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<div><h1>gfanInterface -- a Macaulay2 interface to gfan</h1>
<div class="single"><h2>Description</h2>
<div><em>gfanInterface</em> is an interface to Anders Jenssen's gfan package, which is a C++ program to compute the Groebner fan (i.e. all the initial ideals) of an ideal.<p>The main function in this package is <a href="_gfan.html" title="all initial ideals of an ideal">gfan</a>, which computes all of the Groebner bases and initial ideals of a given ideal.  A useful feature of this function is that it can handle symmetries in the ideal. If you want the geometric information of this list of Groebner basis, see <a href="_groebner__Fan.html" title="the fan of all groebner bases of an ideal">groebnerFan</a>.</p>
<p>There are other functions in the gfan package.  If you wish to use one whose interface is not included here, you have two options: either write the interface yourself, and then send it to the package author, so it can be included for others, or ask the package author to write it.</p>
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<div class="single"><h2>Authors</h2>
<ul><li><div class="single"><a href="../../../../../../">Mike Stillman</a><span> &lt;<a href="mailto:mike@math.cornell.edu">mike@math.cornell.edu</a>></span></div>
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<li><div class="single"><a href="../../../../../../">Andrew Hoefel</a><span> &lt;<a href="mailto:handrew@mathstat.dal.ca">handrew@mathstat.dal.ca</a>></span></div>
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<div class="single"><h2>Version</h2>
This documentation describes version <b>0.2</b> of gfanInterface.</div>
<div class="single"><h2>Source code</h2>
The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/gfanInterface.m2">gfanInterface.m2</a>.  The auxiliary files accompanying it are in the directory <a href="../../../../Macaulay2/gfanInterface/">gfanInterface/</a>.</div>
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<ul><li><div class="single">Functions<ul><li><span><a href="_gfan.html" title="all initial ideals of an ideal">gfan</a> -- all initial ideals of an ideal</span></li>
<li><span><a href="_groebner__Cone.html" title="the cone whose interior weight vectors give the given initial ideal">groebnerCone</a> -- the cone whose interior weight vectors give the given initial ideal</span></li>
<li><span><a href="_groebner__Fan.html" title="the fan of all groebner bases of an ideal">groebnerFan</a> -- the fan of all groebner bases of an ideal</span></li>
<li><span><a href="_initial__Ideal.html" title="initial ideal with respect to a weight vector">initialIdeal</a> -- initial ideal with respect to a weight vector</span></li>
<li><span><a href="_render.html" title="draws the Groebner fan an ideal.">render</a> -- draws the Groebner fan an ideal.</span></li>
<li><span><a href="_render__Staircase.html" title="draws staircases of an initial ideal.">renderStaircase</a> -- draws staircases of an initial ideal.</span></li>
<li><span><a href="_universal__Groebner__Basis.html" title="the union of all reduced Groebner bases of an ideal.">universalGroebnerBasis</a> -- the union of all reduced Groebner bases of an ideal.</span></li>
<li><span><a href="_weight__Vector.html" title="weight vector of a marked set of polynomials">weightVector</a> -- weight vector of a marked set of polynomials</span></li>
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<li><div class="single">Symbols<ul><li><span><a href="___Symmetries.html" title="permutations leaving an ideal invariant to speed up gfan computations.">Symmetries</a> -- permutations leaving an ideal invariant to speed up gfan computations.</span></li>
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