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authorSiddhesh Wani2015-05-25 14:46:31 +0530
committerSiddhesh Wani2015-05-25 14:46:31 +0530
commitdb464f35f5a10b58d9ed1085e0b462689adee583 (patch)
treede5cdbc71a54765d9fec33414630ae2c8904c9b8 /src/fortran/blas
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Original Version
Diffstat (limited to 'src/fortran/blas')
-rw-r--r--src/fortran/blas/Makefile.am86
-rw-r--r--src/fortran/blas/Makefile.in601
-rw-r--r--src/fortran/blas/README6
-rw-r--r--src/fortran/blas/blas_f/blasplus.def74
-rw-r--r--src/fortran/blas/blas_f/blasplusAtlas.def144
-rw-r--r--src/fortran/blas/blas_f/blasplus_DLL.suobin0 -> 3072 bytes
-rw-r--r--src/fortran/blas/blas_f/blasplus_DLL.vfproj124
-rw-r--r--src/fortran/blas/blas_f/blasplus_DLL_f2c.vcxproj370
-rw-r--r--src/fortran/blas/blas_f/blasplus_DLL_f2c.vcxproj.filters463
-rw-r--r--src/fortran/blas/dasum.f43
-rw-r--r--src/fortran/blas/daxpy.f48
-rw-r--r--src/fortran/blas/dcabs1.f8
-rw-r--r--src/fortran/blas/dcopy.f50
-rw-r--r--src/fortran/blas/ddot.f49
-rw-r--r--src/fortran/blas/dgbmv.f300
-rw-r--r--src/fortran/blas/dgemm.f315
-rw-r--r--src/fortran/blas/dgemv.f261
-rw-r--r--src/fortran/blas/dger.f157
-rw-r--r--src/fortran/blas/dnrm2.f60
-rw-r--r--src/fortran/blas/drot.f37
-rw-r--r--src/fortran/blas/drotg.f27
-rw-r--r--src/fortran/blas/dsbmv.f303
-rw-r--r--src/fortran/blas/dscal.f43
-rw-r--r--src/fortran/blas/dspmv.f262
-rw-r--r--src/fortran/blas/dspr.f198
-rw-r--r--src/fortran/blas/dspr2.f229
-rw-r--r--src/fortran/blas/dswap.f56
-rw-r--r--src/fortran/blas/dsymm.f294
-rw-r--r--src/fortran/blas/dsymv.f262
-rw-r--r--src/fortran/blas/dsyr.f197
-rw-r--r--src/fortran/blas/dsyr2.f230
-rw-r--r--src/fortran/blas/dsyr2k.f327
-rw-r--r--src/fortran/blas/dsyrk.f294
-rw-r--r--src/fortran/blas/dtbmv.f342
-rw-r--r--src/fortran/blas/dtbsv.f346
-rw-r--r--src/fortran/blas/dtpmv.f299
-rw-r--r--src/fortran/blas/dtpsv.f302
-rw-r--r--src/fortran/blas/dtrmm.f355
-rw-r--r--src/fortran/blas/dtrmv.f286
-rw-r--r--src/fortran/blas/dtrsm.f378
-rw-r--r--src/fortran/blas/dtrsv.f289
-rw-r--r--src/fortran/blas/dzasum.f34
-rw-r--r--src/fortran/blas/dznrm2.f67
-rw-r--r--src/fortran/blas/idamax.f39
-rw-r--r--src/fortran/blas/izamax.f41
-rw-r--r--src/fortran/blas/license.txt6
-rw-r--r--src/fortran/blas/lsame.f87
-rw-r--r--src/fortran/blas/xerbla.f46
-rw-r--r--src/fortran/blas/zaxpy.f34
-rw-r--r--src/fortran/blas/zcopy.f33
-rw-r--r--src/fortran/blas/zdotc.f36
-rw-r--r--src/fortran/blas/zdotu.f36
-rw-r--r--src/fortran/blas/zdscal.f30
-rw-r--r--src/fortran/blas/zgbmv.f322
-rw-r--r--src/fortran/blas/zgemm.f415
-rw-r--r--src/fortran/blas/zgemv.f281
-rw-r--r--src/fortran/blas/zgerc.f157
-rw-r--r--src/fortran/blas/zgeru.f157
-rw-r--r--src/fortran/blas/zhbmv.f309
-rw-r--r--src/fortran/blas/zhemm.f304
-rw-r--r--src/fortran/blas/zhemv.f266
-rw-r--r--src/fortran/blas/zher.f212
-rw-r--r--src/fortran/blas/zher2.f249
-rw-r--r--src/fortran/blas/zher2k.f372
-rw-r--r--src/fortran/blas/zherk.f330
-rw-r--r--src/fortran/blas/zhpmv.f270
-rw-r--r--src/fortran/blas/zhpr.f217
-rw-r--r--src/fortran/blas/zhpr2.f251
-rw-r--r--src/fortran/blas/zrotg.f21
-rw-r--r--src/fortran/blas/zscal.f29
-rw-r--r--src/fortran/blas/zswap.f36
-rw-r--r--src/fortran/blas/zsymm.f296
-rw-r--r--src/fortran/blas/zsyr2k.f324
-rw-r--r--src/fortran/blas/zsyrk.f293
-rw-r--r--src/fortran/blas/ztbmv.f377
-rw-r--r--src/fortran/blas/ztbsv.f381
-rw-r--r--src/fortran/blas/ztpmv.f338
-rw-r--r--src/fortran/blas/ztpsv.f341
-rw-r--r--src/fortran/blas/ztrmm.f392
-rw-r--r--src/fortran/blas/ztrmv.f321
-rw-r--r--src/fortran/blas/ztrsm.f414
-rw-r--r--src/fortran/blas/ztrsv.f324
82 files changed, 17003 insertions, 0 deletions
diff --git a/src/fortran/blas/Makefile.am b/src/fortran/blas/Makefile.am
new file mode 100644
index 0000000..6b8b83d
--- /dev/null
+++ b/src/fortran/blas/Makefile.am
@@ -0,0 +1,86 @@
+##########
+### Sylvestre Ledru <sylvestre.ledru@inria.fr>
+### INRIA - Scilab 2006
+##########
+
+BLAS_FORTRAN_SOURCES = zrotg.f \
+zhpr2.f \
+zher2k.f \
+dspr.f \
+xerbla.f \
+dcopy.f \
+dsyr2k.f \
+zsymm.f \
+zhemm.f \
+dtbsv.f \
+dtrmm.f \
+dscal.f \
+ddot.f \
+dgbmv.f \
+dtpsv.f \
+dtrsv.f \
+dgemv.f \
+idamax.f \
+dzasum.f \
+zcopy.f \
+zher.f \
+drot.f \
+ztbsv.f \
+dasum.f \
+ztrmm.f \
+dsbmv.f \
+zscal.f \
+dswap.f \
+zdotc.f \
+zgbmv.f \
+ztpsv.f \
+zgemv.f \
+ztrsv.f \
+izamax.f \
+dspmv.f \
+dcabs1.f \
+dsymv.f \
+zswap.f \
+zdotu.f \
+zgerc.f \
+dznrm2.f \
+dtbmv.f \
+zdscal.f \
+dger.f \
+dnrm2.f \
+zhpr.f \
+daxpy.f \
+zhbmv.f \
+zhemv.f \
+dtrsm.f \
+dgemm.f \
+dspr2.f \
+dtpmv.f \
+zgeru.f \
+dtrmv.f \
+dsyrk.f \
+lsame.f \
+ztbmv.f \
+dsyr2.f \
+zhpmv.f \
+zsyr2k.f \
+zaxpy.f \
+zgemm.f \
+drotg.f \
+ztrsm.f \
+ztpmv.f \
+dsyr.f \
+zsyrk.f \
+ztrmv.f \
+zherk.f \
+dsymm.f \
+zher2.f
+
+instdir = $(top_builddir)/lib
+
+pkglib_LTLIBRARIES = libsciblas.la
+
+HEAD = $(top_builddir)/includes/blas.h
+
+libsciblas_la_SOURCES = $(HEAD) $(BLAS_FORTRAN_SOURCES)
+
diff --git a/src/fortran/blas/Makefile.in b/src/fortran/blas/Makefile.in
new file mode 100644
index 0000000..b265181
--- /dev/null
+++ b/src/fortran/blas/Makefile.in
@@ -0,0 +1,601 @@
+# Makefile.in generated by automake 1.11.1 from Makefile.am.
+# @configure_input@
+
+# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
+# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation,
+# Inc.
+# This Makefile.in is free software; the Free Software Foundation
+# gives unlimited permission to copy and/or distribute it,
+# with or without modifications, as long as this notice is preserved.
+
+# This program is distributed in the hope that it will be useful,
+# but WITHOUT ANY WARRANTY, to the extent permitted by law; without
+# even the implied warranty of MERCHANTABILITY or FITNESS FOR A
+# PARTICULAR PURPOSE.
+
+@SET_MAKE@
+
+##########
+### Sylvestre Ledru <sylvestre.ledru@inria.fr>
+### INRIA - Scilab 2006
+##########
+
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+ zsyr2k.lo zaxpy.lo zgemm.lo drotg.lo ztrsm.lo ztpmv.lo dsyr.lo \
+ zsyrk.lo ztrmv.lo zherk.lo dsymm.lo zher2.lo
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+BLAS_FORTRAN_SOURCES = zrotg.f \
+zhpr2.f \
+zher2k.f \
+dspr.f \
+xerbla.f \
+dcopy.f \
+dsyr2k.f \
+zsymm.f \
+zhemm.f \
+dtbsv.f \
+dtrmm.f \
+dscal.f \
+ddot.f \
+dgbmv.f \
+dtpsv.f \
+dtrsv.f \
+dgemv.f \
+idamax.f \
+dzasum.f \
+zcopy.f \
+zher.f \
+drot.f \
+ztbsv.f \
+dasum.f \
+ztrmm.f \
+dsbmv.f \
+zscal.f \
+dswap.f \
+zdotc.f \
+zgbmv.f \
+ztpsv.f \
+zgemv.f \
+ztrsv.f \
+izamax.f \
+dspmv.f \
+dcabs1.f \
+dsymv.f \
+zswap.f \
+zdotu.f \
+zgerc.f \
+dznrm2.f \
+dtbmv.f \
+zdscal.f \
+dger.f \
+dnrm2.f \
+zhpr.f \
+daxpy.f \
+zhbmv.f \
+zhemv.f \
+dtrsm.f \
+dgemm.f \
+dspr2.f \
+dtpmv.f \
+zgeru.f \
+dtrmv.f \
+dsyrk.f \
+lsame.f \
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+dsyr2.f \
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+zaxpy.f \
+zgemm.f \
+drotg.f \
+ztrsm.f \
+ztpmv.f \
+dsyr.f \
+zsyrk.f \
+ztrmv.f \
+zherk.f \
+dsymm.f \
+zher2.f
+
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+pkglib_LTLIBRARIES = libsciblas.la
+HEAD = $(top_builddir)/includes/blas.h
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diff --git a/src/fortran/blas/README b/src/fortran/blas/README
new file mode 100644
index 0000000..8c28166
--- /dev/null
+++ b/src/fortran/blas/README
@@ -0,0 +1,6 @@
+This directory contains double precision version of the standard blas routines.
+ The makefile produces <SCIDIR>/libs/blas.a
+
+However this code is intended for use only if there is no other implementation
+of the BLAS already available on your machine;
+
diff --git a/src/fortran/blas/blas_f/blasplus.def b/src/fortran/blas/blas_f/blasplus.def
new file mode 100644
index 0000000..336d98a
--- /dev/null
+++ b/src/fortran/blas/blas_f/blasplus.def
@@ -0,0 +1,74 @@
+LIBRARY blasplus.dll
+
+EXPORTS
+ dasum
+ daxpy
+ dcopy
+ ddot
+ dgbmv
+ dgemm
+ dgemv
+ dger
+ dnrm2
+ drot
+ drotg
+ dsbmv
+ dscal
+ dspmv
+ dspr
+ dspr2
+ dswap
+ dsymm
+ dsymv
+ dsyr
+ dsyr2
+ dsyr2k
+ dsyrk
+ dtbmv
+ dtbsv
+ dtpmv
+ dtpsv
+ dtrmm
+ dtrmv
+ dtrsm
+ dtrsv
+ dzasum
+ dznrm2
+ idamax
+ izamax
+ xerbla
+ zaxpy
+ zcopy
+ zdotc
+ zdotu
+ zdscal
+ zgbmv
+ zgemm
+ zgemv
+ zgerc
+ zgeru
+ zhbmv
+ zhemm
+ zhemv
+ zher
+ zher2
+ zher2k
+ zherk
+ zhpmv
+ zhpr
+ zhpr2
+ zrotg
+ zscal
+ zswap
+ zsymm
+ zsyr2k
+ zsyrk
+ ztbmv
+ ztbsv
+ ztpmv
+ ztpsv
+ ztrmm
+ ztrmv
+ ztrsm
+ ztrsv
+ \ No newline at end of file
diff --git a/src/fortran/blas/blas_f/blasplusAtlas.def b/src/fortran/blas/blas_f/blasplusAtlas.def
new file mode 100644
index 0000000..d13dde9
--- /dev/null
+++ b/src/fortran/blas/blas_f/blasplusAtlas.def
@@ -0,0 +1,144 @@
+LIBRARY blasplus.dll
+
+EXPORTS
+ dasum_ @1
+ dasum = dasum_
+ daxpy_ @2
+ daxpy = daxpy_
+ dcopy_ @3
+ dcopy = dcopy_
+ ddot_ @4
+ ddot = ddot_
+ dgbmv_ @5
+ dgbmv = dgbmv_
+ dgemm_ @6
+ dgemm = dgemm_
+ dgemv_ @7
+ dgemv = dgemv_
+ dger_ @8
+ dger = dger_
+ dnrm2_ @9
+ dnrm2 = dnrm2_
+ drot_ @10
+ drot = drot_
+ drotg_ @11
+ drotg = drotg_
+ dsbmv_ @12
+ dsbmv = dsbmv_
+ dscal_ @13
+ dscal = dscal_
+ dspmv_ @14
+ dspmv = dspmv_
+ dspr_ @15
+ dspr = dspr_
+ dspr2_ @16
+ dspr2 = dspr2_
+ dswap_ @17
+ dswap = dswap_
+ dsymm_ @18
+ dsymm = dsymm_
+ dsymv_ @19
+ dsymv = dsymv_
+ dsyr_ @20
+ dsyr = dsyr_
+ dsyr2_ @21
+ dsyr2 = dsyr2_
+ dsyr2k_ @22
+ dsyr2k = dsyr2k_
+ dsyrk_ @23
+ dsyrk = dsyrk_
+ dtbmv_ @24
+ dtbmv = dtbmv_
+ dtbsv_ @25
+ dtbsv = dtbsv_
+ dtpmv_ @26
+ dtpmv = dtpmv_
+ dtpsv_ @27
+ dtpsv = dtpsv_
+ dtrmm_ @28
+ dtrmm = dtrmm_
+ dtrmv_ @29
+ dtrmv = dtrmv_
+ dtrsm_ @30
+ dtrsm = dtrsm_
+ dtrsv_ @31
+ dtrsv = dtrsv_
+ dzasum_ @32
+ dzasum = dzasum_
+ dznrm2_ @33
+ dznrm2 = dznrm2_
+ idamax_ @34
+ idamax = idamax_
+ izamax_ @35
+ izamax = izamax_
+ xerbla_ @36
+ xerbla = xerbla_
+ zaxpy_ @37
+ zaxpy = zaxpy_
+ zcopy_ @38
+ zcopy = zcopy_
+ zdotc_ @39
+ zdotc = zdotc_
+ zdotu_ @40
+ zdotu = zdotu_
+ zdscal_ @41
+ zdscal = zdscal_
+ zgbmv_ @42
+ zgbmv = zgbmv_
+ zgemm_ @43
+ zgemm = zgemm_
+ zgemv_ @44
+ zgemv = zgemv_
+ zgerc_ @45
+ zgerc = zgerc_
+ zgeru_ @46
+ zgeru = zgeru_
+ zhbmv_ @47
+ zhbmv = zhbmv_
+ zhemm_ @48
+ zhemm = zhemm_
+ zhemv_ @49
+ zhemv = zhemv_
+ zher_ @50
+ zher = zher_
+ zher2_ @51
+ zher2 = zher2_
+ zher2k_ @52
+ zher2k = zher2k_
+ zherk_ @53
+ zherk = zherk_
+ zhpmv_ @54
+ zhpmv = zhpmv_
+ zhpr_ @55
+ zhpr = zhpr_
+ zhpr2_ @56
+ zhpr2 = zhpr2_
+ zrotg_ @57
+ zrotg = zrotg_
+ zscal_ @58
+ zscal = zscal_
+ zswap_ @59
+ zswap = zswap_
+ zsymm_ @60
+ zsymm = zsymm_
+ zsyr2k_ @61
+ zsyr2k = zsyr2k_
+ zsyrk_ @62
+ zsyrk = zsyrk_
+ ztbmv_ @63
+ ztbmv = ztbmv_
+ ztbsv_ @64
+ ztbsv = ztbsv_
+ ztpmv_ @65
+ ztpmv = ztpmv_
+ ztpsv_ @66
+ ztpsv = ztpsv_
+ ztrmm_ @67
+ ztrmm =ztrmm_
+ ztrmv_ @68
+ ztrmv = ztrmv_
+ ztrsm_ @69
+ ztrsm = ztrsm_
+ ztrsv_ @70
+ ztrsv = ztrsv_
+ \ No newline at end of file
diff --git a/src/fortran/blas/blas_f/blasplus_DLL.suo b/src/fortran/blas/blas_f/blasplus_DLL.suo
new file mode 100644
index 0000000..b83ddab
--- /dev/null
+++ b/src/fortran/blas/blas_f/blasplus_DLL.suo
Binary files differ
diff --git a/src/fortran/blas/blas_f/blasplus_DLL.vfproj b/src/fortran/blas/blas_f/blasplus_DLL.vfproj
new file mode 100644
index 0000000..c1f337d
--- /dev/null
+++ b/src/fortran/blas/blas_f/blasplus_DLL.vfproj
@@ -0,0 +1,124 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<VisualStudioProject ProjectType="typeDynamicLibrary" ProjectCreator="Intel Fortran" Keyword="Dll" Version="11.0" ProjectIdGuid="{78BD64CE-181D-4D3F-9254-5C4F55C1EDC9}">
+ <Platforms>
+ <Platform Name="Win32"/>
+ <Platform Name="x64"/></Platforms>
+ <Configurations>
+ <Configuration Name="Debug|Win32" OutputDirectory="$(SolutionDir)bin\" IntermediateDirectory="$(ProjectDir)$(Configuration)\" DeleteExtensionsOnClean="*.obj;*.mod;*.pdb;*.asm;*.map;*.dyn;*.dpi;*.tmp;*.log;*.ilk;*.dll;$(TargetPath)" ConfigurationType="typeDynamicLibrary">
+ <Tool Name="VFFortranCompilerTool" AdditionalOptions="/dll " SuppressStartupBanner="true" DebugInformationFormat="debugEnabled" Optimization="optimizeDisabled" F77RuntimeCompatibility="true" CallingConvention="callConventionCRef" ModulePath="$(INTDIR)/" ObjectFile="$(INTDIR)/" Traceback="true" BoundsCheck="true" RuntimeLibrary="rtMultiThreadedDebug"/>
+ <Tool Name="VFLinkerTool" OutputFile="$(SolutionDir)bin/blasplus.dll" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" IgnoreDefaultLibraryNames="msvcrtd.lib" ModuleDefinitionFile="blasplus.def" GenerateDebugInformation="true" SubSystem="subSystemWindows" ImportLibrary="$(SolutionDir)bin/blasplus.lib" LinkDLL="true" AdditionalDependencies="libcmtd.lib"/>
+ <Tool Name="VFResourceCompilerTool"/>
+ <Tool Name="VFMidlTool" SuppressStartupBanner="true" HeaderFileName="$(InputName).h" TypeLibraryName="$(IntDir)/$(InputName).tlb"/>
+ <Tool Name="VFCustomBuildTool"/>
+ <Tool Name="VFPreLinkEventTool"/>
+ <Tool Name="VFPreBuildEventTool"/>
+ <Tool Name="VFPostBuildEventTool" CommandLine="lib /def:blasplusAtlas.def /Machine:X86 /OUT:$(SolutionDir)bin/blasplus.lib" Description="Create blasplus.lib for Scilab"/>
+ <Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration>
+ <Configuration Name="Release|Win32" OutputDirectory="$(SolutionDir)bin\" IntermediateDirectory="$(ProjectDir)$(Configuration)\" DeleteExtensionsOnClean="*.obj;*.mod;*.pdb;*.asm;*.map;*.dyn;*.dpi;*.tmp;*.log;*.ilk;*.dll;$(TargetPath)" ConfigurationType="typeDynamicLibrary">
+ <Tool Name="VFFortranCompilerTool" AdditionalOptions="/dll" SuppressStartupBanner="true" AlternateParameterSyntax="false" F77RuntimeCompatibility="true" BackslashAsNormalCharacter="false" FPS4Libs="false" CallingConvention="callConventionCRef" ModulePath="$(INTDIR)/" ObjectFile="$(INTDIR)/" RuntimeLibrary="rtMultiThreaded"/>
+ <Tool Name="VFLinkerTool" OutputFile="$(SolutionDir)bin/blasplus.dll" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" IgnoreDefaultLibraryNames="msvcrt.lib" ModuleDefinitionFile="blasplus.def" SubSystem="subSystemWindows" SupportUnloadOfDelayLoadedDLL="true" ImportLibrary="$(SolutionDir)bin/blasplus.lib" LinkDLL="true" AdditionalDependencies="libcmt.lib"/>
+ <Tool Name="VFResourceCompilerTool"/>
+ <Tool Name="VFMidlTool" SuppressStartupBanner="true" HeaderFileName="$(InputName).h" TypeLibraryName="$(IntDir)/$(InputName).tlb"/>
+ <Tool Name="VFCustomBuildTool"/>
+ <Tool Name="VFPreLinkEventTool"/>
+ <Tool Name="VFPreBuildEventTool"/>
+ <Tool Name="VFPostBuildEventTool" CommandLine="lib /def:blasplusAtlas.def /Machine:X86 /OUT:$(SolutionDir)bin/blasplus.lib" Description="Create blasplus.lib (Atlas compatibility)"/>
+ <Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration>
+ <Configuration Name="Debug|x64" OutputDirectory="$(SolutionDir)bin\" IntermediateDirectory="$(ProjectDir)$(Configuration)\" DeleteExtensionsOnClean="*.obj;*.mod;*.pdb;*.asm;*.map;*.dyn;*.dpi;*.tmp;*.log;*.ilk;*.dll;$(TargetPath)" ConfigurationType="typeDynamicLibrary">
+ <Tool Name="VFFortranCompilerTool" AdditionalOptions="/dll " SuppressStartupBanner="true" DebugInformationFormat="debugEnabled" Optimization="optimizeDisabled" F77RuntimeCompatibility="true" CallingConvention="callConventionCRef" ModulePath="$(INTDIR)/" ObjectFile="$(INTDIR)/" Traceback="true" BoundsCheck="true" RuntimeLibrary="rtMultiThreadedDebugDLL"/>
+ <Tool Name="VFLinkerTool" OutputFile="$(SolutionDir)bin/blasplus.dll" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" IgnoreDefaultLibraryNames="msvcrtd.lib" ModuleDefinitionFile="blasplus.def" GenerateDebugInformation="true" SubSystem="subSystemWindows" ImportLibrary="$(SolutionDir)bin/blasplus.lib" LinkDLL="true" AdditionalDependencies="libcmtd.lib"/>
+ <Tool Name="VFResourceCompilerTool"/>
+ <Tool Name="VFMidlTool" SuppressStartupBanner="true" HeaderFileName="$(InputName).h" TypeLibraryName="$(IntDir)/$(InputName).tlb"/>
+ <Tool Name="VFCustomBuildTool"/>
+ <Tool Name="VFPreLinkEventTool"/>
+ <Tool Name="VFPreBuildEventTool"/>
+ <Tool Name="VFPostBuildEventTool" CommandLine="lib /def:blasplusAtlas.def /Machine:X64 /OUT:$(SolutionDir)bin/blasplus.lib" Description="Create blasplus.lib for Scilab"/>
+ <Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration>
+ <Configuration Name="Release|x64" OutputDirectory="$(SolutionDir)bin\" IntermediateDirectory="$(ProjectDir)$(Configuration)\" DeleteExtensionsOnClean="*.obj;*.mod;*.pdb;*.asm;*.map;*.dyn;*.dpi;*.tmp;*.log;*.ilk;*.dll;$(TargetPath)" ConfigurationType="typeDynamicLibrary">
+ <Tool Name="VFFortranCompilerTool" AdditionalOptions="/dll" SuppressStartupBanner="true" AlternateParameterSyntax="false" F77RuntimeCompatibility="true" BackslashAsNormalCharacter="false" FPS4Libs="false" CallingConvention="callConventionCRef" ModulePath="$(INTDIR)/" ObjectFile="$(INTDIR)/"/>
+ <Tool Name="VFLinkerTool" OutputFile="$(SolutionDir)bin/blasplus.dll" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" IgnoreDefaultLibraryNames="msvcrt.lib" ModuleDefinitionFile="blasplus.def" SubSystem="subSystemWindows" SupportUnloadOfDelayLoadedDLL="true" ImportLibrary="$(SolutionDir)bin/blasplus.lib" LinkDLL="true" AdditionalDependencies="libcmt.lib"/>
+ <Tool Name="VFResourceCompilerTool"/>
+ <Tool Name="VFMidlTool" SuppressStartupBanner="true" HeaderFileName="$(InputName).h" TypeLibraryName="$(IntDir)/$(InputName).tlb"/>
+ <Tool Name="VFCustomBuildTool"/>
+ <Tool Name="VFPreLinkEventTool"/>
+ <Tool Name="VFPreBuildEventTool"/>
+ <Tool Name="VFPostBuildEventTool" CommandLine="lib /def:blasplusAtlas.def /Machine:X64 /OUT:$(SolutionDir)bin/blasplus.lib" Description="Create blasplus.lib (Atlas compatibility)"/>
+ <Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration></Configurations>
+ <Files>
+ <Filter Name="Header Files" Filter="fi;fd"/>
+ <Filter Name="Resource Files" Filter="rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe"/>
+ <Filter Name="Source Files" Filter="f90;for;f;fpp;ftn;def;odl;idl">
+ <File RelativePath="..\dasum.f"/>
+ <File RelativePath="..\daxpy.f"/>
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+</Project> \ No newline at end of file
diff --git a/src/fortran/blas/dasum.f b/src/fortran/blas/dasum.f
new file mode 100644
index 0000000..28b128a
--- /dev/null
+++ b/src/fortran/blas/dasum.f
@@ -0,0 +1,43 @@
+ double precision function dasum(n,dx,incx)
+c
+c takes the sum of the absolute values.
+c jack dongarra, linpack, 3/11/78.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dtemp
+ integer i,incx,m,mp1,n,nincx
+c
+ dasum = 0.0d0
+ dtemp = 0.0d0
+ if( n.le.0 .or. incx.le.0 )return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ nincx = n*incx
+ do 10 i = 1,nincx,incx
+ dtemp = dtemp + dabs(dx(i))
+ 10 continue
+ dasum = dtemp
+ return
+c
+c code for increment equal to 1
+c
+c
+c clean-up loop
+c
+ 20 m = mod(n,6)
+ if( m .eq. 0 ) go to 40
+ do 30 i = 1,m
+ dtemp = dtemp + dabs(dx(i))
+ 30 continue
+ if( n .lt. 6 ) go to 60
+ 40 mp1 = m + 1
+ do 50 i = mp1,n,6
+ dtemp = dtemp + dabs(dx(i)) + dabs(dx(i + 1)) + dabs(dx(i + 2))
+ * + dabs(dx(i + 3)) + dabs(dx(i + 4)) + dabs(dx(i + 5))
+ 50 continue
+ 60 dasum = dtemp
+ return
+ end
diff --git a/src/fortran/blas/daxpy.f b/src/fortran/blas/daxpy.f
new file mode 100644
index 0000000..91daa3c
--- /dev/null
+++ b/src/fortran/blas/daxpy.f
@@ -0,0 +1,48 @@
+ subroutine daxpy(n,da,dx,incx,dy,incy)
+c
+c constant times a vector plus a vector.
+c uses unrolled loops for increments equal to one.
+c jack dongarra, linpack, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dy(*),da
+ integer i,incx,incy,ix,iy,m,mp1,n
+c
+ if(n.le.0)return
+ if (da .eq. 0.0d0) return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ dy(iy) = dy(iy) + da*dx(ix)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+c
+c
+c clean-up loop
+c
+ 20 m = mod(n,4)
+ if( m .eq. 0 ) go to 40
+ do 30 i = 1,m
+ dy(i) = dy(i) + da*dx(i)
+ 30 continue
+ if( n .lt. 4 ) return
+ 40 mp1 = m + 1
+ do 50 i = mp1,n,4
+ dy(i) = dy(i) + da*dx(i)
+ dy(i + 1) = dy(i + 1) + da*dx(i + 1)
+ dy(i + 2) = dy(i + 2) + da*dx(i + 2)
+ dy(i + 3) = dy(i + 3) + da*dx(i + 3)
+ 50 continue
+ return
+ end
diff --git a/src/fortran/blas/dcabs1.f b/src/fortran/blas/dcabs1.f
new file mode 100644
index 0000000..385ea5e
--- /dev/null
+++ b/src/fortran/blas/dcabs1.f
@@ -0,0 +1,8 @@
+ double precision function dcabs1(z)
+ double complex z,zz
+ double precision t(2)
+ equivalence (zz,t(1))
+ zz = z
+ dcabs1 = dabs(t(1)) + dabs(t(2))
+ return
+ end
diff --git a/src/fortran/blas/dcopy.f b/src/fortran/blas/dcopy.f
new file mode 100644
index 0000000..e168927
--- /dev/null
+++ b/src/fortran/blas/dcopy.f
@@ -0,0 +1,50 @@
+ subroutine dcopy(n,dx,incx,dy,incy)
+c
+c copies a vector, x, to a vector, y.
+c uses unrolled loops for increments equal to one.
+c jack dongarra, linpack, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dy(*)
+ integer i,incx,incy,ix,iy,m,mp1,n
+c
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ dy(iy) = dx(ix)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+c
+c
+c clean-up loop
+c
+ 20 m = mod(n,7)
+ if( m .eq. 0 ) go to 40
+ do 30 i = 1,m
+ dy(i) = dx(i)
+ 30 continue
+ if( n .lt. 7 ) return
+ 40 mp1 = m + 1
+ do 50 i = mp1,n,7
+ dy(i) = dx(i)
+ dy(i + 1) = dx(i + 1)
+ dy(i + 2) = dx(i + 2)
+ dy(i + 3) = dx(i + 3)
+ dy(i + 4) = dx(i + 4)
+ dy(i + 5) = dx(i + 5)
+ dy(i + 6) = dx(i + 6)
+ 50 continue
+ return
+ end
diff --git a/src/fortran/blas/ddot.f b/src/fortran/blas/ddot.f
new file mode 100644
index 0000000..e04c7c2
--- /dev/null
+++ b/src/fortran/blas/ddot.f
@@ -0,0 +1,49 @@
+ double precision function ddot(n,dx,incx,dy,incy)
+c
+c forms the dot product of two vectors.
+c uses unrolled loops for increments equal to one.
+c jack dongarra, linpack, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dy(*),dtemp
+ integer i,incx,incy,ix,iy,m,mp1,n
+c
+ ddot = 0.0d0
+ dtemp = 0.0d0
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ dtemp = dtemp + dx(ix)*dy(iy)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ ddot = dtemp
+ return
+c
+c code for both increments equal to 1
+c
+c
+c clean-up loop
+c
+ 20 m = mod(n,5)
+ if( m .eq. 0 ) go to 40
+ do 30 i = 1,m
+ dtemp = dtemp + dx(i)*dy(i)
+ 30 continue
+ if( n .lt. 5 ) go to 60
+ 40 mp1 = m + 1
+ do 50 i = mp1,n,5
+ dtemp = dtemp + dx(i)*dy(i) + dx(i + 1)*dy(i + 1) +
+ * dx(i + 2)*dy(i + 2) + dx(i + 3)*dy(i + 3) + dx(i + 4)*dy(i + 4)
+ 50 continue
+ 60 ddot = dtemp
+ return
+ end
diff --git a/src/fortran/blas/dgbmv.f b/src/fortran/blas/dgbmv.f
new file mode 100644
index 0000000..e9c8f76
--- /dev/null
+++ b/src/fortran/blas/dgbmv.f
@@ -0,0 +1,300 @@
+ SUBROUTINE DGBMV ( TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA, BETA
+ INTEGER INCX, INCY, KL, KU, LDA, M, N
+ CHARACTER*1 TRANS
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DGBMV performs one of the matrix-vector operations
+*
+* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are vectors and A is an
+* m by n band matrix, with kl sub-diagonals and ku super-diagonals.
+*
+* Parameters
+* ==========
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
+*
+* TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
+*
+* TRANS = 'C' or 'c' y := alpha*A'*x + beta*y.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* KL - INTEGER.
+* On entry, KL specifies the number of sub-diagonals of the
+* matrix A. KL must satisfy 0 .le. KL.
+* Unchanged on exit.
+*
+* KU - INTEGER.
+* On entry, KU specifies the number of super-diagonals of the
+* matrix A. KU must satisfy 0 .le. KU.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry, the leading ( kl + ku + 1 ) by n part of the
+* array A must contain the matrix of coefficients, supplied
+* column by column, with the leading diagonal of the matrix in
+* row ( ku + 1 ) of the array, the first super-diagonal
+* starting at position 2 in row ku, the first sub-diagonal
+* starting at position 1 in row ( ku + 2 ), and so on.
