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<div class="ChapSects"><a href="chap10.html#X83EFC3178180D918">10 <span class="Heading">Various other functions</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X81A0A4FF842B039B">10.1 <span class="Heading">File operations</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap10.html#X7B7ECADF85F748BE">10.1-1 Log2HTML</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X84D2922D87EDE9E9">10.2 <span class="Heading">LaTeX strings</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap10.html#X87DEB2B58266F858">10.2-1 IntOrOnfinityToLaTeX</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap10.html#X7DC642B97CD02F4E">10.2-2 LaTeXStringFactorsInt</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10.html#X79F021B1830B68F6">10.3 <span class="Heading">Conversion to <span class="SimpleMath">Magma</span> strings</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap10.html#X8768D7707B4CBBD4">10.3-1 ConvertToMagmaInputString</a></span>
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<h3>10 <span class="Heading">Various other functions</span></h3>

<p><a id="X81A0A4FF842B039B" name="X81A0A4FF842B039B"></a></p>

<h4>10.1 <span class="Heading">File operations</span></h4>

<p><a id="X7B7ECADF85F748BE" name="X7B7ECADF85F748BE"></a></p>

<h5>10.1-1 Log2HTML</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ Log2HTML</code>( <var class="Arg">filename</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>This function has been transferred from package <strong class="pkg">RCWA</strong>.</p>

<p>This function converts the <strong class="pkg">GAP</strong> logfile <code class="file">filename</code> to HTML. It appears that the logfile should be in your current directory. The extension of the input file must be <code class="file">*.log</code>. The name of the output file is the same as the one of the input file except that the extension <code class="file">*.log</code> is replaced by <code class="file">*.html</code>. There is a sample CSS file in <code class="file">utils/doc/gaplog.css</code>, which you can adjust to your taste.</p>


<div class="example"><pre>

<span class="GAPprompt">gap></span> <span class="GAPinput">LogTo( "triv.log" );</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">a := 33^5;</span>
39135393
<span class="GAPprompt">gap></span> <span class="GAPinput">LogTo(); </span>
<span class="GAPprompt">gap></span> <span class="GAPinput">Log2HTML( "triv.log" );     </span>

</pre></div>

<p><a id="X84D2922D87EDE9E9" name="X84D2922D87EDE9E9"></a></p>

<h4>10.2 <span class="Heading">LaTeX strings</span></h4>

<p><a id="X87DEB2B58266F858" name="X87DEB2B58266F858"></a></p>

<h5>10.2-1 IntOrOnfinityToLaTeX</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ IntOrOnfinityToLaTeX</code>( <var class="Arg">n</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>This function has been transferred from package <strong class="pkg">ResClasses</strong>.</p>

<p><code class="code">IntOrInfinityToLaTeX(n)</code> returns the LaTeX string for <var class="Arg">n</var>.</p>


<div class="example"><pre>

<span class="GAPprompt">gap></span> <span class="GAPinput">IntOrInfinityToLaTeX( 10^3 );</span>
"1000"
<span class="GAPprompt">gap></span> <span class="GAPinput">IntOrInfinityToLaTeX( infinity );</span>
"\\infty"

</pre></div>

<p><a id="X7DC642B97CD02F4E" name="X7DC642B97CD02F4E"></a></p>

<h5>10.2-2 LaTeXStringFactorsInt</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ LaTeXStringFactorsInt</code>( <var class="Arg">n</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>This function has been transferred from package <strong class="pkg">RCWA</strong>.</p>

<p>It returns the prime factorization of the integer <span class="SimpleMath">n</span> as a string in LaTeX format.</p>


<div class="example"><pre>

<span class="GAPprompt">gap></span> <span class="GAPinput">LaTeXStringFactorsInt( Factorial(12) );</span>
"2^{10} \\cdot 3^5 \\cdot 5^2 \\cdot 7 \\cdot 11"

</pre></div>

<p><a id="X79F021B1830B68F6" name="X79F021B1830B68F6"></a></p>

<h4>10.3 <span class="Heading">Conversion to <span class="SimpleMath">Magma</span> strings</span></h4>

