Merge branch 'xianyi:develop' into issue4128
This commit is contained in:
Martin Kroeker
GitHub
commit
a6e41900fd
|
|
@ -69,7 +69,7 @@ endif
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||||||
# in GCC>=9
|
# in GCC>=9
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||||||
ifeq ($(CORE), NEOVERSEN1)
|
ifeq ($(CORE), NEOVERSEN1)
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||||||
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
|
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
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||||||
ifeq ($(GCCVERSIONGTEQ9), 1)
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ifeq (1, $(filter 1,$(GCCVERSIONGTEQ9) $(ISCLANG)))
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||||||
CCOMMON_OPT += -march=armv8.2-a -mtune=neoverse-n1
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CCOMMON_OPT += -march=armv8.2-a -mtune=neoverse-n1
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ifneq ($(F_COMPILER), NAG)
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ifneq ($(F_COMPILER), NAG)
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||||||
FCOMMON_OPT += -march=armv8.2-a -mtune=neoverse-n1
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FCOMMON_OPT += -march=armv8.2-a -mtune=neoverse-n1
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||||||
|
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@ -92,9 +92,14 @@ endif
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||||||
# in GCC>=10.4
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# in GCC>=10.4
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||||||
ifeq ($(CORE), NEOVERSEV1)
|
ifeq ($(CORE), NEOVERSEV1)
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||||||
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
|
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
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||||||
ifeq ($(GCCVERSIONGTEQ10), 1)
|
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ10) $(ISCLANG)))
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||||||
ifeq (1, $(filter 1,$(GCCMINORVERSIONGTEQ4) $(GCCVERSIONGTEQ11)))
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ifeq (1, $(filter 1,$(GCCMINORVERSIONGTEQ4) $(GCCVERSIONGTEQ11) $(ISCLANG)))
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||||||
CCOMMON_OPT += -march=armv8.4-a+sve -mtune=neoverse-v1
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CCOMMON_OPT += -march=armv8.4-a+sve
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ifeq (1, $(ISCLANG))
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||||||
|
CCOMMON_OPT += -mtune=cortex-x1
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||||||
|
else
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CCOMMON_OPT += -mtune=neoverse-v1
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||||||
|
endif
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ifneq ($(F_COMPILER), NAG)
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ifneq ($(F_COMPILER), NAG)
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||||||
FCOMMON_OPT += -march=armv8.4-a -mtune=neoverse-v1
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FCOMMON_OPT += -march=armv8.4-a -mtune=neoverse-v1
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||||||
endif
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endif
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|
@ -122,8 +127,8 @@ endif
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||||||
# in GCC>=10.4
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# in GCC>=10.4
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||||||
ifeq ($(CORE), NEOVERSEN2)
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ifeq ($(CORE), NEOVERSEN2)
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||||||
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
|
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
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||||||
ifeq ($(GCCVERSIONGTEQ10), 1)
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ifeq (1, $(filter 1,$(GCCVERSIONGTEQ10) $(ISCLANG)))
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||||||
ifeq (1, $(filter 1,$(GCCMINORVERSIONGTEQ4) $(GCCVERSIONGTEQ11)))
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ifeq (1, $(filter 1,$(GCCMINORVERSIONGTEQ4) $(GCCVERSIONGTEQ11) $(ISCLANG)))
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||||||
ifneq ($(OSNAME), Darwin)
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ifneq ($(OSNAME), Darwin)
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||||||
CCOMMON_OPT += -march=armv8.5-a+sve+sve2+bf16 -mtune=neoverse-n2
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CCOMMON_OPT += -march=armv8.5-a+sve+sve2+bf16 -mtune=neoverse-n2
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||||||
else
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else
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@ -155,7 +160,7 @@ endif
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||||||
# Use a53 tunings because a55 is only available in GCC>=8.1
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# Use a53 tunings because a55 is only available in GCC>=8.1
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||||||
ifeq ($(CORE), CORTEXA55)
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ifeq ($(CORE), CORTEXA55)
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||||||
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
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ifeq (1, $(filter 1,$(GCCVERSIONGTEQ7) $(ISCLANG)))
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||||||
ifeq ($(GCCVERSIONGTEQ8), 1)
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ifeq (1, $(filter 1,$(GCCVERSIONGTEQ8) $(ISCLANG)))
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||||||
CCOMMON_OPT += -march=armv8.2-a -mtune=cortex-a55
|
CCOMMON_OPT += -march=armv8.2-a -mtune=cortex-a55
|
||||||
ifneq ($(F_COMPILER), NAG)
|
ifneq ($(F_COMPILER), NAG)
|
||||||
FCOMMON_OPT += -march=armv8.2-a -mtune=cortex-a55
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FCOMMON_OPT += -march=armv8.2-a -mtune=cortex-a55
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||||||
|
|
@ -196,8 +201,13 @@ endif
|
||||||
endif
|
endif
|
||||||
|
|
||||||
ifeq ($(CORE), THUNDERX3T110)
|
ifeq ($(CORE), THUNDERX3T110)
|
||||||
ifeq ($(GCCVERSIONGTEQ10), 1)
|
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ10) $(ISCLANG)))
|
||||||
CCOMMON_OPT += -march=armv8.3-a -mtune=thunderx3t110
|
CCOMMON_OPT += -march=armv8.3-a
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||||||
|
ifeq (0, $(ISCLANG))
|
||||||
|
CCOMMON_OPT += -mtune=thunderx3t110
|
||||||
|
else
|
||||||
|
CCOMMON_OPT += -mtune=thunderx2t99
|
||||||
|
endif
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||||||
ifneq ($(F_COMPILER), NAG)
|
ifneq ($(F_COMPILER), NAG)
|
||||||
FCOMMON_OPT += -march=armv8.3-a -mtune=thunderx3t110
|
FCOMMON_OPT += -march=armv8.3-a -mtune=thunderx3t110
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||||||
endif
|
endif
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||||||
|
|
@ -225,9 +235,12 @@ endif
|
||||||
endif
|
endif
|
||||||
endif
|
endif
|
||||||
|
|
||||||
ifeq ($(GCCVERSIONGTEQ9), 1)
|
ifeq (1, $(filter 1,$(GCCVERSIONGTEQ9) $(ISCLANG)))
|
||||||
ifeq ($(CORE), EMAG8180)
|
ifeq ($(CORE), EMAG8180)
|
||||||
CCOMMON_OPT += -march=armv8-a -mtune=emag
|
CCOMMON_OPT += -march=armv8-a
|
||||||
|
ifeq ($(ISCLANG), 0)
|
||||||
|
CCOMMON_OPT += -mtune=emag
|
||||||
|
endif
|
||||||
ifneq ($(F_COMPILER), NAG)
|
ifneq ($(F_COMPILER), NAG)
|
||||||
FCOMMON_OPT += -march=armv8-a -mtune=emag
|
FCOMMON_OPT += -march=armv8-a -mtune=emag
|
||||||
endif
|
endif
|
||||||
|
|
|
||||||
|
|
@ -9,9 +9,12 @@ AppVeyor: [](https://cirrus-ci.com/github/xianyi/OpenBLAS)
|
Cirrus CI: [](https://cirrus-ci.com/github/xianyi/OpenBLAS)
|
||||||
<!-- Drone CI: [](https://cloud.drone.io/xianyi/OpenBLAS/)-->
|
<!-- Drone CI: [](https://cloud.drone.io/xianyi/OpenBLAS/)-->
|
||||||
|
|
||||||
|
|
||||||
[](https://dev.azure.com/xianyi/OpenBLAS/_build/latest?definitionId=1&branchName=develop)
|
[](https://dev.azure.com/xianyi/OpenBLAS/_build/latest?definitionId=1&branchName=develop)
|
||||||
|
|
||||||
|
OSUOSL POWERCI [](http://powerci.osuosl.org/job/OpenBLAS_gh/job/develop/)
|
||||||
|
|
||||||
|
OSUOSL IBMZ-CI [](http://ibmz-ci.osuosl.org/job/OpenBLAS-Z/job/develop/)
|
||||||
## Introduction
|
## Introduction
|
||||||
|
|
||||||
OpenBLAS is an optimized BLAS (Basic Linear Algebra Subprograms) library based on GotoBLAS2 1.13 BSD version.
|
OpenBLAS is an optimized BLAS (Basic Linear Algebra Subprograms) library based on GotoBLAS2 1.13 BSD version.
|
||||||
|
|
|
||||||
|
|
@ -271,6 +271,19 @@ jobs:
|
||||||
- script: |
|
- script: |
|
||||||
make TARGET=ARMV7 DYNAMIC_ARCH=1 NUM_THREADS=32 HOSTCC=clang NOFORTRAN=1
|
make TARGET=ARMV7 DYNAMIC_ARCH=1 NUM_THREADS=32 HOSTCC=clang NOFORTRAN=1
|
||||||
|
|
||||||
|
- job: OSX_xbuild_DYNAMIC_ARM64
|
||||||
|
pool:
|
||||||
|
vmImage: 'macOS-11'
|
||||||
|
variables:
|
||||||
|
CC: /Applications/Xcode_12.5.1.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/clang
|
||||||
|
CFLAGS: -O2 -Wno-macro-redefined -isysroot /Applications/Xcode_12.5.1.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX11.3.sdk -arch arm64
|
||||||
|
steps:
|
||||||
|
- script: |
|
||||||
|
ls /Applications/Xcode_12.5.1.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs
|
||||||
|
/Applications/Xcode_12.5.1.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/clang -arch arm64 --print-supported-cpus
|
||||||
|
/Applications/Xcode_11.7.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/clang --version
|
||||||
|
make TARGET=ARMV8 DYNAMIC_ARCH=1 NUM_THREADS=32 HOSTCC=clang NOFORTRAN=1
|
||||||
|
|
||||||
- job: ALPINE_MUSL
|
- job: ALPINE_MUSL
|
||||||
pool:
|
pool:
|
||||||
vmImage: 'ubuntu-latest'
|
vmImage: 'ubuntu-latest'
|
||||||
|
|
|
||||||
|
|
@ -46,7 +46,7 @@ if (DYNAMIC_ARCH)
|
||||||
if (ARM64)
|
if (ARM64)
|
||||||
set(DYNAMIC_CORE ARMV8 CORTEXA53 CORTEXA55 CORTEXA57 CORTEXA72 CORTEXA73 FALKOR THUNDERX THUNDERX2T99 TSV110 EMAG8180 NEOVERSEN1 THUNDERX3T110)
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set(DYNAMIC_CORE ARMV8 CORTEXA53 CORTEXA55 CORTEXA57 CORTEXA72 CORTEXA73 FALKOR THUNDERX THUNDERX2T99 TSV110 EMAG8180 NEOVERSEN1 THUNDERX3T110)
|
||||||
if (${CMAKE_C_COMPILER_VERSION} VERSION_GREATER 9.99)
|
if (${CMAKE_C_COMPILER_VERSION} VERSION_GREATER 9.99)
|
||||||
set(DYNAMIC_CORE "${DYNAMIC_CORE} NEOVERSEV1 NEOVERSEN2")
|
set(DYNAMIC_CORE ${DYNAMIC_CORE} NEOVERSEV1 NEOVERSEN2)
|
||||||
endif ()
|
endif ()
|
||||||
if (DYNAMIC_LIST)
|
if (DYNAMIC_LIST)
|
||||||
set(DYNAMIC_CORE ARMV8 ${DYNAMIC_LIST})
|
set(DYNAMIC_CORE ARMV8 ${DYNAMIC_LIST})
|
||||||
|
|
|
||||||
|
|
@ -187,7 +187,7 @@ set(CLASRC
|
||||||
cposv.f cposvx.f cpotrf2.f cpotri.f cpstrf.f cpstf2.f
|
cposv.f cposvx.f cpotrf2.f cpotri.f cpstrf.f cpstf2.f
|
||||||
cppcon.f cppequ.f cpprfs.f cppsv.f cppsvx.f cpptrf.f cpptri.f cpptrs.f
|
cppcon.f cppequ.f cpprfs.f cppsv.f cppsvx.f cpptrf.f cpptri.f cpptrs.f
|
||||||
cptcon.f cpteqr.f cptrfs.f cptsv.f cptsvx.f cpttrf.f cpttrs.f cptts2.f
|
cptcon.f cpteqr.f cptrfs.f cptsv.f cptsvx.f cpttrf.f cpttrs.f cptts2.f
|
||||||
crot.f cspcon.f csprfs.f cspsv.f
|
crot.f crscl.f cspcon.f csprfs.f cspsv.f
|
||||||
cspsvx.f csptrf.f csptri.f csptrs.f csrscl.f cstedc.f
|
cspsvx.f csptrf.f csptri.f csptrs.f csrscl.f cstedc.f
|
||||||
cstegr.f cstein.f csteqr.f csycon.f
|
cstegr.f cstein.f csteqr.f csycon.f
|
||||||
csyrfs.f csysv.f csysvx.f csytf2.f csytrf.f csytri.f
|
csyrfs.f csysv.f csysvx.f csytf2.f csytrf.f csytri.f
|
||||||
|
|
@ -381,7 +381,7 @@ set(ZLASRC
|
||||||
zposv.f zposvx.f zpotrf2.f zpotri.f zpotrs.f zpstrf.f zpstf2.f
|
zposv.f zposvx.f zpotrf2.f zpotri.f zpotrs.f zpstrf.f zpstf2.f
|
||||||
zppcon.f zppequ.f zpprfs.f zppsv.f zppsvx.f zpptrf.f zpptri.f zpptrs.f
|
zppcon.f zppequ.f zpprfs.f zppsv.f zppsvx.f zpptrf.f zpptri.f zpptrs.f
|
||||||
zptcon.f zpteqr.f zptrfs.f zptsv.f zptsvx.f zpttrf.f zpttrs.f zptts2.f
|
zptcon.f zpteqr.f zptrfs.f zptsv.f zptsvx.f zpttrf.f zpttrs.f zptts2.f
|
||||||
zrot.f zspcon.f zsprfs.f zspsv.f
|
zrot.f zrscl.f zspcon.f zsprfs.f zspsv.f
|
||||||
zspsvx.f zsptrf.f zsptri.f zsptrs.f zdrscl.f zstedc.f
|
zspsvx.f zsptrf.f zsptri.f zsptrs.f zdrscl.f zstedc.f
|
||||||
zstegr.f zstein.f zsteqr.f zsycon.f
|
zstegr.f zstein.f zsteqr.f zsycon.f
|
||||||
zsyrfs.f zsysv.f zsysvx.f zsytf2.f zsytrf.f zsytri.f
|
zsyrfs.f zsysv.f zsysvx.f zsytf2.f zsytrf.f zsytri.f
|
||||||
|
|
@ -686,7 +686,7 @@ set(CLASRC
|
||||||
cposv.c cposvx.c cpotrf2.c cpotri.c cpstrf.c cpstf2.c
|
cposv.c cposvx.c cpotrf2.c cpotri.c cpstrf.c cpstf2.c
|
||||||
cppcon.c cppequ.c cpprfs.c cppsv.c cppsvx.c cpptrf.c cpptri.c cpptrs.c
|
cppcon.c cppequ.c cpprfs.c cppsv.c cppsvx.c cpptrf.c cpptri.c cpptrs.c
|
||||||
cptcon.c cpteqr.c cptrfs.c cptsv.c cptsvx.c cpttrf.c cpttrs.c cptts2.c
|
cptcon.c cpteqr.c cptrfs.c cptsv.c cptsvx.c cpttrf.c cpttrs.c cptts2.c
|
||||||
crot.c cspcon.c csprfs.c cspsv.c
|
crot.c crscl.c cspcon.c csprfs.c cspsv.c
|
||||||
cspsvx.c csptrf.c csptri.c csptrs.c csrscl.c cstedc.c
|
cspsvx.c csptrf.c csptri.c csptrs.c csrscl.c cstedc.c
|
||||||
cstegr.c cstein.c csteqr.c csycon.c
|
cstegr.c cstein.c csteqr.c csycon.c
|
||||||
csyrfs.c csysv.c csysvx.c csytf2.c csytrf.c csytri.c
|
csyrfs.c csysv.c csysvx.c csytf2.c csytrf.c csytri.c
|
||||||
|
|
@ -878,7 +878,7 @@ set(ZLASRC
|
||||||
zposv.c zposvx.c zpotrf2.c zpotri.c zpotrs.c zpstrf.c zpstf2.c
|
zposv.c zposvx.c zpotrf2.c zpotri.c zpotrs.c zpstrf.c zpstf2.c
|
||||||
zppcon.c zppequ.c zpprfs.c zppsv.c zppsvx.c zpptrf.c zpptri.c zpptrs.c
|
zppcon.c zppequ.c zpprfs.c zppsv.c zppsvx.c zpptrf.c zpptri.c zpptrs.c
|
||||||
zptcon.c zpteqr.c zptrfs.c zptsv.c zptsvx.c zpttrf.c zpttrs.c zptts2.c
|
zptcon.c zpteqr.c zptrfs.c zptsv.c zptsvx.c zpttrf.c zpttrs.c zptts2.c
|
||||||
zrot.c zspcon.c zsprfs.c zspsv.c
|
zrot.c zrscl.c zspcon.c zsprfs.c zspsv.c
|
||||||
zspsvx.c zsptrf.c zsptri.c zsptrs.c zdrscl.c zstedc.c
|
zspsvx.c zsptrf.c zsptri.c zsptrs.c zdrscl.c zstedc.c
|
||||||
zstegr.c zstein.c zsteqr.c zsycon.c
|
zstegr.c zstein.c zsteqr.c zsycon.c
|
||||||
zsyrfs.c zsysv.c zsysvx.c zsytf2.c zsytrf.c zsytri.c
|
zsyrfs.c zsysv.c zsysvx.c zsytf2.c zsytrf.c zsytri.c
|
||||||
|
|
|
||||||
|
|
@ -280,7 +280,29 @@ if (DEFINED TARGET)
|
||||||
if (${TARGET} STREQUAL POWER8)
|
if (${TARGET} STREQUAL POWER8)
|
||||||
set (KERNEL_DEFINITIONS "${KERNEL_DEFINITIONS} -mcpu=power8 -mtune=power8 -mvsx -fno-fast-math")
|
set (KERNEL_DEFINITIONS "${KERNEL_DEFINITIONS} -mcpu=power8 -mtune=power8 -mvsx -fno-fast-math")
|
||||||
endif()
|
endif()
|
||||||
|
|
||||||
|
if (${TARGET} STREQUAL NEOVERSEV1)
|
||||||
|
execute_process(COMMAND ${CMAKE_C_COMPILER} -dumpversion OUTPUT_VARIABLE GCC_VERSION)
|
||||||
|
if (${GCC_VERSION} VERSION_GREATER 10.4 OR ${GCC_VERSION} VERSION_EQUAL 10.4)
|
||||||
|
set (KERNEL_DEFINITIONS "${KERNEL_DEFINITIONS} -march=armv8.4-a+sve -mtune=neoverse-v1")
|
||||||
|
else ()
|
||||||
|
message(FATAL_ERROR "Compiler ${CMAKE_C_COMPILER} ${GCC_VERSION} does not support Neoverse V1.")
