libraries/lapack-atlas: Added (LAPACK customized for build against ATLAS)

Signed-off-by: Robby Workman <rworkman@slackbuilds.org>

6 files changed, 451 insertions, 0 deletions

diff --git a/libraries/lapack-atlas/README b/libraries/lapack-atlas/README
new file mode 100644
index 0000000000..876f7570b3
--- /dev/null
+++ b/libraries/lapack-atlas/README
@@ -0,0 +1,14 @@
+LAPACK provides routines for solving systems of simultaneous linear
+equations, least-squares solutions of linear systems of equations,
+eigenvalue problems, and singular value problems.
+
+This script builds LAPACK against ATLAS. As such it requires ATLAS as installed
+by the appropriate SlackBuild. This build conflicts with the lapack.SlackBuild
+but you may try to have both installed if you definitely want, see below.
+
+Do read over README.SLACKWARE *before* building this.
+
+NOTE: The download link provides a package with lapack-3.3.1 patched against
+some of the presently known bugs of the 3.3.1 release. Please consult the
+LAPACK-3.3.1 errata file (http://www.netlib.org/lapack/Errata/index2.html) for
+more details about the corrected bugs.
diff --git a/libraries/lapack-atlas/README.SLACKWARE b/libraries/lapack-atlas/README.SLACKWARE
new file mode 100644
index 0000000000..fccc6b12b6
--- /dev/null
+++ b/libraries/lapack-atlas/README.SLACKWARE
@@ -0,0 +1,49 @@
+The following notes apply just for LAPACK built against ATLAS.
+
+IMPORTANT NOTES:
+
+
+1) If you update ATLAS, you MUST also rebuild and reinstall LAPACK, even if
+   there is no update available for LAPACK! Otherwise you end up with a
+   broken/incomplete LAPACK library!
+
+2) This SlackBuild conflicts with the lapack.SlackBuild which is meant mainly
+   for compilation against the reference BLAS. You may install LAPACK by
+   this SlackBuild in parallel with the LAPACK built against the reference BLAS
+   if you use the SYS_DESTDIR and DEFAULT_DOCS variables (see below), but then
+   you are on your own, especially when compiling other software against LAPACK
+   and BLAS/ATLAS.
+
+3) There are a few extra variables which you may want or need to give
+   appropriate values when calling the lapack-atlas.SlackBuild: SYS_DESTDIR,
+   DEFAULT_DOCS, USE_ATLAS_PT_LIBS and TEST_LAPACK.
+
+   SYS_DESTDIR is set by default to "/usr" and is the system destination
+   directory. When installing the package produced by this SlackBuild,
+   LAPACK's files will be written to $SYS_DESTDIR/lib (or lib64).
+   Documentation files are written to /usr/doc/lapack-atlas-$VERSION if not
+   otherwise stated (see below).
+   You may want to change the value of SYS_DESTDIR to avoid conflicts (see
+   the notes above). IMPORTANT: SYS_DESTDIR has to have an absolute
+   path as value.
+
+   DEFAULT_DOCS has the default value "yes", which means that docs go
+   to /usr/doc/lapack-atlas-$VERSION, but you may want to let the docs to
+   go to $SYS_DESTDIR/doc/lapack-atlas-$VERSION. For this, just set this
+   variable to something like "no".
+
+   USE_ATLAS_PT_LIBS is set by default to "yes" which means that this script
+   will try to build LAPACK against the threaded ATLAS libs. On a single
+   processor machine these are missing and you will get a WARNING which you
+   can ignore, since ATLAS will not create these libraries on such a machine.
+   On a multi processor machine the WARNING should not be there and you need to
+   set this variable to "no" if you want to force LAPACK to build against the
+   single threaded ATLAS libraries. At this point in time this is discouraged
+   and you are on your own if you do it, especially when compiling other
+   software which depends on LAPACK and ATLAS.
+
+   TEST_LAPACK is set by default to "no" which means that this script will not
+   try to run the LAPACK test suite. Set it to "yes" if you want the opposite.
+
+   All these settings may be done the usual way on the command line when
+   calling this SlackBuild, you do not have to edit the script.
diff --git a/libraries/lapack-atlas/lapack-atlas.SlackBuild b/libraries/lapack-atlas/lapack-atlas.SlackBuild
new file mode 100644
index 0000000000..4659a7f7e6
--- /dev/null
+++ b/libraries/lapack-atlas/lapack-atlas.SlackBuild
@@ -0,0 +1,289 @@
+#!/bin/sh
+
+# Slackware script to build the LAPACK libraries against ATLAS.