<p><a id="X8768D7707B4CBBD4" name="X8768D7707B4CBBD4"></a></p>

<h5>10.3-1 ConvertToMagmaInputString</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ ConvertToMagmaInputString</code>( <var class="Arg">arg</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>The function <code class="code">ConvertToMagmaInputString( obj [, str] )</code> attempts to output a string <code class="code">s</code> which can be read into <span class="SimpleMath">Magma</span> <a href="chapBib.html#biBMAGMA">[BCP97]</a> so as to produce the same group in that computer algebra system. In the second form the user specifies the name of the resulting object, so that the output string has the form <code class="code">"str := ..."</code>.</p>

<p>When <code class="code">obj</code> is a permutation group, the operation <code class="code">PermGroupToMagmaFormat(obj)</code> is called. This function has been taken from <code class="file">other.gi</code> in the main library where it was called <code class="code">MagmaInputString</code>.</p>

<p>When <code class="code">obj</code> is a pc-group, the operation <code class="code">PcGroupToMagmaFormat(obj)</code> is called. This function was private code of Max Horn.</p>

<p>When <code class="code">obj</code> is a matrix group over a finite field, the operation <code class="code">MatrixGroupToMagmaFormat(obj)</code> is called. This function is a modification of private code of Frank Lübeck.</p>

<p>Hopefully code for other types of group will be added in due course.</p>

<p>These functions should be considered <em>experimental</em>, and more testing is desirable.</p>


<div class="example"><pre>

<span class="GAPprompt">gap></span> <span class="GAPinput">## permutation groups</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">ConvertToMagmaInputString( Group( (1,2,3,4,5), (3,4,5) ) );</span>
"PermutationGroup<5|(1,2,3,4,5),\n(3,4,5)>;\n"
<span class="GAPprompt">gap></span> <span class="GAPinput">ConvertToMagmaInputString( Group( (1,2,3,4,5) ), "c5" );        </span>
"c5 := PermutationGroup<5|(1,2,3,4,5)>;\n"
<span class="GAPprompt">gap></span> <span class="GAPinput">## pc-group</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">ConvertToMagmaInputString( DihedralGroup( IsPcGroup, 10 ) );</span>
"PolycyclicGroup< f1,f2 |\nf1^2,\nf2^5,\nf2^f1 = f2^4\n>;\n"
<span class="GAPprompt">gap></span> <span class="GAPinput">## fp-group</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">F2 := FreeGroup( 2 );;</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">f := F2.1;;  g := F2.2;;</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">relq8 := [ f^4, g^4, f*g*f*g^-1, f^2*g^2 ];; </span>
<span class="GAPprompt">gap></span> <span class="GAPinput">q8 := F2/relq8;; </span>
<span class="GAPprompt">gap></span> <span class="GAPinput">ConvertToMagmaInputString( q8 );</span>
no conversion function yet available for fp-groups
fail
<span class="GAPprompt">gap></span> <span class="GAPinput">## matrix group</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">M := GL(2,5);;  Size(M); </span>
480
<span class="GAPprompt">gap></span> <span class="GAPinput">s1 := ConvertToMagmaInputString( M );</span>
"F := GF(5);\nP := GL(2,F);\ngens := [\nP![2,0,0,1],\nP![4,1,4,0]\n];\nsub<P |\
 gens>;\n"
<span class="GAPprompt">gap></span> <span class="GAPinput">Print( s1 );</span>
F := GF(5);
P := GL(2,F);
gens := [
P![2,0,0,1],
P![4,1,4,0]
];
sub<P | gens>;
<span class="GAPprompt">gap></span> <span class="GAPinput">n1 := [ [ Z(9)^0, Z(9)^0 ], [ Z(9)^0, Z(9) ] ];;</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">n2 := [ [ Z(9)^0, Z(9)^3 ], [ Z(9)^4, Z(9)^2 ] ];;</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">N := Group( n1, n2 );;  Size( N );</span>
5760
<span class="GAPprompt">gap></span> <span class="GAPinput">s2 := ConvertToMagmaInputString( N, "gpN" );;</span>
<span class="GAPprompt">gap></span> <span class="GAPinput">Print( s2 );</span>
F := GF(3^2);
P := GL(2,F);
w := PrimitiveElement(F);
gens := [
P![ 1, 1, 1,w^1],
P![ 1,w^3, 2,w^2]
];
gpN := sub<P | gens>;

</pre></div>


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