Multiple precision arithmetic BLAS (MBLAS) and LAPACK (MLAPACK)

2009/1/8: This project has been moved to sourceforge.net.

News

2008/8/22: mpack-0.0.6.tar.gz. Build fix release.
2008/8/14: mpack-0.0.5.tar.gz. Eighteen LAPACK routines (Rlamch, Rlae2, Rlaev2, Rlassq, Rlanst, Rlansy, Rlapy2, Rlarf, Rlarfg, Rpotf2, Rlarfb, Rlaset, Rlarft, Rlartg, Rlascl, Rlasrt, Rlasr, Rlatrd) with check programs and complete "blas.h" and "lapack.h" (prototypes for the BLAS and LAPACK) have been made.
2008/7/23: mpack-0.0.4.tar.gz. All test cases are imported.
2008/7/18: mpack-0.0.3.tar.gz. Fix copyright issues, make check partially works, except for MacOSX.
2008/7/17: mpack-0.0.2.tar.gz. Installation instructions on Fedora9 and Ubuntu 8.04 are now available. Build fix with gcc-4.3.
2008/7/15: mpack-0.0.1.tar.gz. Now configurable and installable :)
2008/7/11: Change GPL to LGPLv3 and upload mpack-0.0.0.tar.gz.
2008/6/27: Add mBSD header of original authors.
2008/6/26: Tar ball has been provided. All sources for MBLAS have been uploaded.
2008/6/24: This page has been created.

Current status (2008/11/27)

Total 75 BLAS routines, all are tested.
Total 679 LAPACK routines, 353 are implemented, 17 are tested, and 8 not to be implemented. (rest are 318) Almost all auxiliary routines are implemented

Introduction

Now multiple arithmetic calculation is very important in scientific computation. However, there were no library for linear algebra calculation in multiple precision arithmetic. This is the reason that I developed the Multiple precision arithmetic BLAS (MBLAS) and LAPACK (MLAPACK).
The BLAS and LAPACK are widely used FORTRAN77 routines and many optimized implementations are available, like ATLAS and GotoBLAS. Therefore, API of MBLAS and MLAPACK is very similar to BLAS and LAPACK. MLAPACK is a subset of LAPACK, not all routines will be provided. Historically, I developed SDPA-GMP, which is a multiple precision arithmetic version of SemiDefinite programming solver using the GMP library. I choose the GMP because this library is the fastest.

Software

mpack-0.0.6.tar.gz (2008/8/22)
MD5 (mpack-0.0.6.tar.gz) = a3c1a766d36b427ca66aba7357225974
mpack-0.0.5.tar.gz (2008/8/14)
MD5 (mpack-0.0.5.tar.gz) = 4098c207b7bde86884e6a33902bffd93
mpack-0.0.4.tar.gz (2008/7/23)
MD5 (mpack-0.0.4.tar.gz) = 4963580baf6433be4797f98a7e3e6472
mpack-0.0.3.tar.gz (2008/7/18)
MD5 (mpack-0.0.3.tar.gz) = 5090bb61074d1106ac4523a75d79b953
mpack-0.0.2.tar.gz (2008/7/17)
MD5 (mpack-0.0.2.tar.gz) = a0da3aacb8968bba61e196a2f15b5519
mpack-0.0.1.tar.gz (2008/7/15)
MD5 (mpack-0.0.1.tar.gz) = 9f03155a4e17c07ae9bb509fe912a491
mpack-0.0.0.tar.gz (2008/7/11)
MD5 (mpack-0.0.0.tar.gz) = 82e44bafb9a426c39543d66bb15c62ea
mpack-0.00.20080627.tar.gz
MD5 (mpack-0.00.20080627.tar.gz) = 2a86653d3b046e03f0cf7f54995629d9
mpack-0.00.20080626.tar.gz
MD5 (mpack-0.00.20080626.tar.gz) = c1e5e553a10c36b9928b1fc085fc754a

Prerequisites

Fedora, Debian, FreeBSD and MacOSX
Xcode (MacOSX only)
GNU C++
the GNU Multiple Precision Arithmetic Library
GNU FORTRAN compiler (optional)
BLAS (optional)
LAPACK(optional)