+* Elements in the array A that do not correspond to elements
+* in the band matrix (such as the top left ku by ku triangle)
+* are not referenced.
+* The following program segment will transfer a band matrix
+* from conventional full matrix storage to band storage:
+*
+* DO 20, J = 1, N
+* K = KU + 1 - J
+* DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL )
+* A( K + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( kl + ku + 1 ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
+* Before entry, the incremented array X must contain the
+* vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of DIMENSION at least
+* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
+* Before entry, the incremented array Y must contain the
+* vector y. On exit, Y is overwritten by the updated vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, IY, J, JX, JY, K, KUP1, KX, KY,
+ $ LENX, LENY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 1
+ ELSE IF( M.LT.0 )THEN
+ INFO = 2
+ ELSE IF( N.LT.0 )THEN
+ INFO = 3
+ ELSE IF( KL.LT.0 )THEN
+ INFO = 4
+ ELSE IF( KU.LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.( KL + KU + 1 ) )THEN
+ INFO = 8
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 10
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 13
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DGBMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set LENX and LENY, the lengths of the vectors x and y, and set
+* up the start points in X and Y.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ LENX = N
+ LENY = M
+ ELSE
+ LENX = M
+ LENY = N
+ END IF
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( LENX - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( LENY - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the band part of A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, LENY
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, LENY
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, LENY
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, LENY
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ KUP1 = KU + 1
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form y := alpha*A*x + y.
+*
+ JX = KX
+ IF( INCY.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ K = KUP1 - J
+ DO 50, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ Y( I ) = Y( I ) + TEMP*A( K + I, J )
+ 50 CONTINUE
+ END IF
+ JX = JX + INCX
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IY = KY
+ K = KUP1 - J
+ DO 70, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ Y( IY ) = Y( IY ) + TEMP*A( K + I, J )
+ IY = IY + INCY
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ IF( J.GT.KU )
+ $ KY = KY + INCY
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y := alpha*A'*x + y.
+*
+ JY = KY
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = 1, N
+ TEMP = ZERO
+ K = KUP1 - J
+ DO 90, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ TEMP = TEMP + A( K + I, J )*X( I )
+ 90 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ 100 CONTINUE
+ ELSE
+ DO 120, J = 1, N
+ TEMP = ZERO
+ IX = KX
+ K = KUP1 - J
+ DO 110, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ TEMP = TEMP + A( K + I, J )*X( IX )
+ IX = IX + INCX
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ IF( J.GT.KU )
+ $ KX = KX + INCX
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DGBMV .
+*
+ END
diff --git a/src/fortran/blas/dgemm.f b/src/fortran/blas/dgemm.f
new file mode 100644
index 0000000..1531fd5
--- /dev/null
+++ b/src/fortran/blas/dgemm.f
@@ -0,0 +1,315 @@
+ SUBROUTINE DGEMM ( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 TRANSA, TRANSB
+ INTEGER M, N, K, LDA, LDB, LDC
+ DOUBLE PRECISION ALPHA, BETA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+C WARNING : this routine has been modified for Scilab (see comments
+C Cscilab) because algorithm is not ok if A matrix contains NaN
+C (NaN*0 should be NaN, not 0)
+* Purpose
+* =======
+*
+* DGEMM performs one of the matrix-matrix operations
+*
+* C := alpha*op( A )*op( B ) + beta*C,
+*
+* where op( X ) is one of
+*
+* op( X ) = X or op( X ) = X',
+*
+* alpha and beta are scalars, and A, B and C are matrices, with op( A )
+* an m by k matrix, op( B ) a k by n matrix and C an m by n matrix.
+*
+* Parameters
+* ==========
+*
+* TRANSA - CHARACTER*1.
+* On entry, TRANSA specifies the form of op( A ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSA = 'N' or 'n', op( A ) = A.
+*
+* TRANSA = 'T' or 't', op( A ) = A'.
+*
+* TRANSA = 'C' or 'c', op( A ) = A'.
+*
+* Unchanged on exit.
+*
+* TRANSB - CHARACTER*1.
+* On entry, TRANSB specifies the form of op( B ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSB = 'N' or 'n', op( B ) = B.
+*
+* TRANSB = 'T' or 't', op( B ) = B'.
+*
+* TRANSB = 'C' or 'c', op( B ) = B'.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix
+* op( A ) and of the matrix C. M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix
+* op( B ) and the number of columns of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry, K specifies the number of columns of the matrix
+* op( A ) and the number of rows of the matrix op( B ). K must
+* be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANSA = 'N' or 'n', and is m otherwise.
+* Before entry with TRANSA = 'N' or 'n', the leading m by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by m part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANSA = 'N' or 'n' then
+* LDA must be at least max( 1, m ), otherwise LDA must be at
+* least max( 1, k ).
+* Unchanged on exit.
+*
+* B - DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is
+* n when TRANSB = 'N' or 'n', and is k otherwise.
+* Before entry with TRANSB = 'N' or 'n', the leading k by n
+* part of the array B must contain the matrix B, otherwise
+* the leading n by k part of the array B must contain the
+* matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. When TRANSB = 'N' or 'n' then
+* LDB must be at least max( 1, k ), otherwise LDB must be at
+* least max( 1, n ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then C need not be set on input.
+* Unchanged on exit.
+*
+* C - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+* Before entry, the leading m by n part of the array C must
+* contain the matrix C, except when beta is zero, in which
+* case C need not be set on entry.
+* On exit, the array C is overwritten by the m by n matrix
+* ( alpha*op( A )*op( B ) + beta*C ).
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL NOTA, NOTB
+ INTEGER I, INFO, J, L, NCOLA, NROWA, NROWB
+ DOUBLE PRECISION TEMP
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Set NOTA and NOTB as true if A and B respectively are not
+* transposed and set NROWA, NCOLA and NROWB as the number of rows
+* and columns of A and the number of rows of B respectively.
+*
+ NOTA = LSAME( TRANSA, 'N' )
+ NOTB = LSAME( TRANSB, 'N' )
+ IF( NOTA )THEN
+ NROWA = M
+ NCOLA = K
+ ELSE
+ NROWA = K
+ NCOLA = M
+ END IF
+ IF( NOTB )THEN
+ NROWB = K
+ ELSE
+ NROWB = N
+ END IF
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( ( .NOT.NOTA ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'C' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'T' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.NOTB ).AND.
+ $ ( .NOT.LSAME( TRANSB, 'C' ) ).AND.
+ $ ( .NOT.LSAME( TRANSB, 'T' ) ) )THEN
+ INFO = 2
+ ELSE IF( M .LT.0 )THEN
+ INFO = 3
+ ELSE IF( N .LT.0 )THEN
+ INFO = 4
+ ELSE IF( K .LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 8
+ ELSE IF( LDB.LT.MAX( 1, NROWB ) )THEN
+ INFO = 10
+ ELSE IF( LDC.LT.MAX( 1, M ) )THEN
+ INFO = 13
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DGEMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And if alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( NOTB )THEN
+ IF( NOTA )THEN
+*
+* Form C := alpha*A*B + beta*C.
+*
+ DO 90, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 50, I = 1, M
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 60, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 60 CONTINUE
+ END IF
+ DO 80, L = 1, K
+Cscilab IF( B( L, J ).NE.ZERO )THEN
+ TEMP = ALPHA*B( L, J )
+ DO 70, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 70 CONTINUE
+Cscilab END IF
+ 80 CONTINUE
+ 90 CONTINUE
+ ELSE
+*
+* Form C := alpha*A'*B + beta*C
+*
+ DO 120, J = 1, N
+ DO 110, I = 1, M
+ TEMP = ZERO
+ DO 100, L = 1, K
+ TEMP = TEMP + A( L, I )*B( L, J )
+ 100 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 110 CONTINUE
+ 120 CONTINUE
+ END IF
+ ELSE
+ IF( NOTA )THEN
+*
+* Form C := alpha*A*B' + beta*C
+*
+ DO 170, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 130, I = 1, M
+ C( I, J ) = ZERO
+ 130 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 140, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 140 CONTINUE
+ END IF
+ DO 160, L = 1, K
+Cscilab IF( B( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*B( J, L )
+ DO 150, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 150 CONTINUE
+Cscilab END IF
+ 160 CONTINUE
+ 170 CONTINUE
+ ELSE
+*
+* Form C := alpha*A'*B' + beta*C
+*
+ DO 200, J = 1, N
+ DO 190, I = 1, M
+ TEMP = ZERO
+ DO 180, L = 1, K
+ TEMP = TEMP + A( L, I )*B( J, L )
+ 180 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 190 CONTINUE
+ 200 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DGEMM .
+*
+ END
diff --git a/src/fortran/blas/dgemv.f b/src/fortran/blas/dgemv.f
new file mode 100644
index 0000000..8ef80b3
--- /dev/null
+++ b/src/fortran/blas/dgemv.f
@@ -0,0 +1,261 @@
+ SUBROUTINE DGEMV ( TRANS, M, N, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA, BETA
+ INTEGER INCX, INCY, LDA, M, N
+ CHARACTER*1 TRANS
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DGEMV performs one of the matrix-vector operations
+*
+* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are vectors and A is an
+* m by n matrix.
+*
+* Parameters
+* ==========
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
+*
+* TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
+*
+* TRANS = 'C' or 'c' y := alpha*A'*x + beta*y.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry, the leading m by n part of the array A must
+* contain the matrix of coefficients.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
+* Before entry, the incremented array X must contain the
+* vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of DIMENSION at least
+* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
+* Before entry with BETA non-zero, the incremented array Y
+* must contain the vector y. On exit, Y is overwritten by the
+* updated vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY, LENX, LENY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 1
+ ELSE IF( M.LT.0 )THEN
+ INFO = 2
+ ELSE IF( N.LT.0 )THEN
+ INFO = 3
+ ELSE IF( LDA.LT.MAX( 1, M ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DGEMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set LENX and LENY, the lengths of the vectors x and y, and set
+* up the start points in X and Y.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ LENX = N
+ LENY = M
+ ELSE
+ LENX = M
+ LENY = N
+ END IF
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( LENX - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( LENY - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, LENY
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, LENY
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, LENY
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, LENY
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form y := alpha*A*x + y.
+*
+ JX = KX
+ IF( INCY.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ DO 50, I = 1, M
+ Y( I ) = Y( I ) + TEMP*A( I, J )
+ 50 CONTINUE
+ END IF
+ JX = JX + INCX
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IY = KY
+ DO 70, I = 1, M
+ Y( IY ) = Y( IY ) + TEMP*A( I, J )
+ IY = IY + INCY
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y := alpha*A'*x + y.
+*
+ JY = KY
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = 1, N
+ TEMP = ZERO
+ DO 90, I = 1, M
+ TEMP = TEMP + A( I, J )*X( I )
+ 90 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ 100 CONTINUE
+ ELSE
+ DO 120, J = 1, N
+ TEMP = ZERO
+ IX = KX
+ DO 110, I = 1, M
+ TEMP = TEMP + A( I, J )*X( IX )
+ IX = IX + INCX
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DGEMV .
+*
+ END
diff --git a/src/fortran/blas/dger.f b/src/fortran/blas/dger.f
new file mode 100644
index 0000000..d316000
--- /dev/null
+++ b/src/fortran/blas/dger.f
@@ -0,0 +1,157 @@
+ SUBROUTINE DGER ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, INCY, LDA, M, N
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DGER performs the rank 1 operation
+*
+* A := alpha*x*y' + A,
+*
+* where alpha is a scalar, x is an m element vector, y is an n element
+* vector and A is an m by n matrix.
+*
+* Parameters
+* ==========
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( m - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the m
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry, the leading m by n part of the array A must
+* contain the matrix of coefficients. On exit, A is
+* overwritten by the updated matrix.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JY, KX
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( M.LT.0 )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( LDA.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DGER ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( INCY.GT.0 )THEN
+ JY = 1
+ ELSE
+ JY = 1 - ( N - 1 )*INCY
+ END IF
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( Y( JY ).NE.ZERO )THEN
+ TEMP = ALPHA*Y( JY )
+ DO 10, I = 1, M
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 10 CONTINUE
+ END IF
+ JY = JY + INCY
+ 20 CONTINUE
+ ELSE
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( M - 1 )*INCX
+ END IF
+ DO 40, J = 1, N
+ IF( Y( JY ).NE.ZERO )THEN
+ TEMP = ALPHA*Y( JY )
+ IX = KX
+ DO 30, I = 1, M
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ END IF
+ JY = JY + INCY
+ 40 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of DGER .
+*
+ END
diff --git a/src/fortran/blas/dnrm2.f b/src/fortran/blas/dnrm2.f
new file mode 100644
index 0000000..119d047
--- /dev/null
+++ b/src/fortran/blas/dnrm2.f
@@ -0,0 +1,60 @@
+ DOUBLE PRECISION FUNCTION DNRM2 ( N, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+* .. Array Arguments ..
+ DOUBLE PRECISION X( * )
+* ..
+*
+* DNRM2 returns the euclidean norm of a vector via the function
+* name, so that
+*
+* DNRM2 := sqrt( x'*x )
+*
+*
+*
+* -- This version written on 25-October-1982.
+* Modified on 14-October-1993 to inline the call to DLASSQ.
+* Sven Hammarling, Nag Ltd.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ INTEGER IX
+ DOUBLE PRECISION ABSXI, NORM, SCALE, SSQ
+* .. Intrinsic Functions ..
+ INTRINSIC ABS, SQRT
+* ..
+* .. Executable Statements ..
+ IF( N.LT.1 .OR. INCX.LT.1 )THEN
+ NORM = ZERO
+ ELSE IF( N.EQ.1 )THEN
+ NORM = ABS( X( 1 ) )
+ ELSE
+ SCALE = ZERO
+ SSQ = ONE
+* The following loop is equivalent to this call to the LAPACK
+* auxiliary routine:
+* CALL DLASSQ( N, X, INCX, SCALE, SSQ )
+*
+ DO 10, IX = 1, 1 + ( N - 1 )*INCX, INCX
+ IF( X( IX ).NE.ZERO )THEN
+ ABSXI = ABS( X( IX ) )
+ IF( SCALE.LT.ABSXI )THEN
+ SSQ = ONE + SSQ*( SCALE/ABSXI )**2
+ SCALE = ABSXI
+ ELSE
+ SSQ = SSQ + ( ABSXI/SCALE )**2
+ END IF
+ END IF
+ 10 CONTINUE
+ NORM = SCALE * SQRT( SSQ )
+ END IF
+*
+ DNRM2 = NORM
+ RETURN
+*
+* End of DNRM2.
+*
+ END
diff --git a/src/fortran/blas/drot.f b/src/fortran/blas/drot.f
new file mode 100644
index 0000000..b9ea3bd
--- /dev/null
+++ b/src/fortran/blas/drot.f
@@ -0,0 +1,37 @@
+ subroutine drot (n,dx,incx,dy,incy,c,s)
+c
+c applies a plane rotation.
+c jack dongarra, linpack, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dy(*),dtemp,c,s
+ integer i,incx,incy,ix,iy,n
+c
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments not equal
+c to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ dtemp = c*dx(ix) + s*dy(iy)
+ dy(iy) = c*dy(iy) - s*dx(ix)
+ dx(ix) = dtemp
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+c
+ 20 do 30 i = 1,n
+ dtemp = c*dx(i) + s*dy(i)
+ dy(i) = c*dy(i) - s*dx(i)
+ dx(i) = dtemp
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/drotg.f b/src/fortran/blas/drotg.f
new file mode 100644
index 0000000..67838e2
--- /dev/null
+++ b/src/fortran/blas/drotg.f
@@ -0,0 +1,27 @@
+ subroutine drotg(da,db,c,s)
+c
+c construct givens plane rotation.
+c jack dongarra, linpack, 3/11/78.
+c
+ double precision da,db,c,s,roe,scale,r,z
+c
+ roe = db
+ if( dabs(da) .gt. dabs(db) ) roe = da
+ scale = dabs(da) + dabs(db)
+ if( scale .ne. 0.0d0 ) go to 10
+ c = 1.0d0
+ s = 0.0d0
+ r = 0.0d0
+ z = 0.0d0
+ go to 20
+ 10 r = scale*dsqrt((da/scale)**2 + (db/scale)**2)
+ r = dsign(1.0d0,roe)*r
+ c = da/r
+ s = db/r
+ z = 1.0d0
+ if( dabs(da) .gt. dabs(db) ) z = s
+ if( dabs(db) .ge. dabs(da) .and. c .ne. 0.0d0 ) z = 1.0d0/c
+ 20 da = r
+ db = z
+ return
+ end
diff --git a/src/fortran/blas/dsbmv.f b/src/fortran/blas/dsbmv.f
new file mode 100644
index 0000000..272042a
--- /dev/null
+++ b/src/fortran/blas/dsbmv.f
@@ -0,0 +1,303 @@
+ SUBROUTINE DSBMV ( UPLO, N, K, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA, BETA
+ INTEGER INCX, INCY, K, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSBMV performs the matrix-vector operation
+*
+* y := alpha*A*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are n element vectors and
+* A is an n by n symmetric band matrix, with k super-diagonals.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the band matrix A is being supplied as
+* follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* being supplied.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* being supplied.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry, K specifies the number of super-diagonals of the
+* matrix A. K must satisfy 0 .le. K.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
+* by n part of the array A must contain the upper triangular
+* band part of the symmetric matrix, supplied column by
+* column, with the leading diagonal of the matrix in row
+* ( k + 1 ) of the array, the first super-diagonal starting at
+* position 2 in row k, and so on. The top left k by k triangle
+* of the array A is not referenced.
+* The following program segment will transfer the upper
+* triangular part of a symmetric band matrix from conventional
+* full matrix storage to band storage:
+*
+* DO 20, J = 1, N
+* M = K + 1 - J
+* DO 10, I = MAX( 1, J - K ), J
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
+* by n part of the array A must contain the lower triangular
+* band part of the symmetric matrix, supplied column by
+* column, with the leading diagonal of the matrix in row 1 of
+* the array, the first sub-diagonal starting at position 1 in
+* row 2, and so on. The bottom right k by k triangle of the
+* array A is not referenced.
+* The following program segment will transfer the lower
+* triangular part of a symmetric band matrix from conventional
+* full matrix storage to band storage:
+*
+* DO 20, J = 1, N
+* M = 1 - J
+* DO 10, I = J, MIN( N, J + K )
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( k + 1 ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the
+* vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the
+* vector y. On exit, Y is overwritten by the updated vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, KPLUS1, KX, KY, L
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( K.LT.0 )THEN
+ INFO = 3
+ ELSE IF( LDA.LT.( K + 1 ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSBMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set up the start points in X and Y.
+*
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of the array A
+* are accessed sequentially with one pass through A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, N
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, N
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, N
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, N
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form y when upper triangle of A is stored.
+*
+ KPLUS1 = K + 1
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ L = KPLUS1 - J
+ DO 50, I = MAX( 1, J - K ), J - 1
+ Y( I ) = Y( I ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + A( L + I, J )*X( I )
+ 50 CONTINUE
+ Y( J ) = Y( J ) + TEMP1*A( KPLUS1, J ) + ALPHA*TEMP2
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 80, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ IX = KX
+ IY = KY
+ L = KPLUS1 - J
+ DO 70, I = MAX( 1, J - K ), J - 1
+ Y( IY ) = Y( IY ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + A( L + I, J )*X( IX )
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ Y( JY ) = Y( JY ) + TEMP1*A( KPLUS1, J ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ IF( J.GT.K )THEN
+ KX = KX + INCX
+ KY = KY + INCY
+ END IF
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y when lower triangle of A is stored.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 100, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ Y( J ) = Y( J ) + TEMP1*A( 1, J )
+ L = 1 - J
+ DO 90, I = J + 1, MIN( N, J + K )
+ Y( I ) = Y( I ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + A( L + I, J )*X( I )
+ 90 CONTINUE
+ Y( J ) = Y( J ) + ALPHA*TEMP2
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 120, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ Y( JY ) = Y( JY ) + TEMP1*A( 1, J )
+ L = 1 - J
+ IX = JX
+ IY = JY
+ DO 110, I = J + 1, MIN( N, J + K )
+ IX = IX + INCX
+ IY = IY + INCY
+ Y( IY ) = Y( IY ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + A( L + I, J )*X( IX )
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSBMV .
+*
+ END
diff --git a/src/fortran/blas/dscal.f b/src/fortran/blas/dscal.f
new file mode 100644
index 0000000..e1467fa
--- /dev/null
+++ b/src/fortran/blas/dscal.f
@@ -0,0 +1,43 @@
+ subroutine dscal(n,da,dx,incx)
+c
+c scales a vector by a constant.
+c uses unrolled loops for increment equal to one.
+c jack dongarra, linpack, 3/11/78.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision da,dx(*)
+ integer i,incx,m,mp1,n,nincx
+c
+ if( n.le.0 .or. incx.le.0 )return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ nincx = n*incx
+ do 10 i = 1,nincx,incx
+ dx(i) = da*dx(i)
+ 10 continue
+ return
+c
+c code for increment equal to 1
+c
+c
+c clean-up loop
+c
+ 20 m = mod(n,5)
+ if( m .eq. 0 ) go to 40
+ do 30 i = 1,m
+ dx(i) = da*dx(i)
+ 30 continue
+ if( n .lt. 5 ) return
+ 40 mp1 = m + 1
+ do 50 i = mp1,n,5
+ dx(i) = da*dx(i)
+ dx(i + 1) = da*dx(i + 1)
+ dx(i + 2) = da*dx(i + 2)
+ dx(i + 3) = da*dx(i + 3)
+ dx(i + 4) = da*dx(i + 4)
+ 50 continue
+ return
+ end
diff --git a/src/fortran/blas/dspmv.f b/src/fortran/blas/dspmv.f
new file mode 100644
index 0000000..3ace7bf
--- /dev/null
+++ b/src/fortran/blas/dspmv.f
@@ -0,0 +1,262 @@
+ SUBROUTINE DSPMV ( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA, BETA
+ INTEGER INCX, INCY, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION AP( * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSPMV performs the matrix-vector operation
+*
+* y := alpha*A*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are n element vectors and
+* A is an n by n symmetric matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the matrix A is supplied in the packed
+* array AP as follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* supplied in AP.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* supplied in AP.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* AP - DOUBLE PRECISION array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular part of the symmetric matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+* and a( 2, 2 ) respectively, and so on.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular part of the symmetric matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+* and a( 3, 1 ) respectively, and so on.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y. On exit, Y is overwritten by the updated
+* vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, K, KK, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 6
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSPMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set up the start points in X and Y.
+*
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of the array AP
+* are accessed sequentially with one pass through AP.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, N
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, N
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, N
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, N
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ KK = 1
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form y when AP contains the upper triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ K = KK
+ DO 50, I = 1, J - 1
+ Y( I ) = Y( I ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + AP( K )*X( I )
+ K = K + 1
+ 50 CONTINUE
+ Y( J ) = Y( J ) + TEMP1*AP( KK + J - 1 ) + ALPHA*TEMP2
+ KK = KK + J
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 80, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ IX = KX
+ IY = KY
+ DO 70, K = KK, KK + J - 2
+ Y( IY ) = Y( IY ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + AP( K )*X( IX )
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ Y( JY ) = Y( JY ) + TEMP1*AP( KK + J - 1 ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + J
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y when AP contains the lower triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 100, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ Y( J ) = Y( J ) + TEMP1*AP( KK )
+ K = KK + 1
+ DO 90, I = J + 1, N
+ Y( I ) = Y( I ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + AP( K )*X( I )
+ K = K + 1
+ 90 CONTINUE
+ Y( J ) = Y( J ) + ALPHA*TEMP2
+ KK = KK + ( N - J + 1 )
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 120, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ Y( JY ) = Y( JY ) + TEMP1*AP( KK )
+ IX = JX
+ IY = JY
+ DO 110, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ IY = IY + INCY
+ Y( IY ) = Y( IY ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + AP( K )*X( IX )
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + ( N - J + 1 )
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSPMV .
+*
+ END
diff --git a/src/fortran/blas/dspr.f b/src/fortran/blas/dspr.f
new file mode 100644
index 0000000..3da6889
--- /dev/null
+++ b/src/fortran/blas/dspr.f
@@ -0,0 +1,198 @@
+ SUBROUTINE DSPR ( UPLO, N, ALPHA, X, INCX, AP )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION AP( * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSPR performs the symmetric rank 1 operation
+*
+* A := alpha*x*x' + A,
+*
+* where alpha is a real scalar, x is an n element vector and A is an
+* n by n symmetric matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the matrix A is supplied in the packed
+* array AP as follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* supplied in AP.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* supplied in AP.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* AP - DOUBLE PRECISION array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular part of the symmetric matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+* and a( 2, 2 ) respectively, and so on. On exit, the array
+* AP is overwritten by the upper triangular part of the
+* updated matrix.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular part of the symmetric matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+* and a( 3, 1 ) respectively, and so on. On exit, the array
+* AP is overwritten by the lower triangular part of the
+* updated matrix.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, K, KK, KX
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSPR ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Set the start point in X if the increment is not unity.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of the array AP
+* are accessed sequentially with one pass through AP.
+*
+ KK = 1
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when upper triangle is stored in AP.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*X( J )
+ K = KK
+ DO 10, I = 1, J
+ AP( K ) = AP( K ) + X( I )*TEMP
+ K = K + 1
+ 10 CONTINUE
+ END IF
+ KK = KK + J
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IX = KX
+ DO 30, K = KK, KK + J - 1
+ AP( K ) = AP( K ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ END IF
+ JX = JX + INCX
+ KK = KK + J
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when lower triangle is stored in AP.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*X( J )
+ K = KK
+ DO 50, I = J, N
+ AP( K ) = AP( K ) + X( I )*TEMP
+ K = K + 1
+ 50 CONTINUE
+ END IF
+ KK = KK + N - J + 1
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IX = JX
+ DO 70, K = KK, KK + N - J
+ AP( K ) = AP( K ) + X( IX )*TEMP
+ IX = IX + INCX
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ KK = KK + N - J + 1
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSPR .
+*
+ END
diff --git a/src/fortran/blas/dspr2.f b/src/fortran/blas/dspr2.f
new file mode 100644
index 0000000..1cfce21
--- /dev/null
+++ b/src/fortran/blas/dspr2.f
@@ -0,0 +1,229 @@
+ SUBROUTINE DSPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, INCY, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION AP( * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSPR2 performs the symmetric rank 2 operation
+*
+* A := alpha*x*y' + alpha*y*x' + A,
+*
+* where alpha is a scalar, x and y are n element vectors and A is an
+* n by n symmetric matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the matrix A is supplied in the packed
+* array AP as follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* supplied in AP.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* supplied in AP.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* AP - DOUBLE PRECISION array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular part of the symmetric matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+* and a( 2, 2 ) respectively, and so on. On exit, the array
+* AP is overwritten by the upper triangular part of the
+* updated matrix.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular part of the symmetric matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+* and a( 3, 1 ) respectively, and so on. On exit, the array
+* AP is overwritten by the lower triangular part of the
+* updated matrix.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, K, KK, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSPR2 ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Set up the start points in X and Y if the increments are not both
+* unity.
+*
+ IF( ( INCX.NE.1 ).OR.( INCY.NE.1 ) )THEN
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+ JX = KX
+ JY = KY
+ END IF
+*
+* Start the operations. In this version the elements of the array AP
+* are accessed sequentially with one pass through AP.
+*
+ KK = 1
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when upper triangle is stored in AP.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 20, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( J )
+ TEMP2 = ALPHA*X( J )
+ K = KK
+ DO 10, I = 1, J
+ AP( K ) = AP( K ) + X( I )*TEMP1 + Y( I )*TEMP2
+ K = K + 1
+ 10 CONTINUE
+ END IF
+ KK = KK + J
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( JY )
+ TEMP2 = ALPHA*X( JX )
+ IX = KX
+ IY = KY
+ DO 30, K = KK, KK + J - 1
+ AP( K ) = AP( K ) + X( IX )*TEMP1 + Y( IY )*TEMP2
+ IX = IX + INCX
+ IY = IY + INCY
+ 30 CONTINUE
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + J
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when lower triangle is stored in AP.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( J )
+ TEMP2 = ALPHA*X( J )
+ K = KK
+ DO 50, I = J, N
+ AP( K ) = AP( K ) + X( I )*TEMP1 + Y( I )*TEMP2
+ K = K + 1
+ 50 CONTINUE
+ END IF
+ KK = KK + N - J + 1
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( JY )
+ TEMP2 = ALPHA*X( JX )
+ IX = JX
+ IY = JY
+ DO 70, K = KK, KK + N - J
+ AP( K ) = AP( K ) + X( IX )*TEMP1 + Y( IY )*TEMP2
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + N - J + 1
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSPR2 .
+*
+ END
diff --git a/src/fortran/blas/dswap.f b/src/fortran/blas/dswap.f
new file mode 100644
index 0000000..7f7d1fb
--- /dev/null
+++ b/src/fortran/blas/dswap.f
@@ -0,0 +1,56 @@
+ subroutine dswap (n,dx,incx,dy,incy)
+c
+c interchanges two vectors.
+c uses unrolled loops for increments equal one.
+c jack dongarra, linpack, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dy(*),dtemp
+ integer i,incx,incy,ix,iy,m,mp1,n
+c
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments not equal
+c to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ dtemp = dx(ix)
+ dx(ix) = dy(iy)
+ dy(iy) = dtemp
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+c
+c
+c clean-up loop
+c
+ 20 m = mod(n,3)
+ if( m .eq. 0 ) go to 40
+ do 30 i = 1,m
+ dtemp = dx(i)
+ dx(i) = dy(i)
+ dy(i) = dtemp
+ 30 continue
+ if( n .lt. 3 ) return
+ 40 mp1 = m + 1
+ do 50 i = mp1,n,3
+ dtemp = dx(i)
+ dx(i) = dy(i)
+ dy(i) = dtemp
+ dtemp = dx(i + 1)
+ dx(i + 1) = dy(i + 1)
+ dy(i + 1) = dtemp
+ dtemp = dx(i + 2)
+ dx(i + 2) = dy(i + 2)
+ dy(i + 2) = dtemp
+ 50 continue
+ return
+ end
diff --git a/src/fortran/blas/dsymm.f b/src/fortran/blas/dsymm.f
new file mode 100644
index 0000000..0f25141
--- /dev/null
+++ b/src/fortran/blas/dsymm.f
@@ -0,0 +1,294 @@
+ SUBROUTINE DSYMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO
+ INTEGER M, N, LDA, LDB, LDC
+ DOUBLE PRECISION ALPHA, BETA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYMM performs one of the matrix-matrix operations
+*
+* C := alpha*A*B + beta*C,
+*
+* or
+*
+* C := alpha*B*A + beta*C,
+*
+* where alpha and beta are scalars, A is a symmetric matrix and B and
+* C are m by n matrices.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether the symmetric matrix A
+* appears on the left or right in the operation as follows:
+*
+* SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
+*
+* SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the symmetric matrix A is to be
+* referenced as follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of the
+* symmetric matrix is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of the
+* symmetric matrix is to be referenced.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix C.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix C.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+* m when SIDE = 'L' or 'l' and is n otherwise.
+* Before entry with SIDE = 'L' or 'l', the m by m part of
+* the array A must contain the symmetric matrix, such that
+* when UPLO = 'U' or 'u', the leading m by m upper triangular
+* part of the array A must contain the upper triangular part
+* of the symmetric matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading m by m lower triangular part of the array A
+* must contain the lower triangular part of the symmetric
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Before entry with SIDE = 'R' or 'r', the n by n part of
+* the array A must contain the symmetric matrix, such that
+* when UPLO = 'U' or 'u', the leading n by n upper triangular
+* part of the array A must contain the upper triangular part
+* of the symmetric matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading n by n lower triangular part of the array A
+* must contain the lower triangular part of the symmetric
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), otherwise LDA must be at
+* least max( 1, n ).
+* Unchanged on exit.
+*
+* B - DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then C need not be set on input.
+* Unchanged on exit.
+*
+* C - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+* Before entry, the leading m by n part of the array C must
+* contain the matrix C, except when beta is zero, in which
+* case C need not be set on entry.
+* On exit, the array C is overwritten by the m by n updated
+* matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, K, NROWA
+ DOUBLE PRECISION TEMP1, TEMP2
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Set NROWA as the number of rows of A.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( ( .NOT.LSAME( SIDE, 'L' ) ).AND.
+ $ ( .NOT.LSAME( SIDE, 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO, 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( M .LT.0 )THEN
+ INFO = 3
+ ELSE IF( N .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, M ) )THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+*
+* Form C := alpha*A*B + beta*C.
+*
+ IF( UPPER )THEN
+ DO 70, J = 1, N
+ DO 60, I = 1, M
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 50, K = 1, I - 1
+ C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
+ TEMP2 = TEMP2 + B( K, J )*A( K, I )
+ 50 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*A( I, I ) + ALPHA*TEMP2
+ END IF
+ 60 CONTINUE
+ 70 CONTINUE
+ ELSE
+ DO 100, J = 1, N
+ DO 90, I = M, 1, -1
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 80, K = I + 1, M
+ C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
+ TEMP2 = TEMP2 + B( K, J )*A( K, I )
+ 80 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*A( I, I ) + ALPHA*TEMP2
+ END IF
+ 90 CONTINUE
+ 100 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*B*A + beta*C.
