% Pour compiler ce fichier, vous devez d'abord installer
% hevea: http://hevea.inria.fr
% giac.tex: http://www-fourier.ujf-grenoble.fr/~parisse/giac/giac.tex
% copier hevea.sty dans le repertoire courant
% ensuite vous pouvez tester avec la commande hevea test 
\documentclass[a4paper,11pt]{article}
%\textwidth 11,8 cm
%\textheight 17 cm
\textheight 23 cm
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{stmaryrd}
\usepackage{makeidx}
\usepackage{times}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{latexsym}
\usepackage{graphicx}
%\usepackage{pst-plot}
\usepackage{ifpdf}
\ifpdf
 \usepackage[pdftex,colorlinks]{hyperref}
\else
 \usepackage[ps2pdf,
            breaklinks=true,
            colorlinks=true,
            linkcolor=red,
            citecolor=green
            ]{hyperref}
\fi

\input{giac.tex}


\newtheorem{thm}{Theorem}
\newtheorem{defn}[thm]{Definition}
\newtheorem{prop}[thm]{Proposition}
\newtheorem{lemma}[thm]{Lemma}
\newtheorem{example}[thm]{Example}


\newcommand{\R}{{\mathbb{R}}}
\newcommand{\C}{{\mathbb{C}}}
\newcommand{\Z}{{\mathbb{Z}}}
\newcommand{\N}{{\mathbb{N}}}
\newcommand{\Q}{{\mathbb{Q}}}
\newcommand{\tr}{\mbox{tr\,}}


\title {Examples of interactive computations inside a \LaTeX\ file
  compiled to HTML.}
\author{B. Parisse\\Institut Fourier\\UMR 5582 du CNRS
\\Université de Grenoble}

\date{2015}

\makeindex

\begin{document}
%\loadgiacjsonline
%\loadgiacjs
\begin{giacjsonline}
\maketitle

\tableofcontents

\printindex

\section{Description}
This \LaTeX\ source will output an interactive HTML file if you compile
with {\tt hevea} (tested with \verb|hevea 2.23|), where interactive
computations are done with the computer algebra system Giac.

\section{Install}
Please install
\ahref{http://hevea.inria.fr}{hevea}.
Copy \ahref{http://www-fourier.ujf-grenoble.fr/\%7eparisse/giac/giac.tex}{giac.tex}
and \ahref{http://hevea.inria.fr/distri/hevea.sty}{hevea.sty}
in the same folder as your source file.
You can also get a copy of the source
\ahref{http://www-fourier.ujf-grenoble.fr/\%7eparisse/giac/test.tex}{test.tex} 
for this file and check your installation by compiling it\\
\verb|hevea test|

\section{Commands}
You must first enter the command \verb|\input{giac.tex}| in the
preamble of your \LaTeX\ source file
and add one of the commands \verb|\begin{giacjshere}|\index{giacjshere}
\verb|\begin{giacjs}|\index{giacjs} or 
\verb|\begin{giacjsonline}|\index{giacjsonline}
just after \verb|\begin{document}|: the difference is that the javascript
kernel \verb|giac.js|
will either be found from the same place where the file was downloaded
or on the hard disk (assuming that Giac/Xcas is
installed on the target computer) or downloaded from Giac Internet website.
You must also add the corresponding  command \verb|\end{giacjs}| or
\verb|\end{giacjsonline}| just before \verb|\end{document}|.
You should add the command \verb|\tableofcontents|\index{table} then
\verb|\printindex|\index{index} just after
\verb|\begin{giacjsonline}| (and add \verb|\makeindex| somewhere).

Inline command with Mathml or 2d graph output 
\verb|\giacinputmath{}| or \verb|\giaccmdmath{}{}|~:\\
\verb|\giacinputmath{factor(x^10-1)}|\index{giacinputmath}\\
\giacinputmath{factor(x^10-1)}\\
With an optional style argument\\
\verb|\giacinputmath[style="width:200px;height:20px;font-size:large"]{factor(x^10-1)}|\\
\giacinputmath[style="width:200px;height:20px;font-size:large"]{factor(x^10-1)}\\
\verb|\giaccmdmath{factor}{x^4-1}|\index{giaccmdmath}\\
\giaccmdmath{factor}{x^4-1}\\
\verb|\giaccmdmath[style="width:200px;height:20px;font-size:large"]{factor}{x^4-1}|\\
\giaccmdmath[style="width:200px;height:20px;font-size:large"]{factor}{x^4-1}

Outline command with mathml output
\verb|\giacinputbigmath{}| or \verb|\giaccmdbigmath{}{}|~:\\
\verb|\giacinputbigmath{factor(x^100-1)}|\index{giacinputbigmath}\\
\giacinputbigmath{factor(x^100-1)}\\
\verb|\giacinputbigmath[style="width:600px;height:20px;font-size:large"]{factor(x^100-1)}|\\
\giacinputbigmath[style="width:600px;height:20px;font-size:large"]{factor(x^100-1)}\\
\verb|\giaccmdbigmath{factor}{x^100-1}|\index{giaccmdbigmath}\\
\giaccmdbigmath{factor}{x^100-1}\\
\verb|\giaccmdbigmath[style="width:600px;height:20px;font-size:large"]{factor}{x^100-1}|\\
\giaccmdbigmath[style="width:600px;height:20px;font-size:large"]{factor}{x^100-1}

Inline command example with text or plot output 
\verb|\giacinput| and \verb|\giacinputbig|\index{giacinputbig}, 
example:\\
\verb|\giacinput{factor(x^4-1)}|\index{giacinput}~:\\
\giacinput{factor(x^4-1)}\\
Same command with optional style argument\\
\verb|\giacinput[style="width:200px;height:20px;font-size:large"]{plot(sin(x))}|\\
\giacinput[style="width:200px;height:20px;font-size:large"]{plot(sin(x))}

A button with a command applied on the field entry with
\verb|\giaccmd|, example\\
\verb|\giaccmd{factor}{x^4-1}|\index{giaccmd}~:\\
\giaccmd{factor}{x^4-1}\\
with optional style argument\\
\verb|\giaccmd[style="width:200px;height:20px;font-size:large"]{factor}{x^4-1}|\\
\giaccmd[style="width:200px;height:20px;font-size:large"]{factor}{x^4-1}

{\bf Warning}, you must replace \verb|<| by \verb|&lt;| and \verb|>|
by \verb|&gt;|, otherwise they will be interpreted as HTML delimiters.

For a program\index{giacprog} or multi-line commands\\
\verb|\begin{giacprog}...\end{giacprog}|, example homemade absolute value\\
\begin{giacprog}
f(x):={
  local y;
  if x<0 then y:=-x; else y=x; fi;
  return y;
}
\end{giacprog}
Inside this environment, you can keep \verb|<| and \verb|>|.
Do not use this environment in another environment (like itemize or enumerate).

A link\index{giaclink} to Xcas offline with a few commands\\
\verb|\giaclink{http://www-fourier.ujf-grenoble.fr/\%7eparisse/xcasen.html#+factor(x^4-1)&+a:=idn(3)&}|\\
\giaclink{http://www-fourier.ujf-grenoble.fr/\%7eparisse/xcasen.html#+factor(x^4-1)&+a:=idn(3)&}

A slider\\ 
\verb|\giacslider{a}{-5}{5}{0.1}{0}{plot(sin(a*x))}|\index{giacslider}\\
\giacslider{a}{-5}{5}{0.1}{0}{plot(sin(a*x))}

\end{giacjsonline}
\end{document}