Installation

Fedora 9

$ bash
$ su
Password:
# yum install gcc gcc-c++ gcc-gfortran
# yum install lapack lapack-devel blas blas-devel
# yum install gmp gmp-devel
$ tar xvfz mpack-0.0.6.tar.gz
$ cd mpack-0.0.6
$ ./configure
$ make install

Ubuntu 8.04
Apply following patch to /etc/apt/sources.list (remove two `#' in /etc/apt/sources.list)

diff -u /etc/apt/sources.list.org /etc/apt/sources.list
--- /etc/apt/sources.list  2008-07-17 11:51:10.000000000 +0900
+++ /etc/apt/sources.list  2008-07-17 11:53:34.000000000 +0900
@@ -37,8 +37,8 @@
 ## newer versions of some applications which may provide useful features.
 ## Also, please note that software in backports WILL NOT receive any review
 ## or updates from the Ubuntu security team.
-# deb http://ubuntutym.u-toyama.ac.jp/ubuntu/ hardy-backports main restricted universe multiverse
-# deb-src http://ubuntutym.u-toyama.ac.jp/ubuntu/ hardy-backports main restricted universe multiverse
+deb http://ubuntutym.u-toyama.ac.jp/ubuntu/ hardy-backports main restricted universe multiverse
+deb-src http://ubuntutym.u-toyama.ac.jp/ubuntu/ hardy-backports main restricted universe multiverse
 
 ## Uncomment the following two lines to add software from Canonical's
 ## 'partner' repository. This software is not part of Ubuntu, but is

Then,

$ bash
$ sudo apt-get update
$ sudo apt-get install lapack3 lapack3-dev
$ sudo apt-get install libgmp3 libgmp3-dev libgmpxx4ldbl
$ tar xvfz mpack-0.0.6.tar.gz
$ cd mpack-0.0.6
$ ./configure
$ make install

MacOSX
On MacOSX with fink

$ bash
$ sudo fink install gmp
$ tar xvfz mpack-0.0.6.tar.gz
$ cd mpack-0.0.6
$ CXXFLAGS="-I/sw/include" ; export CXXFLAGS
$ CPPFLAGS="-I/sw/include" ; export CPPFLAGS
$ CFLAGS="-I/sw/include" ; export CFLAGS
$ LDFLAGS="-L/sw/lib"; export LDFLAGS
$ ./configure
$ make install

or, without fink:
First download GMP from http://gmplib.org/ and install GMP by: (You may change "/Users/maho/gmp" to appropriate one)

$ bash
$ tar xvfz gmp-4.2.2.tar.gz
$ cd gmp-4.2.2
$ ./configure --enable-cxx --prefix=/Users/maho/gmp
$ make install
$ make check
$ cd
$ tar xvfz mpack-0.0.6.tar.gz
$ cd mpack-0.0.6
$ CXXFLAGS="-I/Users/maho/gmp/include" ; export CXXFLAGS
$ CPPFLAGS="-I/Users/maho/gmp/include" ; export CPPFLAGS
$ CFLAGS="-I/Users/maho/gmp/include" ; export CFLAGS
$ LDFLAGS="-L/Users/maho/gmp/lib"; export LDFLAGS
$ ./configure
$ make install

On FreeBSD 7 and later

$ sh
$ F77="gfortran42"; export F77
$ CXXFLAGS="-I/usr/local/include" ; export CXXFLAGS
$ CPPFLAGS="-I/usr/local/include" ; export CPPFLAGS  
$ CFLAGS="-I/usr/local/include" ; export CFLAGS  
$ LDFLAGS="-L/usr/local/lib"; export LDFLAGS
$ tar xvfz mpack-0.0.6.tar.gz
$ cd mpack-0.0.6
$ ./configure
$ make install

Check

HIGHLY RECOMMENDED! and you must have BLAS/LAPACK if you are NOT using MacOSX.

$ make check

License

LGPLv3 with original modified BSD license of original authors.

Author and contact

Nakata Maho, E-mail addresses are: chat95@mac.com (.Mac) and/or maho@riken.jp (RIKEN) .

Nakata Maho