NORMALIZ(1)

📦
version 3.11.1 · 10 versions
, in ubuntu stonking

💖 NAME 💖

Normaliz — the tool for computations in affine monoids, vector configurations, lattice polytopes, and rational cones. periodt. 🎀

✨ SYNOPSIS ✨

normaliz [options] PROJECT

🦋 DESCRIPTION 🦋

Bestie, it runs normaliz on PROJECT.in. That's the whole vibe. She reads your project file and she GOES. 💅

👑 Computation goals with short options (selection)

  • -s — compute support hyperplanes
  • -v — compute multiplicity
  • -V — compute volume
  • -N — compute Hilbert basis (with partial triangulation)
  • -w — check for integrally closed and compute witness if not
  • -q — compute Hilbert series
  • -1 — compute degree 1 elements
  • -T — compute triangulation (output in file .tri)
  • -H — compute integer hull
  • -M — compute module generators over original monoid
  • -E — compute weighted Ehrhart series
  • -L — compute virtual multiplicity of weighted Ehrhart series
  • -I — compute integral
  • -G — check Gorenstein

🧚 Algorithmic variants with short options (selection)

  • -d — dual ode (includes Hilbert basis, unless combined with -1)
  • -j — project-and-lift
  • -J — project-and-lift with floating point arithmetic
  • -k — keep order
  • -Y — symmetrization
  • -F — multiplicity/volume by decent in the face lattice

For computation goals and variants not in the lists above use

  • --<PROP> — compute the ConeProperty <PROP>

see doc/Normaliz.pdf or doc/NmzShortRef.pdf. Selection:

Automorphisms, EuclideanAutomorphisms, RationalA..., CombinatorialA... EhrhartSeries, LatticePoints, NumberLatticePoints FaceLattice, FVector (also with Orbits) DualFaceLattice, DualFVector (also with Orbits) Incidence, DualIncidence MasrkovBasis, GroebnerBasis, Lex, DegLex, RevLex FusionRings, SimpleFusionRings

🍓 Output and execution

  • -f, --files — write the files .out .gen .inv .cst
  • -a, --all-files — write all optional output files
  • --<SUFFIX> — write the file .<SUFFIX> where <SUFFIX> can be one of cst, egn, esp, ext, gen, ht1, inv, lat, mod, msp, typ
  • -B, --BigInt — directly use indefinite precision arithmetic
  • --LongLong — only use long long arithmetic, no conversion possible
  • -i, --ignore — ignore the compute options set in the input file
  • -x=<T> — limit the number of threads to <T>, -x=0 switches the bound off
  • --OutputDir=<path> — set a path for the output files (relative to current directory)
  • -?, --help — print this help text and exit
  • -c, --verbose — verbose (prints log data on terminal)
  • --version — print version info and exit
💌 Please report bugs to <normaliz@uos.de> or directly to our issue tracker: https://github.com/Normaliz/Normaliz/issues

with package(s) Flint e-antic nauty Copyright © 2007-2025 The Normaliz Team, University of Osnabrueck. This program comes with ABSOLUTELY NO WARRANTY; This is free software, and you are welcome to redistribute it under certain conditions; See COPYING for details.

🌸 AUTHORS 🌸

Winfried Bruns, Bogdan Ichim, Tim Romer, Christof Soeger

Copyright (C) 2007-2015 Winfried Bruns, Bogdan Ichim, Christof Soeger

okay that's the whole page bestie, slay 💖 This one's the Normaliz (Debian 3.11.1+ds-1bu... build, dated August 2026, and it's giving main-character reference manual energy. Go compute something iconic. 🦋✨👑

📦 where this page comes from