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NAME
petsc4py - PETSc for Python
Author Lisandro Dalcin
Contact
dalcinl@gmail.com
Web Site
https://bitbucket.org/petsc/petsc4py
Date May 01, 2016
Abstract
This document describes petsc4py, a Python port to the PETSc libraries.
PETSc (the Portable, Extensible Toolkit for Scientific Computation) is a suite of data structures and
routines for the scalable (parallel) solution of scientific applications modeled by partial differential
equations. It employs the MPI standard for all message-passing communication.
This package provides an important subset of PETSc functionalities and uses NumPy to efficiently manage
input and output of array data.
A good friend of petsc4py is:
• mpi4py: Python bindings for MPI, the Message Passing Interface.
Other projects depends on petsc4py:
• slepc4py: Python bindings for SLEPc, the Scalable Library for Eigenvalue Problem Computations.
CONTENTS
Overview
PETSc is a suite of data structures and routines for the scalable (parallel) solution of scientific
applications modeled by partial differential equations. It employs the MPI standard for all
message-passing communication.
PETSc is intended for use in large-scale application projects [petsc-efficient], and several ongoing
computational science projects are built around the PETSc libraries. With strict attention to component
interoperability, PETSc facilitates the integration of independently developed application modules, which
often most naturally employ different coding styles and data structures.
PETSc is easy to use for beginners [petsc-user-ref]. Moreover, its careful design allows advanced users
to have detailed control over the solution process. PETSc includes an expanding suite of parallel linear
and nonlinear equation solvers that are easily used in application codes written in C, C++, and Fortran.
PETSc provides many of the mechanisms needed within parallel application codes, such as simple parallel
matrix and vector assembly routines that allow the overlap of communication and computation.
[petsc-user-ref]
S. Balay, S. Abhyankar, M.F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, V. Eijkhout, W.D.
Gropp, D. Karpeyev, D. Kaushik, M.G. Knepley, L. Curfman McInnes, K. Rupp, B.F. Smith, S. Zampini,
H. Zhang, and H. Zhang, PETSc Users Manual, ANL-95/11 - Revision 3.7, 2016.
http://www.mcs.anl.gov/petsc/petsc-current/docs/manual.pdf
[petsc-efficient]
Satish Balay, Victor Eijkhout, William D. Gropp, Lois Curfman McInnes and Barry F. Smith. Efficient
Management of Parallelism in Object Oriented Numerical Software Libraries. Modern Software Tools in
Scientific Computing. E. Arge, A. M. Bruaset and H. P. Langtangen, editors. 163--202. Birkhauser
Press. 1997.
Components
PETSc is designed with an object-oriented style. Almost all user-visible types are abstract interfaces
with implementations that may be chosen at runtime. Those objects are managed through handles to opaque
data structures which are created, accessed and destroyed by calling appropriate library routines.
PETSc consists of a variety of components. Each component manipulates a particular family of objects and
the operations one would like to perform on these objects. These components provide the functionality
required for many parallel solutions of PDEs.
Vec Provides the vector operations required for setting up and solving large-scale linear and
nonlinear problems. Includes easy-to-use parallel scatter and gather operations, as well as
special-purpose code for handling ghost points for regular data structures.
Mat A large suite of data structures and code for the manipulation of parallel sparse matrices.
Includes four different parallel matrix data structures, each appropriate for a different class of
problems.
PC A collection of sequential and parallel preconditioners, including (sequential) ILU(k), LU, and
(both sequential and parallel) block Jacobi, overlapping additive Schwarz methods and (through
BlockSolve95) ILU(0) and ICC(0).
KSP Parallel implementations of many popular Krylov subspace iterative methods, including GMRES, CG,
CGS, Bi-CG-Stab, two variants of TFQMR, CR, and LSQR. All are coded so that they are immediately
usable with any preconditioners and any matrix data structures, including matrix-free methods.
SNES Data-structure-neutral implementations of Newton-like methods for nonlinear systems. Includes both
line search and trust region techniques with a single interface. Employs by default the above data
structures and linear solvers. Users can set custom monitoring routines, convergence criteria,
etc.
TS Code for the time evolution of solutions of PDEs. In addition, provides pseudo-transient
continuation techniques for computing steady-state solutions.
