This is mostly a long term maintenance improvement.
Many coding styles require elimination of trailing whitespace, and
many editors and source code management configurations automatically
gobble up whitespace. When these tools gobble up whitespace, it
complicates reviewing the meaningful code changes.
By removing whitespace on one patch, it makes future
code reviews much easier.
=SCRIPT====================================================================
if which tempfile &>/dev/null; then
TEMPMAKER=tempfile
elif which mktemp &>/dev/null; then
TEMPMAKER=mktemp
else
echo "Cannot find tempfile program." 2>&1
exit 1
fi
MYTEMP=$($TEMPMAKER)
trap 'rm -f $MYTEMP' SIGINT SIGTERM
stripit() {
echo "stripping $1"
sed 's/[ \t]*$//' "$1" > $MYTEMP
cp $MYTEMP "$1"
}
if [ $# -gt 0 ]; then
while [ "$1" != "" ]; do
stripit $1
shift
done
else
while read -t 2; do
stripit $REPLY
done
fi
rm $MYTEMP
=================================================
#######################################################################
all: $(BLASLIB)
-
+
#---------------------------------------------------------
# Comment out the next 6 definitions if you already have
# the Level 1 BLAS.
# Comment out the next 4 definitions if you already have
# the Level 3 BLAS.
#---------------------------------------------------------
-SBLAS3 = sgemm.o ssymm.o ssyrk.o ssyr2k.o strmm.o strsm.o
+SBLAS3 = sgemm.o ssymm.o ssyrk.o ssyr2k.o strmm.o strsm.o
$(SBLAS3): $(FRC)
CBLAS3 = cgemm.o csymm.o csyrk.o csyr2k.o ctrmm.o ctrsm.o \
clean:
rm -f *.o
-.f.o:
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
include ../../make.inc
-
+
#######################################################################
# This makefile creates the test programs for the BLAS 1 routines.
# The test files are grouped as follows:
#
#######################################################################
-SBLAT1 = sblat1.o
+SBLAT1 = sblat1.o
-CBLAT1 = cblat1.o
+CBLAT1 = cblat1.o
-DBLAT1 = dblat1.o
+DBLAT1 = dblat1.o
ZBLAT1 = zblat1.o
$(LOADER) $(LOADOPTS) $(SBLAT1) \
$(BLASLIB) -o ../xblat1s
-../xblat1c: $(CBLAT1)
+../xblat1c: $(CBLAT1)
$(LOADER) $(LOADOPTS) $(CBLAT1) \
$(BLASLIB) -o ../xblat1c
-
-../xblat1d: $(DBLAT1)
+
+../xblat1d: $(DBLAT1)
$(LOADER) $(LOADOPTS) $(DBLAT1) \
$(BLASLIB) -o ../xblat1d
-
-../xblat1z: $(ZBLAT1)
+
+../xblat1z: $(ZBLAT1)
$(LOADER) $(LOADOPTS) $(ZBLAT1) \
$(BLASLIB) -o ../xblat1z
-
+
$(SBLAT1): $(FRC)
$(CBLAT1): $(FRC)
$(DBLAT1): $(FRC)
$(ZBLAT1): $(FRC)
-
+
FRC:
@FRC=$(FRC)
-
+
clean:
rm -f *.o
-
-.f.o:
+
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
include ../../make.inc
-
+
#######################################################################
# This makefile creates the test programs for the BLAS 2 routines.
# The test files are grouped as follows:
#
#######################################################################
-SBLAT2 = sblat2.o
+SBLAT2 = sblat2.o
-CBLAT2 = cblat2.o
+CBLAT2 = cblat2.o
-DBLAT2 = dblat2.o
+DBLAT2 = dblat2.o
ZBLAT2 = zblat2.o
$(LOADER) $(LOADOPTS) $(SBLAT2) \
$(BLASLIB) -o ../xblat2s
-../xblat2c: $(CBLAT2)
+../xblat2c: $(CBLAT2)
$(LOADER) $(LOADOPTS) $(CBLAT2) \
$(BLASLIB) -o ../xblat2c
-
-../xblat2d: $(DBLAT2)
+
+../xblat2d: $(DBLAT2)
$(LOADER) $(LOADOPTS) $(DBLAT2) \
$(BLASLIB) -o ../xblat2d
-
-../xblat2z: $(ZBLAT2)
+
+../xblat2z: $(ZBLAT2)
$(LOADER) $(LOADOPTS) $(ZBLAT2) \
$(BLASLIB) -o ../xblat2z
-
+
$(SBLAT2): $(FRC)
$(CBLAT2): $(FRC)
$(DBLAT2): $(FRC)
$(ZBLAT2): $(FRC)
-
+
FRC:
@FRC=$(FRC)
-
+
clean:
rm -f *.o
-
-.f.o:
+
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
include ../../make.inc
-
+
#######################################################################
# This makefile creates the test programs for the BLAS 3 routines.
# The test files are grouped as follows:
SBLAT3 = sblat3.o
-CBLAT3 = cblat3.o
+CBLAT3 = cblat3.o
-DBLAT3 = dblat3.o
+DBLAT3 = dblat3.o
ZBLAT3 = zblat3.o
$(LOADER) $(LOADOPTS) $(SBLAT3) \
$(BLASLIB) -o ../xblat3s
-../xblat3c: $(CBLAT3)
+../xblat3c: $(CBLAT3)
$(LOADER) $(LOADOPTS) $(CBLAT3) \
$(BLASLIB) -o ../xblat3c
-
-../xblat3d: $(DBLAT3)
+
+../xblat3d: $(DBLAT3)
$(LOADER) $(LOADOPTS) $(DBLAT3) \
$(BLASLIB) -o ../xblat3d
-
-../xblat3z: $(ZBLAT3)
+
+../xblat3z: $(ZBLAT3)
$(LOADER) $(LOADOPTS) $(ZBLAT3) \
$(BLASLIB) -o ../xblat3z
-
+
$(SBLAT3): $(FRC)
$(CBLAT3): $(FRC)
$(DBLAT3): $(FRC)
$(ZBLAT3): $(FRC)
-
+
FRC:
@FRC=$(FRC)
-
+
clean:
rm -f *.o
-
-.f.o:
+
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
runtst:
cd testing && $(MAKE) run
-
+
example: all
cd examples && make all
# If you compile, change the name to Makefile.in.
#
#
-
+
#-----------------------------------------------------------------------------
# Shell
#-----------------------------------------------------------------------------
#-----------------------------------------------------------------------------
# Libraries and includes
#-----------------------------------------------------------------------------
-
+
BLLIB = $(home)/lib/librefblas.a
CBLIB = ../lib/libcblas.a
#-----------------------------------------------------------------------------
CFLAGS = -O3 -DADD_
-FFLAGS = -O3
+FFLAGS = -O3
#-----------------------------------------------------------------------------
# Archive programs and flags
BLASLIB is your Legacy BLAS library (by default the Reference BLAS shipped within LAPACK)
Then type:
-
+
prompt> make
-
+
which will create the CBLAS library.
CREATING THE TESTERS
type:
-
+
prompt> make cblas_testing
-
+
This will create the BLAS library if necessary, then compile the CBLAS testings.
EXECUTING THE TESTERS
type:
-
+
prompt> make runtst
-
+
_______________________________________________________________________________
This package contains C interface to Legacy BLAS.
This release updates an inconsistency between the BLAST document and
the interface. According to the document, the enumerated types for
- the C interface to the BLAS are not typedef'ed.
+ the C interface to the BLAS are not typedef'ed.
It also updates the Level 2 and 3 testers which check for correct
exiting of routines when called with bad arguments. This is done by
Updated by Julie Langou (08/22/2014):
Integrate CBLAS package into LAPACK
-Improve headers for mangling
+Improve headers for mangling
all: example1 example2
-example1:
+example1:
$(CC) -c $(CFLAGS) -I../include cblas_example1.c
$(LOADER) -o cblas_ex1 cblas_example1.o $(CBLASLIB) $(BLASLIB)
-example2:
+example2:
$(CC) -c $(CFLAGS) -I../include cblas_example2.c
$(LOADER) -o cblas_ex2 cblas_example2.o $(CBLASLIB) $(BLASLIB)
-
+
cleanall:
rm -f *.o cblas_ex1 cblas_ex2
all: cblaslib
clean:
- rm -f *.o a.out core
+ rm -f *.o a.out core
# Error handling routines for level 2 & 3
errhand = cblas_globals.o cblas_xerbla.o xerbla.o
# Object files of all routines
-alev = $(alev1) $(alev2) $(alev3) $(errhand)
+alev = $(alev1) $(alev2) $(alev3) $(errhand)
#
#
# CBLAS routines
#
# Level 1
#
-#
+#
#
# All object files for single real precision
cblas_sswap.o cblas_sscal.o cblas_scopy.o cblas_saxpy.o \
cblas_sdot.o cblas_sdsdot.o cblas_snrm2.o cblas_sasum.o \
cblas_isamax.o sdotsub.o sdsdotsub.o snrm2sub.o sasumsub.o \
- isamaxsub.o
+ isamaxsub.o
#
# All object files for double real precision
#
#
clev1 = cblas_cswap.o cblas_cscal.o cblas_csscal.o cblas_ccopy.o \
cblas_caxpy.o cblas_cdotu_sub.o cblas_cdotc_sub.o \
- cblas_icamax.o cdotcsub.o cdotusub.o icamaxsub.o
+ cblas_icamax.o cdotcsub.o cdotusub.o icamaxsub.o
#
# All object files for double complex precision
zlev1 = cblas_zswap.o cblas_zscal.o cblas_zdscal.o cblas_zcopy.o \
cblas_zaxpy.o cblas_zdotu_sub.o cblas_zdotc_sub.o cblas_dznrm2.o \
cblas_dzasum.o cblas_izamax.o zdotcsub.o zdotusub.o \
- dzasumsub.o dznrm2sub.o izamaxsub.o
+ dzasumsub.o dznrm2sub.o izamaxsub.o
#
# Common files for single / complex precision
$(RANLIB) $(CBLASLIB)
# Double real precision
-dlib1: $(dlev1)
+dlib1: $(dlev1)
$(ARCH) $(ARCHFLAGS) $(CBLASLIB) $(dlev1)
$(RANLIB) $(CBLASLIB)
#
# Level 2
#
-#
+#
#
# All object files for single real precision
slev2 = cblas_sgemv.o cblas_sgbmv.o cblas_sger.o cblas_ssbmv.o cblas_sspmv.o \
cblas_sspr.o cblas_sspr2.o cblas_ssymv.o cblas_ssyr.o cblas_ssyr2.o \
cblas_stbmv.o cblas_stbsv.o cblas_stpmv.o cblas_stpsv.o cblas_strmv.o \
- cblas_strsv.o
-
+ cblas_strsv.o
+
#
# All object files for double real precision
#
dlev2 = cblas_dgemv.o cblas_dgbmv.o cblas_dger.o cblas_dsbmv.o cblas_dspmv.o \
cblas_dspr.o cblas_dspr2.o cblas_dsymv.o cblas_dsyr.o cblas_dsyr2.o \
cblas_dtbmv.o cblas_dtbsv.o cblas_dtpmv.o cblas_dtpsv.o cblas_dtrmv.o \
- cblas_dtrsv.o
+ cblas_dtrsv.o
#
# All object files for single complex precision
clev2 = cblas_cgemv.o cblas_cgbmv.o cblas_chemv.o cblas_chbmv.o cblas_chpmv.o \
cblas_ctrmv.o cblas_ctbmv.o cblas_ctpmv.o cblas_ctrsv.o cblas_ctbsv.o \
cblas_ctpsv.o cblas_cgeru.o cblas_cgerc.o cblas_cher.o cblas_cher2.o \
- cblas_chpr.o cblas_chpr2.o
+ cblas_chpr.o cblas_chpr2.o
#
# All object files for double complex precision
zlev2 = cblas_zgemv.o cblas_zgbmv.o cblas_zhemv.o cblas_zhbmv.o cblas_zhpmv.o \
cblas_ztrmv.o cblas_ztbmv.o cblas_ztpmv.o cblas_ztrsv.o cblas_ztbsv.o \
cblas_ztpsv.o cblas_zgeru.o cblas_zgerc.o cblas_zher.o cblas_zher2.o \
- cblas_zhpr.o cblas_zhpr2.o
+ cblas_zhpr.o cblas_zhpr2.o
#
# All object files
#
#
# Level 3
#
-#
+#
#
# All object files for single real precision
#
slev3 = cblas_sgemm.o cblas_ssymm.o cblas_ssyrk.o cblas_ssyr2k.o cblas_strmm.o\
cblas_strsm.o
-
+
#
# All object files for double real precision
#
dlev3 = cblas_dgemm.o cblas_dsymm.o cblas_dsyrk.o cblas_dsyr2k.o cblas_dtrmm.o\
- cblas_dtrsm.o
+ cblas_dtrsm.o
#
# All object files for single complex precision
# All precisions
all3: $(alev3) $(errhand)
- $(ARCH) $(ARCHFLAGS) $(CBLASLIB) $(alev3)
+ $(ARCH) $(ARCHFLAGS) $(CBLASLIB) $(alev3)
$(RANLIB) $(CBLASLIB)
# All levels and precisions
-cblaslib: $(alev)
- $(ARCH) $(ARCHFLAGS) $(CBLASLIB) $(alev)
+cblaslib: $(alev)
+ $(ARCH) $(ARCHFLAGS) $(CBLASLIB) $(alev)
$(RANLIB) $(CBLASLIB)
FRC:
.c.o:
$(CC) -c $(CFLAGS) -I ../include -o $@ $<
-
-.f.o:
+
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
#
-# The Makefile compiles c wrappers and testers for CBLAS.
+# The Makefile compiles c wrappers and testers for CBLAS.
