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Merge branch 'hotfix-v0.2.8' into develop

This commit is contained in:
Zhang Xianyi 2013-07-31 14:46:56 +08:00
parent a2930664f4 a07cc39571
commit 36adfe8d64
11 changed files with 128 additions and 28 deletions
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7
Makefile.system
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@ -324,14 +324,16 @@ ifeq ($(ARCH), x86)
DYNAMIC_CORE = KATMAI COPPERMINE NORTHWOOD PRESCOTT BANIAS \ DYNAMIC_CORE = KATMAI COPPERMINE NORTHWOOD PRESCOTT BANIAS \
CORE2 PENRYN DUNNINGTON NEHALEM ATHLON OPTERON OPTERON_SSE3 BARCELONA BOBCAT ATOM NANO CORE2 PENRYN DUNNINGTON NEHALEM ATHLON OPTERON OPTERON_SSE3 BARCELONA BOBCAT ATOM NANO
ifneq ($(NO_AVX), 1) ifneq ($(NO_AVX), 1)
DYNAMIC_CORE += SANDYBRIDGE BULLDOZER PILEDRIVER DYNAMIC_CORE += SANDYBRIDGE
#BULLDOZER PILEDRIVER
endif endif
endif endif
ifeq ($(ARCH), x86_64) ifeq ($(ARCH), x86_64)
DYNAMIC_CORE = PRESCOTT CORE2 PENRYN DUNNINGTON NEHALEM OPTERON OPTERON_SSE3 BARCELONA BOBCAT ATOM NANO DYNAMIC_CORE = PRESCOTT CORE2 PENRYN DUNNINGTON NEHALEM OPTERON OPTERON_SSE3 BARCELONA BOBCAT ATOM NANO
ifneq ($(NO_AVX), 1) ifneq ($(NO_AVX), 1)
DYNAMIC_CORE += SANDYBRIDGE BULLDOZER PILEDRIVER DYNAMIC_CORE += SANDYBRIDGE
#BULLDOZER PILEDRIVER
endif endif
endif endif
@ -895,6 +897,7 @@ export CC
export FC export FC
export BU export BU
export FU export FU
export NEED2UNDERSCORES
export USE_THREAD export USE_THREAD
export NUM_THREADS export NUM_THREADS
export NUM_CORES export NUM_CORES

8
cpuid.h
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@ -105,8 +105,8 @@
#define CORE_NANO 19 #define CORE_NANO 19
#define CORE_SANDYBRIDGE 20 #define CORE_SANDYBRIDGE 20
#define CORE_BOBCAT 21 #define CORE_BOBCAT 21
#define CORE_BULLDOZER 22 #define CORE_BULLDOZER CORE_BARCELONA
#define CORE_PILEDRIVER 23 #define CORE_PILEDRIVER CORE_BARCELONA
#define CORE_HASWELL CORE_SANDYBRIDGE #define CORE_HASWELL CORE_SANDYBRIDGE
#define HAVE_SSE (1 << 0) #define HAVE_SSE (1 << 0)
@ -198,8 +198,8 @@ typedef struct {
#define CPUTYPE_NANO 43 #define CPUTYPE_NANO 43
#define CPUTYPE_SANDYBRIDGE 44 #define CPUTYPE_SANDYBRIDGE 44
#define CPUTYPE_BOBCAT 45 #define CPUTYPE_BOBCAT 45
#define CPUTYPE_BULLDOZER 46 #define CPUTYPE_BULLDOZER CPUTYPE_BARCELONA
#define CPUTYPE_PILEDRIVER 47 #define CPUTYPE_PILEDRIVER CPUTYPE_BARCELONA
// this define is because BLAS doesn't have haswell specific optimizations yet // this define is because BLAS doesn't have haswell specific optimizations yet
#define CPUTYPE_HASWELL CPUTYPE_SANDYBRIDGE #define CPUTYPE_HASWELL CPUTYPE_SANDYBRIDGE