+
+# Written by Serban Udrea <s.udrea@gsi.de>
+# Includes the code to make dynamic libs from the lapack.SlackBuild by
+# Eugene Suter <easuter@gmail.com>
+
+# Licence: LICENCE file in the tarball
+
+PRGNAM=lapack-atlas
+VERSION=${VERSION:-3.3.1}
+BUILD=${BUILD:-1}
+TAG=${TAG:-_SBo}
+
+SRCNAM=lapack # The source is still that of LAPACK
+
+if [ -z "$ARCH" ]; then
+  case "$( uname -m )" in
+    i?86) ARCH=i486 ;;
+    arm*) ARCH=arm ;;
+       *) ARCH=$( uname -m ) ;;
+  esac
+fi
+
+CWD=$(pwd)
+TMP=${TMP:-/tmp/SBo}
+PKG=$TMP/package-${PRGNAM}
+OUTPUT=${OUTPUT:-/tmp}
+
+if [ "$ARCH" = "i486" ]; then
+  SLKCFLAGS="-O2 -march=i486 -mtune=i686"
+  LIBDIRSUFFIX=""
+elif [ "$ARCH" = "i686" ]; then
+  SLKCFLAGS="-O2 -march=i686 -mtune=i686"
+  LIBDIRSUFFIX=""
+elif [ "$ARCH" = "x86_64" ]; then
+  SLKCFLAGS="-O2 -fPIC"
+  NOOPTFLAGS="-fPIC"
+  LIBDIRSUFFIX="64"
+fi
+
+set -e # Exit on most errors
+
+# This is the system destination directory. When installing the
+# package produced by this script, LAPACK's files will be written to
+# $SYS_DESTDIR/lib or $SYS_DESTDIR/lib64 on appropriate platforms, etc.
+# Nevertheless, by default the documentation files go to
+# /usr/doc/$PRGNAM-$VERSION. You may change this through the variable
+# DEFAULT_DOCS, see below.
+SYS_DESTDIR=${SYS_DESTDIR:-/usr}
+
+# Check if SYS_DESTDIR is an absolute path. If not, exit with error.
+# NOTE: The $ is used because echo adds a \n at the end of the string.
+echo "$SYS_DESTDIR" | grep -vE '/\.\./|/\.\.$' | grep -qE '^/' || \
+{ echo "ERROR: The system destination directory has no absolute path!" \
+&& echo "       The value of SYS_DESTDIR is $SYS_DESTDIR" \
+&& echo "       Please set it properly! " \
+&& exit 1; }
+
+# You may want to have the documentation files installed under
+# $SYS_DESTDIR/doc/$PRGNAM-$VERSION not /usr/doc/$PRGNAM-$VERSION.
+# To achieve this just set the following variable to something like
+# "no".
+DEFAULT_DOCS=${DEFAULT_DOCS:-yes}
+DEFAULT_DOCS=$(echo "$DEFAULT_DOCS"|cut -b 1|tr a-z A-Z) # Make Y or N out of yes, Yes, No, no, etc.
+if [ "$DEFAULT_DOCS" = "Y" ]; then
+  DOC_DIR="$PKG/usr/doc/${PRGNAM}-$VERSION"
+else
+  DOC_DIR="$PKG$SYS_DESTDIR/doc/${PRGNAM}-$VERSION"
+fi
+
+rm -rf $PKG
+mkdir -p $TMP $PKG $OUTPUT
+cd $TMP
+rm -rf $SRCNAM-$VERSION
+tar xvf $CWD/$SRCNAM-$VERSION.tgz
+cd $SRCNAM-$VERSION
+
+chown -R root:root .
+find . \
+ \( -perm 777 -o -perm 775 -o -perm 711 -o -perm 555 -o -perm 511 \) \
+ -exec chmod 755 {} \; -o \
+ \( -perm 666 -o -perm 664 -o -perm 600 -o -perm 444 -o -perm 440 -o -perm 400 \) \
+ -exec chmod 644 {} \;
+
+# Within Makefile it is asumed that lapack_testing.py is executable. 
+# This is not the case, thus if TEST_LAPACK is enabled, make fails.