|
||||||
|
endif()
|
||||||
|
endif()
|
||||||
|
if (${TARGET} STREQUAL NEOVERSEN2)
|
||||||
|
execute_process(COMMAND ${CMAKE_C_COMPILER} -dumpversion OUTPUT_VARIABLE GCC_VERSION)
|
||||||
|
if (${GCC_VERSION} VERSION_GREATER 10.4 OR ${GCC_VERSION} VERSION_EQUAL 10.4)
|
||||||
|
set (KERNEL_DEFINITIONS "${KERNEL_DEFINITIONS} -march=armv8.5-a+sve+sve2+bf16 -mtune=neoverse-n2")
|
||||||
|
else ()
|
||||||
|
message(FATAL_ERROR "Compiler $${CMAKE_C_COMPILER} {GCC_VERSION} does not support Neoverse N2.")
|
||||||
|
endif()
|
||||||
|
endif()
|
||||||
|
if (${TARGET} STREQUAL ARMV8SVE)
|
||||||
|
set (KERNEL_DEFINITIONS "${KERNEL_DEFINITIONS} -march=armv8.2-a+sve")
|
||||||
|
endif()
|
||||||
|
|
||||||
endif()
|
endif()
|
||||||
|
|
||||||
if (DEFINED BINARY)
|
if (DEFINED BINARY)
|
||||||
message(STATUS "Compiling a ${BINARY}-bit binary.")
|
message(STATUS "Compiling a ${BINARY}-bit binary.")
|
||||||
endif ()
|
endif ()
|
||||||
|
|
|
||||||
|
|
@ -83,6 +83,19 @@ static inline int blas_quickdivide(blasint x, blasint y){
|
||||||
return x / y;
|
return x / y;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
#ifndef NO_AFFINITY
|
||||||
|
static inline int WhereAmI(void){
|
||||||
|
int ret = 0, counter = 0;
|
||||||
|
__asm__ volatile (
|
||||||
|
"rdtimel.w %[counter], %[id]"
|
||||||
|
: [id]"=r"(ret), [counter]"=r"(counter)
|
||||||
|
:
|
||||||
|
: "memory"
|
||||||
|
);
|
||||||
|
return ret;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
#define GET_IMAGE(res) __asm__ __volatile__("fmov.d %0, $f2" : "=f"(res) : : "memory")
|
#define GET_IMAGE(res) __asm__ __volatile__("fmov.d %0, $f2" : "=f"(res) : : "memory")
|
||||||
#else
|
#else
|
||||||
|
|
|
||||||
|
|
@ -100,13 +100,13 @@ void CNAME( enum CBLAS_ORDER CORDER, enum CBLAS_TRANSPOSE CTRANS, blasint crows,
|
||||||
|
|
||||||
if ( order == BlasColMajor)
|
if ( order == BlasColMajor)
|
||||||
{
|
{
|
||||||
if ( trans == BlasNoTrans && *ldb < *rows ) info = 9;
|
if ( trans == BlasNoTrans && *ldb < *rows ) info = 8;
|
||||||
if ( trans == BlasTrans && *ldb < *cols ) info = 9;
|
if ( trans == BlasTrans && *ldb < *cols ) info = 8;
|
||||||
}
|
}
|
||||||
if ( order == BlasRowMajor)
|
if ( order == BlasRowMajor)
|
||||||
{
|
{
|
||||||
if ( trans == BlasNoTrans && *ldb < *cols ) info = 9;
|
if ( trans == BlasNoTrans && *ldb < *cols ) info = 8;
|
||||||
if ( trans == BlasTrans && *ldb < *rows ) info = 9;
|
if ( trans == BlasTrans && *ldb < *rows ) info = 8;
|
||||||
}
|
}
|
||||||
|
|
||||||
if ( order == BlasColMajor && *lda < *rows ) info = 7;
|
if ( order == BlasColMajor && *lda < *rows ) info = 7;
|
||||||
|
|
|
||||||
|
|
@ -50,8 +50,8 @@ static FLOAT dot_kernel_sve(BLASLONG n, FLOAT *x, FLOAT *y) {
|
||||||
BLASLONG sve_width = SVE_WIDTH;
|
BLASLONG sve_width = SVE_WIDTH;
|
||||||
|
|
||||||
for (BLASLONG i = 0; i < n; i += sve_width * 2) {
|
for (BLASLONG i = 0; i < n; i += sve_width * 2) {
|
||||||
svbool_t pg_a = SVE_WHILELT(i, n);
|
svbool_t pg_a = SVE_WHILELT((uint64_t)i, (uint64_t)n);
|
||||||
svbool_t pg_b = SVE_WHILELT(i + sve_width, n);
|
svbool_t pg_b = SVE_WHILELT((uint64_t)(i + sve_width), (uint64_t)n);
|
||||||
|
|
||||||
SVE_TYPE x_vec_a = svld1(pg_a, &x[i]);
|
SVE_TYPE x_vec_a = svld1(pg_a, &x[i]);
|
||||||
SVE_TYPE y_vec_a = svld1(pg_a, &y[i]);
|
SVE_TYPE y_vec_a = svld1(pg_a, &y[i]);
|
||||||
|
|
|
||||||
|
|
@ -107,7 +107,7 @@ int CNAME(BLASLONG m, BLASLONG n, IFLOAT *a, BLASLONG lda, IFLOAT *b) {
|
||||||
BLASLONG remaining_n = n - single_vectors_n;
|
BLASLONG remaining_n = n - single_vectors_n;
|
||||||
if (remaining_n) {
|
if (remaining_n) {
|
||||||
a_offset_inner = a_offset;
|
a_offset_inner = a_offset;
|
||||||
svbool_t pg = SV_WHILE(0L, remaining_n);
|
svbool_t pg = SV_WHILE((uint64_t)0L, (uint64_t)remaining_n);
|
||||||
uint64_t active = remaining_n;
|
uint64_t active = remaining_n;
|
||||||
uint64_t i_cnt = m >> 2;
|
uint64_t i_cnt = m >> 2;
|
||||||
while (i_cnt--) {
|
while (i_cnt--) {
|
||||||
|
|
|
||||||
|
|
@ -100,7 +100,7 @@ int CNAME(BLASLONG m, BLASLONG n, IFLOAT *a, BLASLONG lda, IFLOAT *b){
|
||||||
BLASLONG remaining_n = n - single_vectors_n;
|
BLASLONG remaining_n = n - single_vectors_n;
|
||||||
if (remaining_n) {
|
if (remaining_n) {
|
||||||
a_offset_inner = a_offset;
|
a_offset_inner = a_offset;
|
||||||
svbool_t pg = SV_WHILE(0L, remaining_n);
|
svbool_t pg = SV_WHILE((uint64_t)0L, (uint64_t)remaining_n);
|
||||||
uint64_t active = remaining_n;
|
uint64_t active = remaining_n;
|
||||||
uint64_t i_cnt = m >> 2;
|
uint64_t i_cnt = m >> 2;
|
||||||
while (i_cnt--) {
|
while (i_cnt--) {
|
||||||
|
|
|
||||||
|
|
@ -52,11 +52,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
FLOAT *ao;
|
FLOAT *ao;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
svint64_t index = svindex_s64(0LL, lda);
|
svint64_t index = svindex_s64(0LL, lda);
|
||||||
svbool_t pn = svwhilelt_b64(js, n);
|
svbool_t pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b64(svptrue_b64(), pn);
|
int n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
#else
|
#else
|
||||||
svint32_t index = svindex_s32(0, lda);
|
svint32_t index = svindex_s32(0, lda);
|
||||||
svbool_t pn = svwhilelt_b32(js, n);
|
svbool_t pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b32(svptrue_b32(), pn);
|
int n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
#endif
|
#endif
|
||||||
do
|
do
|
||||||
|
|
@ -123,11 +123,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
posY += n_active;
|
posY += n_active;
|
||||||
js += n_active;
|
js += n_active;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
pn = svwhilelt_b64(js, n);
|
pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b64(svptrue_b64(), pn);
|
n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
} while (svptest_any(svptrue_b64(), pn));
|
} while (svptest_any(svptrue_b64(), pn));
|
||||||
#else
|
#else
|
||||||
pn = svwhilelt_b32(js, n);
|
pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b32(svptrue_b32(), pn);
|
n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
} while (svptest_any(svptrue_b32(), pn));
|
} while (svptest_any(svptrue_b32(), pn));
|
||||||
#endif
|
#endif
|
||||||
|
|
|
||||||
|
|
@ -51,10 +51,10 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
FLOAT *ao;
|
FLOAT *ao;
|
||||||
js = 0;
|
js = 0;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
svbool_t pn = svwhilelt_b64(js, n);
|
svbool_t pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b64(svptrue_b64(), pn);
|
int n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
#else
|
#else
|
||||||
svbool_t pn = svwhilelt_b32(js, n);
|
svbool_t pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b32(svptrue_b32(), pn);
|
int n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
#endif
|
#endif
|
||||||
do
|
do
|
||||||
|
|
@ -122,11 +122,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
posY += n_active;
|
posY += n_active;
|
||||||
js += n_active;
|
js += n_active;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
pn = svwhilelt_b64(js, n);
|
pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b64(svptrue_b64(), pn);
|
n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
} while (svptest_any(svptrue_b64(), pn));
|
} while (svptest_any(svptrue_b64(), pn));
|
||||||
#else
|
#else
|
||||||
pn = svwhilelt_b32(js, n);
|
pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b32(svptrue_b32(), pn);
|
n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
} while (svptest_any(svptrue_b32(), pn));
|
} while (svptest_any(svptrue_b32(), pn));
|
||||||
#endif
|
#endif
|
||||||
|
|
|
||||||
|
|
@ -52,11 +52,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
FLOAT *ao;
|
FLOAT *ao;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
svint64_t index = svindex_s64(0LL, lda);
|
svint64_t index = svindex_s64(0LL, lda);
|
||||||
svbool_t pn = svwhilelt_b64(js, n);
|
svbool_t pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b64(svptrue_b64(), pn);
|
int n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
#else
|
#else
|
||||||
svint32_t index = svindex_s32(0, lda);
|
svint32_t index = svindex_s32(0, lda);
|
||||||
svbool_t pn = svwhilelt_b32(js, n);
|
svbool_t pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b32(svptrue_b32(), pn);
|
int n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
#endif
|
#endif
|
||||||
do
|
do
|
||||||
|
|
@ -123,11 +123,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
posY += n_active;
|
posY += n_active;
|
||||||
js += n_active;
|
js += n_active;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
pn = svwhilelt_b64(js, n);
|
pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b64(svptrue_b64(), pn);
|
n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
} while (svptest_any(svptrue_b64(), pn));
|
} while (svptest_any(svptrue_b64(), pn));
|
||||||
#else
|
#else
|
||||||
pn = svwhilelt_b32(js, n);
|
pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b32(svptrue_b32(), pn);
|
n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
} while (svptest_any(svptrue_b32(), pn));
|
} while (svptest_any(svptrue_b32(), pn));
|
||||||
#endif
|
#endif
|
||||||
|
|
|
||||||
|
|
@ -51,10 +51,10 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
FLOAT *ao;
|
FLOAT *ao;
|
||||||
js = 0;
|
js = 0;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
svbool_t pn = svwhilelt_b64(js, n);
|
svbool_t pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b64(svptrue_b64(), pn);
|
int n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
#else
|
#else
|
||||||
svbool_t pn = svwhilelt_b32(js, n);
|
svbool_t pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b32(svptrue_b32(), pn);
|
int n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
#endif
|
#endif
|
||||||
do
|
do
|
||||||
|
|
@ -121,11 +121,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG posX, BLASLON
|
||||||
posY += n_active;
|
posY += n_active;
|
||||||
js += n_active;
|
js += n_active;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
pn = svwhilelt_b64(js, n);
|
pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b64(svptrue_b64(), pn);
|
n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
} while (svptest_any(svptrue_b64(), pn));
|
} while (svptest_any(svptrue_b64(), pn));
|
||||||
#else
|
#else
|
||||||
pn = svwhilelt_b32(js, n);
|
pn = svwhilelt_b32((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b32(svptrue_b32(), pn);
|
n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
} while (svptest_any(svptrue_b32(), pn));
|
} while (svptest_any(svptrue_b32(), pn));
|
||||||
#endif
|
#endif
|
||||||
|
|
|
||||||
|
|
@ -56,13 +56,13 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG offset, FLOAT
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
int64_t js = 0;
|
int64_t js = 0;
|
||||||
svint64_t index = svindex_s64(0LL, lda);
|
svint64_t index = svindex_s64(0LL, lda);
|
||||||
svbool_t pn = svwhilelt_b64(js, n);
|
svbool_t pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
int n_active = svcntp_b64(svptrue_b64(), pn);
|
int n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
#else
|
#else
|
||||||
int32_t N = n;
|
int32_t N = n;
|
||||||
int32_t js = 0;
|
int32_t js = 0;
|
||||||
svint32_t index = svindex_s32(0, lda);
|
svint32_t index = svindex_s32(0, lda);
|
||||||
svbool_t pn = svwhilelt_b32(js, N);
|
svbool_t pn = svwhilelt_b32((uint32_t)js, (uint32_t)N);
|
||||||
int n_active = svcntp_b32(svptrue_b32(), pn);
|
int n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
#endif
|
#endif
|
||||||
do {
|
do {
|
||||||
|
|
@ -106,11 +106,11 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG offset, FLOAT
|
||||||
|
|
||||||
js += n_active;
|
js += n_active;
|
||||||
#ifdef DOUBLE
|
#ifdef DOUBLE
|
||||||
pn = svwhilelt_b64(js, n);
|
pn = svwhilelt_b64((uint64_t)js, (uint64_t)n);
|
||||||
n_active = svcntp_b64(svptrue_b64(), pn);
|
n_active = svcntp_b64(svptrue_b64(), pn);
|
||||||
} while (svptest_any(svptrue_b64(), pn));
|
} while (svptest_any(svptrue_b64(), pn));
|
||||||
#else
|
#else
|
||||||
pn = svwhilelt_b32(js, N);
|
pn = svwhilelt_b32((uint32_t)js, (uint32_t)N);
|
||||||
n_active = svcntp_b32(svptrue_b32(), pn);
|
n_active = svcntp_b32(svptrue_b32(), pn);
|
||||||
} while (svptest_any(svptrue_b32(), pn));
|
} while (svptest_any(svptrue_b32(), pn));
|
||||||
#endif
|
#endif
|
||||||
|
|
|
||||||
|
|
@ -43,7 +43,7 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG offset, FLOAT
|
||||||
|
|
||||||
BLASLONG i, ii, j, jj;
|
BLASLONG i, ii, j, jj;
|
||||||
|
|
||||||
FLOAT data01, data02;
|
FLOAT data01=0.0, data02=0.0;
|
||||||
FLOAT *a1;
|
FLOAT *a1;
|
||||||
|
|
||||||
lda *= 2;
|
lda *= 2;
|
||||||
|
|
|
||||||
|
|
@ -47,6 +47,7 @@ int CNAME(BLASLONG m, BLASLONG n, FLOAT *a, BLASLONG lda, BLASLONG offset, FLOAT
|
||||||
FLOAT data05, data06, data07, data08;
|
FLOAT data05, data06, data07, data08;
|
||||||
FLOAT *a1, *a2;
|
FLOAT *a1, *a2;
|
||||||
|
|
||||||
|
data01=data02=data07=data08=0.0;
|
||||||
lda *= 2;
|
lda *= 2;
|
||||||
|
|
||||||
jj = offset;
|
jj = offset;
|
||||||
|
|
|
||||||
|
|
@ -58,7 +58,7 @@ lapack_int LAPACKE_clarfb( int matrix_layout, char side, char trans, char direct
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
||||||
LAPACKE_xerbla( "LAPACKE_clarfb", -8 );
|
LAPACKE_xerbla( "LAPACKE_clarfb", -8 );
|
||||||
|
|
|
||||||
|
|
@ -60,7 +60,7 @@ lapack_int LAPACKE_clarfb_work( int matrix_layout, char side, char trans,
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
ldc_t = MAX(1,m);
|
ldc_t = MAX(1,m);
|
||||||
ldt_t = MAX(1,k);
|
ldt_t = MAX(1,k);
|
||||||
|
|
|
||||||
|
|
@ -57,7 +57,7 @@ lapack_int LAPACKE_dlarfb( int matrix_layout, char side, char trans, char direct
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
||||||
LAPACKE_xerbla( "LAPACKE_dlarfb", -8 );
|
LAPACKE_xerbla( "LAPACKE_dlarfb", -8 );
|
||||||
|
|
|
||||||
|
|
@ -59,7 +59,7 @@ lapack_int LAPACKE_dlarfb_work( int matrix_layout, char side, char trans,
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
ldc_t = MAX(1,m);
|
ldc_t = MAX(1,m);
|
||||||
ldt_t = MAX(1,k);
|
ldt_t = MAX(1,k);
|
||||||
|
|
|
||||||
|
|
@ -57,7 +57,7 @@ lapack_int LAPACKE_slarfb( int matrix_layout, char side, char trans, char direct
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
||||||
LAPACKE_xerbla( "LAPACKE_slarfb", -8 );
|
LAPACKE_xerbla( "LAPACKE_slarfb", -8 );
|
||||||
|
|
|
||||||
|
|
@ -59,7 +59,7 @@ lapack_int LAPACKE_slarfb_work( int matrix_layout, char side, char trans,
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
ldc_t = MAX(1,m);
|
ldc_t = MAX(1,m);
|
||||||
ldt_t = MAX(1,k);
|
ldt_t = MAX(1,k);
|
||||||
|
|
|
||||||
|
|
@ -58,7 +58,7 @@ lapack_int LAPACKE_zlarfb( int matrix_layout, char side, char trans, char direct
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
if( ( col && k > nrows_v ) || ( !col && k > ncols_v ) ) {
|
||||||
LAPACKE_xerbla( "LAPACKE_zlarfb", -8 );
|
LAPACKE_xerbla( "LAPACKE_zlarfb", -8 );
|
||||||
|
|
|
||||||
|
|
@ -60,7 +60,7 @@ lapack_int LAPACKE_zlarfb_work( int matrix_layout, char side, char trans,
|
||||||
|
|
||||||
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
nrows_v = ( col && left ) ? m : ( ( col && !left ) ? n : ( !col ? k : 1) );
|
||||||
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
ncols_v = ( !col && left ) ? m : ( ( !col && !left ) ? n : ( col ? k : 1 ) );
|
||||||
uplo = ( ( left && col ) || !( left || col ) ) ? 'l' : 'u';
|
uplo = ( ( forward && col ) || !( forward || col ) ) ? 'l' : 'u';
|
||||||
|
|
||||||
ldc_t = MAX(1,m);
|
ldc_t = MAX(1,m);
|
||||||
ldt_t = MAX(1,k);
|
ldt_t = MAX(1,k);
|
||||||
|
|
|
||||||
|
|
@ -280,7 +280,7 @@ CLASRC_O = \
|
||||||
cposv.o cposvx.o cpotf2.o cpotri.o cpstrf.o cpstf2.o \
|
cposv.o cposvx.o cpotf2.o cpotri.o cpstrf.o cpstf2.o \
|
||||||
cppcon.o cppequ.o cpprfs.o cppsv.o cppsvx.o cpptrf.o cpptri.o cpptrs.o \
|
cppcon.o cppequ.o cpprfs.o cppsv.o cppsvx.o cpptrf.o cpptri.o cpptrs.o \
|
||||||
cptcon.o cpteqr.o cptrfs.o cptsv.o cptsvx.o cpttrf.o cpttrs.o cptts2.o \
|
cptcon.o cpteqr.o cptrfs.o cptsv.o cptsvx.o cpttrf.o cpttrs.o cptts2.o \
|
||||||
crot.o cspcon.o cspmv.o cspr.o csprfs.o cspsv.o \
|
crot.o crscl.o cspcon.o cspmv.o cspr.o csprfs.o cspsv.o \
|
||||||
cspsvx.o csptrf.o csptri.o csptrs.o csrscl.o cstedc.o \
|
cspsvx.o csptrf.o csptri.o csptrs.o csrscl.o cstedc.o \
|
||||||
cstegr.o cstein.o csteqr.o \
|
cstegr.o cstein.o csteqr.o \
|
||||||
csycon.o csymv.o \
|
csycon.o csymv.o \
|
||||||
|
|
@ -488,7 +488,7 @@ ZLASRC_O = \
|
||||||
zposv.o zposvx.o zpotf2.o zpotrf.o zpotri.o zpotrs.o zpstrf.o zpstf2.o \
|
zposv.o zposvx.o zpotf2.o zpotrf.o zpotri.o zpotrs.o zpstrf.o zpstf2.o \
|
||||||
zppcon.o zppequ.o zpprfs.o zppsv.o zppsvx.o zpptrf.o zpptri.o zpptrs.o \
|
zppcon.o zppequ.o zpprfs.o zppsv.o zppsvx.o zpptrf.o zpptri.o zpptrs.o \
|
||||||
zptcon.o zpteqr.o zptrfs.o zptsv.o zptsvx.o zpttrf.o zpttrs.o zptts2.o \
|
zptcon.o zpteqr.o zptrfs.o zptsv.o zptsvx.o zpttrf.o zpttrs.o zptts2.o \
|
||||||
zrot.o zspcon.o zspmv.o zspr.o zsprfs.o zspsv.o \
|
zrot.o zrscl.o zspcon.o zspmv.o zspr.o zsprfs.o zspsv.o \
|
||||||
zspsvx.o zsptrf.o zsptri.o zsptrs.o zdrscl.o zstedc.o \
|
zspsvx.o zsptrf.o zsptri.o zsptrs.o zdrscl.o zstedc.o \
|
||||||
zstegr.o zstein.o zsteqr.o \
|
zstegr.o zstein.o zsteqr.o \
|
||||||
zsycon.o zsymv.o \
|
zsycon.o zsymv.o \
|
||||||
|
|
|
||||||
|
|
@ -170,7 +170,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup complexGEsolve
|
*> \ingroup gelss
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE CGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
SUBROUTINE CGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
||||||
|
|
@ -214,8 +214,7 @@
|
||||||
* .. External Subroutines ..