#
include ../../make.inc
# Archive files necessary to compile
-LIB = $(CBLASLIB) $(BLASLIB)
+LIB = $(CBLASLIB) $(BLASLIB)
# Object files for single real precision
stestl1o = c_sblas1.o
ctestl3o = c_cblas3.o c_c3chke.o auxiliary.o c_xerbla.o
# Object files for double complex precision
-ztestl1o = c_zblas1.o
+ztestl1o = c_zblas1.o
ztestl2o = c_zblas2.o c_z2chke.o auxiliary.o c_xerbla.o
ztestl3o = c_zblas3.o c_z3chke.o auxiliary.o c_xerbla.o
-all: all1 all2 all3
-all1: stest1 dtest1 ctest1 ztest1
+all: all1 all2 all3
+all1: stest1 dtest1 ctest1 ztest1
all2: stest2 dtest2 ctest2 ztest2
all3: stest3 dtest3 ctest3 ztest3
clean:
rm -f core *.o *.out x*
cleanobj:
- rm -f core *.o a.out
+ rm -f core *.o a.out
cleanexe:
- rm -f x*
+ rm -f x*
stest1: xscblat1
dtest1: xdcblat1
$(LOADER) $(LOADOPTS) -o xdcblat2 c_dblat2.o $(dtestl2o) $(LIB)
xdcblat3: $(dtestl3o) c_dblat3.o
$(LOADER) $(LOADOPTS) -o xdcblat3 c_dblat3.o $(dtestl3o) $(LIB)
-
+
# Single complex
xccblat1: $(ctestl1o) c_cblat1.o
$(LOADER) $(LOADOPTS) -o xccblat1 c_cblat1.o $(ctestl1o) $(LIB)
xccblat3: $(ctestl3o) c_cblat3.o
$(LOADER) $(LOADOPTS) -o xccblat3 c_cblat3.o $(ctestl3o) $(LIB)
-# Double complex
+# Double complex
xzcblat1: $(ztestl1o) c_zblat1.o
$(LOADER) $(LOADOPTS) -o xzcblat1 c_zblat1.o $(ztestl1o) $(LIB)
xzcblat2: $(ztestl2o) c_zblat2.o
$(LOADER) $(LOADOPTS) -o xzcblat2 c_zblat2.o $(ztestl2o) $(LIB)
xzcblat3: $(ztestl3o) c_zblat3.o
$(LOADER) $(LOADOPTS) -o xzcblat3 c_zblat3.o $(ztestl3o) $(LIB)
-
+
# RUN TESTS
run:
@echo "--> TESTING CBLAS 3 - COMPLEX PRECISION <--"
@./xccblat3 < cin3 > ctest3.out
@echo "--> TESTING CBLAS 3 - DOUBLE COMPLEX PRECISION <--"
- @./xzcblat3 < zin3 > ztest3.out
-
+ @./xzcblat3 < zin3 > ztest3.out
+
.SUFFIXES: .o .f .c
.c.o:
$(CC) -c $(CFLAGS) -I ../include -o $@ $<
-
-.f.o:
+
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
# specified with INPUT and INCLUDE_PATH.
# This tag requires that the tag CLANG_ASSISTED_PARSING is set to YES.
-CLANG_OPTIONS =
+CLANG_OPTIONS =
#---------------------------------------------------------------------------
# Configuration options related to the alphabetical class index
# specified with INPUT and INCLUDE_PATH.
# This tag requires that the tag CLANG_ASSISTED_PARSING is set to YES.
-CLANG_OPTIONS =
+CLANG_OPTIONS =
#---------------------------------------------------------------------------
# Configuration options related to the alphabetical class index
%Separate instructions are provided for the Unix and non-Unix
%versions of the test package.
%Further details are also given on the design of the test and timing
-%programs.
+%programs.
\newpage
\tableofcontents
LAPACK is a linear algebra library for high-performance
computers.
-The library includes Fortran subroutines for
+The library includes Fortran subroutines for
the analysis and solution of systems of simultaneous linear algebraic
equations, linear least-squares problems, and matrix eigenvalue
problems.
a standard set of Basic Linear Algebra Subprograms (the BLAS),
which can be optimized for each computing environment.
By confining most of the computational work to the BLAS,
-the subroutines should be
+the subroutines should be
transportable and efficient across a wide range of computers.
This working note describes how to install, test, and time this
release of LAPACK on a Unix System.
-The instructions for installing, testing, and timing
-\footnote{timing are only provided in LAPACK 3.0 and before}
+The instructions for installing, testing, and timing
+\footnote{timing are only provided in LAPACK 3.0 and before}
are designed for a person whose
responsibility is the maintenance of a mathematical software library.
-We assume the installer has experience in compiling and running
+We assume the installer has experience in compiling and running
Fortran programs and in creating object libraries.
The installation process involves untarring the file, creating a set of
-libraries, and compiling and running the test and timing programs
-\footnotemark[\value{footnote}].
+libraries, and compiling and running the test and timing programs
+\footnotemark[\value{footnote}].
%This guide combines the instructions for the Unix and non-Unix
%versions of the LAPACK test package (the non-Unix version is in Appendix
% Sections~\ref{moretesting}
%and ~\ref{moretiming} give
%details of the test and timing programs and their input files.
-%Appendices ~\ref{appendixa} and ~\ref{appendixb} briefly describe
+%Appendices ~\ref{appendixa} and ~\ref{appendixb} briefly describe
%the LAPACK routines and auxiliary routines provided
-%in this release.
-%Appendix ~\ref{appendixc} lists the operation counts we have computed
+%in this release.
+%Appendix ~\ref{appendixc} lists the operation counts we have computed
%for the BLAS and for some of the LAPACK routines.
-Appendix ~\ref{appendixd}, entitled ``Caveats'', is a compendium of the known
-problems from our own experiences, with suggestions on how to
+Appendix ~\ref{appendixd}, entitled ``Caveats'', is a compendium of the known
+problems from our own experiences, with suggestions on how to
overcome them.
\textbf{It is strongly advised that the user read Appendix
June 30, 1992, was version 1.0a; the second update, October 31, 1992,
was version 1.0b; the third update, March 31, 1993, was version 1.1;
version 2.0 on September 30, 1994, coincided with the release of the
-Second Edition of the LAPACK Users' Guide;
+Second Edition of the LAPACK Users' Guide;
version 3.0 on June 30, 1999 coincided with the release of the Third Edition of
-the LAPACK Users' Guide;
+the LAPACK Users' Guide;
version 3.1 was released on November, 2006;
version 3.1.1 was released on November, 2007;
and version 3.2.0 was released on November, 2008.
%available on netlib is always the most up-to-date.
%
%On-line manpages (troff files) for LAPACK driver and computational
-%routines, as well as most of the BLAS routines, are available via
+%routines, as well as most of the BLAS routines, are available via
%the \texttt{lapack} index on netlib.
\section{File Format}\label{fileformat}
which contains the Fortran source for LAPACK,
the Basic Linear Algebra Subprograms
(the Level 1, 2, and 3 BLAS) needed by LAPACK, the testing programs,
-and the timing programs\footnotemark[\value{footnote}].
+and the timing programs\footnotemark[\value{footnote}].
Users who wish to have a non-Unix installation should refer to LAPACK
Working Note 41,
although the overview in section~\ref{overview} applies to both the Unix and non-Unix
\caption{Unix organization of LAPACK 3.0}
\vspace{11pt}
\end{figure}
-Libraries are created in the LAPACK directory and
+Libraries are created in the LAPACK directory and
executable files are created in one of the directories BLAS, TESTING,
-or TIMING\footnotemark[\value{footnote}]. Input files for the test and
+or TIMING\footnotemark[\value{footnote}]. Input files for the test and
timing\footnotemark[\value{footnote}] programs are also
found in these three directories so that testing may be carried out
in the directories LAPACK/BLAS, LAPACK/TESTING, and LAPACK/TIMING \footnotemark[\value{footnote}].
-A top-level makefile in the LAPACK directory is provided to perform the
+A top-level makefile in the LAPACK directory is provided to perform the
entire installation procedure.
\section{Overview of Tape Contents}\label{overview}
Some routines use features of Fortran 90.
For convenience, we often refer to routines by their single precision
names; the leading `S' can be replaced by a `D' for double precision,
-a `C' for complex, or a `Z' for complex*16.
+a `C' for complex, or a `Z' for complex*16.
For LAPACK use and testing you must decide which version(s)
of the package you intend to install at your site (for example,
REAL and COMPLEX on a Cray computer or DOUBLE PRECISION and
perform a distinct computational task, such as computing
the $LU$ decomposition of an $m$-by-$n$ matrix or finding the
eigenvalues and eigenvectors of a symmetric tridiagonal matrix using
-the $QR$ algorithm.
+the $QR$ algorithm.
The LAPACK routines are listed in LAPACK Working Note 41~\cite{WN41}
and the LAPACK Users' Guide~\cite{LUG}.
%The LAPACK routines are listed in Appendix ~\ref{appendixa}; see also LAPACK
%Working Note \#5 \cite{WN5}.
\item \textbf{auxiliary} routines are all the other subroutines called
-by the driver routines and computational routines.
+by the driver routines and computational routines.
%Among them are subroutines to perform subtasks of block algorithms,
%in particular, the unblocked versions of the block algorithms;
%extensions to the BLAS, such as matrix-vector operations involving
\subsection{Level 1, 2, and 3 BLAS}
The BLAS are a set of Basic Linear Algebra Subprograms that perform
-vector-vector, matrix-vector, and matrix-matrix operations.
+vector-vector, matrix-vector, and matrix-matrix operations.
LAPACK is designed around the Level 1, 2, and 3 BLAS, and nearly all
of the parallelism in the LAPACK routines is contained in the BLAS.
Therefore,
the key to getting good performance from LAPACK lies in having an
-efficient version of the BLAS optimized for your particular machine.
+efficient version of the BLAS optimized for your particular machine.
Optimized BLAS libraries are available on a variety of architectures,
refer to the BLAS FAQ on netlib for further information.
\begin{quote}
employ the standard tricks for optimizing Fortran code.
The formal definitions of the Level 1, 2, and 3 BLAS
-are in \cite{BLAS1}, \cite{BLAS2}, and \cite{BLAS3}.
+are in \cite{BLAS1}, \cite{BLAS2}, and \cite{BLAS3}.
The BLAS Quick Reference card is available on netlib.
\subsection{Mixed- and Extended-Precision BLAS: XBLAS}
\subsection{LAPACK Timing Routines (for LAPACK 3.0 and before) }
This release also contains two distinct timing programs for the
-LAPACK routines in each data type.
+LAPACK routines in each data type.
The linear equation timing program gathers performance data in
megaflops on the factor, solve, and inverse routines for solving
linear systems, the routines to generate or apply an orthogonal matrix
\section{Installing LAPACK on a Unix System}\label{installation}
Installing, testing, and timing\footnotemark[\value{footnote}] the Unix version of LAPACK
-involves the following steps:
+involves the following steps:
\begin{enumerate}
\item Gunzip and tar the file.
\item Copy and edit the file \texttt{LAPACK/make.inc.example to LAPACK/make.inc}.
-
+
\item Edit the file \texttt{LAPACK/Makefile} and type \texttt{make}.
%\item Test and Install the Machine-Dependent Routines \\
%\item \texttt{make blas\_timing}
%\end{list}
\end{enumerate}
-
+
\subsection{Untar the File}
If you received a tar file of LAPACK via the World Wide
run, you must define all machine-specific parameters for the
architecture to which you are installing LAPACK. All machine-specific
parameters are contained in the file \texttt{LAPACK/make.inc}.
-An example of \texttt{LAPACK/make.inc} for a LINUX machine with GNU compilers is given
+An example of \texttt{LAPACK/make.inc} for a LINUX machine with GNU compilers is given
in \texttt{LAPACK/make.inc.example}, copy that file to LAPACK/make.inc by entering the following command:
\begin{list}{}
\begin{verbatim}
#The 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_
+# 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 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 INTERNAL FUNCTION CPU_TIME
# TIMER = INT_CPU_TIME
-# If neither of this works...you can use the NONE value...
+# If neither of this works...you can use the NONE value...
# In that case, SECOND and DSECND will always return 0
# TIMER = NONE
\end{verbatim}
installation process as the user desires. Ideally, this is the ONLY
makefile the user must modify. However, modification of lower-level
makefiles may be necessary if a specific routine needs to be compiled
-with a different level of optimization.
+with a different level of optimization.
First, edit the definitions of \texttt{blaslib}, \texttt{lapacklib},
\texttt{tmglib}, \texttt{lapack\_testing}, and \texttt{timing}\footnotemark[\value{footnote}] in the file \texttt{LAPACK/Makefile}
%timing:
% ( cd TIMING; $(MAKE) -f Makefile.sgi )
%\end{verbatim}
-
+
Next, if you will be using a locally available BLAS library, you will need
to remove \texttt{blaslib} from the \texttt{lib} definition. And finally,
if you do not wish to build all of the libraries individually and
type \texttt{make lapack\_install}. The test programs are called
\texttt{testlsame, testslamch, testdlamch, testsecond, testdsecnd} and
\texttt{testieee}.
-If you do not wish to run all tests, you will need to modify the
+If you do not wish to run all tests, you will need to modify the
\texttt{lapack\_install} definition in the \texttt{LAPACK/Makefile} to only include the
tests you wish to run. Otherwise, all tests will be performed.
The expected results of each test program are described below.
LSAME is a logical function with two character parameters, A and B.
It returns .TRUE. if A and B are the same regardless of case, or .FALSE.
-if they are different.
+if they are different.
For example, the expression
-\begin{list}{}{}
+\begin{list}{}{}
\item \texttt{LSAME( UPLO, 'U' )}
\end{list}
-\noindent
+\noindent
is equivalent to
-\begin{list}{}{}
+\begin{list}{}{}
\item \texttt{( UPLO.EQ.'U' ).OR.( UPLO.EQ.'u' )}
-\end{list}
-
+\end{list}
+
The test program in \texttt{lsametst.f} tests all combinations of
the same character in upper and lower case for A and B, and two
cases where A and B are different characters.
Tests completed
\end{verbatim}
The file \texttt{lsame.f} is automatically copied to
-\texttt{LAPACK/BLAS/SRC/} and \texttt{LAPACK/SRC/}.
+\texttt{LAPACK/BLAS/SRC/} and \texttt{LAPACK/SRC/}.
The function LSAME is needed by both the BLAS and LAPACK, so it is safer
to have it in both libraries as long as this does not cause trouble
in the link phase when both libraries are used.
\subsubsection{Installing SLAMCH and DLAMCH}
SLAMCH and DLAMCH are real functions with a single character parameter
-that indicates the machine parameter to be returned. The test
+that indicates the machine parameter to be returned. The test
program in \texttt{slamchtst.f}
simply prints out the different values computed by SLAMCH,
-so you need to know something about what the values should be.
+so you need to know something about what the values should be.
For example, the output of the test program executable \texttt{testslamch}
for SLAMCH on a Sun SPARCstation is
\begin{verbatim}
it is recomputed as $(1/(\mathrm{overflow})) * ( 1 + \varepsilon )$,
where $\varepsilon$ is the machine precision.
-BE AWARE that the initial call to SLAMCH or DLAMCH is expensive.
+BE AWARE that the initial call to SLAMCH or DLAMCH is expensive.
We suggest that installers run it once, save the results, and hard-code
the constants in the version they put in their library.
Both the timing routines\footnotemark[\value{footnote}] and the test routines call SECOND
(DSECND), a real function with no arguments that returns the time
in seconds from some fixed starting time.
-Our version of this routine
-returns only ``user time'', and not ``user time $+$ system time''.