8
driver/others/dynamic.c
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@ -63,14 +63,16 @@ extern gotoblas_t gotoblas_BARCELONA;
extern gotoblas_t gotoblas_BOBCAT; extern gotoblas_t gotoblas_BOBCAT;
#ifndef NO_AVX #ifndef NO_AVX
extern gotoblas_t gotoblas_SANDYBRIDGE; extern gotoblas_t gotoblas_SANDYBRIDGE;
extern gotoblas_t gotoblas_BULLDOZER; //extern gotoblas_t gotoblas_BULLDOZER;
extern gotoblas_t gotoblas_PILEDRIVER; //extern gotoblas_t gotoblas_PILEDRIVER;
#else #else
//Use NEHALEM kernels for sandy bridge //Use NEHALEM kernels for sandy bridge
#define gotoblas_SANDYBRIDGE gotoblas_NEHALEM #define gotoblas_SANDYBRIDGE gotoblas_NEHALEM
#endif
#define gotoblas_BULLDOZER gotoblas_BARCELONA #define gotoblas_BULLDOZER gotoblas_BARCELONA
#define gotoblas_PILEDRIVER gotoblas_BARCELONA #define gotoblas_PILEDRIVER gotoblas_BARCELONA
#endif
//Use sandy bridge kernels for haswell. //Use sandy bridge kernels for haswell.
#define gotoblas_HASWELL gotoblas_SANDYBRIDGE #define gotoblas_HASWELL gotoblas_SANDYBRIDGE

20
exports/Makefile
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@ -18,6 +18,10 @@ ifndef NO_LAPACKE
NO_LAPACKE = 0 NO_LAPACKE = 0
endif endif
ifndef NEED2UNDERSCORES
NEED2UNDERSCORES=0
endif
ifeq ($(OSNAME), WINNT) ifeq ($(OSNAME), WINNT)
ifeq ($(F_COMPILER), GFORTRAN) ifeq ($(F_COMPILER), GFORTRAN)
EXTRALIB += -lgfortran EXTRALIB += -lgfortran
@ -94,13 +98,13 @@ libgoto2_shared.dll : ../$(LIBNAME) libgoto2_shared.def
-Wl,--out-implib,libgoto2_shared.lib $(FEXTRALIB) -Wl,--out-implib,libgoto2_shared.lib $(FEXTRALIB)
libopenblas.def : gensymbol libopenblas.def : gensymbol
perl ./gensymbol win2k $(ARCH) dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > $(@F) perl ./gensymbol win2k $(ARCH) dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > $(@F)
libgoto2_shared.def : gensymbol libgoto2_shared.def : gensymbol
perl ./gensymbol win2k $(ARCH) dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > $(@F) perl ./gensymbol win2k $(ARCH) dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > $(@F)
libgoto_hpl.def : gensymbol libgoto_hpl.def : gensymbol
perl ./gensymbol win2khpl $(ARCH) dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > $(@F) perl ./gensymbol win2khpl $(ARCH) dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > $(@F)
$(LIBDYNNAME) : ../$(LIBNAME) osx.def $(LIBDYNNAME) : ../$(LIBNAME) osx.def
$(CC) $(CFLAGS) -all_load -headerpad_max_install_names -install_name $(CURDIR)/../$(LIBDYNNAME) -dynamiclib -o ../$(LIBDYNNAME) $< -Wl,-exported_symbols_list,osx.def $(FEXTRALIB) $(CC) $(CFLAGS) -all_load -headerpad_max_install_names -install_name $(CURDIR)/../$(LIBDYNNAME) -dynamiclib -o ../$(LIBDYNNAME) $< -Wl,-exported_symbols_list,osx.def $(FEXTRALIB)
@ -187,23 +191,23 @@ static : ../$(LIBNAME)
rm -f goto.$(SUFFIX) rm -f goto.$(SUFFIX)
linux.def : gensymbol ../Makefile.system ../getarch.c linux.def : gensymbol ../Makefile.system ../getarch.c
perl ./gensymbol linux $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > $(@F) perl ./gensymbol linux $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > $(@F)
osx.def : gensymbol ../Makefile.system ../getarch.c osx.def : gensymbol ../Makefile.system ../getarch.c
perl ./gensymbol osx $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > $(@F) perl ./gensymbol osx $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > $(@F)
aix.def : gensymbol ../Makefile.system ../getarch.c aix.def : gensymbol ../Makefile.system ../getarch.c
perl ./gensymbol aix $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > $(@F) perl ./gensymbol aix $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > $(@F)
symbol.S : gensymbol symbol.S : gensymbol
perl ./gensymbol win2kasm noarch dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > symbol.S perl ./gensymbol win2kasm noarch dummy $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > symbol.S
test : linktest.c test : linktest.c
$(CC) $(CFLAGS) $(LDFLAGS) -w -o linktest linktest.c ../$(LIBSONAME) -lm && echo OK. $(CC) $(CFLAGS) $(LDFLAGS) -w -o linktest linktest.c ../$(LIBSONAME) -lm && echo OK.
rm -f linktest rm -f linktest
linktest.c : gensymbol ../Makefile.system ../getarch.c linktest.c : gensymbol ../Makefile.system ../getarch.c
perl ./gensymbol linktest $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) > linktest.c perl ./gensymbol linktest $(ARCH) $(BU) $(EXPRECISION) $(NO_CBLAS) $(NO_LAPACK) $(NO_LAPACKE) $(NEED2UNDERSCORES) > linktest.c
clean :: clean ::
@rm -f *.def *.dylib __.SYMDEF* @rm -f *.def *.dylib __.SYMDEF*

