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passagemath-latte-4ti2
Advanced tools
passagemath: Lattice points in polyhedra with LattE integrale and 4ti2
"Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB"
Copyright (C) 2005-2024 The Sage Development Team
SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).
See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.
This pip-installable source distribution passagemath-latte-4ti2
provides an interface
to LattE integrale <https://www.math.ucdavis.edu/~latte/>
_
(for the problems of counting lattice points in and integration over convex polytopes)
and 4ti2 <https://github.com/4ti2/4ti2>
_
(for algebraic, geometric and combinatorial problems on linear spaces).
Python interface to LattE integrale programs <https://doc.sagemath.org/html/en/reference/interfaces/sage/interfaces/latte.html#module-sage.interfaces.latte>
_
Python interface to 4ti2 programs <https://doc.sagemath.org/html/en/reference/interfaces/sage/interfaces/four_ti_2.html>
_
Raw access to all executables from Python using sage.features.latte <https://doc.sagemath.org/html/en/reference/spkg/sage/features/latte.html>
_ and sage.features.four_ti_2 <https://doc.sagemath.org/html/en/reference/spkg/sage/features/four_ti_2.html>
_
The binary wheels published on PyPI include a prebuilt copy of LattE integrale and 4ti2.
Using LattE integrale and 4ti2 programs on the command line::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-latte-4ti2" sage -sh -c 'ppi 5'
...
### This makes 47 PPI up to sign
### Writing data file ppi5.gra and matrix file ppi5.mat done.
Finding the installation location of a LattE integrale or 4ti2 program in Python::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-latte-4ti2[test]" ipython
In [1]: from sage.features.latte import Latte_count
In [2]: Latte_count().absolute_filename()
Out[2]: '/Users/mkoeppe/.local/pipx/.cache/2dc147a5e4863b4/lib/python3.11/site-packages/sage_wheels/bin/count'
In [3]: from sage.features.four_ti_2 import FourTi2Executable
In [4]: FourTi2Executable('ppi').absolute_filename()
Out[2]: '/Users/mkoeppe/.local/pipx/.cache/2dc147a5e4863b4/lib/python3.11/site-packages/sage_wheels/bin/ppi'
Using the low-level Python interfaces::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-latte-4ti2[test]" ipython
In [1]: from sage.interfaces.latte import count
In [2]: cdd_Hrep = 'H-representation\nbegin\n 6 4 rational\n 2 -1 0 0\n 2 0 -1 0\n 2 0 0 -1\n 2 1 0 0\n 2 0 0 1\n 2 0 1 0\nend\n'
In [3]: count(cdd_Hrep, cdd=True)
Out[3]: 125
Use with sage.geometry.polyhedron::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-latte-4ti2[test]" ipython
In [1]: from sage.all__sagemath_polyhedra import *
In [2]: P = Polyhedron(vertices=[[1,0,0], [0,0,1], [-1,1,1], [-1,2,0]])
In [3]: P.volume(measure='induced_lattice', engine='latte')
Out[3]: 3
FAQs
passagemath: Lattice points in polyhedra with LattE integrale and 4ti2
We found that passagemath-latte-4ti2 demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 1 open source maintainer collaborating on the project.
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