+chmod 755 ./lapack_testing.py
+
+# If you say "no" here, the script will NOT try to link LAPACK against 
+# the multi-threaded ATLAS libraries.  If you leave it to "yes" and the 
+# multi-threaded ATLAS libraries are not available, the script will default 
+# to linking against the single threaded ones and raise a warning.
+USE_ATLAS_PT_LIBS="${USE_ATLAS_PT_LIBS:-yes}"
+USE_ATLAS_PT_LIBS=$(echo "$USE_ATLAS_PT_LIBS"|cut -b 1|tr a-z A-Z) # Make Y or N out of yes, Yes, No, no, etc.
+
+# Change the following to yes if you would like to run the tests for LAPACK.
+TEST_LAPACK="${TEST_LAPACK:-no}"
+# Make Y or N out of yes, Yes, No, no, etc.
+TEST_LAPACK=$(echo "$TEST_LAPACK"|cut -b 1|tr a-z A-Z)
+
+# Search for the latest installed atlas package 
+# (not necessarily the one with the latest version).
+# For this to work the system clock should also work properly.
+# NOTE: The echo statement below is for getting around "set -e" this time.
+ATLAS_PKG="$(ls -1 -dc /var/log/packages/atlas* 2>/dev/null | \
+          head -n 1 || echo -n)"
+
+# Check if an atlas package was found. Exit if not!
+[ ! "$ATLAS_PKG" ] && \
+echo "ERROR: Couldn't find the ATLAS package." && exit 1
+
+# Pick up the SETTINGS file containing the appropriate flags, use again the 
+# echo trick against "set -e".  You may also provide your own path to a file 
+# containing apropriate settings, see the README for details
+ATLAS_SETTINGS_FILE=${ATLAS_SETTINGS_FILE:-"/$(grep SETTINGS "$ATLAS_PKG" || echo -n)"}
+
+[ "${ATLAS_SETTINGS_FILE}1" = "/1" ] && \
+echo "ERROR: No location available for the file with ATLAS settings." && exit 1
+
+# Check that we deal with a regular file which is readable
+[ -f "$ATLAS_SETTINGS_FILE" -a -r "$ATLAS_SETTINGS_FILE" ] || \
+{ echo "ERROR: $ATLAS_SETTINGS_FILE is not a regular file or is not readable by us." && exit 1; }
+
+# Source the atlas settings.
+. "$ATLAS_SETTINGS_FILE"
+
+# Check for the presence of variables provided by the ATLAS_SETTINGS_FILE
+{ [ "$ATLAS_COMPILER" ] && \
+  [ "$ATLAS_F77FLAGS" ] && \
+  [ "$ATLAS_NOOPT" ]; } ||
+{ echo "ERROR: Improper ATLAS settings; empty or undefined variables." && exit 1; }
+
+# This is the timer to be used for LAPACK. If you stay with gfortran,
+# presently the default compiler on Slackware, you can leave the value as is.
+# Otherwise, please read LAPACK's make.inc for more informations.
+LAPACK_TIMER="${LAPACK_TIMER:-INT_ETIME}"
+
+# Looking for the libraries provided by ATLAS. If one asks for threaded 
+# libraries and these are available we will try to link against them.
+if [ "$USE_ATLAS_PT_LIBS" = "Y" ]; then
+  # Set proper library names for the threaded ATLAS libs.
+  ATLAS_BLASLIB="libptf77blas.a"
+  ATLAS_CBLASLIB="libptcblas.a"
+  # Find out the full paths to the ATLAS libraries
+  ATLAS_BLASLIB_P="/$(grep "$ATLAS_BLASLIB" "$ATLAS_PKG" || echo -n)"
+  # We need this to finally link against the mixed LAPACK library, resulting 
+  # from the full LAPACK and the optimized LAPACK routines provided by ATLAS.
+  ATLAS_CBLASLIB_P="/$(grep "$ATLAS_CBLASLIB" "$ATLAS_PKG" || echo -n)" 
+  if [ "${ATLAS_BLASLIB_P}1" = "/1" -o "${ATLAS_CBLASLIB_P}1" = "/1" ]; then
+    # Oops! The threaded libraries are not available!
+    echo ""
+    echo "WARNING: No threaded ATLAS libraries available!"
+    echo "WARNING: Linking against non-threaded libraries!"
+    echo ""
+    ATLAS_BLASLIB="libf77blas.a"
+    ATLAS_CBLASLIB="libcblas.a"
+    USE_ATLAS_PT_LIBS="N"
+  fi
+else
+  # Set proper library names for the unthreaded ATLAS libs.