|
* .. External Subroutines ..
|
||||||
EXTERNAL CBDSQR, CCOPY, CGEBRD, CGELQF, CGEMM, CGEMV,
|
EXTERNAL CBDSQR, CCOPY, CGEBRD, CGELQF, CGEMM, CGEMV,
|
||||||
$ CGEQRF, CLACPY, CLASCL, CLASET, CSRSCL, CUNGBR,
|
$ CGEQRF, CLACPY, CLASCL, CLASET, CSRSCL, CUNGBR,
|
||||||
$ CUNMBR, CUNMLQ, CUNMQR, SLABAD, SLASCL, SLASET,
|
$ CUNMBR, CUNMLQ, CUNMQR, SLASCL, SLASET, XERBLA
|
||||||
$ XERBLA
|
|
||||||
* ..
|
* ..
|
||||||
* .. External Functions ..
|
* .. External Functions ..
|
||||||
INTEGER ILAENV
|
INTEGER ILAENV
|
||||||
|
|
@ -388,7 +387,6 @@
|
||||||
SFMIN = SLAMCH( 'S' )
|
SFMIN = SLAMCH( 'S' )
|
||||||
SMLNUM = SFMIN / EPS
|
SMLNUM = SFMIN / EPS
|
||||||
BIGNUM = ONE / SMLNUM
|
BIGNUM = ONE / SMLNUM
|
||||||
CALL SLABAD( SMLNUM, BIGNUM )
|
|
||||||
*
|
*
|
||||||
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
||||||
*
|
*
|
||||||
|
|
@ -540,7 +538,7 @@
|
||||||
$ LDB, CZERO, WORK, N )
|
$ LDB, CZERO, WORK, N )
|
||||||
CALL CLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL CLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
20 CONTINUE
|
20 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL CGEMV( 'C', N, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
CALL CGEMV( 'C', N, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
||||||
CALL CCOPY( N, WORK, 1, B, 1 )
|
CALL CCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
@ -645,7 +643,7 @@
|
||||||
CALL CLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
CALL CLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
||||||
$ LDB )
|
$ LDB )
|
||||||
40 CONTINUE
|
40 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL CGEMV( 'C', M, M, CONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
CALL CGEMV( 'C', M, M, CONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
||||||
$ 1, CZERO, WORK( IWORK ), 1 )
|
$ 1, CZERO, WORK( IWORK ), 1 )
|
||||||
CALL CCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
CALL CCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
||||||
|
|
@ -737,7 +735,7 @@
|
||||||
$ LDB, CZERO, WORK, N )
|
$ LDB, CZERO, WORK, N )
|
||||||
CALL CLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL CLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
60 CONTINUE
|
60 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL CGEMV( 'C', M, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
CALL CGEMV( 'C', M, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
||||||
CALL CCOPY( N, WORK, 1, B, 1 )
|
CALL CCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
|
||||||
|
|
@ -101,7 +101,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup complexGEcomputational
|
*> \ingroup getf2
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE CGETF2( M, N, A, LDA, IPIV, INFO )
|
SUBROUTINE CGETF2( M, N, A, LDA, IPIV, INFO )
|
||||||
|
|
@ -126,16 +126,14 @@
|
||||||
$ ZERO = ( 0.0E+0, 0.0E+0 ) )
|
$ ZERO = ( 0.0E+0, 0.0E+0 ) )
|
||||||
* ..
|
* ..
|
||||||
* .. Local Scalars ..
|
* .. Local Scalars ..
|
||||||
REAL SFMIN
|
INTEGER J, JP
|
||||||
INTEGER I, J, JP
|
|
||||||
* ..
|
* ..
|
||||||
* .. External Functions ..
|
* .. External Functions ..
|
||||||
REAL SLAMCH
|
|
||||||
INTEGER ICAMAX
|
INTEGER ICAMAX
|
||||||
EXTERNAL SLAMCH, ICAMAX
|
EXTERNAL ICAMAX
|
||||||
* ..
|
* ..
|
||||||
* .. External Subroutines ..
|
* .. External Subroutines ..
|
||||||
EXTERNAL CGERU, CSCAL, CSWAP, XERBLA
|
EXTERNAL CGERU, CRSCL, CSWAP, XERBLA
|
||||||
* ..
|
* ..
|
||||||
* .. Intrinsic Functions ..
|
* .. Intrinsic Functions ..
|
||||||
INTRINSIC MAX, MIN
|
INTRINSIC MAX, MIN
|
||||||
|
|
@ -161,10 +159,6 @@
|
||||||
*
|
*
|
||||||
IF( M.EQ.0 .OR. N.EQ.0 )
|
IF( M.EQ.0 .OR. N.EQ.0 )
|
||||||
$ RETURN
|
$ RETURN
|
||||||
*
|
|
||||||
* Compute machine safe minimum
|
|
||||||
*
|
|
||||||
SFMIN = SLAMCH('S')
|
|
||||||
*
|
*
|
||||||
DO 10 J = 1, MIN( M, N )
|
DO 10 J = 1, MIN( M, N )
|
||||||
*
|
*
|
||||||
|
|
@ -181,15 +175,8 @@
|
||||||
*
|
*
|
||||||
* Compute elements J+1:M of J-th column.
|
* Compute elements J+1:M of J-th column.
|
||||||
*
|
*
|
||||||
IF( J.LT.M ) THEN
|
IF( J.LT.M )
|
||||||
IF( ABS(A( J, J )) .GE. SFMIN ) THEN
|
$ CALL CRSCL( M-J, A( J, J ), A( J+1, J ), 1 )
|
||||||
CALL CSCAL( M-J, ONE / A( J, J ), A( J+1, J ), 1 )
|
|
||||||
ELSE
|
|
||||||
DO 20 I = 1, M-J
|
|
||||||
A( J+I, J ) = A( J+I, J ) / A( J, J )
|
|
||||||
20 CONTINUE
|
|
||||||
END IF
|
|
||||||
END IF
|
|
||||||
*
|
*
|
||||||
ELSE IF( INFO.EQ.0 ) THEN
|
ELSE IF( INFO.EQ.0 ) THEN
|
||||||
*
|
*
|
||||||
|
|
|
||||||
|
|
@ -0,0 +1,735 @@
|
||||||
|
#include <math.h>
|
||||||
|
#include <stdlib.h>
|
||||||
|
#include <string.h>
|
||||||
|
#include <stdio.h>
|
||||||
|
#include <complex.h>
|
||||||
|
#ifdef complex
|
||||||
|
#undef complex
|
||||||
|
#endif
|
||||||
|
#ifdef I
|
||||||
|
#undef I
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#if defined(_WIN64)
|
||||||
|
typedef long long BLASLONG;
|
||||||
|
typedef unsigned long long BLASULONG;
|
||||||
|
#else
|
||||||
|
typedef long BLASLONG;
|
||||||
|
typedef unsigned long BLASULONG;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#ifdef LAPACK_ILP64
|
||||||
|
typedef BLASLONG blasint;
|
||||||
|
#if defined(_WIN64)
|
||||||
|
#define blasabs(x) llabs(x)
|
||||||
|
#else
|
||||||
|
#define blasabs(x) labs(x)
|
||||||
|
#endif
|
||||||
|
#else
|
||||||
|
typedef int blasint;
|
||||||
|
#define blasabs(x) abs(x)
|
||||||
|
#endif
|
||||||
|
|
||||||
|
typedef blasint integer;
|
||||||
|
|
||||||
|
typedef unsigned int uinteger;
|
||||||
|
typedef char *address;
|
||||||
|
typedef short int shortint;
|
||||||
|
typedef float real;
|
||||||
|
typedef double doublereal;
|
||||||
|
typedef struct { real r, i; } complex;
|
||||||
|
typedef struct { doublereal r, i; } doublecomplex;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
|
||||||
|
static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
|
||||||
|
static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
|
||||||
|
static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
|
||||||
|
#else
|
||||||
|
static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
|
||||||
|
static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
|
||||||
|
static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
|
||||||
|
static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
|
||||||
|
#endif
|
||||||
|
#define pCf(z) (*_pCf(z))
|
||||||
|
#define pCd(z) (*_pCd(z))
|
||||||
|
typedef int logical;
|
||||||
|
typedef short int shortlogical;
|
||||||
|
typedef char logical1;
|
||||||
|
typedef char integer1;
|
||||||
|
|
||||||
|
#define TRUE_ (1)
|
||||||
|
#define FALSE_ (0)
|
||||||
|
|
||||||
|
/* Extern is for use with -E */
|
||||||
|
#ifndef Extern
|
||||||
|
#define Extern extern
|
||||||
|
#endif
|
||||||
|
|
||||||
|
/* I/O stuff */
|
||||||
|
|
||||||
|
typedef int flag;
|
||||||
|
typedef int ftnlen;
|
||||||
|
typedef int ftnint;
|
||||||
|
|
||||||
|
/*external read, write*/
|
||||||
|
typedef struct
|
||||||
|
{ flag cierr;
|
||||||
|
ftnint ciunit;
|
||||||
|
flag ciend;
|
||||||
|
char *cifmt;
|
||||||
|
ftnint cirec;
|
||||||
|
} cilist;
|
||||||
|
|
||||||
|
/*internal read, write*/
|
||||||
|
typedef struct
|
||||||
|
{ flag icierr;
|
||||||
|
char *iciunit;
|
||||||
|
flag iciend;
|
||||||
|
char *icifmt;
|
||||||
|
ftnint icirlen;
|
||||||
|
ftnint icirnum;
|
||||||
|
} icilist;
|
||||||
|
|
||||||
|
/*open*/
|
||||||
|
typedef struct
|
||||||
|
{ flag oerr;
|
||||||
|
ftnint ounit;
|
||||||
|
char *ofnm;
|
||||||
|
ftnlen ofnmlen;
|
||||||
|
char *osta;
|
||||||
|
char *oacc;
|
||||||
|
char *ofm;
|
||||||
|
ftnint orl;
|
||||||
|
char *oblnk;
|
||||||
|
} olist;
|
||||||
|
|
||||||
|
/*close*/
|
||||||
|
typedef struct
|
||||||
|
{ flag cerr;
|
||||||
|
ftnint cunit;
|
||||||
|
char *csta;
|
||||||
|
} cllist;
|
||||||
|
|
||||||
|
/*rewind, backspace, endfile*/
|
||||||
|
typedef struct
|
||||||
|
{ flag aerr;
|
||||||
|
ftnint aunit;
|
||||||
|
} alist;
|
||||||
|
|
||||||
|
/* inquire */
|
||||||
|
typedef struct
|
||||||
|
{ flag inerr;
|
||||||
|
ftnint inunit;
|
||||||
|
char *infile;
|
||||||
|
ftnlen infilen;
|
||||||
|
ftnint *inex; /*parameters in standard's order*/
|
||||||
|
ftnint *inopen;
|
||||||
|
ftnint *innum;
|
||||||
|
ftnint *innamed;
|
||||||
|
char *inname;
|
||||||
|
ftnlen innamlen;
|
||||||
|
char *inacc;
|
||||||
|
ftnlen inacclen;
|
||||||
|
char *inseq;
|
||||||
|
ftnlen inseqlen;
|
||||||
|
char *indir;
|
||||||
|
ftnlen indirlen;
|
||||||
|
char *infmt;
|
||||||
|
ftnlen infmtlen;
|
||||||
|
char *inform;
|
||||||
|
ftnint informlen;
|
||||||
|
char *inunf;
|
||||||
|
ftnlen inunflen;
|
||||||
|
ftnint *inrecl;
|
||||||
|
ftnint *innrec;
|
||||||
|
char *inblank;
|
||||||
|
ftnlen inblanklen;
|
||||||
|
} inlist;
|
||||||
|
|
||||||
|
#define VOID void
|
||||||
|
|
||||||
|
union Multitype { /* for multiple entry points */
|
||||||
|
integer1 g;
|
||||||
|
shortint h;
|
||||||
|
integer i;
|
||||||
|
/* longint j; */
|
||||||
|
real r;
|
||||||
|
doublereal d;
|
||||||
|
complex c;
|
||||||
|
doublecomplex z;
|
||||||
|
};
|
||||||
|
|
||||||
|
typedef union Multitype Multitype;
|
||||||
|
|
||||||
|
struct Vardesc { /* for Namelist */
|
||||||
|
char *name;
|
||||||
|
char *addr;
|
||||||
|
ftnlen *dims;
|
||||||
|
int type;
|
||||||
|
};
|
||||||
|
typedef struct Vardesc Vardesc;
|
||||||
|
|
||||||
|
struct Namelist {
|
||||||
|
char *name;
|
||||||
|
Vardesc **vars;
|
||||||
|
int nvars;
|
||||||
|
};
|
||||||
|
typedef struct Namelist Namelist;
|
||||||
|
|
||||||
|
#define abs(x) ((x) >= 0 ? (x) : -(x))
|
||||||
|
#define dabs(x) (fabs(x))
|
||||||
|
#define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
|
||||||
|
#define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
|
||||||
|
#define dmin(a,b) (f2cmin(a,b))
|
||||||
|
#define dmax(a,b) (f2cmax(a,b))
|
||||||
|
#define bit_test(a,b) ((a) >> (b) & 1)
|
||||||
|
#define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
|
||||||
|
#define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
|
||||||
|
|
||||||
|
#define abort_() { sig_die("Fortran abort routine called", 1); }
|
||||||
|
#define c_abs(z) (cabsf(Cf(z)))
|
||||||
|
#define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
#define c_div(c, a, b) {Cf(c)._Val[0] = (Cf(a)._Val[0]/Cf(b)._Val[0]); Cf(c)._Val[1]=(Cf(a)._Val[1]/Cf(b)._Val[1]);}
|
||||||
|
#define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/Cd(b)._Val[1]);}
|
||||||
|
#else
|
||||||
|
#define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
|
||||||
|
#define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
|
||||||
|
#endif
|
||||||
|
#define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
|
||||||
|
#define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
|
||||||
|
#define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
|
||||||
|
//#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
|
||||||
|
#define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
|
||||||
|
#define d_abs(x) (fabs(*(x)))
|
||||||
|
#define d_acos(x) (acos(*(x)))
|
||||||
|
#define d_asin(x) (asin(*(x)))
|
||||||
|
#define d_atan(x) (atan(*(x)))
|
||||||
|
#define d_atn2(x, y) (atan2(*(x),*(y)))
|
||||||
|
#define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
|
||||||
|
#define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
|
||||||
|
#define d_cos(x) (cos(*(x)))
|
||||||
|
#define d_cosh(x) (cosh(*(x)))
|
||||||
|
#define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
|
||||||
|
#define d_exp(x) (exp(*(x)))
|
||||||
|
#define d_imag(z) (cimag(Cd(z)))
|
||||||
|
#define r_imag(z) (cimagf(Cf(z)))
|
||||||
|
#define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
|
||||||
|
#define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
|
||||||
|
#define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
|
||||||
|
#define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
|
||||||
|
#define d_log(x) (log(*(x)))
|
||||||
|
#define d_mod(x, y) (fmod(*(x), *(y)))
|
||||||
|
#define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
|
||||||
|
#define d_nint(x) u_nint(*(x))
|
||||||
|
#define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
|
||||||
|
#define d_sign(a,b) u_sign(*(a),*(b))
|
||||||
|
#define r_sign(a,b) u_sign(*(a),*(b))
|
||||||
|
#define d_sin(x) (sin(*(x)))
|
||||||
|
#define d_sinh(x) (sinh(*(x)))
|
||||||
|
#define d_sqrt(x) (sqrt(*(x)))
|
||||||
|
#define d_tan(x) (tan(*(x)))
|
||||||
|
#define d_tanh(x) (tanh(*(x)))
|
||||||
|
#define i_abs(x) abs(*(x))
|
||||||
|
#define i_dnnt(x) ((integer)u_nint(*(x)))
|
||||||
|
#define i_len(s, n) (n)
|
||||||
|
#define i_nint(x) ((integer)u_nint(*(x)))
|
||||||
|
#define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
|
||||||
|
#define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
|
||||||
|
#define pow_si(B,E) spow_ui(*(B),*(E))
|
||||||
|
#define pow_ri(B,E) spow_ui(*(B),*(E))
|
||||||
|
#define pow_di(B,E) dpow_ui(*(B),*(E))
|
||||||
|
#define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
|
||||||
|
#define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
|
||||||
|
#define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
|