+*
+ DO 170, J = 1, N
+ TEMP1 = ALPHA*A( J, J )
+ IF( BETA.EQ.ZERO )THEN
+ DO 110, I = 1, M
+ C( I, J ) = TEMP1*B( I, J )
+ 110 CONTINUE
+ ELSE
+ DO 120, I = 1, M
+ C( I, J ) = BETA*C( I, J ) + TEMP1*B( I, J )
+ 120 CONTINUE
+ END IF
+ DO 140, K = 1, J - 1
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( K, J )
+ ELSE
+ TEMP1 = ALPHA*A( J, K )
+ END IF
+ DO 130, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 130 CONTINUE
+ 140 CONTINUE
+ DO 160, K = J + 1, N
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( J, K )
+ ELSE
+ TEMP1 = ALPHA*A( K, J )
+ END IF
+ DO 150, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 150 CONTINUE
+ 160 CONTINUE
+ 170 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of DSYMM .
+*
+ END
diff --git a/src/fortran/blas/dsymv.f b/src/fortran/blas/dsymv.f
new file mode 100644
index 0000000..7592d15
--- /dev/null
+++ b/src/fortran/blas/dsymv.f
@@ -0,0 +1,262 @@
+ SUBROUTINE DSYMV ( UPLO, N, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA, BETA
+ INTEGER INCX, INCY, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYMV performs the matrix-vector operation
+*
+* y := alpha*A*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are n element vectors and
+* A is an n by n symmetric matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array A is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of A
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of A
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of A is not referenced.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y. On exit, Y is overwritten by the updated
+* vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 5
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 10
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set up the start points in X and Y.
+*
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the triangular part
+* of A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, N
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, N
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, N
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, N
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form y when A is stored in upper triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ DO 50, I = 1, J - 1
+ Y( I ) = Y( I ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + A( I, J )*X( I )
+ 50 CONTINUE
+ Y( J ) = Y( J ) + TEMP1*A( J, J ) + ALPHA*TEMP2
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 80, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ IX = KX
+ IY = KY
+ DO 70, I = 1, J - 1
+ Y( IY ) = Y( IY ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + A( I, J )*X( IX )
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ Y( JY ) = Y( JY ) + TEMP1*A( J, J ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y when A is stored in lower triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 100, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ Y( J ) = Y( J ) + TEMP1*A( J, J )
+ DO 90, I = J + 1, N
+ Y( I ) = Y( I ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + A( I, J )*X( I )
+ 90 CONTINUE
+ Y( J ) = Y( J ) + ALPHA*TEMP2
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 120, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ Y( JY ) = Y( JY ) + TEMP1*A( J, J )
+ IX = JX
+ IY = JY
+ DO 110, I = J + 1, N
+ IX = IX + INCX
+ IY = IY + INCY
+ Y( IY ) = Y( IY ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + A( I, J )*X( IX )
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSYMV .
+*
+ END
diff --git a/src/fortran/blas/dsyr.f b/src/fortran/blas/dsyr.f
new file mode 100644
index 0000000..8737719
--- /dev/null
+++ b/src/fortran/blas/dsyr.f
@@ -0,0 +1,197 @@
+ SUBROUTINE DSYR ( UPLO, N, ALPHA, X, INCX, A, LDA )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYR performs the symmetric rank 1 operation
+*
+* A := alpha*x*x' + A,
+*
+* where alpha is a real scalar, x is an n element vector and A is an
+* n by n symmetric matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array A is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of A
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of A
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of A is not referenced. On exit, the
+* upper triangular part of the array A is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of A is not referenced. On exit, the
+* lower triangular part of the array A is overwritten by the
+* lower triangular part of the updated matrix.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, KX
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYR ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Set the start point in X if the increment is not unity.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the triangular part
+* of A.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when A is stored in upper triangle.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*X( J )
+ DO 10, I = 1, J
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 10 CONTINUE
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IX = KX
+ DO 30, I = 1, J
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ END IF
+ JX = JX + INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when A is stored in lower triangle.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*X( J )
+ DO 50, I = J, N
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 50 CONTINUE
+ END IF
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IX = JX
+ DO 70, I = J, N
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ IX = IX + INCX
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSYR .
+*
+ END
diff --git a/src/fortran/blas/dsyr2.f b/src/fortran/blas/dsyr2.f
new file mode 100644
index 0000000..918ad8a
--- /dev/null
+++ b/src/fortran/blas/dsyr2.f
@@ -0,0 +1,230 @@
+ SUBROUTINE DSYR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, INCY, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYR2 performs the symmetric rank 2 operation
+*
+* A := alpha*x*y' + alpha*y*x' + A,
+*
+* where alpha is a scalar, x and y are n element vectors and A is an n
+* by n symmetric matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array A is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of A
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of A
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of A is not referenced. On exit, the
+* upper triangular part of the array A is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of A is not referenced. On exit, the
+* lower triangular part of the array A is overwritten by the
+* lower triangular part of the updated matrix.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYR2 ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Set up the start points in X and Y if the increments are not both
+* unity.
+*
+ IF( ( INCX.NE.1 ).OR.( INCY.NE.1 ) )THEN
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+ JX = KX
+ JY = KY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the triangular part
+* of A.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when A is stored in the upper triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 20, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( J )
+ TEMP2 = ALPHA*X( J )
+ DO 10, I = 1, J
+ A( I, J ) = A( I, J ) + X( I )*TEMP1 + Y( I )*TEMP2
+ 10 CONTINUE
+ END IF
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( JY )
+ TEMP2 = ALPHA*X( JX )
+ IX = KX
+ IY = KY
+ DO 30, I = 1, J
+ A( I, J ) = A( I, J ) + X( IX )*TEMP1
+ $ + Y( IY )*TEMP2
+ IX = IX + INCX
+ IY = IY + INCY
+ 30 CONTINUE
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when A is stored in the lower triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( J )
+ TEMP2 = ALPHA*X( J )
+ DO 50, I = J, N
+ A( I, J ) = A( I, J ) + X( I )*TEMP1 + Y( I )*TEMP2
+ 50 CONTINUE
+ END IF
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*Y( JY )
+ TEMP2 = ALPHA*X( JX )
+ IX = JX
+ IY = JY
+ DO 70, I = J, N
+ A( I, J ) = A( I, J ) + X( IX )*TEMP1
+ $ + Y( IY )*TEMP2
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSYR2 .
+*
+ END
diff --git a/src/fortran/blas/dsyr2k.f b/src/fortran/blas/dsyr2k.f
new file mode 100644
index 0000000..ac7d97d
--- /dev/null
+++ b/src/fortran/blas/dsyr2k.f
@@ -0,0 +1,327 @@
+ SUBROUTINE DSYR2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 UPLO, TRANS
+ INTEGER N, K, LDA, LDB, LDC
+ DOUBLE PRECISION ALPHA, BETA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYR2K performs one of the symmetric rank 2k operations
+*
+* C := alpha*A*B' + alpha*B*A' + beta*C,
+*
+* or
+*
+* C := alpha*A'*B + alpha*B'*A + beta*C,
+*
+* where alpha and beta are scalars, C is an n by n symmetric matrix
+* and A and B are n by k matrices in the first case and k by n
+* matrices in the second case.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array C is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of C
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of C
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' C := alpha*A*B' + alpha*B*A' +
+* beta*C.
+*
+* TRANS = 'T' or 't' C := alpha*A'*B + alpha*B'*A +
+* beta*C.
+*
+* TRANS = 'C' or 'c' C := alpha*A'*B + alpha*B'*A +
+* beta*C.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with TRANS = 'N' or 'n', K specifies the number
+* of columns of the matrices A and B, and on entry with
+* TRANS = 'T' or 't' or 'C' or 'c', K specifies the number
+* of rows of the matrices A and B. K must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by n part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDA must be at least max( 1, n ), otherwise LDA must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* B - DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array B must contain the matrix B, otherwise
+* the leading k by n part of the array B must contain the
+* matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDB must be at least max( 1, n ), otherwise LDB must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* C - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array C must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of C is not referenced. On exit, the
+* upper triangular part of the array C is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array C must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of C is not referenced. On exit, the
+* lower triangular part of the array C is overwritten by the
+* lower triangular part of the updated matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, L, NROWA
+ DOUBLE PRECISION TEMP1, TEMP2
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ NROWA = N
+ ELSE
+ NROWA = K
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANS, 'T' ) ).AND.
+ $ ( .NOT.LSAME( TRANS, 'C' ) ) )THEN
+ INFO = 2
+ ELSE IF( N .LT.0 )THEN
+ INFO = 3
+ ELSE IF( K .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, NROWA ) )THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, N ) )THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYR2K', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.
+ $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( UPPER )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, J
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( BETA.EQ.ZERO )THEN
+ DO 60, J = 1, N
+ DO 50, I = J, N
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ DO 70, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form C := alpha*A*B' + alpha*B*A' + C.
+*
+ IF( UPPER )THEN
+ DO 130, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 90, I = 1, J
+ C( I, J ) = ZERO
+ 90 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 100, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 100 CONTINUE
+ END IF
+ DO 120, L = 1, K
+ IF( ( A( J, L ).NE.ZERO ).OR.
+ $ ( B( J, L ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*B( J, L )
+ TEMP2 = ALPHA*A( J, L )
+ DO 110, I = 1, J
+ C( I, J ) = C( I, J ) +
+ $ A( I, L )*TEMP1 + B( I, L )*TEMP2
+ 110 CONTINUE
+ END IF
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 180, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 140, I = J, N
+ C( I, J ) = ZERO
+ 140 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 150, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 150 CONTINUE
+ END IF
+ DO 170, L = 1, K
+ IF( ( A( J, L ).NE.ZERO ).OR.
+ $ ( B( J, L ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*B( J, L )
+ TEMP2 = ALPHA*A( J, L )
+ DO 160, I = J, N
+ C( I, J ) = C( I, J ) +
+ $ A( I, L )*TEMP1 + B( I, L )*TEMP2
+ 160 CONTINUE
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*A'*B + alpha*B'*A + C.
+*
+ IF( UPPER )THEN
+ DO 210, J = 1, N
+ DO 200, I = 1, J
+ TEMP1 = ZERO
+ TEMP2 = ZERO
+ DO 190, L = 1, K
+ TEMP1 = TEMP1 + A( L, I )*B( L, J )
+ TEMP2 = TEMP2 + B( L, I )*A( L, J )
+ 190 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP1 + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ ALPHA*TEMP1 + ALPHA*TEMP2
+ END IF
+ 200 CONTINUE
+ 210 CONTINUE
+ ELSE
+ DO 240, J = 1, N
+ DO 230, I = J, N
+ TEMP1 = ZERO
+ TEMP2 = ZERO
+ DO 220, L = 1, K
+ TEMP1 = TEMP1 + A( L, I )*B( L, J )
+ TEMP2 = TEMP2 + B( L, I )*A( L, J )
+ 220 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP1 + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ ALPHA*TEMP1 + ALPHA*TEMP2
+ END IF
+ 230 CONTINUE
+ 240 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSYR2K.
+*
+ END
diff --git a/src/fortran/blas/dsyrk.f b/src/fortran/blas/dsyrk.f
new file mode 100644
index 0000000..b618b29
--- /dev/null
+++ b/src/fortran/blas/dsyrk.f
@@ -0,0 +1,294 @@
+ SUBROUTINE DSYRK ( UPLO, TRANS, N, K, ALPHA, A, LDA,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 UPLO, TRANS
+ INTEGER N, K, LDA, LDC
+ DOUBLE PRECISION ALPHA, BETA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* DSYRK performs one of the symmetric rank k operations
+*
+* C := alpha*A*A' + beta*C,
+*
+* or
+*
+* C := alpha*A'*A + beta*C,
+*
+* where alpha and beta are scalars, C is an n by n symmetric matrix
+* and A is an n by k matrix in the first case and a k by n matrix
+* in the second case.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array C is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of C
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of C
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' C := alpha*A*A' + beta*C.
+*
+* TRANS = 'T' or 't' C := alpha*A'*A + beta*C.
+*
+* TRANS = 'C' or 'c' C := alpha*A'*A + beta*C.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with TRANS = 'N' or 'n', K specifies the number
+* of columns of the matrix A, and on entry with
+* TRANS = 'T' or 't' or 'C' or 'c', K specifies the number
+* of rows of the matrix A. K must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by n part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDA must be at least max( 1, n ), otherwise LDA must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* C - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array C must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of C is not referenced. On exit, the
+* upper triangular part of the array C is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array C must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of C is not referenced. On exit, the
+* lower triangular part of the array C is overwritten by the
+* lower triangular part of the updated matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, L, NROWA
+ DOUBLE PRECISION TEMP
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ NROWA = N
+ ELSE
+ NROWA = K
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANS, 'T' ) ).AND.
+ $ ( .NOT.LSAME( TRANS, 'C' ) ) )THEN
+ INFO = 2
+ ELSE IF( N .LT.0 )THEN
+ INFO = 3
+ ELSE IF( K .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDC.LT.MAX( 1, N ) )THEN
+ INFO = 10
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DSYRK ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.
+ $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( UPPER )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, J
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( BETA.EQ.ZERO )THEN
+ DO 60, J = 1, N
+ DO 50, I = J, N
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ DO 70, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form C := alpha*A*A' + beta*C.
+*
+ IF( UPPER )THEN
+ DO 130, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 90, I = 1, J
+ C( I, J ) = ZERO
+ 90 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 100, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 100 CONTINUE
+ END IF
+ DO 120, L = 1, K
+ IF( A( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*A( J, L )
+ DO 110, I = 1, J
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 110 CONTINUE
+ END IF
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 180, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 140, I = J, N
+ C( I, J ) = ZERO
+ 140 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 150, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 150 CONTINUE
+ END IF
+ DO 170, L = 1, K
+ IF( A( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*A( J, L )
+ DO 160, I = J, N
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 160 CONTINUE
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*A'*A + beta*C.
+*
+ IF( UPPER )THEN
+ DO 210, J = 1, N
+ DO 200, I = 1, J
+ TEMP = ZERO
+ DO 190, L = 1, K
+ TEMP = TEMP + A( L, I )*A( L, J )
+ 190 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 200 CONTINUE
+ 210 CONTINUE
+ ELSE
+ DO 240, J = 1, N
+ DO 230, I = J, N
+ TEMP = ZERO
+ DO 220, L = 1, K
+ TEMP = TEMP + A( L, I )*A( L, J )
+ 220 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 230 CONTINUE
+ 240 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DSYRK .
+*
+ END
diff --git a/src/fortran/blas/dtbmv.f b/src/fortran/blas/dtbmv.f
new file mode 100644
index 0000000..1363db7
--- /dev/null
+++ b/src/fortran/blas/dtbmv.f
@@ -0,0 +1,342 @@
+ SUBROUTINE DTBMV ( UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, K, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTBMV performs one of the matrix-vector operations
+*
+* x := A*x, or x := A'*x,
+*
+* where x is an n element vector and A is an n by n unit, or non-unit,
+* upper or lower triangular band matrix, with ( k + 1 ) diagonals.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' x := A*x.
+*
+* TRANS = 'T' or 't' x := A'*x.
+*
+* TRANS = 'C' or 'c' x := A'*x.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with UPLO = 'U' or 'u', K specifies the number of
+* super-diagonals of the matrix A.
+* On entry with UPLO = 'L' or 'l', K specifies the number of
+* sub-diagonals of the matrix A.
+* K must satisfy 0 .le. K.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
+* by n part of the array A must contain the upper triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row
+* ( k + 1 ) of the array, the first super-diagonal starting at
+* position 2 in row k, and so on. The top left k by k triangle
+* of the array A is not referenced.
+* The following program segment will transfer an upper
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = K + 1 - J
+* DO 10, I = MAX( 1, J - K ), J
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
+* by n part of the array A must contain the lower triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row 1 of
+* the array, the first sub-diagonal starting at position 1 in
+* row 2, and so on. The bottom right k by k triangle of the
+* array A is not referenced.
+* The following program segment will transfer a lower
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = 1 - J
+* DO 10, I = J, MIN( N, J + K )
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Note that when DIAG = 'U' or 'u' the elements of the array A
+* corresponding to the diagonal elements of the matrix are not
+* referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( k + 1 ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x. On exit, X is overwritten with the
+* tranformed vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, KPLUS1, KX, L
+ LOGICAL NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( K.LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.( K + 1 ) )THEN
+ INFO = 7
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTBMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOUNIT = LSAME( DIAG, 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := A*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ L = KPLUS1 - J
+ DO 10, I = MAX( 1, J - K ), J - 1
+ X( I ) = X( I ) + TEMP*A( L + I, J )
+ 10 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( KPLUS1, J )
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ L = KPLUS1 - J
+ DO 30, I = MAX( 1, J - K ), J - 1
+ X( IX ) = X( IX ) + TEMP*A( L + I, J )
+ IX = IX + INCX
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( KPLUS1, J )
+ END IF
+ JX = JX + INCX
+ IF( J.GT.K )
+ $ KX = KX + INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ L = 1 - J
+ DO 50, I = MIN( N, J + K ), J + 1, -1
+ X( I ) = X( I ) + TEMP*A( L + I, J )
+ 50 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( 1, J )
+ END IF
+ 60 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 80, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ L = 1 - J
+ DO 70, I = MIN( N, J + K ), J + 1, -1
+ X( IX ) = X( IX ) + TEMP*A( L + I, J )
+ IX = IX - INCX
+ 70 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( 1, J )
+ END IF
+ JX = JX - INCX
+ IF( ( N - J ).GE.K )
+ $ KX = KX - INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := A'*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = N, 1, -1
+ TEMP = X( J )
+ L = KPLUS1 - J
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( KPLUS1, J )
+ DO 90, I = J - 1, MAX( 1, J - K ), -1
+ TEMP = TEMP + A( L + I, J )*X( I )
+ 90 CONTINUE
+ X( J ) = TEMP
+ 100 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 120, J = N, 1, -1
+ TEMP = X( JX )
+ KX = KX - INCX
+ IX = KX
+ L = KPLUS1 - J
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( KPLUS1, J )
+ DO 110, I = J - 1, MAX( 1, J - K ), -1
+ TEMP = TEMP + A( L + I, J )*X( IX )
+ IX = IX - INCX
+ 110 CONTINUE
+ X( JX ) = TEMP
+ JX = JX - INCX
+ 120 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 140, J = 1, N
+ TEMP = X( J )
+ L = 1 - J
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( 1, J )
+ DO 130, I = J + 1, MIN( N, J + K )
+ TEMP = TEMP + A( L + I, J )*X( I )
+ 130 CONTINUE
+ X( J ) = TEMP
+ 140 CONTINUE
+ ELSE
+ JX = KX
+ DO 160, J = 1, N
+ TEMP = X( JX )
+ KX = KX + INCX
+ IX = KX
+ L = 1 - J
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( 1, J )
+ DO 150, I = J + 1, MIN( N, J + K )
+ TEMP = TEMP + A( L + I, J )*X( IX )
+ IX = IX + INCX
+ 150 CONTINUE
+ X( JX ) = TEMP
+ JX = JX + INCX
+ 160 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTBMV .
+*
+ END
diff --git a/src/fortran/blas/dtbsv.f b/src/fortran/blas/dtbsv.f
new file mode 100644
index 0000000..d87ed82
--- /dev/null
+++ b/src/fortran/blas/dtbsv.f
@@ -0,0 +1,346 @@
+ SUBROUTINE DTBSV ( UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, K, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTBSV solves one of the systems of equations
+*
+* A*x = b, or A'*x = b,
+*
+* where b and x are n element vectors and A is an n by n unit, or
+* non-unit, upper or lower triangular band matrix, with ( k + 1 )
+* diagonals.
+*
+* No test for singularity or near-singularity is included in this
+* routine. Such tests must be performed before calling this routine.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the equations to be solved as
+* follows:
+*
+* TRANS = 'N' or 'n' A*x = b.
+*
+* TRANS = 'T' or 't' A'*x = b.
+*
+* TRANS = 'C' or 'c' A'*x = b.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with UPLO = 'U' or 'u', K specifies the number of
+* super-diagonals of the matrix A.
+* On entry with UPLO = 'L' or 'l', K specifies the number of
+* sub-diagonals of the matrix A.
+* K must satisfy 0 .le. K.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
+* by n part of the array A must contain the upper triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row
+* ( k + 1 ) of the array, the first super-diagonal starting at
+* position 2 in row k, and so on. The top left k by k triangle
+* of the array A is not referenced.
+* The following program segment will transfer an upper
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = K + 1 - J
+* DO 10, I = MAX( 1, J - K ), J
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
+* by n part of the array A must contain the lower triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row 1 of
+* the array, the first sub-diagonal starting at position 1 in
+* row 2, and so on. The bottom right k by k triangle of the
+* array A is not referenced.
+* The following program segment will transfer a lower
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = 1 - J
+* DO 10, I = J, MIN( N, J + K )
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Note that when DIAG = 'U' or 'u' the elements of the array A
+* corresponding to the diagonal elements of the matrix are not
+* referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( k + 1 ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element right-hand side vector b. On exit, X is overwritten
+* with the solution vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, KPLUS1, KX, L
+ LOGICAL NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( K.LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.( K + 1 ) )THEN
+ INFO = 7
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTBSV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOUNIT = LSAME( DIAG, 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed by sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := inv( A )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ L = KPLUS1 - J
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( KPLUS1, J )
+ TEMP = X( J )
+ DO 10, I = J - 1, MAX( 1, J - K ), -1
+ X( I ) = X( I ) - TEMP*A( L + I, J )
+ 10 CONTINUE
+ END IF
+ 20 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 40, J = N, 1, -1
+ KX = KX - INCX
+ IF( X( JX ).NE.ZERO )THEN
+ IX = KX
+ L = KPLUS1 - J
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( KPLUS1, J )
+ TEMP = X( JX )
+ DO 30, I = J - 1, MAX( 1, J - K ), -1
+ X( IX ) = X( IX ) - TEMP*A( L + I, J )
+ IX = IX - INCX
+ 30 CONTINUE
+ END IF
+ JX = JX - INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ L = 1 - J
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( 1, J )
+ TEMP = X( J )
+ DO 50, I = J + 1, MIN( N, J + K )
+ X( I ) = X( I ) - TEMP*A( L + I, J )
+ 50 CONTINUE
+ END IF
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ KX = KX + INCX
+ IF( X( JX ).NE.ZERO )THEN
+ IX = KX
+ L = 1 - J
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( 1, J )
+ TEMP = X( JX )
+ DO 70, I = J + 1, MIN( N, J + K )
+ X( IX ) = X( IX ) - TEMP*A( L + I, J )
+ IX = IX + INCX
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := inv( A')*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = 1, N
+ TEMP = X( J )
+ L = KPLUS1 - J
+ DO 90, I = MAX( 1, J - K ), J - 1
+ TEMP = TEMP - A( L + I, J )*X( I )
+ 90 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( KPLUS1, J )
+ X( J ) = TEMP
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ DO 120, J = 1, N
+ TEMP = X( JX )
+ IX = KX
+ L = KPLUS1 - J
+ DO 110, I = MAX( 1, J - K ), J - 1
+ TEMP = TEMP - A( L + I, J )*X( IX )
+ IX = IX + INCX
+ 110 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( KPLUS1, J )
+ X( JX ) = TEMP
+ JX = JX + INCX
+ IF( J.GT.K )
+ $ KX = KX + INCX
+ 120 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 140, J = N, 1, -1
+ TEMP = X( J )
+ L = 1 - J
+ DO 130, I = MIN( N, J + K ), J + 1, -1
+ TEMP = TEMP - A( L + I, J )*X( I )
+ 130 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( 1, J )
+ X( J ) = TEMP
+ 140 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 160, J = N, 1, -1
+ TEMP = X( JX )
+ IX = KX
+ L = 1 - J
+ DO 150, I = MIN( N, J + K ), J + 1, -1
+ TEMP = TEMP - A( L + I, J )*X( IX )
+ IX = IX - INCX
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( 1, J )
+ X( JX ) = TEMP
+ JX = JX - INCX
+ IF( ( N - J ).GE.K )
+ $ KX = KX - INCX
+ 160 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTBSV .
+*
+ END
diff --git a/src/fortran/blas/dtpmv.f b/src/fortran/blas/dtpmv.f
new file mode 100644
index 0000000..ee11bc1
--- /dev/null
+++ b/src/fortran/blas/dtpmv.f
@@ -0,0 +1,299 @@
+ SUBROUTINE DTPMV ( UPLO, TRANS, DIAG, N, AP, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION AP( * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTPMV performs one of the matrix-vector operations
+*
+* x := A*x, or x := A'*x,
+*
+* where x is an n element vector and A is an n by n unit, or non-unit,
+* upper or lower triangular matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' x := A*x.
+*
+* TRANS = 'T' or 't' x := A'*x.
+*
+* TRANS = 'C' or 'c' x := A'*x.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* AP - DOUBLE PRECISION array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
+* respectively, and so on.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
+* respectively, and so on.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x. On exit, X is overwritten with the
+* tranformed vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, K, KK, KX
+ LOGICAL NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTPMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOUNIT = LSAME( DIAG, 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of AP are
+* accessed sequentially with one pass through AP.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x:= A*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK =1
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ K = KK
+ DO 10, I = 1, J - 1
+ X( I ) = X( I ) + TEMP*AP( K )
+ K = K + 1
+ 10 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*AP( KK + J - 1 )
+ END IF
+ KK = KK + J
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 30, K = KK, KK + J - 2
+ X( IX ) = X( IX ) + TEMP*AP( K )
+ IX = IX + INCX
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*AP( KK + J - 1 )
+ END IF
+ JX = JX + INCX
+ KK = KK + J
+ 40 CONTINUE
+ END IF
+ ELSE
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ K = KK
+ DO 50, I = N, J + 1, -1
+ X( I ) = X( I ) + TEMP*AP( K )
+ K = K - 1
+ 50 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*AP( KK - N + J )
+ END IF
+ KK = KK - ( N - J + 1 )
+ 60 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 80, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 70, K = KK, KK - ( N - ( J + 1 ) ), -1
+ X( IX ) = X( IX ) + TEMP*AP( K )
+ IX = IX - INCX
+ 70 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*AP( KK - N + J )
+ END IF
+ JX = JX - INCX
+ KK = KK - ( N - J + 1 )
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := A'*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = N, 1, -1
+ TEMP = X( J )
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ K = KK - 1
+ DO 90, I = J - 1, 1, -1
+ TEMP = TEMP + AP( K )*X( I )
+ K = K - 1
+ 90 CONTINUE
+ X( J ) = TEMP
+ KK = KK - J
+ 100 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 120, J = N, 1, -1
+ TEMP = X( JX )
+ IX = JX
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ DO 110, K = KK - 1, KK - J + 1, -1
+ IX = IX - INCX
+ TEMP = TEMP + AP( K )*X( IX )
+ 110 CONTINUE
+ X( JX ) = TEMP
+ JX = JX - INCX
+ KK = KK - J
+ 120 CONTINUE
+ END IF
+ ELSE
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 140, J = 1, N
+ TEMP = X( J )
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ K = KK + 1
+ DO 130, I = J + 1, N
+ TEMP = TEMP + AP( K )*X( I )
+ K = K + 1
+ 130 CONTINUE
+ X( J ) = TEMP
+ KK = KK + ( N - J + 1 )
+ 140 CONTINUE
+ ELSE
+ JX = KX
+ DO 160, J = 1, N
+ TEMP = X( JX )
+ IX = JX
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ DO 150, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ TEMP = TEMP + AP( K )*X( IX )
+ 150 CONTINUE
+ X( JX ) = TEMP
+ JX = JX + INCX
+ KK = KK + ( N - J + 1 )
+ 160 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTPMV .
+*
+ END
diff --git a/src/fortran/blas/dtpsv.f b/src/fortran/blas/dtpsv.f
new file mode 100644
index 0000000..91930d9
--- /dev/null
+++ b/src/fortran/blas/dtpsv.f
@@ -0,0 +1,302 @@
+ SUBROUTINE DTPSV ( UPLO, TRANS, DIAG, N, AP, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION AP( * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTPSV solves one of the systems of equations
+*
+* A*x = b, or A'*x = b,
+*
+* where b and x are n element vectors and A is an n by n unit, or
+* non-unit, upper or lower triangular matrix, supplied in packed form.
+*
+* No test for singularity or near-singularity is included in this
+* routine. Such tests must be performed before calling this routine.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the equations to be solved as
+* follows:
+*
+* TRANS = 'N' or 'n' A*x = b.
+*
+* TRANS = 'T' or 't' A'*x = b.
+*
+* TRANS = 'C' or 'c' A'*x = b.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* AP - DOUBLE PRECISION array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
+* respectively, and so on.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
+* respectively, and so on.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element right-hand side vector b. On exit, X is overwritten
+* with the solution vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, K, KK, KX
+ LOGICAL NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTPSV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOUNIT = LSAME( DIAG, 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of AP are
+* accessed sequentially with one pass through AP.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := inv( A )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/AP( KK )
+ TEMP = X( J )
+ K = KK - 1
+ DO 10, I = J - 1, 1, -1
+ X( I ) = X( I ) - TEMP*AP( K )
+ K = K - 1
+ 10 CONTINUE
+ END IF
+ KK = KK - J
+ 20 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 40, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/AP( KK )
+ TEMP = X( JX )
+ IX = JX
+ DO 30, K = KK - 1, KK - J + 1, -1
+ IX = IX - INCX
+ X( IX ) = X( IX ) - TEMP*AP( K )
+ 30 CONTINUE
+ END IF
+ JX = JX - INCX
+ KK = KK - J
+ 40 CONTINUE
+ END IF
+ ELSE
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/AP( KK )
+ TEMP = X( J )
+ K = KK + 1
+ DO 50, I = J + 1, N
+ X( I ) = X( I ) - TEMP*AP( K )
+ K = K + 1
+ 50 CONTINUE
+ END IF
+ KK = KK + ( N - J + 1 )
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/AP( KK )
+ TEMP = X( JX )
+ IX = JX
+ DO 70, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ X( IX ) = X( IX ) - TEMP*AP( K )
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ KK = KK + ( N - J + 1 )
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := inv( A' )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = 1, N
+ TEMP = X( J )
+ K = KK
+ DO 90, I = 1, J - 1
+ TEMP = TEMP - AP( K )*X( I )
+ K = K + 1
+ 90 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK + J - 1 )
+ X( J ) = TEMP
+ KK = KK + J
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ DO 120, J = 1, N
+ TEMP = X( JX )
+ IX = KX
+ DO 110, K = KK, KK + J - 2
+ TEMP = TEMP - AP( K )*X( IX )
+ IX = IX + INCX
+ 110 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK + J - 1 )
+ X( JX ) = TEMP
+ JX = JX + INCX
+ KK = KK + J
+ 120 CONTINUE
+ END IF
+ ELSE
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 140, J = N, 1, -1
+ TEMP = X( J )
+ K = KK
+ DO 130, I = N, J + 1, -1
+ TEMP = TEMP - AP( K )*X( I )
+ K = K - 1
+ 130 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK - N + J )
+ X( J ) = TEMP
+ KK = KK - ( N - J + 1 )
+ 140 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 160, J = N, 1, -1
+ TEMP = X( JX )
+ IX = KX
+ DO 150, K = KK, KK - ( N - ( J + 1 ) ), -1
+ TEMP = TEMP - AP( K )*X( IX )
+ IX = IX - INCX
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK - N + J )
+ X( JX ) = TEMP
+ JX = JX - INCX
+ KK = KK - (N - J + 1 )
+ 160 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTPSV .
+*
+ END
diff --git a/src/fortran/blas/dtrmm.f b/src/fortran/blas/dtrmm.f
new file mode 100644
index 0000000..f98da46
--- /dev/null
+++ b/src/fortran/blas/dtrmm.f
@@ -0,0 +1,355 @@
+ SUBROUTINE DTRMM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
+ $ B, LDB )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
+ INTEGER M, N, LDA, LDB
+ DOUBLE PRECISION ALPHA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), B( LDB, * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTRMM performs one of the matrix-matrix operations
+*
+* B := alpha*op( A )*B, or B := alpha*B*op( A ),
+*
+* where alpha is a scalar, B is an m by n matrix, A is a unit, or
+* non-unit, upper or lower triangular matrix and op( A ) is one of
+*
+* op( A ) = A or op( A ) = A'.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether op( A ) multiplies B from
+* the left or right as follows:
+*
+* SIDE = 'L' or 'l' B := alpha*op( A )*B.
+*
+* SIDE = 'R' or 'r' B := alpha*B*op( A ).
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix A is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANSA - CHARACTER*1.
+* On entry, TRANSA specifies the form of op( A ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSA = 'N' or 'n' op( A ) = A.
+*
+* TRANSA = 'T' or 't' op( A ) = A'.
+*
+* TRANSA = 'C' or 'c' op( A ) = A'.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit triangular
+* as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of B. M must be at
+* least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of B. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha. When alpha is
+* zero then A is not referenced and B need not be set before
+* entry.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, k ), where k is m
+* when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
+* Before entry with UPLO = 'U' or 'u', the leading k by k
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading k by k
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
+* then LDA must be at least max( 1, n ).
+* Unchanged on exit.
+*
+* B - DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the matrix B, and on exit is overwritten by the
+* transformed matrix.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL LSIDE, NOUNIT, UPPER
+ INTEGER I, INFO, J, K, NROWA
+ DOUBLE PRECISION TEMP
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ LSIDE = LSAME( SIDE , 'L' )
+ IF( LSIDE )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ NOUNIT = LSAME( DIAG , 'N' )
+ UPPER = LSAME( UPLO , 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.LSIDE ).AND.
+ $ ( .NOT.LSAME( SIDE , 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( ( .NOT.LSAME( TRANSA, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'T' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'C' ) ) )THEN
+ INFO = 3
+ ELSE IF( ( .NOT.LSAME( DIAG , 'U' ) ).AND.
+ $ ( .NOT.LSAME( DIAG , 'N' ) ) )THEN
+ INFO = 4
+ ELSE IF( M .LT.0 )THEN
+ INFO = 5
+ ELSE IF( N .LT.0 )THEN
+ INFO = 6
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 9
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTRMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ B( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSIDE )THEN
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*A*B.