+  ATLAS_BLASLIB="libf77blas.a"
+  ATLAS_CBLASLIB="libcblas.a"
+fi
+
+# Find out the full paths to the ATLAS libraries
+ATLAS_BLASLIB="/$(grep "$ATLAS_BLASLIB" "$ATLAS_PKG" || echo -n)"
+ATLAS_CBLASLIB="/$(grep "$ATLAS_CBLASLIB" "$ATLAS_PKG" || echo -n)"
+ATLAS_EXTRA_LIB="/$(grep libatlas.a "$ATLAS_PKG" || echo -n)"
+ATLAS_LAPACK="/$(grep liblapack.a "$ATLAS_PKG" || echo -n)"
+
+# Check that we got what we expected
+{ [ "${ATLAS_BLASLIB}1" = "/1" ] || \
+  [ "${ATLAS_CBLASLIB}1" = "/1" ] || \
+  [ "${ATLAS_EXTRA_LIB}1" = "/1" ] || \
+  [ "${ATLAS_LAPACK}1" = "/1" ]; } && \
+{ echo "ERROR: ATLAS libraries missing from the Slackware ATLAS package log." && exit 1; }
+
+# Check that the library files are there.
+# NOTE: After the installation of this package, the incomplete LAPACK library 
+#       installed by ATLAS gets substituted by the complete one provided by us
+[ -f "$ATLAS_BLASLIB" -a -r "$ATLAS_BLASLIB" ] || \
+{ echo "ERROR: $ATLAS_BLASLIB is not a regular file or is not readable by us." && exit 1; }
+
+[ -f "$ATLAS_CBLASLIB" -a -r "$ATLAS_CBLASLIB" ] || \
+{ echo "ERROR: $ATLAS_CBLASLIB is not a regular file or is not readable by us." && exit 1; }
+
+[ -f "$ATLAS_EXTRA_LIB" -a -r "$ATLAS_EXTRA_LIB" ] || \
+{ echo "ERROR: $ATLAS_EXTRA_LIB is not a regular file or is not readable by us." && exit 1; }
+
+[ -f "$ATLAS_LAPACK" -a -r "$ATLAS_LAPACK" ] || \
+{ echo "ERROR: $ATLAS_LAPACK is not a regular file or is not readable by us." && exit 1; }
+
+ATLAS_LIBS="${ATLAS_BLASLIB} ${ATLAS_EXTRA_LIB}"
+
+# Copy the pre-configured make.inc file but edit it accordingly
+sed $CWD/make.inc.atlas \
+    -e s%XXX_FORTRAN_XXX%"$ATLAS_COMPILER"% \
+    -e s%XXX_TIMER_XXX%"$LAPACK_TIMER"% \
+    -e s%XXX_BLASLIB_XXX%"$ATLAS_LIBS"% > \
+    make.inc
+
+# Set the compilation flags.
+LAPACK_OPTS="$ATLAS_F77FLAGS $NOOPTFLAGS"
+LAPACK_NOOPT="$ATLAS_NOOPT $NOOPTFLAGS"
+
+# Build objects and static library files
+make cleanlib
+make OPTS="$LAPACK_OPTS" NOOPT="$LAPACK_NOOPT" lapacklib
+
+# Merge the ATLAS incomplete LAPACK library with the
+# just built full LAPACK.
+mkdir -p merging_dir
+( cd merging_dir
+  ar x "$ATLAS_LAPACK"
+  ar r "../lib${SRCNAM}.a" *.o
+)
+rm -rf merging_dir
+
+if [ "$TEST_LAPACK" = "Y" ]; then
+  # We want to test LAPACK, thus we have to build tmglib and then run the tests
+  make OPTS="$LAPACK_OPTS" NOOPT="$LAPACK_NOOPT" tmglib
+ 
+  # Update make.inc taking into account that the LAPACK library has
+  # been merged with the optimized LAPACK routines provided by ATLAS.