||||||
|
#define s_cat(lpp, rpp, rnp, np, llp) { ftnlen i, nc, ll; char *f__rp, *lp; ll = (llp); lp = (lpp); for(i=0; i < (int)*(np); ++i) { nc = ll; if((rnp)[i] < nc) nc = (rnp)[i]; ll -= nc; f__rp = (rpp)[i]; while(--nc >= 0) *lp++ = *(f__rp)++; } while(--ll >= 0) *lp++ = ' '; }
|
||||||
|
#define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
|
||||||
|
#define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
|
||||||
|
#define sig_die(s, kill) { exit(1); }
|
||||||
|
#define s_stop(s, n) {exit(0);}
|
||||||
|
static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
|
||||||
|
#define z_abs(z) (cabs(Cd(z)))
|
||||||
|
#define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
|
||||||
|
#define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
|
||||||
|
#define myexit_() break;
|
||||||
|
#define mycycle_() continue;
|
||||||
|
#define myceiling_(w) {ceil(w)}
|
||||||
|
#define myhuge_(w) {HUGE_VAL}
|
||||||
|
//#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
|
||||||
|
#define mymaxloc_(w,s,e,n) dmaxloc_(w,*(s),*(e),n)
|
||||||
|
|
||||||
|
/* procedure parameter types for -A and -C++ */
|
||||||
|
|
||||||
|
#define F2C_proc_par_types 1
|
||||||
|
#ifdef __cplusplus
|
||||||
|
typedef logical (*L_fp)(...);
|
||||||
|
#else
|
||||||
|
typedef logical (*L_fp)();
|
||||||
|
#endif
|
||||||
|
|
||||||
|
static float spow_ui(float x, integer n) {
|
||||||
|
float pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
static double dpow_ui(double x, integer n) {
|
||||||
|
double pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
static _Fcomplex cpow_ui(complex x, integer n) {
|
||||||
|
complex pow={1.0,0.0}; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow.r *= x.r, pow.i *= x.i;
|
||||||
|
if(u >>= 1) x.r *= x.r, x.i *= x.i;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
_Fcomplex p={pow.r, pow.i};
|
||||||
|
return p;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
static _Complex float cpow_ui(_Complex float x, integer n) {
|
||||||
|
_Complex float pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
|
||||||
|
_Dcomplex pow={1.0,0.0}; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
|
||||||
|
if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
_Dcomplex p = {pow._Val[0], pow._Val[1]};
|
||||||
|
return p;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
static _Complex double zpow_ui(_Complex double x, integer n) {
|
||||||
|
_Complex double pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static integer pow_ii(integer x, integer n) {
|
||||||
|
integer pow; unsigned long int u;
|
||||||
|
if (n <= 0) {
|
||||||
|
if (n == 0 || x == 1) pow = 1;
|
||||||
|
else if (x != -1) pow = x == 0 ? 1/x : 0;
|
||||||
|
else n = -n;
|
||||||
|
}
|
||||||
|
if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
|
||||||
|
u = n;
|
||||||
|
for(pow = 1; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
static integer dmaxloc_(double *w, integer s, integer e, integer *n)
|
||||||
|
{
|
||||||
|
double m; integer i, mi;
|
||||||
|
for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
|
||||||
|
if (w[i-1]>m) mi=i ,m=w[i-1];
|
||||||
|
return mi-s+1;
|
||||||
|
}
|
||||||
|
static integer smaxloc_(float *w, integer s, integer e, integer *n)
|
||||||
|
{
|
||||||
|
float m; integer i, mi;
|
||||||
|
for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
|
||||||
|
if (w[i-1]>m) mi=i ,m=w[i-1];
|
||||||
|
return mi-s+1;
|
||||||
|
}
|
||||||
|
static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Fcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex float zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Dcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex double zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Fcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex float zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cf(&x[i]) * Cf(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Dcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex double zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cd(&x[i]) * Cd(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
/* -- translated by f2c (version 20000121).
|
||||||
|
You must link the resulting object file with the libraries:
|
||||||
|
-lf2c -lm (in that order)
|
||||||
|
*/
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
/* -- translated by f2c (version 20000121).
|
||||||
|
You must link the resulting object file with the libraries:
|
||||||
|
-lf2c -lm (in that order)
|
||||||
|
*/
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
/* > \brief \b CRSCL multiplies a vector by the reciprocal of a real scalar. */
|
||||||
|
|
||||||
|
/* =========== DOCUMENTATION =========== */
|
||||||
|
|
||||||
|
/* Online html documentation available at */
|
||||||
|
/* http://www.netlib.org/lapack/explore-html/ */
|
||||||
|
|
||||||
|
/* > \htmlonly */
|
||||||
|
/* > Download CRSCL + dependencies */
|
||||||
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/crscl.f
|
||||||
|
"> */
|
||||||
|
/* > [TGZ]</a> */
|
||||||
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/crscl.f
|
||||||
|
"> */
|
||||||
|
/* > [ZIP]</a> */
|
||||||
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/crscl.f
|
||||||
|
"> */
|
||||||
|
/* > [TXT]</a> */
|
||||||
|
/* > \endhtmlonly */
|
||||||
|
|
||||||
|
/* Definition: */
|
||||||
|
/* =========== */
|
||||||
|
|
||||||
|
/* SUBROUTINE CRSCL( N, A, X, INCX ) */
|
||||||
|
|
||||||
|
/* INTEGER INCX, N */
|
||||||
|
/* COMPLEX A */
|
||||||
|
/* COMPLEX X( * ) */
|
||||||
|
|
||||||
|
|
||||||
|
/* > \par Purpose: */
|
||||||
|
/* ============= */
|
||||||
|
/* > */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > */
|
||||||
|
/* > CRSCL multiplies an n-element complex vector x by the complex scalar */
|
||||||
|
/* > 1/a. This is done without overflow or underflow as long as */
|
||||||
|
/* > the final result x/a does not overflow or underflow. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
|
||||||
|
/* Arguments: */
|
||||||
|
/* ========== */
|
||||||
|
|
||||||
|
/* > \param[in] N */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > N is INTEGER */
|
||||||
|
/* > The number of components of the vector x. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
/* > */
|
||||||
|
/* > \param[in] A */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > A is COMPLEX */
|
||||||
|
/* > The scalar a which is used to divide each component of x. */
|
||||||
|
/* > A must not be 0, or the subroutine will divide by zero. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
/* > */
|
||||||
|
/* > \param[in,out] X */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > X is COMPLEX array, dimension */
|
||||||
|
/* > (1+(N-1)*abs(INCX)) */
|
||||||
|
/* > The n-element vector x. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
/* > */
|
||||||
|
/* > \param[in] INCX */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > INCX is INTEGER */
|
||||||
|
/* > The increment between successive values of the vector X. */
|
||||||
|
/* > > 0: X(1) = X(1) and X(1+(i-1)*INCX) = x(i), 1< i<= n */
|
||||||
|
/* > \endverbatim */
|
||||||
|
|
||||||
|
/* Authors: */
|
||||||
|
/* ======== */
|
||||||
|
|
||||||
|
/* > \author Univ. of Tennessee */
|
||||||
|
/* > \author Univ. of California Berkeley */
|
||||||
|
/* > \author Univ. of Colorado Denver */
|
||||||
|
/* > \author NAG Ltd. */
|
||||||
|
|
||||||
|
/* > \ingroup complexOTHERauxiliary */
|
||||||
|
|
||||||
|
/* ===================================================================== */
|
||||||
|
/* Subroutine */ int crscl_(integer *n, complex *a, complex *x, integer *incx)
|
||||||
|
{
|
||||||
|
/* System generated locals */
|
||||||
|
real r__1, r__2;
|
||||||
|
complex q__1;
|
||||||
|
|
||||||
|
/* Local variables */
|
||||||
|
real absi, absr;
|
||||||
|
extern /* Subroutine */ int cscal_(integer *, complex *, complex *,
|
||||||
|
integer *);
|
||||||
|
real ai, ar, ui, ov, ur;
|
||||||
|
extern real slamch_(char *);
|
||||||
|
extern /* Subroutine */ int csscal_(integer *, real *, complex *, integer
|
||||||
|
*);
|
||||||
|
real safmin, safmax;
|
||||||
|
extern /* Subroutine */ int csrscl_(integer *, real *, complex *, integer
|
||||||
|
*);
|
||||||
|
|
||||||
|
|
||||||
|
/* -- LAPACK auxiliary routine -- */
|
||||||
|
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
|
||||||
|
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
|
||||||
|
|
||||||
|
|
||||||
|
/* ===================================================================== */
|
||||||
|
|
||||||
|
|
||||||
|
/* Quick return if possible */
|
||||||
|
|
||||||
|
/* Parameter adjustments */
|
||||||
|
--x;
|
||||||
|
|
||||||
|
/* Function Body */
|
||||||
|
if (*n <= 0) {
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Get machine parameters */
|
||||||
|
|
||||||
|
safmin = slamch_("S");
|
||||||
|
safmax = 1.f / safmin;
|
||||||
|
ov = slamch_("O");
|
||||||
|
|
||||||
|
/* Initialize constants related to A. */
|
||||||
|
|
||||||
|
ar = a->r;
|
||||||
|
ai = r_imag(a);
|
||||||
|
absr = abs(ar);
|
||||||
|
absi = abs(ai);
|
||||||
|
|
||||||
|
if (ai == 0.f) {
|
||||||
|
/* If alpha is real, then we can use csrscl */
|
||||||
|
csrscl_(n, &ar, &x[1], incx);
|
||||||
|
|
||||||
|
} else if (ar == 0.f) {
|
||||||
|
/* If alpha has a zero real part, then we follow the same rules as if */
|
||||||
|
/* alpha were real. */
|
||||||
|
if (absi > safmax) {
|
||||||
|
csscal_(n, &safmin, &x[1], incx);
|
||||||
|
r__1 = -safmax / ai;
|
||||||
|
q__1.r = 0.f, q__1.i = r__1;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
} else if (absi < safmin) {
|
||||||
|
r__1 = -safmin / ai;
|
||||||
|
q__1.r = 0.f, q__1.i = r__1;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
csscal_(n, &safmax, &x[1], incx);
|
||||||
|
} else {
|
||||||
|
r__1 = -1.f / ai;
|
||||||
|
q__1.r = 0.f, q__1.i = r__1;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
}
|
||||||
|
|
||||||
|
} else {
|
||||||
|
/* The following numbers can be computed. */
|
||||||
|
/* They are the inverse of the real and imaginary parts of 1/alpha. */
|
||||||
|
/* Note that a and b are always different from zero. */
|
||||||
|
/* NaNs are only possible if either: */
|
||||||
|
/* 1. alphaR or alphaI is NaN. */
|
||||||
|
/* 2. alphaR and alphaI are both infinite, in which case it makes sense */
|
||||||
|
/* to propagate a NaN. */
|
||||||
|
ur = ar + ai * (ai / ar);
|
||||||
|
ui = ai + ar * (ar / ai);
|
||||||
|
|
||||||
|
if (abs(ur) < safmin || abs(ui) < safmin) {
|
||||||
|
/* This means that both alphaR and alphaI are very small. */
|
||||||
|
r__1 = safmin / ur;
|
||||||
|
r__2 = -safmin / ui;
|
||||||
|
q__1.r = r__1, q__1.i = r__2;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
csscal_(n, &safmax, &x[1], incx);
|
||||||
|
} else if (abs(ur) > safmax || abs(ui) > safmax) {
|
||||||
|
if (absr > ov || absi > ov) {
|
||||||
|
/* This means that a and b are both Inf. No need for scaling. */
|
||||||
|
r__1 = 1.f / ur;
|
||||||
|
r__2 = -1.f / ui;
|
||||||
|
q__1.r = r__1, q__1.i = r__2;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
} else {
|
||||||
|
csscal_(n, &safmin, &x[1], incx);
|
||||||
|
if (abs(ur) > ov || abs(ui) > ov) {
|
||||||
|
/* Infs were generated. We do proper scaling to avoid them. */
|
||||||
|
if (absr >= absi) {
|
||||||
|
/* ABS( UR ) <= ABS( UI ) */
|
||||||
|
ur = safmin * ar + safmin * (ai * (ai / ar));
|
||||||
|
ui = safmin * ai + ar * (safmin * ar / ai);
|
||||||
|
} else {
|
||||||
|
/* ABS( UR ) > ABS( UI ) */
|
||||||
|
ur = safmin * ar + ai * (safmin * ai / ar);
|
||||||
|
ui = safmin * ai + safmin * (ar * (ar / ai));
|
||||||
|
}
|
||||||
|
r__1 = 1.f / ur;
|
||||||
|
r__2 = -1.f / ui;
|
||||||
|
q__1.r = r__1, q__1.i = r__2;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
} else {
|
||||||
|
r__1 = safmax / ur;
|
||||||
|
r__2 = -safmax / ui;
|
||||||
|
q__1.r = r__1, q__1.i = r__2;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
r__1 = 1.f / ur;
|
||||||
|
r__2 = -1.f / ui;
|
||||||
|
q__1.r = r__1, q__1.i = r__2;
|
||||||
|
cscal_(n, &q__1, &x[1], incx);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return 0;
|
||||||
|
|
||||||
|
/* End of CRSCL */
|
||||||
|
|
||||||
|
} /* crscl_ */
|
||||||
|
|
||||||
|
|
@ -0,0 +1,202 @@
|
||||||
|
*> \brief \b CRSCL multiplies a vector by the reciprocal of a real scalar.
|
||||||
|
*
|
||||||
|
* =========== DOCUMENTATION ===========
|
||||||
|
*
|
||||||
|
* Online html documentation available at
|
||||||
|
* http://www.netlib.org/lapack/explore-html/
|
||||||
|
*
|
||||||
|
*> \htmlonly
|
||||||
|
*> Download CRSCL + dependencies
|
||||||
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/crscl.f">
|
||||||
|
*> [TGZ]</a>
|
||||||
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/crscl.f">
|
||||||
|
*> [ZIP]</a>
|
||||||
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/crscl.f">
|
||||||
|
*> [TXT]</a>
|
||||||
|
*> \endhtmlonly
|
||||||
|
*
|
||||||
|
* Definition:
|
||||||
|
* ===========
|
||||||
|
*
|
||||||
|
* SUBROUTINE CRSCL( N, A, X, INCX )
|
||||||
|
*
|
||||||
|
* .. Scalar Arguments ..
