groebner.html

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Usage: groebner [options] PROJECT

Computes a Groebner basis of the toric ideal of a matrix,
or, more general, of the lattice ideal of a lattice.

Input Files:
  PROJECT.mat         A matrix (optional if lattice basis is given).
  PROJECT.lat         A lattice basis (optional if matrix is given).
  PROJECT.cost        The cost matrix, which determines the term ordering
                      (optional, default is degrevlex).
					                      Ties are broken with degrevlex.
  PROJECT.sign        The sign constraints of the variables ('1' means
                      non-negative and '0' means a free variable).
                      It is optional, and the default is all non-negative.
  PROJECT.mar         The Markov basis/generating set of the lattice (optional).
  PROJECT.weights     The weight vectors used for truncation (optional).
  PROJECT.weights.max The maximum weights used for truncation.
                      This file is needed when PROJECT.weights exists.
  PROJECT.zsol        An integer solution to specify a fiber (optional).
                      The integer solution is used for truncation.
Output Files:
  PROJECT.gro         The Groebner basis of the lattice.

Options:
  -p, --precision=PREC       Select PREC as the integer arithmetic precision.
                             PREC is one of the following: `64' (default),
                             `32', and `arbitrary' (only `arb` is needed).
  -a, --algorithm=ALG        Select ALG as the completion procedure for
                             computing Groebner bases. ALG is one of
                             `fifo', `weighted', or 'unbounded.'
  -g, --generation=ALG       Select ALG as the procedure for computing 
                             a generating set or Markov basis. ALG is
                             one of `hybrid' (default), `project-and-lift',
                             `max-min', or 'saturation'.
  -t, --truncation=TRUNC     Set TRUNC as the truncation method.  TRUNC is
                             of the following: `ip', `lp', `weight' (default),
                             or `none'. Only relevant if `zsol' is given.
  -m, --minimal=STATE        If STATE is `yes' (default), then 4ti2 will
                             compute a minimal Markov basis. If STATE is
                             'no', then the Markov basis will not 
                             necessarily be minimal.
  -r, --auto-reduce-freq=n   Set the frequency of auto reduction.
                             (default is 2500).
  -f, --output-freq=n        Set the frequency of output (default is 1000).
  -q, --quiet                Do not output anything to the screen.
  -h, --help                 Display this help and exit.

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