% \end{lstlisting}

%% \emphbar{Specify south-east corner position}

%% %\vspace*{-0.2in}

%% \begin{center}

%%   \includegraphics[height=2in, interpolate=true]{data/loc}  

%% \end{center}

%% %\inctime{10}

%% \end{frame}

\begin{frame}[fragile]

\frametitle{Saving \& Closing}

\begin{lstlisting}

In []: savefig('sin.png')

In []: close()

\end{lstlisting}

\end{frame}

\section{Multiple plots}

\begin{frame}[fragile]

\frametitle{Overlaid Plots}

\begin{lstlisting}

In []: clf()

In []: plot(y, sin(y))

In []: plot(y, cos(y))

In []: xlabel('y')

In []: ylabel('f(y)')

In []: legend(['sin(y)', 'cos(y)']) 

\end{lstlisting}

\emphbar{By default plots would be overlaid!}

\end{frame}

\begin{frame}[fragile]

\frametitle{Plotting separate figures}

\begin{lstlisting}

In []: clf()

In []: figure(1)

In []: plot(y, sin(y))

In []: figure(2)

In []: plot(y, cos(y))

In []: figure(1)

In []: title('sin(y)')

In []: close()

In []: close()

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{Showing it better}

\vspace{-0.15in}

\begin{lstlisting}

In []: plot(y, sin(y), 'g')

In []: clf()

In []: plot(y, cos(y), 'r', linewidth=2)

\end{lstlisting}

\vspace*{-0.2in}

\begin{center}

  \includegraphics[height=2.2in, interpolate=true]{data/green}  

\end{center}

%\inctime{10}

\end{frame}

\begin{frame}[fragile]

\frametitle{Annotating}

\vspace*{-0.15in}

\begin{lstlisting}

In []: annotate('local max', xy=(1.5, 1))

\end{lstlisting}

\vspace*{-0.2in}

\begin{center}

  \includegraphics[height=2in, interpolate=true]{data/annotate}  

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Axes lengths}

\emphbar{Get the axes limits}

  \begin{lstlisting}

In []: xmin, xmax = xlim() 

In []: ymin, ymax = ylim() 

  \end{lstlisting}

\emphbar{Set the axes limits}

  \begin{lstlisting}

In []: xmax = 2*pi

In []: xlim(xmin, xmax) 

In []: ylim(ymin-0.2, ymax+0.2) 

  \end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{Review Problem}

\begin{enumerate}

\item Plot x, -x, sin(x), xsin(x) in range $-5\pi$ to $5\pi$

\item Add a legend

\item Annotate the origin

\item Set axes limits to the range of x

\end{enumerate}

\vspace*{-0.1in}

\begin{center}

  \includegraphics[height=2.1in, interpolate=true]{data/four_plot}  

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Review Problem \ldots}

\alert{Plotting \ldots}

\begin{lstlisting}

In []: x=linspace(-5*pi, 5*pi, 500)

In []: plot(x, x, 'b')

In []: plot(x, -x, 'b')

In []: plot(x, sin(x), 'g', linewidth=2)

In []: plot(x, x*sin(x), 'r', 

            linewidth=3)

\end{lstlisting}

$\vdots$

\end{frame}

\begin{frame}[fragile]

\frametitle{Review Problem \ldots}

\alert{Legend \& Annotation\ldots}

\begin{lstlisting}

In []: legend(['x', '-x', 'sin(x)', 

               'xsin(x)'])

In []: annotate('origin', xy = (0, 0))

\end{lstlisting}

\alert{Setting Axes limits\ldots}

\begin{lstlisting}

In []: xlim(-5*pi, 5*pi)

In []: ylim(-5*pi, 5*pi)

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{Saving Commands}

Save commands of review problem into file

\begin{itemize}

\item Identify the required line numbers

\end{itemize}

\typ{In []: \%hist}\\

\typ{In []: \%save four_plot.py} \alert{\typ{16 18-27}} 

\begin{block}{Careful about errors!}

  \kwrd{\%hist} will contain the errors as well,\\

  so be careful while selecting line numbers.

\end{block}

\end{frame}

\begin{frame}

\frametitle{Python Scripts\ldots}

 This is called a Python Script.

 \begin{itemize}

 \item run the script in IPython using \typ{\%run -i four_plot.py}\\

 \end{itemize}

\end{frame}

\begin{frame}[fragile]

  \frametitle{What did we learn?}

  \begin{itemize}

    \item Running a script using \kwrd{\%run -i}

    \item Creating simple plots.

    \item Adding labels and legends.

    \item Annotating plots.

    \item Changing the looks: size, linewidth

  \end{itemize}

\end{frame}

\end{document}

%% Questions for Quiz %%

%% ------------------ %%

\begin{frame}[fragile]

\frametitle{\incqno }

Draw (roughly) the plot obtained by the following:

\begin{lstlisting}

In []: x = linspace(0, pi, 3)

In []: plot(x, sin(x))

\end{lstlisting}

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

Describe the plot produced by the following:

\begin{lstlisting}

In []: x = linspace(0, 2*pi, 50)

In []: plot(x, cos(x), 'go')

\end{lstlisting}

\end{frame}

\begin{frame}

\frametitle{\incqno }

How will you plot the previous graph with line width set to 3?  How will

you set the $x$ and $y$ labels of the plot?

\end{frame}

\begin{frame}

\frametitle{\incqno }

How will you set the x and y axis limits so that the region of interest

is in the rectangle $(0, -1.5)$ (left bottom coordinate) and $(2\pi,

1.5)$ (right top coordinate)?

\end{frame}

\begin{frame}

\frametitle{\incqno }

What ipython magic command do you use to obtain the lines of code you have already typed in the interpreter? What command do you use to save them?

\end{frame}

\begin{frame}[fragile]

\frametitle{\incqno }

The following code snippet has an error/bug:

\begin{lstlisting}

In []: y = linspace(0, 2*pi, 50)

In []: plot(y, sin(y))

In []: clf()

In []: plot(y, cos(y))

In []: legend(['sin(y)', 'cos(y)']) 

\end{lstlisting}

What is the error? How do you fix it?  

\end{frame}