+  ATLAS_LIBS="${ATLAS_BLASLIB} ${ATLAS_CBLASLIB} ${ATLAS_EXTRA_LIB}"
+
+  if [ "$USE_ATLAS_PT_LIBS" = "Y" ]; then
+    # Add the threads library
+    ATLAS_LIBS=${ATLAS_LIBS}" -lpthread"
+  fi
+
+  cat "$CWD/make.inc.atlas" | \
+    sed -e s%XXX_FORTRAN_XXX%"$ATLAS_COMPILER"% \
+      -e s%XXX_TIMER_XXX%"$LAPACK_TIMER"% \
+      -e s%XXX_BLASLIB_XXX%"$ATLAS_LIBS"% > \
+      make.inc
+
+  make OPTS="$LAPACK_OPTS" NOOPT="$LAPACK_NOOPT" lapack_testing
+
+  # Put the test results together
+  TEST_OUTPUT="TEST.RESULTS.tgz"
+  tar czf "$TEST_OUTPUT" TESTING/*.out
+fi
+ 
+#LAPACK only.
+( mkdir "shared_$SRCNAM"
+  cd "shared_$SRCNAM"
+  ar -x "../lib$SRCNAM.a"
+  gcc -fPIC -lgfortran -shared *.o -Wl,-soname,"$SRCNAM.so.$VERSION" \
+      -o "lib$SRCNAM.so.$VERSION"
+)
+
+mkdir -p "$PKG$SYS_DESTDIR/lib${LIBDIRSUFFIX}"
+cp "lib$SRCNAM.a" "$PKG$SYS_DESTDIR/lib${LIBDIRSUFFIX}"
+cp "shared_$SRCNAM/lib$SRCNAM.so.$VERSION" "$PKG$SYS_DESTDIR/lib${LIBDIRSUFFIX}"
+( cd "$PKG$SYS_DESTDIR/lib${LIBDIRSUFFIX}"
+  chmod 755 "lib$SRCNAM.so.$VERSION"
+  ln -s "lib$SRCNAM.so.$VERSION" "lib$SRCNAM.so"
+)
+
+find $PKG -print0 | xargs -0 file | grep -e "executable" -e "shared object" | \
+  grep ELF | cut -f 1 -d : | xargs strip --strip-unneeded 2> /dev/null || true
+
+mkdir -p "$DOC_DIR"
+cat "$CWD/${PRGNAM}.SlackBuild" > "$DOC_DIR/${PRGNAM}.SlackBuild"
+cat README > "$DOC_DIR/README"
+cat "$CWD/README.SLACKWARE" > "$DOC_DIR/README.SLACKWARE"
+cat LICENSE > "$DOC_DIR/LICENSE"
+
+# If the tests have been performed, also copy the results to the doc directory.
+if [ -f "$TEST_OUTPUT" ]; then
+  cp -p "$TEST_OUTPUT" "$DOC_DIR"
+fi
+
+# Signal that lapack got compiled against atlas
+# echo "Y" > "$DOC_DIR/WITH_ATLAS"
+
+if [ "$USE_ATLAS_PT_LIBS" = "Y" ]; then
+ # Signal that lapack got compiled with thread support
+ echo "$USE_ATLAS_PT_LIBS" > "$DOC_DIR/WITH_THREADS"
+fi
+
+mkdir -p "$PKG/install"
+cat $CWD/slack-desc > $PKG/install/slack-desc
+
+cd "$PKG"
+/sbin/makepkg -l y -c n $OUTPUT/${PRGNAM}-$VERSION-$ARCH-$BUILD$TAG.${PKGTYPE:-tgz}
diff --git a/libraries/lapack-atlas/lapack-atlas.info b/libraries/lapack-atlas/lapack-atlas.info
new file mode 100644
index 0000000000..2497c5379e
--- /dev/null
+++ b/libraries/lapack-atlas/lapack-atlas.info
@@ -0,0 +1,10 @@
+PRGNAM="lapack-atlas"
+VERSION="3.3.1"
+HOMEPAGE="http://www.netlib.org/lapack/"
+DOWNLOAD="http://skmail.ikp.physik.tu-darmstadt.de/lapack/lapack-3.3.1.tgz"
+MD5SUM="cb0790c96c72752e3f292bf85a7fbef0"
+DOWNLOAD_x86_64=""
+MD5SUM_x86_64=""
+MAINTAINER="Serban Udrea"
+EMAIL="S.Udrea@gsi.de"
+APPROVED="rworkman"
diff --git a/libraries/lapack-atlas/make.inc.atlas b/libraries/lapack-atlas/make.inc.atlas
new file mode 100644
index 0000000000..48fe44c03f
--- /dev/null
+++ b/libraries/lapack-atlas/make.inc.atlas
@@ -0,0 +1,70 @@
+# -*- Makefile -*-
+####################################################################
+#  LAPACK make include file.                                       #
+#  LAPACK, Version 3.2.1                                           #
+#  April 2009                                                      #
+####################################################################
+#
+# See the INSTALL/ directory for more examples.