67
exports/gensymbol
View File

@ -114,8 +114,8 @@
# ALLAUX -- Auxiliary routines called from all precisions # ALLAUX -- Auxiliary routines called from all precisions
# already provided by @blasobjs: xerbla, lsame # already provided by @blasobjs: xerbla, lsame
ilaenv, ieeeck, lsamen, xerbla_array, iparmq, ilaenv, ieeeck, lsamen, iparmq,
ilaprec, ilatrans, ilauplo, iladiag, chla_transtype, ilaprec, ilatrans, ilauplo, iladiag,
ilaver, slamch, slamc3, ilaver, slamch, slamc3,
# SCLAUX -- Auxiliary routines called from both REAL and COMPLEX. # SCLAUX -- Auxiliary routines called from both REAL and COMPLEX.
@ -2672,12 +2672,25 @@
#LAPACKE_zlagsy_work, #LAPACKE_zlagsy_work,
); );
#These function may need 2 underscores.
@lapack_embeded_underscore_objs=(xerbla_array, chla_transtype,);
if ($ARGV[5] == 1) { if ($ARGV[5] == 1) {
#NO_LAPACK=1 #NO_LAPACK=1
@underscore_objs = (@blasobjs, @misc_underscore_objs); @underscore_objs = (@blasobjs, @misc_underscore_objs);
} elsif (-d "../lapack-3.1.1" || -d "../lapack-3.4.0" || -d "../lapack-3.4.1" || } elsif (-d "../lapack-3.1.1" || -d "../lapack-3.4.0" || -d "../lapack-3.4.1" ||
-d "../lapack-3.4.2" || -d "../lapack-netlib") { -d "../lapack-3.4.2" || -d "../lapack-netlib") {
if ($ARGV[7] == 0){
# NEED2UNDERSCORES=0
# Don't need 2 underscores
@underscore_objs = (@blasobjs, @lapackobjs, @lapackobjs2, @misc_underscore_objs, @lapack_embeded_underscore_objs);
}else{
# Need 2 underscores
@underscore_objs = (@blasobjs, @lapackobjs, @lapackobjs2, @misc_underscore_objs); @underscore_objs = (@blasobjs, @lapackobjs, @lapackobjs2, @misc_underscore_objs);
@need_2underscore_objs = (@lapack_embeded_underscore_objs);
};
} else { } else {
@underscore_objs = (@blasobjs, @lapackobjs, @misc_underscore_objs); @underscore_objs = (@blasobjs, @lapackobjs, @misc_underscore_objs);
} }
@ -2729,6 +2742,10 @@ if ($ARGV[0] eq "linux"){
print $objs, $bu, "\n"; print $objs, $bu, "\n";
} }
foreach $objs (@need_2underscore_objs) {
print $objs, $bu, $bu, "\n";
}
# if ($ARGV[4] == 0) { # if ($ARGV[4] == 0) {
foreach $objs (@no_underscore_objs) { foreach $objs (@no_underscore_objs) {
print $objs, "\n"; print $objs, "\n";
@ -2750,6 +2767,10 @@ if ($ARGV[0] eq "osx"){
print "_", $objs, $bu, "\n"; print "_", $objs, $bu, "\n";
} }
foreach $objs (@need_2underscore_objs) {
print "_", $objs, $bu, $bu, "\n";