|
||||||
|
* INTEGER INCX, N
|
||||||
|
* COMPLEX A
|
||||||
|
* ..
|
||||||
|
* .. Array Arguments ..
|
||||||
|
* COMPLEX X( * )
|
||||||
|
* ..
|
||||||
|
*
|
||||||
|
*
|
||||||
|
*> \par Purpose:
|
||||||
|
* =============
|
||||||
|
*>
|
||||||
|
*> \verbatim
|
||||||
|
*>
|
||||||
|
*> CRSCL multiplies an n-element complex vector x by the complex scalar
|
||||||
|
*> 1/a. This is done without overflow or underflow as long as
|
||||||
|
*> the final result x/a does not overflow or underflow.
|
||||||
|
*> \endverbatim
|
||||||
|
*
|
||||||
|
* Arguments:
|
||||||
|
* ==========
|
||||||
|
*
|
||||||
|
*> \param[in] N
|
||||||
|
*> \verbatim
|
||||||
|
*> N is INTEGER
|
||||||
|
*> The number of components of the vector x.
|
||||||
|
*> \endverbatim
|
||||||
|
*>
|
||||||
|
*> \param[in] A
|
||||||
|
*> \verbatim
|
||||||
|
*> A is COMPLEX
|
||||||
|
*> The scalar a which is used to divide each component of x.
|
||||||
|
*> A must not be 0, or the subroutine will divide by zero.
|
||||||
|
*> \endverbatim
|
||||||
|
*>
|
||||||
|
*> \param[in,out] X
|
||||||
|
*> \verbatim
|
||||||
|
*> X is COMPLEX array, dimension
|
||||||
|
*> (1+(N-1)*abs(INCX))
|
||||||
|
*> The n-element vector x.
|
||||||
|
*> \endverbatim
|
||||||
|
*>
|
||||||
|
*> \param[in] INCX
|
||||||
|
*> \verbatim
|
||||||
|
*> INCX is INTEGER
|
||||||
|
*> The increment between successive values of the vector X.
|
||||||
|
*> > 0: X(1) = X(1) and X(1+(i-1)*INCX) = x(i), 1< i<= n
|
||||||
|
*> \endverbatim
|
||||||
|
*
|
||||||
|
* Authors:
|
||||||
|
* ========
|
||||||
|
*
|
||||||
|
*> \author Univ. of Tennessee
|
||||||
|
*> \author Univ. of California Berkeley
|
||||||
|
*> \author Univ. of Colorado Denver
|
||||||
|
*> \author NAG Ltd.
|
||||||
|
*
|
||||||
|
*> \ingroup complexOTHERauxiliary
|
||||||
|
*
|
||||||
|
* =====================================================================
|
||||||
|
SUBROUTINE CRSCL( N, A, X, INCX )
|
||||||
|
*
|
||||||
|
* -- LAPACK auxiliary routine --
|
||||||
|
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
||||||
|
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
||||||
|
*
|
||||||
|
* .. Scalar Arguments ..
|
||||||
|
INTEGER INCX, N
|
||||||
|
COMPLEX A
|
||||||
|
* ..
|
||||||
|
* .. Array Arguments ..
|
||||||
|
COMPLEX X( * )
|
||||||
|
* ..
|
||||||
|
*
|
||||||
|
* =====================================================================
|
||||||
|
*
|
||||||
|
* .. Parameters ..
|
||||||
|
REAL ZERO, ONE
|
||||||
|
PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 )
|
||||||
|
* ..
|
||||||
|
* .. Local Scalars ..
|
||||||
|
REAL SAFMAX, SAFMIN, OV, AR, AI, ABSR, ABSI, UR
|
||||||
|
% , UI
|
||||||
|
* ..
|
||||||
|
* .. External Functions ..
|
||||||
|
REAL SLAMCH
|
||||||
|
COMPLEX CLADIV
|
||||||
|
EXTERNAL SLAMCH, CLADIV
|
||||||
|
* ..
|
||||||
|
* .. External Subroutines ..
|
||||||
|
EXTERNAL CSCAL, CSSCAL, CSRSCL
|
||||||
|
* ..
|
||||||
|
* .. Intrinsic Functions ..
|
||||||
|
INTRINSIC ABS
|
||||||
|
* ..
|
||||||
|
* .. Executable Statements ..
|
||||||
|
*
|
||||||
|
* Quick return if possible
|
||||||
|
*
|
||||||
|
IF( N.LE.0 )
|
||||||
|
$ RETURN
|
||||||
|
*
|
||||||
|
* Get machine parameters
|
||||||
|
*
|
||||||
|
SAFMIN = SLAMCH( 'S' )
|
||||||
|
SAFMAX = ONE / SAFMIN
|
||||||
|
OV = SLAMCH( 'O' )
|
||||||
|
*
|
||||||
|
* Initialize constants related to A.
|
||||||
|
*
|
||||||
|
AR = REAL( A )
|
||||||
|
AI = AIMAG( A )
|
||||||
|
ABSR = ABS( AR )
|
||||||
|
ABSI = ABS( AI )
|
||||||
|
*
|
||||||
|
IF( AI.EQ.ZERO ) THEN
|
||||||
|
* If alpha is real, then we can use csrscl
|
||||||
|
CALL CSRSCL( N, AR, X, INCX )
|
||||||
|
*
|
||||||
|
ELSE IF( AR.EQ.ZERO ) THEN
|
||||||
|
* If alpha has a zero real part, then we follow the same rules as if
|
||||||
|
* alpha were real.
|
||||||
|
IF( ABSI.GT.SAFMAX ) THEN
|
||||||
|
CALL CSSCAL( N, SAFMIN, X, INCX )
|
||||||
|
CALL CSCAL( N, CMPLX( ZERO, -SAFMAX / AI ), X, INCX )
|
||||||
|
ELSE IF( ABSI.LT.SAFMIN ) THEN
|
||||||
|
CALL CSCAL( N, CMPLX( ZERO, -SAFMIN / AI ), X, INCX )
|
||||||
|
CALL CSSCAL( N, SAFMAX, X, INCX )
|
||||||
|
ELSE
|
||||||
|
CALL CSCAL( N, CMPLX( ZERO, -ONE / AI ), X, INCX )
|
||||||
|
END IF
|
||||||
|
*
|
||||||
|
ELSE
|
||||||
|
* The following numbers can be computed.
|
||||||
|
* They are the inverse of the real and imaginary parts of 1/alpha.
|
||||||
|
* Note that a and b are always different from zero.
|
||||||
|
* NaNs are only possible if either:
|
||||||
|
* 1. alphaR or alphaI is NaN.
|
||||||
|
* 2. alphaR and alphaI are both infinite, in which case it makes sense
|
||||||
|
* to propagate a NaN.
|
||||||
|
UR = AR + AI * ( AI / AR )
|
||||||
|
UI = AI + AR * ( AR / AI )
|
||||||
|
*
|
||||||
|
IF( (ABS( UR ).LT.SAFMIN).OR.(ABS( UI ).LT.SAFMIN) ) THEN
|
||||||
|
* This means that both alphaR and alphaI are very small.
|
||||||
|
CALL CSCAL( N, CMPLX( SAFMIN / UR, -SAFMIN / UI ), X, INCX )
|
||||||
|
CALL CSSCAL( N, SAFMAX, X, INCX )
|
||||||
|
ELSE IF( (ABS( UR ).GT.SAFMAX).OR.(ABS( UI ).GT.SAFMAX) ) THEN
|
||||||
|
IF( (ABSR.GT.OV).OR.(ABSI.GT.OV) ) THEN
|
||||||
|
* This means that a and b are both Inf. No need for scaling.
|
||||||
|
CALL CSCAL( N, CMPLX( ONE / UR, -ONE / UI ), X, INCX )
|
||||||
|
ELSE
|
||||||
|
CALL CSSCAL( N, SAFMIN, X, INCX )
|
||||||
|
IF( (ABS( UR ).GT.OV).OR.(ABS( UI ).GT.OV) ) THEN
|
||||||
|
* Infs were generated. We do proper scaling to avoid them.
|
||||||
|
IF( ABSR.GE.ABSI ) THEN
|
||||||
|
* ABS( UR ) <= ABS( UI )
|
||||||
|
UR = (SAFMIN * AR) + SAFMIN * (AI * ( AI / AR ))
|
||||||
|
UI = (SAFMIN * AI) + AR * ( (SAFMIN * AR) / AI )
|
||||||
|
ELSE
|
||||||
|
* ABS( UR ) > ABS( UI )
|
||||||
|
UR = (SAFMIN * AR) + AI * ( (SAFMIN * AI) / AR )
|
||||||
|
UI = (SAFMIN * AI) + SAFMIN * (AR * ( AR / AI ))
|
||||||
|
END IF
|
||||||
|
CALL CSCAL( N, CMPLX( ONE / UR, -ONE / UI ), X, INCX )
|
||||||
|
ELSE
|
||||||
|
CALL CSCAL( N, CMPLX( SAFMAX / UR, -SAFMAX / UI ),
|
||||||
|
$ X, INCX )
|
||||||
|
END IF
|
||||||
|
END IF
|
||||||
|
ELSE
|
||||||
|
CALL CSCAL( N, CMPLX( ONE / UR, -ONE / UI ), X, INCX )
|
||||||
|
END IF
|
||||||
|
END IF
|
||||||
|
*
|
||||||
|
RETURN
|
||||||
|
*
|
||||||
|
* End of CRSCL
|
||||||
|
*
|
||||||
|
END
|
||||||
|
|
@ -320,7 +320,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup complexOTHERcomputational
|
*> \ingroup stemr
|
||||||
*
|
*
|
||||||
*> \par Contributors:
|
*> \par Contributors:
|
||||||
* ==================
|
* ==================
|
||||||
|
|
@ -329,7 +329,8 @@
|
||||||
*> Jim Demmel, University of California, Berkeley, USA \n
|
*> Jim Demmel, University of California, Berkeley, USA \n
|
||||||
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
||||||
*> Osni Marques, LBNL/NERSC, USA \n
|
*> Osni Marques, LBNL/NERSC, USA \n
|
||||||
*> Christof Voemel, University of California, Berkeley, USA
|
*> Christof Voemel, University of California, Berkeley, USA \n
|
||||||
|
*> Aravindh Krishnamoorthy, FAU, Erlangen, Germany \n
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE CSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
SUBROUTINE CSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
||||||
|
|
@ -361,7 +362,8 @@
|
||||||
$ MINRGP = 3.0E-3 )
|
$ MINRGP = 3.0E-3 )
|
||||||
* ..
|
* ..
|
||||||
* .. Local Scalars ..
|
* .. Local Scalars ..
|
||||||
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY
|
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY,
|
||||||
|
$ LAESWAP
|
||||||
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
||||||
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
||||||
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
||||||
|
|
@ -397,6 +399,7 @@
|
||||||
*
|
*
|
||||||
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
||||||
ZQUERY = ( NZC.EQ.-1 )
|
ZQUERY = ( NZC.EQ.-1 )
|
||||||
|
LAESWAP = .FALSE.
|
||||||
|
|
||||||
* SSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
* SSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
||||||
* In addition, SLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
* In addition, SLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
||||||
|
|
@ -519,6 +522,15 @@
|
||||||
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
CALL SLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
CALL SLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
||||||
END IF
|
END IF
|
||||||
|
* D/S/LAE2 and D/S/LAEV2 outputs satisfy |R1| >= |R2|. However,
|
||||||
|
* the following code requires R1 >= R2. Hence, we correct
|
||||||
|
* the order of R1, R2, CS, SN if R1 < R2 before further processing.
|
||||||
|
IF( R1.LT.R2 ) THEN
|
||||||
|
E(2) = R1
|
||||||
|
R1 = R2
|
||||||
|
R2 = E(2)
|
||||||
|
LAESWAP = .TRUE.
|
||||||
|
ENDIF
|
||||||
IF( ALLEIG.OR.
|
IF( ALLEIG.OR.
|
||||||
$ (VALEIG.AND.(R2.GT.WL).AND.
|
$ (VALEIG.AND.(R2.GT.WL).AND.
|
||||||
$ (R2.LE.WU)).OR.
|
$ (R2.LE.WU)).OR.
|
||||||
|
|
@ -526,8 +538,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R2
|
W( M ) = R2
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = CS
|
||||||
|
Z( 2, M ) = SN
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = -SN
|
Z( 1, M ) = -SN
|
||||||
Z( 2, M ) = CS
|
Z( 2, M ) = CS
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
@ -550,8 +567,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R1
|
W( M ) = R1
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = -SN
|
||||||
|
Z( 2, M ) = CS
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = CS
|
Z( 1, M ) = CS
|
||||||
Z( 2, M ) = SN
|
Z( 2, M ) = SN
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
|
||||||
|
|
@ -164,7 +164,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup doubleGEsolve
|
*> \ingroup gelss
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE DGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
SUBROUTINE DGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
||||||
|
|
@ -203,7 +203,7 @@
|
||||||
* ..
|
* ..
|
||||||
* .. External Subroutines ..
|
* .. External Subroutines ..
|
||||||
EXTERNAL DBDSQR, DCOPY, DGEBRD, DGELQF, DGEMM, DGEMV,
|
EXTERNAL DBDSQR, DCOPY, DGEBRD, DGELQF, DGEMM, DGEMV,
|
||||||
$ DGEQRF, DLABAD, DLACPY, DLASCL, DLASET, DORGBR,
|
$ DGEQRF, DLACPY, DLASCL, DLASET, DORGBR,
|
||||||
$ DORMBR, DORMLQ, DORMQR, DRSCL, XERBLA
|
$ DORMBR, DORMLQ, DORMQR, DRSCL, XERBLA
|
||||||
* ..
|
* ..
|
||||||
* .. External Functions ..
|
* .. External Functions ..
|
||||||
|
|
@ -385,7 +385,6 @@
|
||||||
SFMIN = DLAMCH( 'S' )
|
SFMIN = DLAMCH( 'S' )
|
||||||
SMLNUM = SFMIN / EPS
|
SMLNUM = SFMIN / EPS
|
||||||
BIGNUM = ONE / SMLNUM
|
BIGNUM = ONE / SMLNUM
|
||||||
CALL DLABAD( SMLNUM, BIGNUM )
|
|
||||||
*
|
*
|
||||||
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
||||||
*
|
*
|
||||||
|
|
@ -529,7 +528,7 @@
|
||||||
$ LDB, ZERO, WORK, N )
|
$ LDB, ZERO, WORK, N )
|
||||||
CALL DLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL DLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
20 CONTINUE
|
20 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL DGEMV( 'T', N, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
CALL DGEMV( 'T', N, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
||||||
CALL DCOPY( N, WORK, 1, B, 1 )
|
CALL DCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
@ -626,7 +625,7 @@
|
||||||
CALL DLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
CALL DLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
||||||
$ LDB )
|
$ LDB )
|
||||||
40 CONTINUE
|
40 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL DGEMV( 'T', M, M, ONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
CALL DGEMV( 'T', M, M, ONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
||||||
$ 1, ZERO, WORK( IWORK ), 1 )
|
$ 1, ZERO, WORK( IWORK ), 1 )
|
||||||
CALL DCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
CALL DCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
||||||
|
|
@ -712,7 +711,7 @@
|
||||||
$ LDB, ZERO, WORK, N )
|
$ LDB, ZERO, WORK, N )
|
||||||
CALL DLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL DLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
60 CONTINUE
|
60 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL DGEMV( 'T', M, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
CALL DGEMV( 'T', M, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
||||||
CALL DCOPY( N, WORK, 1, B, 1 )
|
CALL DCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
|
||||||
|
|
@ -303,7 +303,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup doubleOTHERcomputational
|
*> \ingroup stemr
|
||||||
*
|
*
|
||||||
*> \par Contributors:
|
*> \par Contributors:
|
||||||
* ==================
|
* ==================
|
||||||
|
|
@ -312,7 +312,8 @@
|
||||||
*> Jim Demmel, University of California, Berkeley, USA \n
|
*> Jim Demmel, University of California, Berkeley, USA \n
|
||||||
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
||||||
*> Osni Marques, LBNL/NERSC, USA \n
|
*> Osni Marques, LBNL/NERSC, USA \n
|
||||||
*> Christof Voemel, University of California, Berkeley, USA
|
*> Christof Voemel, University of California, Berkeley, USA \n
|
||||||
|
*> Aravindh Krishnamoorthy, FAU, Erlangen, Germany \n
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE DSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
SUBROUTINE DSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
||||||
|
|
@ -344,7 +345,8 @@
|
||||||
$ MINRGP = 1.0D-3 )
|
$ MINRGP = 1.0D-3 )
|
||||||
* ..
|
* ..
|
||||||
* .. Local Scalars ..
|
* .. Local Scalars ..
|
||||||
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY
|
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY,
|
||||||
|
$ LAESWAP
|
||||||
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
||||||
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
||||||
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
||||||
|
|
@ -380,6 +382,7 @@
|
||||||
*
|
*
|
||||||
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
||||||
ZQUERY = ( NZC.EQ.-1 )
|
ZQUERY = ( NZC.EQ.-1 )
|
||||||
|
LAESWAP = .FALSE.
|
||||||
|
|
||||||
* DSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
* DSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
||||||
* In addition, DLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
* In addition, DLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
||||||
|
|
@ -502,6 +505,15 @@
|
||||||
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
CALL DLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
CALL DLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
||||||
END IF
|
END IF
|
||||||
|
* D/S/LAE2 and D/S/LAEV2 outputs satisfy |R1| >= |R2|. However,
|
||||||
|
* the following code requires R1 >= R2. Hence, we correct
|
||||||
|
* the order of R1, R2, CS, SN if R1 < R2 before further processing.
|
||||||
|
IF( R1.LT.R2 ) THEN
|
||||||
|
E(2) = R1
|
||||||
|
R1 = R2
|
||||||
|
R2 = E(2)
|
||||||
|
LAESWAP = .TRUE.
|
||||||
|
ENDIF
|
||||||
IF( ALLEIG.OR.
|
IF( ALLEIG.OR.
|
||||||
$ (VALEIG.AND.(R2.GT.WL).AND.
