Release 2.3.42 of PHCpack

Below are the sources and binary versions of the program. PHCpack was originally designed to implement the development of polynomial homotopies exploiting structure in order to better approximate all isolated solutions. Recently the package has been updated with extra tools to handle positive dimensional solution components. See for a list of main features and a history of releases.

To help you using the program, there is a short tutorial available.

postscript version of tutorial;

pdf version of tutorial.
A longer tutorial was presented at ISSAC'05.

Release 2.3.41 of PHCpack contains the following files:

(tarred and gzipped 2.0Mb) Ada 95 sources (updated 6 June 2008)
Executable versions of the program, most recent is V2.3.42 (tarred and gzipped):
- (3.2 Mb) on Linux PC (updated 6 June 2008)
- (10 Mb) on 64-bit Linux compiled by Michael Abshoff for possible use in sage
- (4.1 Mb) on Mac OS X PowerPC (updated 6 June 2008)
- (3.1 Mb) on Mac OS X Intel (updated 4 Jan 2008)
- (3.3 Mb) on SUN SunOS 5.8 (updated 23 April 2008)
- (5.1 Mb) on AIX 5.3 (updated 15 August 2007, v2.3.32)
Do "gunzip" and "tar xpf" on the downloaded file.
Executable version for Windows NT and 2000:
- (10.0 Mb, uncompressed) on WindowsNT,2000,XP (updated 23 April 2008)
(tarred and gzipped 5.5 Mb) Database with demo systems

Note: the sources of PHCv2 contain a C interface written by Nobuki Takayama (taka@math.kobe-u.ac.jp).

The C interface with PHC only requires an executable version of PHC.

PHC belongs to the collection of software packages accessible from
OpenXM: Open message eXchange protocol for Mathematics
by M. Maekawa, M. Noro, K. Ohara, Y. Okutani, N. Takayama, and Y. Tamura.

Note: a very simple Maple interface is available:

Maple procedure run_phc_maple7 to call the binary version of phc from within Maple7
an example worksheet use_phc_maple7.mws to use run_phc_maple7

This very simple interface was developed on the occasion of the Dagstuhl seminar no. 01421 on "Integration of Algebra and Geometry Software Systems", 14-19 October 2001, Schloss Dagstuhl, Wadern, Germany.
See the paper by Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler: Numerical Irreducible Decomposition using PHCpack. The Abstract and gzipped postscript file. In Algebra, Geometry and Software Systems, edited by M. Joswig and N. Takayama, pages 109-130, Springer-Verlag 2003.

A more extensive interface with Maple is PHCmaple, developed in collaboration with Anton Leykin: PHCmaple: A Maple Interface to the Numerical Homotopy Algorithms in PHCpack.

Another interface to PHCpack is described by Yun Guan and Jan Verschelde: PHClab: A MATLAB/Octave interface to PHCpack. Download version 1.01 of PHClab here. Take a look at the Poster.

Thanks to the efforts of Marshall Hampton, Kathy Piret, and William Stein, PHCpack is one of the experimental packages in SAGE .

About the gnu-ada compiler GNAT

GNAT is a complete Ada95 compilation system, maintained and distributed freely, with sources, under the GNU Public Licence by Ada Core Technologies . ACT and ACT-Europe offer commercial support for industrial and academic users of GNAT.
To download free versions of the gnu-ada compiler:

Here is a cool site on Ada , and click here for The Big Online Book of Linux Ada Programming.

This material is based upon work supported by the National Science Foundation under Grants No. 9804846, 0105739, 0134611, 0410036, and 0713018. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.