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LUSOL

LUSOL maintains LU factors of a square or rectangular sparse matrix.

This repository provides LUSOL source code and a Matlab interface.

The website for LUSOL is: http://www.stanford.edu/group/SOL/software/lusol.html

The code is distributed under the terms of the Common Public License.

Contents

  • gen/: code generation scripts and specification files
  • matlab/: Matlab interface code
  • src/: LUSOL Fortran code
  • LICENSE: Common Public License
  • makefile: GNU Make file to build interface

Download and install

Pre-built downloads are available on the Github release page.

Installation simply requires adding the matlab subdirectory to your Matlab path. This may be done with Matlab's addpath function.

If the interface has not been built, please follow the directions below.

Basic usage

In Matlab:

% get L and U factors
[L U P Q] = lusol(A);

See >>> help lusol.

Advanced usage

In Matlab:

% create lusol object
mylu = lusol_obj(A);

% solve with lusol object (ie x = A\b)
x = mylu.solveA(b);

% update factorization to replace a column
mylu.repcol(v,1);

% solve again with updated factorization
x1 = mylu.solveA(b);

See >>> help lusol_obj.

Build

Environment

The build environments as of 2014-05-18 are:

  • Fedora 21 & Matlab 2013b
  • Mac OS X 10.9 & Matlab 2014a

Building the LUSOL interface in other environments may require modification of makefile and matlab/lusol_build.m.

Requirements

Linux:

  • cmake
  • make
  • gcc
  • gfortran
  • Matlab

Mac:

  • Xcode for clang and make
  • cmake
  • gfortran-4.3 (possibly via Homebrew)
  • Matlab

Notes:

  • The matlab binary must be on the system PATH.
  • python3 is required to generate the interface code. However, the interface code is pre-generated and included in the repository.
  • It is necessary to launch Xcode and accept the license agreement before building the interface.
  • The smaller Xcode Command Line Tools package does not appear to work with Matlab 2014a. The full Xcode install is required.

Setup mex

Matlab's mex compiler driver must be configured to use the appropriate C compiler. This can be achieved by executing mex -setup from the Matlab prompt or operating system terminal. On Linux the selected compiler must be the correct version of gcc. On Mac OS X 10.9 the selected compiler must be clang. It is a good idea to match the compiler suggested on the Mathworks supported compilers page.

Install gfortran-4.3 on Mac OS X

  1. Install Homebrew
  2. $ brew tap homebrew/versions
  3. $ brew install gcc43 --enable-fortran

Steps

From the base directory:

$ make

Mac OS X output from 2014-05-18:

$ make
clang  -fPIC -c src/clusol.c -o src/clusol.o
gfortran-4.3 -fPIC -Jsrc -O3 -c src/lusol_precision.f90 -o src/lusol_precision.o
gfortran-4.3 -fPIC -Jsrc -O3 -c src/lusol.f90 -o src/lusol.o
gfortran-4.3 -fPIC -fdefault-integer-8 -O3 -c src/lusol_util.f -o src/lusol_util.o
gfortran-4.3 -fPIC -fdefault-integer-8 -O3 -c src/lusol6b.f -o src/lusol6b.o
gfortran-4.3 -fPIC -fdefault-integer-8 -O3 -c src/lusol7b.f -o src/lusol7b.o
gfortran-4.3 -fPIC -fdefault-integer-8 -O3 -c src/lusol8b.f -o src/lusol8b.o
clang src/clusol.o src/lusol.o src/lusol_precision.o src/lusol_util.o src/lusol6b.o src/lusol7b.o src/lusol8b.o -o src/libclusol.dylib -dynamiclib -L/Applications/MATLAB_R2014a.app/bin/maci64 -lmwblas -L/Applications/MATLAB_R2014a.app/sys/os/maci64 -lgfortran
mkdir -p lib
cp src/libclusol.dylib lib/libclusol.dylib
mkdir -p include
cp src/clusol.h include/clusol.h
cp src/libclusol.dylib src/clusol.h ./matlab/
matlab -nojvm -nodisplay -r "cd matlab; lusol_build; exit"

                            < M A T L A B (R) >
                  Copyright 1984-2014 The MathWorks, Inc.
                     R2014a (8.3.0.532) 64-bit (maci64)
                             February 11, 2014


To get started, type one of these: helpwin, helpdesk, or demo.
For product information, visit www.mathworks.com.

Note: As of 2014-10-29, the lusol_build script emits a warning message. This may have something to do with updated header files in the Xcode package. The tests still pass.

Test

From the base directory:

$ make matlab_test

Mac OS X output from 2014-05-18:

$ make matlab_test
matlab -nojvm -nodisplay -r "cd matlab; lusol_test; exit"

                            < M A T L A B (R) >
                  Copyright 1984-2014 The MathWorks, Inc.
                     R2014a (8.3.0.532) 64-bit (maci64)
                             February 11, 2014


To get started, type one of these: helpwin, helpdesk, or demo.
For product information, visit www.mathworks.com.

test_addcol_lhr02: passed
test_addrow_lhr02: passed
test_delcol_lhr02: passed
test_delrow_lhr02: passed
test_factorize_lhr02: passed
test_mulA_lhr02: passed
test_mulAt_lhr02: passed
test_r1mod_lhr02: passed
test_repcol_lhr02: passed
test_reprow_lhr02: passed
test_solveA_lhr02: passed
test_solveAt_lhr02: passed

Notes

The basic requirements to build LUSOL are GNU make, gfortran, a C compiler, and Matlab. The build works with gcc on Linux and clang on Mac OS X. It may be necessary to modify the compiler variables in the makefile (CC, F90C, and F77C) depending on the operating system and environment.

The matlab executable must be on the system path. On Mac OS X with Matlab R2014a this is achieved with:

$ export PATH=/Applications/MATLAB_R2014a.app/bin:$PATH

The makefile may have to be modified on Mac OS X depending on versions of Matlab and gfortran. The LDFLAGS need to point to the proper directories for Matlab blas and gfortran shared libraries.

Authors