|
$ (VALEIG.AND.(R2.GT.WL).AND.
|
||||||
$ (R2.LE.WU)).OR.
|
$ (R2.LE.WU)).OR.
|
||||||
|
|
@ -509,8 +521,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R2
|
W( M ) = R2
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = CS
|
||||||
|
Z( 2, M ) = SN
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = -SN
|
Z( 1, M ) = -SN
|
||||||
Z( 2, M ) = CS
|
Z( 2, M ) = CS
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
@ -533,8 +550,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R1
|
W( M ) = R1
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = -SN
|
||||||
|
Z( 2, M ) = CS
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = CS
|
Z( 1, M ) = CS
|
||||||
Z( 2, M ) = SN
|
Z( 2, M ) = SN
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
|
||||||
|
|
@ -164,7 +164,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup realGEsolve
|
*> \ingroup gelss
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE SGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
SUBROUTINE SGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
||||||
|
|
@ -202,7 +202,7 @@
|
||||||
* ..
|
* ..
|
||||||
* .. External Subroutines ..
|
* .. External Subroutines ..
|
||||||
EXTERNAL SBDSQR, SCOPY, SGEBRD, SGELQF, SGEMM, SGEMV,
|
EXTERNAL SBDSQR, SCOPY, SGEBRD, SGELQF, SGEMM, SGEMV,
|
||||||
$ SGEQRF, SLABAD, SLACPY, SLASCL, SLASET, SORGBR,
|
$ SGEQRF, SLACPY, SLASCL, SLASET, SORGBR,
|
||||||
$ SORMBR, SORMLQ, SORMQR, SRSCL, XERBLA
|
$ SORMBR, SORMLQ, SORMQR, SRSCL, XERBLA
|
||||||
* ..
|
* ..
|
||||||
* .. External Functions ..
|
* .. External Functions ..
|
||||||
|
|
@ -381,7 +381,6 @@
|
||||||
SFMIN = SLAMCH( 'S' )
|
SFMIN = SLAMCH( 'S' )
|
||||||
SMLNUM = SFMIN / EPS
|
SMLNUM = SFMIN / EPS
|
||||||
BIGNUM = ONE / SMLNUM
|
BIGNUM = ONE / SMLNUM
|
||||||
CALL SLABAD( SMLNUM, BIGNUM )
|
|
||||||
*
|
*
|
||||||
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
||||||
*
|
*
|
||||||
|
|
@ -525,7 +524,7 @@
|
||||||
$ LDB, ZERO, WORK, N )
|
$ LDB, ZERO, WORK, N )
|
||||||
CALL SLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL SLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
20 CONTINUE
|
20 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL SGEMV( 'T', N, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
CALL SGEMV( 'T', N, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
||||||
CALL SCOPY( N, WORK, 1, B, 1 )
|
CALL SCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
@ -622,7 +621,7 @@
|
||||||
CALL SLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
CALL SLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
||||||
$ LDB )
|
$ LDB )
|
||||||
40 CONTINUE
|
40 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL SGEMV( 'T', M, M, ONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
CALL SGEMV( 'T', M, M, ONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
||||||
$ 1, ZERO, WORK( IWORK ), 1 )
|
$ 1, ZERO, WORK( IWORK ), 1 )
|
||||||
CALL SCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
CALL SCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
||||||
|
|
@ -708,7 +707,7 @@
|
||||||
$ LDB, ZERO, WORK, N )
|
$ LDB, ZERO, WORK, N )
|
||||||
CALL SLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL SLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
60 CONTINUE
|
60 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL SGEMV( 'T', M, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
CALL SGEMV( 'T', M, N, ONE, A, LDA, B, 1, ZERO, WORK, 1 )
|
||||||
CALL SCOPY( N, WORK, 1, B, 1 )
|
CALL SCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
|
||||||
|
|
@ -303,7 +303,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup realOTHERcomputational
|
*> \ingroup stemr
|
||||||
*
|
*
|
||||||
*> \par Contributors:
|
*> \par Contributors:
|
||||||
* ==================
|
* ==================
|
||||||
|
|
@ -312,7 +312,8 @@
|
||||||
*> Jim Demmel, University of California, Berkeley, USA \n
|
*> Jim Demmel, University of California, Berkeley, USA \n
|
||||||
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
||||||
*> Osni Marques, LBNL/NERSC, USA \n
|
*> Osni Marques, LBNL/NERSC, USA \n
|
||||||
*> Christof Voemel, University of California, Berkeley, USA
|
*> Christof Voemel, University of California, Berkeley, USA \n
|
||||||
|
*> Aravindh Krishnamoorthy, FAU, Erlangen, Germany \n
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE SSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
SUBROUTINE SSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
||||||
|
|
@ -344,7 +345,8 @@
|
||||||
$ MINRGP = 3.0E-3 )
|
$ MINRGP = 3.0E-3 )
|
||||||
* ..
|
* ..
|
||||||
* .. Local Scalars ..
|
* .. Local Scalars ..
|
||||||
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY
|
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY,
|
||||||
|
$ LAESWAP
|
||||||
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
||||||
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
||||||
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
||||||
|
|
@ -378,6 +380,7 @@
|
||||||
*
|
*
|
||||||
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
||||||
ZQUERY = ( NZC.EQ.-1 )
|
ZQUERY = ( NZC.EQ.-1 )
|
||||||
|
LAESWAP = .FALSE.
|
||||||
|
|
||||||
* SSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
* SSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
||||||
* In addition, SLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
* In addition, SLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
||||||
|
|
@ -500,6 +503,15 @@
|
||||||
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
CALL SLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
CALL SLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
||||||
END IF
|
END IF
|
||||||
|
* D/S/LAE2 and D/S/LAEV2 outputs satisfy |R1| >= |R2|. However,
|
||||||
|
* the following code requires R1 >= R2. Hence, we correct
|
||||||
|
* the order of R1, R2, CS, SN if R1 < R2 before further processing.
|
||||||
|
IF( R1.LT.R2 ) THEN
|
||||||
|
E(2) = R1
|
||||||
|
R1 = R2
|
||||||
|
R2 = E(2)
|
||||||
|
LAESWAP = .TRUE.
|
||||||
|
ENDIF
|
||||||
IF( ALLEIG.OR.
|
IF( ALLEIG.OR.
|
||||||
$ (VALEIG.AND.(R2.GT.WL).AND.
|
$ (VALEIG.AND.(R2.GT.WL).AND.
|
||||||
$ (R2.LE.WU)).OR.
|
$ (R2.LE.WU)).OR.
|
||||||
|
|
@ -507,8 +519,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R2
|
W( M ) = R2
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = CS
|
||||||
|
Z( 2, M ) = SN
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = -SN
|
Z( 1, M ) = -SN
|
||||||
Z( 2, M ) = CS
|
Z( 2, M ) = CS
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
@ -531,8 +548,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R1
|
W( M ) = R1
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = -SN
|
||||||
|
Z( 2, M ) = CS
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = CS
|
Z( 1, M ) = CS
|
||||||
Z( 2, M ) = SN
|
Z( 2, M ) = SN
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
|
||||||
|
|
@ -170,7 +170,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup complex16GEsolve
|
*> \ingroup gelss
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE ZGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
SUBROUTINE ZGELSS( M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK,
|
||||||
|
|
@ -212,10 +212,9 @@
|
||||||
COMPLEX*16 DUM( 1 )
|
COMPLEX*16 DUM( 1 )
|
||||||
* ..
|
* ..
|
||||||
* .. External Subroutines ..
|
* .. External Subroutines ..
|
||||||
EXTERNAL DLABAD, DLASCL, DLASET, XERBLA, ZBDSQR, ZCOPY,
|
EXTERNAL DLASCL, DLASET, XERBLA, ZBDSQR, ZCOPY, ZDRSCL,
|
||||||
$ ZDRSCL, ZGEBRD, ZGELQF, ZGEMM, ZGEMV, ZGEQRF,
|
$ ZGEBRD, ZGELQF, ZGEMM, ZGEMV, ZGEQRF, ZLACPY,
|
||||||
$ ZLACPY, ZLASCL, ZLASET, ZUNGBR, ZUNMBR, ZUNMLQ,
|
$ ZLASCL, ZLASET, ZUNGBR, ZUNMBR, ZUNMLQ
|
||||||
$ ZUNMQR
|
|
||||||
* ..
|
* ..
|
||||||
* .. External Functions ..
|
* .. External Functions ..
|
||||||
INTEGER ILAENV
|
INTEGER ILAENV
|
||||||
|
|
@ -388,7 +387,6 @@
|
||||||
SFMIN = DLAMCH( 'S' )
|
SFMIN = DLAMCH( 'S' )
|
||||||
SMLNUM = SFMIN / EPS
|
SMLNUM = SFMIN / EPS
|
||||||
BIGNUM = ONE / SMLNUM
|
BIGNUM = ONE / SMLNUM
|
||||||
CALL DLABAD( SMLNUM, BIGNUM )
|
|
||||||
*
|
*
|
||||||
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
* Scale A if max element outside range [SMLNUM,BIGNUM]
|
||||||
*
|
*
|
||||||
|
|
@ -540,7 +538,7 @@
|
||||||
$ LDB, CZERO, WORK, N )
|
$ LDB, CZERO, WORK, N )
|
||||||
CALL ZLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL ZLACPY( 'G', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
20 CONTINUE
|
20 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL ZGEMV( 'C', N, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
CALL ZGEMV( 'C', N, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
||||||
CALL ZCOPY( N, WORK, 1, B, 1 )
|
CALL ZCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
@ -645,7 +643,7 @@
|
||||||
CALL ZLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
CALL ZLACPY( 'G', M, BL, WORK( IWORK ), M, B( 1, I ),
|
||||||
$ LDB )
|
$ LDB )
|
||||||
40 CONTINUE
|
40 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL ZGEMV( 'C', M, M, CONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
CALL ZGEMV( 'C', M, M, CONE, WORK( IL ), LDWORK, B( 1, 1 ),
|
||||||
$ 1, CZERO, WORK( IWORK ), 1 )
|
$ 1, CZERO, WORK( IWORK ), 1 )
|
||||||
CALL ZCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
CALL ZCOPY( M, WORK( IWORK ), 1, B( 1, 1 ), 1 )
|
||||||
|
|
@ -737,7 +735,7 @@
|
||||||
$ LDB, CZERO, WORK, N )
|
$ LDB, CZERO, WORK, N )
|
||||||
CALL ZLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
CALL ZLACPY( 'F', N, BL, WORK, N, B( 1, I ), LDB )
|
||||||
60 CONTINUE
|
60 CONTINUE
|
||||||
ELSE
|
ELSE IF( NRHS.EQ.1 ) THEN
|
||||||
CALL ZGEMV( 'C', M, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
CALL ZGEMV( 'C', M, N, CONE, A, LDA, B, 1, CZERO, WORK, 1 )
|
||||||
CALL ZCOPY( N, WORK, 1, B, 1 )
|
CALL ZCOPY( N, WORK, 1, B, 1 )
|
||||||
END IF
|
END IF
|
||||||
|
|
|
||||||
|
|
@ -101,7 +101,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup complex16GEcomputational
|
*> \ingroup getf2
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE ZGETF2( M, N, A, LDA, IPIV, INFO )
|
SUBROUTINE ZGETF2( M, N, A, LDA, IPIV, INFO )
|
||||||
|
|
@ -127,7 +127,7 @@
|
||||||
* ..
|
* ..
|
||||||
* .. Local Scalars ..
|
* .. Local Scalars ..
|
||||||
DOUBLE PRECISION SFMIN
|
DOUBLE PRECISION SFMIN
|
||||||
INTEGER I, J, JP
|
INTEGER J, JP
|
||||||
* ..
|
* ..
|
||||||
* .. External Functions ..
|
* .. External Functions ..
|
||||||
DOUBLE PRECISION DLAMCH
|
DOUBLE PRECISION DLAMCH
|
||||||
|
|
@ -135,7 +135,7 @@
|
||||||
EXTERNAL DLAMCH, IZAMAX
|
EXTERNAL DLAMCH, IZAMAX
|
||||||
* ..
|
* ..
|
||||||
* .. External Subroutines ..
|
* .. External Subroutines ..
|
||||||
EXTERNAL XERBLA, ZGERU, ZSCAL, ZSWAP
|
EXTERNAL XERBLA, ZGERU, ZRSCL, ZSWAP
|
||||||
* ..
|
* ..
|
||||||
* .. Intrinsic Functions ..
|
* .. Intrinsic Functions ..
|
||||||
INTRINSIC MAX, MIN
|
INTRINSIC MAX, MIN
|
||||||
|
|
@ -181,15 +181,8 @@
|
||||||
*
|
*
|
||||||
* Compute elements J+1:M of J-th column.
|
* Compute elements J+1:M of J-th column.
