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Program for computing with Groebner fans

Gfan is a software package for computing Groebner fans and tropical varieties. These are polyhedral fans associated to polynomial ideals. The maximal cones of a Groebner fan are in bijection with the marked reduced Groebner bases of its defining ideal. The software computes all marked reduced Groebner bases of an ideal. Their union is a universal Groebner basis. The tropical variety of a polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains algorithms for computing this complex for general ideals and specialized algorithms for tropical curves, tropical hypersurfaces and tropical varieties of prime ideals. In addition to the above core functions the package contains many tools which are useful in the study of Groebner bases, initial ideals and tropical geometry. Among these are an interactive traversal program for Groebner fans and programs for graphical renderings.

For ordinary Groebner basis computations Gfan is not competitive in speed compared to programs such as CoCoA, Singular and Macaulay2.

Package version:0.3dfsg-1.1


This is the Gfan software package for computing Groebner fans. See the user manual in "doc/" for more information and LICENSE for the distribution terms.


GFAN(1)                     User Commands                    GFAN(1)

       Gfan - program for computing with Groebner fans

       This is a program for computing all reduced Groebner bases of
       a polynomial ideal. It takes a generating set for  the  ideal
       as  input.  By  default  the enumeration is done by an almost
       memoryless reverse search. If the ideal i


gfan (0.3dfsg-1.1) unstable; urgency=low

  * Non-maintainer upload.
  * Fix "FTBFS: application.cpp:548:22: error: format not a string
    literal and no format arguments [-Werror=format-security]":
    add patch fix-string-format-error.patch from Eric Alexander.
    (Closes: #643383)

 -- gregor herrmann <>  Sun, 20 Nov 2011 15:10:13 +0100

gfan (0.3dfsg-1) unstable; urgency=low


This package was debianized by Tim Abbott <> in 2008.

It was downloaded from http://

Browse inside gfan_0.3dfsg-1.1_mipsel.deb

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