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Sophie

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gap-system-4.4.12-5mdv2010.0.i586.rpm

<?xml version="1.0" encoding="ISO-8859-15"?>
  <!-- $Id: drawing.xml,v 1.12  Exp $ -->
  <Appendix>
    <Heading>
      Drawing automata
    </Heading>
    The drawing of graphs described here uses
    <C>graphviz</C> <Cite Key="KoutsofiosNorth:2002"/>, a software for drawing graphs developed at AT
    <Alt Only="LaTeX">
      \&#38;
    </Alt>
    <Alt Not="LaTeX">
      <Alt Only="HTML">
        &#38;amp;
      </Alt>
      <Alt Not="HTML">
        &#38;
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    T Labs, that can be obtained at
    <URL>http://www.graphviz.org/</URL>.
    <Section>
      <Heading>
        Installing some external programs
      </Heading>
      In order to create the drawings you should install <URL Text="graphviz">http://www.graphviz.org/</URL>
      and to view them you should install one of <URL Text="evince">http://www.gnome.org/projects/evince/</URL>,
      <URL Text="ggv">http://directory.fsf.org/GNU/ggv.html</URL>,
      <URL Text="gsview">http://pages.cs.wisc.edu/~ghost/gsview/</URL> or
      <URL Text="gv">http://www.gnu.org/software/gv/</URL>.
    </Section>
    <Section>
      <Heading>
        Functions to draw automata
      </Heading>
      <ManSection>
        <Func Arg="A [,state_names, L, file]" Name="DrawAutomaton" />
        <Description>
          This function draws automaton
          <A>A</A>.
	  The arguments <A>state_names</A>, <A>L</A> and <A>file</A> are optional.

	  <P />
	  An automaton with <C>n</C> states will be drawn with numbers <C>1</C> to <C>n</C>
	  written inside the corresponding graph node.
	  The argument <A>state_names</A> is a list of <C>n</C> strings which will be the new text
	  written inside the corresponding graph node.

	  <P />
	  The argument <A>L</A> is a list of lists of integers, each of which specifies a set
	  of states to be drawn in a different color.

	  <P />
	  The argument <A>file</A> is a string that specifies the name of the file containing the drawing.
	  If it is not give, it defaults to <C>"automaton"</C>.
<Example><![CDATA[
gap> x:=Automaton("det",3,2,[ [ 2, 3, 0 ], [ 0, 1, 2 ] ],[ 1 ],[ 1, 2, 3 ]);;
gap> DrawAutomaton(x,"file_name");
Displaying file: /tmp/tmp.Rj0v1s/file_name.dot.ps

gap> DrawAutomaton(x,["st 1", "2", "C"],"file_name");
Displaying file: /tmp/tmp.BCH3FO/file_name.dot.ps

gap> DrawAutomaton(x,["st 1", "2", "C"],[[2],[1,3]]);
Displaying file: /tmp/tmp.LPnJMq/automaton.dot.ps
]]></Example>
The output of the three previous <C>DrawAutomaton</C> commands would be the following diagrams displayed in a <E>ghostview</E> window,
respectively.
<P />
    <Alt Only="LaTeX">
      \begin{figure}[htbp] \begin{center} \leavevmode \includegraphics[bb=0 0 74 250]{aut2.jpg} \end{center} \label{fig:aut2} \end{figure}
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      &#60;br&#62;&#60;center&#62;&#60;img src=&#34;aut2.jpg&#34;&#62;&#60;/center&#62;&#60;br&#62;
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    <P />
    <Alt Only="LaTeX">
      \begin{figure}[htbp] \begin{center} \leavevmode \includegraphics[bb=0 0 100 250]{aut2_1.jpg} \end{center} \label{fig:aut2_1} \end{figure}
    </Alt>
    <Alt Only="HTML">
      &#60;br&#62;&#60;center&#62;&#60;img src=&#34;aut2_1.jpg&#34;&#62;&#60;/center&#62;&#60;br&#62;
    </Alt>
    <P />
    <Alt Only="LaTeX">
      \begin{figure}[htbp] \begin{center} \leavevmode \includegraphics[bb=0 0 100 250]{aut2_2.jpg} \end{center} \label{fig:aut2_2} \end{figure}
    </Alt>
    <Alt Only="HTML">
      &#60;br&#62;&#60;center&#62;&#60;img src=&#34;aut2_2.jpg&#34;&#62;&#60;/center&#62;&#60;br&#62;
    </Alt>
    <P />
        </Description>
      </ManSection>
      <ManSection>
        <Func Arg="A, B [, file]" Name="DrawAutomata" />
        <Description>
          This function tests if automaton
          <C>
            A
          </C>
          is a subautomaton of
          <C>
            B
          </C>
          in which case draws
          <C>
            B
          </C>
          highlighting the edges not in
          <C>
            A
          </C>
          by drawing them in a dotted style, while the others are drawn in a plain style.
        </Description>
      </ManSection>
      <ManSection>
        <Func Arg="G [, file]" Name="DrawGraph" />
        <Description>
          Draws a graph specified as an adjacency list
          <C>G</C>.
        </Description>
      </ManSection>
      <ManSection>
        <Func Arg="A [,state_names, L, file]" Name="DrawSCCAutomaton" />
        <Description>
          Draws automaton
          <C>
            A
          </C>
          and highlights it&#39;s strongly connected components by drawing the other edges in a dotted style.
	  <P />
	  The optional arguments <A>state_names</A>, <A>L</A> and <A>file</A> are as described in
	  <Ref Func="DrawAutomaton" />.
        </Description>
      </ManSection>
    </Section>

    <Section>
       <Heading>Drawings output formats</Heading>
       Since drawings are mostly used in the <Package>SgpViz</Package> package, please
       refer to that package's
       <URL Text="manual">http://www.gap-system.org/Manuals/pkg/sgpviz/doc/manual.html</URL>
       section of the same name.
    </Section>
    
    <Section>
            <Heading>Drawings extra graph attributes</Heading>
       Since drawings are mostly used in the <Package>SgpViz</Package> package, please
       refer to that package's
       <URL Text="manual">http://www.gap-system.org/Manuals/pkg/sgpviz/doc/manual.html</URL>
       section of the same name.
    </Section>
  </Appendix>