Installation
Using pip or easy_install
You can use pip to install petsc4py and its dependencies (mpi4py is optional but highly recommended):
$ pip install [--user] numpy mpi4py
$ pip install [--user] petsc petsc4py
Alternatively, you can use easy_install (deprecated):
$ easy_install petsc4py
If you already have a working PETSc installation, set environment variables PETSC_DIR and PETSC_ARCH to
appropriate values and next use pip:
$ export PETSC_DIR=/path/to/petsc
$ export PETSC_ARCH=arch-linux2-c-opt
$ pip install petsc4py
Using distutils
Requirements
You need to have the following software properly installed in order to build PETSc for Python:
• Any MPI implementation [1] (e.g., MPICH or Open MPI), built with shared libraries.
• A matching version of PETSc built with shared libraries.
• NumPy package.
[1] Unless you have appropiatelly configured and built PETSc without MPI (configure option
--with-mpi=0).
[2] You may need to use a parallelized version of the Python interpreter with some MPI-1 implementations
(e.g. MPICH1).
Downloading
The PETSc for Python package is available for download at the project website generously hosted by
Bitbucket. You can use curl or wget to get a release tarball.
• Using curl:
$ curl -O https://bitbucket.org/petsc/petsc4py/petsc4py-X.Y.tar.gz
• Using wget:
$ wget https://bitbucket.org/petsc/petsc4py/petsc4py-X.Y.tar.gz
Building
After unpacking the release tarball:
$ tar -zxf petsc4py-X.Y.tar.gz
$ cd petsc4py-X.Y
the distribution is ready for building.
NOTE:
Mac OS X users employing a Python distribution built with universal binaries may need to set the
environment variables MACOSX_DEPLOYMENT_TARGET, SDKROOT, and ARCHFLAGS to appropriate values. As an
example, assume your Mac is running Snow Leopard on a 64-bit Intel processor and you want to override
the hard-wired cross-development SDK in Python configuration, your environment should be modified like
this:
$ export MACOSX_DEPLOYMENT_TARGET=10.6
$ export SDKROOT=/
$ export ARCHFLAGS='-arch x86_64'
Some environment configuration is needed to inform the location of PETSc. You can set (using setenv,
export or what applies to you shell or system) the environment variables PETSC_DIR, and PETSC_ARCH
indicating where you have built/installed PETSc:
$ export PETSC_DIR=/usr/local/petsc
$ export PETSC_ARCH=arch-linux2-c-opt
Alternatively, you can edit the file setup.cfg and provide the required information below the [config]
section:
[config]
petsc_dir = /usr/local/petsc
petsc_arch = arch-linux2-c-opt
...
Finally, you can build the distribution by typing:
$ python setup.py build
Installing
After building, the distribution is ready for installation.
If you have root privileges (either by log-in as the root user of by using sudo) and you want to install
PETSc for Python in your system for all users, just do:
$ python setup.py install
The previous steps will install the petsc4py package at standard location
prefix/lib/pythonX.X/site-packages.
If you do not have root privileges or you want to install PETSc for Python for your private use, just do:
$ python setup.py install --user
Tutorial
XXX To be written ... Any contribution welcome!
Citations
If PETSc for Python been significant to a project that leads to an academic publication, please
acknowledge that fact by citing the project.
• L. Dalcin, P. Kler, R. Paz, and A. Cosimo, Parallel Distributed Computing using Python, Advances in
Water Resources, 34(9):1124-1139, 2011. http://dx.doi.org/10.1016/j.advwatres.2011.04.013
• S. Balay, S. Abhyankar, M.F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, V. Eijkhout, W.D.
Gropp, D. Karpeyev, D. Kaushik, M.G. Knepley, L. Curfman McInnes, K. Rupp, B.F. Smith, S. Zampini, H.
Zhang, and H. Zhang, PETSc Users Manual, ANL-95/11 - Revision 3.7, 2016.
http://www.mcs.anl.gov/petsc/petsc-current/docs/manual.pdf
AUTHOR
Lisandro Dalcin
COPYRIGHT
2016, Lisandro Dalcin
3.7 May 01, 2016 PETSC4PY(1)