+#
+SHELL = /bin/sh
+#
+#  The machine (platform) identifier to append to the library names
+#
+#PLAT = _LINUX
+#
+#  Modify the FORTRAN and OPTS definitions to refer to the
+#  compiler and desired compiler options for your machine.  NOOPT
+#  refers to the compiler options desired when NO OPTIMIZATION is
+#  selected.  Define LOADER and LOADOPTS to refer to the loader
+#  and desired load options for your machine.
+#
+FORTRAN  = XXX_FORTRAN_XXX
+OPTS     = 
+DRVOPTS  = $(OPTS)
+NOOPT    = 
+LOADER   = $(FORTRAN)
+LOADOPTS = $(OPTS)
+#
+# Timer for the SECOND and DSECND routines
+#
+# Default : SECOND and DSECND will use a call to the EXTERNAL FUNCTION ETIME
+# TIMER    = EXT_ETIME
+# For RS6K : SECOND and DSECND will use a call to the EXTERNAL FUNCTION ETIME_
+# TIMER    = EXT_ETIME_
+# For gfortran compiler: SECOND and DSECND will use a call to the INTERNAL FUNCTION ETIME
+# TIMER    = INT_ETIME
+# If your Fortran compiler does not provide etime (like Nag Fortran Compiler, etc...)
+# SECOND and DSECND will use a call to the Fortran standard INTERNAL FUNCTION CPU_TIME
+#TIMER    = INT_CPU_TIME
+# If neither of this works...you can use the NONE value... In that case, SECOND and DSECND will always return 0
+TIMER     = XXX_TIMER_XXX
+#
+#  The archiver and the flag(s) to use when building archive (library)
+#  If you system has no ranlib, set RANLIB = echo.
+#
+ARCH     = ar
+ARCHFLAGS= cr
+RANLIB   = ranlib
+#
+#  The location of BLAS library for linking the testing programs.
+#  The target's machine-specific, optimized BLAS library should be
+#  used whenever possible.
+#
+BLASLIB      = XXX_BLASLIB_XXX
+#
+#  Location of the extended-precision BLAS (XBLAS) Fortran library
+#  used for building and testing extended-precision routines.  The
+#  relevant routines will be compiled and XBLAS will be linked only if
+#  USEXBLAS is defined.
+#
+# USEXBLAS    = Yes
+XBLASLIB     =
+# XBLASLIB    = -lxblas
+#
+#  Names of generated libraries.
+#
+LAPACKLIB    = liblapack$(PLAT).a
+TMGLIB       = libtmglib$(PLAT).a
+EIGSRCLIB    = libeigsrc$(PLAT).a
+LINSRCLIB    = liblinsrc$(PLAT).a
diff --git a/libraries/lapack-atlas/slack-desc b/libraries/lapack-atlas/slack-desc
new file mode 100644
index 0000000000..1999509c4d
--- /dev/null
+++ b/libraries/lapack-atlas/slack-desc
@@ -0,0 +1,19 @@
+# HOW TO EDIT THIS FILE:
+# The "handy ruler" below makes it easier to edit a package description.  Line
+# up the first '|' above the ':' following the base package name, and the '|'
+# on the right side marks the last column you can put a character in.  You must
+# make exactly 11 lines for the formatting to be correct.  It's also
+# customary to leave one space after the ':'.
+
+            |-----handy-ruler------------------------------------------------------|
+lapack-atlas: LAPACK-ATLAS (LAPACK customized for build against ATLAS)
+lapack-atlas:
+lapack-atlas: LAPACK provides routines for solving systems of simultaneous linear
+lapack-atlas: equations, least-squares solutions of linear systems of equations,
+lapack-atlas: eigenvalue problems, and singular value problems. The associated matrix
+lapack-atlas: factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are
+lapack-atlas: also provided, as are related computations such as reordering of the
+lapack-atlas: Schur factorizations and estimating condition numbers. Dense and banded
+lapack-atlas: matrices are handled, but not general sparse matrices. In all areas,
+lapack-atlas: similar functionality is provided for real and complex matrices, in
+lapack-atlas: both single and double precision.