}
# if ($ARGV[4] == 0) { # if ($ARGV[4] == 0) {
foreach $objs (@no_underscore_objs) { foreach $objs (@no_underscore_objs) {
print "_", $objs, "\n"; print "_", $objs, "\n";
@ -2767,6 +2788,10 @@ if ($ARGV[0] eq "aix"){
print $objs, $bu, "\n"; print $objs, $bu, "\n";
} }
foreach $objs (@need_2underscore_objs) {
print $objs, $bu, $bu, "\n";
}
# if ($ARGV[4] == 0) { # if ($ARGV[4] == 0) {
foreach $objs (@no_underscore_objs) { foreach $objs (@no_underscore_objs) {
print $objs, "\n"; print $objs, "\n";
@ -2792,6 +2817,17 @@ if ($ARGV[0] eq "win2k"){
$count ++; $count ++;
} }
foreach $objs (@need_2underscore_objs) {
$uppercase = $objs;
$uppercase =~ tr/[a-z]/[A-Z]/;
print "\t$objs=$objs","__ \@", $count, "\n";
$count ++;
print "\t",$objs, "__=$objs","__ \@", $count, "\n";
$count ++;
print "\t$uppercase=$objs", "__ \@", $count, "\n";
$count ++;
}
#for misc_common_objs #for misc_common_objs
foreach $objs (@misc_common_objs) { foreach $objs (@misc_common_objs) {
@ -2852,6 +2888,18 @@ if ($ARGV[0] eq "microsoft"){
print "\t$uppercase\_ = $objs","_\n"; print "\t$uppercase\_ = $objs","_\n";
$count ++; $count ++;
} }
foreach $objs (@need_2underscore_objs) {
$uppercase = $objs;
$uppercase =~ tr/[a-z]/[A-Z]/;
print "\t$objs=$objs","__ \@", $count, "\n";
$count ++;
print "\t",$objs, "__=$objs","__ \@", $count, "\n";
$count ++;
print "\t$uppercase=$objs", "__ \@", $count, "\n";
$count ++;
}
exit(0); exit(0);
} }
@ -2868,6 +2916,16 @@ if ($ARGV[0] eq "win2kasm"){
print "_", $uppercase, "_:\n"; print "_", $uppercase, "_:\n";
print "\tjmp\t_", $objs, "_\n"; print "\tjmp\t_", $objs, "_\n";
} }
foreach $objs (@need_2underscore_objs) {
$uppercase = $objs;
$uppercase =~ tr/[a-z]/[A-Z]/;
print "\t.align 16\n";
print "\t.globl _", $uppercase, "__\n";
print "_", $uppercase, "__:\n";
print "\tjmp\t_", $objs, "__\n";
}
exit(0); exit(0);
} }
@ -2880,6 +2938,11 @@ if ($ARGV[0] eq "linktest"){
foreach $objs (@underscore_objs) { foreach $objs (@underscore_objs) {
print $objs, $bu, "();\n" if $objs ne "xerbla"; print $objs, $bu, "();\n" if $objs ne "xerbla";
} }
foreach $objs (@need_2underscore_objs) {
print $objs, $bu, $bu, "();\n";
}
# if ($ARGV[4] == 0) { # if ($ARGV[4] == 0) {
foreach $objs (@no_underscore_objs) { foreach $objs (@no_underscore_objs) {
print $objs, "();\n"; print $objs, "();\n";

