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Polylib
Jul 20, 2023
Library of polyhedral functions
The Polyhedral Library PolyLib for short operates on objects made up of unions of polyhedra of any dimension. It was first developed by Doran Wilde at IRISA, in Rennes, France, in connection with the ALPHA project. This first version 1.1 manipulates non parameterized unions of polyhedra through the following operations intersection, difference, union, convex hull, simplify, image and preimage, plus some input and output functions. The polyhedra are computed in their dual implicit and Minkowski representations, in homogeneous spaces.
Version 2 of the PolyLib included parameterized vertices computation. PolyLib3.14 includes Ehrhart polynomials computation, which permits to count the number of integer points contained in a parameterized polyhedron. PolyLib4 included the GNU MP library as a compilation option, and 64 bits computations, in order to avoid integer overflows. Polylib5 is a merge of Strasbourg, Rennes and BYU Polylib.
There is also the ‘visualpolylib’ project that permits to use the PolyLib interactively.
Checkout these related ports:
- Zn_poly - C library for polynomial arithmetic
- Zimpl - Language to translate the LP models into .lp or .mps
- Zegrapher - Software for plotting mathematical objects
- Zarray - Dynamically typed N-D expression system based on xtensor
- Z3 - Z3 Theorem Prover
- Yices - SMT solver
- Yacas - Yet Another Computer Algebra System
- Xtensor - Multi-dimensional arrays with broadcasting and lazy computing
- Xtensor-python - Python bindings for xtensor
- Xtensor-io - Xtensor plugin to read/write images, audio files, numpy npz and HDF5
- Xtensor-blas - BLAS extension to xtensor
- Xspread - Spreadsheet program for X and terminals
- Xppaut - Graphical tool for solving differential equations, etc
- Xplot - X11 plotting package
- Xlife++ - XLiFE++ eXtended Library of Finite Elements in C++