-The following version of SECOND in \texttt{second\_EXT\_ETIME.f, second\_INT\_ETIME.f} calls
+Our version of this routine
+returns only ``user time'', and not ``user time $+$ system time''.
+The following version of SECOND in \texttt{second\_EXT\_ETIME.f, second\_INT\_ETIME.f} calls
ETIME, a Fortran library routine available on some computer systems.
If ETIME is not available or a better local timing function exists,
you will have to provide the correct interface to SECOND and DSECND
The version that will be used depends on the value of the TIMER variable in the make.inc
\begin{itemize}
-\item If ETIME is available as an external function, set the value of the TIMER variable in your
+\item If ETIME is available as an external function, set the value of the TIMER variable in your
make.inc to \texttt{EXT\_ETIME}:\texttt{second\_EXT\_ETIME.f} and \texttt{dsecnd\_EXT\_ETIME.f} will be used.
Usually on HPPA architectures,
the compiler and loader flag \texttt{+U77} should be included to access
the function \texttt{ETIME}.
-\item If ETIME\_ is available as an external function, set the value of the TIMER variable in your make.inc
+\item If ETIME\_ is available as an external function, set the value of the TIMER variable in your make.inc
to \texttt{EXT\_ETIME\_}:\texttt{second\_EXT\_ETIME\_.f} and \texttt{dsecnd\_EXT\_ETIME\_.f} will be used.
It is the case on some IBM architectures such as IBM RS/6000s.
\item If ETIME is available as an internal function, set the value of the TIMER variable in your make.inc
-to \texttt{INT\_ETIME}:\texttt{second\_INT\_ETIME.f} and \texttt{dsecnd\_INT\_ETIME.f} will be used.
+to \texttt{INT\_ETIME}:\texttt{second\_INT\_ETIME.f} and \texttt{dsecnd\_INT\_ETIME.f} will be used.
This is the case with gfortan.
\item If CPU\_TIME is available as an internal function, set the value of the TIMER variable in your make.inc
\end{itemize}
The test program in \texttt{secondtst.f}
-performs a million operations using 5000 iterations of
+performs a million operations using 5000 iterations of
the SAXPY operation $y := y + \alpha x$ on a vector of length 100.
The total time and megaflops for this test is reported, then
the operation is repeated including a call to SECOND on each of
the 5000 iterations to determine the overhead due to calling SECOND.
The test program executable is called \texttt{testsecond} (or \texttt{testdsecnd}).
There is no single right answer, but the times
-in seconds should be positive and the megaflop ratios should be
+in seconds should be positive and the megaflop ratios should be
appropriate for your machine.
\subsubsection{Testing IEEE arithmetic and ILAENV}\label{testieee}
-%\textbf{If you are installing LAPACK on a non-IEEE machine, you MUST
+%\textbf{If you are installing LAPACK on a non-IEEE machine, you MUST
%modify ILAENV! Otherwise, ILAENV will crash . By default, ILAENV
%assumes an IEEE machine, and does a test for IEEE-754 compliance.}
are installing LAPACK on a non-IEEE machine, you MUST modify ILAENV,
as this test inside ILAENV will crash!}
-If \texttt{ILAENV( 10, $\ldots$ )} or \texttt{ILAENV( 11, $\ldots$ )} is
+If \texttt{ILAENV( 10, $\ldots$ )} or \texttt{ILAENV( 11, $\ldots$ )} is
issued, then \texttt{ILAENV=1} is returned to signal IEEE-754 compliance,
and \texttt{ILAENV=0} if the architecture is non-IEEE-754 compliant.
The test program in \texttt{LAPACK/INSTALL/tstiee.f} checks an installation
architecture
-to see if infinity arithmetic and NaN arithmetic are IEEE-754 compliant.
+to see if infinity arithmetic and NaN arithmetic are IEEE-754 compliant.
A warning message to the user is printed if non-compliance is detected.
This same test is performed inside the function ILAENV. If
-\texttt{ILAENV( 10, $\ldots$ )} or \texttt{ILAENV( 11, $\ldots$ )} is
+\texttt{ILAENV( 10, $\ldots$ )} or \texttt{ILAENV( 11, $\ldots$ )} is
issued, then \texttt{ILAENV=1} is returned to signal IEEE-754 compliance,
and \texttt{ILAENV=0} if the architecture is non-IEEE-754 compliant.
his library. As aforementioned, there are also specialized testing and
timing\footnotemark[\value{footnote}] versions of ILAENV that will also need to be modified.
-\subsection{Create the BLAS Library}
+\subsection{Create the BLAS Library}
Ideally, a highly optimized version of the BLAS library already
-exists on your machine.
+exists on your machine.
In this case you can go directly to Section~\ref{testblas} to
-make the BLAS test programs.
+make the BLAS test programs.
\begin{itemize}
\item[a)]
in Section~\ref{toplevelmakefile}.
If you already have some of the BLAS, you will need to edit the file
-\texttt{LAPACK/BLAS/SRC/Makefile} to comment out the lines
-defining the BLAS you have.
+\texttt{LAPACK/BLAS/SRC/Makefile} to comment out the lines
+defining the BLAS you have.
\item[b)]
Type \texttt{make blaslib}.
The make command can be run more than once to add another
-data type to the library if necessary.
+data type to the library if necessary.
\end{itemize}
\noindent
\subsection{Run the BLAS Test Programs}\label{testblas}
-Test programs for the Level 1, 2, and 3 BLAS are in the directory
+Test programs for the Level 1, 2, and 3 BLAS are in the directory
\texttt{LAPACK/BLAS/TESTING}.
To compile and run the Level 1, 2, and 3 BLAS test programs,
For example, on a machine with vector registers, at least one value
of $N$ greater than the length of the vector registers should be used;
otherwise, important parts of the compiled code may not be
-exercised by the tests.
+exercised by the tests.
If the tests were not successful, either because the program did not
finish or the test ratios did not pass the threshold, you will
-probably have to find and correct the problem before continuing.
+probably have to find and correct the problem before continuing.
If you have been testing a system-specific
BLAS library, try using the Fortran BLAS for the routines that
did not pass the tests.
-For more details on the BLAS test programs,
+For more details on the BLAS test programs,
see \cite{BLAS2-test} and \cite{BLAS3-test}.
\subsection{Create the LAPACK Library}
\item[b)]
Type \texttt{make lapacklib}.
The make command can be run more than once to add another
-data type to the library if necessary.
+data type to the library if necessary.
\end{itemize}
\item[b)]
Type \texttt{make tmglib}.
The make command can be run more than once to add another
-data type to the library if necessary.
+data type to the library if necessary.
\end{itemize}
\noindent
The test matrix generator library is created in \texttt{LAPACK/tmglib\_PLAT.a},
-where \texttt{PLAT} is the user-defined architecture suffix specified in the
+where \texttt{PLAT} is the user-defined architecture suffix specified in the
file \texttt{LAPACK/make.inc}.
\subsection{Run the LAPACK Test Programs}
The input files reside in \texttt{LAPACK/TESTING}.
For more information on the test programs and how to modify the
input files, please refer to LAPACK Working Note 41~\cite{WN41}.
-% see Section~\ref{moretesting}.
+% see Section~\ref{moretesting}.
If you do not wish to run each of the tests individually, you can
go to \texttt{LAPACK}, edit the definition \texttt{lapack\_testing} in the file
\texttt{Makefile} to specify the data types desired, and type \texttt{make
lapack\_testing}. This will
-compile and run the tests as described in sections~\ref{testlin}
+compile and run the tests as described in sections~\ref{testlin}
and ~\ref{testeig}.
%If you are installing LAPACK on a Silicon Graphics machine, you must
%testing:
% ( cd TESTING; $(MAKE) -f Makefile.sgi )
%\end{verbatim}
-
+
\subsubsection{Testing the Linear Equations Routines}\label{testlin}
\begin{itemize}
\texttt{Makefile} to specify the data types desired, and type \texttt{make
lapack\_timing}. This will compile
and run the timings for the linear equation routines and the eigensystem
-routines (see Sections~\ref{timelin} and ~\ref{timeeig}).
+routines (see Sections~\ref{timelin} and ~\ref{timeeig}).
%If you are installing LAPACK on a Silicon Graphics machine, you must
%modify the definition of \texttt{timing} to be
If you encounter failures in any phase of the timing process, please
feel free to contact the authors as directed in Section~\ref{sendresults}.
-Tell us the
+Tell us the
type of machine on which the tests were run, the version of the operating
system, the compiler and compiler options that were used,
and details of the BLAS library or libraries that you used. You should
\begin{sloppypar}
To make a library of the instrumented LAPACK routines, first
go to \texttt{LAPACK/TIMING/LIN/LINSRC} and type \texttt{make} followed
-by the data types desired, as in the examples of Section~\ref{toplevelmakefile}.
+by the data types desired, as in the examples of Section~\ref{toplevelmakefile}.
The library of instrumented code is created in
\texttt{LAPACK/TIMING/LIN/linsrc\_PLAT.a},
where \texttt{PLAT} is the user-defined architecture suffix specified in the
The computational requirements can be cut in half by using only one
value of LDA.
If it is necessary to also reduce the matrix sizes or the values of
-the blocksize, corresponding changes should be made to the
+the blocksize, corresponding changes should be made to the
BLAS input files (see Section~\ref{timeblas}).
\item[d)]
-Run the programs for each data type you are using.
+Run the programs for each data type you are using.
For the REAL version, the commands for the small data sets are
\begin{list}{}{}
The linear equation timing program is also used to time the BLAS.
Three input files are provided in each data type for timing the Level
-2 and 3 BLAS.
+2 and 3 BLAS.
These input files time the BLAS using the matrix shapes encountered
in the LAPACK routines, and we will use the results to analyze the
-performance of the LAPACK routines.
+performance of the LAPACK routines.
For the REAL version, the small data files are
\texttt{sblasa\_small.in}, \texttt{sblasb\_small.in}, and \texttt{sblasc\_small.in}
and the large data files are
parameters in the Level 3 BLAS, M, N, and K, and
in most applications one of these parameters is small (on the order
of the blocksize) while the other two are large (on the order of the
-matrix size).
+matrix size).
In \texttt{sblasa\_small.in}, M and N are large but K is
small, while in \texttt{sblasb\_small.in} the small parameter is M, and
-in \texttt{sblasc\_small.in} the small parameter is N.
+in \texttt{sblasc\_small.in} the small parameter is N.
The Level 2 BLAS are timed only in the first data set, where K
is also used as the bandwidth for the banded routines.
make any necessary modifications to the input files.
You may need to set the minimum time a subroutine will
be timed to a positive value.
-If you modified the values of N or NB
+If you modified the values of N or NB
in Section~\ref{timelin}, set M, N, and K accordingly.
The large parameters among M, N, and K
should be the same as the matrix sizes used in timing the linear
value of LDA.
\item[b)]
-Run the programs for each data type you are using.
+Run the programs for each data type you are using.
For the REAL version, the commands for the small data sets are
\begin{list}{}{}
and the input files are in \texttt{LAPACK/TIMING}.
Four input files are provided in each data type for timing the
eigensystem routines,
-one for the generalized nonsymmetric eigenvalue problem,
-one for the nonsymmetric eigenvalue problem,
+one for the generalized nonsymmetric eigenvalue problem,
+one for the nonsymmetric eigenvalue problem,
one for the symmetric and generalized symmetric eigenvalue problem,
and one for the singular value decomposition.
For the REAL version, the small data sets are called \texttt{sgeptim\_small.in},
\begin{sloppypar}
To make a library of the instrumented LAPACK routines, first
go to \texttt{LAPACK/TIMING/EIG/EIGSRC} and type \texttt{make} followed
-by the data types desired, as in the examples of Section~\ref{toplevelmakefile}.
+by the data types desired, as in the examples of Section~\ref{toplevelmakefile}.
The library of instrumented code is created in
\texttt{LAPACK/TIMING/EIG/eigsrc\_PLAT.a},
where \texttt{PLAT} is the user-defined architecture suffix specified in the
\end{sloppypar}
\item[b)]
-To make the eigensystem timing programs,
+To make the eigensystem timing programs,
go to \texttt{LAPACK/TIMING/EIG} and
type \texttt{make} followed by the data types desired, as in the examples
of Section~\ref{toplevelmakefile}. The executable files are called
% See Section~\ref{moretiming} for further details.
\item[d)]
-Run the programs for each data type you are using.
+Run the programs for each data type you are using.
For the REAL version, the commands for the small data sets are
\begin{list}{}{}
\subsection{Send the Results to Tennessee}\label{sendresults}
Congratulations! You have now finished installing, testing, and
-timing LAPACK. If you encountered failures in any phase of the
+timing LAPACK. If you encountered failures in any phase of the
testing or timing process, please
consult our \texttt{release\_notes} file on netlib.
\begin{quote}
\url{http://www.netlib.org/lapack/release\_notes}
\end{quote}
-This file contains machine-dependent installation clues which hopefully will
+This file contains machine-dependent installation clues which hopefully will
alleviate your difficulties or at least let you know that other users
have had similar difficulties on that machine. If there is not an entry
for your machine or the suggestions do not fix your problem, please feel
\begin{list}{}{}
\item \href{mailto:lapack@cs.utk.edu}{\texttt{lapack@cs.utk.edu}}.
\end{list}
-Tell us the
+Tell us the
type of machine on which the tests were run, the version of the operating
system, the compiler and compiler options that were used,
and details of the BLAS library or libraries that you used. You should
We would like to keep our \texttt{release\_notes} file as up-to-date as possible.
Therefore, if you do not see an entry for your machine, please contact us
with your testing results.
-
+
Comments and suggestions are also welcome.
We encourage you to make the LAPACK library available to your
%with any previous test release.
\subsection{Get support}\label{getsupport}
-First, take a look at the complete installation manual in the LAPACK Working Note 41~\cite{WN41}.
+First, take a look at the complete installation manual in the LAPACK Working Note 41~\cite{WN41}.
if you still cannot solve your problem, you have 2 ways to go:
\begin{itemize}
\item
-either send a post in the LAPACK forum
+either send a post in the LAPACK forum
\begin{quote}
\url{http://icl.cs.utk.edu/lapack-forum}
\end{quote}
\item
-or send an email to the LAPACK mailing list:
+or send an email to the LAPACK mailing list:
\begin{list}{}{}
\item \href{mailto:lapack@cs.utk.edu}{\texttt{lapack@cs.utk.edu}}.
\end{list}
has two options: increase your stack size, or force all local variables
to be allocated statically.
-On HPPA architectures, the
+On HPPA architectures, the
compiler and loader flag \texttt{-K} should be used when compiling these testing
and timing main programs to avoid such a stack overflow. I.e., set
\texttt{DRVOPTS = -K} in the \texttt{LAPACK/make.inc} file.