|
||||||
*
|
*
|
||||||
IF( J.LT.M ) THEN
|
IF( J.LT.M )
|
||||||
IF( ABS(A( J, J )) .GE. SFMIN ) THEN
|
$ CALL ZRSCL( M-J, A( J, J ), A( J+1, J ), 1 )
|
||||||
CALL ZSCAL( M-J, ONE / A( J, J ), A( J+1, J ), 1 )
|
|
||||||
ELSE
|
|
||||||
DO 20 I = 1, M-J
|
|
||||||
A( J+I, J ) = A( J+I, J ) / A( J, J )
|
|
||||||
20 CONTINUE
|
|
||||||
END IF
|
|
||||||
END IF
|
|
||||||
*
|
*
|
||||||
ELSE IF( INFO.EQ.0 ) THEN
|
ELSE IF( INFO.EQ.0 ) THEN
|
||||||
*
|
*
|
||||||
|
|
|
||||||
|
|
@ -0,0 +1,735 @@
|
||||||
|
#include <math.h>
|
||||||
|
#include <stdlib.h>
|
||||||
|
#include <string.h>
|
||||||
|
#include <stdio.h>
|
||||||
|
#include <complex.h>
|
||||||
|
#ifdef complex
|
||||||
|
#undef complex
|
||||||
|
#endif
|
||||||
|
#ifdef I
|
||||||
|
#undef I
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#if defined(_WIN64)
|
||||||
|
typedef long long BLASLONG;
|
||||||
|
typedef unsigned long long BLASULONG;
|
||||||
|
#else
|
||||||
|
typedef long BLASLONG;
|
||||||
|
typedef unsigned long BLASULONG;
|
||||||
|
#endif
|
||||||
|
|
||||||
|
#ifdef LAPACK_ILP64
|
||||||
|
typedef BLASLONG blasint;
|
||||||
|
#if defined(_WIN64)
|
||||||
|
#define blasabs(x) llabs(x)
|
||||||
|
#else
|
||||||
|
#define blasabs(x) labs(x)
|
||||||
|
#endif
|
||||||
|
#else
|
||||||
|
typedef int blasint;
|
||||||
|
#define blasabs(x) abs(x)
|
||||||
|
#endif
|
||||||
|
|
||||||
|
typedef blasint integer;
|
||||||
|
|
||||||
|
typedef unsigned int uinteger;
|
||||||
|
typedef char *address;
|
||||||
|
typedef short int shortint;
|
||||||
|
typedef float real;
|
||||||
|
typedef double doublereal;
|
||||||
|
typedef struct { real r, i; } complex;
|
||||||
|
typedef struct { doublereal r, i; } doublecomplex;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
|
||||||
|
static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
|
||||||
|
static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
|
||||||
|
static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
|
||||||
|
#else
|
||||||
|
static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
|
||||||
|
static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
|
||||||
|
static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
|
||||||
|
static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
|
||||||
|
#endif
|
||||||
|
#define pCf(z) (*_pCf(z))
|
||||||
|
#define pCd(z) (*_pCd(z))
|
||||||
|
typedef int logical;
|
||||||
|
typedef short int shortlogical;
|
||||||
|
typedef char logical1;
|
||||||
|
typedef char integer1;
|
||||||
|
|
||||||
|
#define TRUE_ (1)
|
||||||
|
#define FALSE_ (0)
|
||||||
|
|
||||||
|
/* Extern is for use with -E */
|
||||||
|
#ifndef Extern
|
||||||
|
#define Extern extern
|
||||||
|
#endif
|
||||||
|
|
||||||
|
/* I/O stuff */
|
||||||
|
|
||||||
|
typedef int flag;
|
||||||
|
typedef int ftnlen;
|
||||||
|
typedef int ftnint;
|
||||||
|
|
||||||
|
/*external read, write*/
|
||||||
|
typedef struct
|
||||||
|
{ flag cierr;
|
||||||
|
ftnint ciunit;
|
||||||
|
flag ciend;
|
||||||
|
char *cifmt;
|
||||||
|
ftnint cirec;
|
||||||
|
} cilist;
|
||||||
|
|
||||||
|
/*internal read, write*/
|
||||||
|
typedef struct
|
||||||
|
{ flag icierr;
|
||||||
|
char *iciunit;
|
||||||
|
flag iciend;
|
||||||
|
char *icifmt;
|
||||||
|
ftnint icirlen;
|
||||||
|
ftnint icirnum;
|
||||||
|
} icilist;
|
||||||
|
|
||||||
|
/*open*/
|
||||||
|
typedef struct
|
||||||
|
{ flag oerr;
|
||||||
|
ftnint ounit;
|
||||||
|
char *ofnm;
|
||||||
|
ftnlen ofnmlen;
|
||||||
|
char *osta;
|
||||||
|
char *oacc;
|
||||||
|
char *ofm;
|
||||||
|
ftnint orl;
|
||||||
|
char *oblnk;
|
||||||
|
} olist;
|
||||||
|
|
||||||
|
/*close*/
|
||||||
|
typedef struct
|
||||||
|
{ flag cerr;
|
||||||
|
ftnint cunit;
|
||||||
|
char *csta;
|
||||||
|
} cllist;
|
||||||
|
|
||||||
|
/*rewind, backspace, endfile*/
|
||||||
|
typedef struct
|
||||||
|
{ flag aerr;
|
||||||
|
ftnint aunit;
|
||||||
|
} alist;
|
||||||
|
|
||||||
|
/* inquire */
|
||||||
|
typedef struct
|
||||||
|
{ flag inerr;
|
||||||
|
ftnint inunit;
|
||||||
|
char *infile;
|
||||||
|
ftnlen infilen;
|
||||||
|
ftnint *inex; /*parameters in standard's order*/
|
||||||
|
ftnint *inopen;
|
||||||
|
ftnint *innum;
|
||||||
|
ftnint *innamed;
|
||||||
|
char *inname;
|
||||||
|
ftnlen innamlen;
|
||||||
|
char *inacc;
|
||||||
|
ftnlen inacclen;
|
||||||
|
char *inseq;
|
||||||
|
ftnlen inseqlen;
|
||||||
|
char *indir;
|
||||||
|
ftnlen indirlen;
|
||||||
|
char *infmt;
|
||||||
|
ftnlen infmtlen;
|
||||||
|
char *inform;
|
||||||
|
ftnint informlen;
|
||||||
|
char *inunf;
|
||||||
|
ftnlen inunflen;
|
||||||
|
ftnint *inrecl;
|
||||||
|
ftnint *innrec;
|
||||||
|
char *inblank;
|
||||||
|
ftnlen inblanklen;
|
||||||
|
} inlist;
|
||||||
|
|
||||||
|
#define VOID void
|
||||||
|
|
||||||
|
union Multitype { /* for multiple entry points */
|
||||||
|
integer1 g;
|
||||||
|
shortint h;
|
||||||
|
integer i;
|
||||||
|
/* longint j; */
|
||||||
|
real r;
|
||||||
|
doublereal d;
|
||||||
|
complex c;
|
||||||
|
doublecomplex z;
|
||||||
|
};
|
||||||
|
|
||||||
|
typedef union Multitype Multitype;
|
||||||
|
|
||||||
|
struct Vardesc { /* for Namelist */
|
||||||
|
char *name;
|
||||||
|
char *addr;
|
||||||
|
ftnlen *dims;
|
||||||
|
int type;
|
||||||
|
};
|
||||||
|
typedef struct Vardesc Vardesc;
|
||||||
|
|
||||||
|
struct Namelist {
|
||||||
|
char *name;
|
||||||
|
Vardesc **vars;
|
||||||
|
int nvars;
|
||||||
|
};
|
||||||
|
typedef struct Namelist Namelist;
|
||||||
|
|
||||||
|
#define abs(x) ((x) >= 0 ? (x) : -(x))
|
||||||
|
#define dabs(x) (fabs(x))
|
||||||
|
#define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
|
||||||
|
#define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
|
||||||
|
#define dmin(a,b) (f2cmin(a,b))
|
||||||
|
#define dmax(a,b) (f2cmax(a,b))
|
||||||
|
#define bit_test(a,b) ((a) >> (b) & 1)
|
||||||
|
#define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
|
||||||
|
#define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
|
||||||
|
|
||||||
|
#define abort_() { sig_die("Fortran abort routine called", 1); }
|
||||||
|
#define c_abs(z) (cabsf(Cf(z)))
|
||||||
|
#define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
#define c_div(c, a, b) {Cf(c)._Val[0] = (Cf(a)._Val[0]/Cf(b)._Val[0]); Cf(c)._Val[1]=(Cf(a)._Val[1]/Cf(b)._Val[1]);}
|
||||||
|
#define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/Cd(b)._Val[1]);}
|
||||||
|
#else
|
||||||
|
#define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
|
||||||
|
#define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
|
||||||
|
#endif
|
||||||
|
#define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
|
||||||
|
#define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
|
||||||
|
#define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
|
||||||
|
//#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
|
||||||
|
#define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
|
||||||
|
#define d_abs(x) (fabs(*(x)))
|
||||||
|
#define d_acos(x) (acos(*(x)))
|
||||||
|
#define d_asin(x) (asin(*(x)))
|
||||||
|
#define d_atan(x) (atan(*(x)))
|
||||||
|
#define d_atn2(x, y) (atan2(*(x),*(y)))
|
||||||
|
#define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
|
||||||
|
#define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
|
||||||
|
#define d_cos(x) (cos(*(x)))
|
||||||
|
#define d_cosh(x) (cosh(*(x)))
|
||||||
|
#define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
|
||||||
|
#define d_exp(x) (exp(*(x)))
|
||||||
|
#define d_imag(z) (cimag(Cd(z)))
|
||||||
|
#define r_imag(z) (cimagf(Cf(z)))
|
||||||
|
#define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
|
||||||
|
#define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
|
||||||
|
#define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
|
||||||
|
#define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
|
||||||
|
#define d_log(x) (log(*(x)))
|
||||||
|
#define d_mod(x, y) (fmod(*(x), *(y)))
|
||||||
|
#define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
|
||||||
|
#define d_nint(x) u_nint(*(x))
|
||||||
|
#define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
|
||||||
|
#define d_sign(a,b) u_sign(*(a),*(b))
|
||||||
|
#define r_sign(a,b) u_sign(*(a),*(b))
|
||||||
|
#define d_sin(x) (sin(*(x)))
|
||||||
|
#define d_sinh(x) (sinh(*(x)))
|
||||||
|
#define d_sqrt(x) (sqrt(*(x)))
|
||||||
|
#define d_tan(x) (tan(*(x)))
|
||||||
|
#define d_tanh(x) (tanh(*(x)))
|
||||||
|
#define i_abs(x) abs(*(x))
|
||||||
|
#define i_dnnt(x) ((integer)u_nint(*(x)))
|
||||||
|
#define i_len(s, n) (n)
|
||||||
|
#define i_nint(x) ((integer)u_nint(*(x)))
|
||||||
|
#define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
|
||||||
|
#define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
|
||||||
|
#define pow_si(B,E) spow_ui(*(B),*(E))
|
||||||
|
#define pow_ri(B,E) spow_ui(*(B),*(E))
|
||||||
|
#define pow_di(B,E) dpow_ui(*(B),*(E))
|
||||||
|
#define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
|
||||||
|
#define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
|
||||||
|
#define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
|
||||||
|
#define s_cat(lpp, rpp, rnp, np, llp) { ftnlen i, nc, ll; char *f__rp, *lp; ll = (llp); lp = (lpp); for(i=0; i < (int)*(np); ++i) { nc = ll; if((rnp)[i] < nc) nc = (rnp)[i]; ll -= nc; f__rp = (rpp)[i]; while(--nc >= 0) *lp++ = *(f__rp)++; } while(--ll >= 0) *lp++ = ' '; }
|
||||||
|
#define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
|
||||||
|
#define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
|
||||||
|
#define sig_die(s, kill) { exit(1); }
|
||||||
|
#define s_stop(s, n) {exit(0);}
|
||||||
|
static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
|
||||||
|
#define z_abs(z) (cabs(Cd(z)))
|
||||||
|
#define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
|
||||||
|
#define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
|
||||||
|
#define myexit_() break;
|
||||||
|
#define mycycle_() continue;
|
||||||
|
#define myceiling_(w) {ceil(w)}
|
||||||
|
#define myhuge_(w) {HUGE_VAL}
|
||||||
|
//#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
|
||||||
|
#define mymaxloc_(w,s,e,n) dmaxloc_(w,*(s),*(e),n)
|
||||||
|
|
||||||
|
/* procedure parameter types for -A and -C++ */
|
||||||
|
|
||||||
|
#define F2C_proc_par_types 1
|
||||||
|
#ifdef __cplusplus
|
||||||
|
typedef logical (*L_fp)(...);
|
||||||
|
#else
|
||||||
|
typedef logical (*L_fp)();
|
||||||
|
#endif
|
||||||
|
|
||||||
|
static float spow_ui(float x, integer n) {
|
||||||
|
float pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
static double dpow_ui(double x, integer n) {
|
||||||
|
double pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
static _Fcomplex cpow_ui(complex x, integer n) {
|
||||||
|
complex pow={1.0,0.0}; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow.r *= x.r, pow.i *= x.i;
|
||||||
|
if(u >>= 1) x.r *= x.r, x.i *= x.i;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
_Fcomplex p={pow.r, pow.i};
|
||||||
|
return p;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
static _Complex float cpow_ui(_Complex float x, integer n) {
|
||||||
|
_Complex float pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
|
||||||
|
_Dcomplex pow={1.0,0.0}; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
|
||||||
|
if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
_Dcomplex p = {pow._Val[0], pow._Val[1]};
|
||||||
|
return p;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
static _Complex double zpow_ui(_Complex double x, integer n) {
|
||||||
|
_Complex double pow=1.0; unsigned long int u;
|
||||||
|
if(n != 0) {
|
||||||
|
if(n < 0) n = -n, x = 1/x;
|
||||||
|
for(u = n; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static integer pow_ii(integer x, integer n) {
|
||||||
|
integer pow; unsigned long int u;
|
||||||
|
if (n <= 0) {
|
||||||
|
if (n == 0 || x == 1) pow = 1;
|
||||||
|
else if (x != -1) pow = x == 0 ? 1/x : 0;
|
||||||
|
else n = -n;
|
||||||
|
}
|
||||||
|
if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
|
||||||
|
u = n;
|
||||||
|
for(pow = 1; ; ) {
|
||||||
|
if(u & 01) pow *= x;
|
||||||
|
if(u >>= 1) x *= x;
|
||||||
|
else break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return pow;
|
||||||
|
}
|
||||||
|
static integer dmaxloc_(double *w, integer s, integer e, integer *n)
|
||||||
|
{
|
||||||
|
double m; integer i, mi;
|
||||||
|
for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
|
||||||
|
if (w[i-1]>m) mi=i ,m=w[i-1];
|
||||||
|
return mi-s+1;
|
||||||
|
}
|
||||||
|
static integer smaxloc_(float *w, integer s, integer e, integer *n)
|
||||||
|
{
|
||||||
|
float m; integer i, mi;
|
||||||
|
for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
|
||||||
|
if (w[i-1]>m) mi=i ,m=w[i-1];
|
||||||
|
return mi-s+1;
|
||||||
|
}
|
||||||
|
static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Fcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex float zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Dcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex double zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Fcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex float zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cf(&x[i]) * Cf(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCf(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
|
||||||
|
integer n = *n_, incx = *incx_, incy = *incy_, i;
|
||||||
|
#ifdef _MSC_VER
|
||||||
|
_Dcomplex zdotc = {0.0, 0.0};
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
|
||||||
|
zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
|
||||||
|
zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#else
|
||||||
|
_Complex double zdotc = 0.0;
|
||||||
|
if (incx == 1 && incy == 1) {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cd(&x[i]) * Cd(&y[i]);
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
|
||||||
|
zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
pCd(z) = zdotc;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
/* -- translated by f2c (version 20000121).
|
||||||
|
You must link the resulting object file with the libraries:
|
||||||
|
-lf2c -lm (in that order)
|
||||||
|
*/
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
/* -- translated by f2c (version 20000121).
|
||||||
|
You must link the resulting object file with the libraries:
|
||||||
|
-lf2c -lm (in that order)
|
||||||
|
*/
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
/* > \brief \b ZDRSCL multiplies a vector by the reciprocal of a real scalar. */
|
||||||
|
|
||||||
|
/* =========== DOCUMENTATION =========== */
|
||||||
|
|
||||||
|
/* Online html documentation available at */
|
||||||
|
/* http://www.netlib.org/lapack/explore-html/ */
|
||||||
|
|
||||||
|
/* > \htmlonly */
|
||||||
|
/* > Download ZDRSCL + dependencies */
|
||||||
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zdrscl.
|
||||||
|
f"> */
|
||||||
|
/* > [TGZ]</a> */
|
||||||
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zdrscl.
|
||||||
|
f"> */
|
||||||
|
/* > [ZIP]</a> */
|
||||||
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zdrscl.
|
||||||
|
f"> */
|
||||||
|
/* > [TXT]</a> */
|
||||||
|
/* > \endhtmlonly */
|
||||||
|
|
||||||
|
/* Definition: */
|
||||||
|
/* =========== */
|
||||||
|
|
||||||
|
/* SUBROUTINE ZRSCL( N, A, X, INCX ) */
|
||||||
|
|
||||||
|
/* INTEGER INCX, N */
|
||||||
|
/* COMPLEX*16 A */
|
||||||
|
/* COMPLEX*16 X( * ) */
|
||||||
|
|
||||||
|
|
||||||
|
/* > \par Purpose: */
|
||||||
|
/* ============= */
|
||||||
|
/* > */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > */
|
||||||
|
/* > ZRSCL multiplies an n-element complex vector x by the complex scalar */
|
||||||
|
/* > 1/a. This is done without overflow or underflow as long as */
|
||||||
|
/* > the final result x/a does not overflow or underflow. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
|
||||||
|
/* Arguments: */
|
||||||
|
/* ========== */
|
||||||
|
|
||||||
|
/* > \param[in] N */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > N is INTEGER */
|
||||||
|
/* > The number of components of the vector x. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
/* > */
|
||||||
|
/* > \param[in] A */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > A is COMPLEX*16 */
|
||||||
|
/* > The scalar a which is used to divide each component of x. */
|
||||||
|
/* > A must not be 0, or the subroutine will divide by zero. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
/* > */
|
||||||
|
/* > \param[in,out] X */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > X is COMPLEX*16 array, dimension */
|
||||||
|
/* > (1+(N-1)*abs(INCX)) */
|
||||||
|
/* > The n-element vector x. */
|
||||||
|
/* > \endverbatim */
|
||||||
|
/* > */
|
||||||
|
/* > \param[in] INCX */
|
||||||
|
/* > \verbatim */
|
||||||
|
/* > INCX is INTEGER */
|
||||||
|
/* > The increment between successive values of the vector SX. */
|
||||||
|
/* > > 0: SX(1) = X(1) and SX(1+(i-1)*INCX) = x(i), 1< i<= n */
|
||||||
|
/* > \endverbatim */
|
||||||
|
|
||||||
|
/* Authors: */
|
||||||
|
/* ======== */
|
||||||
|
|
||||||
|
/* > \author Univ. of Tennessee */
|
||||||
|
/* > \author Univ. of California Berkeley */
|
||||||
|
/* > \author Univ. of Colorado Denver */
|
||||||
|
/* > \author NAG Ltd. */
|
||||||
|
|
||||||
|
/* > \ingroup complex16OTHERauxiliary */
|
||||||
|
|
||||||
|
/* ===================================================================== */
|
||||||
|
/* Subroutine */ int zrscl_(integer *n, doublecomplex *a, doublecomplex *x,
|
||||||
|
integer *incx)
|
||||||
|
{
|
||||||
|
/* System generated locals */
|
||||||
|
doublereal d__1, d__2;
|
||||||
|
doublecomplex z__1;
|
||||||
|
|
||||||
|
/* Local variables */
|
||||||
|
doublereal absi, absr;
|
||||||
|
extern /* Subroutine */ int zscal_(integer *, doublecomplex *,
|
||||||
|
doublecomplex *, integer *);
|
||||||
|
doublereal ai, ar;
|
||||||
|
extern doublereal dlamch_(char *);
|
||||||
|
doublereal ui, ov, ur, safmin, safmax;
|
||||||
|
extern /* Subroutine */ int zdscal_(integer *, doublereal *,
|
||||||
|
doublecomplex *, integer *), zdrscl_(integer *, doublereal *,
|
||||||
|
doublecomplex *, integer *);
|
||||||
|
|
||||||
|
|
||||||
|
/* -- LAPACK auxiliary routine -- */
|
||||||
|
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
|
||||||
|
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
|
||||||
|
|
||||||
|
|
||||||
|
/* ===================================================================== */
|
||||||
|
|
||||||
|
|
||||||
|
/* Quick return if possible */
|
||||||
|
|
||||||
|
/* Parameter adjustments */
|
||||||
|
--x;
|
||||||
|
|
||||||
|
/* Function Body */
|
||||||
|
if (*n <= 0) {
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Get machine parameters */
|
||||||
|
|
||||||
|
safmin = dlamch_("S");
|
||||||
|
safmax = 1. / safmin;
|
||||||
|
ov = dlamch_("O");
|
||||||
|
|
||||||
|
/* Initialize constants related to A. */
|
||||||
|
|
||||||
|
ar = a->r;
|
||||||
|
ai = d_imag(a);
|
||||||
|
absr = abs(ar);
|
||||||
|
absi = abs(ai);
|
||||||
|
|
||||||
|
if (ai == 0.) {
|
||||||
|
/* If alpha is real, then we can use csrscl */
|
||||||
|
zdrscl_(n, &ar, &x[1], incx);
|
||||||
|
|
||||||
|
} else if (ar == 0.) {
|
||||||
|
/* If alpha has a zero real part, then we follow the same rules as if */
|
||||||
|
/* alpha were real. */
|
||||||
|
if (absi > safmax) {
|
||||||
|
zdscal_(n, &safmin, &x[1], incx);
|
||||||
|
d__1 = -safmax / ai;
|
||||||
|
z__1.r = 0., z__1.i = d__1;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
} else if (absi < safmin) {
|
||||||
|
d__1 = -safmin / ai;
|
||||||
|
z__1.r = 0., z__1.i = d__1;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
zdscal_(n, &safmax, &x[1], incx);
|
||||||
|
} else {
|
||||||
|
d__1 = -1. / ai;
|
||||||
|
z__1.r = 0., z__1.i = d__1;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
}
|
||||||
|
|
||||||
|
} else {
|
||||||
|
/* The following numbers can be computed. */
|
||||||
|
/* They are the inverse of the real and imaginary parts of 1/alpha. */
|
||||||
|
/* Note that a and b are always different from zero. */
|
||||||
|
/* NaNs are only possible if either: */
|
||||||
|
/* 1. alphaR or alphaI is NaN. */
|
||||||
|
/* 2. alphaR and alphaI are both infinite, in which case it makes sense */
|
||||||
|
/* to propagate a NaN. */
|
||||||
|
ur = ar + ai * (ai / ar);
|
||||||
|
ui = ai + ar * (ar / ai);
|
||||||
|
|
||||||
|
if (abs(ur) < safmin || abs(ui) < safmin) {
|
||||||
|
/* This means that both alphaR and alphaI are very small. */
|
||||||
|
d__1 = safmin / ur;
|
||||||
|
d__2 = -safmin / ui;
|
||||||
|
z__1.r = d__1, z__1.i = d__2;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
zdscal_(n, &safmax, &x[1], incx);
|
||||||
|
} else if (abs(ur) > safmax || abs(ui) > safmax) {
|
||||||
|
if (absr > ov || absi > ov) {
|
||||||
|
/* This means that a and b are both Inf. No need for scaling. */
|
||||||
|
d__1 = 1. / ur;
|
||||||
|
d__2 = -1. / ui;
|
||||||
|
z__1.r = d__1, z__1.i = d__2;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
} else {
|
||||||
|
zdscal_(n, &safmin, &x[1], incx);
|
||||||
|
if (abs(ur) > ov || abs(ui) > ov) {
|
||||||
|
/* Infs were generated. We do proper scaling to avoid them. */
|
||||||
|
if (absr >= absi) {
|
||||||
|
/* ABS( UR ) <= ABS( UI ) */
|
||||||
|
ur = safmin * ar + safmin * (ai * (ai / ar));
|
||||||
|
ui = safmin * ai + ar * (safmin * ar / ai);
|
||||||
|
} else {
|
||||||
|
/* ABS( UR ) > ABS( UI ) */
|
||||||
|
ur = safmin * ar + ai * (safmin * ai / ar);
|
||||||
|
ui = safmin * ai + safmin * (ar * (ar / ai));
|
||||||
|
}
|
||||||
|
d__1 = 1. / ur;
|
||||||
|
d__2 = -1. / ui;
|
||||||
|
z__1.r = d__1, z__1.i = d__2;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
} else {
|
||||||
|
d__1 = safmax / ur;
|
||||||
|
d__2 = -safmax / ui;
|
||||||
|
z__1.r = d__1, z__1.i = d__2;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
d__1 = 1. / ur;
|
||||||
|
d__2 = -1. / ui;
|
||||||
|
z__1.r = d__1, z__1.i = d__2;
|
||||||
|
zscal_(n, &z__1, &x[1], incx);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return 0;
|
||||||
|
|
||||||
|
/* End of ZRSCL */
|
||||||
|
|
||||||
|
} /* zrscl_ */
|
||||||
|
|
||||||
|
|
@ -0,0 +1,203 @@
|
||||||
|
*> \brief \b ZDRSCL multiplies a vector by the reciprocal of a real scalar.
