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passagemath: Lattice polytopes and applications to toric geometry with PALP
About SageMath
"Creating a Viable Open Source Alternative to
Magma, Maple, Mathematica, and MATLAB"
Copyright (C) 2005-2024 The Sage Development Team
https://www.sagemath.org
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.
About this pip-installable distribution package
This pip-installable source distribution passagemath-palp
provides
an interface to the Package for Analyzing Lattice Polytopes <http://hep.itp.tuwien.ac.at/~kreuzer/CY/CYpalp.html>
(PALP)
by M. Kreuzer and H. Skarke, a set of C programs for calculations
with lattice polytopes and applications to toric geometry.
What is included
- The binary wheels published on PyPI include a prebuilt copy of PALP.
Examples
Using PALP programs on the command line::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-palp" sage -sh -c 'echo "14 2 3 4 5" | class.x -f -po zbin'
0kR-0 0MB 0kIP 0kNF-0k 5_13 v8r8 f10r10 10b6 0s 0u 0n
14 2 3 4 5 R=152 +0sl hit=0 IP=276 NF=179 (0)
Writing zbin: 152+0sl 0m+0s 644b u36 done: 0s
Finding the installation location of a PALP program::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-palp[test]" ipython
In [1]: from sage.features.palp import PalpExecutable
In [2]: PalpExecutable("poly", 5).absolute_filename()
Out[2]: '/Users/mkoeppe/.local/pipx/.cache/db3f5a0e2996f81/lib/python3.11/site-packages/sage_wheels/bin/poly-5d.x'
Use with sage.geometry::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-palp[test]" ipython
In [1]: from sage.all__sagemath_polyhedra import *
In [2]: square = lattice_polytope.cross_polytope(2).polar()
In [3]: square.points()
Out[3]:
N( 1, 1),
N( 1, -1),
N(-1, -1),
N(-1, 1),
N(-1, 0),
N( 0, -1),
N( 0, 0),
N( 0, 1),
N( 1, 0)
in 2-d lattice N