+*
+ IF( UPPER )THEN
+ DO 50, J = 1, N
+ DO 40, K = 1, M
+ IF( B( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*B( K, J )
+ DO 30, I = 1, K - 1
+ B( I, J ) = B( I, J ) + TEMP*A( I, K )
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( K, K )
+ B( K, J ) = TEMP
+ END IF
+ 40 CONTINUE
+ 50 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ DO 70 K = M, 1, -1
+ IF( B( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*B( K, J )
+ B( K, J ) = TEMP
+ IF( NOUNIT )
+ $ B( K, J ) = B( K, J )*A( K, K )
+ DO 60, I = K + 1, M
+ B( I, J ) = B( I, J ) + TEMP*A( I, K )
+ 60 CONTINUE
+ END IF
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*B*A'.
+*
+ IF( UPPER )THEN
+ DO 110, J = 1, N
+ DO 100, I = M, 1, -1
+ TEMP = B( I, J )
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( I, I )
+ DO 90, K = 1, I - 1
+ TEMP = TEMP + A( K, I )*B( K, J )
+ 90 CONTINUE
+ B( I, J ) = ALPHA*TEMP
+ 100 CONTINUE
+ 110 CONTINUE
+ ELSE
+ DO 140, J = 1, N
+ DO 130, I = 1, M
+ TEMP = B( I, J )
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( I, I )
+ DO 120, K = I + 1, M
+ TEMP = TEMP + A( K, I )*B( K, J )
+ 120 CONTINUE
+ B( I, J ) = ALPHA*TEMP
+ 130 CONTINUE
+ 140 CONTINUE
+ END IF
+ END IF
+ ELSE
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*B*A.
+*
+ IF( UPPER )THEN
+ DO 180, J = N, 1, -1
+ TEMP = ALPHA
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 150, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 150 CONTINUE
+ DO 170, K = 1, J - 1
+ IF( A( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*A( K, J )
+ DO 160, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 160 CONTINUE
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ ELSE
+ DO 220, J = 1, N
+ TEMP = ALPHA
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 190, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 190 CONTINUE
+ DO 210, K = J + 1, N
+ IF( A( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*A( K, J )
+ DO 200, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 200 CONTINUE
+ END IF
+ 210 CONTINUE
+ 220 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*B*A'.
+*
+ IF( UPPER )THEN
+ DO 260, K = 1, N
+ DO 240, J = 1, K - 1
+ IF( A( J, K ).NE.ZERO )THEN
+ TEMP = ALPHA*A( J, K )
+ DO 230, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 230 CONTINUE
+ END IF
+ 240 CONTINUE
+ TEMP = ALPHA
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( K, K )
+ IF( TEMP.NE.ONE )THEN
+ DO 250, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 250 CONTINUE
+ END IF
+ 260 CONTINUE
+ ELSE
+ DO 300, K = N, 1, -1
+ DO 280, J = K + 1, N
+ IF( A( J, K ).NE.ZERO )THEN
+ TEMP = ALPHA*A( J, K )
+ DO 270, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 270 CONTINUE
+ END IF
+ 280 CONTINUE
+ TEMP = ALPHA
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( K, K )
+ IF( TEMP.NE.ONE )THEN
+ DO 290, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 290 CONTINUE
+ END IF
+ 300 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTRMM .
+*
+ END
diff --git a/src/fortran/blas/dtrmv.f b/src/fortran/blas/dtrmv.f
new file mode 100644
index 0000000..3d5c61b
--- /dev/null
+++ b/src/fortran/blas/dtrmv.f
@@ -0,0 +1,286 @@
+ SUBROUTINE DTRMV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTRMV performs one of the matrix-vector operations
+*
+* x := A*x, or x := A'*x,
+*
+* where x is an n element vector and A is an n by n unit, or non-unit,
+* upper or lower triangular matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' x := A*x.
+*
+* TRANS = 'T' or 't' x := A'*x.
+*
+* TRANS = 'C' or 'c' x := A'*x.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x. On exit, X is overwritten with the
+* tranformed vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, KX
+ LOGICAL NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTRMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOUNIT = LSAME( DIAG, 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := A*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ DO 10, I = 1, J - 1
+ X( I ) = X( I ) + TEMP*A( I, J )
+ 10 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( J, J )
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 30, I = 1, J - 1
+ X( IX ) = X( IX ) + TEMP*A( I, J )
+ IX = IX + INCX
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( J, J )
+ END IF
+ JX = JX + INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ DO 50, I = N, J + 1, -1
+ X( I ) = X( I ) + TEMP*A( I, J )
+ 50 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( J, J )
+ END IF
+ 60 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 80, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 70, I = N, J + 1, -1
+ X( IX ) = X( IX ) + TEMP*A( I, J )
+ IX = IX - INCX
+ 70 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( J, J )
+ END IF
+ JX = JX - INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := A'*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = N, 1, -1
+ TEMP = X( J )
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 90, I = J - 1, 1, -1
+ TEMP = TEMP + A( I, J )*X( I )
+ 90 CONTINUE
+ X( J ) = TEMP
+ 100 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 120, J = N, 1, -1
+ TEMP = X( JX )
+ IX = JX
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 110, I = J - 1, 1, -1
+ IX = IX - INCX
+ TEMP = TEMP + A( I, J )*X( IX )
+ 110 CONTINUE
+ X( JX ) = TEMP
+ JX = JX - INCX
+ 120 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 140, J = 1, N
+ TEMP = X( J )
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 130, I = J + 1, N
+ TEMP = TEMP + A( I, J )*X( I )
+ 130 CONTINUE
+ X( J ) = TEMP
+ 140 CONTINUE
+ ELSE
+ JX = KX
+ DO 160, J = 1, N
+ TEMP = X( JX )
+ IX = JX
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 150, I = J + 1, N
+ IX = IX + INCX
+ TEMP = TEMP + A( I, J )*X( IX )
+ 150 CONTINUE
+ X( JX ) = TEMP
+ JX = JX + INCX
+ 160 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTRMV .
+*
+ END
diff --git a/src/fortran/blas/dtrsm.f b/src/fortran/blas/dtrsm.f
new file mode 100644
index 0000000..e842514
--- /dev/null
+++ b/src/fortran/blas/dtrsm.f
@@ -0,0 +1,378 @@
+ SUBROUTINE DTRSM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
+ $ B, LDB )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
+ INTEGER M, N, LDA, LDB
+ DOUBLE PRECISION ALPHA
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), B( LDB, * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTRSM solves one of the matrix equations
+*
+* op( A )*X = alpha*B, or X*op( A ) = alpha*B,
+*
+* where alpha is a scalar, X and B are m by n matrices, A is a unit, or
+* non-unit, upper or lower triangular matrix and op( A ) is one of
+*
+* op( A ) = A or op( A ) = A'.
+*
+* The matrix X is overwritten on B.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether op( A ) appears on the left
+* or right of X as follows:
+*
+* SIDE = 'L' or 'l' op( A )*X = alpha*B.
+*
+* SIDE = 'R' or 'r' X*op( A ) = alpha*B.
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix A is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANSA - CHARACTER*1.
+* On entry, TRANSA specifies the form of op( A ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSA = 'N' or 'n' op( A ) = A.
+*
+* TRANSA = 'T' or 't' op( A ) = A'.
+*
+* TRANSA = 'C' or 'c' op( A ) = A'.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit triangular
+* as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of B. M must be at
+* least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of B. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha. When alpha is
+* zero then A is not referenced and B need not be set before
+* entry.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, k ), where k is m
+* when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
+* Before entry with UPLO = 'U' or 'u', the leading k by k
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading k by k
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
+* then LDA must be at least max( 1, n ).
+* Unchanged on exit.
+*
+* B - DOUBLE PRECISION array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the right-hand side matrix B, and on exit is
+* overwritten by the solution matrix X.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL LSIDE, NOUNIT, UPPER
+ INTEGER I, INFO, J, K, NROWA
+ DOUBLE PRECISION TEMP
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ LSIDE = LSAME( SIDE , 'L' )
+ IF( LSIDE )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ NOUNIT = LSAME( DIAG , 'N' )
+ UPPER = LSAME( UPLO , 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.LSIDE ).AND.
+ $ ( .NOT.LSAME( SIDE , 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( ( .NOT.LSAME( TRANSA, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'T' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'C' ) ) )THEN
+ INFO = 3
+ ELSE IF( ( .NOT.LSAME( DIAG , 'U' ) ).AND.
+ $ ( .NOT.LSAME( DIAG , 'N' ) ) )THEN
+ INFO = 4
+ ELSE IF( M .LT.0 )THEN
+ INFO = 5
+ ELSE IF( N .LT.0 )THEN
+ INFO = 6
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 9
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTRSM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ B( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSIDE )THEN
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*inv( A )*B.
+*
+ IF( UPPER )THEN
+ DO 60, J = 1, N
+ IF( ALPHA.NE.ONE )THEN
+ DO 30, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 30 CONTINUE
+ END IF
+ DO 50, K = M, 1, -1
+ IF( B( K, J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ B( K, J ) = B( K, J )/A( K, K )
+ DO 40, I = 1, K - 1
+ B( I, J ) = B( I, J ) - B( K, J )*A( I, K )
+ 40 CONTINUE
+ END IF
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 100, J = 1, N
+ IF( ALPHA.NE.ONE )THEN
+ DO 70, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 70 CONTINUE
+ END IF
+ DO 90 K = 1, M
+ IF( B( K, J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ B( K, J ) = B( K, J )/A( K, K )
+ DO 80, I = K + 1, M
+ B( I, J ) = B( I, J ) - B( K, J )*A( I, K )
+ 80 CONTINUE
+ END IF
+ 90 CONTINUE
+ 100 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*inv( A' )*B.
+*
+ IF( UPPER )THEN
+ DO 130, J = 1, N
+ DO 120, I = 1, M
+ TEMP = ALPHA*B( I, J )
+ DO 110, K = 1, I - 1
+ TEMP = TEMP - A( K, I )*B( K, J )
+ 110 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( I, I )
+ B( I, J ) = TEMP
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 160, J = 1, N
+ DO 150, I = M, 1, -1
+ TEMP = ALPHA*B( I, J )
+ DO 140, K = I + 1, M
+ TEMP = TEMP - A( K, I )*B( K, J )
+ 140 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( I, I )
+ B( I, J ) = TEMP
+ 150 CONTINUE
+ 160 CONTINUE
+ END IF
+ END IF
+ ELSE
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*B*inv( A ).
+*
+ IF( UPPER )THEN
+ DO 210, J = 1, N
+ IF( ALPHA.NE.ONE )THEN
+ DO 170, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 170 CONTINUE
+ END IF
+ DO 190, K = 1, J - 1
+ IF( A( K, J ).NE.ZERO )THEN
+ DO 180, I = 1, M
+ B( I, J ) = B( I, J ) - A( K, J )*B( I, K )
+ 180 CONTINUE
+ END IF
+ 190 CONTINUE
+ IF( NOUNIT )THEN
+ TEMP = ONE/A( J, J )
+ DO 200, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 200 CONTINUE
+ END IF
+ 210 CONTINUE
+ ELSE
+ DO 260, J = N, 1, -1
+ IF( ALPHA.NE.ONE )THEN
+ DO 220, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 220 CONTINUE
+ END IF
+ DO 240, K = J + 1, N
+ IF( A( K, J ).NE.ZERO )THEN
+ DO 230, I = 1, M
+ B( I, J ) = B( I, J ) - A( K, J )*B( I, K )
+ 230 CONTINUE
+ END IF
+ 240 CONTINUE
+ IF( NOUNIT )THEN
+ TEMP = ONE/A( J, J )
+ DO 250, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 250 CONTINUE
+ END IF
+ 260 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*B*inv( A' ).
+*
+ IF( UPPER )THEN
+ DO 310, K = N, 1, -1
+ IF( NOUNIT )THEN
+ TEMP = ONE/A( K, K )
+ DO 270, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 270 CONTINUE
+ END IF
+ DO 290, J = 1, K - 1
+ IF( A( J, K ).NE.ZERO )THEN
+ TEMP = A( J, K )
+ DO 280, I = 1, M
+ B( I, J ) = B( I, J ) - TEMP*B( I, K )
+ 280 CONTINUE
+ END IF
+ 290 CONTINUE
+ IF( ALPHA.NE.ONE )THEN
+ DO 300, I = 1, M
+ B( I, K ) = ALPHA*B( I, K )
+ 300 CONTINUE
+ END IF
+ 310 CONTINUE
+ ELSE
+ DO 360, K = 1, N
+ IF( NOUNIT )THEN
+ TEMP = ONE/A( K, K )
+ DO 320, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 320 CONTINUE
+ END IF
+ DO 340, J = K + 1, N
+ IF( A( J, K ).NE.ZERO )THEN
+ TEMP = A( J, K )
+ DO 330, I = 1, M
+ B( I, J ) = B( I, J ) - TEMP*B( I, K )
+ 330 CONTINUE
+ END IF
+ 340 CONTINUE
+ IF( ALPHA.NE.ONE )THEN
+ DO 350, I = 1, M
+ B( I, K ) = ALPHA*B( I, K )
+ 350 CONTINUE
+ END IF
+ 360 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTRSM .
+*
+ END
diff --git a/src/fortran/blas/dtrsv.f b/src/fortran/blas/dtrsv.f
new file mode 100644
index 0000000..9c3e90a
--- /dev/null
+++ b/src/fortran/blas/dtrsv.f
@@ -0,0 +1,289 @@
+ SUBROUTINE DTRSV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ DOUBLE PRECISION A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* DTRSV solves one of the systems of equations
+*
+* A*x = b, or A'*x = b,
+*
+* where b and x are n element vectors and A is an n by n unit, or
+* non-unit, upper or lower triangular matrix.
+*
+* No test for singularity or near-singularity is included in this
+* routine. Such tests must be performed before calling this routine.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the equations to be solved as
+* follows:
+*
+* TRANS = 'N' or 'n' A*x = b.
+*
+* TRANS = 'T' or 't' A'*x = b.
+*
+* TRANS = 'C' or 'c' A'*x = b.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+* X - DOUBLE PRECISION array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element right-hand side vector b. On exit, X is overwritten
+* with the solution vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ZERO
+ PARAMETER ( ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ DOUBLE PRECISION TEMP
+ INTEGER I, INFO, IX, J, JX, KX
+ LOGICAL NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'DTRSV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOUNIT = LSAME( DIAG, 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := inv( A )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( J, J )
+ TEMP = X( J )
+ DO 10, I = J - 1, 1, -1
+ X( I ) = X( I ) - TEMP*A( I, J )
+ 10 CONTINUE
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 40, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( J, J )
+ TEMP = X( JX )
+ IX = JX
+ DO 30, I = J - 1, 1, -1
+ IX = IX - INCX
+ X( IX ) = X( IX ) - TEMP*A( I, J )
+ 30 CONTINUE
+ END IF
+ JX = JX - INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( J, J )
+ TEMP = X( J )
+ DO 50, I = J + 1, N
+ X( I ) = X( I ) - TEMP*A( I, J )
+ 50 CONTINUE
+ END IF
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( J, J )
+ TEMP = X( JX )
+ IX = JX
+ DO 70, I = J + 1, N
+ IX = IX + INCX
+ X( IX ) = X( IX ) - TEMP*A( I, J )
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := inv( A' )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 100, J = 1, N
+ TEMP = X( J )
+ DO 90, I = 1, J - 1
+ TEMP = TEMP - A( I, J )*X( I )
+ 90 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ X( J ) = TEMP
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ DO 120, J = 1, N
+ TEMP = X( JX )
+ IX = KX
+ DO 110, I = 1, J - 1
+ TEMP = TEMP - A( I, J )*X( IX )
+ IX = IX + INCX
+ 110 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ X( JX ) = TEMP
+ JX = JX + INCX
+ 120 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 140, J = N, 1, -1
+ TEMP = X( J )
+ DO 130, I = N, J + 1, -1
+ TEMP = TEMP - A( I, J )*X( I )
+ 130 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ X( J ) = TEMP
+ 140 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 160, J = N, 1, -1
+ TEMP = X( JX )
+ IX = KX
+ DO 150, I = N, J + 1, -1
+ TEMP = TEMP - A( I, J )*X( IX )
+ IX = IX - INCX
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ X( JX ) = TEMP
+ JX = JX - INCX
+ 160 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of DTRSV .
+*
+ END
diff --git a/src/fortran/blas/dzasum.f b/src/fortran/blas/dzasum.f
new file mode 100644
index 0000000..d21c1ff
--- /dev/null
+++ b/src/fortran/blas/dzasum.f
@@ -0,0 +1,34 @@
+ double precision function dzasum(n,zx,incx)
+c
+c takes the sum of the absolute values.
+c jack dongarra, 3/11/78.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*)
+ double precision stemp,dcabs1
+ integer i,incx,ix,n
+c
+ dzasum = 0.0d0
+ stemp = 0.0d0
+ if( n.le.0 .or. incx.le.0 )return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ ix = 1
+ do 10 i = 1,n
+ stemp = stemp + dcabs1(zx(ix))
+ ix = ix + incx
+ 10 continue
+ dzasum = stemp
+ return
+c
+c code for increment equal to 1
+c
+ 20 do 30 i = 1,n
+ stemp = stemp + dcabs1(zx(i))
+ 30 continue
+ dzasum = stemp
+ return
+ end
diff --git a/src/fortran/blas/dznrm2.f b/src/fortran/blas/dznrm2.f
new file mode 100644
index 0000000..205ce39
--- /dev/null
+++ b/src/fortran/blas/dznrm2.f
@@ -0,0 +1,67 @@
+ DOUBLE PRECISION FUNCTION DZNRM2( N, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+* .. Array Arguments ..
+ COMPLEX*16 X( * )
+* ..
+*
+* DZNRM2 returns the euclidean norm of a vector via the function
+* name, so that
+*
+* DZNRM2 := sqrt( conjg( x' )*x )
+*
+*
+*
+* -- This version written on 25-October-1982.
+* Modified on 14-October-1993 to inline the call to ZLASSQ.
+* Sven Hammarling, Nag Ltd.
+*
+*
+* .. Parameters ..
+ DOUBLE PRECISION ONE , ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* .. Local Scalars ..
+ INTEGER IX
+ DOUBLE PRECISION NORM, SCALE, SSQ, TEMP
+* .. Intrinsic Functions ..
+ INTRINSIC ABS, DIMAG, DBLE, SQRT
+* ..
+* .. Executable Statements ..
+ IF( N.LT.1 .OR. INCX.LT.1 )THEN
+ NORM = ZERO
+ ELSE
+ SCALE = ZERO
+ SSQ = ONE
+* The following loop is equivalent to this call to the LAPACK
+* auxiliary routine:
+* CALL ZLASSQ( N, X, INCX, SCALE, SSQ )
+*
+ DO 10, IX = 1, 1 + ( N - 1 )*INCX, INCX
+ IF( DBLE( X( IX ) ).NE.ZERO )THEN
+ TEMP = ABS( DBLE( X( IX ) ) )
+ IF( SCALE.LT.TEMP )THEN
+ SSQ = ONE + SSQ*( SCALE/TEMP )**2
+ SCALE = TEMP
+ ELSE
+ SSQ = SSQ + ( TEMP/SCALE )**2
+ END IF
+ END IF
+ IF( DIMAG( X( IX ) ).NE.ZERO )THEN
+ TEMP = ABS( DIMAG( X( IX ) ) )
+ IF( SCALE.LT.TEMP )THEN
+ SSQ = ONE + SSQ*( SCALE/TEMP )**2
+ SCALE = TEMP
+ ELSE
+ SSQ = SSQ + ( TEMP/SCALE )**2
+ END IF
+ END IF
+ 10 CONTINUE
+ NORM = SCALE * SQRT( SSQ )
+ END IF
+*
+ DZNRM2 = NORM
+ RETURN
+*
+* End of DZNRM2.
+*
+ END
diff --git a/src/fortran/blas/idamax.f b/src/fortran/blas/idamax.f
new file mode 100644
index 0000000..59d80dc
--- /dev/null
+++ b/src/fortran/blas/idamax.f
@@ -0,0 +1,39 @@
+ integer function idamax(n,dx,incx)
+c
+c finds the index of element having max. absolute value.
+c jack dongarra, linpack, 3/11/78.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double precision dx(*),dmax
+ integer i,incx,ix,n
+c
+ idamax = 0
+ if( n.lt.1 .or. incx.le.0 ) return
+ idamax = 1
+ if(n.eq.1)return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ ix = 1
+ dmax = dabs(dx(1))
+ ix = ix + incx
+ do 10 i = 2,n
+ if(dabs(dx(ix)).le.dmax) go to 5
+ idamax = i
+ dmax = dabs(dx(ix))
+ 5 ix = ix + incx
+ 10 continue
+ return
+c
+c code for increment equal to 1
+c
+ 20 dmax = dabs(dx(1))
+ do 30 i = 2,n
+ if(dabs(dx(i)).le.dmax) go to 30
+ idamax = i
+ dmax = dabs(dx(i))
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/izamax.f b/src/fortran/blas/izamax.f
new file mode 100644
index 0000000..ec14f82
--- /dev/null
+++ b/src/fortran/blas/izamax.f
@@ -0,0 +1,41 @@
+ integer function izamax(n,zx,incx)
+c
+c finds the index of element having max. absolute value.
+c jack dongarra, 1/15/85.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*)
+ double precision smax
+ integer i,incx,ix,n
+ double precision dcabs1
+c
+ izamax = 0
+ if( n.lt.1 .or. incx.le.0 )return
+ izamax = 1
+ if(n.eq.1)return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ ix = 1
+ smax = dcabs1(zx(1))
+ ix = ix + incx
+ do 10 i = 2,n
+ if(dcabs1(zx(ix)).le.smax) go to 5
+ izamax = i
+ smax = dcabs1(zx(ix))
+ 5 ix = ix + incx
+ 10 continue
+ return
+c
+c code for increment equal to 1
+c
+ 20 smax = dcabs1(zx(1))
+ do 30 i = 2,n
+ if(dcabs1(zx(i)).le.smax) go to 30
+ izamax = i
+ smax = dcabs1(zx(i))
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/license.txt b/src/fortran/blas/license.txt
new file mode 100644
index 0000000..8014a5b
--- /dev/null
+++ b/src/fortran/blas/license.txt
@@ -0,0 +1,6 @@
+This software is in the public domain
+
+
+More information:
+http://www.netlib.org/blas/faq.html#2
+http://packages.debian.org/changelogs/pool/main/b/blas/blas_1.1-14/blas.copyright \ No newline at end of file
diff --git a/src/fortran/blas/lsame.f b/src/fortran/blas/lsame.f
new file mode 100644
index 0000000..bf25d86
--- /dev/null
+++ b/src/fortran/blas/lsame.f
@@ -0,0 +1,87 @@
+ LOGICAL FUNCTION LSAME( CA, CB )
+*
+* -- LAPACK auxiliary routine (version 3.0) --
+* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
+* Courant Institute, Argonne National Lab, and Rice University
+* September 30, 1994
+*
+* .. Scalar Arguments ..
+ CHARACTER CA, CB
+* ..
+*
+* Purpose
+* =======
+*
+* LSAME returns .TRUE. if CA is the same letter as CB regardless of
+* case.
+*
+* Arguments
+* =========
+*
+* CA (input) CHARACTER*1
+* CB (input) CHARACTER*1
+* CA and CB specify the single characters to be compared.
+*
+* =====================================================================
+*
+* .. Intrinsic Functions ..
+ INTRINSIC ICHAR
+* ..
+* .. Local Scalars ..
+ INTEGER INTA, INTB, ZCODE
+* ..
+* .. Executable Statements ..
+*
+* Test if the characters are equal
+*
+ LSAME = CA.EQ.CB
+ IF( LSAME )
+ $ RETURN
+*
+* Now test for equivalence if both characters are alphabetic.
+*
+ ZCODE = ICHAR( 'Z' )
+*
+* Use 'Z' rather than 'A' so that ASCII can be detected on Prime
+* machines, on which ICHAR returns a value with bit 8 set.
+* ICHAR('A') on Prime machines returns 193 which is the same as
+* ICHAR('A') on an EBCDIC machine.
+*
+ INTA = ICHAR( CA )
+ INTB = ICHAR( CB )
+*
+ IF( ZCODE.EQ.90 .OR. ZCODE.EQ.122 ) THEN
+*
+* ASCII is assumed - ZCODE is the ASCII code of either lower or
+* upper case 'Z'.
+*
+ IF( INTA.GE.97 .AND. INTA.LE.122 ) INTA = INTA - 32
+ IF( INTB.GE.97 .AND. INTB.LE.122 ) INTB = INTB - 32
+*
+ ELSE IF( ZCODE.EQ.233 .OR. ZCODE.EQ.169 ) THEN
+*
+* EBCDIC is assumed - ZCODE is the EBCDIC code of either lower or
+* upper case 'Z'.
+*
+ IF( INTA.GE.129 .AND. INTA.LE.137 .OR.
+ $ INTA.GE.145 .AND. INTA.LE.153 .OR.
+ $ INTA.GE.162 .AND. INTA.LE.169 ) INTA = INTA + 64
+ IF( INTB.GE.129 .AND. INTB.LE.137 .OR.
+ $ INTB.GE.145 .AND. INTB.LE.153 .OR.
+ $ INTB.GE.162 .AND. INTB.LE.169 ) INTB = INTB + 64
+*
+ ELSE IF( ZCODE.EQ.218 .OR. ZCODE.EQ.250 ) THEN
+*
+* ASCII is assumed, on Prime machines - ZCODE is the ASCII code
+* plus 128 of either lower or upper case 'Z'.
+*
+ IF( INTA.GE.225 .AND. INTA.LE.250 ) INTA = INTA - 32
+ IF( INTB.GE.225 .AND. INTB.LE.250 ) INTB = INTB - 32
+ END IF
+ LSAME = INTA.EQ.INTB
+*
+* RETURN
+*
+* End of LSAME
+*
+ END
diff --git a/src/fortran/blas/xerbla.f b/src/fortran/blas/xerbla.f
new file mode 100644
index 0000000..6e11175
--- /dev/null
+++ b/src/fortran/blas/xerbla.f
@@ -0,0 +1,46 @@
+ SUBROUTINE XERBLA( SRNAME, INFO )
+*
+* -- LAPACK auxiliary routine (version 3.0) --
+* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
+* Courant Institute, Argonne National Lab, and Rice University
+* September 30, 1994
+*
+* .. Scalar Arguments ..
+ CHARACTER*6 SRNAME
+ INTEGER INFO
+* ..
+*
+* Purpose
+* =======
+*
+* XERBLA is an error handler for the LAPACK routines.
+* It is called by an LAPACK routine if an input parameter has an
+* invalid value. A message is printed and execution stops.
+*
+* Installers may consider modifying the STOP statement in order to
+* call system-specific exception-handling facilities.
+*
+* Arguments
+* =========
+*
+* SRNAME (input) CHARACTER*6
+* The name of the routine which called XERBLA.
+*
+* INFO (input) INTEGER
+* The position of the invalid parameter in the parameter list
+* of the calling routine.
+*
+* =====================================================================
+*
+* .. Executable Statements ..
+*
+ WRITE( *, FMT = 9999 )SRNAME, INFO
+*
+ STOP
+*
+ 9999 FORMAT( ' ** On entry to ', A6, ' parameter number ', I2, ' had ',
+ $ 'an illegal value' )
+*
+* End of XERBLA
+*
+ END
diff --git a/src/fortran/blas/zaxpy.f b/src/fortran/blas/zaxpy.f
new file mode 100644
index 0000000..4fa3b1e
--- /dev/null
+++ b/src/fortran/blas/zaxpy.f
@@ -0,0 +1,34 @@
+ subroutine zaxpy(n,za,zx,incx,zy,incy)
+c
+c constant times a vector plus a vector.
+c jack dongarra, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*),zy(*),za
+ integer i,incx,incy,ix,iy,n
+ double precision dcabs1
+ if(n.le.0)return
+ if (dcabs1(za) .eq. 0.0d0) return
+ if (incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ zy(iy) = zy(iy) + za*zx(ix)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+c
+ 20 do 30 i = 1,n
+ zy(i) = zy(i) + za*zx(i)
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/zcopy.f b/src/fortran/blas/zcopy.f
new file mode 100644
index 0000000..9ccfa88
--- /dev/null
+++ b/src/fortran/blas/zcopy.f
@@ -0,0 +1,33 @@
+ subroutine zcopy(n,zx,incx,zy,incy)
+c
+c copies a vector, x, to a vector, y.
+c jack dongarra, linpack, 4/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*),zy(*)
+ integer i,incx,incy,ix,iy,n
+c
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ zy(iy) = zx(ix)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+c
+ 20 do 30 i = 1,n
+ zy(i) = zx(i)
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/zdotc.f b/src/fortran/blas/zdotc.f
new file mode 100644
index 0000000..d6ac685
--- /dev/null
+++ b/src/fortran/blas/zdotc.f
@@ -0,0 +1,36 @@
+ double complex function zdotc(n,zx,incx,zy,incy)
+c
+c forms the dot product of a vector.
+c jack dongarra, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*),zy(*),ztemp
+ integer i,incx,incy,ix,iy,n
+ ztemp = (0.0d0,0.0d0)
+ zdotc = (0.0d0,0.0d0)
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ ztemp = ztemp + dconjg(zx(ix))*zy(iy)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ zdotc = ztemp
+ return
+c
+c code for both increments equal to 1
+c
+ 20 do 30 i = 1,n
+ ztemp = ztemp + dconjg(zx(i))*zy(i)
+ 30 continue
+ zdotc = ztemp
+ return
+ end
diff --git a/src/fortran/blas/zdotu.f b/src/fortran/blas/zdotu.f
new file mode 100644
index 0000000..329e988
--- /dev/null
+++ b/src/fortran/blas/zdotu.f
@@ -0,0 +1,36 @@
+ double complex function zdotu(n,zx,incx,zy,incy)
+c
+c forms the dot product of two vectors.
+c jack dongarra, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*),zy(*),ztemp
+ integer i,incx,incy,ix,iy,n
+ ztemp = (0.0d0,0.0d0)
+ zdotu = (0.0d0,0.0d0)
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments
+c not equal to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ ztemp = ztemp + zx(ix)*zy(iy)
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ zdotu = ztemp
+ return
+c
+c code for both increments equal to 1
+c
+ 20 do 30 i = 1,n
+ ztemp = ztemp + zx(i)*zy(i)
+ 30 continue
+ zdotu = ztemp
+ return
+ end
diff --git a/src/fortran/blas/zdscal.f b/src/fortran/blas/zdscal.f
new file mode 100644
index 0000000..8123424
--- /dev/null
+++ b/src/fortran/blas/zdscal.f
@@ -0,0 +1,30 @@
+ subroutine zdscal(n,da,zx,incx)
+c
+c scales a vector by a constant.
+c jack dongarra, 3/11/78.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*)
+ double precision da
+ integer i,incx,ix,n
+c
+ if( n.le.0 .or. incx.le.0 )return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ ix = 1
+ do 10 i = 1,n
+ zx(ix) = dcmplx(da,0.0d0)*zx(ix)
+ ix = ix + incx
+ 10 continue
+ return
+c
+c code for increment equal to 1
+c
+ 20 do 30 i = 1,n
+ zx(i) = dcmplx(da,0.0d0)*zx(i)
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/zgbmv.f b/src/fortran/blas/zgbmv.f
new file mode 100644
index 0000000..91ce9a6
--- /dev/null
+++ b/src/fortran/blas/zgbmv.f
@@ -0,0 +1,322 @@
+ SUBROUTINE ZGBMV ( TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA, BETA
+ INTEGER INCX, INCY, KL, KU, LDA, M, N
+ CHARACTER*1 TRANS
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZGBMV performs one of the matrix-vector operations
+*
+* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or
+*
+* y := alpha*conjg( A' )*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are vectors and A is an
+* m by n band matrix, with kl sub-diagonals and ku super-diagonals.
+*
+* Parameters
+* ==========
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
+*
+* TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
+*
+* TRANS = 'C' or 'c' y := alpha*conjg( A' )*x + beta*y.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* KL - INTEGER.
+* On entry, KL specifies the number of sub-diagonals of the
+* matrix A. KL must satisfy 0 .le. KL.
+* Unchanged on exit.
+*
+* KU - INTEGER.
+* On entry, KU specifies the number of super-diagonals of the
+* matrix A. KU must satisfy 0 .le. KU.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry, the leading ( kl + ku + 1 ) by n part of the
+* array A must contain the matrix of coefficients, supplied
+* column by column, with the leading diagonal of the matrix in
+* row ( ku + 1 ) of the array, the first super-diagonal
+* starting at position 2 in row ku, the first sub-diagonal
+* starting at position 1 in row ( ku + 2 ), and so on.
+* Elements in the array A that do not correspond to elements
+* in the band matrix (such as the top left ku by ku triangle)
+* are not referenced.
+* The following program segment will transfer a band matrix
+* from conventional full matrix storage to band storage:
+*
+* DO 20, J = 1, N
+* K = KU + 1 - J
+* DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL )
+* A( K + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( kl + ku + 1 ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
+* Before entry, the incremented array X must contain the
+* vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of DIMENSION at least
+* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
+* Before entry, the incremented array Y must contain the
+* vector y. On exit, Y is overwritten by the updated vector y.
+*
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, IY, J, JX, JY, K, KUP1, KX, KY,
+ $ LENX, LENY
+ LOGICAL NOCONJ
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 1
+ ELSE IF( M.LT.0 )THEN
+ INFO = 2
+ ELSE IF( N.LT.0 )THEN
+ INFO = 3
+ ELSE IF( KL.LT.0 )THEN
+ INFO = 4
+ ELSE IF( KU.LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.( KL + KU + 1 ) )THEN
+ INFO = 8
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 10
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 13
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZGBMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+*
+* Set LENX and LENY, the lengths of the vectors x and y, and set
+* up the start points in X and Y.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ LENX = N
+ LENY = M
+ ELSE
+ LENX = M
+ LENY = N
+ END IF
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( LENX - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( LENY - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the band part of A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, LENY
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, LENY
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, LENY
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, LENY
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ KUP1 = KU + 1
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form y := alpha*A*x + y.
+*
+ JX = KX
+ IF( INCY.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ K = KUP1 - J
+ DO 50, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ Y( I ) = Y( I ) + TEMP*A( K + I, J )
+ 50 CONTINUE
+ END IF
+ JX = JX + INCX
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IY = KY
+ K = KUP1 - J
+ DO 70, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ Y( IY ) = Y( IY ) + TEMP*A( K + I, J )
+ IY = IY + INCY
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ IF( J.GT.KU )
+ $ KY = KY + INCY
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y := alpha*A'*x + y or y := alpha*conjg( A' )*x + y.
+*
+ JY = KY
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = 1, N
+ TEMP = ZERO
+ K = KUP1 - J
+ IF( NOCONJ )THEN
+ DO 90, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ TEMP = TEMP + A( K + I, J )*X( I )
+ 90 CONTINUE
+ ELSE
+ DO 100, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ TEMP = TEMP + DCONJG( A( K + I, J ) )*X( I )
+ 100 CONTINUE
+ END IF
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ 110 CONTINUE
+ ELSE
+ DO 140, J = 1, N
+ TEMP = ZERO
+ IX = KX
+ K = KUP1 - J
+ IF( NOCONJ )THEN
+ DO 120, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ TEMP = TEMP + A( K + I, J )*X( IX )
+ IX = IX + INCX
+ 120 CONTINUE
+ ELSE
+ DO 130, I = MAX( 1, J - KU ), MIN( M, J + KL )
+ TEMP = TEMP + DCONJG( A( K + I, J ) )*X( IX )
+ IX = IX + INCX
+ 130 CONTINUE
+ END IF
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ IF( J.GT.KU )
+ $ KX = KX + INCX
+ 140 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZGBMV .
+*
+ END
diff --git a/src/fortran/blas/zgemm.f b/src/fortran/blas/zgemm.f
new file mode 100644
index 0000000..09cd151
--- /dev/null
+++ b/src/fortran/blas/zgemm.f
@@ -0,0 +1,415 @@
+ SUBROUTINE ZGEMM ( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 TRANSA, TRANSB
+ INTEGER M, N, K, LDA, LDB, LDC
+ COMPLEX*16 ALPHA, BETA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZGEMM performs one of the matrix-matrix operations
+*
+* C := alpha*op( A )*op( B ) + beta*C,
+*
+* where op( X ) is one of
+*
+* op( X ) = X or op( X ) = X' or op( X ) = conjg( X' ),
+*
+* alpha and beta are scalars, and A, B and C are matrices, with op( A )
+* an m by k matrix, op( B ) a k by n matrix and C an m by n matrix.
+*
+* Parameters
+* ==========
+*
+* TRANSA - CHARACTER*1.
+* On entry, TRANSA specifies the form of op( A ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSA = 'N' or 'n', op( A ) = A.
+*
+* TRANSA = 'T' or 't', op( A ) = A'.
+*
+* TRANSA = 'C' or 'c', op( A ) = conjg( A' ).
+*
+* Unchanged on exit.
+*
+* TRANSB - CHARACTER*1.
+* On entry, TRANSB specifies the form of op( B ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSB = 'N' or 'n', op( B ) = B.
+*
+* TRANSB = 'T' or 't', op( B ) = B'.
+*
+* TRANSB = 'C' or 'c', op( B ) = conjg( B' ).
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix
+* op( A ) and of the matrix C. M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix
+* op( B ) and the number of columns of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry, K specifies the number of columns of the matrix
+* op( A ) and the number of rows of the matrix op( B ). K must
+* be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANSA = 'N' or 'n', and is m otherwise.
+* Before entry with TRANSA = 'N' or 'n', the leading m by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by m part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANSA = 'N' or 'n' then
+* LDA must be at least max( 1, m ), otherwise LDA must be at
+* least max( 1, k ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is
+* n when TRANSB = 'N' or 'n', and is k otherwise.
+* Before entry with TRANSB = 'N' or 'n', the leading k by n
+* part of the array B must contain the matrix B, otherwise
+* the leading n by k part of the array B must contain the
+* matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. When TRANSB = 'N' or 'n' then
+* LDB must be at least max( 1, k ), otherwise LDB must be at
+* least max( 1, n ).
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then C need not be set on input.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry, the leading m by n part of the array C must
+* contain the matrix C, except when beta is zero, in which
+* case C need not be set on entry.
+* On exit, the array C is overwritten by the m by n matrix
+* ( alpha*op( A )*op( B ) + beta*C ).
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* .. Local Scalars ..
+ LOGICAL CONJA, CONJB, NOTA, NOTB
+ INTEGER I, INFO, J, L, NCOLA, NROWA, NROWB
+ COMPLEX*16 TEMP
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Set NOTA and NOTB as true if A and B respectively are not
+* conjugated or transposed, set CONJA and CONJB as true if A and
+* B respectively are to be transposed but not conjugated and set
+* NROWA, NCOLA and NROWB as the number of rows and columns of A
+* and the number of rows of B respectively.
+*
+ NOTA = LSAME( TRANSA, 'N' )
+ NOTB = LSAME( TRANSB, 'N' )
+ CONJA = LSAME( TRANSA, 'C' )
+ CONJB = LSAME( TRANSB, 'C' )
+ IF( NOTA )THEN
+ NROWA = M
+ NCOLA = K
+ ELSE
+ NROWA = K
+ NCOLA = M
+ END IF
+ IF( NOTB )THEN
+ NROWB = K
+ ELSE
+ NROWB = N
+ END IF
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( ( .NOT.NOTA ).AND.
+ $ ( .NOT.CONJA ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'T' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.NOTB ).AND.
+ $ ( .NOT.CONJB ).AND.
+ $ ( .NOT.LSAME( TRANSB, 'T' ) ) )THEN
+ INFO = 2
+ ELSE IF( M .LT.0 )THEN
+ INFO = 3
+ ELSE IF( N .LT.0 )THEN
+ INFO = 4
+ ELSE IF( K .LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 8
+ ELSE IF( LDB.LT.MAX( 1, NROWB ) )THEN
+ INFO = 10
+ ELSE IF( LDC.LT.MAX( 1, M ) )THEN
+ INFO = 13
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZGEMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( NOTB )THEN
+ IF( NOTA )THEN
+*
+* Form C := alpha*A*B + beta*C.
+*
+ DO 90, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 50, I = 1, M
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 60, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 60 CONTINUE
+ END IF
+ DO 80, L = 1, K
+ IF( B( L, J ).NE.ZERO )THEN
+ TEMP = ALPHA*B( L, J )
+ DO 70, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 70 CONTINUE
+ END IF
+ 80 CONTINUE
+ 90 CONTINUE
+ ELSE IF( CONJA )THEN
+*
+* Form C := alpha*conjg( A' )*B + beta*C.
+*
+ DO 120, J = 1, N
+ DO 110, I = 1, M
+ TEMP = ZERO
+ DO 100, L = 1, K
+ TEMP = TEMP + DCONJG( A( L, I ) )*B( L, J )
+ 100 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 110 CONTINUE
+ 120 CONTINUE
+ ELSE
+*
+* Form C := alpha*A'*B + beta*C
+*
+ DO 150, J = 1, N
+ DO 140, I = 1, M
+ TEMP = ZERO
+ DO 130, L = 1, K
+ TEMP = TEMP + A( L, I )*B( L, J )
+ 130 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 140 CONTINUE
+ 150 CONTINUE
+ END IF
+ ELSE IF( NOTA )THEN
+ IF( CONJB )THEN
+*
+* Form C := alpha*A*conjg( B' ) + beta*C.
+*
+ DO 200, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 160, I = 1, M
+ C( I, J ) = ZERO
+ 160 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 170, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 170 CONTINUE
+ END IF
+ DO 190, L = 1, K
+ IF( B( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( B( J, L ) )
+ DO 180, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 180 CONTINUE
+ END IF
+ 190 CONTINUE
+ 200 CONTINUE
+ ELSE
+*
+* Form C := alpha*A*B' + beta*C
+*
+ DO 250, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 210, I = 1, M
+ C( I, J ) = ZERO
+ 210 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 220, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 220 CONTINUE
+ END IF
+ DO 240, L = 1, K
+ IF( B( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*B( J, L )
+ DO 230, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 230 CONTINUE
+ END IF
+ 240 CONTINUE
+ 250 CONTINUE
+ END IF
+ ELSE IF( CONJA )THEN
+ IF( CONJB )THEN
+*
+* Form C := alpha*conjg( A' )*conjg( B' ) + beta*C.
+*
+ DO 280, J = 1, N
+ DO 270, I = 1, M
+ TEMP = ZERO
+ DO 260, L = 1, K
+ TEMP = TEMP +
+ $ DCONJG( A( L, I ) )*DCONJG( B( J, L ) )
+ 260 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 270 CONTINUE
+ 280 CONTINUE
+ ELSE
+*
+* Form C := alpha*conjg( A' )*B' + beta*C
+*
+ DO 310, J = 1, N
+ DO 300, I = 1, M
+ TEMP = ZERO
+ DO 290, L = 1, K
+ TEMP = TEMP + DCONJG( A( L, I ) )*B( J, L )
+ 290 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 300 CONTINUE
+ 310 CONTINUE
+ END IF
+ ELSE
+ IF( CONJB )THEN
+*
+* Form C := alpha*A'*conjg( B' ) + beta*C
+*
+ DO 340, J = 1, N
+ DO 330, I = 1, M
+ TEMP = ZERO
+ DO 320, L = 1, K
+ TEMP = TEMP + A( L, I )*DCONJG( B( J, L ) )
+ 320 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 330 CONTINUE
+ 340 CONTINUE
+ ELSE
+*
+* Form C := alpha*A'*B' + beta*C
+*
+ DO 370, J = 1, N
+ DO 360, I = 1, M
+ TEMP = ZERO
+ DO 350, L = 1, K
+ TEMP = TEMP + A( L, I )*B( J, L )
+ 350 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 360 CONTINUE
+ 370 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZGEMM .
+*
+ END
diff --git a/src/fortran/blas/zgemv.f b/src/fortran/blas/zgemv.f
new file mode 100644
index 0000000..014a5e0
--- /dev/null
+++ b/src/fortran/blas/zgemv.f
@@ -0,0 +1,281 @@
+ SUBROUTINE ZGEMV ( TRANS, M, N, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA, BETA
+ INTEGER INCX, INCY, LDA, M, N
+ CHARACTER*1 TRANS
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZGEMV performs one of the matrix-vector operations
+*
+* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or
+*
+* y := alpha*conjg( A' )*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are vectors and A is an
+* m by n matrix.
+*
+* Parameters
+* ==========
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
+*
+* TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
+*
+* TRANS = 'C' or 'c' y := alpha*conjg( A' )*x + beta*y.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry, the leading m by n part of the array A must
+* contain the matrix of coefficients.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
+* Before entry, the incremented array X must contain the
+* vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of DIMENSION at least
+* ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
+* and at least
+* ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
+* Before entry with BETA non-zero, the incremented array Y
+* must contain the vector y. On exit, Y is overwritten by the
+* updated vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY, LENX, LENY
+ LOGICAL NOCONJ
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 1
+ ELSE IF( M.LT.0 )THEN
+ INFO = 2
+ ELSE IF( N.LT.0 )THEN
+ INFO = 3
+ ELSE IF( LDA.LT.MAX( 1, M ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZGEMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+*
+* Set LENX and LENY, the lengths of the vectors x and y, and set
+* up the start points in X and Y.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ LENX = N
+ LENY = M
+ ELSE
+ LENX = M
+ LENY = N
+ END IF
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( LENX - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( LENY - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, LENY
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, LENY
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, LENY
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, LENY
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form y := alpha*A*x + y.
+*
+ JX = KX
+ IF( INCY.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ DO 50, I = 1, M
+ Y( I ) = Y( I ) + TEMP*A( I, J )
+ 50 CONTINUE
+ END IF
+ JX = JX + INCX
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*X( JX )
+ IY = KY
+ DO 70, I = 1, M
+ Y( IY ) = Y( IY ) + TEMP*A( I, J )
+ IY = IY + INCY
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y := alpha*A'*x + y or y := alpha*conjg( A' )*x + y.
+*
+ JY = KY
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = 1, N
+ TEMP = ZERO
+ IF( NOCONJ )THEN
+ DO 90, I = 1, M
+ TEMP = TEMP + A( I, J )*X( I )
+ 90 CONTINUE
+ ELSE
+ DO 100, I = 1, M
+ TEMP = TEMP + DCONJG( A( I, J ) )*X( I )
+ 100 CONTINUE
+ END IF
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ 110 CONTINUE
+ ELSE
+ DO 140, J = 1, N
+ TEMP = ZERO
+ IX = KX
+ IF( NOCONJ )THEN
+ DO 120, I = 1, M
+ TEMP = TEMP + A( I, J )*X( IX )
+ IX = IX + INCX
+ 120 CONTINUE
+ ELSE
+ DO 130, I = 1, M
+ TEMP = TEMP + DCONJG( A( I, J ) )*X( IX )
+ IX = IX + INCX
+ 130 CONTINUE
+ END IF
+ Y( JY ) = Y( JY ) + ALPHA*TEMP
+ JY = JY + INCY
+ 140 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZGEMV .
+*
+ END
diff --git a/src/fortran/blas/zgerc.f b/src/fortran/blas/zgerc.f
new file mode 100644
index 0000000..968c5b4
--- /dev/null
+++ b/src/fortran/blas/zgerc.f
@@ -0,0 +1,157 @@
+ SUBROUTINE ZGERC ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA
+ INTEGER INCX, INCY, LDA, M, N
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZGERC performs the rank 1 operation
+*
+* A := alpha*x*conjg( y' ) + A,
+*
+* where alpha is a scalar, x is an m element vector, y is an n element
+* vector and A is an m by n matrix.
+*
+* Parameters
+* ==========
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( m - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the m
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry, the leading m by n part of the array A must
+* contain the matrix of coefficients. On exit, A is
+* overwritten by the updated matrix.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JY, KX
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( M.LT.0 )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( LDA.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZGERC ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( INCY.GT.0 )THEN
+ JY = 1
+ ELSE
+ JY = 1 - ( N - 1 )*INCY
+ END IF
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( Y( JY ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( Y( JY ) )
+ DO 10, I = 1, M
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 10 CONTINUE
+ END IF
+ JY = JY + INCY
+ 20 CONTINUE
+ ELSE
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( M - 1 )*INCX
+ END IF
+ DO 40, J = 1, N
+ IF( Y( JY ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( Y( JY ) )
+ IX = KX
+ DO 30, I = 1, M
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ END IF
+ JY = JY + INCY
+ 40 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of ZGERC .
+*
+ END
diff --git a/src/fortran/blas/zgeru.f b/src/fortran/blas/zgeru.f
new file mode 100644
index 0000000..5283af6
--- /dev/null
+++ b/src/fortran/blas/zgeru.f
@@ -0,0 +1,157 @@
+ SUBROUTINE ZGERU ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA
+ INTEGER INCX, INCY, LDA, M, N
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZGERU performs the rank 1 operation
+*
+* A := alpha*x*y' + A,
+*
+* where alpha is a scalar, x is an m element vector, y is an n element
+* vector and A is an m by n matrix.
+*
+* Parameters
+* ==========
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix A.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( m - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the m
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry, the leading m by n part of the array A must
+* contain the matrix of coefficients. On exit, A is
+* overwritten by the updated matrix.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JY, KX
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( M.LT.0 )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( LDA.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZGERU ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( INCY.GT.0 )THEN
+ JY = 1
+ ELSE
+ JY = 1 - ( N - 1 )*INCY
+ END IF
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( Y( JY ).NE.ZERO )THEN
+ TEMP = ALPHA*Y( JY )
+ DO 10, I = 1, M
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 10 CONTINUE
+ END IF
+ JY = JY + INCY
+ 20 CONTINUE
+ ELSE
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( M - 1 )*INCX
+ END IF
+ DO 40, J = 1, N
+ IF( Y( JY ).NE.ZERO )THEN
+ TEMP = ALPHA*Y( JY )
+ IX = KX
+ DO 30, I = 1, M
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ END IF
+ JY = JY + INCY
+ 40 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of ZGERU .
+*
+ END
diff --git a/src/fortran/blas/zhbmv.f b/src/fortran/blas/zhbmv.f
new file mode 100644
index 0000000..1c04493
--- /dev/null
+++ b/src/fortran/blas/zhbmv.f
@@ -0,0 +1,309 @@
+ SUBROUTINE ZHBMV ( UPLO, N, K, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA, BETA
+ INTEGER INCX, INCY, K, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHBMV performs the matrix-vector operation
+*
+* y := alpha*A*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are n element vectors and
+* A is an n by n hermitian band matrix, with k super-diagonals.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the band matrix A is being supplied as
+* follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* being supplied.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* being supplied.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry, K specifies the number of super-diagonals of the
+* matrix A. K must satisfy 0 .le. K.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
+* by n part of the array A must contain the upper triangular
+* band part of the hermitian matrix, supplied column by
+* column, with the leading diagonal of the matrix in row
+* ( k + 1 ) of the array, the first super-diagonal starting at
+* position 2 in row k, and so on. The top left k by k triangle
+* of the array A is not referenced.
+* The following program segment will transfer the upper
+* triangular part of a hermitian band matrix from conventional
+* full matrix storage to band storage:
+*
+* DO 20, J = 1, N
+* M = K + 1 - J
+* DO 10, I = MAX( 1, J - K ), J
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
+* by n part of the array A must contain the lower triangular
+* band part of the hermitian matrix, supplied column by
+* column, with the leading diagonal of the matrix in row 1 of
+* the array, the first sub-diagonal starting at position 1 in
+* row 2, and so on. The bottom right k by k triangle of the
+* array A is not referenced.
+* The following program segment will transfer the lower
+* triangular part of a hermitian band matrix from conventional
+* full matrix storage to band storage:
+*
+* DO 20, J = 1, N
+* M = 1 - J
+* DO 10, I = J, MIN( N, J + K )
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Note that the imaginary parts of the diagonal elements need
+* not be set and are assumed to be zero.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( k + 1 ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the
+* vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of DIMENSION at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the
+* vector y. On exit, Y is overwritten by the updated vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, KPLUS1, KX, KY, L
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, MIN, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( K.LT.0 )THEN
+ INFO = 3
+ ELSE IF( LDA.LT.( K + 1 ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHBMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set up the start points in X and Y.
+*
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of the array A
+* are accessed sequentially with one pass through A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, N
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, N
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, N
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, N
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form y when upper triangle of A is stored.
+*
+ KPLUS1 = K + 1
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ L = KPLUS1 - J
+ DO 50, I = MAX( 1, J - K ), J - 1
+ Y( I ) = Y( I ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + DCONJG( A( L + I, J ) )*X( I )
+ 50 CONTINUE
+ Y( J ) = Y( J ) + TEMP1*DBLE( A( KPLUS1, J ) )
+ $ + ALPHA*TEMP2
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 80, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ IX = KX
+ IY = KY
+ L = KPLUS1 - J
+ DO 70, I = MAX( 1, J - K ), J - 1
+ Y( IY ) = Y( IY ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + DCONJG( A( L + I, J ) )*X( IX )
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ Y( JY ) = Y( JY ) + TEMP1*DBLE( A( KPLUS1, J ) )
+ $ + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ IF( J.GT.K )THEN
+ KX = KX + INCX
+ KY = KY + INCY
+ END IF
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y when lower triangle of A is stored.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 100, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ Y( J ) = Y( J ) + TEMP1*DBLE( A( 1, J ) )
+ L = 1 - J
+ DO 90, I = J + 1, MIN( N, J + K )
+ Y( I ) = Y( I ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + DCONJG( A( L + I, J ) )*X( I )
+ 90 CONTINUE
+ Y( J ) = Y( J ) + ALPHA*TEMP2
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 120, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ Y( JY ) = Y( JY ) + TEMP1*DBLE( A( 1, J ) )
+ L = 1 - J
+ IX = JX
+ IY = JY
+ DO 110, I = J + 1, MIN( N, J + K )
+ IX = IX + INCX
+ IY = IY + INCY
+ Y( IY ) = Y( IY ) + TEMP1*A( L + I, J )
+ TEMP2 = TEMP2 + DCONJG( A( L + I, J ) )*X( IX )
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHBMV .
+*
+ END
diff --git a/src/fortran/blas/zhemm.f b/src/fortran/blas/zhemm.f
new file mode 100644
index 0000000..d3912c0
--- /dev/null
+++ b/src/fortran/blas/zhemm.f
@@ -0,0 +1,304 @@
+ SUBROUTINE ZHEMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO
+ INTEGER M, N, LDA, LDB, LDC
+ COMPLEX*16 ALPHA, BETA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHEMM performs one of the matrix-matrix operations
+*
+* C := alpha*A*B + beta*C,
+*
+* or
+*
+* C := alpha*B*A + beta*C,
+*
+* where alpha and beta are scalars, A is an hermitian matrix and B and
+* C are m by n matrices.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether the hermitian matrix A
+* appears on the left or right in the operation as follows:
+*
+* SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
+*
+* SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the hermitian matrix A is to be
+* referenced as follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of the
+* hermitian matrix is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of the
+* hermitian matrix is to be referenced.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix C.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix C.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* m when SIDE = 'L' or 'l' and is n otherwise.
+* Before entry with SIDE = 'L' or 'l', the m by m part of
+* the array A must contain the hermitian matrix, such that
+* when UPLO = 'U' or 'u', the leading m by m upper triangular
+* part of the array A must contain the upper triangular part
+* of the hermitian matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading m by m lower triangular part of the array A
+* must contain the lower triangular part of the hermitian
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Before entry with SIDE = 'R' or 'r', the n by n part of
+* the array A must contain the hermitian matrix, such that
+* when UPLO = 'U' or 'u', the leading n by n upper triangular
+* part of the array A must contain the upper triangular part
+* of the hermitian matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading n by n lower triangular part of the array A
+* must contain the lower triangular part of the hermitian
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), otherwise LDA must be at
+* least max( 1, n ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then C need not be set on input.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry, the leading m by n part of the array C must
+* contain the matrix C, except when beta is zero, in which
+* case C need not be set on entry.
+* On exit, the array C is overwritten by the m by n updated
+* matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, DBLE
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, K, NROWA
+ COMPLEX*16 TEMP1, TEMP2
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Set NROWA as the number of rows of A.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( ( .NOT.LSAME( SIDE, 'L' ) ).AND.
+ $ ( .NOT.LSAME( SIDE, 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO, 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( M .LT.0 )THEN
+ INFO = 3
+ ELSE IF( N .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, M ) )THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHEMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+*
+* Form C := alpha*A*B + beta*C.
+*
+ IF( UPPER )THEN
+ DO 70, J = 1, N
+ DO 60, I = 1, M
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 50, K = 1, I - 1
+ C( K, J ) = C( K, J ) + TEMP1*A( K, I )
+ TEMP2 = TEMP2 +
+ $ B( K, J )*DCONJG( A( K, I ) )
+ 50 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*DBLE( A( I, I ) ) +
+ $ ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*DBLE( A( I, I ) ) +
+ $ ALPHA*TEMP2
+ END IF
+ 60 CONTINUE
+ 70 CONTINUE
+ ELSE
+ DO 100, J = 1, N
+ DO 90, I = M, 1, -1
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 80, K = I + 1, M
+ C( K, J ) = C( K, J ) + TEMP1*A( K, I )
+ TEMP2 = TEMP2 +
+ $ B( K, J )*DCONJG( A( K, I ) )
+ 80 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*DBLE( A( I, I ) ) +
+ $ ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*DBLE( A( I, I ) ) +
+ $ ALPHA*TEMP2
+ END IF
+ 90 CONTINUE
+ 100 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*B*A + beta*C.
+*
+ DO 170, J = 1, N
+ TEMP1 = ALPHA*DBLE( A( J, J ) )
+ IF( BETA.EQ.ZERO )THEN
+ DO 110, I = 1, M
+ C( I, J ) = TEMP1*B( I, J )
+ 110 CONTINUE
+ ELSE
+ DO 120, I = 1, M
+ C( I, J ) = BETA*C( I, J ) + TEMP1*B( I, J )
+ 120 CONTINUE
+ END IF
+ DO 140, K = 1, J - 1
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( K, J )
+ ELSE
+ TEMP1 = ALPHA*DCONJG( A( J, K ) )
+ END IF
+ DO 130, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 130 CONTINUE
+ 140 CONTINUE
+ DO 160, K = J + 1, N
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*DCONJG( A( J, K ) )
+ ELSE
+ TEMP1 = ALPHA*A( K, J )
+ END IF
+ DO 150, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 150 CONTINUE
+ 160 CONTINUE
+ 170 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of ZHEMM .
+*
+ END
diff --git a/src/fortran/blas/zhemv.f b/src/fortran/blas/zhemv.f
new file mode 100644
index 0000000..54aa7b9
--- /dev/null
+++ b/src/fortran/blas/zhemv.f
@@ -0,0 +1,266 @@
+ SUBROUTINE ZHEMV ( UPLO, N, ALPHA, A, LDA, X, INCX,
+ $ BETA, Y, INCY )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA, BETA
+ INTEGER INCX, INCY, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHEMV performs the matrix-vector operation
+*
+* y := alpha*A*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are n element vectors and
+* A is an n by n hermitian matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array A is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of A
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of A
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular part of the hermitian matrix and the strictly
+* lower triangular part of A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular part of the hermitian matrix and the strictly
+* upper triangular part of A is not referenced.
+* Note that the imaginary parts of the diagonal elements need
+* not be set and are assumed to be zero.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y. On exit, Y is overwritten by the updated
+* vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 5
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 10
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHEMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set up the start points in X and Y.
+*
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the triangular part
+* of A.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, N
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, N
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, N
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, N
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form y when A is stored in upper triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ DO 50, I = 1, J - 1
+ Y( I ) = Y( I ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + DCONJG( A( I, J ) )*X( I )
+ 50 CONTINUE
+ Y( J ) = Y( J ) + TEMP1*DBLE( A( J, J ) ) + ALPHA*TEMP2
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 80, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ IX = KX
+ IY = KY
+ DO 70, I = 1, J - 1
+ Y( IY ) = Y( IY ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + DCONJG( A( I, J ) )*X( IX )
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ Y( JY ) = Y( JY ) + TEMP1*DBLE( A( J, J ) ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y when A is stored in lower triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 100, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ Y( J ) = Y( J ) + TEMP1*DBLE( A( J, J ) )
+ DO 90, I = J + 1, N
+ Y( I ) = Y( I ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + DCONJG( A( I, J ) )*X( I )
+ 90 CONTINUE
+ Y( J ) = Y( J ) + ALPHA*TEMP2
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 120, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ Y( JY ) = Y( JY ) + TEMP1*DBLE( A( J, J ) )
+ IX = JX
+ IY = JY
+ DO 110, I = J + 1, N
+ IX = IX + INCX
+ IY = IY + INCY
+ Y( IY ) = Y( IY ) + TEMP1*A( I, J )
+ TEMP2 = TEMP2 + DCONJG( A( I, J ) )*X( IX )
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHEMV .
+*
+ END
diff --git a/src/fortran/blas/zher.f b/src/fortran/blas/zher.f
new file mode 100644
index 0000000..fcf40a5
--- /dev/null
+++ b/src/fortran/blas/zher.f
@@ -0,0 +1,212 @@
+ SUBROUTINE ZHER ( UPLO, N, ALPHA, X, INCX, A, LDA )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHER performs the hermitian rank 1 operation
+*
+* A := alpha*x*conjg( x' ) + A,
+*
+* where alpha is a real scalar, x is an n element vector and A is an
+* n by n hermitian matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array A is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of A
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of A
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular part of the hermitian matrix and the strictly
+* lower triangular part of A is not referenced. On exit, the
+* upper triangular part of the array A is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular part of the hermitian matrix and the strictly
+* upper triangular part of A is not referenced. On exit, the
+* lower triangular part of the array A is overwritten by the
+* lower triangular part of the updated matrix.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero, and on exit they
+* are set to zero.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, KX
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHER ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.DBLE( ZERO ) ) )
+ $ RETURN
+*
+* Set the start point in X if the increment is not unity.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the triangular part
+* of A.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when A is stored in upper triangle.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( J ) )
+ DO 10, I = 1, J - 1
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 10 CONTINUE
+ A( J, J ) = DBLE( A( J, J ) ) + DBLE( X( J )*TEMP )
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( JX ) )
+ IX = KX
+ DO 30, I = 1, J - 1
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ A( J, J ) = DBLE( A( J, J ) ) + DBLE( X( JX )*TEMP )
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ JX = JX + INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when A is stored in lower triangle.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( J ) )
+ A( J, J ) = DBLE( A( J, J ) ) + DBLE( TEMP*X( J ) )
+ DO 50, I = J + 1, N
+ A( I, J ) = A( I, J ) + X( I )*TEMP
+ 50 CONTINUE
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( JX ) )
+ A( J, J ) = DBLE( A( J, J ) ) + DBLE( TEMP*X( JX ) )
+ IX = JX
+ DO 70, I = J + 1, N
+ IX = IX + INCX
+ A( I, J ) = A( I, J ) + X( IX )*TEMP
+ 70 CONTINUE
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHER .
+*
+ END
diff --git a/src/fortran/blas/zher2.f b/src/fortran/blas/zher2.f
new file mode 100644
index 0000000..06acdff
--- /dev/null
+++ b/src/fortran/blas/zher2.f
@@ -0,0 +1,249 @@
+ SUBROUTINE ZHER2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA
+ INTEGER INCX, INCY, LDA, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHER2 performs the hermitian rank 2 operation
+*
+* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
+*
+* where alpha is a scalar, x and y are n element vectors and A is an n
+* by n hermitian matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array A is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of A
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of A
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular part of the hermitian matrix and the strictly
+* lower triangular part of A is not referenced. On exit, the
+* upper triangular part of the array A is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular part of the hermitian matrix and the strictly
+* upper triangular part of A is not referenced. On exit, the
+* lower triangular part of the array A is overwritten by the
+* lower triangular part of the updated matrix.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero, and on exit they
+* are set to zero.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHER2 ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Set up the start points in X and Y if the increments are not both
+* unity.
+*
+ IF( ( INCX.NE.1 ).OR.( INCY.NE.1 ) )THEN
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+ JX = KX
+ JY = KY
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through the triangular part
+* of A.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when A is stored in the upper triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 20, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( J ) )
+ TEMP2 = DCONJG( ALPHA*X( J ) )
+ DO 10, I = 1, J - 1
+ A( I, J ) = A( I, J ) + X( I )*TEMP1 + Y( I )*TEMP2
+ 10 CONTINUE
+ A( J, J ) = DBLE( A( J, J ) ) +
+ $ DBLE( X( J )*TEMP1 + Y( J )*TEMP2 )
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( JY ) )
+ TEMP2 = DCONJG( ALPHA*X( JX ) )
+ IX = KX
+ IY = KY
+ DO 30, I = 1, J - 1
+ A( I, J ) = A( I, J ) + X( IX )*TEMP1
+ $ + Y( IY )*TEMP2
+ IX = IX + INCX
+ IY = IY + INCY
+ 30 CONTINUE
+ A( J, J ) = DBLE( A( J, J ) ) +
+ $ DBLE( X( JX )*TEMP1 + Y( JY )*TEMP2 )
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when A is stored in the lower triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( J ) )
+ TEMP2 = DCONJG( ALPHA*X( J ) )
+ A( J, J ) = DBLE( A( J, J ) ) +
+ $ DBLE( X( J )*TEMP1 + Y( J )*TEMP2 )
+ DO 50, I = J + 1, N
+ A( I, J ) = A( I, J ) + X( I )*TEMP1 + Y( I )*TEMP2
+ 50 CONTINUE
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( JY ) )
+ TEMP2 = DCONJG( ALPHA*X( JX ) )
+ A( J, J ) = DBLE( A( J, J ) ) +
+ $ DBLE( X( JX )*TEMP1 + Y( JY )*TEMP2 )
+ IX = JX
+ IY = JY
+ DO 70, I = J + 1, N
+ IX = IX + INCX
+ IY = IY + INCY
+ A( I, J ) = A( I, J ) + X( IX )*TEMP1
+ $ + Y( IY )*TEMP2
+ 70 CONTINUE
+ ELSE
+ A( J, J ) = DBLE( A( J, J ) )
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHER2 .
+*
+ END
diff --git a/src/fortran/blas/zher2k.f b/src/fortran/blas/zher2k.f
new file mode 100644
index 0000000..408d75c
--- /dev/null
+++ b/src/fortran/blas/zher2k.f
@@ -0,0 +1,372 @@
+ SUBROUTINE ZHER2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA,
+ $ C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER TRANS, UPLO
+ INTEGER K, LDA, LDB, LDC, N
+ DOUBLE PRECISION BETA
+ COMPLEX*16 ALPHA
+* ..
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHER2K performs one of the hermitian rank 2k operations
+*
+* C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) + beta*C,
+*
+* or
+*
+* C := alpha*conjg( A' )*B + conjg( alpha )*conjg( B' )*A + beta*C,
+*
+* where alpha and beta are scalars with beta real, C is an n by n
+* hermitian matrix and A and B are n by k matrices in the first case
+* and k by n matrices in the second case.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array C is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of C
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of C
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' C := alpha*A*conjg( B' ) +
+* conjg( alpha )*B*conjg( A' ) +
+* beta*C.