\bibitem{LUG}
E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra,
J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney,
-S. Ostrouchov, and D. Sorensen,
+S. Ostrouchov, and D. Sorensen,
\textit{LAPACK Users' Guide}, Second Edition,
{SIAM}, Philadelphia, PA, 1995.
\bibitem{WN16}
E. Anderson and J. Dongarra,
-\textit{LAPACK Working Note 16:
+\textit{LAPACK Working Note 16:
Results from the Initial Release of LAPACK},
University of Tennessee, CS-89-89, November 1989.
\bibitem{WN41}
E. Anderson, J. Dongarra, and S. Ostrouchov,
-\textit{LAPACK Working Note 41:
+\textit{LAPACK Working Note 41:
Installation Guide for LAPACK},
University of Tennessee, CS-92-151, February 1992 (revised June 1999).
\bibitem{WN13}
Z. Bai, J. Demmel, and A. McKenney,
\textit{LAPACK Working Note \#13: On the Conditioning of the Nonsymmetric
-Eigenvalue Problem: Theory and Software},
+Eigenvalue Problem: Theory and Software},
University of Tennessee, CS-89-86, October 1989.
\bibitem{XBLAS}
and D. J. Yoo, \textit{Design, implementation and testing of extended
and mixed precision BLAS},
\textit{ACM Trans. Math. Soft.}, 28, 2:152--205, June 2002.
-
+
\bibitem{BLAS3}
J. Dongarra, J. Du Croz, I. Duff, and S. Hammarling,
``A Set of Level 3 Basic Linear Algebra Subprograms,''
include ../make.inc
-.SUFFIXES : .o .f
-all: testlsame testslamch testdlamch testsecond testdsecnd testieee testversion
+.SUFFIXES : .o .f
+all: testlsame testslamch testdlamch testsecond testdsecnd testieee testversion
testlsame: lsame.o lsametst.o
$(LOADER) $(LOADOPTS) -o testlsame lsame.o lsametst.o
clean:
rm -f *.o
-.f.o:
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
slamch.o: slamch.f ; $(FORTRAN) $(NOOPT) -c $< -o $@
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /sbin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /sbin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /sbin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = f77
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = xlf
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
# Note: During a regular execution, LAPACK might create NaN and Inf
-# and handle these quantities appropriately. As a consequence, one
+# and handle these quantities appropriately. As a consequence, one
# should not compile LAPACK with flags such as -ffpe-trap=overflow.
#
-FORTRAN = gfortran
+FORTRAN = gfortran
OPTS = -O2 -frecursive
DRVOPTS = $(OPTS)
NOOPT = -O0 -frecursive
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
# and desired load options for your machine.
#
# Note: During a regular execution, LAPACK might create NaN and Inf
-# and handle these quantities appropriately. As a consequence, one
+# and handle these quantities appropriately. As a consequence, one
# should not compile LAPACK with flags such as -ffpe-trap=overflow.
#
FORTRAN = gfortran -fimplicit-none -g -frecursive
# 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
+# 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 = NONE
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
DRVOPTS = $(OPTS)
NOOPT = -O0 -fp-model strict
LOADER = ifort
-LOADOPTS =
+LOADOPTS =
#
# Timer for the SECOND and DSECND routines
#
# 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
+# 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 = NONE
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = pgf95
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
FORTRAN = pghpf
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
#
include ../make.inc
-all: lapacke
+all: lapacke
lapacke:
cd include && cp lapacke_mangling_with_flags.h.in lapacke_mangling.h
lapacke_example:
cd example && $(MAKE)
-
+
clean: cleanlib
cleanlib:
-------------------------------------------------------------------------------
This library is a part of reference implementation for the C interface to
-LAPACK project according to the specifications described at the forum for
+LAPACK project according to the specifications described at the forum for
the Intel(R) Math Kernel Library (Intel(R) MKL):
http://software.intel.com/en-us/forums/showthread.php?t=61234
This implementation provides a native C interface to LAPACK routines available
-at www.netlib.org/lapack to facilitate usage of LAPACK functionality
+at www.netlib.org/lapack to facilitate usage of LAPACK functionality
for C programmers.
This implementation introduces:
-- row-major and column-major matrix layout controlled by the first function
+- row-major and column-major matrix layout controlled by the first function
parameter;
-- an implementation with working arrays (middle-level interface) as well as
+- an implementation with working arrays (middle-level interface) as well as
without working arrays (high-level interface);
- input scalars passed by value;
- error code as a return value instead of the INFO parameter.
-This implementation supports both the ILP64 and LP64 programming models,
+This implementation supports both the ILP64 and LP64 programming models,
and different complex type styles: structure, C99.
-This implementation includes interfaces for the LAPACK-3.2.1 Driver and
+This implementation includes interfaces for the LAPACK-3.2.1 Driver and
Computational routines only.
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
The reference code for the C interface to LAPACK is built similarly to the
-Basic Linear Algebra Subprograms (BLAS) and LAPACK. The build system produces
+Basic Linear Algebra Subprograms (BLAS) and LAPACK. The build system produces
a static binary lapacke.a.
You need to provide a make.inc file in the top directory that defines the
compiler, compiler flags, names for binaries to be created/linked to. You may
-choose the appropriate LP64/ILP64 model, convenient complex type style,
+choose the appropriate LP64/ILP64 model, convenient complex type style,
LAPACKE name pattern, and/or redefine system malloc/free in make.inc. Several
examples of make.inc are provided.
#define lapack_complex_float _lapack_complex_float
#define lapack_complex_double _lapack_complex_double
-3) C++ complex types (set by enabling in the configuration file):
+3) C++ complex types (set by enabling in the configuration file):
-DHAVE_LAPACK_CONFIG_H -DLAPACK_COMPLEX_CPP
#define lapack_complex_float std::complex<float>
-DLAPACK_COMPLEX_CUSTOM
To use custom complex types, you need to:
-- Define lapack_complex_float/lapack_complex_double types on your own.
+- Define lapack_complex_float/lapack_complex_double types on your own.
- Optionally define lapack_make_complex_float/lapack_make_complex_double_real
- functions if you want to build the testing suite supplied. Use these
+ functions if you want to build the testing suite supplied. Use these
functions for the testing system. Their purpose is to make a complex value of
a real part re, imaginary part im. The prototypes are as follows:
-------------------------------------------------------------------------------
Choosing ILP64 Data Model
-------------------------------------------------------------------------------
-To choose ILP64 data model (set by enabling in the configuration file), use the
+To choose ILP64 data model (set by enabling in the configuration file), use the
following options:
-DHAVE_LAPACK_CONFIG_H -DLAPACK_ILP64
Using Predicate Functions
-------------------------------------------------------------------------------
-The functions
+The functions
lapacke_?gees/lapacke_?gees_work
lapacke_?geesx/lapacke_?geesx_work
routine, if needed. Top-level interfaces additionally allocate/deallocate
working space on entry to and on exit from the LAPACK routine.
-Because of possible additional transpositions, a routine called with
-this interface may require more memory space and run slower than the
+Because of possible additional transpositions, a routine called with
+this interface may require more memory space and run slower than the
corresponding LAPACK routine.
-------------------------------------------------------------------------------
across different processor families. See
http://www.intel.com/products/processor_number for details.
-This document contains information on products in the design phase of
+This document contains information on products in the design phase of
development.
BunnyPeople, Celeron, Celeron Inside, Centrino, Centrino Atom,
all: xexample_DGESV_rowmajor \
xexample_DGESV_colmajor \
xexample_DGELS_rowmajor \
- xexample_DGELS_colmajor
+ xexample_DGELS_colmajor
-LIBRAIRIES= ../../$(LAPACKELIB) ../../$(LAPACKLIB) $(BLASLIB)
+LIBRAIRIES= ../../$(LAPACKELIB) ../../$(LAPACKLIB) $(BLASLIB)
# Double Precision Examples
xexample_DGESV_rowmajor: example_DGESV_rowmajor.o lapacke_example_aux.o $(LIBRAIRIES)
lapacke_chesvxx_work.o lapacke_dgbsvxx_work.o lapacke_dsysvxx_work.o lapacke_sposvxx_work.o lapacke_zgesvxx_work.o lapacke_zsysvxx_work.o
-# FILE PARTS OF TMGLIB
+# FILE PARTS OF TMGLIB
MATGEN_OBJ = \
lapacke_clatms.o \
lapacke_clatms_work.o \
lapacke_zlagsy.o \
lapacke_zlagsy_work.o
-ALLOBJ = $(SRC_OBJ) $(MATGEN_OBJ)
+ALLOBJ = $(SRC_OBJ) $(MATGEN_OBJ)
ifdef USEXBLAS
ALLXOBJ = $(SXLASRC) $(DXLASRC) $(CXLASRC) $(ZXLASRC)
include make.inc
-all: lapack_install lib blas_testing lapack_testing
+all: lapack_install lib blas_testing lapack_testing
lib: lapacklib tmglib
#lib: blaslib variants lapacklib tmglib
mv stest.out stest_lurec.out ; mv dtest.out dtest_lurec.out ; mv ctest.out ctest_lurec.out ; mv ztest.out ztest_lurec.out )
( cd TESTING ; rm -f xlintst* ; $(MAKE) VARLIB='SRC/VARIANTS/LIB/qrll.a' ; \
mv stest.out stest_qrll.out ; mv dtest.out dtest_qrll.out ; mv ctest.out ctest_qrll.out ; mv ztest.out ztest_qrll.out )
-
+
blas_testing:
( cd BLAS/TESTING; $(MAKE) -f Makeblat1 )
( cd BLAS; ./xblat1s > sblat1.out ; \
./xblat1d > dblat1.out ; \
./xblat1c > cblat1.out ; \
- ./xblat1z > zblat1.out )
+ ./xblat1z > zblat1.out )
( cd BLAS/TESTING; $(MAKE) -f Makeblat2 )
( cd BLAS; ./xblat2s < sblat2.in ; \
./xblat2d < dblat2.in ; \
( cd BLAS; ./xblat3s < sblat3.in ; \
./xblat3d < dblat3.in ; \
./xblat3c < cblat3.in ; \
- ./xblat3z < zblat3.in )
+ ./xblat3z < zblat3.in )
cblas_testing: blaslib
( cd CBLAS ; $(MAKE) cblas_testing)
html:
@echo "LAPACK HTML PAGES GENRATION with Doxygen"
doxygen DOCS/Doxyfile
- @echo "=================="
+ @echo "=================="
@echo "LAPACK HTML PAGES GENRATED in DOCS/explore-html"
@echo "Usage: open DOCS/explore-html/index.html"
@echo "Online version available at http://www.netlib.org/lapack/explore-html/"
( cd LAPACKE; $(MAKE) clean )
-cleanblas_testing:
+cleanblas_testing:
( cd BLAS/TESTING; $(MAKE) -f Makeblat1 clean )
( cd BLAS/TESTING; $(MAKE) -f Makeblat2 clean )
( cd BLAS/TESTING; $(MAKE) -f Makeblat3 clean )
( cd TESTING/EIG; $(MAKE) clean )
( cd TESTING; rm -f xlin* xeig* )
-cleanall: cleanlib cleanblas_testing cleancblas_testing cleantesting
+cleanall: cleanlib cleanblas_testing cleancblas_testing cleantesting
rm -f *.a TESTING/*.out INSTALL/test* BLAS/*.out
- LAPACK includes also the CMAKE build. You will need to have CMAKE installed
on your machine (CMAKE is available at http://www.cmake.org/). CMAKE will allow
an easy installation on a Windows Machine
- - Specific information to run LAPACK under Windows are available at
+ - Specific information to run LAPACK under Windows are available at
http://icl.cs.utk.edu/lapack-for-windows/lapack/
-
+
For further information on LAPACK please read our FAQ at
http://www.netlib.org/lapack/#_faq
A User forum is also available to help you with the LAPACK library at
http://icl.cs.utk.edu/lapack-forum/
================
-
-
+
+
================
LAPACK User Support
-
+
LAPACK has been thoroughly tested, on many different
types of computers. The LAPACK project supports the package in the
sense that reports of errors or poor performance will gain immediate
-attention from the developers. Such reports, descriptions
+attention from the developers. Such reports, descriptions
of interesting applications, and other comments should be sent by
electronic mail to lapack@cs.utk.edu.
A list of known problems, bugs, and compiler errors for LAPACK is
maintained on netlib.
http://www.netlib.org/lapack/release_notes.html
-
+
A User forum is also available to help you with the LAPACK library at
http://icl.cs.utk.edu/lapack-forum/
-You can also contact directly the LAPACK team at lapack@cs.utk.edu
+You can also contact directly the LAPACK team at lapack@cs.utk.edu
================
-
-
+
+
================
LAPACK TESTING
The complete package, including test code in four
A number of technical reports were written during the development of
LAPACK and published as LAPACK Working Notes, initially by Argonne
-National Laboratory and later by the University of Tennessee. Many of
+National Laboratory and later by the University of Tennessee. Many of
these reports later appeared as journal articles. Most of these working
notes are available in pdf and postscript form from netlib.
http://www.netlib.org/lapack/lawns/
# precision.
# ZLASRC -- Double precision complex LAPACK routines
# ZXLASRC -- Double precision complex LAPACK routines using extra
-# precision.
+# precision.
#
# DEPRECATED -- Deprecated routines in all precisions
#
sgeqrt.o sgeqrt2.o sgeqrt3.o sgemqrt.o \
stpqrt.o stpqrt2.o stpmqrt.o stprfb.o
-DSLASRC = spotrs.o sgetrs.o spotrf.o sgetrf.o
+DSLASRC = spotrs.o sgetrs.o spotrf.o sgetrf.o
ifdef USEXBLAS
SXLASRC = sgesvxx.o sgerfsx.o sla_gerfsx_extended.o sla_geamv.o \
cla_lin_berr.o clarscl2.o clascl2.o cla_wwaddw.o
endif
-ZCLASRC = cpotrs.o cgetrs.o cpotrf.o cgetrf.o
+ZCLASRC = cpotrs.o cgetrs.o cpotrf.o cgetrf.o
DLASRC = \
dpotrf2.o dgetrf2.o \
clean:
rm -f *.o DEPRECATED/*.o
-.f.o:
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
slaruv.o: slaruv.f ; $(FORTRAN) $(NOOPT) -c $< -o $@
# LUCR -- Crout Level 3 BLAS version of LU factorization
# LULL -- left-looking Level 3 BLAS version of LU factorization
# QRLL -- left-looking Level 3 BLAS version of QR factorization
-# LUREC -- an iterative version of Sivan Toledo's recursive LU algorithm[1].
+# LUREC -- an iterative version of Sivan Toledo's recursive LU algorithm[1].