21
f_check
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@ -114,6 +114,12 @@ if ($compiler eq "") {
$vendor = IBM; $vendor = IBM;
$openmp = "-openmp"; $openmp = "-openmp";
} }
# for embeded underscore name, e.g. zho_ge, it may append 2 underscores.
$data = `$compiler -O2 -S ftest3.f > /dev/null 2>&1 && cat ftest3.s && rm -f ftest3.s`;
if ($data =~ /zho_ge__/) {
$need2bu = 1;
}
} }
if ($vendor eq "") { if ($vendor eq "") {
@ -245,6 +251,8 @@ if ($link ne "") {
$link =~ s/\-rpath\s+/\-rpath\@/g; $link =~ s/\-rpath\s+/\-rpath\@/g;
$link =~ s/\-rpath-link\s+/\-rpath-link\@/g;
@flags = split(/[\s\,\n]/, $link); @flags = split(/[\s\,\n]/, $link);
# remove leading and trailing quotes from each flag. # remove leading and trailing quotes from each flag.
@flags = map {s/^['"]|['"]$//g; $_} @flags; @flags = map {s/^['"]|['"]$//g; $_} @flags;
@ -265,7 +273,15 @@ if ($link ne "") {
$linker_L .= "-Wl,". $flags . " "; $linker_L .= "-Wl,". $flags . " ";
} }
if ($flags =~ /^\-rpath/) { if ($flags =~ /^\-rpath\@/) {
$flags =~ s/\@/\,/g;
if ($vendor eq "PGI") {
$flags =~ s/lib$/libso/;
}
$linker_L .= "-Wl,". $flags . " " ;
}
if ($flags =~ /^\-rpath-link\@/) {
$flags =~ s/\@/\,/g; $flags =~ s/\@/\,/g;
if ($vendor eq "PGI") { if ($vendor eq "PGI") {
$flags =~ s/lib$/libso/; $flags =~ s/lib$/libso/;
@ -309,6 +325,9 @@ print MAKEFILE "NOFORTRAN=1\n" if $nofortran == 1;
print CONFFILE "#define BUNDERSCORE\t$bu\n" if $bu ne ""; print CONFFILE "#define BUNDERSCORE\t$bu\n" if $bu ne "";
print CONFFILE "#define NEEDBUNDERSCORE\t1\n" if $bu ne ""; print CONFFILE "#define NEEDBUNDERSCORE\t1\n" if $bu ne "";
print CONFFILE "#define NEED2UNDERSCORES\t1\n" if $need2bu ne "";
print MAKEFILE "NEED2UNDERSCORES=1\n" if $need2bu ne "";
if (($linker_l ne "") || ($linker_a ne "")) { if (($linker_l ne "") || ($linker_a ne "")) {
print MAKEFILE "FEXTRALIB=$linker_L $linker_l $linker_a\n"; print MAKEFILE "FEXTRALIB=$linker_L $linker_l $linker_a\n";

6
ftest3.f Normal file
View File

@ -0,0 +1,6 @@
double complex function zho_ge()
zho_ge = (0.0d0,0.0d0)
return
end

6
getarch.c
View File

@ -354,7 +354,7 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#define CORENAME "OPTERON" #define CORENAME "OPTERON"
#endif #endif
#if defined(FORCE_BARCELONA) || defined(FORCE_SHANGHAI) || defined(FORCE_ISTANBUL) #if defined(FORCE_BARCELONA) || defined(FORCE_SHANGHAI) || defined(FORCE_ISTANBUL) || defined (FORCE_PILEDRIVER) || defined (FORCE_BULLDOZER)
#define FORCE #define FORCE
#define FORCE_INTEL #define FORCE_INTEL
#define ARCHITECTURE "X86" #define ARCHITECTURE "X86"
@ -384,7 +384,7 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#define CORENAME "BOBCAT" #define CORENAME "BOBCAT"
#endif #endif
#if defined (FORCE_BULLDOZER) #if 0
#define FORCE #define FORCE
#define FORCE_INTEL #define FORCE_INTEL
#define ARCHITECTURE "X86" #define ARCHITECTURE "X86"
@ -400,7 +400,7 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#define CORENAME "BULLDOZER" #define CORENAME "BULLDOZER"
#endif #endif
#if defined (FORCE_PILEDRIVER) #if 0
#define FORCE #define FORCE
#define FORCE_INTEL #define FORCE_INTEL
#define ARCHITECTURE "X86" #define ARCHITECTURE "X86"

2
getarch_2nd.c
View File

@ -8,7 +8,7 @@
int main(int argc, char **argv) { int main(int argc, char **argv) {
if ( (argc <= 1) || (argc >= 2) && (*argv[1] == '0')) { if ( (argc <= 1) || ((argc >= 2) && (*argv[1] == '0'))) {
printf("SGEMM_UNROLL_M=%d\n", SGEMM_DEFAULT_UNROLL_M); printf("SGEMM_UNROLL_M=%d\n", SGEMM_DEFAULT_UNROLL_M);
printf("SGEMM_UNROLL_N=%d\n", SGEMM_DEFAULT_UNROLL_N); printf("SGEMM_UNROLL_N=%d\n", SGEMM_DEFAULT_UNROLL_N);
printf("DGEMM_UNROLL_M=%d\n", DGEMM_DEFAULT_UNROLL_M); printf("DGEMM_UNROLL_M=%d\n", DGEMM_DEFAULT_UNROLL_M);

7
interface/trtri.c
View File

@ -60,7 +60,7 @@ static blasint (*trtri_parallel[])(blas_arg_t *, BLASLONG *, BLASLONG *, FLOAT *
}; };
#endif #endif
extern void dtrtri_lapack_(char *UPLO, char *DIAG, int *N, double *a, int *ldA, int *Info); extern void BLASFUNC(dtrtrilapack)(char *UPLO, char *DIAG, int *N, double *a, int *ldA, int *Info);
int NAME(char *UPLO, char *DIAG, blasint *N, FLOAT *a, blasint *ldA, blasint *Info){ int NAME(char *UPLO, char *DIAG, blasint *N, FLOAT *a, blasint *ldA, blasint *Info){
@ -137,7 +137,10 @@ int NAME(char *UPLO, char *DIAG, blasint *N, FLOAT *a, blasint *ldA, blasint *In
// double trtri_U single thread error // double trtri_U single thread error
// call dtrtri from lapack for a walk around. // call dtrtri from lapack for a walk around.
if(uplo==0){ if(uplo==0){
dtrtri_lapack_(UPLO, DIAG, N, a, ldA, Info); BLASFUNC(dtrtrilapack)(UPLO, DIAG, N, a, ldA, Info);
#ifndef PPC440
blas_memory_free(buffer);
#endif
return 0; return 0;
} }
#endif #endif

2
lapack/trtri/dtrtri_lapack.f
View File

@ -107,7 +107,7 @@
*> \ingroup doubleOTHERcomputational *> \ingroup doubleOTHERcomputational
* *
* ===================================================================== * =====================================================================
SUBROUTINE DTRTRI_LAPACK( UPLO, DIAG, N, A, LDA, INFO ) SUBROUTINE DTRTRILAPACK( UPLO, DIAG, N, A, LDA, INFO )
* *
* -- LAPACK computational routine (version 3.4.0) -- * -- LAPACK computational routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- LAPACK is a software package provided by Univ. of Tennessee, --