+*
+* TRANS = 'C' or 'c' C := alpha*conjg( A' )*B +
+* conjg( alpha )*conjg( B' )*A +
+* beta*C.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with TRANS = 'N' or 'n', K specifies the number
+* of columns of the matrices A and B, and on entry with
+* TRANS = 'C' or 'c', K specifies the number of rows of the
+* matrices A and B. K must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by n part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDA must be at least max( 1, n ), otherwise LDA must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array B must contain the matrix B, otherwise
+* the leading k by n part of the array B must contain the
+* matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDB must be at least max( 1, n ), otherwise LDB must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION .
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array C must contain the upper
+* triangular part of the hermitian matrix and the strictly
+* lower triangular part of C is not referenced. On exit, the
+* upper triangular part of the array C is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array C must contain the lower
+* triangular part of the hermitian matrix and the strictly
+* upper triangular part of C is not referenced. On exit, the
+* lower triangular part of the array C is overwritten by the
+* lower triangular part of the updated matrix.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero, and on exit they
+* are set to zero.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+* -- Modified 8-Nov-93 to set C(J,J) to DBLE( C(J,J) ) when BETA = 1.
+* Ed Anderson, Cray Research Inc.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* ..
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC DBLE, DCONJG, MAX
+* ..
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, L, NROWA
+ COMPLEX*16 TEMP1, TEMP2
+* ..
+* .. Parameters ..
+ DOUBLE PRECISION ONE
+ PARAMETER ( ONE = 1.0D+0 )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ IF( LSAME( TRANS, 'N' ) ) THEN
+ NROWA = N
+ ELSE
+ NROWA = K
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.UPPER ) .AND. ( .NOT.LSAME( UPLO, 'L' ) ) ) THEN
+ INFO = 1
+ ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ) .AND.
+ $ ( .NOT.LSAME( TRANS, 'C' ) ) ) THEN
+ INFO = 2
+ ELSE IF( N.LT.0 ) THEN
+ INFO = 3
+ ELSE IF( K.LT.0 ) THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) ) THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, NROWA ) ) THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, N ) ) THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 ) THEN
+ CALL XERBLA( 'ZHER2K', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ) .OR. ( ( ( ALPHA.EQ.ZERO ) .OR. ( K.EQ.0 ) ) .AND.
+ $ ( BETA.EQ.ONE ) ) )RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO ) THEN
+ IF( UPPER ) THEN
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ DO 20 J = 1, N
+ DO 10 I = 1, J
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40 J = 1, N
+ DO 30 I = 1, J - 1
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ DO 60 J = 1, N
+ DO 50 I = J, N
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 80 J = 1, N
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ DO 70 I = J + 1, N
+ C( I, J ) = BETA*C( I, J )
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( TRANS, 'N' ) ) THEN
+*
+* Form C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) +
+* C.
+*
+ IF( UPPER ) THEN
+ DO 130 J = 1, N
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ DO 90 I = 1, J
+ C( I, J ) = ZERO
+ 90 CONTINUE
+ ELSE IF( BETA.NE.ONE ) THEN
+ DO 100 I = 1, J - 1
+ C( I, J ) = BETA*C( I, J )
+ 100 CONTINUE
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ ELSE
+ C( J, J ) = DBLE( C( J, J ) )
+ END IF
+ DO 120 L = 1, K
+ IF( ( A( J, L ).NE.ZERO ) .OR. ( B( J, L ).NE.ZERO ) )
+ $ THEN
+ TEMP1 = ALPHA*DCONJG( B( J, L ) )
+ TEMP2 = DCONJG( ALPHA*A( J, L ) )
+ DO 110 I = 1, J - 1
+ C( I, J ) = C( I, J ) + A( I, L )*TEMP1 +
+ $ B( I, L )*TEMP2
+ 110 CONTINUE
+ C( J, J ) = DBLE( C( J, J ) ) +
+ $ DBLE( A( J, L )*TEMP1+B( J, L )*TEMP2 )
+ END IF
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 180 J = 1, N
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ DO 140 I = J, N
+ C( I, J ) = ZERO
+ 140 CONTINUE
+ ELSE IF( BETA.NE.ONE ) THEN
+ DO 150 I = J + 1, N
+ C( I, J ) = BETA*C( I, J )
+ 150 CONTINUE
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ ELSE
+ C( J, J ) = DBLE( C( J, J ) )
+ END IF
+ DO 170 L = 1, K
+ IF( ( A( J, L ).NE.ZERO ) .OR. ( B( J, L ).NE.ZERO ) )
+ $ THEN
+ TEMP1 = ALPHA*DCONJG( B( J, L ) )
+ TEMP2 = DCONJG( ALPHA*A( J, L ) )
+ DO 160 I = J + 1, N
+ C( I, J ) = C( I, J ) + A( I, L )*TEMP1 +
+ $ B( I, L )*TEMP2
+ 160 CONTINUE
+ C( J, J ) = DBLE( C( J, J ) ) +
+ $ DBLE( A( J, L )*TEMP1+B( J, L )*TEMP2 )
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*conjg( A' )*B + conjg( alpha )*conjg( B' )*A +
+* C.
+*
+ IF( UPPER ) THEN
+ DO 210 J = 1, N
+ DO 200 I = 1, J
+ TEMP1 = ZERO
+ TEMP2 = ZERO
+ DO 190 L = 1, K
+ TEMP1 = TEMP1 + DCONJG( A( L, I ) )*B( L, J )
+ TEMP2 = TEMP2 + DCONJG( B( L, I ) )*A( L, J )
+ 190 CONTINUE
+ IF( I.EQ.J ) THEN
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ C( J, J ) = DBLE( ALPHA*TEMP1+DCONJG( ALPHA )*
+ $ TEMP2 )
+ ELSE
+ C( J, J ) = BETA*DBLE( C( J, J ) ) +
+ $ DBLE( ALPHA*TEMP1+DCONJG( ALPHA )*
+ $ TEMP2 )
+ END IF
+ ELSE
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ C( I, J ) = ALPHA*TEMP1 + DCONJG( ALPHA )*TEMP2
+ ELSE
+ C( I, J ) = BETA*C( I, J ) + ALPHA*TEMP1 +
+ $ DCONJG( ALPHA )*TEMP2
+ END IF
+ END IF
+ 200 CONTINUE
+ 210 CONTINUE
+ ELSE
+ DO 240 J = 1, N
+ DO 230 I = J, N
+ TEMP1 = ZERO
+ TEMP2 = ZERO
+ DO 220 L = 1, K
+ TEMP1 = TEMP1 + DCONJG( A( L, I ) )*B( L, J )
+ TEMP2 = TEMP2 + DCONJG( B( L, I ) )*A( L, J )
+ 220 CONTINUE
+ IF( I.EQ.J ) THEN
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ C( J, J ) = DBLE( ALPHA*TEMP1+DCONJG( ALPHA )*
+ $ TEMP2 )
+ ELSE
+ C( J, J ) = BETA*DBLE( C( J, J ) ) +
+ $ DBLE( ALPHA*TEMP1+DCONJG( ALPHA )*
+ $ TEMP2 )
+ END IF
+ ELSE
+ IF( BETA.EQ.DBLE( ZERO ) ) THEN
+ C( I, J ) = ALPHA*TEMP1 + DCONJG( ALPHA )*TEMP2
+ ELSE
+ C( I, J ) = BETA*C( I, J ) + ALPHA*TEMP1 +
+ $ DCONJG( ALPHA )*TEMP2
+ END IF
+ END IF
+ 230 CONTINUE
+ 240 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHER2K.
+*
+ END
diff --git a/src/fortran/blas/zherk.f b/src/fortran/blas/zherk.f
new file mode 100644
index 0000000..cfbf718
--- /dev/null
+++ b/src/fortran/blas/zherk.f
@@ -0,0 +1,330 @@
+ SUBROUTINE ZHERK( UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER TRANS, UPLO
+ INTEGER K, LDA, LDC, N
+ DOUBLE PRECISION ALPHA, BETA
+* ..
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHERK performs one of the hermitian rank k operations
+*
+* C := alpha*A*conjg( A' ) + beta*C,
+*
+* or
+*
+* C := alpha*conjg( A' )*A + beta*C,
+*
+* where alpha and beta are real scalars, C is an n by n hermitian
+* matrix and A is an n by k matrix in the first case and a k by n
+* matrix in the second case.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array C is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of C
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of C
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' C := alpha*A*conjg( A' ) + beta*C.
+*
+* TRANS = 'C' or 'c' C := alpha*conjg( A' )*A + beta*C.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with TRANS = 'N' or 'n', K specifies the number
+* of columns of the matrix A, and on entry with
+* TRANS = 'C' or 'c', K specifies the number of rows of the
+* matrix A. K must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by n part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDA must be at least max( 1, n ), otherwise LDA must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* BETA - DOUBLE PRECISION.
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array C must contain the upper
+* triangular part of the hermitian matrix and the strictly
+* lower triangular part of C is not referenced. On exit, the
+* upper triangular part of the array C is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array C must contain the lower
+* triangular part of the hermitian matrix and the strictly
+* upper triangular part of C is not referenced. On exit, the
+* lower triangular part of the array C is overwritten by the
+* lower triangular part of the updated matrix.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero, and on exit they
+* are set to zero.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+* -- Modified 8-Nov-93 to set C(J,J) to DBLE( C(J,J) ) when BETA = 1.
+* Ed Anderson, Cray Research Inc.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* ..
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC DBLE, DCMPLX, DCONJG, MAX
+* ..
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, L, NROWA
+ DOUBLE PRECISION RTEMP
+ COMPLEX*16 TEMP
+* ..
+* .. Parameters ..
+ DOUBLE PRECISION ONE, ZERO
+ PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ IF( LSAME( TRANS, 'N' ) ) THEN
+ NROWA = N
+ ELSE
+ NROWA = K
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.UPPER ) .AND. ( .NOT.LSAME( UPLO, 'L' ) ) ) THEN
+ INFO = 1
+ ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ) .AND.
+ $ ( .NOT.LSAME( TRANS, 'C' ) ) ) THEN
+ INFO = 2
+ ELSE IF( N.LT.0 ) THEN
+ INFO = 3
+ ELSE IF( K.LT.0 ) THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) ) THEN
+ INFO = 7
+ ELSE IF( LDC.LT.MAX( 1, N ) ) THEN
+ INFO = 10
+ END IF
+ IF( INFO.NE.0 ) THEN
+ CALL XERBLA( 'ZHERK ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ) .OR. ( ( ( ALPHA.EQ.ZERO ) .OR. ( K.EQ.0 ) ) .AND.
+ $ ( BETA.EQ.ONE ) ) )RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO ) THEN
+ IF( UPPER ) THEN
+ IF( BETA.EQ.ZERO ) THEN
+ DO 20 J = 1, N
+ DO 10 I = 1, J
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40 J = 1, N
+ DO 30 I = 1, J - 1
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( BETA.EQ.ZERO ) THEN
+ DO 60 J = 1, N
+ DO 50 I = J, N
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 80 J = 1, N
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ DO 70 I = J + 1, N
+ C( I, J ) = BETA*C( I, J )
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( TRANS, 'N' ) ) THEN
+*
+* Form C := alpha*A*conjg( A' ) + beta*C.
+*
+ IF( UPPER ) THEN
+ DO 130 J = 1, N
+ IF( BETA.EQ.ZERO ) THEN
+ DO 90 I = 1, J
+ C( I, J ) = ZERO
+ 90 CONTINUE
+ ELSE IF( BETA.NE.ONE ) THEN
+ DO 100 I = 1, J - 1
+ C( I, J ) = BETA*C( I, J )
+ 100 CONTINUE
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ ELSE
+ C( J, J ) = DBLE( C( J, J ) )
+ END IF
+ DO 120 L = 1, K
+ IF( A( J, L ).NE.DCMPLX( ZERO ) ) THEN
+ TEMP = ALPHA*DCONJG( A( J, L ) )
+ DO 110 I = 1, J - 1
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 110 CONTINUE
+ C( J, J ) = DBLE( C( J, J ) ) +
+ $ DBLE( TEMP*A( I, L ) )
+ END IF
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 180 J = 1, N
+ IF( BETA.EQ.ZERO ) THEN
+ DO 140 I = J, N
+ C( I, J ) = ZERO
+ 140 CONTINUE
+ ELSE IF( BETA.NE.ONE ) THEN
+ C( J, J ) = BETA*DBLE( C( J, J ) )
+ DO 150 I = J + 1, N
+ C( I, J ) = BETA*C( I, J )
+ 150 CONTINUE
+ ELSE
+ C( J, J ) = DBLE( C( J, J ) )
+ END IF
+ DO 170 L = 1, K
+ IF( A( J, L ).NE.DCMPLX( ZERO ) ) THEN
+ TEMP = ALPHA*DCONJG( A( J, L ) )
+ C( J, J ) = DBLE( C( J, J ) ) +
+ $ DBLE( TEMP*A( J, L ) )
+ DO 160 I = J + 1, N
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 160 CONTINUE
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*conjg( A' )*A + beta*C.
+*
+ IF( UPPER ) THEN
+ DO 220 J = 1, N
+ DO 200 I = 1, J - 1
+ TEMP = ZERO
+ DO 190 L = 1, K
+ TEMP = TEMP + DCONJG( A( L, I ) )*A( L, J )
+ 190 CONTINUE
+ IF( BETA.EQ.ZERO ) THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 200 CONTINUE
+ RTEMP = ZERO
+ DO 210 L = 1, K
+ RTEMP = RTEMP + DCONJG( A( L, J ) )*A( L, J )
+ 210 CONTINUE
+ IF( BETA.EQ.ZERO ) THEN
+ C( J, J ) = ALPHA*RTEMP
+ ELSE
+ C( J, J ) = ALPHA*RTEMP + BETA*DBLE( C( J, J ) )
+ END IF
+ 220 CONTINUE
+ ELSE
+ DO 260 J = 1, N
+ RTEMP = ZERO
+ DO 230 L = 1, K
+ RTEMP = RTEMP + DCONJG( A( L, J ) )*A( L, J )
+ 230 CONTINUE
+ IF( BETA.EQ.ZERO ) THEN
+ C( J, J ) = ALPHA*RTEMP
+ ELSE
+ C( J, J ) = ALPHA*RTEMP + BETA*DBLE( C( J, J ) )
+ END IF
+ DO 250 I = J + 1, N
+ TEMP = ZERO
+ DO 240 L = 1, K
+ TEMP = TEMP + DCONJG( A( L, I ) )*A( L, J )
+ 240 CONTINUE
+ IF( BETA.EQ.ZERO ) THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 250 CONTINUE
+ 260 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHERK .
+*
+ END
diff --git a/src/fortran/blas/zhpmv.f b/src/fortran/blas/zhpmv.f
new file mode 100644
index 0000000..9cde923
--- /dev/null
+++ b/src/fortran/blas/zhpmv.f
@@ -0,0 +1,270 @@
+ SUBROUTINE ZHPMV ( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA, BETA
+ INTEGER INCX, INCY, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 AP( * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHPMV performs the matrix-vector operation
+*
+* y := alpha*A*x + beta*y,
+*
+* where alpha and beta are scalars, x and y are n element vectors and
+* A is an n by n hermitian matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the matrix A is supplied in the packed
+* array AP as follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* supplied in AP.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* supplied in AP.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* AP - COMPLEX*16 array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular part of the hermitian matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+* and a( 2, 2 ) respectively, and so on.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular part of the hermitian matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+* and a( 3, 1 ) respectively, and so on.
+* Note that the imaginary parts of the diagonal elements need
+* not be set and are assumed to be zero.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then Y need not be set on input.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y. On exit, Y is overwritten by the updated
+* vector y.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, K, KK, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 6
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHPMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* Set up the start points in X and Y.
+*
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+*
+* Start the operations. In this version the elements of the array AP
+* are accessed sequentially with one pass through AP.
+*
+* First form y := beta*y.
+*
+ IF( BETA.NE.ONE )THEN
+ IF( INCY.EQ.1 )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 10, I = 1, N
+ Y( I ) = ZERO
+ 10 CONTINUE
+ ELSE
+ DO 20, I = 1, N
+ Y( I ) = BETA*Y( I )
+ 20 CONTINUE
+ END IF
+ ELSE
+ IY = KY
+ IF( BETA.EQ.ZERO )THEN
+ DO 30, I = 1, N
+ Y( IY ) = ZERO
+ IY = IY + INCY
+ 30 CONTINUE
+ ELSE
+ DO 40, I = 1, N
+ Y( IY ) = BETA*Y( IY )
+ IY = IY + INCY
+ 40 CONTINUE
+ END IF
+ END IF
+ END IF
+ IF( ALPHA.EQ.ZERO )
+ $ RETURN
+ KK = 1
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form y when AP contains the upper triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ K = KK
+ DO 50, I = 1, J - 1
+ Y( I ) = Y( I ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + DCONJG( AP( K ) )*X( I )
+ K = K + 1
+ 50 CONTINUE
+ Y( J ) = Y( J ) + TEMP1*DBLE( AP( KK + J - 1 ) )
+ $ + ALPHA*TEMP2
+ KK = KK + J
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 80, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ IX = KX
+ IY = KY
+ DO 70, K = KK, KK + J - 2
+ Y( IY ) = Y( IY ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + DCONJG( AP( K ) )*X( IX )
+ IX = IX + INCX
+ IY = IY + INCY
+ 70 CONTINUE
+ Y( JY ) = Y( JY ) + TEMP1*DBLE( AP( KK + J - 1 ) )
+ $ + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + J
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form y when AP contains the lower triangle.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 100, J = 1, N
+ TEMP1 = ALPHA*X( J )
+ TEMP2 = ZERO
+ Y( J ) = Y( J ) + TEMP1*DBLE( AP( KK ) )
+ K = KK + 1
+ DO 90, I = J + 1, N
+ Y( I ) = Y( I ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + DCONJG( AP( K ) )*X( I )
+ K = K + 1
+ 90 CONTINUE
+ Y( J ) = Y( J ) + ALPHA*TEMP2
+ KK = KK + ( N - J + 1 )
+ 100 CONTINUE
+ ELSE
+ JX = KX
+ JY = KY
+ DO 120, J = 1, N
+ TEMP1 = ALPHA*X( JX )
+ TEMP2 = ZERO
+ Y( JY ) = Y( JY ) + TEMP1*DBLE( AP( KK ) )
+ IX = JX
+ IY = JY
+ DO 110, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ IY = IY + INCY
+ Y( IY ) = Y( IY ) + TEMP1*AP( K )
+ TEMP2 = TEMP2 + DCONJG( AP( K ) )*X( IX )
+ 110 CONTINUE
+ Y( JY ) = Y( JY ) + ALPHA*TEMP2
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + ( N - J + 1 )
+ 120 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHPMV .
+*
+ END
diff --git a/src/fortran/blas/zhpr.f b/src/fortran/blas/zhpr.f
new file mode 100644
index 0000000..2e368de
--- /dev/null
+++ b/src/fortran/blas/zhpr.f
@@ -0,0 +1,217 @@
+ SUBROUTINE ZHPR ( UPLO, N, ALPHA, X, INCX, AP )
+* .. Scalar Arguments ..
+ DOUBLE PRECISION ALPHA
+ INTEGER INCX, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 AP( * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHPR performs the hermitian rank 1 operation
+*
+* A := alpha*x*conjg( x' ) + A,
+*
+* where alpha is a real scalar, x is an n element vector and A is an
+* n by n hermitian matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the matrix A is supplied in the packed
+* array AP as follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* supplied in AP.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* supplied in AP.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - DOUBLE PRECISION.
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* AP - COMPLEX*16 array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular part of the hermitian matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+* and a( 2, 2 ) respectively, and so on. On exit, the array
+* AP is overwritten by the upper triangular part of the
+* updated matrix.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular part of the hermitian matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+* and a( 3, 1 ) respectively, and so on. On exit, the array
+* AP is overwritten by the lower triangular part of the
+* updated matrix.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero, and on exit they
+* are set to zero.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, K, KK, KX
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHPR ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.DBLE( ZERO ) ) )
+ $ RETURN
+*
+* Set the start point in X if the increment is not unity.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of the array AP
+* are accessed sequentially with one pass through AP.
+*
+ KK = 1
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when upper triangle is stored in AP.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( J ) )
+ K = KK
+ DO 10, I = 1, J - 1
+ AP( K ) = AP( K ) + X( I )*TEMP
+ K = K + 1
+ 10 CONTINUE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
+ $ + DBLE( X( J )*TEMP )
+ ELSE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
+ END IF
+ KK = KK + J
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( JX ) )
+ IX = KX
+ DO 30, K = KK, KK + J - 2
+ AP( K ) = AP( K ) + X( IX )*TEMP
+ IX = IX + INCX
+ 30 CONTINUE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
+ $ + DBLE( X( JX )*TEMP )
+ ELSE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
+ END IF
+ JX = JX + INCX
+ KK = KK + J
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when lower triangle is stored in AP.
+*
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( J ) )
+ AP( KK ) = DBLE( AP( KK ) ) + DBLE( TEMP*X( J ) )
+ K = KK + 1
+ DO 50, I = J + 1, N
+ AP( K ) = AP( K ) + X( I )*TEMP
+ K = K + 1
+ 50 CONTINUE
+ ELSE
+ AP( KK ) = DBLE( AP( KK ) )
+ END IF
+ KK = KK + N - J + 1
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = ALPHA*DCONJG( X( JX ) )
+ AP( KK ) = DBLE( AP( KK ) ) + DBLE( TEMP*X( JX ) )
+ IX = JX
+ DO 70, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ AP( K ) = AP( K ) + X( IX )*TEMP
+ 70 CONTINUE
+ ELSE
+ AP( KK ) = DBLE( AP( KK ) )
+ END IF
+ JX = JX + INCX
+ KK = KK + N - J + 1
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHPR .
+*
+ END
diff --git a/src/fortran/blas/zhpr2.f b/src/fortran/blas/zhpr2.f
new file mode 100644
index 0000000..e10774b
--- /dev/null
+++ b/src/fortran/blas/zhpr2.f
@@ -0,0 +1,251 @@
+ SUBROUTINE ZHPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP )
+* .. Scalar Arguments ..
+ COMPLEX*16 ALPHA
+ INTEGER INCX, INCY, N
+ CHARACTER*1 UPLO
+* .. Array Arguments ..
+ COMPLEX*16 AP( * ), X( * ), Y( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZHPR2 performs the hermitian rank 2 operation
+*
+* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A,
+*
+* where alpha is a scalar, x and y are n element vectors and A is an
+* n by n hermitian matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the matrix A is supplied in the packed
+* array AP as follows:
+*
+* UPLO = 'U' or 'u' The upper triangular part of A is
+* supplied in AP.
+*
+* UPLO = 'L' or 'l' The lower triangular part of A is
+* supplied in AP.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x.
+* Unchanged on exit.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+* Y - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCY ) ).
+* Before entry, the incremented array Y must contain the n
+* element vector y.
+* Unchanged on exit.
+*
+* INCY - INTEGER.
+* On entry, INCY specifies the increment for the elements of
+* Y. INCY must not be zero.
+* Unchanged on exit.
+*
+* AP - COMPLEX*16 array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular part of the hermitian matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
+* and a( 2, 2 ) respectively, and so on. On exit, the array
+* AP is overwritten by the upper triangular part of the
+* updated matrix.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular part of the hermitian matrix
+* packed sequentially, column by column, so that AP( 1 )
+* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
+* and a( 3, 1 ) respectively, and so on. On exit, the array
+* AP is overwritten by the lower triangular part of the
+* updated matrix.
+* Note that the imaginary parts of the diagonal elements need
+* not be set, they are assumed to be zero, and on exit they
+* are set to zero.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP1, TEMP2
+ INTEGER I, INFO, IX, IY, J, JX, JY, K, KK, KX, KY
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, DBLE
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO, 'U' ).AND.
+ $ .NOT.LSAME( UPLO, 'L' ) )THEN
+ INFO = 1
+ ELSE IF( N.LT.0 )THEN
+ INFO = 2
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 5
+ ELSE IF( INCY.EQ.0 )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZHPR2 ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.( ALPHA.EQ.ZERO ) )
+ $ RETURN
+*
+* Set up the start points in X and Y if the increments are not both
+* unity.
+*
+ IF( ( INCX.NE.1 ).OR.( INCY.NE.1 ) )THEN
+ IF( INCX.GT.0 )THEN
+ KX = 1
+ ELSE
+ KX = 1 - ( N - 1 )*INCX
+ END IF
+ IF( INCY.GT.0 )THEN
+ KY = 1
+ ELSE
+ KY = 1 - ( N - 1 )*INCY
+ END IF
+ JX = KX
+ JY = KY
+ END IF
+*
+* Start the operations. In this version the elements of the array AP
+* are accessed sequentially with one pass through AP.
+*
+ KK = 1
+ IF( LSAME( UPLO, 'U' ) )THEN
+*
+* Form A when upper triangle is stored in AP.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 20, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( J ) )
+ TEMP2 = DCONJG( ALPHA*X( J ) )
+ K = KK
+ DO 10, I = 1, J - 1
+ AP( K ) = AP( K ) + X( I )*TEMP1 + Y( I )*TEMP2
+ K = K + 1
+ 10 CONTINUE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) ) +
+ $ DBLE( X( J )*TEMP1 + Y( J )*TEMP2 )
+ ELSE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
+ END IF
+ KK = KK + J
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( JY ) )
+ TEMP2 = DCONJG( ALPHA*X( JX ) )
+ IX = KX
+ IY = KY
+ DO 30, K = KK, KK + J - 2
+ AP( K ) = AP( K ) + X( IX )*TEMP1 + Y( IY )*TEMP2
+ IX = IX + INCX
+ IY = IY + INCY
+ 30 CONTINUE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) ) +
+ $ DBLE( X( JX )*TEMP1 +
+ $ Y( JY )*TEMP2 )
+ ELSE
+ AP( KK + J - 1 ) = DBLE( AP( KK + J - 1 ) )
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + J
+ 40 CONTINUE
+ END IF
+ ELSE
+*
+* Form A when lower triangle is stored in AP.
+*
+ IF( ( INCX.EQ.1 ).AND.( INCY.EQ.1 ) )THEN
+ DO 60, J = 1, N
+ IF( ( X( J ).NE.ZERO ).OR.( Y( J ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( J ) )
+ TEMP2 = DCONJG( ALPHA*X( J ) )
+ AP( KK ) = DBLE( AP( KK ) ) +
+ $ DBLE( X( J )*TEMP1 + Y( J )*TEMP2 )
+ K = KK + 1
+ DO 50, I = J + 1, N
+ AP( K ) = AP( K ) + X( I )*TEMP1 + Y( I )*TEMP2
+ K = K + 1
+ 50 CONTINUE
+ ELSE
+ AP( KK ) = DBLE( AP( KK ) )
+ END IF
+ KK = KK + N - J + 1
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ IF( ( X( JX ).NE.ZERO ).OR.( Y( JY ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*DCONJG( Y( JY ) )
+ TEMP2 = DCONJG( ALPHA*X( JX ) )
+ AP( KK ) = DBLE( AP( KK ) ) +
+ $ DBLE( X( JX )*TEMP1 + Y( JY )*TEMP2 )
+ IX = JX
+ IY = JY
+ DO 70, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ IY = IY + INCY
+ AP( K ) = AP( K ) + X( IX )*TEMP1 + Y( IY )*TEMP2
+ 70 CONTINUE
+ ELSE
+ AP( KK ) = DBLE( AP( KK ) )
+ END IF
+ JX = JX + INCX
+ JY = JY + INCY
+ KK = KK + N - J + 1
+ 80 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZHPR2 .
+*
+ END
diff --git a/src/fortran/blas/zrotg.f b/src/fortran/blas/zrotg.f
new file mode 100644
index 0000000..f6a4aa1
--- /dev/null
+++ b/src/fortran/blas/zrotg.f
@@ -0,0 +1,21 @@
+ subroutine zrotg(ca,cb,c,s)
+ double complex ca,cb,s
+ double precision c
+ double precision norm,scale
+ double complex alpha
+ if (cdabs(ca) .ne. 0.0d0) go to 10
+ c = 0.0d0
+ s = (1.0d0,0.0d0)
+ ca = cb
+ go to 20
+ 10 continue
+ scale = cdabs(ca) + cdabs(cb)
+ norm = scale*dsqrt((cdabs(ca/dcmplx(scale,0.0d0)))**2 +
+ * (cdabs(cb/dcmplx(scale,0.0d0)))**2)
+ alpha = ca /cdabs(ca)
+ c = cdabs(ca) / norm
+ s = alpha * dconjg(cb) / norm
+ ca = alpha * norm
+ 20 continue
+ return
+ end
diff --git a/src/fortran/blas/zscal.f b/src/fortran/blas/zscal.f
new file mode 100644
index 0000000..6fa8576
--- /dev/null
+++ b/src/fortran/blas/zscal.f
@@ -0,0 +1,29 @@
+ subroutine zscal(n,za,zx,incx)
+c
+c scales a vector by a constant.
+c jack dongarra, 3/11/78.
+c modified 3/93 to return if incx .le. 0.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex za,zx(*)
+ integer i,incx,ix,n
+c
+ if( n.le.0 .or. incx.le.0 )return
+ if(incx.eq.1)go to 20
+c
+c code for increment not equal to 1
+c
+ ix = 1
+ do 10 i = 1,n
+ zx(ix) = za*zx(ix)
+ ix = ix + incx
+ 10 continue
+ return
+c
+c code for increment equal to 1
+c
+ 20 do 30 i = 1,n
+ zx(i) = za*zx(i)
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/zswap.f b/src/fortran/blas/zswap.f
new file mode 100644
index 0000000..f28a4e4
--- /dev/null
+++ b/src/fortran/blas/zswap.f
@@ -0,0 +1,36 @@
+ subroutine zswap (n,zx,incx,zy,incy)
+c
+c interchanges two vectors.
+c jack dongarra, 3/11/78.
+c modified 12/3/93, array(1) declarations changed to array(*)
+c
+ double complex zx(*),zy(*),ztemp
+ integer i,incx,incy,ix,iy,n
+c
+ if(n.le.0)return
+ if(incx.eq.1.and.incy.eq.1)go to 20
+c
+c code for unequal increments or equal increments not equal
+c to 1
+c
+ ix = 1
+ iy = 1
+ if(incx.lt.0)ix = (-n+1)*incx + 1
+ if(incy.lt.0)iy = (-n+1)*incy + 1
+ do 10 i = 1,n
+ ztemp = zx(ix)
+ zx(ix) = zy(iy)
+ zy(iy) = ztemp
+ ix = ix + incx
+ iy = iy + incy
+ 10 continue
+ return
+c
+c code for both increments equal to 1
+ 20 do 30 i = 1,n
+ ztemp = zx(i)
+ zx(i) = zy(i)
+ zy(i) = ztemp
+ 30 continue
+ return
+ end
diff --git a/src/fortran/blas/zsymm.f b/src/fortran/blas/zsymm.f
new file mode 100644
index 0000000..20b7c08
--- /dev/null
+++ b/src/fortran/blas/zsymm.f
@@ -0,0 +1,296 @@
+ SUBROUTINE ZSYMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO
+ INTEGER M, N, LDA, LDB, LDC
+ COMPLEX*16 ALPHA, BETA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZSYMM performs one of the matrix-matrix operations
+*
+* C := alpha*A*B + beta*C,
+*
+* or
+*
+* C := alpha*B*A + beta*C,
+*
+* where alpha and beta are scalars, A is a symmetric matrix and B and
+* C are m by n matrices.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether the symmetric matrix A
+* appears on the left or right in the operation as follows:
+*
+* SIDE = 'L' or 'l' C := alpha*A*B + beta*C,
+*
+* SIDE = 'R' or 'r' C := alpha*B*A + beta*C,
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the symmetric matrix A is to be
+* referenced as follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of the
+* symmetric matrix is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of the
+* symmetric matrix is to be referenced.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of the matrix C.
+* M must be at least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of the matrix C.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* m when SIDE = 'L' or 'l' and is n otherwise.
+* Before entry with SIDE = 'L' or 'l', the m by m part of
+* the array A must contain the symmetric matrix, such that
+* when UPLO = 'U' or 'u', the leading m by m upper triangular
+* part of the array A must contain the upper triangular part
+* of the symmetric matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading m by m lower triangular part of the array A
+* must contain the lower triangular part of the symmetric
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Before entry with SIDE = 'R' or 'r', the n by n part of
+* the array A must contain the symmetric matrix, such that
+* when UPLO = 'U' or 'u', the leading n by n upper triangular
+* part of the array A must contain the upper triangular part
+* of the symmetric matrix and the strictly lower triangular
+* part of A is not referenced, and when UPLO = 'L' or 'l',
+* the leading n by n lower triangular part of the array A
+* must contain the lower triangular part of the symmetric
+* matrix and the strictly upper triangular part of A is not
+* referenced.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), otherwise LDA must be at
+* least max( 1, n ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta. When BETA is
+* supplied as zero then C need not be set on input.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry, the leading m by n part of the array C must
+* contain the matrix C, except when beta is zero, in which
+* case C need not be set on entry.
+* On exit, the array C is overwritten by the m by n updated
+* matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, K, NROWA
+ COMPLEX*16 TEMP1, TEMP2
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Set NROWA as the number of rows of A.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF( ( .NOT.LSAME( SIDE, 'L' ) ).AND.
+ $ ( .NOT.LSAME( SIDE, 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO, 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( M .LT.0 )THEN
+ INFO = 3
+ ELSE IF( N .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, M ) )THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZSYMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
+ $ ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, M
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( SIDE, 'L' ) )THEN
+*
+* Form C := alpha*A*B + beta*C.
+*
+ IF( UPPER )THEN
+ DO 70, J = 1, N
+ DO 60, I = 1, M
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 50, K = 1, I - 1
+ C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
+ TEMP2 = TEMP2 + B( K, J )*A( K, I )
+ 50 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*A( I, I ) + ALPHA*TEMP2
+ END IF
+ 60 CONTINUE
+ 70 CONTINUE
+ ELSE
+ DO 100, J = 1, N
+ DO 90, I = M, 1, -1
+ TEMP1 = ALPHA*B( I, J )
+ TEMP2 = ZERO
+ DO 80, K = I + 1, M
+ C( K, J ) = C( K, J ) + TEMP1 *A( K, I )
+ TEMP2 = TEMP2 + B( K, J )*A( K, I )
+ 80 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = TEMP1*A( I, I ) + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ TEMP1*A( I, I ) + ALPHA*TEMP2
+ END IF
+ 90 CONTINUE
+ 100 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*B*A + beta*C.
+*
+ DO 170, J = 1, N
+ TEMP1 = ALPHA*A( J, J )
+ IF( BETA.EQ.ZERO )THEN
+ DO 110, I = 1, M
+ C( I, J ) = TEMP1*B( I, J )
+ 110 CONTINUE
+ ELSE
+ DO 120, I = 1, M
+ C( I, J ) = BETA*C( I, J ) + TEMP1*B( I, J )
+ 120 CONTINUE
+ END IF
+ DO 140, K = 1, J - 1
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( K, J )
+ ELSE
+ TEMP1 = ALPHA*A( J, K )
+ END IF
+ DO 130, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 130 CONTINUE
+ 140 CONTINUE
+ DO 160, K = J + 1, N
+ IF( UPPER )THEN
+ TEMP1 = ALPHA*A( J, K )
+ ELSE
+ TEMP1 = ALPHA*A( K, J )
+ END IF
+ DO 150, I = 1, M
+ C( I, J ) = C( I, J ) + TEMP1*B( I, K )
+ 150 CONTINUE
+ 160 CONTINUE
+ 170 CONTINUE
+ END IF
+*
+ RETURN
+*
+* End of ZSYMM .
+*
+ END
diff --git a/src/fortran/blas/zsyr2k.f b/src/fortran/blas/zsyr2k.f
new file mode 100644
index 0000000..aba2071
--- /dev/null
+++ b/src/fortran/blas/zsyr2k.f
@@ -0,0 +1,324 @@
+ SUBROUTINE ZSYR2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 UPLO, TRANS
+ INTEGER N, K, LDA, LDB, LDC
+ COMPLEX*16 ALPHA, BETA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZSYR2K performs one of the symmetric rank 2k operations
+*
+* C := alpha*A*B' + alpha*B*A' + beta*C,
+*
+* or
+*
+* C := alpha*A'*B + alpha*B'*A + beta*C,
+*
+* where alpha and beta are scalars, C is an n by n symmetric matrix
+* and A and B are n by k matrices in the first case and k by n
+* matrices in the second case.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array C is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of C
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of C
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' C := alpha*A*B' + alpha*B*A' +
+* beta*C.
+*
+* TRANS = 'T' or 't' C := alpha*A'*B + alpha*B'*A +
+* beta*C.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with TRANS = 'N' or 'n', K specifies the number
+* of columns of the matrices A and B, and on entry with
+* TRANS = 'T' or 't', K specifies the number of rows of the
+* matrices A and B. K must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by n part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDA must be at least max( 1, n ), otherwise LDA must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array B must contain the matrix B, otherwise
+* the leading k by n part of the array B must contain the
+* matrix B.
+* Unchanged on exit.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDB must be at least max( 1, n ), otherwise LDB must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array C must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of C is not referenced. On exit, the
+* upper triangular part of the array C is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array C must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of C is not referenced. On exit, the
+* lower triangular part of the array C is overwritten by the
+* lower triangular part of the updated matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, L, NROWA
+ COMPLEX*16 TEMP1, TEMP2
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ NROWA = N
+ ELSE
+ NROWA = K
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANS, 'T' ) ) )THEN
+ INFO = 2
+ ELSE IF( N .LT.0 )THEN
+ INFO = 3
+ ELSE IF( K .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDB.LT.MAX( 1, NROWA ) )THEN
+ INFO = 9
+ ELSE IF( LDC.LT.MAX( 1, N ) )THEN
+ INFO = 12
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZSYR2K', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.
+ $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( UPPER )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, J
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( BETA.EQ.ZERO )THEN
+ DO 60, J = 1, N
+ DO 50, I = J, N
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ DO 70, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form C := alpha*A*B' + alpha*B*A' + C.
+*
+ IF( UPPER )THEN
+ DO 130, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 90, I = 1, J
+ C( I, J ) = ZERO
+ 90 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 100, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 100 CONTINUE
+ END IF
+ DO 120, L = 1, K
+ IF( ( A( J, L ).NE.ZERO ).OR.
+ $ ( B( J, L ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*B( J, L )
+ TEMP2 = ALPHA*A( J, L )
+ DO 110, I = 1, J
+ C( I, J ) = C( I, J ) + A( I, L )*TEMP1 +
+ $ B( I, L )*TEMP2
+ 110 CONTINUE
+ END IF
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 180, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 140, I = J, N
+ C( I, J ) = ZERO
+ 140 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 150, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 150 CONTINUE
+ END IF
+ DO 170, L = 1, K
+ IF( ( A( J, L ).NE.ZERO ).OR.
+ $ ( B( J, L ).NE.ZERO ) )THEN
+ TEMP1 = ALPHA*B( J, L )
+ TEMP2 = ALPHA*A( J, L )
+ DO 160, I = J, N
+ C( I, J ) = C( I, J ) + A( I, L )*TEMP1 +
+ $ B( I, L )*TEMP2
+ 160 CONTINUE
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*A'*B + alpha*B'*A + C.
+*
+ IF( UPPER )THEN
+ DO 210, J = 1, N
+ DO 200, I = 1, J
+ TEMP1 = ZERO
+ TEMP2 = ZERO
+ DO 190, L = 1, K
+ TEMP1 = TEMP1 + A( L, I )*B( L, J )
+ TEMP2 = TEMP2 + B( L, I )*A( L, J )
+ 190 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP1 + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ ALPHA*TEMP1 + ALPHA*TEMP2
+ END IF
+ 200 CONTINUE
+ 210 CONTINUE
+ ELSE
+ DO 240, J = 1, N
+ DO 230, I = J, N
+ TEMP1 = ZERO
+ TEMP2 = ZERO
+ DO 220, L = 1, K
+ TEMP1 = TEMP1 + A( L, I )*B( L, J )
+ TEMP2 = TEMP2 + B( L, I )*A( L, J )
+ 220 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP1 + ALPHA*TEMP2
+ ELSE
+ C( I, J ) = BETA *C( I, J ) +
+ $ ALPHA*TEMP1 + ALPHA*TEMP2
+ END IF
+ 230 CONTINUE
+ 240 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZSYR2K.
+*
+ END
diff --git a/src/fortran/blas/zsyrk.f b/src/fortran/blas/zsyrk.f
new file mode 100644
index 0000000..77e2c20
--- /dev/null
+++ b/src/fortran/blas/zsyrk.f
@@ -0,0 +1,293 @@
+ SUBROUTINE ZSYRK ( UPLO, TRANS, N, K, ALPHA, A, LDA,
+ $ BETA, C, LDC )
+* .. Scalar Arguments ..
+ CHARACTER*1 UPLO, TRANS
+ INTEGER N, K, LDA, LDC
+ COMPLEX*16 ALPHA, BETA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), C( LDC, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZSYRK performs one of the symmetric rank k operations
+*
+* C := alpha*A*A' + beta*C,
+*
+* or
+*
+* C := alpha*A'*A + beta*C,
+*
+* where alpha and beta are scalars, C is an n by n symmetric matrix
+* and A is an n by k matrix in the first case and a k by n matrix
+* in the second case.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the upper or lower
+* triangular part of the array C is to be referenced as
+* follows:
+*
+* UPLO = 'U' or 'u' Only the upper triangular part of C
+* is to be referenced.
+*
+* UPLO = 'L' or 'l' Only the lower triangular part of C
+* is to be referenced.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' C := alpha*A*A' + beta*C.
+*
+* TRANS = 'T' or 't' C := alpha*A'*A + beta*C.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix C. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with TRANS = 'N' or 'n', K specifies the number
+* of columns of the matrix A, and on entry with
+* TRANS = 'T' or 't', K specifies the number of rows of the
+* matrix A. K must be at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is
+* k when TRANS = 'N' or 'n', and is n otherwise.
+* Before entry with TRANS = 'N' or 'n', the leading n by k
+* part of the array A must contain the matrix A, otherwise
+* the leading k by n part of the array A must contain the
+* matrix A.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When TRANS = 'N' or 'n'
+* then LDA must be at least max( 1, n ), otherwise LDA must
+* be at least max( 1, k ).
+* Unchanged on exit.
+*
+* BETA - COMPLEX*16 .
+* On entry, BETA specifies the scalar beta.
+* Unchanged on exit.
+*
+* C - COMPLEX*16 array of DIMENSION ( LDC, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array C must contain the upper
+* triangular part of the symmetric matrix and the strictly
+* lower triangular part of C is not referenced. On exit, the
+* upper triangular part of the array C is overwritten by the
+* upper triangular part of the updated matrix.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array C must contain the lower
+* triangular part of the symmetric matrix and the strictly
+* upper triangular part of C is not referenced. On exit, the
+* lower triangular part of the array C is overwritten by the
+* lower triangular part of the updated matrix.
+*
+* LDC - INTEGER.
+* On entry, LDC specifies the first dimension of C as declared
+* in the calling (sub) program. LDC must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC MAX
+* .. Local Scalars ..
+ LOGICAL UPPER
+ INTEGER I, INFO, J, L, NROWA
+ COMPLEX*16 TEMP
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+ NROWA = N
+ ELSE
+ NROWA = K
+ END IF
+ UPPER = LSAME( UPLO, 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.LSAME( TRANS, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANS, 'T' ) ) )THEN
+ INFO = 2
+ ELSE IF( N .LT.0 )THEN
+ INFO = 3
+ ELSE IF( K .LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 7
+ ELSE IF( LDC.LT.MAX( 1, N ) )THEN
+ INFO = 10
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZSYRK ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( ( N.EQ.0 ).OR.
+ $ ( ( ( ALPHA.EQ.ZERO ).OR.( K.EQ.0 ) ).AND.( BETA.EQ.ONE ) ) )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ IF( UPPER )THEN
+ IF( BETA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, J
+ C( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ ELSE
+ DO 40, J = 1, N
+ DO 30, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 30 CONTINUE
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( BETA.EQ.ZERO )THEN
+ DO 60, J = 1, N
+ DO 50, I = J, N
+ C( I, J ) = ZERO
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ DO 70, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ END IF
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form C := alpha*A*A' + beta*C.
+*
+ IF( UPPER )THEN
+ DO 130, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 90, I = 1, J
+ C( I, J ) = ZERO
+ 90 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 100, I = 1, J
+ C( I, J ) = BETA*C( I, J )
+ 100 CONTINUE
+ END IF
+ DO 120, L = 1, K
+ IF( A( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*A( J, L )
+ DO 110, I = 1, J
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 110 CONTINUE
+ END IF
+ 120 CONTINUE
+ 130 CONTINUE
+ ELSE
+ DO 180, J = 1, N
+ IF( BETA.EQ.ZERO )THEN
+ DO 140, I = J, N
+ C( I, J ) = ZERO
+ 140 CONTINUE
+ ELSE IF( BETA.NE.ONE )THEN
+ DO 150, I = J, N
+ C( I, J ) = BETA*C( I, J )
+ 150 CONTINUE
+ END IF
+ DO 170, L = 1, K
+ IF( A( J, L ).NE.ZERO )THEN
+ TEMP = ALPHA*A( J, L )
+ DO 160, I = J, N
+ C( I, J ) = C( I, J ) + TEMP*A( I, L )
+ 160 CONTINUE
+ END IF
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ ELSE
+*
+* Form C := alpha*A'*A + beta*C.
+*
+ IF( UPPER )THEN
+ DO 210, J = 1, N
+ DO 200, I = 1, J
+ TEMP = ZERO
+ DO 190, L = 1, K
+ TEMP = TEMP + A( L, I )*A( L, J )
+ 190 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 200 CONTINUE
+ 210 CONTINUE
+ ELSE
+ DO 240, J = 1, N
+ DO 230, I = J, N
+ TEMP = ZERO
+ DO 220, L = 1, K
+ TEMP = TEMP + A( L, I )*A( L, J )
+ 220 CONTINUE
+ IF( BETA.EQ.ZERO )THEN
+ C( I, J ) = ALPHA*TEMP
+ ELSE
+ C( I, J ) = ALPHA*TEMP + BETA*C( I, J )
+ END IF
+ 230 CONTINUE
+ 240 CONTINUE
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZSYRK .
+*
+ END
diff --git a/src/fortran/blas/ztbmv.f b/src/fortran/blas/ztbmv.f
new file mode 100644
index 0000000..1794408
--- /dev/null
+++ b/src/fortran/blas/ztbmv.f
@@ -0,0 +1,377 @@
+ SUBROUTINE ZTBMV ( UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, K, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTBMV performs one of the matrix-vector operations
+*
+* x := A*x, or x := A'*x, or x := conjg( A' )*x,
+*
+* where x is an n element vector and A is an n by n unit, or non-unit,
+* upper or lower triangular band matrix, with ( k + 1 ) diagonals.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' x := A*x.
+*
+* TRANS = 'T' or 't' x := A'*x.
+*
+* TRANS = 'C' or 'c' x := conjg( A' )*x.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with UPLO = 'U' or 'u', K specifies the number of
+* super-diagonals of the matrix A.
+* On entry with UPLO = 'L' or 'l', K specifies the number of
+* sub-diagonals of the matrix A.
+* K must satisfy 0 .le. K.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
+* by n part of the array A must contain the upper triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row
+* ( k + 1 ) of the array, the first super-diagonal starting at
+* position 2 in row k, and so on. The top left k by k triangle
+* of the array A is not referenced.
+* The following program segment will transfer an upper
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = K + 1 - J
+* DO 10, I = MAX( 1, J - K ), J
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
+* by n part of the array A must contain the lower triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row 1 of
+* the array, the first sub-diagonal starting at position 1 in
+* row 2, and so on. The bottom right k by k triangle of the
+* array A is not referenced.
+* The following program segment will transfer a lower
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = 1 - J
+* DO 10, I = J, MIN( N, J + K )
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Note that when DIAG = 'U' or 'u' the elements of the array A
+* corresponding to the diagonal elements of the matrix are not
+* referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( k + 1 ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x. On exit, X is overwritten with the
+* tranformed vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, KPLUS1, KX, L
+ LOGICAL NOCONJ, NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( K.LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.( K + 1 ) )THEN
+ INFO = 7
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTBMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := A*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ L = KPLUS1 - J
+ DO 10, I = MAX( 1, J - K ), J - 1
+ X( I ) = X( I ) + TEMP*A( L + I, J )
+ 10 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( KPLUS1, J )
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ L = KPLUS1 - J
+ DO 30, I = MAX( 1, J - K ), J - 1
+ X( IX ) = X( IX ) + TEMP*A( L + I, J )
+ IX = IX + INCX
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( KPLUS1, J )
+ END IF
+ JX = JX + INCX
+ IF( J.GT.K )
+ $ KX = KX + INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ L = 1 - J
+ DO 50, I = MIN( N, J + K ), J + 1, -1
+ X( I ) = X( I ) + TEMP*A( L + I, J )
+ 50 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( 1, J )
+ END IF
+ 60 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 80, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ L = 1 - J
+ DO 70, I = MIN( N, J + K ), J + 1, -1
+ X( IX ) = X( IX ) + TEMP*A( L + I, J )
+ IX = IX - INCX
+ 70 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( 1, J )
+ END IF
+ JX = JX - INCX
+ IF( ( N - J ).GE.K )
+ $ KX = KX - INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := A'*x or x := conjg( A' )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = N, 1, -1
+ TEMP = X( J )
+ L = KPLUS1 - J
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( KPLUS1, J )
+ DO 90, I = J - 1, MAX( 1, J - K ), -1
+ TEMP = TEMP + A( L + I, J )*X( I )
+ 90 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( KPLUS1, J ) )
+ DO 100, I = J - 1, MAX( 1, J - K ), -1
+ TEMP = TEMP + DCONJG( A( L + I, J ) )*X( I )
+ 100 CONTINUE
+ END IF
+ X( J ) = TEMP
+ 110 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 140, J = N, 1, -1
+ TEMP = X( JX )
+ KX = KX - INCX
+ IX = KX
+ L = KPLUS1 - J
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( KPLUS1, J )
+ DO 120, I = J - 1, MAX( 1, J - K ), -1
+ TEMP = TEMP + A( L + I, J )*X( IX )
+ IX = IX - INCX
+ 120 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( KPLUS1, J ) )
+ DO 130, I = J - 1, MAX( 1, J - K ), -1
+ TEMP = TEMP + DCONJG( A( L + I, J ) )*X( IX )
+ IX = IX - INCX
+ 130 CONTINUE
+ END IF
+ X( JX ) = TEMP
+ JX = JX - INCX
+ 140 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 170, J = 1, N
+ TEMP = X( J )
+ L = 1 - J
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( 1, J )
+ DO 150, I = J + 1, MIN( N, J + K )
+ TEMP = TEMP + A( L + I, J )*X( I )
+ 150 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( 1, J ) )
+ DO 160, I = J + 1, MIN( N, J + K )
+ TEMP = TEMP + DCONJG( A( L + I, J ) )*X( I )
+ 160 CONTINUE
+ END IF
+ X( J ) = TEMP
+ 170 CONTINUE
+ ELSE
+ JX = KX
+ DO 200, J = 1, N
+ TEMP = X( JX )
+ KX = KX + INCX
+ IX = KX
+ L = 1 - J
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( 1, J )
+ DO 180, I = J + 1, MIN( N, J + K )
+ TEMP = TEMP + A( L + I, J )*X( IX )
+ IX = IX + INCX
+ 180 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( 1, J ) )
+ DO 190, I = J + 1, MIN( N, J + K )
+ TEMP = TEMP + DCONJG( A( L + I, J ) )*X( IX )
+ IX = IX + INCX
+ 190 CONTINUE
+ END IF
+ X( JX ) = TEMP
+ JX = JX + INCX
+ 200 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTBMV .
+*
+ END
diff --git a/src/fortran/blas/ztbsv.f b/src/fortran/blas/ztbsv.f
new file mode 100644
index 0000000..f3ded81
--- /dev/null
+++ b/src/fortran/blas/ztbsv.f
@@ -0,0 +1,381 @@
+ SUBROUTINE ZTBSV ( UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, K, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTBSV solves one of the systems of equations
+*
+* A*x = b, or A'*x = b, or conjg( A' )*x = b,
+*
+* where b and x are n element vectors and A is an n by n unit, or
+* non-unit, upper or lower triangular band matrix, with ( k + 1 )
+* diagonals.
+*
+* No test for singularity or near-singularity is included in this
+* routine. Such tests must be performed before calling this routine.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the equations to be solved as
+* follows:
+*
+* TRANS = 'N' or 'n' A*x = b.
+*
+* TRANS = 'T' or 't' A'*x = b.
+*
+* TRANS = 'C' or 'c' conjg( A' )*x = b.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* K - INTEGER.
+* On entry with UPLO = 'U' or 'u', K specifies the number of
+* super-diagonals of the matrix A.
+* On entry with UPLO = 'L' or 'l', K specifies the number of
+* sub-diagonals of the matrix A.
+* K must satisfy 0 .le. K.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
+* by n part of the array A must contain the upper triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row
+* ( k + 1 ) of the array, the first super-diagonal starting at
+* position 2 in row k, and so on. The top left k by k triangle
+* of the array A is not referenced.
+* The following program segment will transfer an upper
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = K + 1 - J
+* DO 10, I = MAX( 1, J - K ), J
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
+* by n part of the array A must contain the lower triangular
+* band part of the matrix of coefficients, supplied column by
+* column, with the leading diagonal of the matrix in row 1 of
+* the array, the first sub-diagonal starting at position 1 in
+* row 2, and so on. The bottom right k by k triangle of the
+* array A is not referenced.
+* The following program segment will transfer a lower
+* triangular band matrix from conventional full matrix storage
+* to band storage:
+*
+* DO 20, J = 1, N
+* M = 1 - J
+* DO 10, I = J, MIN( N, J + K )
+* A( M + I, J ) = matrix( I, J )
+* 10 CONTINUE
+* 20 CONTINUE
+*
+* Note that when DIAG = 'U' or 'u' the elements of the array A
+* corresponding to the diagonal elements of the matrix are not
+* referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* ( k + 1 ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element right-hand side vector b. On exit, X is overwritten
+* with the solution vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, KPLUS1, KX, L
+ LOGICAL NOCONJ, NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX, MIN
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( K.LT.0 )THEN
+ INFO = 5
+ ELSE IF( LDA.LT.( K + 1 ) )THEN
+ INFO = 7
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 9
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTBSV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed by sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := inv( A )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ L = KPLUS1 - J
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( KPLUS1, J )
+ TEMP = X( J )
+ DO 10, I = J - 1, MAX( 1, J - K ), -1
+ X( I ) = X( I ) - TEMP*A( L + I, J )
+ 10 CONTINUE
+ END IF
+ 20 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 40, J = N, 1, -1
+ KX = KX - INCX
+ IF( X( JX ).NE.ZERO )THEN
+ IX = KX
+ L = KPLUS1 - J
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( KPLUS1, J )
+ TEMP = X( JX )
+ DO 30, I = J - 1, MAX( 1, J - K ), -1
+ X( IX ) = X( IX ) - TEMP*A( L + I, J )
+ IX = IX - INCX
+ 30 CONTINUE
+ END IF
+ JX = JX - INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ L = 1 - J
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( 1, J )
+ TEMP = X( J )
+ DO 50, I = J + 1, MIN( N, J + K )
+ X( I ) = X( I ) - TEMP*A( L + I, J )
+ 50 CONTINUE
+ END IF
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ KX = KX + INCX
+ IF( X( JX ).NE.ZERO )THEN
+ IX = KX
+ L = 1 - J
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( 1, J )
+ TEMP = X( JX )
+ DO 70, I = J + 1, MIN( N, J + K )
+ X( IX ) = X( IX ) - TEMP*A( L + I, J )
+ IX = IX + INCX
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := inv( A' )*x or x := inv( conjg( A') )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KPLUS1 = K + 1
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = 1, N
+ TEMP = X( J )
+ L = KPLUS1 - J
+ IF( NOCONJ )THEN
+ DO 90, I = MAX( 1, J - K ), J - 1
+ TEMP = TEMP - A( L + I, J )*X( I )
+ 90 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( KPLUS1, J )
+ ELSE
+ DO 100, I = MAX( 1, J - K ), J - 1
+ TEMP = TEMP - DCONJG( A( L + I, J ) )*X( I )
+ 100 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( KPLUS1, J ) )
+ END IF
+ X( J ) = TEMP
+ 110 CONTINUE
+ ELSE
+ JX = KX
+ DO 140, J = 1, N
+ TEMP = X( JX )
+ IX = KX
+ L = KPLUS1 - J
+ IF( NOCONJ )THEN
+ DO 120, I = MAX( 1, J - K ), J - 1
+ TEMP = TEMP - A( L + I, J )*X( IX )
+ IX = IX + INCX
+ 120 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( KPLUS1, J )
+ ELSE
+ DO 130, I = MAX( 1, J - K ), J - 1
+ TEMP = TEMP - DCONJG( A( L + I, J ) )*X( IX )
+ IX = IX + INCX
+ 130 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( KPLUS1, J ) )
+ END IF
+ X( JX ) = TEMP
+ JX = JX + INCX
+ IF( J.GT.K )
+ $ KX = KX + INCX
+ 140 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 170, J = N, 1, -1
+ TEMP = X( J )
+ L = 1 - J
+ IF( NOCONJ )THEN
+ DO 150, I = MIN( N, J + K ), J + 1, -1
+ TEMP = TEMP - A( L + I, J )*X( I )
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( 1, J )
+ ELSE
+ DO 160, I = MIN( N, J + K ), J + 1, -1
+ TEMP = TEMP - DCONJG( A( L + I, J ) )*X( I )
+ 160 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( 1, J ) )
+ END IF
+ X( J ) = TEMP
+ 170 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 200, J = N, 1, -1
+ TEMP = X( JX )
+ IX = KX
+ L = 1 - J
+ IF( NOCONJ )THEN
+ DO 180, I = MIN( N, J + K ), J + 1, -1
+ TEMP = TEMP - A( L + I, J )*X( IX )
+ IX = IX - INCX
+ 180 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( 1, J )
+ ELSE
+ DO 190, I = MIN( N, J + K ), J + 1, -1
+ TEMP = TEMP - DCONJG( A( L + I, J ) )*X( IX )
+ IX = IX - INCX
+ 190 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( 1, J ) )
+ END IF
+ X( JX ) = TEMP
+ JX = JX - INCX
+ IF( ( N - J ).GE.K )
+ $ KX = KX - INCX
+ 200 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTBSV .
+*
+ END
diff --git a/src/fortran/blas/ztpmv.f b/src/fortran/blas/ztpmv.f
new file mode 100644
index 0000000..4fad3a8
--- /dev/null
+++ b/src/fortran/blas/ztpmv.f
@@ -0,0 +1,338 @@
+ SUBROUTINE ZTPMV ( UPLO, TRANS, DIAG, N, AP, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ COMPLEX*16 AP( * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTPMV performs one of the matrix-vector operations
+*
+* x := A*x, or x := A'*x, or x := conjg( A' )*x,
+*
+* where x is an n element vector and A is an n by n unit, or non-unit,
+* upper or lower triangular matrix, supplied in packed form.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' x := A*x.
+*
+* TRANS = 'T' or 't' x := A'*x.
+*
+* TRANS = 'C' or 'c' x := conjg( A' )*x.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* AP - COMPLEX*16 array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
+* respectively, and so on.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
+* respectively, and so on.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x. On exit, X is overwritten with the
+* tranformed vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, K, KK, KX
+ LOGICAL NOCONJ, NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTPMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of AP are
+* accessed sequentially with one pass through AP.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x:= A*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ K = KK
+ DO 10, I = 1, J - 1
+ X( I ) = X( I ) + TEMP*AP( K )
+ K = K + 1
+ 10 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*AP( KK + J - 1 )
+ END IF
+ KK = KK + J
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 30, K = KK, KK + J - 2
+ X( IX ) = X( IX ) + TEMP*AP( K )
+ IX = IX + INCX
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*AP( KK + J - 1 )
+ END IF
+ JX = JX + INCX
+ KK = KK + J
+ 40 CONTINUE
+ END IF
+ ELSE
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ K = KK
+ DO 50, I = N, J + 1, -1
+ X( I ) = X( I ) + TEMP*AP( K )
+ K = K - 1
+ 50 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*AP( KK - N + J )
+ END IF
+ KK = KK - ( N - J + 1 )
+ 60 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 80, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 70, K = KK, KK - ( N - ( J + 1 ) ), -1
+ X( IX ) = X( IX ) + TEMP*AP( K )
+ IX = IX - INCX
+ 70 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*AP( KK - N + J )
+ END IF
+ JX = JX - INCX
+ KK = KK - ( N - J + 1 )
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := A'*x or x := conjg( A' )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = N, 1, -1
+ TEMP = X( J )
+ K = KK - 1
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ DO 90, I = J - 1, 1, -1
+ TEMP = TEMP + AP( K )*X( I )
+ K = K - 1
+ 90 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( AP( KK ) )
+ DO 100, I = J - 1, 1, -1
+ TEMP = TEMP + DCONJG( AP( K ) )*X( I )
+ K = K - 1
+ 100 CONTINUE
+ END IF
+ X( J ) = TEMP
+ KK = KK - J
+ 110 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 140, J = N, 1, -1
+ TEMP = X( JX )
+ IX = JX
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ DO 120, K = KK - 1, KK - J + 1, -1
+ IX = IX - INCX
+ TEMP = TEMP + AP( K )*X( IX )
+ 120 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( AP( KK ) )
+ DO 130, K = KK - 1, KK - J + 1, -1
+ IX = IX - INCX
+ TEMP = TEMP + DCONJG( AP( K ) )*X( IX )
+ 130 CONTINUE
+ END IF
+ X( JX ) = TEMP
+ JX = JX - INCX
+ KK = KK - J
+ 140 CONTINUE
+ END IF
+ ELSE
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 170, J = 1, N
+ TEMP = X( J )
+ K = KK + 1
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ DO 150, I = J + 1, N
+ TEMP = TEMP + AP( K )*X( I )
+ K = K + 1
+ 150 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( AP( KK ) )
+ DO 160, I = J + 1, N
+ TEMP = TEMP + DCONJG( AP( K ) )*X( I )
+ K = K + 1
+ 160 CONTINUE
+ END IF
+ X( J ) = TEMP
+ KK = KK + ( N - J + 1 )
+ 170 CONTINUE
+ ELSE
+ JX = KX
+ DO 200, J = 1, N
+ TEMP = X( JX )
+ IX = JX
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*AP( KK )
+ DO 180, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ TEMP = TEMP + AP( K )*X( IX )
+ 180 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( AP( KK ) )
+ DO 190, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ TEMP = TEMP + DCONJG( AP( K ) )*X( IX )
+ 190 CONTINUE
+ END IF
+ X( JX ) = TEMP
+ JX = JX + INCX
+ KK = KK + ( N - J + 1 )
+ 200 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTPMV .
+*
+ END
diff --git a/src/fortran/blas/ztpsv.f b/src/fortran/blas/ztpsv.f
new file mode 100644
index 0000000..8649f47
--- /dev/null
+++ b/src/fortran/blas/ztpsv.f
@@ -0,0 +1,341 @@
+ SUBROUTINE ZTPSV ( UPLO, TRANS, DIAG, N, AP, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ COMPLEX*16 AP( * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTPSV solves one of the systems of equations
+*
+* A*x = b, or A'*x = b, or conjg( A' )*x = b,
+*
+* where b and x are n element vectors and A is an n by n unit, or
+* non-unit, upper or lower triangular matrix, supplied in packed form.
+*
+* No test for singularity or near-singularity is included in this
+* routine. Such tests must be performed before calling this routine.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the equations to be solved as
+* follows:
+*
+* TRANS = 'N' or 'n' A*x = b.
+*
+* TRANS = 'T' or 't' A'*x = b.
+*
+* TRANS = 'C' or 'c' conjg( A' )*x = b.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* AP - COMPLEX*16 array of DIMENSION at least
+* ( ( n*( n + 1 ) )/2 ).
+* Before entry with UPLO = 'U' or 'u', the array AP must
+* contain the upper triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
+* respectively, and so on.
+* Before entry with UPLO = 'L' or 'l', the array AP must
+* contain the lower triangular matrix packed sequentially,
+* column by column, so that AP( 1 ) contains a( 1, 1 ),
+* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
+* respectively, and so on.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced, but are assumed to be unity.
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element right-hand side vector b. On exit, X is overwritten
+* with the solution vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, K, KK, KX
+ LOGICAL NOCONJ, NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 7
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTPSV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of AP are
+* accessed sequentially with one pass through AP.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := inv( A )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/AP( KK )
+ TEMP = X( J )
+ K = KK - 1
+ DO 10, I = J - 1, 1, -1
+ X( I ) = X( I ) - TEMP*AP( K )
+ K = K - 1
+ 10 CONTINUE
+ END IF
+ KK = KK - J
+ 20 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 40, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/AP( KK )
+ TEMP = X( JX )
+ IX = JX
+ DO 30, K = KK - 1, KK - J + 1, -1
+ IX = IX - INCX
+ X( IX ) = X( IX ) - TEMP*AP( K )
+ 30 CONTINUE
+ END IF
+ JX = JX - INCX
+ KK = KK - J
+ 40 CONTINUE
+ END IF
+ ELSE
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/AP( KK )
+ TEMP = X( J )
+ K = KK + 1
+ DO 50, I = J + 1, N
+ X( I ) = X( I ) - TEMP*AP( K )
+ K = K + 1
+ 50 CONTINUE
+ END IF
+ KK = KK + ( N - J + 1 )
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/AP( KK )
+ TEMP = X( JX )
+ IX = JX
+ DO 70, K = KK + 1, KK + N - J
+ IX = IX + INCX
+ X( IX ) = X( IX ) - TEMP*AP( K )
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ KK = KK + ( N - J + 1 )
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := inv( A' )*x or x := inv( conjg( A' ) )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ KK = 1
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = 1, N
+ TEMP = X( J )
+ K = KK
+ IF( NOCONJ )THEN
+ DO 90, I = 1, J - 1
+ TEMP = TEMP - AP( K )*X( I )
+ K = K + 1
+ 90 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK + J - 1 )
+ ELSE
+ DO 100, I = 1, J - 1
+ TEMP = TEMP - DCONJG( AP( K ) )*X( I )
+ K = K + 1
+ 100 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( AP( KK + J - 1 ) )
+ END IF
+ X( J ) = TEMP
+ KK = KK + J
+ 110 CONTINUE
+ ELSE
+ JX = KX
+ DO 140, J = 1, N
+ TEMP = X( JX )
+ IX = KX
+ IF( NOCONJ )THEN
+ DO 120, K = KK, KK + J - 2
+ TEMP = TEMP - AP( K )*X( IX )
+ IX = IX + INCX
+ 120 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK + J - 1 )
+ ELSE
+ DO 130, K = KK, KK + J - 2
+ TEMP = TEMP - DCONJG( AP( K ) )*X( IX )
+ IX = IX + INCX
+ 130 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( AP( KK + J - 1 ) )
+ END IF
+ X( JX ) = TEMP
+ JX = JX + INCX
+ KK = KK + J
+ 140 CONTINUE
+ END IF
+ ELSE
+ KK = ( N*( N + 1 ) )/2
+ IF( INCX.EQ.1 )THEN
+ DO 170, J = N, 1, -1
+ TEMP = X( J )
+ K = KK
+ IF( NOCONJ )THEN
+ DO 150, I = N, J + 1, -1
+ TEMP = TEMP - AP( K )*X( I )
+ K = K - 1
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK - N + J )
+ ELSE
+ DO 160, I = N, J + 1, -1
+ TEMP = TEMP - DCONJG( AP( K ) )*X( I )
+ K = K - 1
+ 160 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( AP( KK - N + J ) )
+ END IF
+ X( J ) = TEMP
+ KK = KK - ( N - J + 1 )
+ 170 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 200, J = N, 1, -1
+ TEMP = X( JX )
+ IX = KX
+ IF( NOCONJ )THEN
+ DO 180, K = KK, KK - ( N - ( J + 1 ) ), -1
+ TEMP = TEMP - AP( K )*X( IX )
+ IX = IX - INCX
+ 180 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/AP( KK - N + J )
+ ELSE
+ DO 190, K = KK, KK - ( N - ( J + 1 ) ), -1
+ TEMP = TEMP - DCONJG( AP( K ) )*X( IX )
+ IX = IX - INCX
+ 190 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( AP( KK - N + J ) )
+ END IF
+ X( JX ) = TEMP
+ JX = JX - INCX
+ KK = KK - ( N - J + 1 )
+ 200 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTPSV .
+*
+ END
diff --git a/src/fortran/blas/ztrmm.f b/src/fortran/blas/ztrmm.f
new file mode 100644
index 0000000..30910d1
--- /dev/null
+++ b/src/fortran/blas/ztrmm.f
@@ -0,0 +1,392 @@
+ SUBROUTINE ZTRMM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
+ $ B, LDB )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
+ INTEGER M, N, LDA, LDB
+ COMPLEX*16 ALPHA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTRMM performs one of the matrix-matrix operations
+*
+* B := alpha*op( A )*B, or B := alpha*B*op( A )
+*
+* where alpha is a scalar, B is an m by n matrix, A is a unit, or
+* non-unit, upper or lower triangular matrix and op( A ) is one of
+*
+* op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ).
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether op( A ) multiplies B from
+* the left or right as follows:
+*
+* SIDE = 'L' or 'l' B := alpha*op( A )*B.
+*
+* SIDE = 'R' or 'r' B := alpha*B*op( A ).
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix A is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANSA - CHARACTER*1.
+* On entry, TRANSA specifies the form of op( A ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSA = 'N' or 'n' op( A ) = A.
+*
+* TRANSA = 'T' or 't' op( A ) = A'.
+*
+* TRANSA = 'C' or 'c' op( A ) = conjg( A' ).
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit triangular
+* as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of B. M must be at
+* least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of B. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha. When alpha is
+* zero then A is not referenced and B need not be set before
+* entry.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, k ), where k is m
+* when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
+* Before entry with UPLO = 'U' or 'u', the leading k by k
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading k by k
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
+* then LDA must be at least max( 1, n ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the matrix B, and on exit is overwritten by the
+* transformed matrix.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* .. Local Scalars ..
+ LOGICAL LSIDE, NOCONJ, NOUNIT, UPPER
+ INTEGER I, INFO, J, K, NROWA
+ COMPLEX*16 TEMP
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ LSIDE = LSAME( SIDE , 'L' )
+ IF( LSIDE )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ NOCONJ = LSAME( TRANSA, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+ UPPER = LSAME( UPLO , 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.LSIDE ).AND.
+ $ ( .NOT.LSAME( SIDE , 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( ( .NOT.LSAME( TRANSA, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'T' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'C' ) ) )THEN
+ INFO = 3
+ ELSE IF( ( .NOT.LSAME( DIAG , 'U' ) ).AND.
+ $ ( .NOT.LSAME( DIAG , 'N' ) ) )THEN
+ INFO = 4
+ ELSE IF( M .LT.0 )THEN
+ INFO = 5
+ ELSE IF( N .LT.0 )THEN
+ INFO = 6
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 9
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTRMM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ B( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSIDE )THEN
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*A*B.
+*
+ IF( UPPER )THEN
+ DO 50, J = 1, N
+ DO 40, K = 1, M
+ IF( B( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*B( K, J )
+ DO 30, I = 1, K - 1
+ B( I, J ) = B( I, J ) + TEMP*A( I, K )
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( K, K )
+ B( K, J ) = TEMP
+ END IF
+ 40 CONTINUE
+ 50 CONTINUE
+ ELSE
+ DO 80, J = 1, N
+ DO 70 K = M, 1, -1
+ IF( B( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*B( K, J )
+ B( K, J ) = TEMP
+ IF( NOUNIT )
+ $ B( K, J ) = B( K, J )*A( K, K )
+ DO 60, I = K + 1, M
+ B( I, J ) = B( I, J ) + TEMP*A( I, K )
+ 60 CONTINUE
+ END IF
+ 70 CONTINUE
+ 80 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*A'*B or B := alpha*conjg( A' )*B.
+*
+ IF( UPPER )THEN
+ DO 120, J = 1, N
+ DO 110, I = M, 1, -1
+ TEMP = B( I, J )
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( I, I )
+ DO 90, K = 1, I - 1
+ TEMP = TEMP + A( K, I )*B( K, J )
+ 90 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( I, I ) )
+ DO 100, K = 1, I - 1
+ TEMP = TEMP + DCONJG( A( K, I ) )*B( K, J )
+ 100 CONTINUE
+ END IF
+ B( I, J ) = ALPHA*TEMP
+ 110 CONTINUE
+ 120 CONTINUE
+ ELSE
+ DO 160, J = 1, N
+ DO 150, I = 1, M
+ TEMP = B( I, J )
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( I, I )
+ DO 130, K = I + 1, M
+ TEMP = TEMP + A( K, I )*B( K, J )
+ 130 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( I, I ) )
+ DO 140, K = I + 1, M
+ TEMP = TEMP + DCONJG( A( K, I ) )*B( K, J )
+ 140 CONTINUE
+ END IF
+ B( I, J ) = ALPHA*TEMP
+ 150 CONTINUE
+ 160 CONTINUE
+ END IF
+ END IF
+ ELSE
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*B*A.
+*
+ IF( UPPER )THEN
+ DO 200, J = N, 1, -1
+ TEMP = ALPHA
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 170, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 170 CONTINUE
+ DO 190, K = 1, J - 1
+ IF( A( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*A( K, J )
+ DO 180, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 180 CONTINUE
+ END IF
+ 190 CONTINUE
+ 200 CONTINUE
+ ELSE
+ DO 240, J = 1, N
+ TEMP = ALPHA
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 210, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 210 CONTINUE
+ DO 230, K = J + 1, N
+ IF( A( K, J ).NE.ZERO )THEN
+ TEMP = ALPHA*A( K, J )
+ DO 220, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 220 CONTINUE
+ END IF
+ 230 CONTINUE
+ 240 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*B*A' or B := alpha*B*conjg( A' ).
+*
+ IF( UPPER )THEN
+ DO 280, K = 1, N
+ DO 260, J = 1, K - 1
+ IF( A( J, K ).NE.ZERO )THEN
+ IF( NOCONJ )THEN
+ TEMP = ALPHA*A( J, K )
+ ELSE
+ TEMP = ALPHA*DCONJG( A( J, K ) )
+ END IF
+ DO 250, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 250 CONTINUE
+ END IF
+ 260 CONTINUE
+ TEMP = ALPHA
+ IF( NOUNIT )THEN
+ IF( NOCONJ )THEN
+ TEMP = TEMP*A( K, K )
+ ELSE
+ TEMP = TEMP*DCONJG( A( K, K ) )
+ END IF
+ END IF
+ IF( TEMP.NE.ONE )THEN
+ DO 270, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 270 CONTINUE
+ END IF
+ 280 CONTINUE
+ ELSE
+ DO 320, K = N, 1, -1
+ DO 300, J = K + 1, N
+ IF( A( J, K ).NE.ZERO )THEN
+ IF( NOCONJ )THEN
+ TEMP = ALPHA*A( J, K )
+ ELSE
+ TEMP = ALPHA*DCONJG( A( J, K ) )
+ END IF
+ DO 290, I = 1, M
+ B( I, J ) = B( I, J ) + TEMP*B( I, K )
+ 290 CONTINUE
+ END IF
+ 300 CONTINUE
+ TEMP = ALPHA
+ IF( NOUNIT )THEN
+ IF( NOCONJ )THEN
+ TEMP = TEMP*A( K, K )
+ ELSE
+ TEMP = TEMP*DCONJG( A( K, K ) )
+ END IF
+ END IF
+ IF( TEMP.NE.ONE )THEN
+ DO 310, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 310 CONTINUE
+ END IF
+ 320 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTRMM .
+*
+ END
diff --git a/src/fortran/blas/ztrmv.f b/src/fortran/blas/ztrmv.f
new file mode 100644
index 0000000..677e212
--- /dev/null
+++ b/src/fortran/blas/ztrmv.f
@@ -0,0 +1,321 @@
+ SUBROUTINE ZTRMV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTRMV performs one of the matrix-vector operations
+*
+* x := A*x, or x := A'*x, or x := conjg( A' )*x,
+*
+* where x is an n element vector and A is an n by n unit, or non-unit,
+* upper or lower triangular matrix.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the operation to be performed as
+* follows:
+*
+* TRANS = 'N' or 'n' x := A*x.
+*
+* TRANS = 'T' or 't' x := A'*x.
+*
+* TRANS = 'C' or 'c' x := conjg( A' )*x.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element vector x. On exit, X is overwritten with the
+* tranformed vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, KX
+ LOGICAL NOCONJ, NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTRMV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := A*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ DO 10, I = 1, J - 1
+ X( I ) = X( I ) + TEMP*A( I, J )
+ 10 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( J, J )
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX
+ DO 40, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 30, I = 1, J - 1
+ X( IX ) = X( IX ) + TEMP*A( I, J )
+ IX = IX + INCX
+ 30 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( J, J )
+ END IF
+ JX = JX + INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ TEMP = X( J )
+ DO 50, I = N, J + 1, -1
+ X( I ) = X( I ) + TEMP*A( I, J )
+ 50 CONTINUE
+ IF( NOUNIT )
+ $ X( J ) = X( J )*A( J, J )
+ END IF
+ 60 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 80, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ TEMP = X( JX )
+ IX = KX
+ DO 70, I = N, J + 1, -1
+ X( IX ) = X( IX ) + TEMP*A( I, J )
+ IX = IX - INCX
+ 70 CONTINUE
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )*A( J, J )
+ END IF
+ JX = JX - INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := A'*x or x := conjg( A' )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = N, 1, -1
+ TEMP = X( J )
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 90, I = J - 1, 1, -1
+ TEMP = TEMP + A( I, J )*X( I )
+ 90 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( J, J ) )
+ DO 100, I = J - 1, 1, -1
+ TEMP = TEMP + DCONJG( A( I, J ) )*X( I )
+ 100 CONTINUE
+ END IF
+ X( J ) = TEMP
+ 110 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 140, J = N, 1, -1
+ TEMP = X( JX )
+ IX = JX
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 120, I = J - 1, 1, -1
+ IX = IX - INCX
+ TEMP = TEMP + A( I, J )*X( IX )
+ 120 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( J, J ) )
+ DO 130, I = J - 1, 1, -1
+ IX = IX - INCX
+ TEMP = TEMP + DCONJG( A( I, J ) )*X( IX )
+ 130 CONTINUE
+ END IF
+ X( JX ) = TEMP
+ JX = JX - INCX
+ 140 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 170, J = 1, N
+ TEMP = X( J )
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 150, I = J + 1, N
+ TEMP = TEMP + A( I, J )*X( I )
+ 150 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( J, J ) )
+ DO 160, I = J + 1, N
+ TEMP = TEMP + DCONJG( A( I, J ) )*X( I )
+ 160 CONTINUE
+ END IF
+ X( J ) = TEMP
+ 170 CONTINUE
+ ELSE
+ JX = KX
+ DO 200, J = 1, N
+ TEMP = X( JX )
+ IX = JX
+ IF( NOCONJ )THEN
+ IF( NOUNIT )
+ $ TEMP = TEMP*A( J, J )
+ DO 180, I = J + 1, N
+ IX = IX + INCX
+ TEMP = TEMP + A( I, J )*X( IX )
+ 180 CONTINUE
+ ELSE
+ IF( NOUNIT )
+ $ TEMP = TEMP*DCONJG( A( J, J ) )
+ DO 190, I = J + 1, N
+ IX = IX + INCX
+ TEMP = TEMP + DCONJG( A( I, J ) )*X( IX )
+ 190 CONTINUE
+ END IF
+ X( JX ) = TEMP
+ JX = JX + INCX
+ 200 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTRMV .
+*
+ END
diff --git a/src/fortran/blas/ztrsm.f b/src/fortran/blas/ztrsm.f
new file mode 100644
index 0000000..e414ec6
--- /dev/null
+++ b/src/fortran/blas/ztrsm.f
@@ -0,0 +1,414 @@
+ SUBROUTINE ZTRSM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
+ $ B, LDB )
+* .. Scalar Arguments ..
+ CHARACTER*1 SIDE, UPLO, TRANSA, DIAG
+ INTEGER M, N, LDA, LDB
+ COMPLEX*16 ALPHA
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), B( LDB, * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTRSM solves one of the matrix equations
+*
+* op( A )*X = alpha*B, or X*op( A ) = alpha*B,
+*
+* where alpha is a scalar, X and B are m by n matrices, A is a unit, or
+* non-unit, upper or lower triangular matrix and op( A ) is one of
+*
+* op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ).
+*
+* The matrix X is overwritten on B.
+*
+* Parameters
+* ==========
+*
+* SIDE - CHARACTER*1.
+* On entry, SIDE specifies whether op( A ) appears on the left
+* or right of X as follows:
+*
+* SIDE = 'L' or 'l' op( A )*X = alpha*B.
+*
+* SIDE = 'R' or 'r' X*op( A ) = alpha*B.
+*
+* Unchanged on exit.
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix A is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANSA - CHARACTER*1.
+* On entry, TRANSA specifies the form of op( A ) to be used in
+* the matrix multiplication as follows:
+*
+* TRANSA = 'N' or 'n' op( A ) = A.
+*
+* TRANSA = 'T' or 't' op( A ) = A'.
+*
+* TRANSA = 'C' or 'c' op( A ) = conjg( A' ).
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit triangular
+* as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* M - INTEGER.
+* On entry, M specifies the number of rows of B. M must be at
+* least zero.
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the number of columns of B. N must be
+* at least zero.
+* Unchanged on exit.
+*
+* ALPHA - COMPLEX*16 .
+* On entry, ALPHA specifies the scalar alpha. When alpha is
+* zero then A is not referenced and B need not be set before
+* entry.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, k ), where k is m
+* when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'.
+* Before entry with UPLO = 'U' or 'u', the leading k by k
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading k by k
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. When SIDE = 'L' or 'l' then
+* LDA must be at least max( 1, m ), when SIDE = 'R' or 'r'
+* then LDA must be at least max( 1, n ).
+* Unchanged on exit.
+*
+* B - COMPLEX*16 array of DIMENSION ( LDB, n ).
+* Before entry, the leading m by n part of the array B must
+* contain the right-hand side matrix B, and on exit is
+* overwritten by the solution matrix X.
+*
+* LDB - INTEGER.
+* On entry, LDB specifies the first dimension of B as declared
+* in the calling (sub) program. LDB must be at least
+* max( 1, m ).
+* Unchanged on exit.
+*
+*
+* Level 3 Blas routine.
+*
+* -- Written on 8-February-1989.
+* Jack Dongarra, Argonne National Laboratory.
+* Iain Duff, AERE Harwell.
+* Jeremy Du Croz, Numerical Algorithms Group Ltd.
+* Sven Hammarling, Numerical Algorithms Group Ltd.
+*
+*
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* .. Local Scalars ..
+ LOGICAL LSIDE, NOCONJ, NOUNIT, UPPER
+ INTEGER I, INFO, J, K, NROWA
+ COMPLEX*16 TEMP
+* .. Parameters ..
+ COMPLEX*16 ONE
+ PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ) )
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ LSIDE = LSAME( SIDE , 'L' )
+ IF( LSIDE )THEN
+ NROWA = M
+ ELSE
+ NROWA = N
+ END IF
+ NOCONJ = LSAME( TRANSA, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+ UPPER = LSAME( UPLO , 'U' )
+*
+ INFO = 0
+ IF( ( .NOT.LSIDE ).AND.
+ $ ( .NOT.LSAME( SIDE , 'R' ) ) )THEN
+ INFO = 1
+ ELSE IF( ( .NOT.UPPER ).AND.
+ $ ( .NOT.LSAME( UPLO , 'L' ) ) )THEN
+ INFO = 2
+ ELSE IF( ( .NOT.LSAME( TRANSA, 'N' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'T' ) ).AND.
+ $ ( .NOT.LSAME( TRANSA, 'C' ) ) )THEN
+ INFO = 3
+ ELSE IF( ( .NOT.LSAME( DIAG , 'U' ) ).AND.
+ $ ( .NOT.LSAME( DIAG , 'N' ) ) )THEN
+ INFO = 4
+ ELSE IF( M .LT.0 )THEN
+ INFO = 5
+ ELSE IF( N .LT.0 )THEN
+ INFO = 6
+ ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
+ INFO = 9
+ ELSE IF( LDB.LT.MAX( 1, M ) )THEN
+ INFO = 11
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTRSM ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+* And when alpha.eq.zero.
+*
+ IF( ALPHA.EQ.ZERO )THEN
+ DO 20, J = 1, N
+ DO 10, I = 1, M
+ B( I, J ) = ZERO
+ 10 CONTINUE
+ 20 CONTINUE
+ RETURN
+ END IF
+*
+* Start the operations.
+*
+ IF( LSIDE )THEN
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*inv( A )*B.
+*
+ IF( UPPER )THEN
+ DO 60, J = 1, N
+ IF( ALPHA.NE.ONE )THEN
+ DO 30, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 30 CONTINUE
+ END IF
+ DO 50, K = M, 1, -1
+ IF( B( K, J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ B( K, J ) = B( K, J )/A( K, K )
+ DO 40, I = 1, K - 1
+ B( I, J ) = B( I, J ) - B( K, J )*A( I, K )
+ 40 CONTINUE
+ END IF
+ 50 CONTINUE
+ 60 CONTINUE
+ ELSE
+ DO 100, J = 1, N
+ IF( ALPHA.NE.ONE )THEN
+ DO 70, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 70 CONTINUE
+ END IF
+ DO 90 K = 1, M
+ IF( B( K, J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ B( K, J ) = B( K, J )/A( K, K )
+ DO 80, I = K + 1, M
+ B( I, J ) = B( I, J ) - B( K, J )*A( I, K )
+ 80 CONTINUE
+ END IF
+ 90 CONTINUE
+ 100 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*inv( A' )*B
+* or B := alpha*inv( conjg( A' ) )*B.
+*
+ IF( UPPER )THEN
+ DO 140, J = 1, N
+ DO 130, I = 1, M
+ TEMP = ALPHA*B( I, J )
+ IF( NOCONJ )THEN
+ DO 110, K = 1, I - 1
+ TEMP = TEMP - A( K, I )*B( K, J )
+ 110 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( I, I )
+ ELSE
+ DO 120, K = 1, I - 1
+ TEMP = TEMP - DCONJG( A( K, I ) )*B( K, J )
+ 120 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( I, I ) )
+ END IF
+ B( I, J ) = TEMP
+ 130 CONTINUE
+ 140 CONTINUE
+ ELSE
+ DO 180, J = 1, N
+ DO 170, I = M, 1, -1
+ TEMP = ALPHA*B( I, J )
+ IF( NOCONJ )THEN
+ DO 150, K = I + 1, M
+ TEMP = TEMP - A( K, I )*B( K, J )
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( I, I )
+ ELSE
+ DO 160, K = I + 1, M
+ TEMP = TEMP - DCONJG( A( K, I ) )*B( K, J )
+ 160 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( I, I ) )
+ END IF
+ B( I, J ) = TEMP
+ 170 CONTINUE
+ 180 CONTINUE
+ END IF
+ END IF
+ ELSE
+ IF( LSAME( TRANSA, 'N' ) )THEN
+*
+* Form B := alpha*B*inv( A ).
+*
+ IF( UPPER )THEN
+ DO 230, J = 1, N
+ IF( ALPHA.NE.ONE )THEN
+ DO 190, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 190 CONTINUE
+ END IF
+ DO 210, K = 1, J - 1
+ IF( A( K, J ).NE.ZERO )THEN
+ DO 200, I = 1, M
+ B( I, J ) = B( I, J ) - A( K, J )*B( I, K )
+ 200 CONTINUE
+ END IF
+ 210 CONTINUE
+ IF( NOUNIT )THEN
+ TEMP = ONE/A( J, J )
+ DO 220, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 220 CONTINUE
+ END IF
+ 230 CONTINUE
+ ELSE
+ DO 280, J = N, 1, -1
+ IF( ALPHA.NE.ONE )THEN
+ DO 240, I = 1, M
+ B( I, J ) = ALPHA*B( I, J )
+ 240 CONTINUE
+ END IF
+ DO 260, K = J + 1, N
+ IF( A( K, J ).NE.ZERO )THEN
+ DO 250, I = 1, M
+ B( I, J ) = B( I, J ) - A( K, J )*B( I, K )
+ 250 CONTINUE
+ END IF
+ 260 CONTINUE
+ IF( NOUNIT )THEN
+ TEMP = ONE/A( J, J )
+ DO 270, I = 1, M
+ B( I, J ) = TEMP*B( I, J )
+ 270 CONTINUE
+ END IF
+ 280 CONTINUE
+ END IF
+ ELSE
+*
+* Form B := alpha*B*inv( A' )
+* or B := alpha*B*inv( conjg( A' ) ).
+*
+ IF( UPPER )THEN
+ DO 330, K = N, 1, -1
+ IF( NOUNIT )THEN
+ IF( NOCONJ )THEN
+ TEMP = ONE/A( K, K )
+ ELSE
+ TEMP = ONE/DCONJG( A( K, K ) )
+ END IF
+ DO 290, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 290 CONTINUE
+ END IF
+ DO 310, J = 1, K - 1
+ IF( A( J, K ).NE.ZERO )THEN
+ IF( NOCONJ )THEN
+ TEMP = A( J, K )
+ ELSE
+ TEMP = DCONJG( A( J, K ) )
+ END IF
+ DO 300, I = 1, M
+ B( I, J ) = B( I, J ) - TEMP*B( I, K )
+ 300 CONTINUE
+ END IF
+ 310 CONTINUE
+ IF( ALPHA.NE.ONE )THEN
+ DO 320, I = 1, M
+ B( I, K ) = ALPHA*B( I, K )
+ 320 CONTINUE
+ END IF
+ 330 CONTINUE
+ ELSE
+ DO 380, K = 1, N
+ IF( NOUNIT )THEN
+ IF( NOCONJ )THEN
+ TEMP = ONE/A( K, K )
+ ELSE
+ TEMP = ONE/DCONJG( A( K, K ) )
+ END IF
+ DO 340, I = 1, M
+ B( I, K ) = TEMP*B( I, K )
+ 340 CONTINUE
+ END IF
+ DO 360, J = K + 1, N
+ IF( A( J, K ).NE.ZERO )THEN
+ IF( NOCONJ )THEN
+ TEMP = A( J, K )
+ ELSE
+ TEMP = DCONJG( A( J, K ) )
+ END IF
+ DO 350, I = 1, M
+ B( I, J ) = B( I, J ) - TEMP*B( I, K )
+ 350 CONTINUE
+ END IF
+ 360 CONTINUE
+ IF( ALPHA.NE.ONE )THEN
+ DO 370, I = 1, M
+ B( I, K ) = ALPHA*B( I, K )
+ 370 CONTINUE
+ END IF
+ 380 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTRSM .
+*
+ END
diff --git a/src/fortran/blas/ztrsv.f b/src/fortran/blas/ztrsv.f
new file mode 100644
index 0000000..d0a57c4
--- /dev/null
+++ b/src/fortran/blas/ztrsv.f
@@ -0,0 +1,324 @@
+ SUBROUTINE ZTRSV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )
+* .. Scalar Arguments ..
+ INTEGER INCX, LDA, N
+ CHARACTER*1 DIAG, TRANS, UPLO
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), X( * )
+* ..
+*
+* Purpose
+* =======
+*
+* ZTRSV solves one of the systems of equations
+*
+* A*x = b, or A'*x = b, or conjg( A' )*x = b,
+*
+* where b and x are n element vectors and A is an n by n unit, or
+* non-unit, upper or lower triangular matrix.
+*
+* No test for singularity or near-singularity is included in this
+* routine. Such tests must be performed before calling this routine.
+*
+* Parameters
+* ==========
+*
+* UPLO - CHARACTER*1.
+* On entry, UPLO specifies whether the matrix is an upper or
+* lower triangular matrix as follows:
+*
+* UPLO = 'U' or 'u' A is an upper triangular matrix.
+*
+* UPLO = 'L' or 'l' A is a lower triangular matrix.
+*
+* Unchanged on exit.
+*
+* TRANS - CHARACTER*1.
+* On entry, TRANS specifies the equations to be solved as
+* follows:
+*
+* TRANS = 'N' or 'n' A*x = b.
+*
+* TRANS = 'T' or 't' A'*x = b.
+*
+* TRANS = 'C' or 'c' conjg( A' )*x = b.
+*
+* Unchanged on exit.
+*
+* DIAG - CHARACTER*1.
+* On entry, DIAG specifies whether or not A is unit
+* triangular as follows:
+*
+* DIAG = 'U' or 'u' A is assumed to be unit triangular.
+*
+* DIAG = 'N' or 'n' A is not assumed to be unit
+* triangular.
+*
+* Unchanged on exit.
+*
+* N - INTEGER.
+* On entry, N specifies the order of the matrix A.
+* N must be at least zero.
+* Unchanged on exit.
+*
+* A - COMPLEX*16 array of DIMENSION ( LDA, n ).
+* Before entry with UPLO = 'U' or 'u', the leading n by n
+* upper triangular part of the array A must contain the upper
+* triangular matrix and the strictly lower triangular part of
+* A is not referenced.
+* Before entry with UPLO = 'L' or 'l', the leading n by n
+* lower triangular part of the array A must contain the lower
+* triangular matrix and the strictly upper triangular part of
+* A is not referenced.
+* Note that when DIAG = 'U' or 'u', the diagonal elements of
+* A are not referenced either, but are assumed to be unity.
+* Unchanged on exit.
+*
+* LDA - INTEGER.
+* On entry, LDA specifies the first dimension of A as declared
+* in the calling (sub) program. LDA must be at least
+* max( 1, n ).
+* Unchanged on exit.
+*
+* X - COMPLEX*16 array of dimension at least
+* ( 1 + ( n - 1 )*abs( INCX ) ).
+* Before entry, the incremented array X must contain the n
+* element right-hand side vector b. On exit, X is overwritten
+* with the solution vector x.
+*
+* INCX - INTEGER.
+* On entry, INCX specifies the increment for the elements of
+* X. INCX must not be zero.
+* Unchanged on exit.
+*
+*
+* Level 2 Blas routine.
+*
+* -- Written on 22-October-1986.
+* Jack Dongarra, Argonne National Lab.
+* Jeremy Du Croz, Nag Central Office.
+* Sven Hammarling, Nag Central Office.
+* Richard Hanson, Sandia National Labs.
+*
+*
+* .. Parameters ..
+ COMPLEX*16 ZERO
+ PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) )
+* .. Local Scalars ..
+ COMPLEX*16 TEMP
+ INTEGER I, INFO, IX, J, JX, KX
+ LOGICAL NOCONJ, NOUNIT
+* .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+* .. External Subroutines ..
+ EXTERNAL XERBLA
+* .. Intrinsic Functions ..
+ INTRINSIC DCONJG, MAX
+* ..
+* .. Executable Statements ..
+*
+* Test the input parameters.
+*
+ INFO = 0
+ IF ( .NOT.LSAME( UPLO , 'U' ).AND.
+ $ .NOT.LSAME( UPLO , 'L' ) )THEN
+ INFO = 1
+ ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND.
+ $ .NOT.LSAME( TRANS, 'T' ).AND.
+ $ .NOT.LSAME( TRANS, 'C' ) )THEN
+ INFO = 2
+ ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND.
+ $ .NOT.LSAME( DIAG , 'N' ) )THEN
+ INFO = 3
+ ELSE IF( N.LT.0 )THEN
+ INFO = 4
+ ELSE IF( LDA.LT.MAX( 1, N ) )THEN
+ INFO = 6
+ ELSE IF( INCX.EQ.0 )THEN
+ INFO = 8
+ END IF
+ IF( INFO.NE.0 )THEN
+ CALL XERBLA( 'ZTRSV ', INFO )
+ RETURN
+ END IF
+*
+* Quick return if possible.
+*
+ IF( N.EQ.0 )
+ $ RETURN
+*
+ NOCONJ = LSAME( TRANS, 'T' )
+ NOUNIT = LSAME( DIAG , 'N' )
+*
+* Set up the start point in X if the increment is not unity. This
+* will be ( N - 1 )*INCX too small for descending loops.
+*
+ IF( INCX.LE.0 )THEN
+ KX = 1 - ( N - 1 )*INCX
+ ELSE IF( INCX.NE.1 )THEN
+ KX = 1
+ END IF
+*
+* Start the operations. In this version the elements of A are
+* accessed sequentially with one pass through A.
+*
+ IF( LSAME( TRANS, 'N' ) )THEN
+*
+* Form x := inv( A )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 20, J = N, 1, -1
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( J, J )
+ TEMP = X( J )
+ DO 10, I = J - 1, 1, -1
+ X( I ) = X( I ) - TEMP*A( I, J )
+ 10 CONTINUE
+ END IF
+ 20 CONTINUE
+ ELSE
+ JX = KX + ( N - 1 )*INCX
+ DO 40, J = N, 1, -1
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( J, J )
+ TEMP = X( JX )
+ IX = JX
+ DO 30, I = J - 1, 1, -1
+ IX = IX - INCX
+ X( IX ) = X( IX ) - TEMP*A( I, J )
+ 30 CONTINUE
+ END IF
+ JX = JX - INCX
+ 40 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 60, J = 1, N
+ IF( X( J ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( J ) = X( J )/A( J, J )
+ TEMP = X( J )
+ DO 50, I = J + 1, N
+ X( I ) = X( I ) - TEMP*A( I, J )
+ 50 CONTINUE
+ END IF
+ 60 CONTINUE
+ ELSE
+ JX = KX
+ DO 80, J = 1, N
+ IF( X( JX ).NE.ZERO )THEN
+ IF( NOUNIT )
+ $ X( JX ) = X( JX )/A( J, J )
+ TEMP = X( JX )
+ IX = JX
+ DO 70, I = J + 1, N
+ IX = IX + INCX
+ X( IX ) = X( IX ) - TEMP*A( I, J )
+ 70 CONTINUE
+ END IF
+ JX = JX + INCX
+ 80 CONTINUE
+ END IF
+ END IF
+ ELSE
+*
+* Form x := inv( A' )*x or x := inv( conjg( A' ) )*x.
+*
+ IF( LSAME( UPLO, 'U' ) )THEN
+ IF( INCX.EQ.1 )THEN
+ DO 110, J = 1, N
+ TEMP = X( J )
+ IF( NOCONJ )THEN
+ DO 90, I = 1, J - 1
+ TEMP = TEMP - A( I, J )*X( I )
+ 90 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ ELSE
+ DO 100, I = 1, J - 1
+ TEMP = TEMP - DCONJG( A( I, J ) )*X( I )
+ 100 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( J, J ) )
+ END IF
+ X( J ) = TEMP
+ 110 CONTINUE
+ ELSE
+ JX = KX
+ DO 140, J = 1, N
+ IX = KX
+ TEMP = X( JX )
+ IF( NOCONJ )THEN
+ DO 120, I = 1, J - 1
+ TEMP = TEMP - A( I, J )*X( IX )
+ IX = IX + INCX
+ 120 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ ELSE
+ DO 130, I = 1, J - 1
+ TEMP = TEMP - DCONJG( A( I, J ) )*X( IX )
+ IX = IX + INCX
+ 130 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( J, J ) )
+ END IF
+ X( JX ) = TEMP
+ JX = JX + INCX
+ 140 CONTINUE
+ END IF
+ ELSE
+ IF( INCX.EQ.1 )THEN
+ DO 170, J = N, 1, -1
+ TEMP = X( J )
+ IF( NOCONJ )THEN
+ DO 150, I = N, J + 1, -1
+ TEMP = TEMP - A( I, J )*X( I )
+ 150 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ ELSE
+ DO 160, I = N, J + 1, -1
+ TEMP = TEMP - DCONJG( A( I, J ) )*X( I )
+ 160 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( J, J ) )
+ END IF
+ X( J ) = TEMP
+ 170 CONTINUE
+ ELSE
+ KX = KX + ( N - 1 )*INCX
+ JX = KX
+ DO 200, J = N, 1, -1
+ IX = KX
+ TEMP = X( JX )
+ IF( NOCONJ )THEN
+ DO 180, I = N, J + 1, -1
+ TEMP = TEMP - A( I, J )*X( IX )
+ IX = IX - INCX
+ 180 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/A( J, J )
+ ELSE
+ DO 190, I = N, J + 1, -1
+ TEMP = TEMP - DCONJG( A( I, J ) )*X( IX )
+ IX = IX - INCX
+ 190 CONTINUE
+ IF( NOUNIT )
+ $ TEMP = TEMP/DCONJG( A( J, J ) )
+ END IF
+ X( JX ) = TEMP
+ JX = JX - INCX
+ 200 CONTINUE
+ END IF
+ END IF
+ END IF
+*
+ RETURN
+*
+* End of ZTRSV .
+*
+ END