# For square matrices, this iterative versions should
# be within a factor of two of the optimum number of memory transfers.
#
lurec: $(LUREC)
$(ARCH) $(ARCHFLAGS) $(VARIANTSDIR)/lurec.a $(LUREC)
$(RANLIB) $(VARIANTSDIR)/lurec.a
-
+
qrll: $(QRLL)
$(ARCH) $(ARCHFLAGS) $(VARIANTSDIR)/qrll.a $(QRLL)
$(RANLIB) $(VARIANTSDIR)/qrll.a
-.f.o:
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
-
+
clean:
rm -f $(CHOLRL) $(CHOLTOP) $(LUCR) $(LULL) $(LUREC) $(QRLL) \
$(VARIANTSDIR)/*.a
\ No newline at end of file
- Testing
- Linking your program
- Support
-
+
Author: Peng DU and Julie LANGOU, May 2008
===============
- [sdcz]geqrf with QR Left Looking Level 3 BLAS version algorithm [2]- Directory: SRC/VARIANTS/qr/LL
- [sdcz]potrf with Cholesky Right Looking Level 3 BLAS version algorithm [2]- Directory: SRC/VARIANTS/cholesky/RL
- [sdcz]potrf with Cholesky Top Level 3 BLAS version algorithm [2]- Directory: SRC/VARIANTS/cholesky/TOP
-
+
References:For a more detailed description please refer to
- [1] Toledo, S. 1997. Locality of Reference in LU Decomposition with Partial Pivoting. SIAM J. Matrix Anal. Appl. 18, 4 (Oct. 1997),
1065-1081. http://dx.doi.org/10.1137/S0895479896297744
- [2]LAWN XXX
-
+
=========
= BUILD =
=========
-
+
These variants are compiled by default in the build process but they are not tested by default.
The build process creates one new library per variants in the four arithmetics (singel/double/comple/double complex).
The libraries are in the SRC/VARIANTS/LIB directory.
- QR Left Looking : qrll.a
- Cholesky Right Looking : cholrl.a
- Cholesky Top : choltop.a
-
+
===========
= TESTING =
SCLNTST= slaord.o
-DZLNTST= dlaord.o
+DZLNTST= dlaord.o
SLINTST = schkaa.o \
schkeq.o schkgb.o schkge.o schkgt.o \
SLINTSTRFP = schkrfp.o sdrvrfp.o sdrvrf1.o sdrvrf2.o sdrvrf3.o sdrvrf4.o serrrfp.o \
slatb4.o slarhs.o sget04.o spot01.o spot03.o spot02.o \
- chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
+ chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
DLINTSTRFP = dchkrfp.o ddrvrfp.o ddrvrf1.o ddrvrf2.o ddrvrf3.o ddrvrf4.o derrrfp.o \
dlatb4.o dlarhs.o dget04.o dpot01.o dpot03.o dpot02.o \
- chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
+ chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
CLINTSTRFP = cchkrfp.o cdrvrfp.o cdrvrf1.o cdrvrf2.o cdrvrf3.o cdrvrf4.o cerrrfp.o \
claipd.o clatb4.o clarhs.o csbmv.o cget04.o cpot01.o cpot03.o cpot02.o \
- chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
+ chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
ZLINTSTRFP = zchkrfp.o zdrvrfp.o zdrvrf1.o zdrvrf2.o zdrvrf3.o zdrvrf4.o zerrrfp.o \
zlatb4.o zlaipd.o zlarhs.o zsbmv.o zget04.o zpot01.o zpot03.o zpot02.o \
- chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
+ chkxer.o xerbla.o alaerh.o aladhd.o alahd.o alasvm.o
all: single double complex complex16 proto-single proto-double proto-complex proto-complex16
single: ../xlintsts
-double: ../xlintstd
+double: ../xlintstd
complex: ../xlintstc
-complex16: ../xlintstz
+complex16: ../xlintstz
proto-single: ../xlintstrfs
proto-double: ../xlintstds ../xlintstrfd
xlintstc : $(ALINTST) $(CLINTST) $(SCLNTST) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(ALINTST) $(SCLNTST) $(CLINTST) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(XBLASLIB) $(BLASLIB) -o $@
-
+
xlintstd : $(ALINTST) $(DLINTST) $(DZLNTST) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $^ \
../../$(TMGLIB) ../../$(LAPACKLIB) $(XBLASLIB) $(BLASLIB) -o $@
-
+
xlintstz : $(ALINTST) $(ZLINTST) $(DZLNTST) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(ALINTST) $(DZLNTST) $(ZLINTST) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(XBLASLIB) $(BLASLIB) -o $@
-
+
xlintstds : $(DSLINTST) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(DSLINTST) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(BLASLIB) -o $@
-
+
xlintstzc : $(ZCLINTST) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(ZCLINTST) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(BLASLIB) -o $@
-
+
xlintstrfs : $(SLINTSTRFP) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(SLINTSTRFP) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(BLASLIB) -o $@
-
+
xlintstrfd : $(DLINTSTRFP) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(DLINTSTRFP) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(BLASLIB) -o $@
-
+
xlintstrfc : $(CLINTSTRFP) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(CLINTSTRFP) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(BLASLIB) -o $@
-
+
xlintstrfz : $(ZLINTSTRFP) ../../$(LAPACKLIB)
$(LOADER) $(LOADOPTS) $(ZLINTSTRFP) \
../../$(TMGLIB) ../../$(LAPACKLIB) $(BLASLIB) -o $@
-
+
../xlintsts: xlintsts
mv xlintsts $@
FRC:
@FRC=$(FRC)
-
+
clean:
rm -f *.o
$(FORTRAN) $(DRVOPTS) -c $< -o $@
zchkaa.o: zchkaa.f
$(FORTRAN) $(DRVOPTS) -c $< -o $@
-
-.f.o:
+
+.f.o:
$(FORTRAN) $(OPTS) -c $< -o $@
.NOTPARALLEL:
# make single FRC=FRC
#
#######################################################################
-
+
SCATGEN = slatm1.o slaran.o slarnd.o
SMATGEN = slatms.o slatme.o slatmr.o slatmt.o \
$(DZATGEN): $(FRC)
$(DMATGEN): $(FRC)
$(ZMATGEN): $(FRC)
-
+
FRC:
@FRC=$(FRC)
0.1000E+01 0.2000E+01 0.3000E+01 0.4000E+01 0.5000E+01
(0.10000E+01,0.00000E+00) (0.00000E+00,0.00000E+00) (0.00000E+00,0.00000E+00)
-(0.00000E+00,0.00000E+00) (0.00000E+00,0.00000E+00)
+(0.00000E+00,0.00000E+00) (0.00000E+00,0.00000E+00)
(0.00000E+00,0.00000E+00) (0.10000E+01,0.00000E+00) (0.00000E+00,0.00000E+00)
-(0.00000E+00,0.00000E+00) (0.00000E+00,0.00000E+00)
+(0.00000E+00,0.00000E+00) (0.00000E+00,0.00000E+00)
(0.00000E+00,0.00000E+00) (0.00000E+00,0.00000E+00) (0.10000E+01,0.00000E+00)
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-0 0 0
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CBL: Tests CGEBAL
5
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1 1
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5
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7
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4 0
-( 7.0000E+00, 0.0000E+00)
-( 3.0000E+00, 0.0000E+00)
-( 1.0000E+00, 2.0000E+00)
+( 7.0000E+00, 0.0000E+00)
+( 3.0000E+00, 0.0000E+00)
+( 1.0000E+00, 2.0000E+00)
(-1.0000E+00, 2.0000E+00)
-( 3.0000E+00, 0.0000E+00)
-( 7.0000E+00, 0.0000E+00)
-( 1.0000E+00,-2.0000E+00)
+( 3.0000E+00, 0.0000E+00)
+( 7.0000E+00, 0.0000E+00)
+( 1.0000E+00,-2.0000E+00)
+(-1.0000E+00,-2.0000E+00)
+( 1.0000E+00,-2.0000E+00)
+( 1.0000E+00, 2.0000E+00)
+( 7.0000E+00, 0.0000E+00)
+(-3.0000E+00, 0.0000E+00)
(-1.0000E+00,-2.0000E+00)
-( 1.0000E+00,-2.0000E+00)
-( 1.0000E+00, 2.0000E+00)
-( 7.0000E+00, 0.0000E+00)
+(-2.0000E+00, 2.0000E+00)
(-3.0000E+00, 0.0000E+00)
-(-1.0000E+00,-2.0000E+00)
-(-2.0000E+00, 2.0000E+00)
-(-3.0000E+00, 0.0000E+00)
( 7.0000E+00, 0.0000E+00)
-8.0767E-03 -2.5211E-01 9.9864E-01 7.7961E+00
7.7723E+00 2.4349E-01 7.0272E-01 3.3337E-01
8.0000E+00 -3.4273E-07 7.0711E-01 3.3337E-01
1.2236E+01 8.6188E-03 9.9021E-01 3.9429E+00
5 0
-( 1.0000E+00, 2.0000E+00)
-( 3.0000E+00, 4.0000E+00)
-( 2.1000E+01, 2.2000E+01)
-( 2.3000E+01, 2.4000E+01)
+( 1.0000E+00, 2.0000E+00)
+( 3.0000E+00, 4.0000E+00)
+( 2.1000E+01, 2.2000E+01)
+( 2.3000E+01, 2.4000E+01)
( 4.1000E+01, 4.2000E+01)
-( 4.3000E+01, 4.4000E+01)
-( 1.3000E+01, 1.4000E+01)
-( 1.5000E+01, 1.6000E+01)
-( 3.3000E+01, 3.4000E+01)
+( 4.3000E+01, 4.4000E+01)
+( 1.3000E+01, 1.4000E+01)
+( 1.5000E+01, 1.6000E+01)
+( 3.3000E+01, 3.4000E+01)
( 3.5000E+01, 3.6000E+01)
-( 5.0000E+00, 6.0000E+00)
-( 7.0000E+00, 8.0000E+00)
-( 2.5000E+01, 2.6000E+01)
-( 2.7000E+01, 2.8000E+01)
+( 5.0000E+00, 6.0000E+00)
+( 7.0000E+00, 8.0000E+00)
+( 2.5000E+01, 2.6000E+01)
+( 2.7000E+01, 2.8000E+01)
( 4.5000E+01, 4.6000E+01)
-( 4.7000E+01, 4.8000E+01)
-( 1.7000E+01, 1.8000E+01)
-( 1.9000E+01, 2.0000E+01)
-( 3.7000E+01, 3.8000E+01)
+( 4.7000E+01, 4.8000E+01)
+( 1.7000E+01, 1.8000E+01)
+( 1.9000E+01, 2.0000E+01)
+( 3.7000E+01, 3.8000E+01)
( 3.9000E+01, 4.0000E+01)
-( 9.0000E+00, 1.0000E+01)
-( 1.1000E+01, 1.2000E+01)
-( 2.9000E+01, 3.0000E+01)
-( 3.1000E+01, 3.2000E+01)
+( 9.0000E+00, 1.0000E+01)
+( 1.1000E+01, 1.2000E+01)
+( 2.9000E+01, 3.0000E+01)
+( 3.1000E+01, 3.2000E+01)
( 4.9000E+01, 5.0000E+01)
-9.4600E+00 7.2802E+00 3.1053E-01 1.1937E+01
-7.7912E-06 -1.2743E-05 2.9408E-01 1.6030E-05
7.0733E+00 -9.5584E+00 3.0911E-01 1.1891E+01
1.2739E+02 1.3228E+02 9.2770E-01 1.2111E+02
3 0
-( 1.0000E+00, 1.0000E+00)
-(-1.0000E+00,-1.0000E+00)
+( 1.0000E+00, 1.0000E+00)
+(-1.0000E+00,-1.0000E+00)
( 2.0000E+00, 2.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 1.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 1.0000E+00)
( 2.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-(-1.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+(-1.0000E+00, 0.0000E+00)
( 3.0000E+00, 1.0000E+00)
1.0000E+00 1.0000E+00 3.0151E-01 0.0000E+00
1.0000E+00 1.0000E+00 3.1623E-01 0.0000E+00
2.0000E+00 1.0000E+00 2.2361E-01 1.0000E+00
4 1
-(-4.0000E+00,-2.0000E+00)
-(-5.0000E+00,-6.0000E+00)
-(-2.0000E+00,-6.0000E+00)
+(-4.0000E+00,-2.0000E+00)
+(-5.0000E+00,-6.0000E+00)
+(-2.0000E+00,-6.0000E+00)
( 0.0000E+00,-2.0000E+00)
-( 1.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
+( 1.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 1.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 1.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 1.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 1.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
-9.9883E-01 -1.0006E+00 1.3180E-04 2.4106E-04
-1.0012E+00 -9.9945E-01 1.3140E-04 2.4041E-04
-9.9947E-01 -6.8325E-04 1.3989E-04 8.7487E-05
-1.0005E+00 6.8556E-04 1.4010E-04 8.7750E-05
7 0
-( 2.0000E+00, 4.0000E+00)
-( 1.0000E+00, 1.0000E+00)
-( 6.0000E+00, 2.0000E+00)
-( 3.0000E+00, 3.0000E+00)
-( 5.0000E+00, 5.0000E+00)
-( 2.0000E+00, 6.0000E+00)
+( 2.0000E+00, 4.0000E+00)
( 1.0000E+00, 1.0000E+00)
-( 1.0000E+00, 2.0000E+00)
-( 1.0000E+00, 3.0000E+00)
-( 3.0000E+00, 1.0000E+00)
-( 5.0000E+00,-4.0000E+00)
-( 1.0000E+00, 1.0000E+00)
-( 7.0000E+00, 2.0000E+00)
+( 6.0000E+00, 2.0000E+00)
+( 3.0000E+00, 3.0000E+00)
+( 5.0000E+00, 5.0000E+00)
+( 2.0000E+00, 6.0000E+00)
+( 1.0000E+00, 1.0000E+00)
+( 1.0000E+00, 2.0000E+00)
+( 1.0000E+00, 3.0000E+00)
+( 3.0000E+00, 1.0000E+00)
+( 5.0000E+00,-4.0000E+00)
+( 1.0000E+00, 1.0000E+00)
+( 7.0000E+00, 2.0000E+00)
( 2.0000E+00, 3.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 3.0000E+00,-2.0000E+00)
-( 1.0000E+00, 1.0000E+00)
-( 6.0000E+00, 3.0000E+00)
-( 2.0000E+00, 1.0000E+00)
-( 1.0000E+00, 4.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 3.0000E+00,-2.0000E+00)
+( 1.0000E+00, 1.0000E+00)
+( 6.0000E+00, 3.0000E+00)
+( 2.0000E+00, 1.0000E+00)
+( 1.0000E+00, 4.0000E+00)
( 2.0000E+00, 1.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 2.0000E+00, 3.0000E+00)
-( 3.0000E+00, 1.0000E+00)
-( 1.0000E+00, 2.0000E+00)
-( 2.0000E+00, 2.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 2.0000E+00, 3.0000E+00)
+( 3.0000E+00, 1.0000E+00)
+( 1.0000E+00, 2.0000E+00)
+( 2.0000E+00, 2.0000E+00)
+( 3.0000E+00, 1.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 2.0000E+00,-1.0000E+00)
+( 2.0000E+00, 2.0000E+00)
( 3.0000E+00, 1.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 2.0000E+00,-1.0000E+00)
-( 2.0000E+00, 2.0000E+00)
-( 3.0000E+00, 1.0000E+00)
( 1.0000E+00, 3.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 1.0000E+00,-1.0000E+00)
-( 2.0000E+00, 1.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 1.0000E+00,-1.0000E+00)
+( 2.0000E+00, 1.0000E+00)
( 2.0000E+00, 2.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 2.0000E+00,-2.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 2.0000E+00,-2.0000E+00)
( 1.0000E+00, 1.0000E+00)
-2.7081E+00 -2.8029E+00 6.9734E-01 3.9279E+00
-1.1478E+00 8.0176E-01 6.5772E-01 9.4243E-01
5.3138E+00 1.2242E+00 3.0213E-01 7.1268E-01
8.2674E+00 3.7047E+00 2.8270E-01 3.2849E+00
5 1
-( 0.0000E+00, 5.0000E+00)
-( 1.0000E+00, 2.0000E+00)
-( 2.0000E+00, 3.0000E+00)
-(-3.0000E+00, 6.0000E+00)
+( 0.0000E+00, 5.0000E+00)
+( 1.0000E+00, 2.0000E+00)
+( 2.0000E+00, 3.0000E+00)
+(-3.0000E+00, 6.0000E+00)
( 6.0000E+00, 0.0000E+00)
-(-1.0000E+00, 2.0000E+00)
-( 0.0000E+00, 6.0000E+00)
-( 4.0000E+00, 5.0000E+00)
-(-3.0000E+00,-2.0000E+00)
+(-1.0000E+00, 2.0000E+00)
+( 0.0000E+00, 6.0000E+00)
+( 4.0000E+00, 5.0000E+00)
+(-3.0000E+00,-2.0000E+00)
( 5.0000E+00, 0.0000E+00)
-(-2.0000E+00, 3.0000E+00)
-(-4.0000E+00, 5.0000E+00)
-( 0.0000E+00, 7.0000E+00)
-( 3.0000E+00, 0.0000E+00)
+(-2.0000E+00, 3.0000E+00)
+(-4.0000E+00, 5.0000E+00)
+( 0.0000E+00, 7.0000E+00)
+( 3.0000E+00, 0.0000E+00)
( 2.0000E+00, 0.0000E+00)
-( 3.0000E+00, 6.0000E+00)
-( 3.0000E+00,-2.0000E+00)
-(-3.0000E+00, 0.0000E+00)
-( 0.0000E+00,-5.0000E+00)
+( 3.0000E+00, 6.0000E+00)
+( 3.0000E+00,-2.0000E+00)
+(-3.0000E+00, 0.0000E+00)
+( 0.0000E+00,-5.0000E+00)
( 2.0000E+00, 1.0000E+00)
-(-6.0000E+00, 0.0000E+00)
-(-5.0000E+00, 0.0000E+00)
-(-2.0000E+00, 0.0000E+00)
-(-2.0000E+00, 1.0000E+00)
+(-6.0000E+00, 0.0000E+00)
+(-5.0000E+00, 0.0000E+00)
+(-2.0000E+00, 0.0000E+00)
+(-2.0000E+00, 1.0000E+00)
( 0.0000E+00, 2.0000E+00)
-4.1735E-08 -1.0734E+01 1.0000E+00 7.7345E+00
-2.6397E-07 -2.9991E+00 1.0000E+00 4.5989E+00
-4.4369E-07 9.3159E+00 1.0000E+00 7.7161E+00
4.0937E-09 1.7817E+01 1.0000E+00 8.5013E+00
3 0
-( 2.0000E+00, 0.0000E+00)
-( 0.0000E+00,-1.0000E+00)
+( 2.0000E+00, 0.0000E+00)
+( 0.0000E+00,-1.0000E+00)
+( 0.0000E+00, 0.0000E+00)
+( 0.0000E+00, 1.0000E+00)
+( 2.0000E+00, 0.0000E+00)
+( 0.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 1.0000E+00)
-( 2.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
-( 0.0000E+00, 0.0000E+00)
( 3.0000E+00, 0.0000E+00)
1.0000E+00 0.0000E+00 1.0000E+00 2.0000E+00
3.0000E+00 0.0000E+00 1.0000E+00 0.0000E+00
(-0.5000E+01,-0.5000E+01) (-0.5000E+01,-0.5000E+01) (-0.5000E+01,-0.5000E+01)
(-0.6000E+01,-0.6000E+01) (-0.6000E+01,-0.6000E+01) (-0.6000E+01,-0.6000E+01)
-0 0
+0 0
0.2000E+01 0.2000E+01 0.1000E+01 0.1000E+01 0.5000E+01 0.5000E+01
-0
+0
CGV Data for the Complex Nonsymmetric Eigenvalue Driver
6 Number of matrix dimensions
-2 6 8 10 12 20 Matrix dimensions
+2 6 8 10 12 20 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
CGV 26 Test all 26 matrix types
CGS Data for the Complex Nonsymmetric Schur Form Driver
5 Number of matrix dimensions
-2 6 10 12 20 30 Matrix dimensions
+2 6 10 12 20 30 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
- 4
+ 4
2
( 2.0000E+00, 6.0000E+00)
( 2.0000E+00, 5.0000E+00)
-( 3.0000E+00,-1.0000E+01)
+( 3.0000E+00,-1.0000E+01)
( 4.0000E+00, 7.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 9.0000E+00, 2.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 1.0000E+01,-1.6000E+01)
-(-9.0000E+00, 1.0000E+00)
+(-9.0000E+00, 1.0000E+00)
(-1.0000E+00,-8.0000E+00)
(-1.0000E+00, 1.0000E+01)
( 2.0000E+00,-6.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 8.0000E+00, 4.0000E+00)
7.6883E-02 2.1007E-01 Condition #'s for cluster selected from lower 2x2
- 4
+ 4
2
( 1.0000E+00, 8.0000E+00)
( 2.0000E+00, 4.0000E+00)
( 3.0000E+00,-1.3000E+01)
-( 4.0000E+00, 4.0000E+00)
+( 4.0000E+00, 4.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 5.0000E+00, 7.0000E+00)
( 6.0000E+00,-2.4000E+01)
4
( 2.0000E+00, 6.0000E+00)
( 2.0000E+00, 5.0000E+00)
-( 3.0000E+00,-1.0000E+01)
+( 3.0000E+00,-1.0000E+01)
( 4.0000E+00, 7.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 9.0000E+00, 2.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 1.0000E+01,-1.6000E+01)
-(-9.0000E+00, 1.0000E+00)
+(-9.0000E+00, 1.0000E+00)
(-1.0000E+00,-8.0000E+00)
(-1.0000E+00, 1.0000E+01)
( 2.0000E+00,-6.0000E+00)
( 8.0000E+00, 4.0000E+00)
5.2612E+00 8.0058E-01 1.4032E+00 4.0073E+00 condition #'s for eigenvalues
1.1787E+00 3.3139E+00 1.1835E+00 2.0777E+00 condition #'s for eigenvectors
- 4
+ 4
( 1.0000E+00, 8.0000E+00)
( 2.0000E+00, 4.0000E+00)
( 3.0000E+00,-1.3000E+01)
-( 4.0000E+00, 4.0000E+00)
+( 4.0000E+00, 4.0000E+00)
( 0.0000E+00, 0.0000E+00)
( 5.0000E+00, 7.0000E+00)
( 6.0000E+00,-2.4000E+01)
0.0000D+00 -0.2734D-02 -0.7946D-02 0.6303D-02 0.1000D-01 -0.6279D-02
0.1000D-01
- 0 0 0
+ 0 0 0
-2.0000D+06 3.0000D+00 4.0000D-06 3.0000D-06
-1.5000D+06 0.0000D-03 1.0000D-06 1.0000D+00
1.0000D+06 0.0000D-03 6.0000D-06 4.0000D+06
-
+
1.0000D+00 1.0000D+00 2.0000D+00 1.0000D+00
-
+
4
0.1000D+01 0.1000D+05 0.1000D+05 0.1000D+05
-0.2000D+05 0.3000D+01 0.2000D-02 0.3000D-02
0.0000D-03 0.0000D-03 20.0000D+03 0.0000D-03
1.0000D+00 1.0000D+00 1.0000D+00 500.0000D-03
-
+
5
0.1000D+01 0.5120D+03 0.4096D+04 3.2768D+04 2.62144D+05
0.8000D+01 0.0000D+00 0.0000D+00 0.0000D+00 0.0000D+00
0.5000D+02 0.5000D+02
0.6000D+02 0.6000D+02
-0 0
+0 0
DGS Data for the Real Nonsymmetric Schur Form Driver
5 Number of matrix dimensions
-2 6 10 12 20 30 Matrix dimensions
+2 6 10 12 20 30 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
DGS 26 Test all 26 matrix types
DGV Data for the Real Nonsymmetric Eigenvalue Problem Driver
6 Number of matrix dimensions
-2 6 8 10 15 20 Matrix dimensions
+2 6 8 10 15 20 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold value
.TRUE. Put T to test the error exits
0 Code to interpret the seed
DGV 26 Test all 26 matrix types
-DGX Data for the Real Nonsymmetric Schur Form Expert Driver
+DGX Data for the Real Nonsymmetric Schur Form Expert Driver
2 Largest matrix dimension (0 <= NSIZE <= 5)
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
-DGX Data for the Real Nonsymmetric Schur Form Expert Driver
+DGX Data for the Real Nonsymmetric Schur Form Expert Driver
0 Largest matrix dimension
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
- 4
+ 4
2
8.0000D+00 4.0000D+00 -1.3000D+01 4.0000D+00 Input matrix A
0.0000D+00 7.0000D+00 -2.4000D+01 -3.0000D+00
0.0000D+00 0.0000D+00 -1.1000D+01 6.0000D+00
0.0000D+00 0.0000D+00 0.0000D+00 4.0000D+00
2.5901D-01 1.7592D+00 Condition #'s for cluster selected from lower 2x2
- 4
+ 4
2
1.0000D+00 2.0000D+00 3.0000D+00 4.0000D+00 Input matrix A
0.0000D+00 5.0000D+00 6.0000D+00 7.0000D+00
0.0000D+00 0.0000D+00 0.0000D+00 1.0000D+00
9.8173D-01 6.3649D-01 Condition #'s for cluster selected from lower 2x2
0
-DXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
+DXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
5 Largest matrix dimension
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
-DXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
+DXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
0 Largest matrix dimension
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
GLM: Data file for testing Generalized Linear Regression Model routines
6 Number of values of M, P, and N
-0 5 8 15 20 40 Values of M (row dimension)
-9 0 15 12 15 30 Values of P (row dimension)
+0 5 8 15 20 40 Values of M (row dimension)
+9 0 15 12 15 30 Values of P (row dimension)
5 5 10 25 30 40 Values of N (col dimension), M <= N <= M+P
20.0 Threshold value of test ratio
T Put T to test the error exits
1 Code to interpret the seed
-GLM 8 List types on next line if 0 < NTYPES < 8
+GLM 8 List types on next line if 0 < NTYPES < 8
GQR: Data file for testing Generalized QR and RQ routines
3 Number of values of M, P and N
-0 3 10 Values of M
-0 5 20 Values of P
+0 3 10 Values of M
+0 5 20 Values of P
0 3 30 Values of N
20.0 Threshold value of test ratio
T Put T to test the error exits
1 Code to interpret the seed
-GQR 8 List types on next line if 0 < NTYPES < 8
+GQR 8 List types on next line if 0 < NTYPES < 8
LSE: Data file for testing Constrained Linear Least Squares routines
6 Number of values of M, P, and N
-6 0 5 8 10 30 Values of M
-0 5 5 5 8 20 Values of P
+6 0 5 8 10 30 Values of M
+0 5 5 5 8 20 Values of P
5 5 6 8 12 40 Values of N, note P<= N <= P+M
20.0 Threshold value of test ratio
T Put T to test the error exits
0.0000E+00 -0.2734E-02 -0.7946E-02 0.6303E-02 0.1000E-01 -0.6279E-02
0.1000E-01
- 0 0 0
+ 0 0 0
-2.0000E+06 3.0000E+00 4.0000E-06 3.0000E-06
-1.5000E+06 0.0000E-03 1.0000E-06 1.0000E+00
1.0000E+06 0.0000E-03 6.0000E-06 4.0000E+06
-
+
1.0000E+00 1.0000E+00 2.0000E+00 1.0000E+00
-
+
4
0.1000E+01 0.1000E+05 0.1000E+05 0.1000E+05
-0.2000E+05 0.3000E+01 0.2000E-02 0.3000E-02
0.0000E-03 0.0000E-03 20.0000E+03 0.0000E-03
1.0000E+00 1.0000E+00 1.0000E+00 500.0000E-03
-
+
5
0.1000E+01 0.5120E+03 0.4096E+04 3.2768E+04 2.62144E+05
0.8000E+01 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
5.0706024E+30 3.6028797E+16 1.2800000E+02 2.2737368E-13 2.0194839E-28
-
+
0
0.5000E+02 0.5000E+02
0.6000E+02 0.6000E+02
-0 0
+0 0
SGS Data for the Real Nonsymmetric Schur Form Driver
5 Number of matrix dimensions
-2 6 10 12 20 30 Matrix dimensions
+2 6 10 12 20 30 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
SGS 26 Test all 26 matrix types
SGV Data for the Real Nonsymmetric Eigenvalue Problem Driver
6 Number of matrix dimensions
-2 6 8 10 15 20 Matrix dimensions
+2 6 8 10 15 20 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold value
.TRUE. Put T to test the error exits
0 Code to interpret the seed
SGV 26 Test all 26 matrix types
-SGX Data for the Real Nonsymmetric Schur Form Expert Driver
+SGX Data for the Real Nonsymmetric Schur Form Expert Driver
2 Largest matrix dimension (0 <= NSIZE <= 5)
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
-SGX Data for the Real Nonsymmetric Schur Form Expert Driver
+SGX Data for the Real Nonsymmetric Schur Form Expert Driver
0 Largest matrix dimension (0 <= NSIZE <= 5)
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
- 4
+ 4
2
8.0000E+00 4.0000E+00 -1.3000E+01 4.0000E+00 Input matrix A
0.0000E+00 7.0000E+00 -2.4000E+01 -3.0000E+00
0.0000E+00 0.0000E+00 -1.1000E+01 6.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 4.0000E+00
2.5901E-01 1.7592E+00 Condition #'s for cluster selected from lower 2x2
- 4
+ 4
2
1.0000E+00 2.0000E+00 3.0000E+00 4.0000E+00 Input matrix A
0.0000E+00 5.0000E+00 6.0000E+00 7.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 1.0000E+00
9.8173E-01 6.3649E-01 Condition #'s for cluster selected from lower 2x2
0
-SXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
+SXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
5 Largest matrix dimension
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
-SXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
+SXV Data for the Real Nonsymmetric Eigenvalue Expert Driver
0 Largest matrix dimension
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
0.1000D+01 0.2000D+01 0.3000D+01 0.4000D+01 0.5000D+01
(0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
(0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
5 1 1
0.1000D+01 0.2000D+01 0.3000D+01 0.2000D+01 0.1000D+01
(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
-(-.66667D+00,0.00000D+00) (-.41667D-01,0.00000D+00)
+(-.66667D+00,0.00000D+00) (-.41667D-01,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.25000D+00,0.00000D+00) (-.66667D+00,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.16667D+00,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.16667D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.22222D+00,0.00000D+00)
-(-.10000D+01,0.00000D+00) (-.50000D+00,0.00000D+00)
+(-.10000D+01,0.00000D+00) (-.50000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.50000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.50000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (-.10000D+01,0.00000D+00)
+(0.00000D+00,0.00000D+00) (-.10000D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (-.10000D+01,0.00000D+00)
+(0.00000D+00,0.00000D+00) (-.10000D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.50000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.50000D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.22222D+00,0.00000D+00)
-(-.10000D+01,0.00000D+00) (-.50000D+00,0.00000D+00)
+(-.10000D+01,0.00000D+00) (-.50000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.25000D+00,0.00000D+00) (-.66667D+00,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.16667D+00,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.16667D+00,0.00000D+00)
(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
-(-.66667D+00,0.00000D+00) (-.41667D-01,0.00000D+00)
+(-.66667D+00,0.00000D+00) (-.41667D-01,0.00000D+00)
5 1 1
0.1000D+01 0.2000D+01 0.3000D+01 0.2000D+01 0.1000D+01
(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.60000D-17,0.00000D+00) (-.60000D-17,0.00000D+00)
-(-.60000D-17,0.00000D+00) (-.60000D-17,0.00000D+00)
+(-.60000D-17,0.00000D+00) (-.60000D-17,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.36000D-34,0.00000D+00)
-(0.36000D-34,0.00000D+00) (0.36000D-34,0.00000D+00)
+(0.36000D-34,0.00000D+00) (0.36000D-34,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.36000D-34,0.00000D+00)
-(0.36000D-34,0.00000D+00) (0.36000D-34,0.00000D+00)
+(0.36000D-34,0.00000D+00) (0.36000D-34,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.60000D-17,0.00000D+00) (-.60000D-17,0.00000D+00)
-(-.60000D-17,0.00000D+00) (-.60000D-17,0.00000D+00)
+(-.60000D-17,0.00000D+00) (-.60000D-17,0.00000D+00)
(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00)
6 4 6
0.4000D+01 0.3000D+01 0.5000D+01 0.1000D+03 0.1000D+00 0.1000D+01
0.1000D+03 0.1000D+00 0.1000D-01 0.1000D+01 0.1000D+02
(0.13663D-03,0.00000D+00) (-.68290D-04,0.00000D+00) (0.12516D-03,0.00000D+00)
-(0.10000D+01,0.00000D+00) (0.19503D-14,0.00000D+00)
+(0.10000D+01,0.00000D+00) (0.19503D-14,0.00000D+00)
(0.10000D+01,0.00000D+00) (0.10000D+01,0.00000D+00) (-.27756D-16,0.00000D+00)
-(0.36012D-05,0.00000D+00) (-.60728D-17,0.00000D+00)
+(0.36012D-05,0.00000D+00) (-.60728D-17,0.00000D+00)
(0.27355D+00,0.00000D+00) (-.13627D+00,0.00000D+00) (0.25030D+00,0.00000D+00)
-(-.33221D-05,0.00000D+00) (-.20000D-02,0.00000D+00)
+(-.33221D-05,0.00000D+00) (-.20000D-02,0.00000D+00)
(0.69088D-02,0.00000D+00) (-.34434D-02,0.00000D+00) (0.61959D-02,0.00000D+00)
-(0.16661D-01,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.16661D-01,0.00000D+00) (0.10000D+01,0.00000D+00)
(0.38988D+00,0.00000D+00) (-.20327D+00,0.00000D+00) (-.34200D+00,0.00000D+00)
-(-.10000D-02,0.00000D+00) (0.60004D-14,0.00000D+00)
+(-.10000D-02,0.00000D+00) (0.60004D-14,0.00000D+00)
(0.13663D-01,0.00000D+00) (-.68290D-02,0.00000D+00) (0.12516D-01,0.00000D+00)
-(0.10000D+03,0.00000D+00) (0.19503D-12,0.00000D+00)
+(0.10000D+03,0.00000D+00) (0.19503D-12,0.00000D+00)
(0.10000D+00,0.00000D+00) (0.10000D+00,0.00000D+00) (-.27756D-17,0.00000D+00)
-(0.36012D-06,0.00000D+00) (-.60728D-18,0.00000D+00)
+(0.36012D-06,0.00000D+00) (-.60728D-18,0.00000D+00)
(0.27355D-02,0.00000D+00) (-.13627D-02,0.00000D+00) (0.25030D-02,0.00000D+00)
-(-.33221D-07,0.00000D+00) (-.20000D-04,0.00000D+00)
+(-.33221D-07,0.00000D+00) (-.20000D-04,0.00000D+00)
(0.69088D-02,0.00000D+00) (-.34434D-02,0.00000D+00) (0.61959D-02,0.00000D+00)
-(0.16661D-01,0.00000D+00) (0.10000D+01,0.00000D+00)
+(0.16661D-01,0.00000D+00) (0.10000D+01,0.00000D+00)
(0.38988D+01,0.00000D+00) (-.20327D+01,0.00000D+00) (-.34200D+01,0.00000D+00)
-(-.10000D-01,0.00000D+00) (0.60004D-13,0.00000D+00)
+(-.10000D-01,0.00000D+00) (0.60004D-13,0.00000D+00)
6 2 5
0.3000D+01 0.1000D+01 0.1000D+01 0.1000D+01 0.1000D+01 0.4000D+01
(0.10000D+01,0.00000D+00) (-.11048D-01,0.00000D+00) (0.37942D-01,0.00000D+00)
(-.93781D-01,0.00000D+00) (-.34815D-01,0.00000D+00) (0.44651D+00,0.00000D+00)
-(-.36016D-01,0.00000D+00)
+(-.36016D-01,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.45564D+00,0.00000D+00) (-.45447D+00,0.00000D+00)
(0.10000D+01,0.00000D+00) (0.46394D+00,0.00000D+00) (-.65116D+00,0.00000D+00)
-(0.47808D+00,0.00000D+00)
+(0.47808D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.27336D+00,0.00000D+00) (-.79459D+00,0.00000D+00)
(0.63028D+00,0.00000D+00) (0.10000D+01,0.00000D+00) (-.62791D+00,0.00000D+00)
-(0.10000D+01,0.00000D+00)
+(0.10000D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.10000D+01,0.00000D+00) (-.69389D-17,0.00000D+00)
(0.42585D-01,0.00000D+00) (-.64954D+00,0.00000D+00) (-.55814D+00,0.00000D+00)
-(-.64516D+00,0.00000D+00)
+(-.64516D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.39041D+00,0.00000D+00) (-.40294D+00,0.00000D+00)
(-.16849D+00,0.00000D+00) (-.94294D+00,0.00000D+00) (0.10000D+01,0.00000D+00)
-(-.93714D+00,0.00000D+00)
+(-.93714D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (-.25581D+00,0.00000D+00)
(0.33085D-03,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (-.25581D+00,0.00000D+00)
-(0.33085D-03,0.00000D+00)
+(0.33085D-03,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.45564D-03,0.00000D+00) (-.45447D-03,0.00000D+00)
(0.10000D-02,0.00000D+00) (0.46394D-03,0.00000D+00) (-.65116D-03,0.00000D+00)
-(0.47808D-03,0.00000D+00)
+(0.47808D-03,0.00000D+00)
(0.10000D+01,0.00000D+00) (-.11048D-01,0.00000D+00) (0.37942D-01,0.00000D+00)
(-.93781D-01,0.00000D+00) (-.34815D-01,0.00000D+00) (0.44651D+00,0.00000D+00)
-(-.36016D-01,0.00000D+00)
+(-.36016D-01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.10000D+02,0.00000D+00) (-.69389D-16,0.00000D+00)
(0.42585D+00,0.00000D+00) (-.64954D+01,0.00000D+00) (-.55814D+01,0.00000D+00)
-(-.64516D+01,0.00000D+00)
+(-.64516D+01,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.39041D-01,0.00000D+00) (-.40294D-01,0.00000D+00)
(-.16849D-01,0.00000D+00) (-.94294D-01,0.00000D+00) (0.10000D+00,0.00000D+00)
-(-.93714D-01,0.00000D+00)
+(-.93714D-01,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(-.19851D-02,0.00000D+00)
+(-.19851D-02,0.00000D+00)
(0.00000D+00,0.00000D+00) (-.27336D-02,0.00000D+00) (-.79459D-02,0.00000D+00)
(0.63028D-02,0.00000D+00) (0.10000D-01,0.00000D+00) (-.62791D-02,0.00000D+00)
-(0.10000D-01,0.00000D+00)
+(0.10000D-01,0.00000D+00)
-0 0 0
+0 0 0
ZBL: Tests ZGEBAL
5
(0.10000D+01,0.10000D+01) (0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.20000D+01,0.10000D+01) (0.00000D+00,0.00000D+00)
-(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
+(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00)
(0.00000D+00,0.00000D+00) (0.00000D+00,0.00000D+00) (0.30000D+01,0.30000D+01)
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-(-5.0000D+00,-5.0000D+00)
+( 3.0000D+00, 3.0000D+00)
+( 6.0000D+00, 1.0000D+01)
+(-5.0000D+00,-5.0000D+00)
(-6.0000D+00,-6.0000D+00)
-( 2.0000D+00, 2.0000D+00)
-( 3.0000D+00, 3.0000D+00)
-(-1.0000D+00, 3.0000D+00)
+( 2.0000D+00, 2.0000D+00)
+( 3.0000D+00, 3.0000D+00)
+(-1.0000D+00, 3.0000D+00)
(-5.0000D+00,-5.0000D+00)
-( 1.0000D+00, 1.0000D+00)
-( 2.0000D+00, 2.0000D+00)
-(-3.0000D+00,-3.0000D+00)
+( 1.0000D+00, 1.0000D+00)
+( 2.0000D+00, 2.0000D+00)
+(-3.0000D+00,-3.0000D+00)
( 0.0000D+00, 4.0000D+00)
1.0000D+00 5.0000D+00 2.1822D-01 7.4651D-01
2.0000D+00 6.0000D+00 2.1822D-01 3.0893D-01
3.0000D+00 7.0000D+00 2.1822D-01 1.8315D-01
4.0000D+00 8.0000D+00 2.1822D-01 6.6350D-01
4 0
-( 3.0000D+00, 0.0000D+00)
-( 1.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
+( 3.0000D+00, 0.0000D+00)
+( 1.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
( 0.0000D+00, 2.0000D+00)
-( 1.0000D+00, 0.0000D+00)
-( 3.0000D+00, 0.0000D+00)
-( 0.0000D+00,-2.0000D+00)
+( 1.0000D+00, 0.0000D+00)
+( 3.0000D+00, 0.0000D+00)
+( 0.0000D+00,-2.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 2.0000D+00)
+( 1.0000D+00, 0.0000D+00)
+( 1.0000D+00, 0.0000D+00)
+( 0.0000D+00,-2.0000D+00)
( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 2.0000D+00)
-( 1.0000D+00, 0.0000D+00)
( 1.0000D+00, 0.0000D+00)
-( 0.0000D+00,-2.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 1.0000D+00, 0.0000D+00)
( 1.0000D+00, 0.0000D+00)
-8.2843D-01 1.6979D-07 1.0000D+00 8.2843D-01
4.1744D-07 7.1526D-08 1.0000D+00 8.2843D-01
4.0000D+00 1.6690D-07 1.0000D+00 8.2843D-01
4.8284D+00 6.8633D-08 1.0000D+00 8.2843D-01
4 0
-( 7.0000D+00, 0.0000D+00)
-( 3.0000D+00, 0.0000D+00)
-( 1.0000D+00, 2.0000D+00)
+( 7.0000D+00, 0.0000D+00)
+( 3.0000D+00, 0.0000D+00)
+( 1.0000D+00, 2.0000D+00)
(-1.0000D+00, 2.0000D+00)
-( 3.0000D+00, 0.0000D+00)
-( 7.0000D+00, 0.0000D+00)
-( 1.0000D+00,-2.0000D+00)
+( 3.0000D+00, 0.0000D+00)
+( 7.0000D+00, 0.0000D+00)
+( 1.0000D+00,-2.0000D+00)
+(-1.0000D+00,-2.0000D+00)
+( 1.0000D+00,-2.0000D+00)
+( 1.0000D+00, 2.0000D+00)
+( 7.0000D+00, 0.0000D+00)
+(-3.0000D+00, 0.0000D+00)
(-1.0000D+00,-2.0000D+00)
-( 1.0000D+00,-2.0000D+00)
-( 1.0000D+00, 2.0000D+00)
-( 7.0000D+00, 0.0000D+00)
+(-2.0000D+00, 2.0000D+00)
(-3.0000D+00, 0.0000D+00)
-(-1.0000D+00,-2.0000D+00)
-(-2.0000D+00, 2.0000D+00)
-(-3.0000D+00, 0.0000D+00)
( 7.0000D+00, 0.0000D+00)
-8.0767D-03 -2.5211D-01 9.9864D-01 7.7961D+00
7.7723D+00 2.4349D-01 7.0272D-01 3.3337D-01
8.0000D+00 -3.4273D-07 7.0711D-01 3.3337D-01
1.2236D+01 8.6188D-03 9.9021D-01 3.9429D+00
5 0
-( 1.0000D+00, 2.0000D+00)
-( 3.0000D+00, 4.0000D+00)
-( 2.1000D+01, 2.2000D+01)
-( 2.3000D+01, 2.4000D+01)
+( 1.0000D+00, 2.0000D+00)
+( 3.0000D+00, 4.0000D+00)
+( 2.1000D+01, 2.2000D+01)
+( 2.3000D+01, 2.4000D+01)
( 4.1000D+01, 4.2000D+01)
-( 4.3000D+01, 4.4000D+01)
-( 1.3000D+01, 1.4000D+01)
-( 1.5000D+01, 1.6000D+01)
-( 3.3000D+01, 3.4000D+01)
+( 4.3000D+01, 4.4000D+01)
+( 1.3000D+01, 1.4000D+01)
+( 1.5000D+01, 1.6000D+01)
+( 3.3000D+01, 3.4000D+01)
( 3.5000D+01, 3.6000D+01)
-( 5.0000D+00, 6.0000D+00)
-( 7.0000D+00, 8.0000D+00)
-( 2.5000D+01, 2.6000D+01)
-( 2.7000D+01, 2.8000D+01)
+( 5.0000D+00, 6.0000D+00)
+( 7.0000D+00, 8.0000D+00)
+( 2.5000D+01, 2.6000D+01)
+( 2.7000D+01, 2.8000D+01)
( 4.5000D+01, 4.6000D+01)
-( 4.7000D+01, 4.8000D+01)
-( 1.7000D+01, 1.8000D+01)
-( 1.9000D+01, 2.0000D+01)
-( 3.7000D+01, 3.8000D+01)
+( 4.7000D+01, 4.8000D+01)
+( 1.7000D+01, 1.8000D+01)
+( 1.9000D+01, 2.0000D+01)
+( 3.7000D+01, 3.8000D+01)
( 3.9000D+01, 4.0000D+01)
-( 9.0000D+00, 1.0000D+01)
-( 1.1000D+01, 1.2000D+01)
-( 2.9000D+01, 3.0000D+01)
-( 3.1000D+01, 3.2000D+01)
+( 9.0000D+00, 1.0000D+01)
+( 1.1000D+01, 1.2000D+01)
+( 2.9000D+01, 3.0000D+01)
+( 3.1000D+01, 3.2000D+01)
( 4.9000D+01, 5.0000D+01)
-9.4600D+00 7.2802D+00 3.1053D-01 1.1937D+01
-7.7912D-06 -1.2743D-05 2.9408D-01 1.6030D-05
7.0733D+00 -9.5584D+00 3.0911D-01 1.1891D+01
1.2739D+02 1.3228D+02 9.2770D-01 1.2111D+02
3 0
-( 1.0000D+00, 1.0000D+00)
-(-1.0000D+00,-1.0000D+00)
+( 1.0000D+00, 1.0000D+00)
+(-1.0000D+00,-1.0000D+00)
( 2.0000D+00, 2.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 1.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 1.0000D+00)
( 2.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-(-1.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+(-1.0000D+00, 0.0000D+00)
( 3.0000D+00, 1.0000D+00)
1.0000D+00 1.0000D+00 3.0151D-01 0.0000D+00
1.0000D+00 1.0000D+00 3.1623D-01 0.0000D+00
2.0000D+00 1.0000D+00 2.2361D-01 1.0000D+00
4 1
-(-4.0000D+00,-2.0000D+00)
-(-5.0000D+00,-6.0000D+00)
-(-2.0000D+00,-6.0000D+00)
+(-4.0000D+00,-2.0000D+00)
+(-5.0000D+00,-6.0000D+00)
+(-2.0000D+00,-6.0000D+00)
( 0.0000D+00,-2.0000D+00)
-( 1.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
+( 1.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 1.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 1.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 1.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 1.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
-9.9883D-01 -1.0006D+00 1.3180D-04 2.4106D-04
-1.0012D+00 -9.9945D-01 1.3140D-04 2.4041D-04
-9.9947D-01 -6.8325D-04 1.3989D-04 8.7487D-05
-1.0005D+00 6.8556D-04 1.4010D-04 8.7750D-05
7 0
-( 2.0000D+00, 4.0000D+00)
-( 1.0000D+00, 1.0000D+00)
-( 6.0000D+00, 2.0000D+00)
-( 3.0000D+00, 3.0000D+00)
-( 5.0000D+00, 5.0000D+00)
-( 2.0000D+00, 6.0000D+00)
+( 2.0000D+00, 4.0000D+00)
( 1.0000D+00, 1.0000D+00)
-( 1.0000D+00, 2.0000D+00)
-( 1.0000D+00, 3.0000D+00)
-( 3.0000D+00, 1.0000D+00)
-( 5.0000D+00,-4.0000D+00)
-( 1.0000D+00, 1.0000D+00)
-( 7.0000D+00, 2.0000D+00)
+( 6.0000D+00, 2.0000D+00)
+( 3.0000D+00, 3.0000D+00)
+( 5.0000D+00, 5.0000D+00)
+( 2.0000D+00, 6.0000D+00)
+( 1.0000D+00, 1.0000D+00)
+( 1.0000D+00, 2.0000D+00)
+( 1.0000D+00, 3.0000D+00)
+( 3.0000D+00, 1.0000D+00)
+( 5.0000D+00,-4.0000D+00)
+( 1.0000D+00, 1.0000D+00)
+( 7.0000D+00, 2.0000D+00)
( 2.0000D+00, 3.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 3.0000D+00,-2.0000D+00)
-( 1.0000D+00, 1.0000D+00)
-( 6.0000D+00, 3.0000D+00)
-( 2.0000D+00, 1.0000D+00)
-( 1.0000D+00, 4.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 3.0000D+00,-2.0000D+00)
+( 1.0000D+00, 1.0000D+00)
+( 6.0000D+00, 3.0000D+00)
+( 2.0000D+00, 1.0000D+00)
+( 1.0000D+00, 4.0000D+00)
( 2.0000D+00, 1.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 2.0000D+00, 3.0000D+00)
-( 3.0000D+00, 1.0000D+00)
-( 1.0000D+00, 2.0000D+00)
-( 2.0000D+00, 2.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 2.0000D+00, 3.0000D+00)
+( 3.0000D+00, 1.0000D+00)
+( 1.0000D+00, 2.0000D+00)
+( 2.0000D+00, 2.0000D+00)
+( 3.0000D+00, 1.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 2.0000D+00,-1.0000D+00)
+( 2.0000D+00, 2.0000D+00)
( 3.0000D+00, 1.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 2.0000D+00,-1.0000D+00)
-( 2.0000D+00, 2.0000D+00)
-( 3.0000D+00, 1.0000D+00)
( 1.0000D+00, 3.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 1.0000D+00,-1.0000D+00)
-( 2.0000D+00, 1.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 1.0000D+00,-1.0000D+00)
+( 2.0000D+00, 1.0000D+00)
( 2.0000D+00, 2.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 2.0000D+00,-2.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 2.0000D+00,-2.0000D+00)
( 1.0000D+00, 1.0000D+00)
-2.7081D+00 -2.8029D+00 6.9734D-01 3.9279D+00
-1.1478D+00 8.0176D-01 6.5772D-01 9.4243D-01
5.3138D+00 1.2242D+00 3.0213D-01 7.1268D-01
8.2674D+00 3.7047D+00 2.8270D-01 3.2849D+00
5 1
-( 0.0000D+00, 5.0000D+00)
-( 1.0000D+00, 2.0000D+00)
-( 2.0000D+00, 3.0000D+00)
-(-3.0000D+00, 6.0000D+00)
+( 0.0000D+00, 5.0000D+00)
+( 1.0000D+00, 2.0000D+00)
+( 2.0000D+00, 3.0000D+00)
+(-3.0000D+00, 6.0000D+00)
( 6.0000D+00, 0.0000D+00)
-(-1.0000D+00, 2.0000D+00)
-( 0.0000D+00, 6.0000D+00)
-( 4.0000D+00, 5.0000D+00)
-(-3.0000D+00,-2.0000D+00)
+(-1.0000D+00, 2.0000D+00)
+( 0.0000D+00, 6.0000D+00)
+( 4.0000D+00, 5.0000D+00)
+(-3.0000D+00,-2.0000D+00)
( 5.0000D+00, 0.0000D+00)
-(-2.0000D+00, 3.0000D+00)
-(-4.0000D+00, 5.0000D+00)
-( 0.0000D+00, 7.0000D+00)
-( 3.0000D+00, 0.0000D+00)
+(-2.0000D+00, 3.0000D+00)
+(-4.0000D+00, 5.0000D+00)
+( 0.0000D+00, 7.0000D+00)
+( 3.0000D+00, 0.0000D+00)
( 2.0000D+00, 0.0000D+00)
-( 3.0000D+00, 6.0000D+00)
-( 3.0000D+00,-2.0000D+00)
-(-3.0000D+00, 0.0000D+00)
-( 0.0000D+00,-5.0000D+00)
+( 3.0000D+00, 6.0000D+00)
+( 3.0000D+00,-2.0000D+00)
+(-3.0000D+00, 0.0000D+00)
+( 0.0000D+00,-5.0000D+00)
( 2.0000D+00, 1.0000D+00)
-(-6.0000D+00, 0.0000D+00)
-(-5.0000D+00, 0.0000D+00)
-(-2.0000D+00, 0.0000D+00)
-(-2.0000D+00, 1.0000D+00)
+(-6.0000D+00, 0.0000D+00)
+(-5.0000D+00, 0.0000D+00)
+(-2.0000D+00, 0.0000D+00)
+(-2.0000D+00, 1.0000D+00)
( 0.0000D+00, 2.0000D+00)
-4.1735D-08 -1.0734D+01 1.0000D+00 7.7345D+00
-2.6397D-07 -2.9991D+00 1.0000D+00 4.5989D+00
-4.4369D-07 9.3159D+00 1.0000D+00 7.7161D+00
4.0937D-09 1.7817D+01 1.0000D+00 8.5013D+00
3 0
-( 2.0000D+00, 0.0000D+00)
-( 0.0000D+00,-1.0000D+00)
+( 2.0000D+00, 0.0000D+00)
+( 0.0000D+00,-1.0000D+00)
+( 0.0000D+00, 0.0000D+00)
+( 0.0000D+00, 1.0000D+00)
+( 2.0000D+00, 0.0000D+00)
+( 0.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 1.0000D+00)
-( 2.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
-( 0.0000D+00, 0.0000D+00)
( 3.0000D+00, 0.0000D+00)
1.0000D+00 0.0000D+00 1.0000D+00 2.0000D+00
3.0000D+00 0.0000D+00 1.0000D+00 0.0000D+00
(-0.5000D+01,-0.5000D+01) (-0.5000D+01,-0.5000D+01) (-0.5000D+01,-0.5000D+01)
(-0.6000D+01,-0.6000D+01) (-0.6000D+01,-0.6000D+01) (-0.6000D+01,-0.6000D+01)
-0 0
+0 0
0.2000D+01 0.2000D+01 0.1000D+01 0.1000D+01 0.5000D+01 0.5000D+01
-0
+0
ZGV Data for the Complex Nonsymmetric Eigenvalue Driver
6 Number of matrix dimensions
-2 6 8 10 12 20 Matrix dimensions
+2 6 8 10 12 20 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
ZGV 26 Test all 26 matrix types
ZGS Data for the Complex Nonsymmetric Schur Form Driver
5 Number of matrix dimensions
-2 6 10 12 20 30 Matrix dimensions
+2 6 10 12 20 30 Matrix dimensions
1 1 1 2 1 Parameters NB, NBMIN, NXOVER, NS, NBCOL
10 Threshold for test ratios
.TRUE. Put T to test the error exits
10 Threshold for test ratios
.TRUE. Put T to test the error exits
0 Code to interpret the seed
- 4
+ 4
2
( 2.0000D+00, 6.0000D+00)
( 2.0000D+00, 5.0000D+00)
-( 3.0000D+00,-1.0000D+01)
+( 3.0000D+00,-1.0000D+01)
( 4.0000D+00, 7.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 9.0000D+00, 2.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 1.0000D+01,-1.6000D+01)
-(-9.0000D+00, 1.0000D+00)
+(-9.0000D+00, 1.0000D+00)
(-1.0000D+00,-8.0000D+00)
(-1.0000D+00, 1.0000D+01)
( 2.0000D+00,-6.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 8.0000D+00, 4.0000D+00)
7.6883D-02 2.1007D-01 Condition #'s for cluster selected from lower 2x2
- 4
+ 4
2
( 1.0000D+00, 8.0000D+00)
( 2.0000D+00, 4.0000D+00)
( 3.0000D+00,-1.3000D+01)
-( 4.0000D+00, 4.0000D+00)
+( 4.0000D+00, 4.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 5.0000D+00, 7.0000D+00)
( 6.0000D+00,-2.4000D+01)
4
( 2.0000D+00, 6.0000D+00)
( 2.0000D+00, 5.0000D+00)
-( 3.0000D+00,-1.0000D+01)
+( 3.0000D+00,-1.0000D+01)
( 4.0000D+00, 7.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 9.0000D+00, 2.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 1.0000D+01,-1.6000D+01)
-(-9.0000D+00, 1.0000D+00)
+(-9.0000D+00, 1.0000D+00)
(-1.0000D+00,-8.0000D+00)
(-1.0000D+00, 1.0000D+01)
( 2.0000D+00,-6.0000D+00)
( 8.0000D+00, 4.0000D+00)
5.2612D+00 8.0058D-01 1.4032D+00 4.0073D+00 condition #'s for eigenvalues
1.1787D+00 3.3139D+00 1.1835D+00 2.0777D+00 condition #'s for eigenvectors
- 4
+ 4
( 1.0000D+00, 8.0000D+00)
( 2.0000D+00, 4.0000D+00)
( 3.0000D+00,-1.3000D+01)
-( 4.0000D+00, 4.0000D+00)
+( 4.0000D+00, 4.0000D+00)
( 0.0000D+00, 0.0000D+00)
( 5.0000D+00, 7.0000D+00)
( 6.0000D+00,-2.4000D+01)
####################################################################
#
SHELL = /bin/sh
-#
+#
# 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
+# selected. Define LOADER and LOADOPTS to refer to the loader and
# desired load options for your machine.
#
# Note: During a regular execution, LAPACK might create NaN and Inf
-# and handle these quantities appropriately. As a consequence, one
+# and handle these quantities appropriately. As a consequence, one
# should not compile LAPACK with flags such as -ffpe-trap=overflow.
#
-FORTRAN = gfortran
+FORTRAN = gfortran
OPTS = -O2 -frecursive
DRVOPTS = $(OPTS)
NOOPT = -O0 -frecursive
XBLASLIB =
# XBLASLIB = -lxblas
#
-# The location of the libraries to which you will link. (The
+# The location of the libraries to which you will link. (The
# machine-specific, optimized BLAS library should be used whenever
# possible.)
#
projects / platform / upstream / lapack.git / commitdiff