|
||||||
|
*
|
||||||
|
* =========== DOCUMENTATION ===========
|
||||||
|
*
|
||||||
|
* Online html documentation available at
|
||||||
|
* http://www.netlib.org/lapack/explore-html/
|
||||||
|
*
|
||||||
|
*> \htmlonly
|
||||||
|
*> Download ZDRSCL + dependencies
|
||||||
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zdrscl.f">
|
||||||
|
*> [TGZ]</a>
|
||||||
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zdrscl.f">
|
||||||
|
*> [ZIP]</a>
|
||||||
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zdrscl.f">
|
||||||
|
*> [TXT]</a>
|
||||||
|
*> \endhtmlonly
|
||||||
|
*
|
||||||
|
* Definition:
|
||||||
|
* ===========
|
||||||
|
*
|
||||||
|
* SUBROUTINE ZRSCL( N, A, X, INCX )
|
||||||
|
*
|
||||||
|
* .. Scalar Arguments ..
|
||||||
|
* INTEGER INCX, N
|
||||||
|
* COMPLEX*16 A
|
||||||
|
* ..
|
||||||
|
* .. Array Arguments ..
|
||||||
|
* COMPLEX*16 X( * )
|
||||||
|
* ..
|
||||||
|
*
|
||||||
|
*
|
||||||
|
*> \par Purpose:
|
||||||
|
* =============
|
||||||
|
*>
|
||||||
|
*> \verbatim
|
||||||
|
*>
|
||||||
|
*> ZRSCL multiplies an n-element complex vector x by the complex scalar
|
||||||
|
*> 1/a. This is done without overflow or underflow as long as
|
||||||
|
*> the final result x/a does not overflow or underflow.
|
||||||
|
*> \endverbatim
|
||||||
|
*
|
||||||
|
* Arguments:
|
||||||
|
* ==========
|
||||||
|
*
|
||||||
|
*> \param[in] N
|
||||||
|
*> \verbatim
|
||||||
|
*> N is INTEGER
|
||||||
|
*> The number of components of the vector x.
|
||||||
|
*> \endverbatim
|
||||||
|
*>
|
||||||
|
*> \param[in] A
|
||||||
|
*> \verbatim
|
||||||
|
*> A is COMPLEX*16
|
||||||
|
*> The scalar a which is used to divide each component of x.
|
||||||
|
*> A must not be 0, or the subroutine will divide by zero.
|
||||||
|
*> \endverbatim
|
||||||
|
*>
|
||||||
|
*> \param[in,out] X
|
||||||
|
*> \verbatim
|
||||||
|
*> X is COMPLEX*16 array, dimension
|
||||||
|
*> (1+(N-1)*abs(INCX))
|
||||||
|
*> The n-element vector x.
|
||||||
|
*> \endverbatim
|
||||||
|
*>
|
||||||
|
*> \param[in] INCX
|
||||||
|
*> \verbatim
|
||||||
|
*> INCX is INTEGER
|
||||||
|
*> The increment between successive values of the vector SX.
|
||||||
|
*> > 0: SX(1) = X(1) and SX(1+(i-1)*INCX) = x(i), 1< i<= n
|
||||||
|
*> \endverbatim
|
||||||
|
*
|
||||||
|
* Authors:
|
||||||
|
* ========
|
||||||
|
*
|
||||||
|
*> \author Univ. of Tennessee
|
||||||
|
*> \author Univ. of California Berkeley
|
||||||
|
*> \author Univ. of Colorado Denver
|
||||||
|
*> \author NAG Ltd.
|
||||||
|
*
|
||||||
|
*> \ingroup complex16OTHERauxiliary
|
||||||
|
*
|
||||||
|
* =====================================================================
|
||||||
|
SUBROUTINE ZRSCL( N, A, X, INCX )
|
||||||
|
*
|
||||||
|
* -- LAPACK auxiliary routine --
|
||||||
|
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
||||||
|
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
||||||
|
*
|
||||||
|
* .. Scalar Arguments ..
|
||||||
|
INTEGER INCX, N
|
||||||
|
COMPLEX*16 A
|
||||||
|
* ..
|
||||||
|
* .. Array Arguments ..
|
||||||
|
COMPLEX*16 X( * )
|
||||||
|
* ..
|
||||||
|
*
|
||||||
|
* =====================================================================
|
||||||
|
*
|
||||||
|
* .. Parameters ..
|
||||||
|
DOUBLE PRECISION ZERO, ONE
|
||||||
|
PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 )
|
||||||
|
* ..
|
||||||
|
* .. Local Scalars ..
|
||||||
|
DOUBLE PRECISION SAFMAX, SAFMIN, OV, AR, AI, ABSR, ABSI, UR, UI
|
||||||
|
* ..
|
||||||
|
* .. External Functions ..
|
||||||
|
DOUBLE PRECISION DLAMCH
|
||||||
|
COMPLEX*16 ZLADIV
|
||||||
|
EXTERNAL DLAMCH, ZLADIV
|
||||||
|
* ..
|
||||||
|
* .. External Subroutines ..
|
||||||
|
EXTERNAL DSCAL, ZDSCAL, ZDRSCL
|
||||||
|
* ..
|
||||||
|
* .. Intrinsic Functions ..
|
||||||
|
INTRINSIC ABS
|
||||||
|
* ..
|
||||||
|
* .. Executable Statements ..
|
||||||
|
*
|
||||||
|
* Quick return if possible
|
||||||
|
*
|
||||||
|
IF( N.LE.0 )
|
||||||
|
$ RETURN
|
||||||
|
*
|
||||||
|
* Get machine parameters
|
||||||
|
*
|
||||||
|
SAFMIN = DLAMCH( 'S' )
|
||||||
|
SAFMAX = ONE / SAFMIN
|
||||||
|
OV = DLAMCH( 'O' )
|
||||||
|
*
|
||||||
|
* Initialize constants related to A.
|
||||||
|
*
|
||||||
|
AR = DBLE( A )
|
||||||
|
AI = DIMAG( A )
|
||||||
|
ABSR = ABS( AR )
|
||||||
|
ABSI = ABS( AI )
|
||||||
|
*
|
||||||
|
IF( AI.EQ.ZERO ) THEN
|
||||||
|
* If alpha is real, then we can use csrscl
|
||||||
|
CALL ZDRSCL( N, AR, X, INCX )
|
||||||
|
*
|
||||||
|
ELSE IF( AR.EQ.ZERO ) THEN
|
||||||
|
* If alpha has a zero real part, then we follow the same rules as if
|
||||||
|
* alpha were real.
|
||||||
|
IF( ABSI.GT.SAFMAX ) THEN
|
||||||
|
CALL ZDSCAL( N, SAFMIN, X, INCX )
|
||||||
|
CALL ZSCAL( N, DCMPLX( ZERO, -SAFMAX / AI ), X, INCX )
|
||||||
|
ELSE IF( ABSI.LT.SAFMIN ) THEN
|
||||||
|
CALL ZSCAL( N, DCMPLX( ZERO, -SAFMIN / AI ), X, INCX )
|
||||||
|
CALL ZDSCAL( N, SAFMAX, X, INCX )
|
||||||
|
ELSE
|
||||||
|
CALL ZSCAL( N, DCMPLX( ZERO, -ONE / AI ), X, INCX )
|
||||||
|
END IF
|
||||||
|
*
|
||||||
|
ELSE
|
||||||
|
* The following numbers can be computed.
|
||||||
|
* They are the inverse of the real and imaginary parts of 1/alpha.
|
||||||
|
* Note that a and b are always different from zero.
|
||||||
|
* NaNs are only possible if either:
|
||||||
|
* 1. alphaR or alphaI is NaN.
|
||||||
|
* 2. alphaR and alphaI are both infinite, in which case it makes sense
|
||||||
|
* to propagate a NaN.
|
||||||
|
UR = AR + AI * ( AI / AR )
|
||||||
|
UI = AI + AR * ( AR / AI )
|
||||||
|
*
|
||||||
|
IF( (ABS( UR ).LT.SAFMIN).OR.(ABS( UI ).LT.SAFMIN) ) THEN
|
||||||
|
* This means that both alphaR and alphaI are very small.
|
||||||
|
CALL ZSCAL( N, DCMPLX( SAFMIN / UR, -SAFMIN / UI ), X,
|
||||||
|
$ INCX )
|
||||||
|
CALL ZDSCAL( N, SAFMAX, X, INCX )
|
||||||
|
ELSE IF( (ABS( UR ).GT.SAFMAX).OR.(ABS( UI ).GT.SAFMAX) ) THEN
|
||||||
|
IF( (ABSR.GT.OV).OR.(ABSI.GT.OV) ) THEN
|
||||||
|
* This means that a and b are both Inf. No need for scaling.
|
||||||
|
CALL ZSCAL( N, DCMPLX( ONE / UR, -ONE / UI ), X, INCX )
|
||||||
|
ELSE
|
||||||
|
CALL ZDSCAL( N, SAFMIN, X, INCX )
|
||||||
|
IF( (ABS( UR ).GT.OV).OR.(ABS( UI ).GT.OV) ) THEN
|
||||||
|
* Infs were generated. We do proper scaling to avoid them.
|
||||||
|
IF( ABSR.GE.ABSI ) THEN
|
||||||
|
* ABS( UR ) <= ABS( UI )
|
||||||
|
UR = (SAFMIN * AR) + SAFMIN * (AI * ( AI / AR ))
|
||||||
|
UI = (SAFMIN * AI) + AR * ( (SAFMIN * AR) / AI )
|
||||||
|
ELSE
|
||||||
|
* ABS( UR ) > ABS( UI )
|
||||||
|
UR = (SAFMIN * AR) + AI * ( (SAFMIN * AI) / AR )
|
||||||
|
UI = (SAFMIN * AI) + SAFMIN * (AR * ( AR / AI ))
|
||||||
|
END IF
|
||||||
|
CALL ZSCAL( N, DCMPLX( ONE / UR, -ONE / UI ), X,
|
||||||
|
$ INCX )
|
||||||
|
ELSE
|
||||||
|
CALL ZSCAL( N, DCMPLX( SAFMAX / UR, -SAFMAX / UI ),
|
||||||
|
$ X, INCX )
|
||||||
|
END IF
|
||||||
|
END IF
|
||||||
|
ELSE
|
||||||
|
CALL ZSCAL( N, DCMPLX( ONE / UR, -ONE / UI ), X, INCX )
|
||||||
|
END IF
|
||||||
|
END IF
|
||||||
|
*
|
||||||
|
RETURN
|
||||||
|
*
|
||||||
|
* End of ZRSCL
|
||||||
|
*
|
||||||
|
END
|
||||||
|
|
@ -320,7 +320,7 @@
|
||||||
*> \author Univ. of Colorado Denver
|
*> \author Univ. of Colorado Denver
|
||||||
*> \author NAG Ltd.
|
*> \author NAG Ltd.
|
||||||
*
|
*
|
||||||
*> \ingroup complex16OTHERcomputational
|
*> \ingroup stemr
|
||||||
*
|
*
|
||||||
*> \par Contributors:
|
*> \par Contributors:
|
||||||
* ==================
|
* ==================
|
||||||
|
|
@ -330,6 +330,7 @@
|
||||||
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
*> Inderjit Dhillon, University of Texas, Austin, USA \n
|
||||||
*> Osni Marques, LBNL/NERSC, USA \n
|
*> Osni Marques, LBNL/NERSC, USA \n
|
||||||
*> Christof Voemel, University of California, Berkeley, USA \n
|
*> Christof Voemel, University of California, Berkeley, USA \n
|
||||||
|
*> Aravindh Krishnamoorthy, FAU, Erlangen, Germany \n
|
||||||
*
|
*
|
||||||
* =====================================================================
|
* =====================================================================
|
||||||
SUBROUTINE ZSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
|
SUBROUTINE ZSTEMR( JOBZ, RANGE, N, D, E, VL, VU, IL, IU,
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|
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@ -361,7 +362,8 @@
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$ MINRGP = 1.0D-3 )
|
$ MINRGP = 1.0D-3 )
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* ..
|
* ..
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* .. Local Scalars ..
|
* .. Local Scalars ..
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LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY
|
LOGICAL ALLEIG, INDEIG, LQUERY, VALEIG, WANTZ, ZQUERY,
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|
$ LAESWAP
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INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
|
INTEGER I, IBEGIN, IEND, IFIRST, IIL, IINDBL, IINDW,
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$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
|
$ IINDWK, IINFO, IINSPL, IIU, ILAST, IN, INDD,
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$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
$ INDE2, INDERR, INDGP, INDGRS, INDWRK, ITMP,
|
||||||
|
|
@ -397,6 +399,7 @@
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*
|
*
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LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
|
LQUERY = ( ( LWORK.EQ.-1 ).OR.( LIWORK.EQ.-1 ) )
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ZQUERY = ( NZC.EQ.-1 )
|
ZQUERY = ( NZC.EQ.-1 )
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|
LAESWAP = .FALSE.
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|
|
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* DSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
* DSTEMR needs WORK of size 6*N, IWORK of size 3*N.
|
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* In addition, DLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
* In addition, DLARRE needs WORK of size 6*N, IWORK of size 5*N.
|
||||||
|
|
@ -519,6 +522,15 @@
|
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ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
ELSE IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
CALL DLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
CALL DLAEV2( D(1), E(1), D(2), R1, R2, CS, SN )
|
||||||
END IF
|
END IF
|
||||||
|
* D/S/LAE2 and D/S/LAEV2 outputs satisfy |R1| >= |R2|. However,
|
||||||
|
* the following code requires R1 >= R2. Hence, we correct
|
||||||
|
* the order of R1, R2, CS, SN if R1 < R2 before further processing.
|
||||||
|
IF( R1.LT.R2 ) THEN
|
||||||
|
E(2) = R1
|
||||||
|
R1 = R2
|
||||||
|
R2 = E(2)
|
||||||
|
LAESWAP = .TRUE.
|
||||||
|
ENDIF
|
||||||
IF( ALLEIG.OR.
|
IF( ALLEIG.OR.
|
||||||
$ (VALEIG.AND.(R2.GT.WL).AND.
|
$ (VALEIG.AND.(R2.GT.WL).AND.
|
||||||
$ (R2.LE.WU)).OR.
|
$ (R2.LE.WU)).OR.
|
||||||
|
|
@ -526,8 +538,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R2
|
W( M ) = R2
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = CS
|
||||||
|
Z( 2, M ) = SN
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = -SN
|
Z( 1, M ) = -SN
|
||||||
Z( 2, M ) = CS
|
Z( 2, M ) = CS
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
@ -550,8 +567,13 @@
|
||||||
M = M+1
|
M = M+1
|
||||||
W( M ) = R1
|
W( M ) = R1
|
||||||
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
IF( WANTZ.AND.(.NOT.ZQUERY) ) THEN
|
||||||
|
IF( LAESWAP ) THEN
|
||||||
|
Z( 1, M ) = -SN
|
||||||
|
Z( 2, M ) = CS
|
||||||
|
ELSE
|
||||||
Z( 1, M ) = CS
|
Z( 1, M ) = CS
|
||||||
Z( 2, M ) = SN
|
Z( 2, M ) = SN
|
||||||
|
ENDIF
|
||||||
* Note: At most one of SN and CS can be zero.
|
* Note: At most one of SN and CS can be zero.
|
||||||
IF (SN.NE.ZERO) THEN
|
IF (SN.NE.ZERO) THEN
|
||||||
IF (CS.NE.ZERO) THEN
|
IF (CS.NE.ZERO) THEN
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue