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Merge pull request #25 from QuantumPackage/dev-stable

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Dev stable
This commit is contained in:
AbdAmmar 2023-10-15 09:42:50 +02:00 committed by GitHub
commit fb98da5fb4
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348 changed files with 35693 additions and 6685 deletions
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1
.github/workflows/compilation.yml vendored
View File

@ -49,6 +49,7 @@ jobs:
./configure -i resultsFile || :
./configure -i bats || :
./configure -i trexio-nohdf5 || :
./configure -i qmckl || :
./configure -c ./config/gfortran_debug.cfg
- name: Compilation
run: |

5
.github/workflows/configuration.yml vendored
View File

@ -22,7 +22,7 @@ jobs:
- uses: actions/checkout@v3
- name: Install dependencies
run: |
sudo apt install gfortran gcc liblapack-dev libblas-dev wget python3 make m4 pkg-config hdf5
sudo apt install gfortran gcc liblapack-dev libblas-dev wget python3 make m4 pkg-config libhdf5-dev
- name: zlib
run: |
./configure -i zlib || echo OK
@ -56,6 +56,9 @@ jobs:
- name: trexio
run: |
./configure -i trexio || echo OK
- name: qmckl
run: |
./configure -i qmckl || echo OK
- name: Final check
run: |
./configure -c config/gfortran_debug.cfg

5
RELEASE_NOTES.org
View File

@ -10,7 +10,8 @@
- Added many types of integrals
- Accelerated four-index transformation
- Added transcorrelated SCF
- Added transcorrelated CIPSI
- Added bi-orthonormal transcorrelated CIPSI
- Added Cholesky decomposition of AO integrals
- Added CCSD and CCSD(T)
- Added MO localization
- Changed coupling parameters for ROHF
@ -20,7 +21,7 @@
- Removed cryptokit dependency in OCaml
- Using now standard convention in RDM
- Added molecular properties
- [ ] Added GTOs with complex exponent
- Added GTOs with complex exponent
*** TODO: take from dev
- Updated version of f77-zmq

2
bin/qp_reset
View File

@ -97,6 +97,8 @@ if [[ $dets -eq 1 ]] ; then
rm --force -- ${ezfio}/determinants/psi_{det,coef}.gz
rm --force -- ${ezfio}/determinants/n_det_qp_edit
rm --force -- ${ezfio}/determinants/psi_{det,coef}_qp_edit.gz
rm --force -- ${ezfio}/tc_bi_ortho/psi_{l,r}_coef_bi_ortho.gz
fi
if [[ $mos -eq 1 ]] ; then

62
config/flang_avx.cfg Normal file
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@ -0,0 +1,62 @@
# Common flags
##############
#
# -ffree-line-length-none : Needed for IRPF90 which produces long lines
# -lblas -llapack : Link with libblas and liblapack libraries provided by the system
# -I . : Include the curent directory (Mandatory)
#
# --ninja : Allow the utilisation of ninja. (Mandatory)
# --align=32 : Align all provided arrays on a 32-byte boundary
#
#
[COMMON]
FC : flang -ffree-line-length-none -I . -mavx -g -fPIC
LAPACK_LIB : -llapack -lblas
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 -DSET_NESTED
# Global options
################
#
# 1 : Activate
# 0 : Deactivate
#
[OPTION]
MODE : OPT ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
CACHE : 0 ; Enable cache_compile.py
OPENMP : 1 ; Append OpenMP flags
# Optimization flags
####################
#
# -Ofast : Disregard strict standards compliance. Enables all -O3 optimizations.
# It also enables optimizations that are not valid
# for all standard-compliant programs. It turns on
# -ffast-math and the Fortran-specific
# -fno-protect-parens and -fstack-arrays.
[OPT]
FCFLAGS : -Ofast -mavx
# Profiling flags
#################
#
[PROFILE]
FC : -p -g
FCFLAGS : -Ofast
# Debugging flags
#################
#
# -fcheck=all : Checks uninitialized variables, array subscripts, etc...
# -g : Extra debugging information
#
[DEBUG]
FCFLAGS : -fcheck=all -g
# OpenMP flags
#################
#
[OPENMP]
FC : -fopenmp
IRPF90_FLAGS : --openmp

62
config/gfortran10.cfg Normal file
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@ -0,0 +1,62 @@
# Common flags
##############
#
# -ffree-line-length-none : Needed for IRPF90 which produces long lines
# -lblas -llapack : Link with libblas and liblapack libraries provided by the system
# -I . : Include the curent directory (Mandatory)
#
# --ninja : Allow the utilisation of ninja. (Mandatory)
# --align=32 : Align all provided arrays on a 32-byte boundary
#
#
[COMMON]
FC : gfortran-10 -g -ffree-line-length-none -I . -fPIC
LAPACK_LIB : -lblas -llapack
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 --assert -DSET_NESTED
# Global options
################
#
# 1 : Activate
# 0 : Deactivate
#
[OPTION]
MODE : DEBUG ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
CACHE : 0 ; Enable cache_compile.py
OPENMP : 1 ; Append OpenMP flags
# Optimization flags
####################
#
# -Ofast : Disregard strict standards compliance. Enables all -O3 optimizations.
# It also enables optimizations that are not valid
# for all standard-compliant programs. It turns on
# -ffast-math and the Fortran-specific
# -fno-protect-parens and -fstack-arrays.
[OPT]
FCFLAGS : -Ofast
# Profiling flags
#################
#
[PROFILE]
FC : -p -g
FCFLAGS : -Ofast
# Debugging flags
#################
#
# -fcheck=all : Checks uninitialized variables, array subscripts, etc...
# -g : Extra debugging information
#
[DEBUG]
FCFLAGS : -g -msse4.2 -fcheck=all -Waliasing -Wampersand -Wconversion -Wsurprising -Wintrinsics-std -Wno-tabs -Wintrinsic-shadow -Wline-truncation -Wreal-q-constant -Wuninitialized -fbacktrace -ffpe-trap=zero,overflow,underflow -finit-real=nan
# OpenMP flags
#################
#
[OPENMP]
FC : -fopenmp
IRPF90_FLAGS : --openmp

2
config/gfortran_armpl.cfg
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@ -14,7 +14,7 @@
#
[COMMON]
FC : gfortran -g -ffree-line-length-none -I . -fPIC -march=native
LAPACK_LIB : -larmpl_lp64
LAPACK_LIB : -larmpl_lp64_mp
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 --assert -DSET_NESTED

62
config/gfortran_mpi_mkl.cfg Normal file
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@ -0,0 +1,62 @@
# Common flags
##############
#
# -ffree-line-length-none : Needed for IRPF90 which produces long lines
# -lblas -llapack : Link with libblas and liblapack libraries provided by the system
# -I . : Include the curent directory (Mandatory)
#
# --ninja : Allow the utilisation of ninja. (Mandatory)
# --align=32 : Align all provided arrays on a 32-byte boundary
#
#
[COMMON]
FC : mpif90 -ffree-line-length-none -I . -g -fPIC -std=legacy
LAPACK_LIB : -lblas -llapack
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 -DMPI -DSET_NESTED
# Global options
################
#
# 1 : Activate
# 0 : Deactivate
#
[OPTION]
MODE : OPT ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
CACHE : 0 ; Enable cache_compile.py
OPENMP : 1 ; Append OpenMP flags
# Optimization flags
####################
#
# -Ofast : Disregard strict standards compliance. Enables all -O3 optimizations.
# It also enables optimizations that are not valid
# for all standard-compliant programs. It turns on
# -ffast-math and the Fortran-specific
# -fno-protect-parens and -fstack-arrays.
[OPT]
FCFLAGS : -Ofast -msse4.2
# Profiling flags
#################
#
[PROFILE]
FC : -p -g
FCFLAGS : -Ofast -msse4.2
# Debugging flags
#################
#
# -fcheck=all : Checks uninitialized variables, array subscripts, etc...
# -g : Extra debugging information
#
[DEBUG]
FCFLAGS : -fcheck=all -g
# OpenMP flags
#################
#
[OPENMP]
FC : -fopenmp
IRPF90_FLAGS : --openmp

63
config/ifort_2019_avx_notz.cfg Normal file
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@ -0,0 +1,63 @@
# Common flags
##############
#
# -mkl=[parallel|sequential] : Use the MKL library
# --ninja : Allow the utilisation of ninja. It is mandatory !
# --align=32 : Align all provided arrays on a 32-byte boundary
#
[COMMON]
FC : ifort -fpic
LAPACK_LIB : -mkl=parallel
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 --define=WITHOUT_TRAILZ --define=WITHOUT_SHIFTRL -DSET_NESTED
# Global options
################
#
# 1 : Activate
# 0 : Deactivate
#
[OPTION]
MODE : OPT ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
CACHE : 0 ; Enable cache_compile.py
OPENMP : 1 ; Append OpenMP flags
# Optimization flags
####################
#
# -xHost : Compile a binary optimized for the current architecture
# -O2 : O3 not better than O2.
# -ip : Inter-procedural optimizations
# -ftz : Flushes denormal results to zero
#
[OPT]
FC : -traceback
FCFLAGS : -xAVX -O2 -ip -ftz -g
# Profiling flags
#################
#
[PROFILE]
FC : -p -g
FCFLAGS : -xSSE4.2 -O2 -ip -ftz
# Debugging flags
#################
#
# -traceback : Activate backtrace on runtime
# -fpe0 : All floating point exaceptions
# -C : Checks uninitialized variables, array subscripts, etc...
# -g : Extra debugging information
# -xSSE2 : Valgrind needs a very simple x86 executable
#
[DEBUG]
FC : -g -traceback
FCFLAGS : -xSSE2 -C -fpe0 -implicitnone
# OpenMP flags
#################
#
[OPENMP]
FC : -qopenmp
IRPF90_FLAGS : --openmp

2
config/ifort_2019_debug.cfg
View File

@ -7,7 +7,7 @@
#
[COMMON]
FC : ifort -fpic
LAPACK_LIB : -mkl=parallel -lirc -lsvml -limf -lipps
LAPACK_LIB : -mkl=parallel
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 --assert -DINTEL -DSET_NESTED

63
config/ifort_2021_avx_notz.cfg Normal file
View File

@ -0,0 +1,63 @@
# Common flags
##############
#
# -mkl=[parallel|sequential] : Use the MKL library
# --ninja : Allow the utilisation of ninja. It is mandatory !
# --align=32 : Align all provided arrays on a 32-byte boundary
#
[COMMON]
FC : ifort -fpic
LAPACK_LIB : -mkl=parallel
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 --define=WITHOUT_TRAILZ --define=WITHOUT_SHIFTRL
# Global options
################
#
# 1 : Activate
# 0 : Deactivate
#
[OPTION]
MODE : OPT ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
CACHE : 0 ; Enable cache_compile.py
OPENMP : 1 ; Append OpenMP flags
# Optimization flags
####################
#
# -xHost : Compile a binary optimized for the current architecture
# -O2 : O3 not better than O2.
# -ip : Inter-procedural optimizations
# -ftz : Flushes denormal results to zero
#
[OPT]
FC : -traceback
FCFLAGS : -xAVX -O2 -ip -ftz -g
# Profiling flags
#################
#
[PROFILE]
FC : -p -g
FCFLAGS : -xSSE4.2 -O2 -ip -ftz
# Debugging flags
#################
#
# -traceback : Activate backtrace on runtime
# -fpe0 : All floating point exaceptions
# -C : Checks uninitialized variables, array subscripts, etc...
# -g : Extra debugging information
# -xSSE2 : Valgrind needs a very simple x86 executable
#
[DEBUG]
FC : -g -traceback
FCFLAGS : -xSSE2 -C -fpe0 -implicitnone
# OpenMP flags
#################
#
[OPENMP]
FC : -qopenmp
IRPF90_FLAGS : --openmp

66
config/ifort_2021_debug.cfg Normal file
View File

@ -0,0 +1,66 @@
# Common flags
##############
#
# -mkl=[parallel|sequential] : Use the MKL library
# --ninja : Allow the utilisation of ninja. It is mandatory !
# --align=32 : Align all provided arrays on a 32-byte boundary
#
[COMMON]
FC : ifort -fpic
LAPACK_LIB : -mkl=parallel
IRPF90 : irpf90
IRPF90_FLAGS : --ninja --align=32 --assert -DINTEL
# Global options
################
#
# 1 : Activate
# 0 : Deactivate
#
[OPTION]
MODE : DEBUG ; [ OPT | PROFILE | DEBUG ] : Chooses the section below
CACHE : 0 ; Enable cache_compile.py
OPENMP : 1 ; Append OpenMP flags
# Optimization flags
####################
#
# -xHost : Compile a binary optimized for the current architecture
# -O2 : O3 not better than O2.
# -ip : Inter-procedural optimizations
# -ftz : Flushes denormal results to zero
#
[OPT]
FC : -traceback
FCFLAGS : -msse4.2 -O2 -ip -ftz -g
# Profiling flags
#################
#
[PROFILE]
FC : -p -g
FCFLAGS : -msse4.2 -O2 -ip -ftz
# Debugging flags
#################
#
# -traceback : Activate backtrace on runtime
# -fpe0 : All floating point exaceptions
# -C : Checks uninitialized variables, array subscripts, etc...
# -g : Extra debugging information
# -msse4.2 : Valgrind needs a very simple x86 executable
#
[DEBUG]
FC : -g -traceback
FCFLAGS : -msse4.2 -check all -debug all -fpe-all=0 -implicitnone
# OpenMP flags
#################
#
[OPENMP]
FC : -qopenmp
IRPF90_FLAGS : --openmp

46
configure vendored
View File

@ -191,7 +191,7 @@ if [[ "${PACKAGES}.x" != ".x" ]] ; then
fi
if [[ ${PACKAGES} = all ]] ; then
PACKAGES="zlib ninja zeromq f77zmq gmp ocaml docopt resultsFile bats trexio"
PACKAGES="zlib ninja zeromq f77zmq gmp ocaml docopt resultsFile bats trexio qmckl"
fi
@ -211,11 +211,11 @@ EOF
execute << EOF
cd "\${QP_ROOT}"/external
wget https://github.com/TREX-CoE/trexio/releases/download/v${VERSION}/trexio-${VERSION}.tar.gz
tar -zxf trexio-${VERSION}.tar.gz
rm -rf trexio-${VERSION}
tar -zxf trexio-${VERSION}.tar.gz && rm trexio-${VERSION}.tar.gz
cd trexio-${VERSION}
./configure --prefix=\${QP_ROOT} --without-hdf5
./configure --prefix=\${QP_ROOT} --without-hdf5 CFLAGS='-g'
make -j 8 && make -j 8 check && make -j 8 install
cp ${QP_ROOT}/include/trexio_f.f90 ${QP_ROOT}/src/ezfio_files
tar -zxvf "\${QP_ROOT}"/external/qp2-dependencies/${ARCHITECTURE}/ninja.tar.gz
mv ninja "\${QP_ROOT}"/bin/
EOF
@ -225,11 +225,35 @@ EOF
execute << EOF
cd "\${QP_ROOT}"/external
wget https://github.com/TREX-CoE/trexio/releases/download/v${VERSION}/trexio-${VERSION}.tar.gz
tar -zxf trexio-${VERSION}.tar.gz
rm -rf trexio-${VERSION}
tar -zxf trexio-${VERSION}.tar.gz && rm trexio-${VERSION}.tar.gz
cd trexio-${VERSION}
./configure --prefix=\${QP_ROOT}
./configure --prefix=\${QP_ROOT} CFLAGS="-g"
make -j 8 && make -j 8 check && make -j 8 install
cp ${QP_ROOT}/include/trexio_f.f90 ${QP_ROOT}/src/ezfio_files
EOF
elif [[ ${PACKAGE} = qmckl ]] ; then
VERSION=0.5.4
execute << EOF
cd "\${QP_ROOT}"/external
wget https://github.com/TREX-CoE/qmckl/releases/download/v${VERSION}/qmckl-${VERSION}.tar.gz
rm -rf qmckl-${VERSION}
tar -zxf qmckl-${VERSION}.tar.gz && rm qmckl-${VERSION}.tar.gz
cd qmckl-${VERSION}
./configure --prefix=\${QP_ROOT} --enable-hpc --disable-doc CFLAGS='-g'
make && make -j 4 check && make install
EOF
elif [[ ${PACKAGE} = qmckl-intel ]] ; then
VERSION=0.5.4
execute << EOF
cd "\${QP_ROOT}"/external
wget https://github.com/TREX-CoE/qmckl/releases/download/v${VERSION}/qmckl-${VERSION}.tar.gz
rm -rf qmckl-${VERSION}
tar -zxf qmckl-${VERSION}.tar.gz && rm qmckl-${VERSION}.tar.gz
cd qmckl-${VERSION}
./configure --prefix=\${QP_ROOT} --enable-hpc --disable-doc --with-icc --with-ifort CFLAGS='-g'
make && make -j 4 check && make install
EOF
@ -369,7 +393,13 @@ fi
TREXIO=$(find_lib -ltrexio)
if [[ ${TREXIO} = $(not_found) ]] ; then
error "TREXIO (trexio,trexio-nohdf5) is not installed. If you don't have HDF5, use trexio-nohdf5"
error "TREXIO (trexio | trexio-nohdf5) is not installed. If you don't have HDF5, use trexio-nohdf5"
fail
fi
QMCKL=$(find_lib -lqmckl)
if [[ ${QMCKL} = $(not_found) ]] ; then
error "QMCkl (qmckl | qmckl-intel) is not installed."
fail
fi

696
data/basis/cc-pv5z_ecp_bfd
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File diff suppressed because it is too large Load Diff

920
data/pseudo/def2 Normal file
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@ -0,0 +1,920 @@
$ECP
RB-ECP GEN 28 3
1 ----- f-ul potential -----
-12.3169000 2 3.8431140
3 ----- s-f potential -----
89.5001980 2 5.0365510
0.4937610 2 1.9708490
12.3169000 2 3.8431140
3 ----- p-f potential -----
58.5689740 2 4.2583410
0.4317910 2 1.4707090
12.3169000 2 3.8431140
3 ----- d-f potential -----
26.2248980 2 3.0231270
0.9628390 2 0.6503830
12.3169000 2 3.8431140
SR-ECP GEN 28 3
1 ----- f-ul potential -----
-15.8059920 2 4.6339750
3 ----- s-f potential -----
135.4794300 2 7.4000740
17.5344630 2 3.6063790
15.8059920 2 4.6339750
3 ----- p-f potential -----
88.3597090 2 6.4848680
15.3943720 2 3.2880530
15.8059920 2 4.6339750
3 ----- d-f potential -----
29.8889870 2 4.6228410
6.6594140 2 2.2469040
15.8059920 2 4.6339750
Y-ECP GEN 28 3
2 ----- f-ul potential -----
-19.12219811 2 6.5842120
-2.43637543 2 3.2921060
4 ----- s-f potential -----
135.15384412 2 7.4880494
15.55244130 2 3.7440247
19.12219811 2 6.5842120
2.43637543 2 3.2921060
4 ----- p-f potential -----
87.78499167 2 6.4453772
11.56406599 2 3.2226886
19.12219811 2 6.5842120
2.43637543 2 3.2921060
4 ----- d-f potential -----
29.70100072 2 4.6584472
5.53996847 2 2.3292236
19.12219811 2 6.5842120
2.43637543 2 3.2921060
ZR-ECP GEN 28 3
2 ----- f-ul potential -----
-21.09377605 2 7.5400000
-3.08069427 2 3.7700000
4 ----- s-f potential -----
150.26759106 2 8.2000000
18.97621650 2 4.0897278
21.09377605 2 7.5400000
3.08069427 2 3.7700000
4 ----- p-f potential -----
99.62212372 2 7.1100000
14.16873329 2 3.5967980
21.09377605 2 7.5400000
3.08069427 2 3.7700000
4 ----- d-f potential -----
35.04512355 2 5.3500000
6.11125948 2 2.4918215
21.09377605 2 7.5400000
3.08069427 2 3.7700000
NB-ECP GEN 28 3
2 ----- f-ul potential -----
-22.92954996 2 8.4900000
-3.66630986 2 4.2500000
4 ----- s-f potential -----
165.17914349 2 8.9000000
21.99297437 2 4.4300000
22.92954996 2 8.4900000
3.66630986 2 4.2500000
4 ----- p-f potential -----
111.79441445 2 7.7700000
16.63348326 2 3.9600000
22.92954996 2 8.4900000
3.66630986 2 4.2500000
4 ----- d-f potential -----
38.11224880 2 6.0500000
8.03916727 2 2.8400000
22.92954996 2 8.4900000
3.66630986 2 4.2500000
MO-ECP GEN 28 3
2 ----- f-ul potential -----
-24.80517707 2 9.4500000
-4.15378155 2 4.7200000
4 ----- s-f potential -----
180.10310850 2 9.7145938
24.99722791 2 4.6805004
24.80517707 2 9.4500000
4.15378155 2 4.7200000
4 ----- p-f potential -----
123.77275231 2 8.1421366
19.53022800 2 4.6259863
24.80517707 2 9.4500000
4.15378155 2 4.7200000
4 ----- d-f potential -----
48.37502229 2 6.6184148
8.89205274 2 3.2487516
24.80517707 2 9.4500000
4.15378155 2 4.7200000
TC-ECP GEN 28 3
2 ----- f-ul potential -----
-26.56244747 2 10.4000000
-4.58568054 2 5.2000000
4 ----- s-f potential -----
195.15916591 2 10.4223462
28.09260333 2 5.0365160
26.56244747 2 10.4000000
4.58568054 2 5.2000000
4 ----- p-f potential -----
135.28456622 2 8.9504494
21.80650430 2 4.8544394
26.56244747 2 10.4000000
4.58568054 2 5.2000000
4 ----- d-f potential -----
54.32972942 2 6.9456968
11.15506795 2 3.9705849
26.56244747 2 10.4000000
4.58568054 2 5.2000000
RU-ECP GEN 28 3
2 ----- f-ul potential -----
-28.34061627 2 11.3600000
-4.94462923 2 5.6800000
4 ----- s-f potential -----
209.82297122 2 11.1052693
30.65472642 2 5.4147454
28.34061627 2 11.3600000
4.94462923 2 5.6800000
4 ----- p-f potential -----
146.33618228 2 9.7712707
24.12787723 2 5.0739908
28.34061627 2 11.3600000
4.94462923 2 5.6800000
4 ----- d-f potential -----
67.51589667 2 7.6714231
9.87010415 2 4.1365647
28.34061627 2 11.3600000
4.94462923 2 5.6800000
RH-ECP GEN 28 3
2 ----- f-ul potential -----
-30.09345572 2 12.3100000
-5.21848192 2 6.1600000
4 ----- s-f potential -----
225.34775353 2 11.7200000
32.82318898 2 5.8200000
30.09345572 2 12.3100000
5.21848192 2 6.1600000
4 ----- p-f potential -----
158.70941159 2 10.4200000
26.44410049 2 5.4500000
30.09345572 2 12.3100000
5.21848192 2 6.1600000
4 ----- d-f potential -----
62.75862572 2 8.8200000
10.97871947 2 3.8700000
30.09345572 2 12.3100000
5.21848192 2 6.1600000
PD-ECP GEN 28 3
2 ----- f-ul potential -----
-31.92955431 2 13.2700000
-5.39821694 2 6.6300000
4 ----- s-f potential -----
240.22904033 2 12.4300000
35.17194347 2 6.1707594
31.92955431 2 13.2700000
5.39821694 2 6.6300000
4 ----- p-f potential -----
170.41727605 2 11.0800000
28.47213287 2 5.8295541
31.92955431 2 13.2700000
5.39821694 2 6.6300000
4 ----- d-f potential -----
69.01384488 2 9.5100000
11.75086158 2 4.1397811
31.92955431 2 13.2700000
5.39821694 2 6.6300000
AG-ECP GEN 28 3
2 ----- f-ul potential -----
-33.68992012 2 14.2200000
-5.53112021 2 7.1100000
4 ----- s-f potential -----
255.13936452 2 13.1300000
36.86612154 2 6.5100000
33.68992012 2 14.2200000
5.53112021 2 7.1100000
4 ----- p-f potential -----
182.18186871 2 11.7400000
30.35775148 2 6.2000000
33.68992012 2 14.2200000
5.53112021 2 7.1100000
4 ----- d-f potential -----
73.71926087 2 10.2100000
12.50211712 2 4.3800000
33.68992012 2 14.2200000
5.53112021 2 7.1100000
CD-ECP GEN 28 3
2 ----- f-ul potential -----
-35.47662555 2 15.1847957
-5.61767685 2 7.5923978
4 ----- s-f potential -----
270.00948324 2 13.8358689
38.76730798 2 6.8572704
35.47662555 2 15.1847957
5.61767685 2 7.5923978
4 ----- p-f potential -----
193.82962939 2 12.4049710
31.89652523 2 6.5677995
35.47662555 2 15.1847957
5.61767685 2 7.5923978
4 ----- d-f potential -----
79.19364700 2 10.8969253
13.23082674 2 4.6411649
35.47662555 2 15.1847957
5.61767685 2 7.5923978
IN-ECP GEN 28 3
2 ----- f-ul potential -----
-13.72807800 2 12.53905600
-18.20686600 2 12.55256100
4 ----- s-f potential -----
281.12235000 2 15.39282200
61.90147000 2 8.05586400
13.72807800 2 12.53905600
18.20686600 2 12.55256100
6 ----- p-f potential -----
67.46215400 2 13.92867200
134.94925000 2 13.34723400
14.74614000 2 7.61413200
29.63926200 2 7.31836500
13.72807800 2 12.53905600
18.20686600 2 12.55256100
6 ----- d-f potential -----
35.49325400 2 14.03471500
53.17877300 2 14.51161600
9.17728100 2 5.55055000
12.39241000 2 5.05941500
13.72807800 2 12.53905600
18.20686600 2 12.55256100
SN-ECP GEN 28 3
2 ----- f-ul potential -----
-12.57633300 2 12.28234800
-16.59594400 2 12.27215000
4 ----- s-f potential -----
279.98868200 2 17.42041400
62.37781000 2 7.63115500
12.57633300 2 12.28234800
16.59594400 2 12.27215000
6 ----- p-f potential -----
66.16252300 2 16.13102400
132.17439600 2 15.62807700
16.33941700 2 7.32560800
32.48895900 2 6.94251900
12.57633300 2 12.28234800
16.59594400 2 12.27215000
6 ----- d-f potential -----
36.38744100 2 15.51497600
54.50784100 2 15.18816000
8.69682300 2 5.45602400
12.84020800 2 5.36310500
12.57633300 2 12.28234800
16.59594400 2 12.27215000
SB-ECP GEN 28 3
2 ----- f-ul potential -----
-15.36680100 2 14.44497800
-20.29613800 2 14.44929500
4 ----- s-f potential -----
281.07158100 2 16.33086500
61.71660400 2 8.55654200
15.36680100 2 14.44497800
20.29613800 2 14.44929500
6 ----- p-f potential -----
67.45738000 2 14.47033700
134.93350300 2 13.81619400
14.71634400 2 8.42492400
29.51851200 2 8.09272800
15.36680100 2 14.44497800
20.29613800 2 14.44929500
6 ----- d-f potential -----
35.44781500 2 14.88633100
53.14346600 2 15.14631900
9.17922300 2 5.90826700
13.24025300 2 5.59432200
15.36680100 2 14.44497800
20.29613800 2 14.44929500
TE-ECP GEN 28 3
2 ----- f-ul potential -----
-15.74545000 2 15.20616800
-20.74244800 2 15.20170200
4 ----- s-f potential -----
281.04584300 2 16.81447300
61.62065600 2 8.79352600
15.74545000 2 15.20616800
20.74244800 2 15.20170200
6 ----- p-f potential -----
67.44946400 2 14.87780100
134.90430400 2 14.26973100
14.68954700 2 8.72443500
29.41506300 2 8.29151500
15.74545000 2 15.20616800
20.74244800 2 15.20170200
6 ----- d-f potential -----
35.43205700 2 15.20500800
53.13568700 2 15.22584800
9.06980200 2 6.07176900
13.12230400 2 5.80476000
15.74545000 2 15.20616800
20.74244800 2 15.20170200
I-ECP GEN 28 3
4 ----- f-ul potential -----
-21.84204000 2 19.45860900
-28.46819100 2 19.34926000
-0.24371300 2 4.82376700
-0.32080400 2 4.88431500
7 ----- s-f potential -----
49.99429300 2 40.01583500
281.02531700 2 17.42974700
61.57332600 2 9.00548400
21.84204000 2 19.45860900
28.46819100 2 19.34926000
0.24371300 2 4.82376700
0.32080400 2 4.88431500
8 ----- p-f potential -----
67.44284100 2 15.35546600
134.88113700 2 14.97183300
14.67505100 2 8.96016400
29.37566600 2 8.25909600
21.84204000 2 19.45860900
28.46819100 2 19.34926000
0.24371300 2 4.82376700
0.32080400 2 4.88431500
10 ----- d-f potential -----
35.43952900 2 15.06890800
53.17605700 2 14.55532200
9.06719500 2 6.71864700
13.20693700 2 6.45639300
0.08933500 2 1.19177900
0.05238000 2 1.29115700
21.84204000 2 19.45860900
28.46819100 2 19.34926000
0.24371300 2 4.82376700
0.32080400 2 4.88431500
XE-ECP GEN 28 3
4 ----- f-ul potential -----
-23.08929500 2 20.88155700
-30.07447500 2 20.78344300
-0.28822700 2 5.25338900
-0.38692400 2 5.36118800
7 ----- s-f potential -----
49.99796200 2 40.00518400
281.01330300 2 17.81221400
61.53825500 2 9.30415000
23.08929500 2 20.88155700
30.07447500 2 20.78344300
0.28822700 2 5.25338900
0.38692400 2 5.36118800
8 ----- p-f potential -----
67.43914200 2 15.70177200
134.87471100 2 15.25860800
14.66330000 2 9.29218400
29.35473000 2 8.55900300
23.08929500 2 20.88155700
30.07447500 2 20.78344300
0.28822700 2 5.25338900
0.38692400 2 5.36118800
10 ----- d-f potential -----
35.43690800 2 15.18560000
53.19577200 2 14.28450000
9.04623200 2 7.12188900
13.22368100 2 6.99196300
0.08485300 2 0.62394600
0.04415500 2 0.64728400
23.08929500 2 20.88155700
30.07447500 2 20.78344300
0.28822700 2 5.25338900
0.38692400 2 5.36118800
CS-ECP GEN 46 3
1 ----- f-ul potential -----
-28.8843090 2 3.1232690
3 ----- s-f potential -----
84.5477300 2 4.0797500
16.6541730 2 2.4174060
28.8843090 2 3.1232690
3 ----- p-f potential -----
157.0490590 2 5.5140800
26.4233070 2 2.1603160
28.8843090 2 3.1232690
3 ----- d-f potential -----
13.1727530 2 1.8074100
3.3428330 2 0.8581820
28.8843090 2 3.1232690
BA-ECP GEN 46 3
1 ----- f-ul potential -----
-33.4731740 2 3.5894650
3 ----- s-f potential -----
427.8458160 2 9.5269860
204.4175300 2 4.4875100
33.4731740 2 3.5894650
3 ----- p-f potential -----
293.6058640 2 8.3159300
294.1933160 2 4.2922170
33.4731740 2 3.5894650
3 ----- d-f potential -----
112.5504020 2 5.9161080
181.7826210 2 2.8748420
33.4731740 2 3.5894650
LA-ECP GEN 46 3
1 ----- f-ul potential -----
-36.0100160 2 4.0286000
3 ----- s-f potential -----
91.9321770 2 3.3099000
-3.7887640 2 1.6550000
36.0100160 2 4.0286000
3 ----- p-f potential -----
63.7594860 2 2.8368000
-0.6479580 2 1.4184000
36.0100160 2 4.0286000
3 ----- d-f potential -----
36.1161730 2 2.0213000
0.2191140 2 1.0107000
36.0100160 2 4.0286000
CE-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
580.08345700 2 20.13782900
1 ----- p-h potential -----
310.30283300 2 15.99848200
1 ----- d-h potential -----
167.81394400 2 14.97418700
1 ----- f-h potential -----
-49.39022900 2 23.40245500
1 ----- g-h potential -----
-21.33187900 2 16.57055300
PR-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
577.57312200 2 20.76627800
1 ----- p-h potential -----
295.78584600 2 16.07844800
1 ----- d-h potential -----
150.86705500 2 14.70508900
1 ----- f-h potential -----
-48.73676600 2 23.37896900
1 ----- g-h potential -----
-22.32948800 2 17.44713800
ND-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
574.37098000 2 21.35226700
1 ----- p-h potential -----
280.94644000 2 16.11926500
1 ----- d-h potential -----
138.67062700 2 14.49410300
1 ----- f-h potential -----
-47.52266800 2 23.18386000
1 ----- g-h potential -----
-23.34458700 2 18.34417400
PM-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
575.39574900 2 21.94286500
1 ----- p-h potential -----
281.70451400 2 16.55516100
1 ----- d-h potential -----
123.52473700 2 13.96030800
1 ----- f-h potential -----
-50.74151100 2 24.03354600
1 ----- g-h potential -----
-24.37251000 2 19.26024500
SM-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
572.98533200 2 22.34447100
1 ----- p-h potential -----
272.35914500 2 16.69459000
1 ----- d-h potential -----
115.29390000 2 13.72770500
1 ----- f-h potential -----
-51.10839200 2 24.05909200
1 ----- g-h potential -----
-25.42188500 2 20.19724900
EU-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
607.65933100 2 23.47138400
1 ----- p-h potential -----
264.38547600 2 16.77247900
1 ----- d-h potential -----
115.38137500 2 13.98134300
1 ----- f-h potential -----
-49.40079400 2 23.96288800
1 ----- g-h potential -----
-26.74827300 2 21.23245800
GD-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
637.20086900 2 24.60215100
1 ----- p-h potential -----
261.68960100 2 16.88925000
1 ----- d-h potential -----
106.85653300 2 13.64335800
1 ----- f-h potential -----
-50.68359000 2 24.12691700
1 ----- g-h potential -----
-27.57963000 2 22.13188700
TB-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
668.59715500 2 24.95295600
1 ----- p-h potential -----
266.98047500 2 17.61089900
1 ----- d-h potential -----
97.50659600 2 12.97600900
1 ----- f-h potential -----
-52.17575700 2 24.24886900
1 ----- g-h potential -----
-28.69426800 2 23.13067200
DY-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
705.67122100 2 26.42958600
1 ----- p-h potential -----
254.86698900 2 17.31703400
1 ----- d-h potential -----
95.04518700 2 12.91359900
1 ----- f-h potential -----
-54.57409300 2 24.90787800
1 ----- g-h potential -----
-29.82827700 2 24.14875300
HO-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
755.70313600 2 28.39725700
1 ----- p-h potential -----
253.55199800 2 17.43863300
1 ----- d-h potential -----
89.63567700 2 12.43421200
1 ----- f-h potential -----
-55.48203600 2 25.38701000
1 ----- g-h potential -----
-30.99112500 2 25.18850100
ER-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
800.95287600 2 29.79859200
1 ----- p-h potential -----
262.01986900 2 18.11423700
1 ----- d-h potential -----
80.17055200 2 11.36958700
1 ----- f-h potential -----
-42.33628500 2 21.82123300
1 ----- g-h potential -----
-32.18527800 2 26.25073500
TM-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
845.51074300 2 31.14412200
1 ----- p-h potential -----
258.58523900 2 18.09235300
1 ----- d-h potential -----
80.72905900 2 11.46915900
1 ----- f-h potential -----
-48.70126600 2 23.60554400
1 ----- g-h potential -----
-33.39549600 2 27.32978100
YB-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
891.01377700 2 32.42448400
1 ----- p-h potential -----
264.03695300 2 18.65623200
1 ----- d-h potential -----
73.92391900 2 10.49022200
1 ----- f-h potential -----
-39.59217300 2 20.77418300
1 ----- g-h potential -----
-34.63863800 2 28.43102800
LU-ECP GEN 28 5
1 ----- h-ul potential -----
0.00000000 2 1.00000000
1 ----- s-h potential -----
989.99558400 2 35.16209700
1 ----- p-h potential -----
278.86565200 2 19.46440200
1 ----- d-h potential -----
71.00917800 2 10.00686500
1 ----- f-h potential -----
-47.40589000 2 23.51793200
1 ----- g-h potential -----
-35.55714600 2 29.41223800
HF-ECP GEN 60 3
1 ----- f-ul potential -----
10.04672251 2 1.78576984
3 ----- s-f potential -----
1499.28471073 2 14.76995900
40.28210136 2 7.38497940
-10.04672251 2 1.78576984
3 ----- p-f potential -----
397.73300533 2 9.84948950
19.31640586 2 4.92474450
-10.04672251 2 1.78576984
3 ----- d-f potential -----
101.32980526 2 6.09675640
5.87343821 2 3.04837820
-10.04672251 2 1.78576984
TA-ECP GEN 60 3
1 ----- f-ul potential -----
12.01796094 2 2.01788111
3 ----- s-f potential -----
1345.88064703 2 14.54640770
36.76680620 2 7.27320380
-12.01796094 2 2.01788111
3 ----- p-f potential -----
378.42530145 2 9.93556529
22.29309086 2 4.96778243
-12.01796094 2 2.01788111
3 ----- d-f potential -----
104.88395571 2 6.34737691
8.75584805 2 3.17368846
-12.01796094 2 2.01788111
W-ECP GEN 60 3
1 ----- f-ul potential -----
14.15257947 2 2.25888846
3 ----- s-f potential -----
1192.39588226 2 14.32285640
32.52293315 2 7.16142810
-14.15257947 2 2.25888846
3 ----- p-f potential -----
359.03196711 2 10.02164110
24.03038019 2 5.01082040
-14.15257947 2 2.25888846
3 ----- d-f potential -----
108.30134897 2 6.59799743
10.98252827 2 3.29899871
-14.15257947 2 2.25888846
RE-ECP GEN 60 3
1 ----- f-ul potential -----
16.44985227 2 2.50865059
3 ----- s-f potential -----
1038.95157226 2 14.09930510
29.56173830 2 7.04965250
-16.44985227 2 2.50865059
3 ----- p-f potential -----
339.54350965 2 10.10771690
24.91369646 2 5.05385830
-16.44985227 2 2.50865059
3 ----- d-f potential -----
111.69965275 2 6.84861794
12.62432927 2 3.42430897
-16.44985227 2 2.50865059
OS-ECP GEN 60 3
1 ----- f-ul potential -----
18.90945701 2 2.76707510
3 ----- s-f potential -----
885.40571914 2 13.87575390
25.96704014 2 6.93787690
-18.90945701 2 2.76707510
3 ----- p-f potential -----
320.08390185 2 10.19379260
26.14876493 2 5.09689620
-18.90945701 2 2.76707510
3 ----- d-f potential -----
115.04484313 2 7.09923846
13.62257457 2 3.54961923
-18.90945701 2 2.76707510
IR-ECP GEN 60 3
1 ----- f-ul potential -----
21.53103107 2 3.03407192
3 ----- s-f potential -----
732.26919978 2 13.65220260
26.48472087 2 6.82610130
-21.53103107 2 3.03407192
3 ----- p-f potential -----
299.48947357 2 10.27986840
26.46623354 2 5.13993410
-21.53103107 2 3.03407192
3 ----- d-f potential -----
124.45759451 2 7.34985897
14.03599518 2 3.67492949
-21.53103107 2 3.03407192
PT-ECP GEN 60 3
1 ----- f-ul potential -----
24.31437573 2 3.30956857
3 ----- s-f potential -----
579.22386092 2 13.42865130
29.66949062 2 6.71432560
-24.31437573 2 3.30956857
3 ----- p-f potential -----
280.86077422 2 10.36594420
26.74538204 2 5.18297210
-24.31437573 2 3.30956857
3 ----- d-f potential -----
120.39644429 2 7.60047949
15.81092058 2 3.80023974
-24.31437573 2 3.30956857
AU-ECP GEN 60 3
2 ----- f-ul potential -----
30.49008890 2 4.78982000
5.17107381 2 2.39491000
4 ----- s-f potential -----
426.84667920 2 13.20510000
37.00708285 2 6.60255000
-30.49008890 2 4.78982000
-5.17107381 2 2.39491000
4 ----- p-f potential -----
261.19958038 2 10.45202000
26.96249604 2 5.22601000
-30.49008890 2 4.78982000
-5.17107381 2 2.39491000
4 ----- d-f potential -----
124.79066561 2 7.85110000
16.30072573 2 3.92555000
-30.49008890 2 4.78982000
-5.17107381 2 2.39491000
HG-ECP GEN 60 3
1 ----- f-ul potential -----
30.36499643 2 3.88579112
3 ----- s-f potential -----
275.73721174 2 12.98154870
49.08921249 2 6.49077440
-30.36499643 2 3.88579112
3 ----- p-f potential -----
241.54007398 2 10.53809580
27.39659081 2 5.26904790
-30.36499643 2 3.88579112
3 ----- d-f potential -----
127.86700761 2 8.10172051
16.60831151 2 4.05086026
-30.36499643 2 3.88579112
TL-ECP GEN 60 3
4 ----- f-ul potential -----
15.82548800 2 5.62639900
21.10402100 2 5.54895200
2.91512700 2 2.87494600
3.89690300 2 2.82145100
6 ----- s-f potential -----
281.28466300 2 12.16780500
62.43425100 2 8.29490900
-15.82548800 2 5.62639900
-21.10402100 2 5.54895200
-2.91512700 2 2.87494600
-3.89690300 2 2.82145100
8 ----- p-f potential -----
4.63340800 2 7.15149200
9.34175600 2 5.17286500
72.29925300 2 9.89107200
144.55803700 2 9.00339100
-15.82548800 2 5.62639900
-21.10402100 2 5.54895200
-2.91512700 2 2.87494600
-3.89690300 2 2.82145100
8 ----- d-f potential -----
35.94303900 2 7.13021800
53.90959300 2 6.92690600
10.38193900 2 5.41757000
15.58382200 2 5.13868100
-15.82548800 2 5.62639900
-21.10402100 2 5.54895200
-2.91512700 2 2.87494600
-3.89690300 2 2.82145100
PB-ECP GEN 60 3
2 ----- f-ul potential -----
12.20989200 2 3.88751200
16.19029100 2 3.81196300
4 ----- s-f potential -----
281.28549900 2 12.29630300
62.52021700 2 8.63263400
-12.20989200 2 3.88751200
-16.19029100 2 3.81196300
6 ----- p-f potential -----
72.27689700 2 10.24179000
144.59108300 2 8.92417600
4.75869300 2 6.58134200
9.94062100 2 6.25540300
-12.20989200 2 3.88751200
-16.19029100 2 3.81196300
6 ----- d-f potential -----
35.84850700 2 7.75433600
53.72434200 2 7.72028100
10.11525600 2 4.97026400
14.83373100 2 4.56378900
-12.20989200 2 3.88751200
-16.19029100 2 3.81196300
BI-ECP GEN 60 3
2 ----- f-ul potential -----
13.71338300 2 4.21454600
18.19430800 2 4.13340000
4 ----- s-f potential -----
283.26422700 2 13.04309000
62.47195900 2 8.22168200
-13.71338300 2 4.21454600
-18.19430800 2 4.13340000
6 ----- p-f potential -----
72.00149900 2 10.46777700
144.00227700 2 9.11890100
5.00794500 2 6.75479100
9.99155000 2 6.25259200
-13.71338300 2 4.21454600
-18.19430800 2 4.13340000
6 ----- d-f potential -----
36.39625900 2 8.08147400
54.59766400 2 7.89059500
9.98429400 2 4.95555600
14.98148500 2 4.70455900
-13.71338300 2 4.21454600
-18.19430800 2 4.13340000
PO-ECP GEN 60 3
4 ----- f-ul potential -----
17.42829500 2 5.01327000
23.38035300 2 4.98464000
0.16339200 2 1.32676000
0.32456600 2 1.52875800
6 ----- s-f potential -----
283.24470600 2 13.27722700
62.39646100 2 8.39951800
-17.42829500 2 5.01327000
-23.38035300 2 4.98464000
-0.16339200 2 1.32676000
-0.32456600 2 1.52875800
8 ----- p-f potential -----
71.99171600 2 10.66568200
143.97187100 2 9.28375300
4.94961500 2 6.87274900
9.74049900 2 6.32615000
-17.42829500 2 5.01327000
-23.38035300 2 4.98464000
-0.16339200 2 1.32676000
-0.32456600 2 1.52875800
8 ----- d-f potential -----
36.37838300 2 8.21486600
54.56271500 2 8.00869600
9.88949900 2 5.05522700
14.69387700 2 4.78255300
-17.42829500 2 5.01327000
-23.38035300 2 4.98464000
-0.16339200 2 1.32676000
-0.32456600 2 1.52875800
AT-ECP GEN 60 3
4 ----- f-ul potential -----
19.87019800 2 5.81216300
26.41645200 2 5.75371500
0.99497000 2 2.51347200
1.49070100 2 2.53626100
7 ----- s-f potential -----
49.95715800 2 30.20083200
283.21037100 2 13.61230600
62.28105200 2 8.52934000
-19.87019800 2 5.81216300
-26.41645200 2 5.75371500
-0.99497000 2 2.51347200
-1.49070100 2 2.53626100
8 ----- p-f potential -----
71.98237100 2 10.85406500
143.90353200 2 9.46822900
4.87175900 2 7.03111400
8.98305900 2 6.14385800
-19.87019800 2 5.81216300
-26.41645200 2 5.75371500
-0.99497000 2 2.51347200
-1.49070100 2 2.53626100
8 ----- d-f potential -----
36.36323700 2 8.31351500
54.54897000 2 7.99896500
9.77628500 2 5.17996600
14.26475500 2 4.94222600
-19.87019800 2 5.81216300
-26.41645200 2 5.75371500
-0.99497000 2 2.51347200
-1.49070100 2 2.53626100
RN-ECP GEN 60 3
4 ----- f-ul potential -----
21.79729000 2 6.34857100
28.94680500 2 6.29594900
1.44736500 2 2.88211800
2.17796400 2 2.90804800
7 ----- s-f potential -----
49.96555100 2 30.15124200
283.07000000 2 14.52124100
62.00287000 2 8.05203800
-21.79729000 2 6.34857100
-28.94680500 2 6.29594900
-1.44736500 2 2.88211800
-2.17796400 2 2.90804800
8 ----- p-f potential -----
71.96911900 2 11.00994200
143.86055900 2 9.61762500
4.71476100 2 7.33600800
9.01306500 2 6.40625300
-21.79729000 2 6.34857100
-28.94680500 2 6.29594900
-1.44736500 2 2.88211800
-2.17796400 2 2.90804800
8 ----- d-f potential -----
36.36836500 2 8.36922000
54.55176100 2 8.11697500
9.63448700 2 5.35365600
14.38790200 2 5.09721200
-21.79729000 2 6.34857100
-28.94680500 2 6.29594900
-1.44736500 2 2.88211800
-2.17796400 2 2.90804800
$END

13
etc/qp.rc
View File

@ -188,7 +188,18 @@ _qp_Complete()
;;
esac;;
set_file)
COMPREPLY=( $(compgen -W "$(for i in */ $(find . -name ezfio | sed 's/ezfio$/.version/') ; do [[ -f $i ]] && echo ${i%/.version} ; done)" -- ${cur} ) )
# Array to store directory names
dirs=""
# Find directories containing "ezfio/.version" file recursively
for i in $(find . -name ezfio | sed 's/ezfio$/.version/')
do
dir_name=${i%/.version} # Remove the ".version" suffix
dir_name=${dir_name#./} # Remove the leading "./"
dirs+="./$dir_name "
done
COMPREPLY=( $(compgen -W "$dirs" -- ${cur} ) )
return 0
;;
plugins)

2
external/ezfio vendored

@ -1 +1 @@
Subproject commit d5805497fa0ef30e70e055cde1ecec2963303e93
Subproject commit dba01c4fe0ff7b84c5ecfb1c7c77ec68781311b3

11
ocaml/Input_ao_basis.ml
View File

@ -44,8 +44,12 @@ end = struct
let get_default = Qpackage.get_ezfio_default "ao_basis";;
let read_ao_basis () =
let result =
Ezfio.get_ao_basis_ao_basis ()
|> AO_basis_name.of_string
in
if result <> "None" then
AO_basis_name.of_string result
else failwith "No basis"
;;
let read_ao_num () =
@ -267,7 +271,10 @@ end = struct
|> Ezfio.set_ao_basis_ao_md5 ;
Some result
with
| _ -> (Ezfio.set_ao_basis_ao_md5 "None" ; None)
| _ -> ( "None"
|> Digest.string
|> Digest.to_hex
|> Ezfio.set_ao_basis_ao_md5 ; None)
;;

5
ocaml/Input_mo_basis.ml
View File

@ -56,7 +56,10 @@ end = struct
let read_ao_md5 () =
let ao_md5 =
match (Input_ao_basis.Ao_basis.read ()) with
| None -> failwith "Unable to read AO basis"
| None -> ("None"
|> Digest.string
|> Digest.to_hex
|> MD5.of_string)
| Some result -> Input_ao_basis.Ao_basis.to_md5 result
in
let result =

3
ocaml/qp_run.ml
View File

@ -38,7 +38,8 @@ let run slave ?prefix exe ezfio_file =
| Unix.Unix_error _ -> try_new_port (port_number+100)
in
let result =
try_new_port 41279
let port = 10*(Unix.getpid () mod 2823) + 32_769 in
try_new_port port
in
Zmq.Socket.close dummy_socket;
Zmq.Context.terminate zmq_context;

2
ocaml/tests/test_pub.py
View File

@ -1,4 +1,4 @@
#!/usr/bin/python
#!/usr/bin/env python3
import zmq
import sys, os

2
ocaml/tests/test_task_server.py
View File

@ -1,4 +1,4 @@
#!/usr/bin/python
#!/usr/bin/env python3
import zmq
import sys, os

3
scripts/Hn.py
View File

@ -1,4 +1,5 @@
#!/usr/bin/env python
#!/usr/bin/env python3
import sys
from math import *
arg = sys.argv

2
scripts/compilation/cache_compile.py
View File

@ -1,7 +1,7 @@
#!/usr/bin/env python3
"""
Save the .o from a .f90
and is the .o is asked a second time, retur it
and is the .o is asked a second time, return it
Take in argv command like:
ifort -g -openmp -I IRPF90_temp/Ezfio_files/ -c IRPF90_temp/Integrals_Monoelec/kin_ao_ints.irp.module.F90 -o IRPF90_temp/Integrals_Monoelec/kin_ao_ints.irp.module.o
"""

5
scripts/compilation/qp_create_ninja
View File

@ -38,9 +38,8 @@ def comp_path(path):
from qp_path import QP_ROOT, QP_SRC, QP_EZFIO
LIB = " -lz -ltrexio"
LIB = " -lz"
EZFIO_LIB = join("$QP_ROOT", "lib", "libezfio_irp.a")
ZMQ_LIB = join("$QP_ROOT", "lib", "libf77zmq.a") + " " + join("$QP_ROOT", "lib", "libzmq.a") + " -lstdc++ -lrt -ldl"
ROOT_BUILD_NINJA = join("$QP_ROOT", "config", "build.ninja")
ROOT_BUILD_NINJA_EXP = join(QP_ROOT, "config", "build.ninja")
ROOT_BUILD_NINJA_EXP_tmp = join(QP_ROOT, "config", "build.ninja.tmp")
@ -118,7 +117,7 @@ def ninja_create_env_variable(pwd_config_file):
lib_lapack = get_compilation_option(pwd_config_file, "LAPACK_LIB")
lib_usr = get_compilation_option(pwd_config_file, "LIB")
str_lib = " ".join([lib_lapack, EZFIO_LIB, ZMQ_LIB, LIB, lib_usr])
str_lib = " ".join([lib_lapack, EZFIO_LIB, LIB, lib_usr])
# Read all LIB files in modules
for directory in [real_join(QP_SRC, m) for m in sorted(os.listdir(QP_SRC))]:

4
scripts/ezfio_interface/ei_handler.py
View File

@ -829,4 +829,8 @@ if __name__ == "__main__":
# _|
for (m, dict_ezfio_cfg) in l_dict_ezfio_cfg:
if dict_ezfio_cfg == {}:
print("Error: Empty EZFIO.cfg in ", arguments["--path_module"])
sys.exit(-1)
code_generation(arguments, dict_ezfio_cfg, m)

69
scripts/import_champ_jastrow.py Executable file
View File

@ -0,0 +1,69 @@
#!/usr/bin/env python3
conv = [ 0, 0, 2 , 6 , 13 , 23 , 37 , 55 , 78 , 106 , 140 ]
def import_jastrow(jastrow_filename):
with open(jastrow_filename,'r') as jastrow_file:
lines = [ line.strip() for line in jastrow_file.readlines() ]
lines = [ line for line in lines if line != "" ]
start = 0
end = len(lines)
for i,line in enumerate(lines):
if line.startswith("jastrow_parameter"):
start = i
elif line.startswith("end"):
end = i
lines = lines[start:end]
type_num = (len(lines)-4)//2
nord_a,nord_b,nord_c = [ int(i) for i in lines[1].split()[:3] ]
scale_k = float(lines[2].split()[0])
vec_a = []
for j in range(type_num):
vec_a += [ float(i) for i in lines[3+j].split()[:nord_a+1] ]
vec_b = [ float(i) for i in lines[3+type_num].split()[:nord_b+1] ]
vec_c = []
for j in range(type_num):
vec_c += [ float(i) for i in lines[4+type_num+j].split()[:conv[nord_c]] ]
return {
'type_num' : type_num,
'scale_k' : scale_k,
'nord_a' : nord_a,
'nord_b' : nord_b,
'nord_c' : nord_c,
'vec_a' : vec_a,
'vec_b' : vec_b,
'vec_c' : vec_c,
}
if __name__ == '__main__':
import sys
from ezfio import ezfio
ezfio.set_file(sys.argv[1])
jastrow_file = sys.argv[2]
jastrow = import_jastrow(jastrow_file)
print (jastrow)
ezfio.set_jastrow_jast_type("Qmckl")
ezfio.set_jastrow_jast_qmckl_type_nucl_num(jastrow['type_num'])
charges = ezfio.get_nuclei_nucl_charge()
types = {}
k = 1
for c in charges:
if c not in types:
types[c] = k
k += 1
type_nucl_vector = [types[c] for c in charges]
print(type_nucl_vector)
ezfio.set_jastrow_jast_qmckl_type_nucl_vector(type_nucl_vector)
ezfio.set_jastrow_jast_qmckl_rescale_ee(jastrow['scale_k'])
ezfio.set_jastrow_jast_qmckl_rescale_en([jastrow['scale_k'] for i in type_nucl_vector])
ezfio.set_jastrow_jast_qmckl_aord_num(jastrow['nord_a'])
ezfio.set_jastrow_jast_qmckl_bord_num(jastrow['nord_b'])
ezfio.set_jastrow_jast_qmckl_cord_num(jastrow['nord_c'])
ezfio.set_jastrow_jast_qmckl_c_vector_size(len(jastrow['vec_c']))
ezfio.set_jastrow_jast_qmckl_a_vector(jastrow['vec_a'])
ezfio.set_jastrow_jast_qmckl_b_vector(jastrow['vec_b'])
ezfio.set_jastrow_jast_qmckl_c_vector(jastrow['vec_c'])

3
scripts/qp_exc_energy.py
View File

@ -1,4 +1,5 @@
#!/usr/bin/env python
#!/usr/bin/env python3
# Computes the error on the excitation energy of a CIPSI run.
def student(p,df):

135
src/trexio/qp_import_trexio.py → scripts/qp_import_trexio.py
View File

@ -13,11 +13,17 @@ Options:
import sys
import os
import trexio
import numpy as np
from functools import reduce
from ezfio import ezfio
from docopt import docopt
import qp_bitmasks
try:
import trexio
except ImportError:
print("Error: trexio python module is not found. Try python3 -m pip install trexio")
sys.exit(1)
try:
@ -32,6 +38,15 @@ else:
QP_ROOT + "/install",
QP_ROOT + "/scripts"] + sys.path
def uint64_to_int64(u):
# Check if the most significant bit is set
if u & (1 << 63):
# Calculate the two's complement
result = -int(np.bitwise_not(np.uint64(u))+1)
else:
# The number is already positive
result = u
return result
def generate_xyz(l):
@ -90,14 +105,15 @@ def write_ezfio(trexio_filename, filename):
p = re.compile(r'(\d*)$')
label = [p.sub("", x).capitalize() for x in label]
ezfio.set_nuclei_nucl_label(label)
print("OK")
else:
ezfio.set_nuclei_nucl_num(1)
ezfio.set_nuclei_nucl_charge([0.])
ezfio.set_nuclei_nucl_coord([0.,0.,0.])
ezfio.set_nuclei_nucl_label(["X"])
print("None")
print("OK")
print("Electrons\t...\t", end=' ')
@ -105,12 +121,12 @@ def write_ezfio(trexio_filename, filename):
try:
num_beta = trexio.read_electron_dn_num(trexio_file)
except:
num_beta = sum(charge)//2
num_beta = int(sum(charge))//2
try:
num_alpha = trexio.read_electron_up_num(trexio_file)
except:
num_alpha = sum(charge) - num_beta
num_alpha = int(sum(charge)) - num_beta
if num_alpha == 0:
print("\n\nError: There are zero electrons in the TREXIO file.\n\n")
@ -118,7 +134,7 @@ def write_ezfio(trexio_filename, filename):
ezfio.set_electrons_elec_alpha_num(num_alpha)
ezfio.set_electrons_elec_beta_num(num_beta)
print("OK")
print(f"{num_alpha} {num_beta}")
print("Basis\t\t...\t", end=' ')
@ -126,9 +142,7 @@ def write_ezfio(trexio_filename, filename):
try:
basis_type = trexio.read_basis_type(trexio_file)
if basis_type.lower() not in ["gaussian", "slater"]:
raise TypeError
if basis_type.lower() in ["gaussian", "slater"]:
shell_num = trexio.read_basis_shell_num(trexio_file)
prim_num = trexio.read_basis_prim_num(trexio_file)
ang_mom = trexio.read_basis_shell_ang_mom(trexio_file)
@ -139,6 +153,7 @@ def write_ezfio(trexio_filename, filename):
ao_shell = trexio.read_ao_shell(trexio_file)
ezfio.set_basis_basis("Read from TREXIO")
ezfio.set_ao_basis_ao_basis("Read from TREXIO")
ezfio.set_basis_shell_num(shell_num)
ezfio.set_basis_prim_num(prim_num)
ezfio.set_basis_shell_ang_mom(ang_mom)
@ -179,7 +194,61 @@ def write_ezfio(trexio_filename, filename):
shell_factor = trexio.read_basis_shell_factor(trexio_file)
prim_factor = trexio.read_basis_prim_factor(trexio_file)
print("OK")
elif basis_type.lower() == "numerical":
shell_num = trexio.read_basis_shell_num(trexio_file)
prim_num = shell_num
ang_mom = trexio.read_basis_shell_ang_mom(trexio_file)
nucl_index = trexio.read_basis_nucleus_index(trexio_file)
exponent = [1.]*prim_num
coefficient = [1.]*prim_num
shell_index = [i for i in range(shell_num)]
ao_shell = trexio.read_ao_shell(trexio_file)
ezfio.set_basis_basis("None")
ezfio.set_ao_basis_ao_basis("None")
ezfio.set_basis_shell_num(shell_num)
ezfio.set_basis_prim_num(prim_num)
ezfio.set_basis_shell_ang_mom(ang_mom)
ezfio.set_basis_basis_nucleus_index([ x+1 for x in nucl_index ])
ezfio.set_basis_prim_expo(exponent)
ezfio.set_basis_prim_coef(coefficient)
nucl_shell_num = []
prev = None
m = 0
for i in ao_shell:
if i != prev:
m += 1
if prev is None or nucl_index[i] != nucl_index[prev]:
nucl_shell_num.append(m)
m = 0
prev = i
assert (len(nucl_shell_num) == nucl_num)
shell_prim_num = []
prev = shell_index[0]
count = 0
for i in shell_index:
if i != prev:
shell_prim_num.append(count)
count = 0
count += 1
prev = i
shell_prim_num.append(count)
assert (len(shell_prim_num) == shell_num)
ezfio.set_basis_shell_prim_num(shell_prim_num)
ezfio.set_basis_shell_index([x+1 for x in shell_index])
ezfio.set_basis_nucleus_shell_num(nucl_shell_num)
shell_factor = trexio.read_basis_shell_factor(trexio_file)
prim_factor = [1.]*prim_num
else:
raise TypeError
print(basis_type)
except:
print("None")
ezfio.set_ao_basis_ao_cartesian(True)
@ -256,10 +325,12 @@ def write_ezfio(trexio_filename, filename):
# ezfio.set_ao_basis_ao_prim_num_max(prim_num_max)
ezfio.set_ao_basis_ao_coef(coef)
ezfio.set_ao_basis_ao_expo(expo)
ezfio.set_ao_basis_ao_basis("Read from TREXIO")
print("OK")
else:
print("None")
# _
# |\/| _ _ |_) _. _ o _
@ -279,6 +350,7 @@ def write_ezfio(trexio_filename, filename):
except:
label = "None"
ezfio.set_mo_basis_mo_label(label)
ezfio.set_determinants_mo_label(label)
try:
clss = trexio.read_mo_class(trexio_file)
@ -303,10 +375,10 @@ def write_ezfio(trexio_filename, filename):
for i in range(num_beta):
mo_occ[i] += 1.
ezfio.set_mo_basis_mo_occ(mo_occ)
except:
pass
print("OK")
except:
print("None")
print("Pseudos\t\t...\t", end=' ')
@ -386,8 +458,45 @@ def write_ezfio(trexio_filename, filename):
ezfio.set_pseudo_pseudo_n_kl(pseudo_n_kl)
ezfio.set_pseudo_pseudo_v_kl(pseudo_v_kl)
ezfio.set_pseudo_pseudo_dz_kl(pseudo_dz_kl)
print("OK")
else:
print("None")
print("Determinant\t...\t", end=' ')
alpha = [ i for i in range(num_alpha) ]
beta = [ i for i in range(num_beta) ]
if trexio.has_mo_spin(trexio_file):
spin = trexio.read_mo_spin(trexio_file)
if max(spin) == 1:
alpha = [ i for i in range(len(spin)) if spin[i] == 0 ]
alpha = [ alpha[i] for i in range(num_alpha) ]
beta = [ i for i in range(len(spin)) if spin[i] == 1 ]
beta = [ beta[i] for i in range(num_beta) ]
print("Warning -- UHF orbitals --", end=' ')
alpha_s = ['0']*mo_num
beta_s = ['0']*mo_num
for i in alpha:
alpha_s[i] = '1'
for i in beta:
beta_s[i] = '1'
alpha_s = ''.join(alpha_s)[::-1]
beta_s = ''.join(beta_s)[::-1]
def conv(i):
try:
result = np.int64(i)
except:
result = np.int64(i-2**63-1)
return result
alpha = [ uint64_to_int64(int(i,2)) for i in qp_bitmasks.string_to_bitmask(alpha_s) ][::-1]
beta = [ uint64_to_int64(int(i,2)) for i in qp_bitmasks.string_to_bitmask(beta_s ) ][::-1]
ezfio.set_determinants_bit_kind(8)
ezfio.set_determinants_n_int(1+mo_num//64)
ezfio.set_determinants_n_det(1)
ezfio.set_determinants_n_states(1)
ezfio.set_determinants_psi_det(alpha+beta)
ezfio.set_determinants_psi_coef([[1.0]])
print("OK")

6
scripts/utility/qp_bitmasks.py
View File

@ -22,7 +22,7 @@ def int_to_string(s):
assert s>=0
AssertionError
"""
assert type(s) in (int, long)
assert type(s) == int
assert s>=0
return '{s:0b}'.format(s=s)
@ -62,7 +62,7 @@ def int_to_bitmask(s,bit_kind_size=BIT_KIND_SIZE):
['1111111111111111111111111111111111111111111111111111111111110110']
>>>
"""
assert type(s) in (int, long)
assert type(s) == int
if s < 0:
s = s + (1 << bit_kind_size)
return ['{s:0{width}b}'.format(s=s,width=bit_kind_size)]
@ -104,7 +104,7 @@ class BitMask(object):
return self._data_int[i]
def __setitem__(self,i,value):
if type(value) in (int,long):
if type(value) == int :
self._data_int[i] = value
elif type(value) == str:
s = string_to_bitmask(value,bit_kind_size=self.bit_kind_size)[0]

3
scripts/utility/qp_json.py
View File

@ -1,4 +1,5 @@
#!/usr/bin/env python
#!/usr/bin/env python3
import os
import json

12
src/ao_basis/EZFIO.cfg
View File

@ -67,3 +67,15 @@ doc: Use normalized primitive functions
interface: ezfio, provider
default: true
[ao_expoim_cosgtos]
type: double precision
doc: imag part for Exponents for each primitive of each cosGTOs |AO|
size: (ao_basis.ao_num,ao_basis.ao_prim_num_max)
interface: ezfio, provider
[use_cosgtos]
type: logical
doc: If true, use cosgtos for AO integrals
interface: ezfio
default: False

64
src/ao_basis/aos_in_r.irp.f
View File

@ -65,46 +65,60 @@ double precision function primitive_value(i,j,r)
end
! ---
subroutine give_all_aos_at_r(r, tmp_array)
subroutine give_all_aos_at_r(r,aos_array)
implicit none
BEGIN_dOC
! input : r == r(1) = x and so on
!
! output : aos_array(i) = aos(i) evaluated in $\textbf{r}$
!
! input : r == r(1) = x and so on
!
! output : tmp_array(i) = aos(i) evaluated in $\textbf{r}$
!
END_DOC
double precision, intent(in) :: r(3)
double precision, intent(out):: aos_array(ao_num)
integer :: power_ao(3)
integer :: i,j,k,l,m
double precision :: dx,dy,dz,r2
double precision :: dx2,dy2,dz2
double precision :: center_ao(3)
implicit none
double precision, intent(in) :: r(3)
double precision, intent(out) :: tmp_array(ao_num)
integer :: p_ao(3)
integer :: i, j, k, l, m
double precision :: dx, dy, dz, r2
double precision :: dx2, dy2, dz2
double precision :: c_ao(3)
double precision :: beta
do i = 1, nucl_num
center_ao(1:3) = nucl_coord(i,1:3)
dx = (r(1) - center_ao(1))
dy = (r(2) - center_ao(2))
dz = (r(3) - center_ao(3))
c_ao(1:3) = nucl_coord(i,1:3)
dx = r(1) - c_ao(1)
dy = r(2) - c_ao(2)
dz = r(3) - c_ao(3)
r2 = dx*dx + dy*dy + dz*dz
do j = 1,Nucl_N_Aos(i)
do j = 1, Nucl_N_Aos(i)
k = Nucl_Aos_transposed(j,i) ! index of the ao in the ordered format
aos_array(k) = 0.d0
power_ao(1:3)= ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**power_ao(1)
dy2 = dy**power_ao(2)
dz2 = dz**power_ao(3)
p_ao(1:3) = ao_power_ordered_transp_per_nucl(1:3,j,i)
dx2 = dx**p_ao(1)
dy2 = dy**p_ao(2)
dz2 = dz**p_ao(3)
tmp_array(k) = 0.d0
do l = 1,ao_prim_num(k)
beta = ao_expo_ordered_transp_per_nucl(l,j,i)
if(dabs(beta*r2).gt.40.d0)cycle
aos_array(k)+= ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
if(dabs(beta*r2).gt.40.d0) cycle
tmp_array(k) += ao_coef_normalized_ordered_transp_per_nucl(l,j,i) * dexp(-beta*r2)
enddo
aos_array(k) = aos_array(k) * dx2 * dy2 * dz2
tmp_array(k) = tmp_array(k) * dx2 * dy2 * dz2
enddo
enddo
return
end
! ---
subroutine give_all_aos_and_grad_at_r(r,aos_array,aos_grad_array)
implicit none

16
src/ao_basis/aos_transp.irp.f
View File

@ -1,20 +1,28 @@
BEGIN_PROVIDER [ integer, Nucl_Aos_transposed, (N_AOs_max,nucl_num)]
implicit none
! ---
BEGIN_PROVIDER [ integer, Nucl_Aos_transposed, (N_AOs_max,nucl_num)]
BEGIN_DOC
! List of AOs attached on each atom
END_DOC
implicit none
integer :: i
integer, allocatable :: nucl_tmp(:)
allocate(nucl_tmp(nucl_num))
nucl_tmp = 0
Nucl_Aos = 0
do i = 1, ao_num
nucl_tmp(ao_nucl(i))+=1
nucl_tmp(ao_nucl(i)) += 1
Nucl_Aos_transposed(nucl_tmp(ao_nucl(i)),ao_nucl(i)) = i
enddo
deallocate(nucl_tmp)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, ao_expo_ordered_transp_per_nucl, (ao_prim_num_max,N_AOs_max,nucl_num) ]
implicit none
integer :: i,j,k,l

34
src/ao_basis/cosgtos.irp.f Normal file
View File

@ -0,0 +1,34 @@
BEGIN_PROVIDER [ logical, use_cosgtos ]
implicit none
BEGIN_DOC
! If true, use cosgtos for AO integrals
END_DOC
logical :: has
PROVIDE ezfio_filename
use_cosgtos = .False.
if (mpi_master) then
call ezfio_has_ao_basis_use_cosgtos(has)
if (has) then
! write(6,'(A)') '.. >>>>> [ IO READ: use_cosgtos ] <<<<< ..'
call ezfio_get_ao_basis_use_cosgtos(use_cosgtos)
else
call ezfio_set_ao_basis_use_cosgtos(use_cosgtos)
endif
endif
IRP_IF MPI_DEBUG
print *, irp_here, mpi_rank
call MPI_BARRIER(MPI_COMM_WORLD, ierr)
IRP_ENDIF
IRP_IF MPI
include 'mpif.h'
integer :: ierr
call MPI_BCAST( use_cosgtos, 1, MPI_LOGICAL, 0, MPI_COMM_WORLD, ierr)
if (ierr /= MPI_SUCCESS) then
stop 'Unable to read use_cosgtos with MPI'
endif
IRP_ENDIF
! call write_time(6)
END_PROVIDER

1
src/ao_many_one_e_ints/NEED
View File

@ -3,3 +3,4 @@ ao_two_e_ints
becke_numerical_grid
mo_one_e_ints
dft_utils_in_r
tc_keywords

296
src/ao_many_one_e_ints/ao_erf_gauss.irp.f
View File

@ -212,9 +212,7 @@ subroutine NAI_pol_x_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr y * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr z * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
@ -279,9 +277,7 @@ subroutine NAI_pol_x_mult_erf_ao_v0(i_ao, j_ao, mu_in, C_center, LD_C, ints, LD_
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr y * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! $\int_{-\infty}^{infty} dr z * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
@ -1111,3 +1107,295 @@ end
! ---
subroutine NAI_pol_x2_mult_erf_ao_with1s(i_ao, j_ao, beta, B_center, mu_in, C_center, ints)
BEGIN_DOC
!
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr y^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr z^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
include 'utils/constants.include.F'
implicit none
integer, intent(in) :: i_ao, j_ao
double precision, intent(in) :: beta, B_center(3), mu_in, C_center(3)
double precision, intent(out) :: ints(3)
integer :: i, j, power_Ai(3), power_Aj(3), n_pt_in, m
integer :: power_A1(3), power_A2(3)
double precision :: Ai_center(3), Aj_center(3), alphai, alphaj, coef, coefi
double precision :: integral0, integral1, integral2
double precision, external :: NAI_pol_mult_erf_with1s
ASSERT(beta .ge. 0.d0)
if(beta .lt. 1d-10) then
call NAI_pol_x2_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
return
endif
ints = 0.d0
power_Ai(1:3) = ao_power(i_ao,1:3)
power_Aj(1:3) = ao_power(j_ao,1:3)
Ai_center(1:3) = nucl_coord(ao_nucl(i_ao),1:3)
Aj_center(1:3) = nucl_coord(ao_nucl(j_ao),1:3)
n_pt_in = n_pt_max_integrals
do i = 1, ao_prim_num(i_ao)
alphai = ao_expo_ordered_transp (i,i_ao)
coefi = ao_coef_normalized_ordered_transp(i,i_ao)
do m = 1, 3
power_A1 = power_Ai
power_A1(m) += 1
power_A2 = power_Ai
power_A2(m) += 2
do j = 1, ao_prim_num(j_ao)
alphaj = ao_expo_ordered_transp (j,j_ao)
coef = coefi * ao_coef_normalized_ordered_transp(j,j_ao)
integral0 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_Ai, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
integral1 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_A1, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
integral2 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_A2, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
ints(m) += coef * (integral2 + Ai_center(m) * (2.d0*integral1 + Ai_center(m)*integral0))
enddo
enddo
enddo
end subroutine NAI_pol_x2_mult_erf_ao_with1s
! ---
subroutine NAI_pol_x2_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
BEGIN_DOC
!
! Computes the following integral :
!
! $\int_{-\infty}^{infty} dr x^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr y^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! $\int_{-\infty}^{infty} dr z^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
include 'utils/constants.include.F'
implicit none
integer, intent(in) :: i_ao, j_ao
double precision, intent(in) :: mu_in, C_center(3)
double precision, intent(out) :: ints(3)
integer :: i, j, num_A, num_B, power_A(3), power_B(3), n_pt_in, m
integer :: power_A1(3), power_A2(3)
double precision :: A_center(3), B_center(3), alpha, beta, coef
double precision :: integral0, integral1, integral2
double precision :: NAI_pol_mult_erf
ints = 0.d0
num_A = ao_nucl(i_ao)
power_A(1:3) = ao_power(i_ao,1:3)
A_center(1:3) = nucl_coord(num_A,1:3)
num_B = ao_nucl(j_ao)
power_B(1:3) = ao_power(j_ao,1:3)
B_center(1:3) = nucl_coord(num_B,1:3)
n_pt_in = n_pt_max_integrals
do i = 1, ao_prim_num(i_ao)
alpha = ao_expo_ordered_transp(i,i_ao)
do m = 1, 3
power_A1 = power_A
power_A1(m) += 1
power_A2 = power_A
power_A2(m) += 2
do j = 1, ao_prim_num(j_ao)
beta = ao_expo_ordered_transp(j,j_ao)
coef = ao_coef_normalized_ordered_transp(j,j_ao) * ao_coef_normalized_ordered_transp(i,i_ao)
integral0 = NAI_pol_mult_erf(A_center, B_center, power_A , power_B, alpha, beta, C_center, n_pt_in, mu_in)
integral1 = NAI_pol_mult_erf(A_center, B_center, power_A1, power_B, alpha, beta, C_center, n_pt_in, mu_in)
integral2 = NAI_pol_mult_erf(A_center, B_center, power_A2, power_B, alpha, beta, C_center, n_pt_in, mu_in)
ints(m) += coef * (integral2 + A_center(m) * (2.d0*integral1 + A_center(m)*integral0))
enddo
enddo
enddo
end subroutine NAI_pol_x2_mult_erf_ao
! ---
subroutine NAI_pol_012_mult_erf_ao_with1s(i_ao, j_ao, beta, B_center, mu_in, C_center, ints)
BEGIN_DOC
!
! Computes the following integral :
!
! ints(1) = $\int_{-\infty}^{infty} dr x^0 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! ints(2) = $\int_{-\infty}^{infty} dr x^1 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! ints(3) = $\int_{-\infty}^{infty} dr y^1 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! ints(4) = $\int_{-\infty}^{infty} dr z^1 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! ints(5) = $\int_{-\infty}^{infty} dr x^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! ints(6) = $\int_{-\infty}^{infty} dr y^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! ints(7) = $\int_{-\infty}^{infty} dr z^2 * \chi_i(r) \chi_j(r) e^{-\beta (r - B_center)^2} \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
include 'utils/constants.include.F'
implicit none
integer, intent(in) :: i_ao, j_ao
double precision, intent(in) :: beta, B_center(3), mu_in, C_center(3)
double precision, intent(out) :: ints(7)
integer :: i, j, power_Ai(3), power_Aj(3), n_pt_in, m
integer :: power_A1(3), power_A2(3)
double precision :: Ai_center(3), Aj_center(3), alphai, alphaj, coef, coefi
double precision :: integral0, integral1, integral2
double precision, external :: NAI_pol_mult_erf_with1s
ASSERT(beta .ge. 0.d0)
if(beta .lt. 1d-10) then
call NAI_pol_012_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
return
endif
ints = 0.d0
power_Ai(1:3) = ao_power(i_ao,1:3)
power_Aj(1:3) = ao_power(j_ao,1:3)
Ai_center(1:3) = nucl_coord(ao_nucl(i_ao),1:3)
Aj_center(1:3) = nucl_coord(ao_nucl(j_ao),1:3)
n_pt_in = n_pt_max_integrals
do i = 1, ao_prim_num(i_ao)
alphai = ao_expo_ordered_transp (i,i_ao)
coefi = ao_coef_normalized_ordered_transp(i,i_ao)
do j = 1, ao_prim_num(j_ao)
alphaj = ao_expo_ordered_transp (j,j_ao)
coef = coefi * ao_coef_normalized_ordered_transp(j,j_ao)
integral0 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_Ai, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
ints(1) += coef * integral0
do m = 1, 3
power_A1 = power_Ai
power_A1(m) += 1
integral1 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_A1, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
ints(1+m) += coef * (integral1 + Ai_center(m)*integral0)
power_A2 = power_Ai
power_A2(m) += 2
integral2 = NAI_pol_mult_erf_with1s(Ai_center, Aj_center, power_A2, power_Aj, alphai, alphaj, beta, B_center, C_center, n_pt_in, mu_in)
ints(4+m) += coef * (integral2 + Ai_center(m) * (2.d0*integral1 + Ai_center(m)*integral0))
enddo
enddo
enddo
end subroutine NAI_pol_012_mult_erf_ao_with1s
! ---
subroutine NAI_pol_012_mult_erf_ao(i_ao, j_ao, mu_in, C_center, ints)
BEGIN_DOC
!
! Computes the following integral :
!
! int(1) = $\int_{-\infty}^{infty} dr x^0 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! int(2) = $\int_{-\infty}^{infty} dr x^1 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! int(3) = $\int_{-\infty}^{infty} dr y^1 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! int(4) = $\int_{-\infty}^{infty} dr z^1 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
! int(5) = $\int_{-\infty}^{infty} dr x^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! int(6) = $\int_{-\infty}^{infty} dr y^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
! int(7) = $\int_{-\infty}^{infty} dr z^2 * \chi_i(r) \chi_j(r) \frac{\erf(\mu | r - R_C | )}{ | r - R_C | }$.
!
END_DOC
include 'utils/constants.include.F'
implicit none
integer, intent(in) :: i_ao, j_ao
double precision, intent(in) :: mu_in, C_center(3)
double precision, intent(out) :: ints(7)
integer :: i, j, num_A, num_B, power_A(3), power_B(3), n_pt_in, m
integer :: power_A1(3), power_A2(3)
double precision :: A_center(3), B_center(3), alpha, beta, coef
double precision :: integral0, integral1, integral2
double precision :: NAI_pol_mult_erf
ints = 0.d0
num_A = ao_nucl(i_ao)
power_A(1:3) = ao_power(i_ao,1:3)
A_center(1:3) = nucl_coord(num_A,1:3)
num_B = ao_nucl(j_ao)
power_B(1:3) = ao_power(j_ao,1:3)
B_center(1:3) = nucl_coord(num_B,1:3)
n_pt_in = n_pt_max_integrals
do i = 1, ao_prim_num(i_ao)
alpha = ao_expo_ordered_transp(i,i_ao)
do j = 1, ao_prim_num(j_ao)
beta = ao_expo_ordered_transp(j,j_ao)
coef = ao_coef_normalized_ordered_transp(j,j_ao) * ao_coef_normalized_ordered_transp(i,i_ao)
integral0 = NAI_pol_mult_erf(A_center, B_center, power_A, power_B, alpha, beta, C_center, n_pt_in, mu_in)
ints(1) += coef * integral0
do m = 1, 3
power_A1 = power_A
power_A1(m) += 1
integral1 = NAI_pol_mult_erf(A_center, B_center, power_A1, power_B, alpha, beta, C_center, n_pt_in, mu_in)
ints(1+m) += coef * (integral1 + A_center(m)*integral0)
power_A2 = power_A
power_A2(m) += 2
integral2 = NAI_pol_mult_erf(A_center, B_center, power_A2, power_B, alpha, beta, C_center, n_pt_in, mu_in)
ints(4+m) += coef * (integral2 + A_center(m) * (2.d0*integral1 + A_center(m)*integral0))
enddo
enddo
enddo
end subroutine NAI_pol_012_mult_erf_ao
! ---

74
src/ao_many_one_e_ints/grad2_jmu_modif.irp.f
View File

@ -1,4 +1,72 @@
! ---
BEGIN_PROVIDER [ double precision, int2_grad1u2_grad2u2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! -\frac{1}{4} x int dr2 phi_i(r2) phi_j(r2) [1 - erf(mu r12)]^2
!
END_DOC
implicit none
integer :: i, j, ipoint, i_fit
double precision :: r(3), expo_fit, coef_fit
double precision :: tmp
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao
print*, ' providing int2_grad1u2_grad2u2 ...'
call wall_time(wall0)
provide mu_erf final_grid_points j1b_pen
int2_grad1u2_grad2u2 = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_fit, r, coef_fit, expo_fit, tmp) &
!$OMP SHARED (n_points_final_grid, ao_num, final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_1_erf_x_2, coef_gauss_1_erf_x_2,int2_grad1u2_grad2u2)
!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
do i = 1, ao_num
do j = i, ao_num
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_1_erf_x_2(i_fit)
coef_fit = coef_gauss_1_erf_x_2(i_fit)
tmp += -0.25d0 * coef_fit * overlap_gauss_r12_ao(r, expo_fit, i, j)
enddo
int2_grad1u2_grad2u2(j,i,ipoint) = tmp
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
int2_grad1u2_grad2u2(j,i,ipoint) = int2_grad1u2_grad2u2(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for int2_grad1u2_grad2u2 =', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, int2_grad1u2_grad2u2_j1b2, (ao_num, ao_num, n_points_final_grid)]
@ -60,6 +128,7 @@ BEGIN_PROVIDER [ double precision, int2_grad1u2_grad2u2_j1b2, (ao_num, ao_num, n
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)
@ -96,7 +165,7 @@ END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, int2_u2_j1b2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_PROVIDER [double precision, int2_u2_j1b2, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
@ -154,6 +223,7 @@ BEGIN_PROVIDER [ double precision, int2_u2_j1b2, (ao_num, ao_num, n_points_final
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)
@ -254,6 +324,7 @@ BEGIN_PROVIDER [ double precision, int2_u_grad1u_x_j1b2, (ao_num, ao_num, n_poin
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)
@ -368,6 +439,7 @@ BEGIN_PROVIDER [ double precision, int2_u_grad1u_j1b2, (ao_num, ao_num, n_points
do i_1s = 2, List_all_comb_b3_size
coef = List_all_comb_b3_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b3_expo (i_1s)
B_center(1) = List_all_comb_b3_cent(1,i_1s)
B_center(2) = List_all_comb_b3_cent(2,i_1s)

274
src/ao_many_one_e_ints/grad_lapl_jmu_modif.irp.f
View File

@ -60,6 +60,7 @@ BEGIN_PROVIDER [ double precision, v_ij_erf_rk_cst_mu_j1b, (ao_num, ao_num, n_po
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
@ -154,6 +155,7 @@ BEGIN_PROVIDER [ double precision, x_v_ij_erf_rk_cst_mu_j1b, (ao_num, ao_num, n_
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
@ -195,8 +197,7 @@ END_PROVIDER
! ---
! TODO analytically
BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_final_grid)]
BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b_fit, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
@ -213,12 +214,14 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
double precision, external :: overlap_gauss_r12_ao_with1s
print*, ' providing v_ij_u_cst_mu_j1b ...'
print*, ' providing v_ij_u_cst_mu_j1b_fit ...'
call wall_time(wall0)
provide mu_erf final_grid_points j1b_pen
PROVIDE ng_fit_jast expo_gauss_j_mu_x coef_gauss_j_mu_x
PROVIDE List_all_comb_b2_size List_all_comb_b2_coef List_all_comb_b2_expo List_all_comb_b2_cent
v_ij_u_cst_mu_j1b = 0.d0
v_ij_u_cst_mu_j1b_fit = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, i_fit, r, coef, beta, B_center, &
@ -227,9 +230,8 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
!$OMP final_grid_points, ng_fit_jast, &
!$OMP expo_gauss_j_mu_x, coef_gauss_j_mu_x, &
!$OMP List_all_comb_b2_coef, List_all_comb_b2_expo, &
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b)
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b_fit)
!$OMP DO
!do ipoint = 1, 10
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
@ -240,7 +242,6 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
tmp = 0.d0
do i_fit = 1, ng_fit_jast
expo_fit = expo_gauss_j_mu_x(i_fit)
coef_fit = coef_gauss_j_mu_x(i_fit)
@ -253,7 +254,6 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
B_center(3) = List_all_comb_b2_cent(3,1)
int_fit = overlap_gauss_r12_ao_with1s(B_center, beta, r, expo_fit, i, j)
! if(dabs(int_fit*coef) .lt. 1d-12) cycle
tmp += coef * coef_fit * int_fit
@ -262,6 +262,7 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
@ -276,7 +277,7 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
enddo
v_ij_u_cst_mu_j1b(j,i,ipoint) = tmp
v_ij_u_cst_mu_j1b_fit(j,i,ipoint) = tmp
enddo
enddo
enddo
@ -286,15 +287,266 @@ BEGIN_PROVIDER [ double precision, v_ij_u_cst_mu_j1b, (ao_num, ao_num, n_points_
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
v_ij_u_cst_mu_j1b(j,i,ipoint) = v_ij_u_cst_mu_j1b(i,j,ipoint)
v_ij_u_cst_mu_j1b_fit(j,i,ipoint) = v_ij_u_cst_mu_j1b_fit(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for v_ij_u_cst_mu_j1b', wall1 - wall0
print*, ' wall time for v_ij_u_cst_mu_j1b_fit', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, v_ij_u_cst_mu_j1b_an_old, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! int dr2 phi_i(r2) phi_j(r2) 1s_j1b(r2) u(mu, r12)
!
END_DOC
include 'constants.include.F'
implicit none
integer :: i, j, ipoint, i_1s
double precision :: r(3), r1_2
double precision :: int_c1, int_e1, int_o
double precision :: int_c2(3), int_e2(3)
double precision :: int_c3(3), int_e3(3)
double precision :: coef, beta, B_center(3)
double precision :: tmp, ct
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao_with1s
double precision, external :: NAI_pol_mult_erf_ao_with1s
print*, ' providing v_ij_u_cst_mu_j1b_an_old ...'
call wall_time(wall0)
provide mu_erf final_grid_points j1b_pen
PROVIDE List_all_comb_b2_size List_all_comb_b2_coef List_all_comb_b2_expo List_all_comb_b2_cent
ct = inv_sq_pi_2 / mu_erf
v_ij_u_cst_mu_j1b_an_old = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, r, coef, beta, B_center, &
!$OMP r1_2, tmp, int_c1, int_e1, int_o, int_c2, &
!$OMP int_e2, int_c3, int_e3) &
!$OMP SHARED (n_points_final_grid, ao_num, List_all_comb_b2_size, &
!$OMP final_grid_points, mu_erf, ct, &
!$OMP List_all_comb_b2_coef, List_all_comb_b2_expo, &
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b_an_old)
!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
r1_2 = 0.5d0 * (r(1)*r(1) + r(2)*r(2) + r(3)*r(3))
do i = 1, ao_num
do j = i, ao_num
! ---
coef = List_all_comb_b2_coef (1)
beta = List_all_comb_b2_expo (1)
B_center(1) = List_all_comb_b2_cent(1,1)
B_center(2) = List_all_comb_b2_cent(2,1)
B_center(3) = List_all_comb_b2_cent(3,1)
int_c1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r)
int_e1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c2)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e2)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c3)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e3)
int_o = overlap_gauss_r12_ao_with1s(B_center, beta, r, mu_erf*mu_erf, i, j)
tmp = coef &
* ( r1_2 * (int_c1 - int_e1) &
- r(1) * (int_c2(1) - int_e2(1)) - r(2) * (int_c2(2) - int_e2(2)) - r(3) * (int_c2(3) - int_e2(3)) &
+ 0.5d0 * (int_c3(1) + int_c3(2) + int_c3(3) - int_e3(1) - int_e3(2) - int_e3(3)) &
- ct * int_o &
)
! ---
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
B_center(3) = List_all_comb_b2_cent(3,i_1s)
int_c1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r)
int_e1 = NAI_pol_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c2)
call NAI_pol_x_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e2)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c3)
call NAI_pol_x2_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e3)
int_o = overlap_gauss_r12_ao_with1s(B_center, beta, r, mu_erf*mu_erf, i, j)
tmp = tmp + coef &
* ( r1_2 * (int_c1 - int_e1) &
- r(1) * (int_c2(1) - int_e2(1)) - r(2) * (int_c2(2) - int_e2(2)) - r(3) * (int_c2(3) - int_e2(3)) &
+ 0.5d0 * (int_c3(1) + int_c3(2) + int_c3(3) - int_e3(1) - int_e3(2) - int_e3(3)) &
- ct * int_o &
)
enddo
! ---
v_ij_u_cst_mu_j1b_an_old(j,i,ipoint) = tmp
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
v_ij_u_cst_mu_j1b_an_old(j,i,ipoint) = v_ij_u_cst_mu_j1b_an_old(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for v_ij_u_cst_mu_j1b_an_old', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, v_ij_u_cst_mu_j1b_an, (ao_num, ao_num, n_points_final_grid)]
BEGIN_DOC
!
! int dr2 phi_i(r2) phi_j(r2) 1s_j1b(r2) u(mu, r12)
!
END_DOC
include 'constants.include.F'
implicit none
integer :: i, j, ipoint, i_1s
double precision :: r(3), r1_2
double precision :: int_o
double precision :: int_c(7), int_e(7)
double precision :: coef, beta, B_center(3)
double precision :: tmp, ct
double precision :: wall0, wall1
double precision, external :: overlap_gauss_r12_ao_with1s
double precision, external :: NAI_pol_mult_erf_ao_with1s
print*, ' providing v_ij_u_cst_mu_j1b_an ...'
call wall_time(wall0)
provide mu_erf final_grid_points j1b_pen
PROVIDE List_all_comb_b2_size List_all_comb_b2_coef List_all_comb_b2_expo List_all_comb_b2_cent
ct = inv_sq_pi_2 / mu_erf
v_ij_u_cst_mu_j1b_an = 0.d0
!$OMP PARALLEL DEFAULT (NONE) &
!$OMP PRIVATE (ipoint, i, j, i_1s, r, coef, beta, B_center, &
!$OMP r1_2, tmp, int_c, int_e, int_o) &
!$OMP SHARED (n_points_final_grid, ao_num, List_all_comb_b2_size, &
!$OMP final_grid_points, mu_erf, ct, &
!$OMP List_all_comb_b2_coef, List_all_comb_b2_expo, &
!$OMP List_all_comb_b2_cent, v_ij_u_cst_mu_j1b_an)
!$OMP DO
do ipoint = 1, n_points_final_grid
r(1) = final_grid_points(1,ipoint)
r(2) = final_grid_points(2,ipoint)
r(3) = final_grid_points(3,ipoint)
r1_2 = 0.5d0 * (r(1)*r(1) + r(2)*r(2) + r(3)*r(3))
do i = 1, ao_num
do j = i, ao_num
! ---
coef = List_all_comb_b2_coef (1)
beta = List_all_comb_b2_expo (1)
B_center(1) = List_all_comb_b2_cent(1,1)
B_center(2) = List_all_comb_b2_cent(2,1)
B_center(3) = List_all_comb_b2_cent(3,1)
call NAI_pol_012_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c)
call NAI_pol_012_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e)
int_o = overlap_gauss_r12_ao_with1s(B_center, beta, r, mu_erf*mu_erf, i, j)
tmp = coef &
* ( r1_2 * (int_c(1) - int_e(1)) &
- r(1) * (int_c(2) - int_e(2)) - r(2) * (int_c(3) - int_e(3)) - r(3) * (int_c(4) - int_e(4)) &
+ 0.5d0 * (int_c(5) + int_c(6) + int_c(7) - int_e(5) - int_e(6) - int_e(7)) &
- ct * int_o &
)
! ---
do i_1s = 2, List_all_comb_b2_size
coef = List_all_comb_b2_coef (i_1s)
if(dabs(coef) .lt. 1d-15) cycle ! beta = 0.0
beta = List_all_comb_b2_expo (i_1s)
B_center(1) = List_all_comb_b2_cent(1,i_1s)
B_center(2) = List_all_comb_b2_cent(2,i_1s)
B_center(3) = List_all_comb_b2_cent(3,i_1s)
call NAI_pol_012_mult_erf_ao_with1s(i, j, beta, B_center, 1.d+9, r, int_c)
call NAI_pol_012_mult_erf_ao_with1s(i, j, beta, B_center, mu_erf, r, int_e)
int_o = overlap_gauss_r12_ao_with1s(B_center, beta, r, mu_erf*mu_erf, i, j)
tmp = tmp + coef &
* ( r1_2 * (int_c(1) - int_e(1)) &
- r(1) * (int_c(2) - int_e(2)) - r(2) * (int_c(3) - int_e(3)) - r(3) * (int_c(4) - int_e(4)) &
+ 0.5d0 * (int_c(5) + int_c(6) + int_c(7) - int_e(5) - int_e(6) - int_e(7)) &
- ct * int_o &
)
enddo
! ---
v_ij_u_cst_mu_j1b_an(j,i,ipoint) = tmp
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
do ipoint = 1, n_points_final_grid
do i = 2, ao_num
do j = 1, i-1
v_ij_u_cst_mu_j1b_an(j,i,ipoint) = v_ij_u_cst_mu_j1b_an(i,j,ipoint)
enddo
enddo
enddo
call wall_time(wall1)
print*, ' wall time for v_ij_u_cst_mu_j1b_an', wall1 - wall0
END_PROVIDER
! ---

135
src/ao_many_one_e_ints/listj1b.irp.f
View File

@ -1,17 +1,34 @@
! ---
BEGIN_PROVIDER [ integer, List_all_comb_b2_size]
BEGIN_PROVIDER [integer, List_all_comb_b2_size]
implicit none
PROVIDE j1b_type
if((j1b_type .eq. 3) .or. (j1b_type .eq. 103)) then
List_all_comb_b2_size = 2**nucl_num
elseif((j1b_type .eq. 4) .or. (j1b_type .eq. 104)) then
List_all_comb_b2_size = nucl_num + 1
else
print *, 'j1b_type = ', j1b_type, 'is not implemented'
stop
endif
print *, ' nb of linear terms in the envelope is ', List_all_comb_b2_size
END_PROVIDER
! ---
BEGIN_PROVIDER [ integer, List_all_comb_b2, (nucl_num, List_all_comb_b2_size)]
BEGIN_PROVIDER [integer, List_all_comb_b2, (nucl_num, List_all_comb_b2_size)]
implicit none
integer :: i, j
@ -45,11 +62,14 @@ END_PROVIDER
double precision :: tmp_cent_x, tmp_cent_y, tmp_cent_z
provide j1b_pen
provide j1b_pen_coef
List_all_comb_b2_coef = 0.d0
List_all_comb_b2_expo = 0.d0
List_all_comb_b2_cent = 0.d0
if((j1b_type .eq. 3) .or. (j1b_type .eq. 103)) then
do i = 1, List_all_comb_b2_size
tmp_cent_x = 0.d0
@ -102,6 +122,26 @@ END_PROVIDER
List_all_comb_b2_coef(i) = (-1.d0)**dble(phase) * dexp(-List_all_comb_b2_coef(i))
enddo
elseif((j1b_type .eq. 4) .or. (j1b_type .eq. 104)) then
List_all_comb_b2_coef( 1) = 1.d0
List_all_comb_b2_expo( 1) = 0.d0
List_all_comb_b2_cent(1:3,1) = 0.d0
do i = 1, nucl_num
List_all_comb_b2_coef( i+1) = -1.d0 * j1b_pen_coef(i)
List_all_comb_b2_expo( i+1) = j1b_pen(i)
List_all_comb_b2_cent(1,i+1) = nucl_coord(i,1)
List_all_comb_b2_cent(2,i+1) = nucl_coord(i,2)
List_all_comb_b2_cent(3,i+1) = nucl_coord(i,3)
enddo
else
print *, 'j1b_type = ', j1b_type, 'is not implemented'
stop
endif
!print *, ' coeff, expo & cent of list b2'
!do i = 1, List_all_comb_b2_size
! print*, i, List_all_comb_b2_coef(i), List_all_comb_b2_expo(i)
@ -115,14 +155,31 @@ END_PROVIDER
BEGIN_PROVIDER [ integer, List_all_comb_b3_size]
implicit none
double precision :: tmp
if((j1b_type .eq. 3) .or. (j1b_type .eq. 103)) then
List_all_comb_b3_size = 3**nucl_num
elseif((j1b_type .eq. 4) .or. (j1b_type .eq. 104)) then
tmp = 0.5d0 * dble(nucl_num) * (dble(nucl_num) + 3.d0)
List_all_comb_b3_size = int(tmp) + 1
else
print *, 'j1b_type = ', j1b_type, 'is not implemented'
stop
endif
print *, ' nb of linear terms in the square of the envelope is ', List_all_comb_b3_size
END_PROVIDER
! ---
BEGIN_PROVIDER [ integer, List_all_comb_b3, (nucl_num, List_all_comb_b3_size)]
BEGIN_PROVIDER [integer, List_all_comb_b3, (nucl_num, List_all_comb_b3_size)]
implicit none
integer :: i, j, ii, jj
@ -162,14 +219,21 @@ END_PROVIDER
implicit none
integer :: i, j, k, phase
integer :: ii
double precision :: tmp_alphaj, tmp_alphak, facto
double precision :: tmp1, tmp2, tmp3, tmp4
double precision :: xi, yi, zi, xj, yj, zj
double precision :: dx, dy, dz, r2
provide j1b_pen
provide j1b_pen_coef
List_all_comb_b3_coef = 0.d0
List_all_comb_b3_expo = 0.d0
List_all_comb_b3_cent = 0.d0
if((j1b_type .eq. 3) .or. (j1b_type .eq. 103)) then
do i = 1, List_all_comb_b3_size
do j = 1, nucl_num
@ -225,6 +289,71 @@ END_PROVIDER
List_all_comb_b3_coef(i) = (-1.d0)**dble(phase) * facto * dexp(-List_all_comb_b3_coef(i))
enddo
elseif((j1b_type .eq. 4) .or. (j1b_type .eq. 104)) then
ii = 1
List_all_comb_b3_coef( ii) = 1.d0
List_all_comb_b3_expo( ii) = 0.d0
List_all_comb_b3_cent(1:3,ii) = 0.d0
do i = 1, nucl_num
ii = ii + 1
List_all_comb_b3_coef( ii) = -2.d0 * j1b_pen_coef(i)
List_all_comb_b3_expo( ii) = j1b_pen(i)
List_all_comb_b3_cent(1,ii) = nucl_coord(i,1)
List_all_comb_b3_cent(2,ii) = nucl_coord(i,2)
List_all_comb_b3_cent(3,ii) = nucl_coord(i,3)
enddo
do i = 1, nucl_num
ii = ii + 1
List_all_comb_b3_coef( ii) = 1.d0 * j1b_pen_coef(i) * j1b_pen_coef(i)
List_all_comb_b3_expo( ii) = 2.d0 * j1b_pen(i)
List_all_comb_b3_cent(1,ii) = nucl_coord(i,1)
List_all_comb_b3_cent(2,ii) = nucl_coord(i,2)
List_all_comb_b3_cent(3,ii) = nucl_coord(i,3)
enddo
do i = 1, nucl_num-1
tmp1 = j1b_pen(i)
xi = nucl_coord(i,1)
yi = nucl_coord(i,2)
zi = nucl_coord(i,3)
do j = i+1, nucl_num
tmp2 = j1b_pen(j)
tmp3 = tmp1 + tmp2
tmp4 = 1.d0 / tmp3
xj = nucl_coord(j,1)
yj = nucl_coord(j,2)
zj = nucl_coord(j,3)
dx = xi - xj
dy = yi - yj
dz = zi - zj
r2 = dx*dx + dy*dy + dz*dz
ii = ii + 1
! x 2 to avoid doing integrals twice
List_all_comb_b3_coef( ii) = 2.d0 * dexp(-tmp1*tmp2*tmp4*r2) * j1b_pen_coef(i) * j1b_pen_coef(j)
List_all_comb_b3_expo( ii) = tmp3
List_all_comb_b3_cent(1,ii) = tmp4 * (tmp1 * xi + tmp2 * xj)
List_all_comb_b3_cent(2,ii) = tmp4 * (tmp1 * yi + tmp2 * yj)
List_all_comb_b3_cent(3,ii) = tmp4 * (tmp1 * zi + tmp2 * zj)
enddo
enddo
else
print *, 'j1b_type = ', j1b_type, 'is not implemented'
stop
endif
!print *, ' coeff, expo & cent of list b3'
!do i = 1, List_all_comb_b3_size
! print*, i, List_all_comb_b3_coef(i), List_all_comb_b3_expo(i)

1
src/ao_one_e_ints/NEED
View File

@ -1,3 +1,2 @@
ao_basis
pseudo
cosgtos_ao_int

0
src/cosgtos_ao_int/aos_cosgtos.irp.f → src/ao_one_e_ints/aos_cosgtos.irp.f
View File

0
src/cosgtos_ao_int/one_e_Coul_integrals.irp.f → src/ao_one_e_ints/one_e_Coul_integrals_cosgtos.irp.f
View File

0
src/cosgtos_ao_int/one_e_kin_integrals.irp.f → src/ao_one_e_ints/one_e_kin_integrals_cosgtos.irp.f
View File

24
src/ao_one_e_ints/pot_ao_ints.irp.f
View File

@ -104,6 +104,9 @@ BEGIN_PROVIDER [ double precision, ao_integrals_n_e, (ao_num,ao_num)]
IF(do_pseudo) THEN
ao_integrals_n_e += ao_pseudo_integrals
ENDIF
IF(point_charges) THEN
ao_integrals_n_e += ao_integrals_pt_chrg
ENDIF
endif
@ -455,10 +458,12 @@ recursive subroutine I_x1_pol_mult_one_e(a,c,R1x,R1xp,R2x,d,nd,n_pt_in)
do ix=0,nx
X(ix) *= dble(c)
enddo
call multiply_poly(X,nx,R2x,2,d,nd)
! call multiply_poly(X,nx,R2x,2,d,nd)
call multiply_poly_c2(X,nx,R2x,d,nd)
ny=0
call I_x2_pol_mult_one_e(c,R1x,R1xp,R2x,Y,ny,n_pt_in)
call multiply_poly(Y,ny,R1x,2,d,nd)
! call multiply_poly(Y,ny,R1x,2,d,nd)
call multiply_poly_c2(Y,ny,R1x,d,nd)
else
do ix=0,n_pt_in
X(ix) = 0.d0
@ -469,7 +474,8 @@ recursive subroutine I_x1_pol_mult_one_e(a,c,R1x,R1xp,R2x,d,nd,n_pt_in)
do ix=0,nx
X(ix) *= dble(a-1)
enddo
call multiply_poly(X,nx,R2x,2,d,nd)
! call multiply_poly(X,nx,R2x,2,d,nd)
call multiply_poly_c2(X,nx,R2x,d,nd)
nx = nd
do ix=0,n_pt_in
@ -479,10 +485,12 @@ recursive subroutine I_x1_pol_mult_one_e(a,c,R1x,R1xp,R2x,d,nd,n_pt_in)
do ix=0,nx
X(ix) *= dble(c)
enddo
call multiply_poly(X,nx,R2x,2,d,nd)
! call multiply_poly(X,nx,R2x,2,d,nd)
call multiply_poly_c2(X,nx,R2x,d,nd)
ny=0
call I_x1_pol_mult_one_e(a-1,c,R1x,R1xp,R2x,Y,ny,n_pt_in)
call multiply_poly(Y,ny,R1x,2,d,nd)
! call multiply_poly(Y,ny,R1x,2,d,nd)
call multiply_poly_c2(Y,ny,R1x,d,nd)
endif
end
@ -519,7 +527,8 @@ recursive subroutine I_x2_pol_mult_one_e(c,R1x,R1xp,R2x,d,nd,dim)
do ix=0,nx
X(ix) *= dble(c-1)
enddo
call multiply_poly(X,nx,R2x,2,d,nd)
! call multiply_poly(X,nx,R2x,2,d,nd)
call multiply_poly_c2(X,nx,R2x,d,nd)
ny = 0
do ix=0,dim
Y(ix) = 0.d0
@ -527,7 +536,8 @@ recursive subroutine I_x2_pol_mult_one_e(c,R1x,R1xp,R2x,d,nd,dim)
call I_x1_pol_mult_one_e(0,c-1,R1x,R1xp,R2x,Y,ny,dim)
if(ny.ge.0)then
call multiply_poly(Y,ny,R1xp,2,d,nd)
! call multiply_poly(Y,ny,R1xp,2,d,nd)
call multiply_poly_c2(Y,ny,R1xp,d,nd)
endif
endif
end

14
src/ao_tc_eff_map/compute_ints_eff_pot.irp.f
View File

@ -53,13 +53,13 @@ subroutine compute_ao_tc_sym_two_e_pot_jl(j, l, n_integrals, buffer_i, buffer_va
integral_erf = ao_two_e_integral_erf(i, k, j, l)
integral = integral_erf + integral_pot
if( j1b_type .eq. 1 ) then
!print *, ' j1b type 1 is added'
integral = integral + j1b_gauss_2e_j1(i, k, j, l)
elseif( j1b_type .eq. 2 ) then
!print *, ' j1b type 2 is added'
integral = integral + j1b_gauss_2e_j2(i, k, j, l)
endif
!if( j1b_type .eq. 1 ) then
! !print *, ' j1b type 1 is added'
! integral = integral + j1b_gauss_2e_j1(i, k, j, l)
!elseif( j1b_type .eq. 2 ) then
! !print *, ' j1b type 2 is added'
! integral = integral + j1b_gauss_2e_j2(i, k, j, l)
!endif
if(abs(integral) < thr) then
cycle

15
src/ao_tc_eff_map/fit_j.irp.f
View File

@ -36,7 +36,7 @@ END_PROVIDER
END_PROVIDER
BEGIN_PROVIDER [ double precision, expo_j_xmu, (n_fit_1_erf_x) ]
implicit none
BEGIN_DOC
! F(x) = x * (1 - erf(x)) - 1/sqrt(pi) * exp(-x**2) is fitted with a gaussian and a Slater
!
@ -44,8 +44,17 @@ BEGIN_PROVIDER [ double precision, expo_j_xmu, (n_fit_1_erf_x) ]
!
! where alpha = expo_j_xmu(1) and beta = expo_j_xmu(2)
END_DOC
expo_j_xmu(1) = 1.7477d0
expo_j_xmu(2) = 0.668662d0
implicit none
!expo_j_xmu(1) = 1.7477d0
!expo_j_xmu(2) = 0.668662d0
!expo_j_xmu(1) = 1.74766377595541d0
!expo_j_xmu(2) = 0.668719925486403d0
expo_j_xmu(1) = 1.74770446934522d0
expo_j_xmu(2) = 0.668659706559979d0
END_PROVIDER

19
src/ao_two_e_ints/EZFIO.cfg
View File

@ -4,6 +4,25 @@ doc: Read/Write |AO| integrals from/to disk [ Write | Read | None ]
interface: ezfio,provider,ocaml
default: None
[io_ao_cholesky]
type: Disk_access
doc: Read/Write |AO| integrals from/to disk [ Write | Read | None ]
interface: ezfio,provider,ocaml
default: None
[ao_integrals_threshold]
type: Threshold
doc: If | (pq|rs) | < `ao_integrals_threshold` then (pq|rs) is zero
interface: ezfio,provider,ocaml
default: 1.e-15
ezfio_name: threshold_ao
[ao_cholesky_threshold]
type: Threshold
doc: If | (ii|jj) | < `ao_cholesky_threshold` then (ii|jj) is zero
interface: ezfio,provider,ocaml
default: 1.e-12
[do_direct_integrals]
type: logical
doc: Compute integrals on the fly (very slow, only for debugging)

483
src/ao_two_e_ints/cholesky.irp.f
View File

@ -1,88 +1,3 @@
BEGIN_PROVIDER [ integer, cholesky_ao_num_guess ]
implicit none
BEGIN_DOC
! Number of Cholesky vectors in AO basis
END_DOC
integer :: i,j,k,l
double precision :: xnorm0, x, integral
double precision, external :: ao_two_e_integral
cholesky_ao_num_guess = 0
xnorm0 = 0.d0
x = 0.d0
do j=1,ao_num
do i=1,ao_num
integral = ao_two_e_integral(i,i,j,j)
if (integral > ao_integrals_threshold) then
cholesky_ao_num_guess += 1
else
x += integral
endif
enddo
enddo
print *, 'Cholesky decomposition of AO integrals'
print *, '--------------------------------------'
print *, ''
print *, 'Estimated Error: ', x
print *, 'Guess size: ', cholesky_ao_num_guess, '(', 100.d0*dble(cholesky_ao_num_guess)/dble(ao_num*ao_num), ' %)'
END_PROVIDER
BEGIN_PROVIDER [ integer, cholesky_ao_num ]
&BEGIN_PROVIDER [ double precision, cholesky_ao, (ao_num, ao_num, cholesky_ao_num_guess) ]
use mmap_module
implicit none
BEGIN_DOC
! Cholesky vectors in AO basis: (ik|a):
! <ij|kl> = (ik|jl) = sum_a (ik|a).(a|jl)
END_DOC
type(c_ptr) :: ptr
integer :: fd, i,j,k,l, rank
double precision, pointer :: ao_integrals(:,:,:,:)
double precision, external :: ao_two_e_integral
! Store AO integrals in a memory mapped file
call mmap(trim(ezfio_work_dir)//'ao_integrals', &
(/ int(ao_num,8), int(ao_num,8), int(ao_num,8), int(ao_num,8) /), &
8, fd, .False., ptr)
call c_f_pointer(ptr, ao_integrals, (/ao_num, ao_num, ao_num, ao_num/))
double precision :: integral
logical, external :: ao_two_e_integral_zero
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i,j,k,l, integral) SCHEDULE(dynamic)
do l=1,ao_num
do j=1,l
do k=1,ao_num
do i=1,k
if (ao_two_e_integral_zero(i,j,k,l)) cycle
integral = ao_two_e_integral(i,k,j,l)
ao_integrals(i,k,j,l) = integral
ao_integrals(k,i,j,l) = integral
ao_integrals(i,k,l,j) = integral
ao_integrals(k,i,l,j) = integral
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
! Call Lapack
cholesky_ao_num = cholesky_ao_num_guess
call pivoted_cholesky(ao_integrals, cholesky_ao_num, ao_integrals_threshold, ao_num*ao_num, cholesky_ao)
print *, 'Rank: ', cholesky_ao_num, '(', 100.d0*dble(cholesky_ao_num)/dble(ao_num*ao_num), ' %)'
! Remove mmap
double precision, external :: getUnitAndOpen
call munmap( &
(/ int(ao_num,8), int(ao_num,8), int(ao_num,8), int(ao_num,8) /), &
8, fd, ptr)
open(unit=99,file=trim(ezfio_work_dir)//'ao_integrals')
close(99, status='delete')
END_PROVIDER
BEGIN_PROVIDER [ double precision, cholesky_ao_transp, (cholesky_ao_num, ao_num, ao_num) ]
implicit none
BEGIN_DOC
@ -98,3 +13,401 @@ BEGIN_PROVIDER [ double precision, cholesky_ao_transp, (cholesky_ao_num, ao_num,
enddo
END_PROVIDER
BEGIN_PROVIDER [ integer, cholesky_ao_num ]
&BEGIN_PROVIDER [ double precision, cholesky_ao, (ao_num, ao_num, 1) ]
implicit none
BEGIN_DOC
! Cholesky vectors in AO basis: (ik|a):
! <ij|kl> = (ik|jl) = sum_a (ik|a).(a|jl)
!
! Last dimension of cholesky_ao is cholesky_ao_num
END_DOC
integer :: rank, ndim
double precision :: tau
double precision, pointer :: L(:,:), L_old(:,:)
double precision :: s
double precision, parameter :: dscale = 1.d0
double precision, allocatable :: D(:), Delta(:,:), Ltmp_p(:,:), Ltmp_q(:,:)
integer, allocatable :: Lset(:), Dset(:), addr(:,:)
logical, allocatable :: computed(:)
integer :: i,j,k,m,p,q, qj, dj, p2, q2
integer :: N, np, nq
double precision :: Dmax, Dmin, Qmax, f
double precision, external :: get_ao_two_e_integral
logical, external :: ao_two_e_integral_zero
double precision, external :: ao_two_e_integral
integer :: block_size, iblock, ierr
double precision :: mem
double precision, external :: memory_of_double, memory_of_int
integer, external :: getUnitAndOpen
integer :: iunit
ndim = ao_num*ao_num
deallocate(cholesky_ao)
if (read_ao_cholesky) then
print *, 'Reading Cholesky vectors from disk...'
iunit = getUnitAndOpen(trim(ezfio_work_dir)//'cholesky_ao', 'R')
read(iunit) rank
allocate(cholesky_ao(ao_num,ao_num,rank), stat=ierr)
read(iunit) cholesky_ao
close(iunit)
cholesky_ao_num = rank
else
PROVIDE nucl_coord
if (do_direct_integrals) then
if (ao_two_e_integral(1,1,1,1) < huge(1.d0)) then
! Trigger providers inside ao_two_e_integral
continue
endif
else
PROVIDE ao_two_e_integrals_in_map
endif
tau = ao_cholesky_threshold
mem = 6.d0 * memory_of_double(ndim) + 6.d0 * memory_of_int(ndim)
call check_mem(mem, irp_here)
call print_memory_usage()
allocate(L(ndim,1))
print *, ''
print *, 'Cholesky decomposition of AO integrals'
print *, '======================================'
print *, ''
print *, '============ ============='
print *, ' Rank Threshold'
print *, '============ ============='
rank = 0
allocate( D(ndim), Lset(ndim), Dset(ndim) )
allocate( addr(3,ndim) )
! 1.
k=0
do j=1,ao_num
do i=1,ao_num
k = k+1
addr(1,k) = i
addr(2,k) = j
addr(3,k) = (i-1)*ao_num + j
enddo
enddo
if (do_direct_integrals) then
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i) SCHEDULE(guided)
do i=1,ndim
D(i) = ao_two_e_integral(addr(1,i), addr(2,i), &
addr(1,i), addr(2,i))
enddo
!$OMP END PARALLEL DO
else
!$OMP PARALLEL DO DEFAULT(SHARED) PRIVATE(i) SCHEDULE(guided)
do i=1,ndim
D(i) = get_ao_two_e_integral(addr(1,i), addr(1,i), &
addr(2,i), addr(2,i), &
ao_integrals_map)
enddo
!$OMP END PARALLEL DO
endif
Dmax = maxval(D)
! 2.
np=0
do p=1,ndim
if ( dscale*dscale*Dmax*D(p) > tau*tau ) then
np = np+1
Lset(np) = p
endif
enddo
! 3.
N = 0
! 4.
i = 0
! 5.
do while ( (Dmax > tau).and.(rank < ndim) )
! a.
i = i+1
s = 0.01d0
! Inrease s until the arrays fit in memory
do while (.True.)
! b.
Dmin = max(s*Dmax,tau)
! c.
nq=0
do p=1,np
if ( D(Lset(p)) > Dmin ) then
nq = nq+1
Dset(nq) = Lset(p)
endif
enddo
call total_memory(mem)
mem = mem &
+ np*memory_of_double(nq) &! Delta(np,nq)
+ (rank+nq)* memory_of_double(ndim) &! L(ndim,rank+nq)
+ (np+nq)*memory_of_double(block_size) ! Ltmp_p(np,block_size) + Ltmp_q(nq,block_size)
if (mem > qp_max_mem) then
s = s*2.d0
else
exit
endif
if ((s > 1.d0).or.(nq == 0)) then
call print_memory_usage()
print *, 'Not enough memory. Reduce cholesky threshold'
stop -1
endif
enddo
! d., e.
block_size = max(N,24)
L_old => L
allocate(L(ndim,rank+nq), stat=ierr)
if (ierr /= 0) then
call print_memory_usage()
print *, irp_here, ': allocation failed : (L(ndim,rank+nq))'
stop -1
endif
!$OMP PARALLEL DO PRIVATE(k,j)
do k=1,rank
do j=1,ndim
L(j,k) = L_old(j,k)
enddo
enddo
!$OMP END PARALLEL DO
deallocate(L_old)
allocate(Delta(np,nq), stat=ierr)
if (ierr /= 0) then
call print_memory_usage()
print *, irp_here, ': allocation failed : (Delta(np,nq))'
stop -1
endif
allocate(Ltmp_p(np,block_size), stat=ierr)
if (ierr /= 0) then
call print_memory_usage()
print *, irp_here, ': allocation failed : (Ltmp_p(np,block_size))'
stop -1
endif
allocate(Ltmp_q(nq,block_size), stat=ierr)
if (ierr /= 0) then
call print_memory_usage()
print *, irp_here, ': allocation failed : (Ltmp_q(nq,block_size))'
stop -1
endif
allocate(computed(nq))
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(m,k,p,q,j)
!$OMP DO
do q=1,nq
do j=1,np
Delta(j,q) = 0.d0
enddo
computed(q) = .False.
enddo
!$OMP ENDDO NOWAIT
!$OMP DO
do k=1,N
do p=1,np
Ltmp_p(p,k) = L(Lset(p),k)
enddo
do q=1,nq
Ltmp_q(q,k) = L(Dset(q),k)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP BARRIER
!$OMP END PARALLEL
if (N>0) then
call dgemm('N','T', np, nq, N, -1.d0, &
Ltmp_p, np, Ltmp_q, nq, 1.d0, Delta, np)
endif
! f.
Qmax = D(Dset(1))
do q=1,nq
Qmax = max(Qmax, D(Dset(q)))
enddo
! g.
iblock = 0
do j=1,nq
if ( (Qmax <= Dmin).or.(N+j > ndim) ) exit
! i.
rank = N+j
if (iblock == block_size) then
call dgemm('N','T',np,nq,block_size,-1.d0, &
Ltmp_p, np, Ltmp_q, nq, 1.d0, Delta, np)
iblock = 0
endif
! ii.
do dj=1,nq
qj = Dset(dj)
if (D(qj) == Qmax) then
exit
endif
enddo
L(1:ndim, rank) = 0.d0
if (.not.computed(dj)) then
m = dj
!$OMP PARALLEL DO PRIVATE(k) SCHEDULE(guided)
do k=np,1,-1
if (.not.ao_two_e_integral_zero( addr(1,Lset(k)), addr(1,Dset(m)),&
addr(2,Lset(k)), addr(2,Dset(m)) ) ) then
if (do_direct_integrals) then
Delta(k,m) = Delta(k,m) + &
ao_two_e_integral(addr(1,Lset(k)), addr(2,Lset(k)),&
addr(1,Dset(m)), addr(2,Dset(m)))
else
Delta(k,m) = Delta(k,m) + &
get_ao_two_e_integral( addr(1,Lset(k)), addr(1,Dset(m)),&
addr(2,Lset(k)), addr(2,Dset(m)), ao_integrals_map)
endif
endif
enddo
!$OMP END PARALLEL DO
computed(dj) = .True.
endif
iblock = iblock+1
do p=1,np
Ltmp_p(p,iblock) = Delta(p,dj)
enddo
! iv.
if (iblock > 1) then
call dgemv('N', np, iblock-1, -1.d0, Ltmp_p, np, Ltmp_q(dj,1), nq, 1.d0,&
Ltmp_p(1,iblock), 1)
endif
! iii.
f = 1.d0/dsqrt(Qmax)
!$OMP PARALLEL PRIVATE(m,p,q,k) DEFAULT(shared)
!$OMP DO
do p=1,np
Ltmp_p(p,iblock) = Ltmp_p(p,iblock) * f
L(Lset(p), rank) = Ltmp_p(p,iblock)
D(Lset(p)) = D(Lset(p)) - Ltmp_p(p,iblock) * Ltmp_p(p,iblock)
enddo
!$OMP END DO
!$OMP DO
do q=1,nq
Ltmp_q(q,iblock) = L(Dset(q), rank)
enddo
!$OMP END DO
!$OMP END PARALLEL
Qmax = D(Dset(1))
do q=1,nq
Qmax = max(Qmax, D(Dset(q)))
enddo
enddo
print '(I10, 4X, ES12.3)', rank, Qmax
deallocate(computed)
deallocate(Delta)
deallocate(Ltmp_p)
deallocate(Ltmp_q)
! i.
N = rank
! j.
Dmax = D(Lset(1))
do p=1,np
Dmax = max(Dmax, D(Lset(p)))
enddo
np=0
do p=1,ndim
if ( dscale*dscale*Dmax*D(p) > tau*tau ) then
np = np+1
Lset(np) = p
endif
enddo
enddo
allocate(cholesky_ao(ao_num,ao_num,rank), stat=ierr)
if (ierr /= 0) then
call print_memory_usage()
print *, irp_here, ': Allocation failed'
stop -1
endif
!$OMP PARALLEL DO PRIVATE(k)
do k=1,rank
call dcopy(ndim, L(1,k), 1, cholesky_ao(1,1,k), 1)
enddo
!$OMP END PARALLEL DO
deallocate(L)
cholesky_ao_num = rank
print *, '============ ============='
print *, ''
if (write_ao_cholesky) then
print *, 'Writing Cholesky vectors to disk...'
iunit = getUnitAndOpen(trim(ezfio_work_dir)//'cholesky_ao', 'W')
write(iunit) rank
write(iunit) cholesky_ao
close(iunit)
call ezfio_set_ao_two_e_ints_io_ao_cholesky('Read')
endif
endif
print *, 'Rank : ', cholesky_ao_num, '(', 100.d0*dble(cholesky_ao_num)/dble(ao_num*ao_num), ' %)'
print *, ''
END_PROVIDER

0
src/cosgtos_ao_int/gauss_legendre.irp.f → src/ao_two_e_ints/gauss_legendre.irp.f
View File

26
src/cosgtos_ao_int/two_e_Coul_integrals.irp.f → src/ao_two_e_ints/two_e_Coul_integrals_cosgtos.irp.f
View File

@ -29,14 +29,14 @@ double precision function ao_two_e_integral_cosgtos(i, j, k, l)
complex*16 :: integral5, integral6, integral7, integral8
complex*16 :: integral_tot
double precision :: ao_two_e_integral_cosgtos_schwartz_accel
double precision :: ao_2e_cosgtos_schwartz_accel
complex*16 :: ERI_cosgtos
complex*16 :: general_primitive_integral_cosgtos
if(ao_prim_num(i) * ao_prim_num(j) * ao_prim_num(k) * ao_prim_num(l) > 1024) then
!print *, ' with shwartz acc '
ao_two_e_integral_cosgtos = ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
ao_two_e_integral_cosgtos = ao_2e_cosgtos_schwartz_accel(i, j, k, l)
else
!print *, ' without shwartz acc '
@ -294,7 +294,7 @@ end function ao_two_e_integral_cosgtos
! ---
double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
double precision function ao_2e_cosgtos_schwartz_accel(i, j, k, l)
BEGIN_DOC
! integral of the AO basis <ik|jl> or (ij|kl)
@ -329,7 +329,7 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
complex*16 :: ERI_cosgtos
complex*16 :: general_primitive_integral_cosgtos
ao_two_e_integral_cosgtos_schwartz_accel = 0.d0
ao_2e_cosgtos_schwartz_accel = 0.d0
dim1 = n_pt_max_integrals
@ -519,8 +519,7 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
integral_tot = integral1 + integral2 + integral3 + integral4 + integral5 + integral6 + integral7 + integral8
ao_two_e_integral_cosgtos_schwartz_accel = ao_two_e_integral_cosgtos_schwartz_accel &
+ coef4 * 2.d0 * real(integral_tot)
ao_2e_cosgtos_schwartz_accel = ao_2e_cosgtos_schwartz_accel + coef4 * 2.d0 * real(integral_tot)
enddo ! s
enddo ! r
enddo ! q
@ -698,8 +697,7 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
integral_tot = integral1 + integral2 + integral3 + integral4 + integral5 + integral6 + integral7 + integral8
ao_two_e_integral_cosgtos_schwartz_accel = ao_two_e_integral_cosgtos_schwartz_accel &
+ coef4 * 2.d0 * real(integral_tot)
ao_2e_cosgtos_schwartz_accel = ao_2e_cosgtos_schwartz_accel + coef4 * 2.d0 * real(integral_tot)
enddo ! s
enddo ! r
enddo ! q
@ -709,11 +707,11 @@ double precision function ao_two_e_integral_cosgtos_schwartz_accel(i, j, k, l)
deallocate(schwartz_kl)
end function ao_two_e_integral_cosgtos_schwartz_accel
end function ao_2e_cosgtos_schwartz_accel
! ---
BEGIN_PROVIDER [ double precision, ao_two_e_integral_cosgtos_schwartz, (ao_num,ao_num) ]
BEGIN_PROVIDER [ double precision, ao_2e_cosgtos_schwartz, (ao_num,ao_num)]
BEGIN_DOC
! Needed to compute Schwartz inequalities
@ -723,16 +721,16 @@ BEGIN_PROVIDER [ double precision, ao_two_e_integral_cosgtos_schwartz, (ao_num,a
integer :: i, k
double precision :: ao_two_e_integral_cosgtos
ao_two_e_integral_cosgtos_schwartz(1,1) = ao_two_e_integral_cosgtos(1, 1, 1, 1)
ao_2e_cosgtos_schwartz(1,1) = ao_two_e_integral_cosgtos(1, 1, 1, 1)
!$OMP PARALLEL DO PRIVATE(i,k) &
!$OMP DEFAULT(NONE) &
!$OMP SHARED(ao_num, ao_two_e_integral_cosgtos_schwartz) &
!$OMP SHARED(ao_num, ao_2e_cosgtos_schwartz) &
!$OMP SCHEDULE(dynamic)
do i = 1, ao_num
do k = 1, i
ao_two_e_integral_cosgtos_schwartz(i,k) = dsqrt(ao_two_e_integral_cosgtos(i, i, k, k))
ao_two_e_integral_cosgtos_schwartz(k,i) = ao_two_e_integral_cosgtos_schwartz(i,k)
ao_2e_cosgtos_schwartz(i,k) = dsqrt(ao_two_e_integral_cosgtos(i, i, k, k))
ao_2e_cosgtos_schwartz(k,i) = ao_2e_cosgtos_schwartz(i,k)
enddo
enddo
!$OMP END PARALLEL DO

585
src/ao_two_e_ints/two_e_integrals.irp.f
View File

@ -460,7 +460,7 @@ BEGIN_PROVIDER [ double precision, ao_two_e_integral_schwartz, (ao_num, ao_num)
!$OMP PARALLEL DO PRIVATE(i,k) &
!$OMP DEFAULT(NONE) &
!$OMP SHARED (ao_num,ao_two_e_integral_schwartz) &
!$OMP SCHEDULE(dynamic)
!$OMP SCHEDULE(guided)
do i=1,ao_num
do k=1,i
ao_two_e_integral_schwartz(i,k) = dsqrt(ao_two_e_integral(i,i,k,k))
@ -590,8 +590,20 @@ double precision function general_primitive_integral(dim, &
d_poly(i)=0.d0
enddo
!DIR$ FORCEINLINE
call multiply_poly(Ix_pol,n_Ix,Iy_pol,n_Iy,d_poly,n_pt_tmp)
! call multiply_poly(Ix_pol,n_Ix,Iy_pol,n_Iy,d_poly,n_pt_tmp)
integer :: ib, ic
if (ior(n_Ix,n_Iy) >= 0) then
do ib=0,n_Ix
do ic = 0,n_Iy
d_poly(ib+ic) = d_poly(ib+ic) + Iy_pol(ic) * Ix_pol(ib)
enddo
enddo
do n_pt_tmp = n_Ix+n_Iy, 0, -1
if (d_poly(n_pt_tmp) /= 0.d0) exit
enddo
endif
if (n_pt_tmp == -1) then
return
endif
@ -600,8 +612,21 @@ double precision function general_primitive_integral(dim, &
d1(i)=0.d0
enddo
!DIR$ FORCEINLINE
call multiply_poly(d_poly ,n_pt_tmp ,Iz_pol,n_Iz,d1,n_pt_out)
! call multiply_poly(d_poly ,n_pt_tmp ,Iz_pol,n_Iz,d1,n_pt_out)
if (ior(n_pt_tmp,n_Iz) >= 0) then
! Bottleneck here
do ib=0,n_pt_tmp
do ic = 0,n_Iz
d1(ib+ic) = d1(ib+ic) + Iz_pol(ic) * d_poly(ib)
enddo
enddo
do n_pt_out = n_pt_tmp+n_Iz, 0, -1
if (d1(n_pt_out) /= 0.d0) exit
enddo
endif
double precision :: rint_sum
accu = accu + rint_sum(n_pt_out,const,d1)
@ -926,7 +951,7 @@ recursive subroutine I_x1_pol_mult_recurs(a,c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt
double precision :: X(0:max_dim)
double precision :: Y(0:max_dim)
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: X,Y
integer :: nx, ix,iy,ny
integer :: nx, ix,iy,ny,ib
ASSERT (a>2)
!DIR$ LOOP COUNT(8)
@ -948,8 +973,44 @@ recursive subroutine I_x1_pol_mult_recurs(a,c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt
X(ix) *= dble(a-1)
enddo
!DIR$ FORCEINLINE
call multiply_poly(X,nx,B_10,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(X,nx,B_10,d,nd)
if (nx >= 0) then
select case (nx)
case (0)
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(1) * X(0)
d(2) = d(2) + B_10(2) * X(0)
case (1)
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(0) * X(1) + B_10(1) * X(0)
d(2) = d(2) + B_10(1) * X(1) + B_10(2) * X(0)
d(3) = d(3) + B_10(2) * X(1)
case (2)
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(0) * X(1) + B_10(1) * X(0)
d(2) = d(2) + B_10(0) * X(2) + B_10(1) * X(1) + B_10(2) * X(0)
d(3) = d(3) + B_10(1) * X(2) + B_10(2) * X(1)
d(4) = d(4) + B_10(2) * X(2)
case default
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(0) * X(1) + B_10(1) * X(0)
do ib=2,nx
d(ib) = d(ib) + B_10(0) * X(ib) + B_10(1) * X(ib-1) + B_10(2) * X(ib-2)
enddo
d(nx+1) = d(nx+1) + B_10(1) * X(nx) + B_10(2) * X(nx-1)
d(nx+2) = d(nx+2) + B_10(2) * X(nx)
end select
do nd = nx+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
nx = nd
!DIR$ LOOP COUNT(8)
@ -970,8 +1031,47 @@ recursive subroutine I_x1_pol_mult_recurs(a,c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt
X(ix) *= c
enddo
endif
!DIR$ FORCEINLINE
call multiply_poly(X,nx,B_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(X,nx,B_00,d,nd)
if(nx >= 0) then
select case (nx)
case (0)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(2) * X(0)
case (1)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(1) * X(1) + B_00(2) * X(0)
d(3) = d(3) + B_00(2) * X(1)
case (2)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(0) * X(2) + B_00(1) * X(1) + B_00(2) * X(0)
d(3) = d(3) + B_00(1) * X(2) + B_00(2) * X(1)
d(4) = d(4) + B_00(2) * X(2)
case default
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
do ib=2,nx
d(ib) = d(ib) + B_00(0) * X(ib) + B_00(1) * X(ib-1) + B_00(2) * X(ib-2)
enddo
d(nx+1) = d(nx+1) + B_00(1) * X(nx) + B_00(2) * X(nx-1)
d(nx+2) = d(nx+2) + B_00(2) * X(nx)
end select
do nd = nx+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
endif
ny=0
@ -988,8 +1088,45 @@ recursive subroutine I_x1_pol_mult_recurs(a,c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt
call I_x1_pol_mult_recurs(a-1,c,B_10,B_01,B_00,C_00,D_00,Y,ny,n_pt_in)
endif
!DIR$ FORCEINLINE
call multiply_poly(Y,ny,C_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(Y,ny,C_00,d,nd)
if(ny >= 0) then
select case (ny)
case (0)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(2) * Y(0)
case (1)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(1) * Y(1) + C_00(2) * Y(0)
d(3) = d(3) + C_00(2) * Y(1)
case (2)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(0) * Y(2) + C_00(1) * Y(1) + C_00(2) * Y(0)
d(3) = d(3) + C_00(1) * Y(2) + C_00(2) * Y(1)
d(4) = d(4) + C_00(2) * Y(2)
case default
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
do ib=2,ny
d(ib) = d(ib) + C_00(0) * Y(ib) + C_00(1) * Y(ib-1) + C_00(2) * Y(ib-2)
enddo
d(ny+1) = d(ny+1) + C_00(1) * Y(ny) + C_00(2) * Y(ny-1)
d(ny+2) = d(ny+2) + C_00(2) * Y(ny)
end select
do nd = ny+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
end
@ -1007,7 +1144,7 @@ recursive subroutine I_x1_pol_mult_a1(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
double precision :: X(0:max_dim)
double precision :: Y(0:max_dim)
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: X,Y
integer :: nx, ix,iy,ny
integer :: nx, ix,iy,ny,ib
if( (c<0).or.(nd<0) )then
nd = -1
@ -1028,8 +1165,45 @@ recursive subroutine I_x1_pol_mult_a1(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
enddo
endif
!DIR$ FORCEINLINE
call multiply_poly(X,nx,B_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(X,nx,B_00,d,nd)
if(nx >= 0) then
select case (nx)
case (0)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(2) * X(0)
case (1)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(1) * X(1) + B_00(2) * X(0)
d(3) = d(3) + B_00(2) * X(1)
case (2)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(0) * X(2) + B_00(1) * X(1) + B_00(2) * X(0)
d(3) = d(3) + B_00(1) * X(2) + B_00(2) * X(1)
d(4) = d(4) + B_00(2) * X(2)
case default
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
do ib=2,nx
d(ib) = d(ib) + B_00(0) * X(ib) + B_00(1) * X(ib-1) + B_00(2) * X(ib-2)
enddo
d(nx+1) = d(nx+1) + B_00(1) * X(nx) + B_00(2) * X(nx-1)
d(nx+2) = d(nx+2) + B_00(2) * X(nx)
end select
do nd = nx+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
ny=0
@ -1039,8 +1213,45 @@ recursive subroutine I_x1_pol_mult_a1(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
enddo
call I_x2_pol_mult(c,B_10,B_01,B_00,C_00,D_00,Y,ny,n_pt_in)
!DIR$ FORCEINLINE
call multiply_poly(Y,ny,C_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(Y,ny,C_00,d,nd)
if(ny >= 0) then
select case (ny)
case (0)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(2) * Y(0)
case (1)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(1) * Y(1) + C_00(2) * Y(0)
d(3) = d(3) + C_00(2) * Y(1)
case (2)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(0) * Y(2) + C_00(1) * Y(1) + C_00(2) * Y(0)
d(3) = d(3) + C_00(1) * Y(2) + C_00(2) * Y(1)
d(4) = d(4) + C_00(2) * Y(2)
case default
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
do ib=2,ny
d(ib) = d(ib) + C_00(0) * Y(ib) + C_00(1) * Y(ib-1) + C_00(2) * Y(ib-2)
enddo
d(ny+1) = d(ny+1) + C_00(1) * Y(ny) + C_00(2) * Y(ny-1)
d(ny+2) = d(ny+2) + C_00(2) * Y(ny)
end select
do nd = ny+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
end
@ -1058,7 +1269,7 @@ recursive subroutine I_x1_pol_mult_a2(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
double precision :: X(0:max_dim)
double precision :: Y(0:max_dim)
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: X,Y
integer :: nx, ix,iy,ny
integer :: nx, ix,iy,ny,ib
!DIR$ LOOP COUNT(8)
do ix=0,n_pt_in
@ -1067,8 +1278,45 @@ recursive subroutine I_x1_pol_mult_a2(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
nx = 0
call I_x2_pol_mult(c,B_10,B_01,B_00,C_00,D_00,X,nx,n_pt_in)
!DIR$ FORCEINLINE
call multiply_poly(X,nx,B_10,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(X,nx,B_10,d,nd)
if(nx >= 0) then
select case (nx)
case (0)
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(1) * X(0)
d(2) = d(2) + B_10(2) * X(0)
case (1)
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(0) * X(1) + B_10(1) * X(0)
d(2) = d(2) + B_10(1) * X(1) + B_10(2) * X(0)
d(3) = d(3) + B_10(2) * X(1)
case (2)
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(0) * X(1) + B_10(1) * X(0)
d(2) = d(2) + B_10(0) * X(2) + B_10(1) * X(1) + B_10(2) * X(0)
d(3) = d(3) + B_10(1) * X(2) + B_10(2) * X(1)
d(4) = d(4) + B_10(2) * X(2)
case default
d(0) = d(0) + B_10(0) * X(0)
d(1) = d(1) + B_10(0) * X(1) + B_10(1) * X(0)
do ib=2,nx
d(ib) = d(ib) + B_10(0) * X(ib) + B_10(1) * X(ib-1) + B_10(2) * X(ib-2)
enddo
d(nx+1) = d(nx+1) + B_10(1) * X(nx) + B_10(2) * X(nx-1)
d(nx+2) = d(nx+2) + B_10(2) * X(nx)
end select
do nd = nx+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
nx = nd
!DIR$ LOOP COUNT(8)
@ -1086,8 +1334,45 @@ recursive subroutine I_x1_pol_mult_a2(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
enddo
endif
!DIR$ FORCEINLINE
call multiply_poly(X,nx,B_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(X,nx,B_00,d,nd)
if(nx >= 0) then
select case (nx)
case (0)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(2) * X(0)
case (1)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(1) * X(1) + B_00(2) * X(0)
d(3) = d(3) + B_00(2) * X(1)
case (2)
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
d(2) = d(2) + B_00(0) * X(2) + B_00(1) * X(1) + B_00(2) * X(0)
d(3) = d(3) + B_00(1) * X(2) + B_00(2) * X(1)
d(4) = d(4) + B_00(2) * X(2)
case default
d(0) = d(0) + B_00(0) * X(0)
d(1) = d(1) + B_00(0) * X(1) + B_00(1) * X(0)
do ib=2,nx
d(ib) = d(ib) + B_00(0) * X(ib) + B_00(1) * X(ib-1) + B_00(2) * X(ib-2)
enddo
d(nx+1) = d(nx+1) + B_00(1) * X(nx) + B_00(2) * X(nx-1)
d(nx+2) = d(nx+2) + B_00(2) * X(nx)
end select
do nd = nx+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
ny=0
!DIR$ LOOP COUNT(8)
@ -1097,8 +1382,45 @@ recursive subroutine I_x1_pol_mult_a2(c,B_10,B_01,B_00,C_00,D_00,d,nd,n_pt_in)
!DIR$ FORCEINLINE
call I_x1_pol_mult_a1(c,B_10,B_01,B_00,C_00,D_00,Y,ny,n_pt_in)
!DIR$ FORCEINLINE
call multiply_poly(Y,ny,C_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(Y,ny,C_00,d,nd)
if(ny >= 0) then
select case (ny)
case (0)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(2) * Y(0)
case (1)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(1) * Y(1) + C_00(2) * Y(0)
d(3) = d(3) + C_00(2) * Y(1)
case (2)
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
d(2) = d(2) + C_00(0) * Y(2) + C_00(1) * Y(1) + C_00(2) * Y(0)
d(3) = d(3) + C_00(1) * Y(2) + C_00(2) * Y(1)
d(4) = d(4) + C_00(2) * Y(2)
case default
d(0) = d(0) + C_00(0) * Y(0)
d(1) = d(1) + C_00(0) * Y(1) + C_00(1) * Y(0)
do ib=2,ny
d(ib) = d(ib) + C_00(0) * Y(ib) + C_00(1) * Y(ib-1) + C_00(2) * Y(ib-2)
enddo
d(ny+1) = d(ny+1) + C_00(1) * Y(ny) + C_00(2) * Y(ny-1)
d(ny+2) = d(ny+2) + C_00(2) * Y(ny)
end select
do nd = ny+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
end
@ -1116,7 +1438,7 @@ recursive subroutine I_x2_pol_mult(c,B_10,B_01,B_00,C_00,D_00,d,nd,dim)
integer :: nx, ix,ny
double precision :: X(0:max_dim),Y(0:max_dim)
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: X, Y
integer :: i
integer :: i, ib
select case (c)
case (0)
@ -1146,8 +1468,47 @@ recursive subroutine I_x2_pol_mult(c,B_10,B_01,B_00,C_00,D_00,d,nd,dim)
Y(1) = D_00(1)
Y(2) = D_00(2)
!DIR$ FORCEINLINE
call multiply_poly(Y,ny,D_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(Y,ny,D_00,d,nd)
if(ny >= 0) then
select case (ny)
case (0)
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(1) * Y(0)
d(2) = d(2) + D_00(2) * Y(0)
case (1)
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(0) * Y(1) + D_00(1) * Y(0)
d(2) = d(2) + D_00(1) * Y(1) + D_00(2) * Y(0)
d(3) = d(3) + D_00(2) * Y(1)
case (2)
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(0) * Y(1) + D_00(1) * Y(0)
d(2) = d(2) + D_00(0) * Y(2) + D_00(1) * Y(1) + D_00(2) * Y(0)
d(3) = d(3) + D_00(1) * Y(2) + D_00(2) * Y(1)
d(4) = d(4) + D_00(2) * Y(2)
case default
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(0) * Y(1) + D_00(1) * Y(0)
do ib=2,ny
d(ib) = d(ib) + D_00(0) * Y(ib) + D_00(1) * Y(ib-1) + D_00(2) * Y(ib-2)
enddo
d(ny+1) = d(ny+1) + D_00(1) * Y(ny) + D_00(2) * Y(ny-1)
d(ny+2) = d(ny+2) + D_00(2) * Y(ny)
end select
do nd = ny+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
return
case default
@ -1164,8 +1525,45 @@ recursive subroutine I_x2_pol_mult(c,B_10,B_01,B_00,C_00,D_00,d,nd,dim)
X(ix) *= dble(c-1)
enddo
!DIR$ FORCEINLINE
call multiply_poly(X,nx,B_01,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(X,nx,B_01,d,nd)
if(nx >= 0) then
select case (nx)
case (0)
d(0) = d(0) + B_01(0) * X(0)
d(1) = d(1) + B_01(1) * X(0)
d(2) = d(2) + B_01(2) * X(0)
case (1)
d(0) = d(0) + B_01(0) * X(0)
d(1) = d(1) + B_01(0) * X(1) + B_01(1) * X(0)
d(2) = d(2) + B_01(1) * X(1) + B_01(2) * X(0)
d(3) = d(3) + B_01(2) * X(1)
case (2)
d(0) = d(0) + B_01(0) * X(0)
d(1) = d(1) + B_01(0) * X(1) + B_01(1) * X(0)
d(2) = d(2) + B_01(0) * X(2) + B_01(1) * X(1) + B_01(2) * X(0)
d(3) = d(3) + B_01(1) * X(2) + B_01(2) * X(1)
d(4) = d(4) + B_01(2) * X(2)
case default
d(0) = d(0) + B_01(0) * X(0)
d(1) = d(1) + B_01(0) * X(1) + B_01(1) * X(0)
do ib=2,nx
d(ib) = d(ib) + B_01(0) * X(ib) + B_01(1) * X(ib-1) + B_01(2) * X(ib-2)
enddo
d(nx+1) = d(nx+1) + B_01(1) * X(nx) + B_01(2) * X(nx-1)
d(nx+2) = d(nx+2) + B_01(2) * X(nx)
end select
do nd = nx+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
ny = 0
!DIR$ LOOP COUNT(6)
@ -1174,8 +1572,46 @@ recursive subroutine I_x2_pol_mult(c,B_10,B_01,B_00,C_00,D_00,d,nd,dim)
enddo
call I_x2_pol_mult(c-1,B_10,B_01,B_00,C_00,D_00,Y,ny,dim)
!DIR$ FORCEINLINE
call multiply_poly(Y,ny,D_00,2,d,nd)
! !DIR$ FORCEINLINE
! call multiply_poly_c2_inline_2e(Y,ny,D_00,d,nd)
if(ny >= 0) then
select case (ny)
case (0)
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(1) * Y(0)
d(2) = d(2) + D_00(2) * Y(0)
case (1)
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(0) * Y(1) + D_00(1) * Y(0)
d(2) = d(2) + D_00(1) * Y(1) + D_00(2) * Y(0)
d(3) = d(3) + D_00(2) * Y(1)
case (2)
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(0) * Y(1) + D_00(1) * Y(0)
d(2) = d(2) + D_00(0) * Y(2) + D_00(1) * Y(1) + D_00(2) * Y(0)
d(3) = d(3) + D_00(1) * Y(2) + D_00(2) * Y(1)
d(4) = d(4) + D_00(2) * Y(2)
case default
d(0) = d(0) + D_00(0) * Y(0)
d(1) = d(1) + D_00(0) * Y(1) + D_00(1) * Y(0)
do ib=2,ny
d(ib) = d(ib) + D_00(0) * Y(ib) + D_00(1) * Y(ib-1) + D_00(2) * Y(ib-2)
enddo
d(ny+1) = d(ny+1) + D_00(1) * Y(ny) + D_00(2) * Y(ny-1)
d(ny+2) = d(ny+2) + D_00(2) * Y(ny)
end select
do nd = ny+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
endif
end select
end
@ -1197,7 +1633,8 @@ subroutine compute_ao_integrals_jl(j,l,n_integrals,buffer_i,buffer_value)
logical, external :: ao_two_e_integral_zero
integer :: i,k
double precision :: ao_two_e_integral,cpu_1,cpu_2, wall_1, wall_2
double precision, external :: ao_two_e_integral
double precision :: cpu_1,cpu_2, wall_1, wall_2
double precision :: integral, wall_0
double precision :: thr
integer :: kk, m, j1, i1
@ -1233,3 +1670,87 @@ subroutine compute_ao_integrals_jl(j,l,n_integrals,buffer_i,buffer_value)
enddo
end
subroutine multiply_poly_local(b,nb,c,nc,d,nd)
implicit none
BEGIN_DOC
! Multiply two polynomials
! D(t) += B(t)*C(t)
END_DOC
integer, intent(in) :: nb, nc
integer, intent(out) :: nd
double precision, intent(in) :: b(0:nb), c(0:nc)
double precision, intent(inout) :: d(0:nb+nc)
integer :: ndtmp
integer :: ib, ic, id, k
if(ior(nc,nb) < 0) return !False if nc>=0 and nb>=0
do ib=0,nb
do ic = 0,nc
d(ib+ic) = d(ib+ic) + c(ic) * b(ib)
enddo
enddo
do nd = nb+nc,0,-1
if (d(nd) /= 0.d0) exit
enddo
end
!DIR$ FORCEINLINE
subroutine multiply_poly_c2_inline_2e(b,nb,c,d,nd)
implicit none
BEGIN_DOC
! Multiply two polynomials
! D(t) += B(t)*C(t)
END_DOC
integer, intent(in) :: nb
integer, intent(out) :: nd
double precision, intent(in) :: b(0:nb), c(0:2)
double precision, intent(inout) :: d(0:nb+2)
integer :: ndtmp
integer :: ib, ic, id, k
if(nb < 0) return !False if nb>=0
select case (nb)
case (0)
d(0) = d(0) + c(0) * b(0)
d(1) = d(1) + c(1) * b(0)
d(2) = d(2) + c(2) * b(0)
case (1)
d(0) = d(0) + c(0) * b(0)
d(1) = d(1) + c(0) * b(1) + c(1) * b(0)
d(2) = d(2) + c(1) * b(1) + c(2) * b(0)
d(3) = d(3) + c(2) * b(1)
case (2)
d(0) = d(0) + c(0) * b(0)
d(1) = d(1) + c(0) * b(1) + c(1) * b(0)
d(2) = d(2) + c(0) * b(2) + c(1) * b(1) + c(2) * b(0)
d(3) = d(3) + c(1) * b(2) + c(2) * b(1)
d(4) = d(4) + c(2) * b(2)
case default
d(0) = d(0) + c(0) * b(0)
d(1) = d(1) + c(0) * b(1) + c(1) * b(0)
do ib=2,nb
d(ib) = d(ib) + c(0) * b(ib) + c(1) * b(ib-1) + c(2) * b(ib-2)
enddo
d(nb+1) = d(nb+1) + c(1) * b(nb) + c(2) * b(nb-1)
d(nb+2) = d(nb+2) + c(2) * b(nb)
end select
do nd = nb+2,0,-1
if (d(nd) /= 0.d0) exit
enddo
end

16
src/becke_numerical_grid/EZFIO.cfg
View File

@ -33,6 +33,10 @@ doc: Number of angular grid points given from input. Warning, this number cannot
interface: ezfio,provider,ocaml
default: 1202
[n_points_extra_final_grid]
type: integer
doc: Total number of extra_grid points
interface: ezfio
[extra_grid_type_sgn]
type: integer
@ -64,3 +68,15 @@ doc: Number of angular extra_grid points given from input. Warning, this number
interface: ezfio,provider,ocaml
default: 1202
[rad_grid_type]
type: character*(32)
doc: method used to sample the radial space. Possible choices are [KNOWLES | GILL]
interface: ezfio,provider,ocaml
default: KNOWLES
[extra_rad_grid_type]
type: character*(32)
doc: method used to sample the radial space. Possible choices are [KNOWLES | GILL]
interface: ezfio,provider,ocaml
default: KNOWLES

148
src/becke_numerical_grid/extra_grid.irp.f
View File

@ -1,7 +1,9 @@
! ---
BEGIN_PROVIDER [integer, n_points_extra_radial_grid]
&BEGIN_PROVIDER [integer, n_points_extra_integration_angular]
implicit none
BEGIN_DOC
! n_points_extra_radial_grid = number of radial grid points_extra per atom
!
@ -9,7 +11,10 @@
!
! These numbers are automatically set by setting the grid_type_sgn parameter
END_DOC
if(.not.my_extra_grid_becke)then
implicit none
if(.not. my_extra_grid_becke) then
select case (extra_grid_type_sgn)
case(0)
n_points_extra_radial_grid = 23
@ -27,70 +32,118 @@ if(.not.my_extra_grid_becke)then
write(*,*) '!!! Quadrature grid not available !!!'
stop
end select
else
else
n_points_extra_radial_grid = my_n_pt_r_extra_grid
n_points_extra_integration_angular = my_n_pt_a_extra_grid
endif
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [integer, n_points_extra_grid_per_atom]
implicit none
BEGIN_DOC
! Number of grid points_extra per atom
END_DOC
implicit none
n_points_extra_grid_per_atom = n_points_extra_integration_angular * n_points_extra_radial_grid
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, grid_points_extra_radial, (n_points_extra_radial_grid)]
&BEGIN_PROVIDER [double precision, dr_radial_extra_integral]
implicit none
BEGIN_DOC
! points_extra in [0,1] to map the radial integral [0,\infty]
END_DOC
dr_radial_extra_integral = 1.d0/dble(n_points_extra_radial_grid-1)
implicit none
integer :: i
dr_radial_extra_integral = 1.d0/dble(n_points_extra_radial_grid-1)
do i = 1, n_points_extra_radial_grid
grid_points_extra_radial(i) = dble(i-1) * dr_radial_extra_integral
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, grid_points_extra_per_atom, (3,n_points_extra_integration_angular,n_points_extra_radial_grid,nucl_num)]
BEGIN_DOC
! x,y,z coordinates of grid points_extra used for integration in 3d space
END_DOC
implicit none
integer :: i,j,k
double precision :: dr,x_ref,y_ref,z_ref
double precision :: knowles_function
integer :: i, j, k
double precision :: dr, x_ref, y_ref, z_ref
double precision :: x, r, tmp
double precision, external :: knowles_function
grid_points_extra_per_atom = 0.d0
PROVIDE extra_rad_grid_type
if(extra_rad_grid_type .eq. "KNOWLES") then
do i = 1, nucl_num
x_ref = nucl_coord(i,1)
y_ref = nucl_coord(i,2)
z_ref = nucl_coord(i,3)
do j = 1, n_points_extra_radial_grid-1
double precision :: x,r
! x value for the mapping of the [0, +\infty] to [0,1]
x = grid_points_extra_radial(j)
! value of the radial coordinate for the integration
r = knowles_function(alpha_knowles(grid_atomic_number(i)),m_knowles,x)
r = knowles_function(alpha_knowles(grid_atomic_number(i)), m_knowles, x)
! explicit values of the grid points_extra centered around each atom
do k = 1, n_points_extra_integration_angular
grid_points_extra_per_atom(1,k,j,i) = &
x_ref + angular_quadrature_points_extra(k,1) * r
grid_points_extra_per_atom(2,k,j,i) = &
y_ref + angular_quadrature_points_extra(k,2) * r
grid_points_extra_per_atom(3,k,j,i) = &
z_ref + angular_quadrature_points_extra(k,3) * r
grid_points_extra_per_atom(1,k,j,i) = x_ref + angular_quadrature_points_extra(k,1) * r
grid_points_extra_per_atom(2,k,j,i) = y_ref + angular_quadrature_points_extra(k,2) * r
grid_points_extra_per_atom(3,k,j,i) = z_ref + angular_quadrature_points_extra(k,3) * r
enddo
enddo
enddo
elseif(extra_rad_grid_type .eq. "GILL") then
! GILL & CHIEN, 2002
do i = 1, nucl_num
x_ref = nucl_coord(i,1)
y_ref = nucl_coord(i,2)
z_ref = nucl_coord(i,3)
do j = 1, n_points_extra_radial_grid-1
r = R_gill * dble(j-1)**2 / dble(n_points_extra_radial_grid-j+1)**2
! explicit values of the grid points_extra centered around each atom
do k = 1, n_points_extra_integration_angular
grid_points_extra_per_atom(1,k,j,i) = x_ref + angular_quadrature_points_extra(k,1) * r
grid_points_extra_per_atom(2,k,j,i) = y_ref + angular_quadrature_points_extra(k,2) * r
grid_points_extra_per_atom(3,k,j,i) = z_ref + angular_quadrature_points_extra(k,3) * r
enddo
enddo
enddo
else
print*, " extra_rad_grid_type = ", extra_rad_grid_type, ' is not implemented'
stop
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, weight_at_r_extra, (n_points_extra_integration_angular,n_points_extra_radial_grid,nucl_num) ]
BEGIN_DOC
! Weight function at grid points_extra : w_n(r) according to the equation (22)
! of Becke original paper (JCP, 88, 1988)
@ -99,11 +152,14 @@ BEGIN_PROVIDER [double precision, weight_at_r_extra, (n_points_extra_integration
! represented by the last dimension and the points_extra are labelled by the
! other dimensions.
END_DOC
implicit none
integer :: i,j,k,l,m
integer :: i, j, k, l, m
double precision :: r(3)
double precision :: accu,cell_function_becke
double precision :: accu
double precision :: tmp_array(nucl_num)
double precision, external :: cell_function_becke
! run over all points_extra in space
! that are referred to each atom
do j = 1, nucl_num
@ -114,6 +170,7 @@ BEGIN_PROVIDER [double precision, weight_at_r_extra, (n_points_extra_integration
r(1) = grid_points_extra_per_atom(1,l,k,j)
r(2) = grid_points_extra_per_atom(2,l,k,j)
r(3) = grid_points_extra_per_atom(3,l,k,j)
accu = 0.d0
! For each of these points_extra in space, ou need to evaluate the P_n(r)
do i = 1, nucl_num
@ -124,6 +181,7 @@ BEGIN_PROVIDER [double precision, weight_at_r_extra, (n_points_extra_integration
enddo
accu = 1.d0/accu
weight_at_r_extra(l,k,j) = tmp_array(j) * accu
if(isnan(weight_at_r_extra(l,k,j)))then
print*,'isnan(weight_at_r_extra(l,k,j))'
print*,l,k,j
@ -144,25 +202,32 @@ BEGIN_PROVIDER [double precision, weight_at_r_extra, (n_points_extra_integration
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, final_weight_at_r_extra, (n_points_extra_integration_angular,n_points_extra_radial_grid,nucl_num) ]
BEGIN_DOC
! Total weight on each grid point which takes into account all Lebedev, Voronoi and radial weights.
END_DOC
implicit none
integer :: i,j,k,l,m
integer :: i, j, k, l, m
double precision :: r(3)
double precision :: accu,cell_function_becke
double precision :: tmp_array(nucl_num)
double precision :: contrib_integration,x
double precision :: derivative_knowles_function,knowles_function
double precision :: contrib_integration, x, tmp
double precision, external :: derivative_knowles_function, knowles_function
PROVIDE extra_rad_grid_type
if(extra_rad_grid_type .eq. "KNOWLES") then
! run over all points_extra in space
do j = 1, nucl_num ! that are referred to each atom
do i = 1, n_points_extra_radial_grid -1 !for each radial grid attached to the "jth" atom
x = grid_points_extra_radial(i) ! x value for the mapping of the [0, +\infty] to [0,1]
do k = 1, n_points_extra_integration_angular ! for each angular point attached to the "jth" atom
contrib_integration = derivative_knowles_function(alpha_knowles(grid_atomic_number(j)),m_knowles,x)&
*knowles_function(alpha_knowles(grid_atomic_number(j)),m_knowles,x)**2
* knowles_function(alpha_knowles(grid_atomic_number(j)),m_knowles,x)**2
final_weight_at_r_extra(k,i,j) = weights_angular_points_extra(k) * weight_at_r_extra(k,i,j) * contrib_integration * dr_radial_extra_integral
if(isnan(final_weight_at_r_extra(k,i,j)))then
print*,'isnan(final_weight_at_r_extra(k,i,j))'
@ -174,5 +239,36 @@ BEGIN_PROVIDER [double precision, final_weight_at_r_extra, (n_points_extra_integ
enddo
enddo
elseif(extra_rad_grid_type .eq. "GILL") then
! GILL & CHIEN, 2002
PROVIDE R_gill
tmp = 2.d0 * R_gill * R_gill * R_gill * dble(n_points_extra_radial_grid)
! run over all points_extra in space
do j = 1, nucl_num ! that are referred to each atom
do i = 1, n_points_extra_radial_grid -1 !for each radial grid attached to the "jth" atom
contrib_integration = tmp * dble(i-1)**5 / dble(n_points_extra_radial_grid-i+1)**7
do k = 1, n_points_extra_integration_angular ! for each angular point attached to the "jth" atom
final_weight_at_r_extra(k,i,j) = weights_angular_points_extra(k) * weight_at_r_extra(k,i,j) * contrib_integration
if(isnan(final_weight_at_r_extra(k,i,j)))then
print*,'isnan(final_weight_at_r_extra(k,i,j))'
print*,k,i,j
write(*,'(100(F16.10,X))') weights_angular_points_extra(k), weight_at_r_extra(k,i,j), contrib_integration
stop
endif
enddo
enddo
enddo
else
print*, " extra_rad_grid_type = ", extra_rad_grid_type, ' is not implemented'
stop
endif
END_PROVIDER

49
src/becke_numerical_grid/extra_grid_vector.irp.f
View File

@ -1,42 +1,55 @@
! ---
BEGIN_PROVIDER [integer, n_points_extra_final_grid]
implicit none
BEGIN_DOC
! Number of points_extra which are non zero
END_DOC
integer :: i,j,k,l
implicit none
integer :: i, j, k, l
n_points_extra_final_grid = 0
do j = 1, nucl_num
do i = 1, n_points_extra_radial_grid -1
do k = 1, n_points_extra_integration_angular
if(dabs(final_weight_at_r_extra(k,i,j)) < thresh_extra_grid)then
if(dabs(final_weight_at_r_extra(k,i,j)) < thresh_extra_grid) then
cycle
endif
n_points_extra_final_grid += 1
enddo
enddo
enddo
print*,'n_points_extra_final_grid = ',n_points_extra_final_grid
print*,'n max point = ',n_points_extra_integration_angular*(n_points_extra_radial_grid*nucl_num - 1)
! call ezfio_set_becke_numerical_grid_n_points_extra_final_grid(n_points_extra_final_grid)
print*, ' n_points_extra_final_grid = ', n_points_extra_final_grid
print*, ' n max point = ', n_points_extra_integration_angular*(n_points_extra_radial_grid*nucl_num - 1)
call ezfio_set_becke_numerical_grid_n_points_extra_final_grid(n_points_extra_final_grid)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, final_grid_points_extra, (3,n_points_extra_final_grid)]
&BEGIN_PROVIDER [double precision, final_weight_at_r_vector_extra, (n_points_extra_final_grid) ]
&BEGIN_PROVIDER [integer, index_final_points_extra, (3,n_points_extra_final_grid) ]
&BEGIN_PROVIDER [integer, index_final_points_extra_reverse, (n_points_extra_integration_angular,n_points_extra_radial_grid,nucl_num) ]
implicit none
&BEGIN_PROVIDER [double precision, final_weight_at_r_vector_extra, (n_points_extra_final_grid)]
&BEGIN_PROVIDER [integer, index_final_points_extra, (3,n_points_extra_final_grid)]
&BEGIN_PROVIDER [integer, index_final_points_extra_reverse, (n_points_extra_integration_angular,n_points_extra_radial_grid,nucl_num)]
BEGIN_DOC
! final_grid_points_extra(1:3,j) = (/ x, y, z /) of the jth grid point
!
! final_weight_at_r_vector_extra(i) = Total weight function of the ith grid point which contains the Lebedev, Voronoi and radial weights contributions
!
! index_final_points_extra(1:3,i) = gives the angular, radial and atomic indices associated to the ith grid point
!
! index_final_points_extra_reverse(i,j,k) = index of the grid point having i as angular, j as radial and l as atomic indices
! final_grid_points_extra(1:3,j) = (/ x, y, z /) of the jth grid point
!
! final_weight_at_r_vector_extra(i) = Total weight function of the ith grid point which contains the Lebedev, Voronoi and radial weights contributions
!
! index_final_points_extra(1:3,i) = gives the angular, radial and atomic indices associated to the ith grid point
!
! index_final_points_extra_reverse(i,j,k) = index of the grid point having i as angular, j as radial and l as atomic indices
END_DOC
implicit none
integer :: i,j,k,l,i_count
double precision :: r(3)
i_count = 0
do j = 1, nucl_num
do i = 1, n_points_extra_radial_grid -1
@ -58,3 +71,5 @@ END_PROVIDER
enddo
END_PROVIDER

191
src/becke_numerical_grid/grid_becke.irp.f
View File

@ -1,6 +1,9 @@
! ---
BEGIN_PROVIDER [integer, n_points_radial_grid]
&BEGIN_PROVIDER [integer, n_points_integration_angular]
implicit none
BEGIN_DOC
! n_points_radial_grid = number of radial grid points per atom
!
@ -8,7 +11,10 @@
!
! These numbers are automatically set by setting the grid_type_sgn parameter
END_DOC
if(.not.my_grid_becke)then
implicit none
if(.not. my_grid_becke) then
select case (grid_type_sgn)
case(0)
n_points_radial_grid = 23
@ -26,78 +32,146 @@ if(.not.my_grid_becke)then
write(*,*) '!!! Quadrature grid not available !!!'
stop
end select
else
else
n_points_radial_grid = my_n_pt_r_grid
n_points_integration_angular = my_n_pt_a_grid
endif
endif
print*, " n_points_radial_grid = ", n_points_radial_grid
print*, " n_points_integration_angular = ", n_points_integration_angular
END_PROVIDER
! ---
BEGIN_PROVIDER [integer, n_points_grid_per_atom]
implicit none
BEGIN_DOC
! Number of grid points per atom
END_DOC
implicit none
n_points_grid_per_atom = n_points_integration_angular * n_points_radial_grid
END_PROVIDER
BEGIN_PROVIDER [integer , m_knowles]
implicit none
! ---
BEGIN_PROVIDER [integer, m_knowles]
BEGIN_DOC
! value of the "m" parameter in the equation (7) of the paper of Knowles (JCP, 104, 1996)
END_DOC
implicit none
m_knowles = 3
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, R_gill]
implicit none
R_gill = 3.d0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, grid_points_radial, (n_points_radial_grid)]
&BEGIN_PROVIDER [double precision, dr_radial_integral]
implicit none
BEGIN_DOC
! points in [0,1] to map the radial integral [0,\infty]
END_DOC
dr_radial_integral = 1.d0/dble(n_points_radial_grid-1)
implicit none
integer :: i
dr_radial_integral = 1.d0 / dble(n_points_radial_grid-1)
do i = 1, n_points_radial_grid
grid_points_radial(i) = dble(i-1) * dr_radial_integral
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, grid_points_per_atom, (3,n_points_integration_angular,n_points_radial_grid,nucl_num)]
BEGIN_DOC
! x,y,z coordinates of grid points used for integration in 3d space
END_DOC
implicit none
integer :: i,j,k
double precision :: dr,x_ref,y_ref,z_ref
double precision :: knowles_function
integer :: i, j, k
double precision :: dr, x_ref, y_ref, z_ref
double precision :: x, r, tmp
double precision, external :: knowles_function
grid_points_per_atom = 0.d0
PROVIDE rad_grid_type
if(rad_grid_type .eq. "KNOWLES") then
do i = 1, nucl_num
x_ref = nucl_coord(i,1)
y_ref = nucl_coord(i,2)
z_ref = nucl_coord(i,3)
do j = 1, n_points_radial_grid-1
double precision :: x,r
! x value for the mapping of the [0, +\infty] to [0,1]
x = grid_points_radial(j)
! value of the radial coordinate for the integration
r = knowles_function(alpha_knowles(grid_atomic_number(i)),m_knowles,x)
r = knowles_function(alpha_knowles(grid_atomic_number(i)), m_knowles, x)
! explicit values of the grid points centered around each atom
do k = 1, n_points_integration_angular
grid_points_per_atom(1,k,j,i) = &
x_ref + angular_quadrature_points(k,1) * r
grid_points_per_atom(2,k,j,i) = &
y_ref + angular_quadrature_points(k,2) * r
grid_points_per_atom(3,k,j,i) = &
z_ref + angular_quadrature_points(k,3) * r
grid_points_per_atom(1,k,j,i) = x_ref + angular_quadrature_points(k,1) * r
grid_points_per_atom(2,k,j,i) = y_ref + angular_quadrature_points(k,2) * r
grid_points_per_atom(3,k,j,i) = z_ref + angular_quadrature_points(k,3) * r
enddo
enddo
enddo
elseif(rad_grid_type .eq. "GILL") then
! GILL & CHIEN, 2002
do i = 1, nucl_num
x_ref = nucl_coord(i,1)
y_ref = nucl_coord(i,2)
z_ref = nucl_coord(i,3)
do j = 1, n_points_radial_grid-1
r = R_gill * dble(j-1)**2 / dble(n_points_radial_grid-j+1)**2
! explicit values of the grid points centered around each atom
do k = 1, n_points_integration_angular
grid_points_per_atom(1,k,j,i) = x_ref + angular_quadrature_points(k,1) * r
grid_points_per_atom(2,k,j,i) = y_ref + angular_quadrature_points(k,2) * r
grid_points_per_atom(3,k,j,i) = z_ref + angular_quadrature_points(k,3) * r
enddo
enddo
enddo
else
print*, " rad_grid_type = ", rad_grid_type, ' is not implemented'
stop
endif
END_PROVIDER
BEGIN_PROVIDER [double precision, weight_at_r, (n_points_integration_angular,n_points_radial_grid,nucl_num) ]
! ---
BEGIN_PROVIDER [double precision, weight_at_r, (n_points_integration_angular,n_points_radial_grid,nucl_num)]
BEGIN_DOC
! Weight function at grid points : w_n(r) according to the equation (22)
! of Becke original paper (JCP, 88, 1988)
@ -106,11 +180,13 @@ BEGIN_PROVIDER [double precision, weight_at_r, (n_points_integration_angular,n_p
! represented by the last dimension and the points are labelled by the
! other dimensions.
END_DOC
implicit none
integer :: i,j,k,l,m
double precision :: r(3)
double precision :: accu,cell_function_becke
integer :: i, j, k, l, m
double precision :: r(3), accu
double precision :: tmp_array(nucl_num)
double precision, external :: cell_function_becke
! run over all points in space
! that are referred to each atom
do j = 1, nucl_num
@ -121,17 +197,19 @@ BEGIN_PROVIDER [double precision, weight_at_r, (n_points_integration_angular,n_p
r(1) = grid_points_per_atom(1,l,k,j)
r(2) = grid_points_per_atom(2,l,k,j)
r(3) = grid_points_per_atom(3,l,k,j)
accu = 0.d0
! For each of these points in space, ou need to evaluate the P_n(r)
do i = 1, nucl_num
! function defined for each atom "i" by equation (13) and (21) with k == 3
tmp_array(i) = cell_function_becke(r,i) ! P_n(r)
tmp_array(i) = cell_function_becke(r, i) ! P_n(r)
! Then you compute the summ the P_n(r) function for each of the "r" points
accu += tmp_array(i)
enddo
accu = 1.d0/accu
weight_at_r(l,k,j) = tmp_array(j) * accu
if(isnan(weight_at_r(l,k,j)))then
if(isnan(weight_at_r(l,k,j))) then
print*,'isnan(weight_at_r(l,k,j))'
print*,l,k,j
accu = 0.d0
@ -151,35 +229,76 @@ BEGIN_PROVIDER [double precision, weight_at_r, (n_points_integration_angular,n_p
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, final_weight_at_r, (n_points_integration_angular,n_points_radial_grid,nucl_num)]
BEGIN_PROVIDER [double precision, final_weight_at_r, (n_points_integration_angular,n_points_radial_grid,nucl_num) ]
BEGIN_DOC
! Total weight on each grid point which takes into account all Lebedev, Voronoi and radial weights.
END_DOC
implicit none
integer :: i,j,k,l,m
integer :: i, j, k, l, m
double precision :: r(3)
double precision :: accu,cell_function_becke
double precision :: tmp_array(nucl_num)
double precision :: contrib_integration,x
double precision :: derivative_knowles_function,knowles_function
double precision :: contrib_integration, x, tmp
double precision, external :: derivative_knowles_function, knowles_function
final_weight_at_r = 0.d0
PROVIDE rad_grid_type
if(rad_grid_type .eq. "KNOWLES") then
! run over all points in space
do j = 1, nucl_num ! that are referred to each atom
do i = 1, n_points_radial_grid -1 !for each radial grid attached to the "jth" atom
x = grid_points_radial(i) ! x value for the mapping of the [0, +\infty] to [0,1]
do k = 1, n_points_integration_angular ! for each angular point attached to the "jth" atom
contrib_integration = derivative_knowles_function(alpha_knowles(grid_atomic_number(j)),m_knowles,x)&
*knowles_function(alpha_knowles(grid_atomic_number(j)),m_knowles,x)**2
contrib_integration = derivative_knowles_function(alpha_knowles(grid_atomic_number(j)), m_knowles, x) &
* knowles_function(alpha_knowles(grid_atomic_number(j)), m_knowles, x)**2
final_weight_at_r(k,i,j) = weights_angular_points(k) * weight_at_r(k,i,j) * contrib_integration * dr_radial_integral
if(isnan(final_weight_at_r(k,i,j)))then
if(isnan(final_weight_at_r(k,i,j))) then
print*,'isnan(final_weight_at_r(k,i,j))'
print*,k,i,j
write(*,'(100(F16.10,X))')weights_angular_points(k) , weight_at_r(k,i,j) , contrib_integration , dr_radial_integral
write(*,'(100(F16.10,X))') weights_angular_points(k), weight_at_r(k,i,j), contrib_integration
stop
endif
enddo
enddo
enddo
elseif(rad_grid_type .eq. "GILL") then
! GILL & CHIEN, 2002
tmp = 2.d0 * R_gill * R_gill * R_gill * dble(n_points_radial_grid)
! run over all points in space
do j = 1, nucl_num ! that are referred to each atom
do i = 1, n_points_radial_grid - 1 !for each radial grid attached to the "jth" atom
contrib_integration = tmp * dble(i-1)**5 / dble(n_points_radial_grid-i+1)**7
do k = 1, n_points_integration_angular ! for each angular point attached to the "jth" atom
final_weight_at_r(k,i,j) = weights_angular_points(k) * weight_at_r(k,i,j) * contrib_integration
if(isnan(final_weight_at_r(k,i,j))) then
print*,'isnan(final_weight_at_r(k,i,j))'
print*,k,i,j
write(*,'(100(F16.10,X))') weights_angular_points(k), weight_at_r(k,i,j), contrib_integration, dr_radial_integral
stop
endif
enddo
enddo
enddo
else
print*, " rad_grid_type = ", rad_grid_type, ' is not implemented'
stop
endif
END_PROVIDER

70
src/becke_numerical_grid/grid_becke_vector.irp.f
View File

@ -1,10 +1,13 @@
BEGIN_PROVIDER [integer, n_points_final_grid]
implicit none
BEGIN_DOC
! Number of points which are non zero
END_DOC
integer :: i,j,k,l
implicit none
integer :: i, j, k, l
n_points_final_grid = 0
do j = 1, nucl_num
do i = 1, n_points_radial_grid -1
@ -16,27 +19,38 @@ BEGIN_PROVIDER [integer, n_points_final_grid]
enddo
enddo
enddo
print*,'n_points_final_grid = ',n_points_final_grid
print*,'n max point = ',n_points_integration_angular*(n_points_radial_grid*nucl_num - 1)
print*,' n_points_final_grid = ', n_points_final_grid
print*,' n max point = ', n_points_integration_angular*(n_points_radial_grid*nucl_num - 1)
call ezfio_set_becke_numerical_grid_n_points_final_grid(n_points_final_grid)
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, final_grid_points, (3,n_points_final_grid)]
&BEGIN_PROVIDER [double precision, final_weight_at_r_vector, (n_points_final_grid) ]
&BEGIN_PROVIDER [integer, index_final_points, (3,n_points_final_grid) ]
&BEGIN_PROVIDER [integer, index_final_points_reverse, (n_points_integration_angular,n_points_radial_grid,nucl_num) ]
implicit none
&BEGIN_PROVIDER [double precision, final_weight_at_r_vector, (n_points_final_grid)]
&BEGIN_PROVIDER [integer, index_final_points, (3,n_points_final_grid)]
&BEGIN_PROVIDER [integer, index_final_points_reverse, (n_points_integration_angular,n_points_radial_grid,nucl_num)]
BEGIN_DOC
! final_grid_points(1:3,j) = (/ x, y, z /) of the jth grid point
!
! final_weight_at_r_vector(i) = Total weight function of the ith grid point which contains the Lebedev, Voronoi and radial weights contributions
!
! index_final_points(1:3,i) = gives the angular, radial and atomic indices associated to the ith grid point
!
! index_final_points_reverse(i,j,k) = index of the grid point having i as angular, j as radial and l as atomic indices
! final_grid_points(1:3,j) = (/ x, y, z /) of the jth grid point
!
! final_weight_at_r_vector(i) = Total weight function of the ith grid point which contains the Lebedev, Voronoi and radial weights contributions
!
! index_final_points(1:3,i) = gives the angular, radial and atomic indices associated to the ith grid point
!
! index_final_points_reverse(i,j,k) = index of the grid point having i as angular, j as radial and l as atomic indices
END_DOC
integer :: i,j,k,l,i_count
implicit none
integer :: i, j, k, l, i_count
double precision :: r(3)
double precision :: wall0, wall1
call wall_time(wall0)
print *, ' Providing final_grid_points ...'
i_count = 0
do j = 1, nucl_num
do i = 1, n_points_radial_grid -1
@ -57,18 +71,34 @@ END_PROVIDER
enddo
enddo
FREE grid_points_per_atom
FREE final_weight_at_r
call wall_time(wall1)
print *, ' wall time for final_grid_points,', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, final_grid_points_transp, (n_points_final_grid,3)]
implicit none
BEGIN_DOC
! Transposed final_grid_points
! Transposed final_grid_points
END_DOC
implicit none
integer :: i,j
do j=1,3
do i=1,n_points_final_grid
do j = 1, 3
do i = 1, n_points_final_grid
final_grid_points_transp(i,j) = final_grid_points(j,i)
enddo
enddo
END_PROVIDER
! ---

66
src/becke_numerical_grid/integration_radial.irp.f
View File

@ -1,34 +1,53 @@
double precision function knowles_function(alpha,m,x)
implicit none
BEGIN_DOC
! Function proposed by Knowles (JCP, 104, 1996) for distributing the radial points :
! the Log "m" function ( equation (7) in the paper )
END_DOC
double precision, intent(in) :: alpha,x
integer, intent(in) :: m
!print*, x
knowles_function = -alpha * dlog(1.d0-x**m)
end
double precision function derivative_knowles_function(alpha,m,x)
implicit none
! ---
double precision function knowles_function(alpha, m, x)
BEGIN_DOC
! Derivative of the function proposed by Knowles (JCP, 104, 1996) for distributing the radial points
! Function proposed by Knowles (JCP, 104, 1996) for distributing the radial points :
! the Log "m" function ( equation (7) in the paper )
END_DOC
double precision, intent(in) :: alpha,x
implicit none
double precision, intent(in) :: alpha, x
integer, intent(in) :: m
!print*, x
knowles_function = -alpha * dlog(1.d0-x**m)
return
end
! ---
double precision function derivative_knowles_function(alpha, m, x)
BEGIN_DOC
! Derivative of the function proposed by Knowles (JCP, 104, 1996) for distributing the radial points
END_DOC
implicit none
double precision, intent(in) :: alpha, x
integer, intent(in) :: m
double precision :: f
f = x**(m-1)
derivative_knowles_function = alpha * dble(m) * f / (1.d0 - x*f)
end
BEGIN_PROVIDER [double precision, alpha_knowles, (100)]
return
end
! ---
BEGIN_PROVIDER [double precision, alpha_knowles, (100)]
BEGIN_DOC
! Recommended values for the alpha parameters according to the paper of Knowles (JCP, 104, 1996)
! as a function of the nuclear charge
END_DOC
implicit none
integer :: i
BEGIN_DOC
! Recommended values for the alpha parameters according to the paper of Knowles (JCP, 104, 1996)
! as a function of the nuclear charge
END_DOC
! H-He
alpha_knowles(1) = 5.d0
@ -68,4 +87,7 @@
alpha_knowles(i) = 7.d0
enddo
END_PROVIDER
END_PROVIDER
! ---

33
src/becke_numerical_grid/step_function_becke.irp.f
View File

@ -20,31 +20,42 @@ double precision function f_function_becke(x)
f_function_becke = 1.5d0 * x - 0.5d0 * x*x*x
end
double precision function cell_function_becke(r,atom_number)
! ---
double precision function cell_function_becke(r, atom_number)
BEGIN_DOC
! atom_number :: atom on which the cell function of Becke (1988, JCP,88(4))
! r(1:3) :: x,y,z coordinantes of the current point
END_DOC
implicit none
double precision, intent(in) :: r(3)
integer, intent(in) :: atom_number
BEGIN_DOC
! atom_number :: atom on which the cell function of Becke (1988, JCP,88(4))
! r(1:3) :: x,y,z coordinantes of the current point
END_DOC
double precision :: mu_ij,nu_ij
double precision :: distance_i,distance_j,step_function_becke
integer :: j
double precision :: mu_ij, nu_ij
double precision :: distance_i, distance_j, step_function_becke
distance_i = (r(1) - nucl_coord_transp(1,atom_number) ) * (r(1) - nucl_coord_transp(1,atom_number))
distance_i += (r(2) - nucl_coord_transp(2,atom_number) ) * (r(2) - nucl_coord_transp(2,atom_number))
distance_i += (r(3) - nucl_coord_transp(3,atom_number) ) * (r(3) - nucl_coord_transp(3,atom_number))
distance_i = dsqrt(distance_i)
cell_function_becke = 1.d0
do j = 1, nucl_num
if(j==atom_number)cycle
if(j==atom_number) cycle
distance_j = (r(1) - nucl_coord_transp(1,j) ) * (r(1) - nucl_coord_transp(1,j))
distance_j+= (r(2) - nucl_coord_transp(2,j) ) * (r(2) - nucl_coord_transp(2,j))
distance_j+= (r(3) - nucl_coord_transp(3,j) ) * (r(3) - nucl_coord_transp(3,j))
distance_j += (r(2) - nucl_coord_transp(2,j) ) * (r(2) - nucl_coord_transp(2,j))
distance_j += (r(3) - nucl_coord_transp(3,j) ) * (r(3) - nucl_coord_transp(3,j))
distance_j = dsqrt(distance_j)
mu_ij = (distance_i - distance_j)*nucl_dist_inv(atom_number,j)
mu_ij = (distance_i - distance_j) * nucl_dist_inv(atom_number,j)
nu_ij = mu_ij + slater_bragg_type_inter_distance_ua(atom_number,j) * (1.d0 - mu_ij*mu_ij)
cell_function_becke *= step_function_becke(nu_ij)
enddo
return
end

441
src/bi_ort_ints/bi_ort_ints.irp.f
View File

@ -1,13 +1,37 @@
! ---
program bi_ort_ints
implicit none
BEGIN_DOC
! TODO : Put the documentation of the program here
! TODO : Put the documentation of the program here
END_DOC
implicit none
my_grid_becke = .True.
my_n_pt_r_grid = 10
my_n_pt_a_grid = 14
PROVIDE tc_grid1_a tc_grid1_r
my_n_pt_r_grid = tc_grid1_r
my_n_pt_a_grid = tc_grid1_a
touch my_grid_becke my_n_pt_r_grid my_n_pt_a_grid
call test_3e
! call test_3e
! call test_5idx
! call test_5idx2
call test_4idx()
!call test_4idx_n4()
!call test_4idx2()
!call test_5idx2
!call test_5idx
end
subroutine test_5idx2
PROVIDE three_e_5_idx_cycle_2_bi_ort
end
subroutine test_4idx2()
!PROVIDE three_e_4_idx_direct_bi_ort
PROVIDE three_e_4_idx_exch23_bi_ort
end
subroutine test_3e
@ -16,6 +40,7 @@ subroutine test_3e
double precision :: accu, contrib,new,ref
i = 1
k = 1
n = 0
accu = 0.d0
do i = 1, mo_num
do k = 1, mo_num
@ -31,6 +56,7 @@ subroutine test_3e
print*,'pb !!'
print*,i,k,j,l,m,n
print*,ref,new,contrib
stop
endif
enddo
enddo
@ -42,3 +68,408 @@ subroutine test_3e
end
subroutine test_5idx
implicit none
integer :: i,k,j,l,m,n,ipoint
double precision :: accu, contrib,new,ref
double precision, external :: three_e_5_idx_exch12_bi_ort
i = 1
k = 1
n = 0
accu = 0.d0
PROVIDE three_e_5_idx_direct_bi_ort_old
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
! if (dabs(three_e_5_idx_direct_bi_ort(m,l,j,k,i) - three_e_5_idx_exch12_bi_ort(m,l,i,k,j)) > 1.d-10) then
! stop
! endif
new = three_e_5_idx_direct_bi_ort(m,l,j,k,i)
ref = three_e_5_idx_direct_bi_ort_old(m,l,j,k,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. 1.d-10)then
print*,'direct'
print*,i,k,j,l,m
print*,ref,new,contrib
stop
endif
!
! new = three_e_5_idx_exch12_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_exch12_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'exch12'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
!
! new = three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_cycle_1_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'cycle1'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_cycle_2_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'cycle2'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_exch23_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_exch23_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'exch23'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_exch13_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_exch13_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'exch13'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_cycle_1_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'cycle1'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_cycle_2_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'cycle2'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_exch23_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_exch23_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'exch23'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
! new = three_e_5_idx_exch13_bi_ort(m,l,j,k,i)
! ref = three_e_5_idx_exch13_bi_ort_old(m,l,j,k,i)
! contrib = dabs(new - ref)
! accu += contrib
! if(contrib .gt. 1.d-10)then
! print*,'exch13'
! print*,i,k,j,l,m
! print*,ref,new,contrib
! stop
! endif
!
enddo
enddo
enddo
enddo
enddo
print*,'accu = ',accu/dble(mo_num)**5
end
! ---
subroutine test_4idx_n4()
implicit none
integer :: i, j, k, l
double precision :: accu, contrib, new, ref, thr
thr = 1d-10
PROVIDE three_e_4_idx_direct_bi_ort_old
PROVIDE three_e_4_idx_direct_bi_ort_n4
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_direct_bi_ort_n4 (l,k,j,i)
ref = three_e_4_idx_direct_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_direct_bi_ort_n4'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_direct_bi_ort_n4 = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_exch13_bi_ort_old
PROVIDE three_e_4_idx_exch13_bi_ort_n4
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_exch13_bi_ort_n4 (l,k,j,i)
ref = three_e_4_idx_exch13_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_exch13_bi_ort_n4'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_exch13_bi_ort_n4 = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_cycle_1_bi_ort_old
PROVIDE three_e_4_idx_cycle_1_bi_ort_n4
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_cycle_1_bi_ort_n4 (l,k,j,i)
ref = three_e_4_idx_cycle_1_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_cycle_1_bi_ort_n4'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_cycle_1_bi_ort_n4 = ', accu / dble(mo_num)**4
! ---
PROVIDE three_e_4_idx_exch23_bi_ort_old
PROVIDE three_e_4_idx_exch23_bi_ort_n4
accu = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_exch23_bi_ort_n4 (l,k,j,i)
ref = three_e_4_idx_exch23_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
accu += contrib
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_exch23_bi_ort_n4'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_exch23_bi_ort_n4 = ', accu / dble(mo_num)**4
! ---
return
end
! ---
subroutine test_4idx()
implicit none
integer :: i, j, k, l
double precision :: accu, contrib, new, ref, thr, norm
thr = 1d-10
PROVIDE three_e_4_idx_direct_bi_ort_old
PROVIDE three_e_4_idx_direct_bi_ort
accu = 0.d0
norm = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_direct_bi_ort (l,k,j,i)
ref = three_e_4_idx_direct_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_direct_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
accu += contrib
norm += dabs(ref)
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_direct_bi_ort (%) = ', 100.d0 * accu / norm
! ---
PROVIDE three_e_4_idx_exch13_bi_ort_old
PROVIDE three_e_4_idx_exch13_bi_ort
accu = 0.d0
norm = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_exch13_bi_ort (l,k,j,i)
ref = three_e_4_idx_exch13_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_exch13_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
accu += contrib
norm += dabs(ref)
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_exch13_bi_ort (%) = ', 100.d0 * accu / norm
! ---
PROVIDE three_e_4_idx_cycle_1_bi_ort_old
PROVIDE three_e_4_idx_cycle_1_bi_ort
accu = 0.d0
norm = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_cycle_1_bi_ort (l,k,j,i)
ref = three_e_4_idx_cycle_1_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_cycle_1_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
accu += contrib
norm += dabs(ref)
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_cycle_1_bi_ort (%) = ', 100.d0 * accu / norm
! ---
PROVIDE three_e_4_idx_exch23_bi_ort_old
PROVIDE three_e_4_idx_exch23_bi_ort
accu = 0.d0
norm = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do k = 1, mo_num
do l = 1, mo_num
new = three_e_4_idx_exch23_bi_ort (l,k,j,i)
ref = three_e_4_idx_exch23_bi_ort_old(l,k,j,i)
contrib = dabs(new - ref)
if(contrib .gt. thr) then
print*, ' problem in three_e_4_idx_exch23_bi_ort'
print*, l, k, j, i
print*, ref, new, contrib
stop
endif
accu += contrib
norm += dabs(ref)
enddo
enddo
enddo
enddo
print*, ' accu on three_e_4_idx_exch23_bi_ort (%) = ', 100.d0 * accu / norm
! ---
return
end

1610
src/bi_ort_ints/no_dressing.irp.f Normal file
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66
src/bi_ort_ints/no_dressing_energy.irp.f Normal file
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@ -0,0 +1,66 @@
! ---
BEGIN_PROVIDER [double precision, energy_1e_noL_HF]
implicit none
integer :: i
PROVIDE mo_bi_ortho_tc_one_e
energy_1e_noL_HF = 0.d0
do i = 1, elec_beta_num
energy_1e_noL_HF += mo_bi_ortho_tc_one_e(i,i)
enddo
do i = 1, elec_alpha_num
energy_1e_noL_HF += mo_bi_ortho_tc_one_e(i,i)
enddo
print*, "energy_1e_noL_HF = ", energy_1e_noL_HF
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, energy_2e_noL_HF]
implicit none
integer :: i, j
PROVIDE mo_bi_ortho_tc_two_e
energy_2e_noL_HF = 0.d0
! down-down & down-down
do i = 1, elec_beta_num
do j = 1, elec_beta_num
energy_2e_noL_HF += (mo_bi_ortho_tc_two_e(i,j,i,j) - mo_bi_ortho_tc_two_e(j,i,i,j))
enddo
enddo
! down-down & up-up
do i = 1, elec_beta_num
do j = 1, elec_alpha_num
energy_2e_noL_HF += mo_bi_ortho_tc_two_e(i,j,i,j)
enddo
enddo
! up-up & down-down
do i = 1, elec_alpha_num
do j = 1, elec_beta_num
energy_2e_noL_HF += mo_bi_ortho_tc_two_e(i,j,i,j)
enddo
enddo
! up-up & up-up
do i = 1, elec_alpha_num
do j = 1, elec_alpha_num
energy_2e_noL_HF += (mo_bi_ortho_tc_two_e(i,j,i,j) - mo_bi_ortho_tc_two_e(j,i,i,j))
enddo
enddo
! 0.5 x is in the Slater-Condon rules and not in the integrals
energy_2e_noL_HF = 0.5d0 * energy_2e_noL_HF
print*, "energy_2e_noL_HF = ", energy_2e_noL_HF
END_PROVIDER
! ---

512
src/bi_ort_ints/no_dressing_naive.irp.f Normal file
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@ -0,0 +1,512 @@
! ---
BEGIN_PROVIDER [double precision, noL_0e_naive]
implicit none
integer :: ii, jj, kk
integer :: i, j, k
double precision :: sigma_i, sigma_j, sigma_k
double precision :: I_ijk_ijk, I_ijk_kij, I_ijk_jki, I_ijk_jik, I_ijk_kji, I_ijk_ikj
double precision :: t0, t1
double precision, allocatable :: tmp(:)
print*, " Providing noL_0e_naive ..."
call wall_time(t0)
allocate(tmp(elec_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, kk, k, sigma_k, &
!$OMP I_ijk_ijk, I_ijk_kij, I_ijk_jki, I_ijk_jik, &
!$OMP I_ijk_kji, I_ijk_ikj) &
!$OMP SHARED (elec_beta_num, elec_num, tmp)
!$OMP DO
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
tmp(ii) = 0.d0
do jj = 1, elec_num
if(jj .le. elec_beta_num) then
j = jj
sigma_j = -1.d0
else
j = jj - elec_beta_num
sigma_j = +1.d0
endif
do kk = 1, elec_num
if(kk .le. elec_beta_num) then
k = kk
sigma_k = -1.d0
else
k = kk - elec_beta_num
sigma_k = +1.d0
endif
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
, i, sigma_i, j, sigma_j, k, sigma_k &
, I_ijk_ijk)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
, k, sigma_k, i, sigma_i, j, sigma_j &
, I_ijk_kij)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
, j, sigma_j, k, sigma_k, i, sigma_i &
, I_ijk_jki)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
, j, sigma_j, i, sigma_i, k, sigma_k &
, I_ijk_jik)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
, k, sigma_k, j, sigma_j, i, sigma_i &
, I_ijk_kji)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, j, sigma_j, k, sigma_k &
, i, sigma_i, k, sigma_k, j, sigma_j &
, I_ijk_ikj)
tmp(ii) = tmp(ii) + I_ijk_ijk + I_ijk_kij + I_ijk_jki - I_ijk_jik - I_ijk_kji - I_ijk_ikj
! = tmp(ii) + I_ijk_ijk + 2.d0 * I_ijk_kij - 3.d0 * I_ijk_jik
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
noL_0e_naive = -1.d0 * (sum(tmp)) / 6.d0
deallocate(tmp)
call wall_time(t1)
print*, " Wall time for noL_0e_naive (min) = ", (t1 - t0)/60.d0
print*, " noL_0e_naive = ", noL_0e_naive
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, noL_1e_naive, (mo_num, mo_num)]
BEGIN_DOC
!
! < p | H(1) | s > is dressed with noL_1e_naive(p,s)
!
END_DOC
implicit none
integer :: ii, jj
integer :: i, j, p, s
double precision :: sigma_i, sigma_j, sigma_p, sigma_s
double precision :: I_pij_sji, I_pij_sij, I_pij_jis, I_pij_ijs, I_pij_isj, I_pij_jsi
double precision :: t0, t1
print*, " Providing noL_1e_naive ..."
call wall_time(t0)
! ----
! up-up part
sigma_p = +1.d0
sigma_s = +1.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, &
!$OMP I_pij_sji, I_pij_sij, I_pij_jis, &
!$OMP I_pij_ijs, I_pij_isj, I_pij_jsi ) &
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
!$OMP sigma_p, sigma_s, noL_1e_naive)
!$OMP DO COLLAPSE (2)
do s = 1, mo_num
do p = 1, mo_num
noL_1e_naive(p,s) = 0.d0
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
do jj = 1, elec_num
if(jj .le. elec_beta_num) then
j = jj
sigma_j = -1.d0
else
j = jj - elec_beta_num
sigma_j = +1d0
endif
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, s, sigma_s, j, sigma_j, i, sigma_i &
, I_pij_sji)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, s, sigma_s, i, sigma_i, j, sigma_j &
, I_pij_sij)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, j, sigma_j, i, sigma_i, s, sigma_s &
, I_pij_jis)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, i, sigma_i, j, sigma_j, s, sigma_s &
, I_pij_ijs)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, i, sigma_i, s, sigma_s, j, sigma_j &
, I_pij_isj)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, j, sigma_j, s, sigma_s, i, sigma_i &
, I_pij_jsi)
! x 0.5 because we consider 0.5 (up + down)
noL_1e_naive(p,s) = noL_1e_naive(p,s) - 0.25d0 * (I_pij_sji - I_pij_sij + I_pij_jis - I_pij_ijs + I_pij_isj - I_pij_jsi)
enddo ! j
enddo ! i
enddo ! s
enddo ! p
!$OMP END DO
!$OMP END PARALLEL
! ----
! down-down part
sigma_p = -1.d0
sigma_s = -1.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, jj, j, sigma_j, &
!$OMP I_pij_sji, I_pij_sij, I_pij_jis, &
!$OMP I_pij_ijs, I_pij_isj, I_pij_jsi ) &
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
!$OMP sigma_p, sigma_s, noL_1e_naive)
!$OMP DO COLLAPSE (2)
do s = 1, mo_num
do p = 1, mo_num
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
do jj = 1, elec_num
if(jj .le. elec_beta_num) then
j = jj
sigma_j = -1.d0
else
j = jj - elec_beta_num
sigma_j = +1d0
endif
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, s, sigma_s, j, sigma_j, i, sigma_i &
, I_pij_sji)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, s, sigma_s, i, sigma_i, j, sigma_j &
, I_pij_sij)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, j, sigma_j, i, sigma_i, s, sigma_s &
, I_pij_jis)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, i, sigma_i, j, sigma_j, s, sigma_s &
, I_pij_ijs)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, i, sigma_i, s, sigma_s, j, sigma_j &
, I_pij_isj)
call give_integrals_3_body_bi_ort_spin( p, sigma_p, i, sigma_i, j, sigma_j &
, j, sigma_j, s, sigma_s, i, sigma_i &
, I_pij_jsi)
! x 0.5 because we consider 0.5 (up + down)
noL_1e_naive(p,s) = noL_1e_naive(p,s) - 0.25d0 * (I_pij_sji - I_pij_sij + I_pij_jis - I_pij_ijs + I_pij_isj - I_pij_jsi)
enddo ! j
enddo ! i
enddo ! s
enddo ! p
!$OMP END DO
!$OMP END PARALLEL
! ---
call wall_time(t1)
print*, " Wall time for noL_1e_naive (min) = ", (t1 - t0)/60.d0
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, noL_2e_naive, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! < p q | H(2) | s t > is dressed with noL_2e_naive(p,q,s,t)
!
END_DOC
implicit none
integer :: ii
integer :: i, p, q, s, t
double precision :: sigma_i, sigma_p, sigma_q, sigma_s, sigma_t
double precision :: I_ipq_ist, I_ipq_sit, I_ipq_tsi
double precision :: t0, t1
print*, " Providing noL_2e_naive ..."
call wall_time(t0)
! ----
! up-up & up-up part
sigma_p = +1.d0
sigma_s = +1.d0
sigma_q = +1.d0
sigma_t = +1.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
!$OMP noL_2e_naive)
!$OMP DO COLLAPSE (4)
do t = 1, mo_num
do s = 1, mo_num
do q = 1, mo_num
do p = 1, mo_num
noL_2e_naive(p,q,s,t) = 0.d0
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, i, sigma_i, s, sigma_s, t, sigma_t &
, I_ipq_ist)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, s, sigma_s, i, sigma_i, t, sigma_t &
, I_ipq_sit)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, t, sigma_t, s, sigma_s, i, sigma_i &
, I_ipq_tsi)
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
enddo ! i
enddo ! p
enddo ! q
enddo ! s
enddo ! t
!$OMP END DO
!$OMP END PARALLEL
! ----
! up-up & down-down part
sigma_p = +1.d0
sigma_s = +1.d0
sigma_q = -1.d0
sigma_t = -1.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
!$OMP noL_2e_naive)
!$OMP DO COLLAPSE (4)
do t = 1, mo_num
do s = 1, mo_num
do q = 1, mo_num
do p = 1, mo_num
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, i, sigma_i, s, sigma_s, t, sigma_t &
, I_ipq_ist)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, s, sigma_s, i, sigma_i, t, sigma_t &
, I_ipq_sit)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, t, sigma_t, s, sigma_s, i, sigma_i &
, I_ipq_tsi)
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
enddo ! i
enddo ! p
enddo ! q
enddo ! s
enddo ! t
!$OMP END DO
!$OMP END PARALLEL
! ----
! down-down & up-up part
sigma_p = -1.d0
sigma_s = -1.d0
sigma_q = +1.d0
sigma_t = +1.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
!$OMP noL_2e_naive)
!$OMP DO COLLAPSE (4)
do t = 1, mo_num
do s = 1, mo_num
do q = 1, mo_num
do p = 1, mo_num
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, i, sigma_i, s, sigma_s, t, sigma_t &
, I_ipq_ist)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, s, sigma_s, i, sigma_i, t, sigma_t &
, I_ipq_sit)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, t, sigma_t, s, sigma_s, i, sigma_i &
, I_ipq_tsi)
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
enddo ! i
enddo ! p
enddo ! q
enddo ! s
enddo ! t
!$OMP END DO
!$OMP END PARALLEL
! ----
! down-down & down-down part
sigma_p = -1.d0
sigma_s = -1.d0
sigma_q = -1.d0
sigma_t = -1.d0
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ii, i, sigma_i, p, q, s, t, &
!$OMP I_ipq_ist, I_ipq_sit, I_ipq_tsi) &
!$OMP SHARED (mo_num, elec_beta_num, elec_num, &
!$OMP sigma_p, sigma_q, sigma_s, sigma_t, &
!$OMP noL_2e_naive)
!$OMP DO COLLAPSE (4)
do t = 1, mo_num
do s = 1, mo_num
do q = 1, mo_num
do p = 1, mo_num
do ii = 1, elec_num
if(ii .le. elec_beta_num) then
i = ii
sigma_i = -1.d0
else
i = ii - elec_beta_num
sigma_i = +1.d0
endif
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, i, sigma_i, s, sigma_s, t, sigma_t &
, I_ipq_ist)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, s, sigma_s, i, sigma_i, t, sigma_t &
, I_ipq_sit)
call give_integrals_3_body_bi_ort_spin( i, sigma_i, p, sigma_p, q, sigma_q &
, t, sigma_t, s, sigma_s, i, sigma_i &
, I_ipq_tsi)
! x 0.25 because we consider 0.25 (up-up + up-down + down-up + down-down)
noL_2e_naive(p,q,s,t) = noL_2e_naive(p,q,s,t) - 0.125d0 * (I_ipq_ist - I_ipq_sit - I_ipq_tsi)
enddo ! i
enddo ! p
enddo ! q
enddo ! s
enddo ! t
!$OMP END DO
!$OMP END PARALLEL
call wall_time(t1)
print*, " Wall time for noL_2e_naive (min) = ", (t1 - t0)/60.d0
END_PROVIDER
! ---

32
src/bi_ort_ints/one_e_bi_ort.irp.f
View File

@ -8,25 +8,28 @@ BEGIN_PROVIDER [double precision, ao_one_e_integrals_tc_tot, (ao_num,ao_num)]
ao_one_e_integrals_tc_tot = ao_one_e_integrals
provide j1b_type
!provide j1b_type
if( (j1b_type .eq. 1) .or. (j1b_type .eq. 2) ) then
!if( (j1b_type .eq. 1) .or. (j1b_type .eq. 2) ) then
!
! print *, ' do things properly !'
! stop
do i = 1, ao_num
do j = 1, ao_num
ao_one_e_integrals_tc_tot(j,i) += ( j1b_gauss_hermI (j,i) &
+ j1b_gauss_hermII (j,i) &
+ j1b_gauss_nonherm(j,i) )
enddo
enddo
! !do i = 1, ao_num
! ! do j = 1, ao_num
! ! ao_one_e_integrals_tc_tot(j,i) += ( j1b_gauss_hermI (j,i) &
! ! + j1b_gauss_hermII (j,i) &
! ! + j1b_gauss_nonherm(j,i) )
! ! enddo
! !enddo
endif
!endif
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_one_e, (mo_num, mo_num)]
BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_one_e, (mo_num, mo_num)]
BEGIN_DOC
!
@ -38,6 +41,11 @@ BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_one_e, (mo_num, mo_num)]
call ao_to_mo_bi_ortho(ao_one_e_integrals_tc_tot, ao_num, mo_bi_ortho_tc_one_e, mo_num)
if(noL_standard) then
PROVIDE noL_1e
mo_bi_ortho_tc_one_e = mo_bi_ortho_tc_one_e + noL_1e
endif
END_PROVIDER
! ---
@ -45,11 +53,13 @@ END_PROVIDER
BEGIN_PROVIDER [double precision, mo_bi_orth_bipole_x , (mo_num,mo_num)]
&BEGIN_PROVIDER [double precision, mo_bi_orth_bipole_y , (mo_num,mo_num)]
&BEGIN_PROVIDER [double precision, mo_bi_orth_bipole_z , (mo_num,mo_num)]
BEGIN_DOC
! array of the integrals of Left MO_i * x Right MO_j
! array of the integrals of Left MO_i * y Right MO_j
! array of the integrals of Left MO_i * z Right MO_j
END_DOC
implicit none
call ao_to_mo_bi_ortho( &

46
src/bi_ort_ints/semi_num_ints_mo.irp.f
View File

@ -54,7 +54,7 @@ BEGIN_PROVIDER [ double precision, mo_v_ki_bi_ortho_erf_rk_cst_mu_transp, (n_poi
enddo
enddo
! FREE mo_v_ki_bi_ortho_erf_rk_cst_mu
!FREE mo_v_ki_bi_ortho_erf_rk_cst_mu
END_PROVIDER
@ -110,7 +110,10 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3,
print *, ' providing int2_grad1_u12_ao_transp ...'
call wall_time(wall0)
if(test_cycle_tc)then
if(test_cycle_tc) then
PROVIDE int2_grad1_u12_ao_test
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num
@ -120,7 +123,13 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3,
enddo
enddo
enddo
FREE int2_grad1_u12_ao_test
else
PROVIDE int2_grad1_u12_ao
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num
@ -130,9 +139,12 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_transp, (ao_num, ao_num, 3,
enddo
enddo
enddo
endif
call wall_time(wall1)
print *, ' wall time for int2_grad1_u12_ao_transp ', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -144,9 +156,12 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_transp, (mo_num, mo_num,
integer :: ipoint
double precision :: wall0, wall1
!print *, ' providing int2_grad1_u12_bimo_transp'
PROVIDE mo_l_coef mo_r_coef
PROVIDE int2_grad1_u12_ao_transp
!print *, ' providing int2_grad1_u12_bimo_transp'
!call wall_time(wall0)
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (ipoint) &
@ -163,16 +178,26 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_transp, (mo_num, mo_num,
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
!call wall_time(wall1)
!print *, ' Wall time for providing int2_grad1_u12_bimo_transp',wall1 - wall0
!call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_t, (n_points_final_grid,3, mo_num, mo_num )]
BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_t, (n_points_final_grid, 3, mo_num, mo_num)]
implicit none
integer :: i, j, ipoint
double precision :: wall0, wall1
!call wall_time(wall0)
!print *, ' Providing int2_grad1_u12_bimo_t ...'
PROVIDE mo_l_coef mo_r_coef
PROVIDE int2_grad1_u12_bimo_transp
do ipoint = 1, n_points_final_grid
do i = 1, mo_num
do j = 1, mo_num
@ -182,6 +207,13 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_bimo_t, (n_points_final_grid,3
enddo
enddo
enddo
FREE int2_grad1_u12_bimo_transp
!call wall_time(wall1)
!print *, ' wall time for int2_grad1_u12_bimo_t,', wall1 - wall0
!call print_memory_usage()
END_PROVIDER
! ---
@ -191,6 +223,8 @@ BEGIN_PROVIDER [ double precision, int2_grad1_u12_ao_t, (n_points_final_grid, 3,
implicit none
integer :: i, j, ipoint
PROVIDE int2_grad1_u12_ao
do ipoint = 1, n_points_final_grid
do i = 1, ao_num
do j = 1, ao_num

26
src/bi_ort_ints/three_body_ijm.irp.f
View File

@ -17,11 +17,14 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
three_e_3_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_direct_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
@ -49,6 +52,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_direct_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_direct_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -76,6 +80,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
@ -102,6 +107,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_1_bi_ort, (mo_num, mo_num
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_cycle_1_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -123,12 +129,15 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_cycle_2_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_cycle_2_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
@ -155,6 +164,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_cycle_2_bi_ort, (mo_num, mo_num
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_cycle_2_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -176,12 +186,15 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num,
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_exch23_bi_ort = 0.d0
print*,'Providing the three_e_3_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
@ -208,6 +221,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch23_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch23_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -229,12 +243,15 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num,
integer :: i,j,m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_exch13_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
@ -261,6 +278,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch13_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch13_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -282,12 +300,15 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num,
integer :: i, j, m
double precision :: integral, wall1, wall0
PROVIDE mo_l_coef mo_r_coef
three_e_3_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_3_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
@ -306,6 +327,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort, (mo_num, mo_num,
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch12_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
@ -333,6 +355,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
call give_integrals_3_body_bi_ort(1, 1, 1, 1, 1, 1, integral)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,m,integral) &
@ -359,6 +382,7 @@ BEGIN_PROVIDER [ double precision, three_e_3_idx_exch12_bi_ort_new, (mo_num, mo_
call wall_time(wall1)
print *, ' wall time for three_e_3_idx_exch12_bi_ort_new', wall1 - wall0
call print_memory_usage()
END_PROVIDER

453
src/bi_ort_ints/three_body_ijmk.irp.f
View File

@ -1,282 +1,229 @@
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_direct_bi_ort(m,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_direct_bi_ort (m,j,k,i) = < m j k | -L | m j i > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_exch13_bi_ort (m,j,k,i) = < m j k | -L | i j m > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_exch23_bi_ort (m,j,k,i) = < m j k | -L | j m i > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = < m j k | -L | j i m > ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
! notice the -1 sign: in this way three_e_4_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
! three_e_4_idx_direct_bi_ort (m,j,k,i) : Lk Ri Imm Ijj + Lj Rj Imm Iki + Lm Rm Ijj Iki
! three_e_4_idx_exch13_bi_ort (m,j,k,i) : Lk Rm Imi Ijj + Lj Rj Imi Ikm + Lm Ri Ijj Ikm
! three_e_4_idx_exch23_bi_ort (m,j,k,i) : Lk Ri Imj Ijm + Lj Rm Imj Iki + Lm Rj Ijm Iki
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) : Lk Rm Imj Iji + Lj Ri Imj Ikm + Lm Rj Iji Ikm
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
integer :: ipoint, i, j, k, m, n
double precision :: wall1, wall0
double precision :: tmp_loc_1, tmp_loc_2
double precision, allocatable :: tmp1(:,:,:), tmp2(:,:,:)
double precision, allocatable :: tmp_2d(:,:)
double precision, allocatable :: tmp_aux_1(:,:,:), tmp_aux_2(:,:)
three_e_4_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_direct_bi_ort ...'
print *, ' Providing the three_e_4_idx_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
! to reduce the number of operations
allocate(tmp_aux_1(n_points_final_grid,4,mo_num))
allocate(tmp_aux_2(n_points_final_grid,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, j, i, integral)
three_e_4_idx_direct_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
!$OMP PRIVATE (n, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp_aux_1, tmp_aux_2)
!$OMP DO
do n = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_aux_1(ipoint,1,n) = int2_grad1_u12_bimo_t(ipoint,1,n,n) * final_weight_at_r_vector(ipoint)
tmp_aux_1(ipoint,2,n) = int2_grad1_u12_bimo_t(ipoint,2,n,n) * final_weight_at_r_vector(ipoint)
tmp_aux_1(ipoint,3,n) = int2_grad1_u12_bimo_t(ipoint,3,n,n) * final_weight_at_r_vector(ipoint)
tmp_aux_1(ipoint,4,n) = mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,n) * final_weight_at_r_vector(ipoint)
tmp_aux_2(ipoint,n) = mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,n)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
! loops approach to break the O(N^4) scaling in memory
call set_multiple_levels_omp(.false.)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (k, i, j, m, n, ipoint, tmp_loc_1, tmp_loc_2, tmp_2d, tmp1, tmp2) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp_aux_1, tmp_aux_2, &
!$OMP three_e_4_idx_direct_bi_ort, three_e_4_idx_exch13_bi_ort, &
!$OMP three_e_4_idx_exch23_bi_ort, three_e_4_idx_cycle_1_bi_ort)
allocate(tmp_2d(mo_num,mo_num))
allocate(tmp1(n_points_final_grid,4,mo_num))
allocate(tmp2(n_points_final_grid,4,mo_num))
!$OMP DO
do k = 1, mo_num
! ---
do i = 1, mo_num
! ---
do n = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_loc_1 = mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i)
tmp_loc_2 = tmp_aux_2(ipoint,n)
tmp1(ipoint,1,n) = int2_grad1_u12_bimo_t(ipoint,1,n,n) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,1,k,i) * tmp_loc_2
tmp1(ipoint,2,n) = int2_grad1_u12_bimo_t(ipoint,2,n,n) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,2,k,i) * tmp_loc_2
tmp1(ipoint,3,n) = int2_grad1_u12_bimo_t(ipoint,3,n,n) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,3,k,i) * tmp_loc_2
tmp1(ipoint,4,n) = int2_grad1_u12_bimo_t(ipoint,1,n,n) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,n) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,n) * int2_grad1_u12_bimo_t(ipoint,3,k,i)
enddo
enddo
call dgemm( 'T', 'N', mo_num, mo_num, 4*n_points_final_grid, 1.d0 &
, tmp_aux_1(1,1,1), 4*n_points_final_grid, tmp1(1,1,1), 4*n_points_final_grid &
, 0.d0, tmp_2d(1,1), mo_num)
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_direct_bi_ort(m,j,k,i) = -tmp_2d(m,j)
enddo
enddo
! ---
do n = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_loc_1 = mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,n)
tmp_loc_2 = mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,i)
tmp1(ipoint,1,n) = int2_grad1_u12_bimo_t(ipoint,1,n,i) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,1,k,n) * tmp_loc_2
tmp1(ipoint,2,n) = int2_grad1_u12_bimo_t(ipoint,2,n,i) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,2,k,n) * tmp_loc_2
tmp1(ipoint,3,n) = int2_grad1_u12_bimo_t(ipoint,3,n,i) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,3,k,n) * tmp_loc_2
tmp1(ipoint,4,n) = int2_grad1_u12_bimo_t(ipoint,1,n,i) * int2_grad1_u12_bimo_t(ipoint,1,k,n) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,i) * int2_grad1_u12_bimo_t(ipoint,2,k,n) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,i) * int2_grad1_u12_bimo_t(ipoint,3,k,n)
tmp2(ipoint,1,n) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,i,n)
tmp2(ipoint,2,n) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,i,n)
tmp2(ipoint,3,n) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,i,n)
tmp2(ipoint,4,n) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,n)
enddo
enddo
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 4*n_points_final_grid, 1.d0 &
, tmp1(1,1,1), 4*n_points_final_grid, tmp_aux_1(1,1,1), 4*n_points_final_grid &
, 0.d0, tmp_2d(1,1), mo_num)
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -tmp_2d(m,j)
enddo
enddo
! ---
call dgemm( 'T', 'N', mo_num, mo_num, 4*n_points_final_grid, 1.d0 &
, tmp1(1,1,1), 4*n_points_final_grid, tmp2(1,1,1), 4*n_points_final_grid &
, 0.d0, tmp_2d(1,1), mo_num)
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_cycle_1_bi_ort(m,i,k,j) = -tmp_2d(m,j)
enddo
enddo
! ---
enddo ! i
! ---
do j = 1, mo_num
do n = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp_loc_1 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j) * mos_r_in_r_array_transp(ipoint,n)
tmp_loc_2 = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,j)
tmp1(ipoint,1,n) = int2_grad1_u12_bimo_t(ipoint,1,n,j) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,1,j,n) * tmp_loc_2
tmp1(ipoint,2,n) = int2_grad1_u12_bimo_t(ipoint,2,n,j) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,2,j,n) * tmp_loc_2
tmp1(ipoint,3,n) = int2_grad1_u12_bimo_t(ipoint,3,n,j) * tmp_loc_1 + int2_grad1_u12_bimo_t(ipoint,3,j,n) * tmp_loc_2
tmp1(ipoint,4,n) = int2_grad1_u12_bimo_t(ipoint,1,n,j) * int2_grad1_u12_bimo_t(ipoint,1,j,n) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,j) * int2_grad1_u12_bimo_t(ipoint,2,j,n) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,j) * int2_grad1_u12_bimo_t(ipoint,3,j,n)
tmp2(ipoint,1,n) = int2_grad1_u12_bimo_t(ipoint,1,k,n)
tmp2(ipoint,2,n) = int2_grad1_u12_bimo_t(ipoint,2,k,n)
tmp2(ipoint,3,n) = int2_grad1_u12_bimo_t(ipoint,3,k,n)
tmp2(ipoint,4,n) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,n)
enddo
enddo
call dgemm( 'T', 'N', mo_num, mo_num, 4*n_points_final_grid, 1.d0 &
, tmp1(1,1,1), 4*n_points_final_grid, tmp2(1,1,1), 4*n_points_final_grid &
, 0.d0, tmp_2d(1,1), mo_num)
do i = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch23_bi_ort(m,j,k,i) = -tmp_2d(m,i)
enddo
enddo
enddo ! j
! ---
enddo !k
!$OMP END DO
deallocate(tmp_2d)
deallocate(tmp1)
deallocate(tmp2)
!$OMP END PARALLEL
deallocate(tmp_aux_1)
deallocate(tmp_aux_2)
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_1_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, j, i, m, integral)
three_e_4_idx_cycle_1_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_1_bi_ort', wall1 - wall0
END_PROVIDER
! --
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = <mjk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_2_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_cycle_2_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_2_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, m, j, integral)
three_e_4_idx_cycle_2_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_2_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch23_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch23_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, j, m, i, integral)
three_e_4_idx_exch23_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch23_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch13_bi_ort(m,j,k,i) = <mjk|-L|ijm> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch13_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch13_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, j, m, integral)
three_e_4_idx_exch13_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch13_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch12_bi_ort(m,j,k,i) = <mjk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_4_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch12_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, i, j, integral)
three_e_4_idx_exch12_bi_ort(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch12_bi_ort', wall1 - wall0
print *, ' wall time for three_e_4_idx_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER

486
src/bi_ort_ints/three_body_ijmk_n4.irp.f Normal file
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@ -0,0 +1,486 @@
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort_n4 , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort_n4 , (mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort_n4, (mo_num, mo_num, mo_num, mo_num)]
!&BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort_n4, (mo_num, mo_num, mo_num, mo_num)]
!&BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort_n4, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_direct_bi_ort_n4 (m,j,k,i) = < m j k | -L | m j i > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_exch13_bi_ort_n4 (m,j,k,i) = < m j k | -L | i j m > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_exch12_bi_ort_n4 (m,j,k,i) = < m j k | -L | m i j > ::: notice that i is the RIGHT MO and k is the LEFT MO
! = three_e_4_idx_exch13_bi_ort_n4 (j,m,k,i)
! three_e_4_idx_cycle_1_bi_ort_n4(m,j,k,i) = < m j k | -L | j i m > ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_4_idx_cycle_2_bi_ort_n4(m,j,k,i) = < m j k | -L | i m j > ::: notice that i is the RIGHT MO and k is the LEFT MO
! = three_e_4_idx_cycle_1_bi_ort_n4(j,m,k,i)
!
! notice the -1 sign: in this way three_e_4_idx_direct_bi_ort_n4 can be directly used to compute Slater rules with a + sign
!
! three_e_4_idx_direct_bi_ort_n4 (m,j,k,i) : Lk Ri Imm Ijj + Lj Rj Imm Iki + Lm Rm Ijj Iki
! three_e_4_idx_exch13_bi_ort_n4 (m,j,k,i) : Lk Rm Imi Ijj + Lj Rj Imi Ikm + Lm Ri Ijj Ikm
! three_e_4_idx_cycle_1_bi_ort_n4(m,j,k,i) : Lk Rm Imj Iji + Lj Ri Imj Ikm + Lm Rj Iji Ikm
!
END_DOC
implicit none
integer :: ipoint, i, j, k, l, m
double precision :: wall1, wall0
double precision, allocatable :: tmp1(:,:,:,:), tmp2(:,:,:,:), tmp3(:,:,:,:)
double precision, allocatable :: tmp_4d(:,:,:,:)
double precision, allocatable :: tmp4(:,:,:)
double precision, allocatable :: tmp5(:,:)
double precision, allocatable :: tmp_3d(:,:,:)
print *, ' Providing the O(N^4) three_e_4_idx_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
allocate(tmp_4d(mo_num,mo_num,mo_num,mo_num))
allocate(tmp1(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp2(n_points_final_grid,3,mo_num,mo_num))
allocate(tmp3(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1, tmp2, tmp3)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_l_in_r_array_transp(ipoint,i) * final_weight_at_r_vector(ipoint)
tmp2(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp2(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp2(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_r_in_r_array_transp(ipoint,i)
tmp3(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp3(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,l,i) * mos_r_in_r_array_transp(ipoint,l)
tmp3(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,l,i) * mos_r_in_r_array_transp(ipoint,l)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1(1,1,1,1), 3*n_points_final_grid, tmp2(1,1,1,1), 3*n_points_final_grid &
, 0.d0, tmp_4d(1,1,1,1), mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_direct_bi_ort_n4(m,j,k,i) = -tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp3(1,1,1,1), 3*n_points_final_grid, tmp1(1,1,1,1), 3*n_points_final_grid &
, 0.d0, tmp_4d(1,1,1,1), mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort_n4(m,j,k,i) = -tmp_4d(m,i,j,k)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = int2_grad1_u12_bimo_t(ipoint,1,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,2,l,i) = int2_grad1_u12_bimo_t(ipoint,2,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
tmp1(ipoint,3,l,i) = int2_grad1_u12_bimo_t(ipoint,3,i,l) * mos_l_in_r_array_transp(ipoint,l) * final_weight_at_r_vector(ipoint)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1(1,1,1,1), 3*n_points_final_grid, tmp2(1,1,1,1), 3*n_points_final_grid &
, 0.d0, tmp_4d(1,1,1,1), mo_num*mo_num)
deallocate(tmp2)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch13_bi_ort_n4(m,j,k,i) = three_e_4_idx_exch13_bi_ort_n4(m,j,k,i) - tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1(1,1,1,1), 3*n_points_final_grid, tmp3(1,1,1,1), 3*n_points_final_grid &
, 0.d0, tmp_4d(1,1,1,1), mo_num*mo_num)
deallocate(tmp3)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_cycle_1_bi_ort_n4(m,j,k,i) = -tmp_4d(m,k,j,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,l,l) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
tmp1(ipoint,2,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,l,l) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
tmp1(ipoint,3,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,l,l) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1(1,1,1,1), 3*n_points_final_grid, int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid &
, 0.d0, tmp_4d(1,1,1,1), mo_num*mo_num)
deallocate(tmp1)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_direct_bi_ort_n4(m,j,k,i) = three_e_4_idx_direct_bi_ort_n4(m,j,k,i) - tmp_4d(m,j,k,i) - tmp_4d(j,m,k,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
deallocate(tmp_4d)
allocate(tmp_3d(mo_num,mo_num,mo_num))
allocate(tmp5(n_points_final_grid,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP final_weight_at_r_vector, &
!$OMP tmp5)
!$OMP DO
do i = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,i) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
allocate(tmp4(n_points_final_grid,mo_num,mo_num))
do m = 1, mo_num
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, k, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, m, &
!$OMP int2_grad1_u12_bimo_t, &
!$OMP tmp4)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp4(ipoint,k,i) = int2_grad1_u12_bimo_t(ipoint,1,k,m) * int2_grad1_u12_bimo_t(ipoint,1,m,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,k,m) * int2_grad1_u12_bimo_t(ipoint,2,m,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,k,m) * int2_grad1_u12_bimo_t(ipoint,3,m,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num, mo_num*mo_num, n_points_final_grid, 1.d0 &
, tmp5(1,1), n_points_final_grid, tmp4(1,1,1), n_points_final_grid &
, 0.d0, tmp_3d(1,1,1), mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
three_e_4_idx_exch13_bi_ort_n4(m,j,k,i) = three_e_4_idx_exch13_bi_ort_n4(m,j,k,i) - tmp_3d(j,k,i)
enddo
enddo
enddo
!$OMP END PARALLEL DO
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (j, k, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, m, &
!$OMP mos_l_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp4)
!$OMP DO COLLAPSE(2)
do k = 1, mo_num
do j = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp4(ipoint,j,k) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_t(ipoint,1,m,j) * int2_grad1_u12_bimo_t(ipoint,1,k,m) &
+ int2_grad1_u12_bimo_t(ipoint,2,m,j) * int2_grad1_u12_bimo_t(ipoint,2,k,m) &
+ int2_grad1_u12_bimo_t(ipoint,3,m,j) * int2_grad1_u12_bimo_t(ipoint,3,k,m) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num, n_points_final_grid, 1.d0 &
, tmp4(1,1,1), n_points_final_grid, mos_r_in_r_array_transp(1,1), n_points_final_grid &
, 0.d0, tmp_3d(1,1,1), mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(i,j,k)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
three_e_4_idx_cycle_1_bi_ort_n4(m,j,k,i) = three_e_4_idx_cycle_1_bi_ort_n4(m,j,k,i) - tmp_3d(j,k,i)
enddo
enddo
enddo
!$OMP END PARALLEL DO
enddo
deallocate(tmp5)
deallocate(tmp_3d)
do i = 1, mo_num
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (m, j, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, i, &
!$OMP mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp4)
!$OMP DO COLLAPSE(2)
do j = 1, mo_num
do m = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp4(ipoint,m,j) = final_weight_at_r_vector(ipoint) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_t(ipoint,1,m,j) * int2_grad1_u12_bimo_t(ipoint,1,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,m,j) * int2_grad1_u12_bimo_t(ipoint,2,j,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,m,j) * int2_grad1_u12_bimo_t(ipoint,3,j,i) )
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num, n_points_final_grid, -1.d0 &
, tmp4(1,1,1), n_points_final_grid, mos_l_in_r_array_transp(1,1), n_points_final_grid &
, 1.d0, three_e_4_idx_cycle_1_bi_ort_n4(1,1,1,i), mo_num*mo_num)
enddo
deallocate(tmp4)
! !$OMP PARALLEL DO PRIVATE(i,j,k,m)
! do i = 1, mo_num
! do k = 1, mo_num
! do j = 1, mo_num
! do m = 1, mo_num
! three_e_4_idx_exch12_bi_ort_n4 (m,j,k,i) = three_e_4_idx_exch13_bi_ort_n4 (j,m,k,i)
! three_e_4_idx_cycle_2_bi_ort_n4(m,j,k,i) = three_e_4_idx_cycle_1_bi_ort_n4(j,m,k,i)
! enddo
! enddo
! enddo
! enddo
! !$OMP END PARALLEL DO
call wall_time(wall1)
print *, ' wall time for O(N^4) three_e_4_idx_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort_n4 , (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort_n4 (m,j,k,i) = < m j k | -L | j m i > ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_4_idx_direct_bi_ort_n4 can be directly used to compute Slater rules with a + sign
!
! three_e_4_idx_exch23_bi_ort_n4 (m,j,k,i) : Lk Ri Imj Ijm + Lj Rm Imj Iki + Lm Rj Ijm Iki
!
END_DOC
implicit none
integer :: i, j, k, l, m, ipoint
double precision :: wall1, wall0
double precision, allocatable :: tmp1(:,:,:,:), tmp_4d(:,:,:,:)
double precision, allocatable :: tmp5(:,:,:), tmp6(:,:,:)
print *, ' Providing the O(N^4) three_e_4_idx_exch23_bi_ort_n4 ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
allocate(tmp5(n_points_final_grid,mo_num,mo_num))
allocate(tmp6(n_points_final_grid,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp5, tmp6)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp5(ipoint,l,i) = int2_grad1_u12_bimo_t(ipoint,1,l,i) * int2_grad1_u12_bimo_t(ipoint,1,i,l) &
+ int2_grad1_u12_bimo_t(ipoint,2,l,i) * int2_grad1_u12_bimo_t(ipoint,2,i,l) &
+ int2_grad1_u12_bimo_t(ipoint,3,l,i) * int2_grad1_u12_bimo_t(ipoint,3,i,l)
tmp6(ipoint,l,i) = final_weight_at_r_vector(ipoint) * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, n_points_final_grid, -1.d0 &
, tmp5(1,1,1), n_points_final_grid, tmp6(1,1,1), n_points_final_grid &
, 0.d0, three_e_4_idx_exch23_bi_ort_n4(1,1,1,1), mo_num*mo_num)
deallocate(tmp5)
deallocate(tmp6)
allocate(tmp_4d(mo_num,mo_num,mo_num,mo_num))
allocate(tmp1(n_points_final_grid,3,mo_num,mo_num))
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i, l, ipoint) &
!$OMP SHARED (mo_num, n_points_final_grid, &
!$OMP mos_l_in_r_array_transp, mos_r_in_r_array_transp, &
!$OMP int2_grad1_u12_bimo_t, final_weight_at_r_vector, &
!$OMP tmp1)
!$OMP DO COLLAPSE(2)
do i = 1, mo_num
do l = 1, mo_num
do ipoint = 1, n_points_final_grid
tmp1(ipoint,1,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,1,l,i) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,l)
tmp1(ipoint,2,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,2,l,i) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,l)
tmp1(ipoint,3,l,i) = final_weight_at_r_vector(ipoint) * int2_grad1_u12_bimo_t(ipoint,3,l,i) * mos_l_in_r_array_transp(ipoint,i) * mos_r_in_r_array_transp(ipoint,l)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call dgemm( 'T', 'N', mo_num*mo_num, mo_num*mo_num, 3*n_points_final_grid, 1.d0 &
, tmp1(1,1,1,1), 3*n_points_final_grid, int2_grad1_u12_bimo_t(1,1,1,1), 3*n_points_final_grid &
, 0.d0, tmp_4d(1,1,1,1), mo_num*mo_num)
deallocate(tmp1)
!$OMP PARALLEL DO PRIVATE(i,j,k,m)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
three_e_4_idx_exch23_bi_ort_n4(m,j,k,i) = three_e_4_idx_exch23_bi_ort_n4(m,j,k,i) - tmp_4d(m,j,k,i) - tmp_4d(j,m,k,i)
enddo
enddo
enddo
enddo
!$OMP END PARALLEL DO
deallocate(tmp_4d)
call wall_time(wall1)
print *, ' wall time for O(N^4) three_e_4_idx_exch23_bi_ort_n4', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---

290
src/bi_ort_ints/three_body_ijmk_old.irp.f Normal file
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@ -0,0 +1,290 @@
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_direct_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_direct_bi_ort_old(m,j,k,i) = <mjk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_direct_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_direct_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_direct_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, j, i, integral)
three_e_4_idx_direct_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_direct_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_1_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_1_bi_ort_old(m,j,k,i) = <mjk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_1_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_cycle_1_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_1_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, j, i, m, integral)
three_e_4_idx_cycle_1_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_1_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! --
BEGIN_PROVIDER [ double precision, three_e_4_idx_cycle_2_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_cycle_2_bi_ort_old(m,j,k,i) = <mjk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_cycle_2_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_cycle_2_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_cycle_2_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, m, j, integral)
three_e_4_idx_cycle_2_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_cycle_2_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch23_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch23_bi_ort_old(m,j,k,i) = <mjk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch23_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_exch23_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch23_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, j, m, i, integral)
three_e_4_idx_exch23_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch23_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch13_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch13_bi_ort_old(m,j,k,i) = <mjk|-L|ijm> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch13_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_exch13_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch13_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, i, j, m, integral)
three_e_4_idx_exch13_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch13_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_4_idx_exch12_bi_ort_old, (mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF SINGLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_4_idx_exch12_bi_ort_old(m,j,k,i) = <mjk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m
double precision :: integral, wall1, wall0
three_e_4_idx_exch12_bi_ort_old = 0.d0
print *, ' Providing the three_e_4_idx_exch12_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,integral) &
!$OMP SHARED (mo_num,three_e_4_idx_exch12_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, j, k, m, i, j, integral)
three_e_4_idx_exch12_bi_ort_old(m,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_4_idx_exch12_bi_ort_old', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---

401
src/bi_ort_ints/three_body_ijmkl.irp.f
View File

@ -1,296 +1,245 @@
! ---
double precision function three_e_5_idx_exch12_bi_ort(m,l,i,k,j) result(integral)
implicit none
integer, intent(in) :: m,l,j,k,i
integral = three_e_5_idx_direct_bi_ort(m,l,j,k,i)
end
BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort , (mo_num, mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort , (mo_num, mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort , (mo_num, mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_direct_bi_ort(m,l,j,k,i) = <mlk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_direct_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_direct_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_direct_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, m, j, i, integral)
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_direct_bi_ort', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = <mlk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
! three_e_5_idx_direct_bi_ort(m,l,j,k,i) = <mlk|-L|mji> :: : notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_cycle_1_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_cycle_1_bi_ort ...'
call wall_time(wall0)
integer :: i, j, k, m, l
double precision :: wall1, wall0
integer :: ipoint
double precision, allocatable :: grad_mli(:,:), orb_mat(:,:,:)
double precision, allocatable :: lk_grad_mi(:,:,:,:), rk_grad_im(:,:,:)
double precision, allocatable :: lm_grad_ik(:,:,:,:), rm_grad_ik(:,:,:)
double precision, allocatable :: tmp_mat(:,:,:)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_1_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
call print_memory_usage
print *, ' Providing the three_e_5_idx_bi_ort ...'
call wall_time(wall0)
three_e_5_idx_direct_bi_ort (:,:,:,:,:) = 0.d0
three_e_5_idx_cycle_1_bi_ort(:,:,:,:,:) = 0.d0
three_e_5_idx_cycle_2_bi_ort(:,:,:,:,:) = 0.d0
three_e_5_idx_exch23_bi_ort (:,:,:,:,:) = 0.d0
three_e_5_idx_exch13_bi_ort (:,:,:,:,:) = 0.d0
call print_memory_usage
allocate(tmp_mat(mo_num,mo_num,mo_num))
allocate(orb_mat(n_points_final_grid,mo_num,mo_num))
!$OMP PARALLEL DO PRIVATE (i,l,ipoint)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
orb_mat(ipoint,l,i) = final_weight_at_r_vector(ipoint) &
* mos_l_in_r_array_transp(ipoint,l) &
* mos_r_in_r_array_transp(ipoint,i)
enddo
enddo
enddo
!$OMP END PARALLEL DO
tmp_mat = 0.d0
call print_memory_usage
do m = 1, mo_num
allocate(grad_mli(n_points_final_grid,mo_num))
do i=1,mo_num
!$OMP PARALLEL DO PRIVATE (l,ipoint)
do l=1,mo_num
do ipoint=1, n_points_final_grid
grad_mli(ipoint,l) = &
int2_grad1_u12_bimo_t(ipoint,1,m,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i) +&
int2_grad1_u12_bimo_t(ipoint,2,m,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i) +&
int2_grad1_u12_bimo_t(ipoint,3,m,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i)
enddo
enddo
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num, n_points_final_grid, 1.d0,&
orb_mat, n_points_final_grid, &
grad_mli, n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL PRIVATE(j,k,l)
!$OMP DO
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, j, i, m, integral)
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = -1.d0 * integral
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = three_e_5_idx_direct_bi_ort(m,l,j,k,i) - tmp_mat(l,j,k)
enddo
enddo
enddo
!$OMP END DO
!$OMP DO
do j = 1, mo_num
do l = 1, mo_num
do k = 1, mo_num
three_e_5_idx_direct_bi_ort(m,k,i,l,j) = three_e_5_idx_direct_bi_ort(m,k,i,l,j) - tmp_mat(l,j,k)
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
enddo
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_1_bi_ort', wall1 - wall0
deallocate(grad_mli)
END_PROVIDER
allocate(lm_grad_ik(n_points_final_grid,3,mo_num,mo_num))
allocate(lk_grad_mi(n_points_final_grid,3,mo_num,mo_num))
! ---
!$OMP PARALLEL DO PRIVATE (i,l,ipoint)
do i=1,mo_num
do l=1,mo_num
do ipoint=1, n_points_final_grid
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
lm_grad_ik(ipoint,1,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,2,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i) * final_weight_at_r_vector(ipoint)
lm_grad_ik(ipoint,3,l,i) = mos_l_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i) * final_weight_at_r_vector(ipoint)
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = <mlk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
lk_grad_mi(ipoint,1,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,1,m,i) * final_weight_at_r_vector(ipoint)
lk_grad_mi(ipoint,2,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,2,m,i) * final_weight_at_r_vector(ipoint)
lk_grad_mi(ipoint,3,l,i) = mos_l_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,3,m,i) * final_weight_at_r_vector(ipoint)
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_cycle_2_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_cycle_2_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_2_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
do l = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, m, j, integral)
three_e_5_idx_cycle_2_bi_ort(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
!$OMP END PARALLEL DO
allocate(rm_grad_ik(n_points_final_grid,3,mo_num))
allocate(rk_grad_im(n_points_final_grid,3,mo_num))
do i=1,mo_num
!$OMP PARALLEL DO PRIVATE (l,ipoint)
do l=1,mo_num
do ipoint=1, n_points_final_grid
rm_grad_ik(ipoint,1,l) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,1,l,i)
rm_grad_ik(ipoint,2,l) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,2,l,i)
rm_grad_ik(ipoint,3,l) = mos_r_in_r_array_transp(ipoint,m) * int2_grad1_u12_bimo_t(ipoint,3,l,i)
rk_grad_im(ipoint,1,l) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,1,i,m)
rk_grad_im(ipoint,2,l) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,2,i,m)
rk_grad_im(ipoint,3,l) = mos_r_in_r_array_transp(ipoint,l) * int2_grad1_u12_bimo_t(ipoint,3,i,m)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP END PARALLEL DO
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_2_bi_ort', wall1 - wall0
call dgemm('T','N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0,&
lm_grad_ik, 3*n_points_final_grid, &
rm_grad_ik, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch23_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_exch23_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch23_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
!$OMP PARALLEL DO PRIVATE(j,k,l)
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, j, m, i, integral)
three_e_5_idx_exch23_bi_ort(m,l,j,k,i) = -1.d0 * integral
three_e_5_idx_direct_bi_ort(m,l,j,k,i) = three_e_5_idx_direct_bi_ort(m,l,j,k,i) - tmp_mat(l,j,k)
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP END PARALLEL DO
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch23_bi_ort', wall1 - wall0
call dgemm('T','N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0,&
lm_grad_ik, 3*n_points_final_grid, &
rk_grad_im, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = <mlk|-L|ijm> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch13_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_exch13_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch13_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
!$OMP PARALLEL DO PRIVATE(j,k,l)
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, j, m, integral)
three_e_5_idx_exch13_bi_ort(m,l,j,k,i) = -1.d0 * integral
three_e_5_idx_cycle_1_bi_ort(m,l,j,i,k) = three_e_5_idx_cycle_1_bi_ort(m,l,j,i,k) - tmp_mat(l,k,j)
three_e_5_idx_cycle_2_bi_ort(m,i,j,k,l) = three_e_5_idx_cycle_2_bi_ort(m,i,j,k,l) - tmp_mat(k,j,l)
three_e_5_idx_exch23_bi_ort (m,i,j,k,l) = three_e_5_idx_exch23_bi_ort (m,i,j,k,l) - tmp_mat(k,l,j)
three_e_5_idx_exch13_bi_ort (m,l,j,i,k) = three_e_5_idx_exch13_bi_ort (m,l,j,i,k) - tmp_mat(l,j,k)
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP END PARALLEL DO
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch13_bi_ort', wall1 - wall0
END_PROVIDER
call dgemm('T','N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0,&
lk_grad_mi, 3*n_points_final_grid, &
rm_grad_ik, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = <mlk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch12_bi_ort = 0.d0
print *, ' Providing the three_e_5_idx_exch12_bi_ort ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch12_bi_ort)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
!$OMP PARALLEL DO PRIVATE(j,k,l)
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, m, i, j, integral)
three_e_5_idx_exch12_bi_ort(m,l,j,k,i) = -1.d0 * integral
three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) = three_e_5_idx_cycle_1_bi_ort(m,l,j,k,i) - tmp_mat(k,j,l)
three_e_5_idx_cycle_2_bi_ort(m,l,i,k,j) = three_e_5_idx_cycle_2_bi_ort(m,l,i,k,j) - tmp_mat(l,j,k)
three_e_5_idx_exch23_bi_ort (m,l,j,k,i) = three_e_5_idx_exch23_bi_ort (m,l,j,k,i) - tmp_mat(l,j,k)
three_e_5_idx_exch13_bi_ort (m,l,i,k,j) = three_e_5_idx_exch13_bi_ort (m,l,i,k,j) - tmp_mat(k,j,l)
enddo
enddo
enddo
!$OMP END PARALLEL DO
call dgemm('T','N', mo_num*mo_num, mo_num, 3*n_points_final_grid, 1.d0,&
lk_grad_mi, 3*n_points_final_grid, &
rk_grad_im, 3*n_points_final_grid, 0.d0, &
tmp_mat, mo_num*mo_num)
!$OMP PARALLEL DO PRIVATE(j,k,l)
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
three_e_5_idx_cycle_1_bi_ort(m,l,j,i,k) = three_e_5_idx_cycle_1_bi_ort(m,l,j,i,k) - tmp_mat(l,j,k)
three_e_5_idx_cycle_2_bi_ort(m,i,j,k,l) = three_e_5_idx_cycle_2_bi_ort(m,i,j,k,l) - tmp_mat(k,l,j)
three_e_5_idx_exch23_bi_ort (m,i,j,k,l) = three_e_5_idx_exch23_bi_ort (m,i,j,k,l) - tmp_mat(k,j,l)
three_e_5_idx_exch13_bi_ort (m,l,j,i,k) = three_e_5_idx_exch13_bi_ort (m,l,j,i,k) - tmp_mat(l,k,j)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
enddo
!$OMP END PARALLEL DO
enddo
deallocate(rm_grad_ik)
deallocate(rk_grad_im)
deallocate(lk_grad_mi)
deallocate(lm_grad_ik)
enddo
deallocate(tmp_mat)
deallocate(orb_mat)
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch12_bi_ort', wall1 - wall0
print *, ' wall time for three_e_5_idx_bi_ort', wall1 - wall0
call print_memory_usage()
END_PROVIDER
! ---

295
src/bi_ort_ints/three_body_ijmkl_old.irp.f Normal file
View File

@ -0,0 +1,295 @@
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_direct_bi_ort_old, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_direct_bi_ort_old(m,l,j,k,i) = <mlk|-L|mji> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_direct_bi_ort_old = 0.d0
print *, ' Providing the three_e_5_idx_direct_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_direct_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, m, j, i, integral)
three_e_5_idx_direct_bi_ort_old(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_direct_bi_ort_old', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_1_bi_ort_old, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_1_bi_ort_old(m,l,j,k,i) = <mlk|-L|jim> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_cycle_1_bi_ort_old = 0.d0
print *, ' Providing the three_e_5_idx_cycle_1_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_1_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, j, i, m, integral)
three_e_5_idx_cycle_1_bi_ort_old(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_1_bi_ort_old', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_cycle_2_bi_ort_old, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE FIRST CYCLIC PERMUTATION TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_cycle_2_bi_ort_old(m,l,j,k,i) = <mlk|-L|imj> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_cycle_2_bi_ort_old = 0.d0
print *, ' Providing the three_e_5_idx_cycle_2_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_cycle_2_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do m = 1, mo_num
do l = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, m, j, integral)
three_e_5_idx_cycle_2_bi_ort_old(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_cycle_2_bi_ort_old', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch23_bi_ort_old, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch23_bi_ort_old(m,l,j,k,i) = <mlk|-L|jmi> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch23_bi_ort_old = 0.d0
print *, ' Providing the three_e_5_idx_exch23_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch23_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, j, m, i, integral)
three_e_5_idx_exch23_bi_ort_old(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch23_bi_ort_old', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch13_bi_ort_old, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch13_bi_ort_old(m,l,j,k,i) = <mlk|-L|ijm> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
three_e_5_idx_exch13_bi_ort_old = 0.d0
print *, ' Providing the three_e_5_idx_exch13_bi_ort_old ...'
call wall_time(wall0)
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch13_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, i, j, m, integral)
three_e_5_idx_exch13_bi_ort_old(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch13_bi_ort_old', wall1 - wall0
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, three_e_5_idx_exch12_bi_ort_old, (mo_num, mo_num, mo_num, mo_num, mo_num)]
BEGIN_DOC
!
! matrix element of the -L three-body operator FOR THE DIRECT TERMS OF DOUBLE EXCITATIONS AND BI ORTHO MOs
!
! three_e_5_idx_exch12_bi_ort_old(m,l,j,k,i) = <mlk|-L|mij> ::: notice that i is the RIGHT MO and k is the LEFT MO
!
! notice the -1 sign: in this way three_e_3_idx_direct_bi_ort can be directly used to compute Slater rules with a + sign
!
END_DOC
implicit none
integer :: i, j, k, m, l
double precision :: integral, wall1, wall0
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
PROVIDE mo_l_coef mo_r_coef int2_grad1_u12_bimo_t
three_e_5_idx_exch12_bi_ort_old = 0.d0
print *, ' Providing the three_e_5_idx_exch12_bi_ort_old ...'
call wall_time(wall0)
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
!$OMP PRIVATE (i,j,k,m,l,integral) &
!$OMP SHARED (mo_num,three_e_5_idx_exch12_bi_ort_old)
!$OMP DO SCHEDULE (dynamic) COLLAPSE(2)
do i = 1, mo_num
do k = 1, mo_num
do j = 1, mo_num
do l = 1, mo_num
do m = 1, mo_num
call give_integrals_3_body_bi_ort(m, l, k, m, i, j, integral)
three_e_5_idx_exch12_bi_ort_old(m,l,j,k,i) = -1.d0 * integral
enddo
enddo
enddo
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
call wall_time(wall1)
print *, ' wall time for three_e_5_idx_exch12_bi_ort_old', wall1 - wall0
END_PROVIDER

117
src/bi_ort_ints/three_body_ints_bi_ort.irp.f
View File

@ -29,6 +29,9 @@ BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_n
!provide x_W_ki_bi_ortho_erf_rk
provide mos_r_in_r_array_transp mos_l_in_r_array_transp
provide int2_grad1_u12_ao_transp final_grid_points int2_grad1_u12_bimo_t
provide mo_l_coef mo_r_coef mos_l_in_r_array_transp mos_r_in_r_array_transp n_points_final_grid
!$OMP PARALLEL &
!$OMP DEFAULT (NONE) &
@ -57,6 +60,7 @@ BEGIN_PROVIDER [ double precision, three_body_ints_bi_ort, (mo_num, mo_num, mo_n
call wall_time(wall1)
print *, ' wall time for three_body_ints_bi_ort', wall1 - wall0
call print_memory_usage()
! if(write_three_body_ints_bi_ort)then
! print*,'Writing three_body_ints_bi_ort on disk ...'
! call write_array_6_index_tensor(mo_num,three_body_ints_bi_ort,name_file)
@ -67,11 +71,69 @@ END_PROVIDER
! ---
subroutine give_integrals_3_body_bi_ort_spin( n, sigma_n, l, sigma_l, k, sigma_k &
, m, sigma_m, j, sigma_j, i, sigma_i &
, integral)
BEGIN_DOC
!
! < n l k | L | m j i > with a BI-ORTHONORMAL SPIN-ORBITALS
!
! /!\ L is defined without the 1/6 factor
!
END_DOC
implicit none
integer, intent(in) :: n, l, k, m, j, i
double precision, intent(in) :: sigma_n, sigma_l, sigma_k, sigma_m, sigma_j, sigma_i
double precision, intent(out) :: integral
integer :: ipoint
double precision :: weight, tmp
logical, external :: is_same_spin
integral = 0.d0
if( is_same_spin(sigma_n, sigma_m) .and. &
is_same_spin(sigma_l, sigma_j) .and. &
is_same_spin(sigma_k, sigma_i) ) then
PROVIDE mo_l_coef mo_r_coef
PROVIDE int2_grad1_u12_bimo_t
do ipoint = 1, n_points_final_grid
tmp = mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
* ( int2_grad1_u12_bimo_t(ipoint,1,n,m) * int2_grad1_u12_bimo_t(ipoint,1,l,j) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,m) * int2_grad1_u12_bimo_t(ipoint,2,l,j) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,m) * int2_grad1_u12_bimo_t(ipoint,3,l,j) )
tmp = tmp + mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_t(ipoint,1,n,m) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,m) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,m) * int2_grad1_u12_bimo_t(ipoint,3,k,i) )
tmp = tmp + mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_t(ipoint,1,l,j) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,l,j) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,l,j) * int2_grad1_u12_bimo_t(ipoint,3,k,i) )
integral = integral + tmp * final_weight_at_r_vector(ipoint)
enddo
endif
return
end subroutine give_integrals_3_body_bi_ort_spin
! ---
subroutine give_integrals_3_body_bi_ort(n, l, k, m, j, i, integral)
BEGIN_DOC
!
! < n l k | -L | m j i > with a BI-ORTHONORMAL MOLECULAR ORBITALS
! < n l k | L | m j i > with a BI-ORTHONORMAL MOLECULAR ORBITALS
!
! /!\ L is defined without the 1/6 factor
!
END_DOC
@ -79,25 +141,31 @@ subroutine give_integrals_3_body_bi_ort(n, l, k, m, j, i, integral)
integer, intent(in) :: n, l, k, m, j, i
double precision, intent(out) :: integral
integer :: ipoint
double precision :: weight
double precision :: weight, tmp
PROVIDE mo_l_coef mo_r_coef
PROVIDE int2_grad1_u12_bimo_t
integral = 0.d0
! (n, l, k, m, j, i)
do ipoint = 1, n_points_final_grid
weight = final_weight_at_r_vector(ipoint)
integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
tmp = mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
* ( int2_grad1_u12_bimo_t(ipoint,1,n,m) * int2_grad1_u12_bimo_t(ipoint,1,l,j) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,m) * int2_grad1_u12_bimo_t(ipoint,2,l,j) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,m) * int2_grad1_u12_bimo_t(ipoint,3,l,j) )
integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
tmp = tmp + mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
* ( int2_grad1_u12_bimo_t(ipoint,1,n,m) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,n,m) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,n,m) * int2_grad1_u12_bimo_t(ipoint,3,k,i) )
integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
tmp = tmp + mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
* ( int2_grad1_u12_bimo_t(ipoint,1,l,j) * int2_grad1_u12_bimo_t(ipoint,1,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,2,l,j) * int2_grad1_u12_bimo_t(ipoint,2,k,i) &
+ int2_grad1_u12_bimo_t(ipoint,3,l,j) * int2_grad1_u12_bimo_t(ipoint,3,k,i) )
integral = integral + tmp * final_weight_at_r_vector(ipoint)
enddo
end subroutine give_integrals_3_body_bi_ort
@ -108,7 +176,9 @@ subroutine give_integrals_3_body_bi_ort_old(n, l, k, m, j, i, integral)
BEGIN_DOC
!
! < n l k | -L | m j i > with a BI-ORTHONORMAL MOLECULAR ORBITALS
! < n l k | L | m j i > with a BI-ORTHONORMAL MOLECULAR ORBITALS
!
! /!\ L is defined without the 1/6 factor
!
END_DOC
@ -121,35 +191,6 @@ subroutine give_integrals_3_body_bi_ort_old(n, l, k, m, j, i, integral)
integral = 0.d0
do ipoint = 1, n_points_final_grid
weight = final_weight_at_r_vector(ipoint)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,1,l,j) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,2,l,j) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,3,l,j) )
! integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,1,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,2,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,n,m) * x_W_ki_bi_ortho_erf_rk(ipoint,3,k,i) )
! integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
! * ( x_W_ki_bi_ortho_erf_rk(ipoint,1,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,1,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,2,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,2,k,i) &
! + x_W_ki_bi_ortho_erf_rk(ipoint,3,l,j) * x_W_ki_bi_ortho_erf_rk(ipoint,3,k,i) )
! integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
! * ( int2_grad1_u12_bimo(1,n,m,ipoint) * int2_grad1_u12_bimo(1,l,j,ipoint) &
! + int2_grad1_u12_bimo(2,n,m,ipoint) * int2_grad1_u12_bimo(2,l,j,ipoint) &
! + int2_grad1_u12_bimo(3,n,m,ipoint) * int2_grad1_u12_bimo(3,l,j,ipoint) )
! integral += weight * mos_l_in_r_array_transp(ipoint,l) * mos_r_in_r_array_transp(ipoint,j) &
! * ( int2_grad1_u12_bimo(1,n,m,ipoint) * int2_grad1_u12_bimo(1,k,i,ipoint) &
! + int2_grad1_u12_bimo(2,n,m,ipoint) * int2_grad1_u12_bimo(2,k,i,ipoint) &
! + int2_grad1_u12_bimo(3,n,m,ipoint) * int2_grad1_u12_bimo(3,k,i,ipoint) )
! integral += weight * mos_l_in_r_array_transp(ipoint,n) * mos_r_in_r_array_transp(ipoint,m) &
! * ( int2_grad1_u12_bimo(1,l,j,ipoint) * int2_grad1_u12_bimo(1,k,i,ipoint) &
! + int2_grad1_u12_bimo(2,l,j,ipoint) * int2_grad1_u12_bimo(2,k,i,ipoint) &
! + int2_grad1_u12_bimo(3,l,j,ipoint) * int2_grad1_u12_bimo(3,k,i,ipoint) )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
integral += weight * mos_l_in_r_array_transp(ipoint,k) * mos_r_in_r_array_transp(ipoint,i) &
* ( int2_grad1_u12_bimo_transp(n,m,1,ipoint) * int2_grad1_u12_bimo_transp(l,j,1,ipoint) &
+ int2_grad1_u12_bimo_transp(n,m,2,ipoint) * int2_grad1_u12_bimo_transp(l,j,2,ipoint) &
@ -173,7 +214,9 @@ subroutine give_integrals_3_body_bi_ort_ao(n, l, k, m, j, i, integral)
BEGIN_DOC
!
! < n l k | -L | m j i > with a BI-ORTHONORMAL ATOMIC ORBITALS
! < n l k | L | m j i > with a BI-ORTHONORMAL ATOMIC ORBITALS
!
! /!\ L is defined without the 1/6 factor
!
END_DOC

234
src/bi_ort_ints/total_twoe_pot.irp.f
View File

@ -20,6 +20,7 @@ BEGIN_PROVIDER [double precision, ao_two_e_vartc_tot, (ao_num, ao_num, ao_num, a
enddo
END_PROVIDER
! ---
BEGIN_PROVIDER [double precision, ao_two_e_tc_tot, (ao_num, ao_num, ao_num, ao_num) ]
@ -40,20 +41,7 @@ BEGIN_PROVIDER [double precision, ao_two_e_tc_tot, (ao_num, ao_num, ao_num, ao_n
provide j1b_type
if(j1b_type .eq. 3) then
do j = 1, ao_num
do l = 1, ao_num
do i = 1, ao_num
do k = 1, ao_num
ao_two_e_tc_tot(k,i,l,j) = ao_tc_int_chemist(k,i,l,j)
!write(222,*) ao_two_e_tc_tot(k,i,l,j)
enddo
enddo
enddo
enddo
else
if(j1b_type .eq. 0) then
PROVIDE ao_tc_sym_two_e_pot_in_map
@ -77,6 +65,23 @@ BEGIN_PROVIDER [double precision, ao_two_e_tc_tot, (ao_num, ao_num, ao_num, ao_n
enddo
enddo
else
PROVIDE ao_tc_int_chemist
do j = 1, ao_num
do l = 1, ao_num
do i = 1, ao_num
do k = 1, ao_num
ao_two_e_tc_tot(k,i,l,j) = ao_tc_int_chemist(k,i,l,j)
!write(222,*) ao_two_e_tc_tot(k,i,l,j)
enddo
enddo
enddo
enddo
FREE ao_tc_int_chemist
endif
END_PROVIDER
@ -125,69 +130,99 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e_chemist, (mo_num, mo_num,
implicit none
integer :: i, j, k, l, m, n, p, q
double precision, allocatable :: mo_tmp_1(:,:,:,:), mo_tmp_2(:,:,:,:)
double precision, allocatable :: a1(:,:,:,:), a2(:,:,:,:)
allocate(mo_tmp_1(mo_num,ao_num,ao_num,ao_num))
mo_tmp_1 = 0.d0
PROVIDE mo_r_coef mo_l_coef
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do q = 1, ao_num
do k = 1, mo_num
! (k n|p m) = sum_q c_qk * (q n|p m)
mo_tmp_1(k,n,p,m) += mo_l_coef_transp(k,q) * ao_two_e_tc_tot(q,n,p,m)
enddo
enddo
enddo
enddo
enddo
allocate(a2(ao_num,ao_num,ao_num,mo_num))
allocate(mo_tmp_2(mo_num,mo_num,ao_num,ao_num))
mo_tmp_2 = 0.d0
call dgemm( 'T', 'N', ao_num*ao_num*ao_num, mo_num, ao_num, 1.d0 &
, ao_two_e_tc_tot(1,1,1,1), ao_num, mo_l_coef(1,1), ao_num &
, 0.d0 , a2(1,1,1,1), ao_num*ao_num*ao_num)
do m = 1, ao_num
do p = 1, ao_num
do n = 1, ao_num
do i = 1, mo_num
do k = 1, mo_num
! (k i|p m) = sum_n c_ni * (k n|p m)
mo_tmp_2(k,i,p,m) += mo_r_coef_transp(i,n) * mo_tmp_1(k,n,p,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_1)
allocate(a1(ao_num,ao_num,mo_num,mo_num))
allocate(mo_tmp_1(mo_num,mo_num,mo_num,ao_num))
mo_tmp_1 = 0.d0
do m = 1, ao_num
do p = 1, ao_num
do l = 1, mo_num
do i = 1, mo_num
do k = 1, mo_num
mo_tmp_1(k,i,l,m) += mo_l_coef_transp(l,p) * mo_tmp_2(k,i,p,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_2)
call dgemm( 'T', 'N', ao_num*ao_num*mo_num, mo_num, ao_num, 1.d0 &
, a2(1,1,1,1), ao_num, mo_r_coef(1,1), ao_num &
, 0.d0, a1(1,1,1,1), ao_num*ao_num*mo_num)
mo_bi_ortho_tc_two_e_chemist = 0.d0
do m = 1, ao_num
do j = 1, mo_num
do l = 1, mo_num
do i = 1, mo_num
do k = 1, mo_num
mo_bi_ortho_tc_two_e_chemist(k,i,l,j) += mo_r_coef_transp(j,m) * mo_tmp_1(k,i,l,m)
enddo
enddo
enddo
enddo
enddo
deallocate(mo_tmp_1)
deallocate(a2)
allocate(a2(ao_num,mo_num,mo_num,mo_num))
call dgemm( 'T', 'N', ao_num*mo_num*mo_num, mo_num, ao_num, 1.d0 &
, a1(1,1,1,1), ao_num, mo_l_coef(1,1), ao_num &
, 0.d0, a2(1,1,1,1), ao_num*mo_num*mo_num)
deallocate(a1)
call dgemm( 'T', 'N', mo_num*mo_num*mo_num, mo_num, ao_num, 1.d0 &
, a2(1,1,1,1), ao_num, mo_r_coef(1,1), ao_num &
, 0.d0, mo_bi_ortho_tc_two_e_chemist(1,1,1,1), mo_num*mo_num*mo_num)
deallocate(a2)
!allocate(a1(mo_num,ao_num,ao_num,ao_num))
!a1 = 0.d0
!do m = 1, ao_num
! do p = 1, ao_num
! do n = 1, ao_num
! do q = 1, ao_num
! do k = 1, mo_num
! ! (k n|p m) = sum_q c_qk * (q n|p m)
! a1(k,n,p,m) += mo_l_coef_transp(k,q) * ao_two_e_tc_tot(q,n,p,m)
! enddo
! enddo
! enddo
! enddo
!enddo
!allocate(a2(mo_num,mo_num,ao_num,ao_num))
!a2 = 0.d0
!do m = 1, ao_num
! do p = 1, ao_num
! do n = 1, ao_num
! do i = 1, mo_num
! do k = 1, mo_num
! ! (k i|p m) = sum_n c_ni * (k n|p m)
! a2(k,i,p,m) += mo_r_coef_transp(i,n) * a1(k,n,p,m)
! enddo
! enddo
! enddo
! enddo
!enddo
!deallocate(a1)
!allocate(a1(mo_num,mo_num,mo_num,ao_num))
!a1 = 0.d0
!do m = 1, ao_num
! do p = 1, ao_num
! do l = 1, mo_num
! do i = 1, mo_num
! do k = 1, mo_num
! a1(k,i,l,m) += mo_l_coef_transp(l,p) * a2(k,i,p,m)
! enddo
! enddo
! enddo
! enddo
!enddo
!deallocate(a2)
!mo_bi_ortho_tc_two_e_chemist = 0.d0
!do m = 1, ao_num
! do j = 1, mo_num
! do l = 1, mo_num
! do i = 1, mo_num
! do k = 1, mo_num
! mo_bi_ortho_tc_two_e_chemist(k,i,l,j) += mo_r_coef_transp(j,m) * a1(k,i,l,m)
! enddo
! enddo
! enddo
! enddo
!enddo
!deallocate(a1)
END_PROVIDER
@ -206,6 +241,8 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e, (mo_num, mo_num, mo_num,
implicit none
integer :: i, j, k, l
PROVIDE mo_bi_ortho_tc_two_e_chemist
do j = 1, mo_num
do i = 1, mo_num
do l = 1, mo_num
@ -217,48 +254,60 @@ BEGIN_PROVIDER [double precision, mo_bi_ortho_tc_two_e, (mo_num, mo_num, mo_num,
enddo
enddo
FREE mo_bi_ortho_tc_two_e_chemist
if(noL_standard) then
PROVIDE noL_2e
! x 2 because of the Slater-Condon rules convention
mo_bi_ortho_tc_two_e = mo_bi_ortho_tc_two_e + 2.d0 * noL_2e
FREE noL_2e
endif
END_PROVIDER
! ---
BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj, (mo_num,mo_num) ]
&BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj_exchange, (mo_num,mo_num) ]
&BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj_anti, (mo_num,mo_num) ]
implicit none
BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj, (mo_num,mo_num)]
&BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj_exchange, (mo_num,mo_num)]
&BEGIN_PROVIDER [ double precision, mo_bi_ortho_tc_two_e_jj_anti, (mo_num,mo_num)]
BEGIN_DOC
! mo_bi_ortho_tc_two_e_jj(i,j) = J_ij = <ji|W-K|ji>
!
! mo_bi_ortho_tc_two_e_jj (i,j) = J_ij = <ji|W-K|ji>
! mo_bi_ortho_tc_two_e_jj_exchange(i,j) = K_ij = <ij|W-K|ji>
! mo_bi_ortho_tc_two_e_jj_anti(i,j) = J_ij - K_ij
! mo_bi_ortho_tc_two_e_jj_anti (i,j) = J_ij - K_ij
!
END_DOC
integer :: i,j
double precision :: get_two_e_integral
implicit none
integer :: i, j
mo_bi_ortho_tc_two_e_jj = 0.d0
mo_bi_ortho_tc_two_e_jj_exchange = 0.d0
do i=1,mo_num
do j=1,mo_num
mo_bi_ortho_tc_two_e_jj(i,j) = mo_bi_ortho_tc_two_e(j,i,j,i)
do i = 1, mo_num
do j = 1, mo_num
mo_bi_ortho_tc_two_e_jj (i,j) = mo_bi_ortho_tc_two_e(j,i,j,i)
mo_bi_ortho_tc_two_e_jj_exchange(i,j) = mo_bi_ortho_tc_two_e(i,j,j,i)
mo_bi_ortho_tc_two_e_jj_anti(i,j) = mo_bi_ortho_tc_two_e_jj(i,j) - mo_bi_ortho_tc_two_e_jj_exchange(i,j)
mo_bi_ortho_tc_two_e_jj_anti (i,j) = mo_bi_ortho_tc_two_e_jj(i,j) - mo_bi_ortho_tc_two_e_jj_exchange(i,j)
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [double precision, tc_2e_3idx_coulomb_integrals, (mo_num,mo_num, mo_num)]
&BEGIN_PROVIDER [double precision, tc_2e_3idx_exchange_integrals,(mo_num,mo_num, mo_num)]
implicit none
! ---
BEGIN_PROVIDER [double precision, tc_2e_3idx_coulomb_integrals , (mo_num,mo_num,mo_num)]
&BEGIN_PROVIDER [double precision, tc_2e_3idx_exchange_integrals, (mo_num,mo_num,mo_num)]
BEGIN_DOC
! tc_2e_3idx_coulomb_integrals(j,k,i) = <jk|ji>
!
! tc_2e_3idx_coulomb_integrals (j,k,i) = <jk|ji>
! tc_2e_3idx_exchange_integrals(j,k,i) = <kj|ji>
END_DOC
integer :: i,j,k,l
double precision :: get_two_e_integral
double precision :: integral
implicit none
integer :: i, j, k
do i = 1, mo_num
do k = 1, mo_num
@ -270,3 +319,6 @@ END_PROVIDER
enddo
END_PROVIDER
! ---

2
src/bi_ortho_mos/bi_density.irp.f
View File

@ -15,7 +15,6 @@ BEGIN_PROVIDER [double precision, TCSCF_bi_ort_dm_ao_alpha, (ao_num, ao_num) ]
call dgemm( 'N', 'T', ao_num, ao_num, elec_alpha_num, 1.d0 &
, mo_l_coef, size(mo_l_coef, 1), mo_r_coef, size(mo_r_coef, 1) &
!, mo_r_coef, size(mo_r_coef, 1), mo_l_coef, size(mo_l_coef, 1) &
, 0.d0, TCSCF_bi_ort_dm_ao_alpha, size(TCSCF_bi_ort_dm_ao_alpha, 1) )
END_PROVIDER
@ -36,7 +35,6 @@ BEGIN_PROVIDER [ double precision, TCSCF_bi_ort_dm_ao_beta, (ao_num, ao_num) ]
call dgemm( 'N', 'T', ao_num, ao_num, elec_beta_num, 1.d0 &
, mo_l_coef, size(mo_l_coef, 1), mo_r_coef, size(mo_r_coef, 1) &
!, mo_r_coef, size(mo_r_coef, 1), mo_l_coef, size(mo_l_coef, 1) &
, 0.d0, TCSCF_bi_ort_dm_ao_beta, size(TCSCF_bi_ort_dm_ao_beta, 1) )
END_PROVIDER

2
src/bi_ortho_mos/bi_ort_mos_in_r.irp.f
View File

@ -116,7 +116,7 @@ end subroutine give_all_mos_l_at_r
! ---
BEGIN_PROVIDER[double precision, mos_l_in_r_array_transp,(n_points_final_grid,mo_num)]
BEGIN_PROVIDER[double precision, mos_l_in_r_array_transp, (n_points_final_grid,mo_num)]
BEGIN_DOC
! mos_l_in_r_array_transp(i,j) = value of the jth mo on the ith grid point

7
src/bi_ortho_mos/mos_rl.irp.f
View File

@ -17,6 +17,8 @@ subroutine ao_to_mo_bi_ortho(A_ao, LDA_ao, A_mo, LDA_mo)
double precision, intent(out) :: A_mo(LDA_mo,mo_num)
double precision, allocatable :: T(:,:)
PROVIDE mo_l_coef mo_r_coef
allocate ( T(ao_num,mo_num) )
!DIR$ ATTRIBUTES ALIGN : $IRP_ALIGN :: T
@ -30,7 +32,6 @@ subroutine ao_to_mo_bi_ortho(A_ao, LDA_ao, A_mo, LDA_mo)
, mo_l_coef, size(mo_l_coef, 1), T, size(T, 1) &
, 0.d0, A_mo, LDA_mo )
! call restore_symmetry(mo_num,mo_num,A_mo,size(A_mo,1),1.d-12)
deallocate(T)
end subroutine ao_to_mo_bi_ortho
@ -54,6 +55,8 @@ subroutine mo_to_ao_bi_ortho(A_mo, LDA_mo, A_ao, LDA_ao)
double precision, intent(out) :: A_ao(LDA_ao,ao_num)
double precision, allocatable :: tmp_1(:,:), tmp_2(:,:)
PROVIDE mo_l_coef mo_r_coef
! ao_overlap x mo_r_coef
allocate( tmp_1(ao_num,mo_num) )
call dgemm( 'N', 'N', ao_num, mo_num, ao_num, 1.d0 &
@ -132,6 +135,7 @@ BEGIN_PROVIDER [ double precision, mo_r_coef, (ao_num, mo_num) ]
mo_r_coef(j,i) = mo_coef(j,i)
enddo
enddo
call ezfio_set_bi_ortho_mos_mo_r_coef(mo_r_coef)
endif
END_PROVIDER
@ -187,6 +191,7 @@ BEGIN_PROVIDER [ double precision, mo_l_coef, (ao_num, mo_num) ]
mo_l_coef(j,i) = mo_coef(j,i)
enddo
enddo
call ezfio_set_bi_ortho_mos_mo_l_coef(mo_l_coef)
endif
END_PROVIDER

90
src/bi_ortho_mos/overlap.irp.f
View File

@ -12,32 +12,27 @@
double precision :: accu_d, accu_nd
double precision, allocatable :: tmp(:,:)
! TODO : re do the DEGEMM
! overlap_bi_ortho = 0.d0
! do i = 1, mo_num
! do k = 1, mo_num
! do m = 1, ao_num
! do n = 1, ao_num
! overlap_bi_ortho(k,i) += ao_overlap(n,m) * mo_l_coef(n,k) * mo_r_coef(m,i)
! enddo
! enddo
! enddo
! enddo
overlap_bi_ortho = 0.d0
do i = 1, mo_num
do k = 1, mo_num
do m = 1, ao_num
do n = 1, ao_num
overlap_bi_ortho(k,i) += ao_overlap(n,m) * mo_l_coef(n,k) * mo_r_coef(m,i)
enddo
enddo
enddo
enddo
! allocate( tmp(mo_num,ao_num) )
!
! ! tmp <-- L.T x S_ao
! call dgemm( "T", "N", mo_num, ao_num, ao_num, 1.d0 &
! , mo_l_coef, size(mo_l_coef, 1), ao_overlap, size(ao_overlap, 1) &
! , 0.d0, tmp, size(tmp, 1) )
!
! ! S <-- tmp x R
! call dgemm( "N", "N", mo_num, mo_num, ao_num, 1.d0 &
! , tmp, size(tmp, 1), mo_r_coef, size(mo_r_coef, 1) &
! , 0.d0, overlap_bi_ortho, size(overlap_bi_ortho, 1) )
!
! deallocate( tmp )
allocate( tmp(mo_num,ao_num) )
! tmp <-- L.T x S_ao
call dgemm( "T", "N", mo_num, ao_num, ao_num, 1.d0 &
, mo_l_coef(1,1), size(mo_l_coef, 1), ao_overlap(1,1), size(ao_overlap, 1) &
, 0.d0, tmp(1,1), size(tmp, 1) )
! S <-- tmp x R
call dgemm( "N", "N", mo_num, mo_num, ao_num, 1.d0 &
, tmp(1,1), size(tmp, 1), mo_r_coef(1,1), size(mo_r_coef, 1) &
, 0.d0, overlap_bi_ortho(1,1), size(overlap_bi_ortho, 1) )
deallocate(tmp)
do i = 1, mo_num
overlap_diag_bi_ortho(i) = overlap_bi_ortho(i,i)
@ -85,19 +80,40 @@ END_PROVIDER
implicit none
integer :: i, j, p, q
double precision, allocatable :: tmp(:,:)
overlap_mo_r = 0.d0
overlap_mo_l = 0.d0
do i = 1, mo_num
do j = 1, mo_num
do p = 1, ao_num
do q = 1, ao_num
overlap_mo_r(j,i) += mo_r_coef(q,i) * mo_r_coef(p,j) * ao_overlap(q,p)
overlap_mo_l(j,i) += mo_l_coef(q,i) * mo_l_coef(p,j) * ao_overlap(q,p)
enddo
enddo
enddo
enddo
!overlap_mo_r = 0.d0
!overlap_mo_l = 0.d0
!do i = 1, mo_num
! do j = 1, mo_num
! do p = 1, ao_num
! do q = 1, ao_num
! overlap_mo_r(j,i) += mo_r_coef(q,i) * mo_r_coef(p,j) * ao_overlap(q,p)
! overlap_mo_l(j,i) += mo_l_coef(q,i) * mo_l_coef(p,j) * ao_overlap(q,p)
! enddo
! enddo
! enddo
!enddo
allocate( tmp(mo_num,ao_num) )
tmp = 0.d0
call dgemm( "T", "N", mo_num, ao_num, ao_num, 1.d0 &
, mo_r_coef(1,1), size(mo_r_coef, 1), ao_overlap(1,1), size(ao_overlap, 1) &
, 0.d0, tmp(1,1), size(tmp, 1) )
call dgemm( "N", "N", mo_num, mo_num, ao_num, 1.d0 &
, tmp(1,1), size(tmp, 1), mo_r_coef(1,1), size(mo_r_coef, 1) &
, 0.d0, overlap_mo_r(1,1), size(overlap_mo_r, 1) )
tmp = 0.d0
call dgemm( "T", "N", mo_num, ao_num, ao_num, 1.d0 &
, mo_l_coef(1,1), size(mo_l_coef, 1), ao_overlap(1,1), size(ao_overlap, 1) &
, 0.d0, tmp(1,1), size(tmp, 1) )
call dgemm( "N", "N", mo_num, mo_num, ao_num, 1.d0 &
, tmp(1,1), size(tmp, 1), mo_l_coef(1,1), size(mo_l_coef, 1) &
, 0.d0, overlap_mo_l(1,1), size(overlap_mo_l, 1) )
deallocate(tmp)
END_PROVIDER

49
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#!/usr/bin/env bats
source $QP_ROOT/tests/bats/common.bats.sh
source $QP_ROOT/quantum_package.rc
function run_stoch() {
thresh=$2
test_exe casscf || skip
qp set perturbation do_pt2 True
qp set determinants n_det_max $3
qp set davidson threshold_davidson 1.e-10
qp set davidson n_states_diag 4
qp run casscf | tee casscf.out
energy1="$(ezfio get casscf energy_pt2 | tr '[]' ' ' | cut -d ',' -f 1)"
eq $energy1 $1 $thresh
}
@test "F2" { # 18.0198s
rm -rf f2_casscf
qp_create_ezfio -b aug-cc-pvdz ../input/f2.zmt -o f2_casscf
qp set_file f2_casscf
qp run scf
qp set_mo_class --core="[1-6,8-9]" --act="[7,10]" --virt="[11-46]"
run_stoch -198.773366970 1.e-4 100000
}
@test "N2" { # 18.0198s
rm -rf n2_casscf
qp_create_ezfio -b aug-cc-pvdz ../input/n2.xyz -o n2_casscf
qp set_file n2_casscf
qp run scf
qp set_mo_class --core="[1-4]" --act="[5-10]" --virt="[11-46]"
run_stoch -109.0961643162 1.e-4 100000
}
@test "N2_stretched" {
rm -rf n2_stretched_casscf
qp_create_ezfio -b aug-cc-pvdz -m 7 ../input/n2_stretched.xyz -o n2_stretched_casscf
qp set_file n2_stretched_casscf
qp run scf | tee scf.out
qp set_mo_class --core="[1-4]" --act="[5-10]" --virt="[11-46]"
qp set electrons elec_alpha_num 7
qp set electrons elec_beta_num 7
run_stoch -108.7860471300 1.e-4 100000
#
}

81
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[energy]
type: double precision
doc: Calculated Selected |FCI| energy
interface: ezfio
size: (determinants.n_states)
[energy_pt2]
type: double precision
doc: Calculated |FCI| energy + |PT2|
interface: ezfio
size: (determinants.n_states)
[state_following_casscf]
type: logical
doc: If |true|, the CASSCF will try to follow the guess CI vector and orbitals
interface: ezfio,provider,ocaml
default: False
[diag_hess_cas]
type: logical
doc: If |true|, only the DIAGONAL part of the hessian is retained for the CASSCF
interface: ezfio,provider,ocaml
default: False
[hess_cv_cv]
type: logical
doc: If |true|, the core-virtual - core-virtual part of the hessian is computed
interface: ezfio,provider,ocaml
default: True
[level_shift_casscf]
type: Positive_float
doc: Energy shift on the virtual MOs to improve SCF convergence
interface: ezfio,provider,ocaml
default: 0.005
[fast_2rdm]
type: logical
doc: If true, the two-rdm are computed with a fast algo
interface: ezfio,provider,ocaml
default: True
[criterion_casscf]
type: character*(32)
doc: choice of the criterion for the convergence of the casscf: can be energy or gradients or e_pt2
interface: ezfio, provider, ocaml
default: e_pt2
[thresh_casscf]
type: Threshold
doc: Threshold on the convergence of the CASCF energy.
interface: ezfio,provider,ocaml
default: 1.e-06
[pt2_min_casscf]
type: Threshold
doc: Minimum value of the pt2_max parameter for the CIPSI in the CASSCF iterations.
interface: ezfio,provider,ocaml
default: 1.e-04
[n_big_act_orb]
type: integer
doc: Number of active orbitals from which the active space is considered as large, and therefore pt2_min_casscf is activated.
interface: ezfio,provider,ocaml
default: 16
[adaptive_pt2_max]
type: logical
doc: If |true|, the pt2_max value in the CIPSI iterations will automatically adapt, otherwise it is fixed at the value given in the EZFIO folder
interface: ezfio,provider,ocaml
default: True
[small_active_space]
type: logical
doc: If |true|, the pt2_max value in the CIPSI is set to 10-10 and will not change
interface: ezfio,provider,ocaml
default: False

5
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cipsi
selectors_full
generators_cas
two_body_rdm
dav_general_mat

47
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@ -0,0 +1,47 @@
======
casscf
======
|CASSCF| program with the CIPSI algorithm.
Example of inputs
-----------------
a) Small active space : standard CASSCF
---------------------------------------
Let's do O2 (triplet) in aug-cc-pvdz with the following geometry (xyz format, Bohr units)
3
O 0.0000000000 0.0000000000 -1.1408000000
O 0.0000000000 0.0000000000 1.1408000000
# Create the ezfio folder
qp create_ezfio -b aug-cc-pvdz O2.xyz -m 3 -a -o O2_avdz
# Start with an ROHF guess
qp run scf | tee ${EZFIO_FILE}.rohf.out
# Get the ROHF energy for check
qp get hartree_fock energy # should be -149.4684509
# Define the full valence active space: the two 1s are doubly occupied, the other 8 valence orbitals are active
# CASSCF(12e,10orb)
qp set_mo_class -c "[1-2]" -a "[3-10]" -v "[11-46]"
# Specify that you want an near exact CASSCF, i.e. the CIPSI selection will stop at pt2_max = 10^-10
qp set casscf_cipsi small_active_space True
# RUN THE CASSCF
qp run casscf | tee ${EZFIO_FILE}.casscf.out
# you should find around -149.7243542
b) Large active space : Exploit the selected CI in the active space
-------------------------------------------------------------------
#Let us start from the small active space calculation orbitals and add another 10 virtuals: CASSCF(12e,20orb)
qp set_mo_class -c "[1-2]" -a "[3-20]" -v "[21-46]"
# As this active space is larger, you unset the small_active_space feature
qp set casscf_cipsi small_active_space False
# As it is a large active space, the energy convergence thereshold is set to be 0.0001
qp run casscf | tee ${EZFIO_FILE}.casscf_large.out
# you should find around -149.9046

6
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! -*- F90 -*-
BEGIN_PROVIDER [logical, bavard]
! bavard=.true.
bavard=.false.
END_PROVIDER

155
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BEGIN_PROVIDER [real*8, bielec_PQxx, (mo_num, mo_num,n_core_inact_act_orb,n_core_inact_act_orb)]
BEGIN_DOC
! bielec_PQxx : integral (pq|xx) with p,q arbitrary, x core or active
! indices are unshifted orbital numbers
END_DOC
implicit none
integer :: i,j,ii,jj,p,q,i3,j3,t3,v3
real*8 :: mo_two_e_integral
bielec_PQxx(:,:,:,:) = 0.d0
PROVIDE mo_two_e_integrals_in_map
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,ii,j,jj,i3,j3) &
!$OMP SHARED(n_core_inact_orb,list_core_inact,mo_num,bielec_PQxx, &
!$OMP n_act_orb,mo_integrals_map,list_act)
!$OMP DO
do i=1,n_core_inact_orb
ii=list_core_inact(i)
do j=i,n_core_inact_orb
jj=list_core_inact(j)
call get_mo_two_e_integrals_i1j1(ii,jj,mo_num,bielec_PQxx(1,1,i,j),mo_integrals_map)
bielec_PQxx(:,:,j,i)=bielec_PQxx(:,:,i,j)
end do
do j=1,n_act_orb
jj=list_act(j)
j3=j+n_core_inact_orb
call get_mo_two_e_integrals_i1j1(ii,jj,mo_num,bielec_PQxx(1,1,i,j3),mo_integrals_map)
bielec_PQxx(:,:,j3,i)=bielec_PQxx(:,:,i,j3)
end do
end do
!$OMP END DO
!$OMP DO
do i=1,n_act_orb
ii=list_act(i)
i3=i+n_core_inact_orb
do j=i,n_act_orb
jj=list_act(j)
j3=j+n_core_inact_orb
call get_mo_two_e_integrals_i1j1(ii,jj,mo_num,bielec_PQxx(1,1,i3,j3),mo_integrals_map)
bielec_PQxx(:,:,j3,i3)=bielec_PQxx(:,:,i3,j3)
end do
end do
!$OMP END DO
!$OMP END PARALLEL
END_PROVIDER
BEGIN_PROVIDER [real*8, bielec_PxxQ, (mo_num,n_core_inact_act_orb,n_core_inact_act_orb, mo_num)]
BEGIN_DOC
! bielec_PxxQ : integral (px|xq) with p,q arbitrary, x core or active
! indices are unshifted orbital numbers
END_DOC
implicit none
integer :: i,j,ii,jj,p,q,i3,j3,t3,v3
double precision, allocatable :: integrals_array(:,:)
real*8 :: mo_two_e_integral
PROVIDE mo_two_e_integrals_in_map
bielec_PxxQ = 0.d0
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(i,ii,j,jj,i3,j3,integrals_array) &
!$OMP SHARED(n_core_inact_orb,list_core_inact,mo_num,bielec_PxxQ, &
!$OMP n_act_orb,mo_integrals_map,list_act)
allocate(integrals_array(mo_num,mo_num))
!$OMP DO
do i=1,n_core_inact_orb
ii=list_core_inact(i)
do j=i,n_core_inact_orb
jj=list_core_inact(j)
call get_mo_two_e_integrals_ij(ii,jj,mo_num,integrals_array,mo_integrals_map)
do q=1,mo_num
do p=1,mo_num
bielec_PxxQ(p,i,j,q)=integrals_array(p,q)
bielec_PxxQ(p,j,i,q)=integrals_array(q,p)
end do
end do
end do
do j=1,n_act_orb
jj=list_act(j)
j3=j+n_core_inact_orb
call get_mo_two_e_integrals_ij(ii,jj,mo_num,integrals_array,mo_integrals_map)
do q=1,mo_num
do p=1,mo_num
bielec_PxxQ(p,i,j3,q)=integrals_array(p,q)
bielec_PxxQ(p,j3,i,q)=integrals_array(q,p)
end do
end do
end do
end do
!$OMP END DO
! (ip|qj)
!$OMP DO
do i=1,n_act_orb
ii=list_act(i)
i3=i+n_core_inact_orb
do j=i,n_act_orb
jj=list_act(j)
j3=j+n_core_inact_orb
call get_mo_two_e_integrals_ij(ii,jj,mo_num,integrals_array,mo_integrals_map)
do q=1,mo_num
do p=1,mo_num
bielec_PxxQ(p,i3,j3,q)=integrals_array(p,q)
bielec_PxxQ(p,j3,i3,q)=integrals_array(q,p)
end do
end do
end do
end do
!$OMP END DO
deallocate(integrals_array)
!$OMP END PARALLEL
END_PROVIDER
BEGIN_PROVIDER [real*8, bielecCI, (n_act_orb,n_act_orb,n_act_orb, mo_num)]
BEGIN_DOC
! bielecCI : integrals (tu|vp) with p arbitrary, tuv active
! index p runs over the whole basis, t,u,v only over the active orbitals
END_DOC
implicit none
integer :: i,j,k,p,t,u,v
double precision, external :: mo_two_e_integral
PROVIDE mo_two_e_integrals_in_map
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP PRIVATE(i,j,k,p,t,u,v) &
!$OMP SHARED(mo_num,n_act_orb,list_act,bielecCI)
do p=1,mo_num
do j=1,n_act_orb
u=list_act(j)
do k=1,n_act_orb
v=list_act(k)
do i=1,n_act_orb
t=list_act(i)
bielecCI(i,k,j,p) = mo_two_e_integral(t,u,v,p)
end do
end do
end do
end do
!$OMP END PARALLEL DO
END_PROVIDER

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BEGIN_PROVIDER [real*8, bielec_PQxx_no, (mo_num, mo_num,n_core_inact_act_orb,n_core_inact_act_orb)]
BEGIN_DOC
! integral (pq|xx) in the basis of natural MOs
! indices are unshifted orbital numbers
END_DOC
implicit none
integer :: i,j,k,l,t,u,p,q
double precision, allocatable :: f(:,:,:), d(:,:,:)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(j,k,l,p,d,f) &
!$OMP SHARED(n_core_inact_act_orb,mo_num,n_act_orb,n_core_inact_orb, &
!$OMP bielec_PQxx_no,bielec_PQxx,list_act,natorbsCI)
allocate (f(n_act_orb,mo_num,n_core_inact_act_orb), &
d(n_act_orb,mo_num,n_core_inact_act_orb))
!$OMP DO
do l=1,n_core_inact_act_orb
bielec_PQxx_no(:,:,:,l) = bielec_PQxx(:,:,:,l)
do k=1,n_core_inact_act_orb
do j=1,mo_num
do p=1,n_act_orb
f(p,j,k)=bielec_PQxx_no(list_act(p),j,k,l)
end do
end do
end do
call dgemm('T','N',n_act_orb,mo_num*n_core_inact_act_orb,n_act_orb,1.d0, &
natorbsCI, size(natorbsCI,1), &
f, n_act_orb, &
0.d0, &
d, n_act_orb)
do k=1,n_core_inact_act_orb
do j=1,mo_num
do p=1,n_act_orb
bielec_PQxx_no(list_act(p),j,k,l)=d(p,j,k)
end do
end do
do j=1,mo_num
do p=1,n_act_orb
f(p,j,k)=bielec_PQxx_no(j,list_act(p),k,l)
end do
end do
end do
call dgemm('T','N',n_act_orb,mo_num*n_core_inact_act_orb,n_act_orb,1.d0, &
natorbsCI, n_act_orb, &
f, n_act_orb, &
0.d0, &
d, n_act_orb)
do k=1,n_core_inact_act_orb
do p=1,n_act_orb
do j=1,mo_num
bielec_PQxx_no(j,list_act(p),k,l)=d(p,j,k)
end do
end do
end do
end do
!$OMP END DO NOWAIT
deallocate (f,d)
allocate (f(mo_num,mo_num,n_act_orb),d(mo_num,mo_num,n_act_orb))
!$OMP DO
do l=1,n_core_inact_act_orb
do p=1,n_act_orb
do k=1,mo_num
do j=1,mo_num
f(j,k,p) = bielec_PQxx_no(j,k,n_core_inact_orb+p,l)
end do
end do
end do
call dgemm('N','N',mo_num*mo_num,n_act_orb,n_act_orb,1.d0, &
f, mo_num*mo_num, &
natorbsCI, n_act_orb, &
0.d0, &
d, mo_num*mo_num)
do p=1,n_act_orb
do k=1,mo_num
do j=1,mo_num
bielec_PQxx_no(j,k,n_core_inact_orb+p,l)=d(j,k,p)
end do
end do
end do
end do
!$OMP END DO NOWAIT
!$OMP BARRIER
!$OMP DO
do l=1,n_core_inact_act_orb
do p=1,n_act_orb
do k=1,mo_num
do j=1,mo_num
f(j,k,p) = bielec_PQxx_no(j,k,l,n_core_inact_orb+p)
end do
end do
end do
call dgemm('N','N',mo_num*mo_num,n_act_orb,n_act_orb,1.d0, &
f, mo_num*mo_num, &
natorbsCI, n_act_orb, &
0.d0, &
d, mo_num*mo_num)
do p=1,n_act_orb
do k=1,mo_num
do j=1,mo_num
bielec_PQxx_no(j,k,l,n_core_inact_orb+p)=d(j,k,p)
end do
end do
end do
end do
!$OMP END DO
deallocate (f,d)
!$OMP END PARALLEL
END_PROVIDER
BEGIN_PROVIDER [real*8, bielec_PxxQ_no, (mo_num,n_core_inact_act_orb,n_core_inact_act_orb, mo_num)]
BEGIN_DOC
! integral (px|xq) in the basis of natural MOs
! indices are unshifted orbital numbers
END_DOC
implicit none
integer :: i,j,k,l,t,u,p,q
double precision, allocatable :: f(:,:,:), d(:,:,:)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(j,k,l,p,d,f) &
!$OMP SHARED(n_core_inact_act_orb,mo_num,n_act_orb,n_core_inact_orb, &
!$OMP bielec_PxxQ_no,bielec_PxxQ,list_act,natorbsCI)
allocate (f(n_act_orb,n_core_inact_act_orb,n_core_inact_act_orb), &
d(n_act_orb,n_core_inact_act_orb,n_core_inact_act_orb))
!$OMP DO
do j=1,mo_num
bielec_PxxQ_no(:,:,:,j) = bielec_PxxQ(:,:,:,j)
do l=1,n_core_inact_act_orb
do k=1,n_core_inact_act_orb
do p=1,n_act_orb
f(p,k,l) = bielec_PxxQ_no(list_act(p),k,l,j)
end do
end do
end do
call dgemm('T','N',n_act_orb,n_core_inact_act_orb**2,n_act_orb,1.d0, &
natorbsCI, size(natorbsCI,1), &
f, n_act_orb, &
0.d0, &
d, n_act_orb)
do l=1,n_core_inact_act_orb
do k=1,n_core_inact_act_orb
do p=1,n_act_orb
bielec_PxxQ_no(list_act(p),k,l,j)=d(p,k,l)
end do
end do
end do
end do
!$OMP END DO NOWAIT
deallocate (f,d)
allocate (f(n_act_orb,mo_num,n_core_inact_act_orb), &
d(n_act_orb,mo_num,n_core_inact_act_orb))
!$OMP DO
do k=1,mo_num
do l=1,n_core_inact_act_orb
do j=1,mo_num
do p=1,n_act_orb
f(p,j,l) = bielec_PxxQ_no(j,n_core_inact_orb+p,l,k)
end do
end do
end do
call dgemm('T','N',n_act_orb,mo_num*n_core_inact_act_orb,n_act_orb,1.d0, &
natorbsCI, size(natorbsCI,1), &
f, n_act_orb, &
0.d0, &
d, n_act_orb)
do l=1,n_core_inact_act_orb
do j=1,mo_num
do p=1,n_act_orb
bielec_PxxQ_no(j,n_core_inact_orb+p,l,k)=d(p,j,l)
end do
end do
end do
end do
!$OMP END DO NOWAIT
deallocate(f,d)
allocate(f(mo_num,n_core_inact_act_orb,n_act_orb), &
d(mo_num,n_core_inact_act_orb,n_act_orb) )
!$OMP DO
do k=1,mo_num
do p=1,n_act_orb
do l=1,n_core_inact_act_orb
do j=1,mo_num
f(j,l,p) = bielec_PxxQ_no(j,l,n_core_inact_orb+p,k)
end do
end do
end do
call dgemm('N','N',mo_num*n_core_inact_act_orb,n_act_orb,n_act_orb,1.d0, &
f, mo_num*n_core_inact_act_orb, &
natorbsCI, size(natorbsCI,1), &
0.d0, &
d, mo_num*n_core_inact_act_orb)
do p=1,n_act_orb
do l=1,n_core_inact_act_orb
do j=1,mo_num
bielec_PxxQ_no(j,l,n_core_inact_orb+p,k)=d(j,l,p)
end do
end do
end do
end do
!$OMP END DO NOWAIT
!$OMP BARRIER
!$OMP DO
do l=1,n_core_inact_act_orb
do p=1,n_act_orb
do k=1,n_core_inact_act_orb
do j=1,mo_num
f(j,k,p) = bielec_PxxQ_no(j,k,l,n_core_inact_orb+p)
end do
end do
end do
call dgemm('N','N',mo_num*n_core_inact_act_orb,n_act_orb,n_act_orb,1.d0, &
f, mo_num*n_core_inact_act_orb, &
natorbsCI, size(natorbsCI,1), &
0.d0, &
d, mo_num*n_core_inact_act_orb)
do p=1,n_act_orb
do k=1,n_core_inact_act_orb
do j=1,mo_num
bielec_PxxQ_no(j,k,l,n_core_inact_orb+p)=d(j,k,p)
end do
end do
end do
end do
!$OMP END DO NOWAIT
deallocate(f,d)
!$OMP END PARALLEL
END_PROVIDER
BEGIN_PROVIDER [real*8, bielecCI_no, (n_act_orb,n_act_orb,n_act_orb, mo_num)]
BEGIN_DOC
! integrals (tu|vp) in the basis of natural MOs
! index p runs over the whole basis, t,u,v only over the active orbitals
END_DOC
implicit none
integer :: i,j,k,l,t,u,p,q
double precision, allocatable :: f(:,:,:), d(:,:,:)
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP PRIVATE(j,k,l,p,d,f) &
!$OMP SHARED(n_core_inact_act_orb,mo_num,n_act_orb,n_core_inact_orb, &
!$OMP bielecCI_no,bielecCI,list_act,natorbsCI)
allocate (f(n_act_orb,n_act_orb,mo_num), &
d(n_act_orb,n_act_orb,mo_num))
!$OMP DO
do l=1,mo_num
bielecCI_no(:,:,:,l) = bielecCI(:,:,:,l)
do k=1,n_act_orb
do j=1,n_act_orb
do p=1,n_act_orb
f(p,j,k)=bielecCI_no(p,j,k,l)
end do
end do
end do
call dgemm('T','N',n_act_orb,n_act_orb*n_act_orb,n_act_orb,1.d0, &
natorbsCI, size(natorbsCI,1), &
f, n_act_orb, &
0.d0, &
d, n_act_orb)
do k=1,n_act_orb
do j=1,n_act_orb
do p=1,n_act_orb
bielecCI_no(p,j,k,l)=d(p,j,k)
end do
end do
do j=1,n_act_orb
do p=1,n_act_orb
f(p,j,k)=bielecCI_no(j,p,k,l)
end do
end do
end do
call dgemm('T','N',n_act_orb,n_act_orb*n_act_orb,n_act_orb,1.d0, &
natorbsCI, n_act_orb, &
f, n_act_orb, &
0.d0, &
d, n_act_orb)
do k=1,n_act_orb
do p=1,n_act_orb
do j=1,n_act_orb
bielecCI_no(j,p,k,l)=d(p,j,k)
end do
end do
end do
do p=1,n_act_orb
do k=1,n_act_orb
do j=1,n_act_orb
f(j,k,p)=bielecCI_no(j,k,p,l)
end do
end do
end do
call dgemm('N','N',n_act_orb*n_act_orb,n_act_orb,n_act_orb,1.d0, &
f, n_act_orb*n_act_orb, &
natorbsCI, n_act_orb, &
0.d0, &
d, n_act_orb*n_act_orb)
do p=1,n_act_orb
do k=1,n_act_orb
do j=1,n_act_orb
bielecCI_no(j,k,p,l)=d(j,k,p)
end do
end do
end do
end do
!$OMP END DO
!$OMP DO
do l=1,n_act_orb
do p=1,n_act_orb
do k=1,n_act_orb
do j=1,n_act_orb
f(j,k,p)=bielecCI_no(j,k,l,list_act(p))
end do
end do
end do
call dgemm('N','N',n_act_orb*n_act_orb,n_act_orb,n_act_orb,1.d0, &
f, n_act_orb*n_act_orb, &
natorbsCI, n_act_orb, &
0.d0, &
d, n_act_orb*n_act_orb)
do p=1,n_act_orb
do k=1,n_act_orb
do j=1,n_act_orb
bielecCI_no(j,k,l,list_act(p))=d(j,k,p)
end do
end do
end do
end do
!$OMP END DO
deallocate(d,f)
!$OMP END PARALLEL
END_PROVIDER

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program casscf
implicit none
BEGIN_DOC
! TODO : Put the documentation of the program here
END_DOC
call reorder_orbitals_for_casscf
! no_vvvv_integrals = .True.
! touch no_vvvv_integrals
n_det_max_full = 500
touch n_det_max_full
if(small_active_space)then
pt2_relative_error = 0.00001
else
thresh_scf = 1.d-4
pt2_relative_error = 0.04
endif
touch pt2_relative_error
call run
end
subroutine run
implicit none
double precision :: energy_old, energy, pt2_max_before,delta_E
logical :: converged,state_following_casscf_cipsi_save
integer :: iteration,istate
double precision, allocatable :: E_PT2(:), PT2(:), Ev(:), ept2_before(:)
allocate(E_PT2(N_states), PT2(N_states), Ev(N_states), ept2_before(N_states))
converged = .False.
energy = 0.d0
mo_label = "MCSCF"
iteration = 1
state_following_casscf_cipsi_save = state_following_casscf
state_following_casscf = .True.
touch state_following_casscf
ept2_before = 0.d0
if(small_active_space)then
pt2_max = 1.d-10
SOFT_TOUCH pt2_max
else
if(adaptive_pt2_max)then
pt2_max = 0.005
SOFT_TOUCH pt2_max
endif
endif
do while (.not.converged)
print*,'pt2_max = ',pt2_max
call run_stochastic_cipsi(Ev,PT2)
print*,'Ev,PT2',Ev(1),PT2(1)
E_PT2(1:N_states) = Ev(1:N_states) + PT2(1:N_states)
energy_old = energy
energy = eone+etwo+ecore
pt2_max_before = pt2_max
call write_time(6)
call write_int(6,iteration,'CAS-SCF iteration = ')
call write_double(6,energy,'CAS-SCF energy = ')
! if(n_states == 1)then
! call ezfio_get_casscf_cipsi_energy_pt2(E_PT2)
! call ezfio_get_casscf_cipsi_energy(PT2)
call write_double(6,E_PT2(1:N_states),'E + PT2 energy = ')
call write_double(6,PT2(1:N_states),' PT2 = ')
call write_double(6,pt2_max,' PT2_MAX = ')
! endif
print*,''
call write_double(6,norm_grad_vec2,'Norm of gradients = ')
call write_double(6,norm_grad_vec2_tab(1), ' Core-active gradients = ')
call write_double(6,norm_grad_vec2_tab(2), ' Core-virtual gradients = ')
call write_double(6,norm_grad_vec2_tab(3), ' Active-virtual gradients = ')
print*,''
call write_double(6,energy_improvement, 'Predicted energy improvement = ')
if(criterion_casscf == "energy")then
converged = dabs(energy_improvement) < thresh_scf
else if (criterion_casscf == "gradients")then
converged = norm_grad_vec2 < thresh_scf
else if (criterion_casscf == "e_pt2")then
delta_E = 0.d0
do istate = 1, N_states
delta_E += dabs(E_PT2(istate) - ept2_before(istate))
enddo
converged = dabs(delta_E) < thresh_casscf
endif
ept2_before = E_PT2
if(.not.small_active_space)then
if(adaptive_pt2_max)then
pt2_max = dabs(energy_improvement / (pt2_relative_error))
pt2_max = min(pt2_max, pt2_max_before)
if(n_act_orb.ge.n_big_act_orb)then
pt2_max = max(pt2_max,pt2_min_casscf)
endif
endif
endif
print*,''
call write_double(6,pt2_max, 'PT2_MAX for next iteration = ')
mo_coef = NewOrbs
mo_occ = occnum
call save_mos
if(.not.converged)then
iteration += 1
if(norm_grad_vec2.gt.0.01d0)then
N_det = N_states
else
N_det = max(N_det/8 ,N_states)
endif
psi_det = psi_det_sorted
psi_coef = psi_coef_sorted
read_wf = .True.
call clear_mo_map
SOFT_TOUCH mo_coef N_det psi_det psi_coef
if(.not.small_active_space)then
if(adaptive_pt2_max)then
SOFT_TOUCH pt2_max
endif
endif
if(iteration .gt. 3)then
state_following_casscf = state_following_casscf_cipsi_save
soft_touch state_following_casscf
endif
endif
enddo
integer :: i
print*,'Converged CASSCF '
print*,'--------------------------'
write(6,*) ' occupation numbers of orbitals '
do i=1,mo_num
write(6,*) i,occnum(i)
end do
print*,'--------------'
!
! write(6,*)
! write(6,*) ' the diagonal of the inactive effective Fock matrix '
! write(6,'(5(i3,F12.5))') (i,Fipq(i,i),i=1,mo_num)
! write(6,*)
print*,'Fock MCSCF'
do i = 1, mo_num
write(*,*)i,mcscf_fock_diag_mo(i)
! write(*,*)mcscf_fock_alpha_mo(i,i)
enddo
end

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BEGIN_PROVIDER [ logical, do_only_1h1p ]
&BEGIN_PROVIDER [ logical, do_only_cas ]
&BEGIN_PROVIDER [ logical, do_ddci ]
implicit none
BEGIN_DOC
! In the CAS case, all those are always false except do_only_cas
END_DOC
do_only_cas = .True.
do_only_1h1p = .False.
do_ddci = .False.
END_PROVIDER

45
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subroutine davidson_diag_sx_mat(N_st, u_in, energies)
implicit none
integer, intent(in) :: N_st
double precision, intent(out) :: u_in(nMonoEx+1,n_states_diag), energies(N_st)
integer :: i,j,N_st_tmp, dim_in, sze, N_st_diag_in
integer, allocatable :: list_guess(:)
double precision, allocatable :: H_jj(:)
logical :: converged
N_st_diag_in = n_states_diag
provide SXmatrix
sze = nMonoEx+1
dim_in = sze
allocate(H_jj(sze), list_guess(sze))
H_jj(1) = 0.d0
N_st_tmp = 1
list_guess(1) = 1
do j = 2, nMonoEx+1
H_jj(j) = SXmatrix(j,j)
if(H_jj(j).lt.0.d0)then
list_guess(N_st_tmp) = j
N_st_tmp += 1
endif
enddo
if(N_st_tmp .ne. N_st)then
print*,'Pb in davidson_diag_sx_mat'
print*,'N_st_tmp .ne. N_st'
print*,N_st_tmp, N_st
stop
endif
print*,'Number of possibly interesting states = ',N_st
print*,'Corresponding diagonal elements of the SX matrix '
u_in = 0.d0
do i = 1, min(N_st, N_st_diag_in)
! do i = 1, N_st
j = list_guess(i)
print*,'i,j',i,j
print*,'SX(i,i) = ',H_jj(j)
u_in(j,i) = 1.d0
enddo
call davidson_general(u_in,H_jj,energies,dim_in,sze,N_st,N_st_diag_in,converged,SXmatrix)
print*,'energies = ',energies
end

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use bitmasks
BEGIN_PROVIDER [real*8, D0tu, (n_act_orb,n_act_orb) ]
implicit none
BEGIN_DOC
! the first-order density matrix in the basis of the starting MOs.
! matrix is state averaged.
END_DOC
integer :: t,u
do u=1,n_act_orb
do t=1,n_act_orb
D0tu(t,u) = one_e_dm_mo_alpha_average( list_act(t), list_act(u) ) + &
one_e_dm_mo_beta_average ( list_act(t), list_act(u) )
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [double precision, D0tu_alpha_ao, (ao_num, ao_num)]
&BEGIN_PROVIDER [double precision, D0tu_beta_ao, (ao_num, ao_num)]
implicit none
integer :: i,ii,j,u,t,uu,tt
double precision, allocatable :: D0_tmp_alpha(:,:),D0_tmp_beta(:,:)
allocate(D0_tmp_alpha(mo_num, mo_num),D0_tmp_beta(mo_num, mo_num))
D0_tmp_beta = 0.d0
D0_tmp_alpha = 0.d0
do i = 1, n_core_inact_orb
ii = list_core_inact(i)
D0_tmp_alpha(ii,ii) = 1.d0
D0_tmp_beta(ii,ii) = 1.d0
enddo
print*,'Diagonal elements of the 1RDM in the active space'
do u=1,n_act_orb
uu = list_act(u)
print*,uu,one_e_dm_mo_alpha_average(uu,uu),one_e_dm_mo_beta_average(uu,uu)
do t=1,n_act_orb
tt = list_act(t)
D0_tmp_alpha(tt,uu) = one_e_dm_mo_alpha_average(tt,uu)
D0_tmp_beta(tt,uu) = one_e_dm_mo_beta_average(tt,uu)
enddo
enddo
call mo_to_ao_no_overlap(D0_tmp_alpha,mo_num,D0tu_alpha_ao,ao_num)
call mo_to_ao_no_overlap(D0_tmp_beta,mo_num,D0tu_beta_ao,ao_num)
END_PROVIDER
BEGIN_PROVIDER [real*8, P0tuvx, (n_act_orb,n_act_orb,n_act_orb,n_act_orb) ]
BEGIN_DOC
! The second-order density matrix in the basis of the starting MOs ONLY IN THE RANGE OF ACTIVE MOS
! The values are state averaged
!
! We use the spin-free generators of mono-excitations
! E_pq destroys q and creates p
! D_pq = <0|E_pq|0> = D_qp
! P_pqrs = 1/2 <0|E_pq E_rs - delta_qr E_ps|0>
!
! P0tuvx(p,q,r,s) = chemist notation : 1/2 <0|E_pq E_rs - delta_qr E_ps|0>
END_DOC
implicit none
integer :: t,u,v,x
integer :: tt,uu,vv,xx
integer :: mu,nu,istate,ispin,jspin,ihole,ipart,jhole,jpart
integer :: ierr
real*8 :: phase1,phase11,phase12,phase2,phase21,phase22
integer :: nu1,nu2,nu11,nu12,nu21,nu22
integer :: ierr1,ierr2,ierr11,ierr12,ierr21,ierr22
real*8 :: cI_mu(N_states),term
integer(bit_kind), dimension(N_int,2) :: det_mu, det_mu_ex
integer(bit_kind), dimension(N_int,2) :: det_mu_ex1, det_mu_ex11, det_mu_ex12
integer(bit_kind), dimension(N_int,2) :: det_mu_ex2, det_mu_ex21, det_mu_ex22
if (bavard) then
write(6,*) ' providing the 2 body RDM on the active part'
endif
P0tuvx= 0.d0
if(fast_2rdm)then
do istate=1,N_states
do x = 1, n_act_orb
do v = 1, n_act_orb
do u = 1, n_act_orb
do t = 1, n_act_orb
! 1 1 2 2 1 2 1 2
P0tuvx(t,u,v,x) = 0.5d0 * state_av_act_2_rdm_spin_trace_mo(t,v,u,x)
enddo
enddo
enddo
enddo
enddo
else
P0tuvx = P0tuvx_peter
endif
END_PROVIDER

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use bitmasks
BEGIN_PROVIDER [real*8, P0tuvx_peter, (n_act_orb,n_act_orb,n_act_orb,n_act_orb) ]
BEGIN_DOC
! the second-order density matrix in the basis of the starting MOs
! matrices are state averaged
!
! we use the spin-free generators of mono-excitations
! E_pq destroys q and creates p
! D_pq = <0|E_pq|0> = D_qp
! P_pqrs = 1/2 <0|E_pq E_rs - delta_qr E_ps|0>
!
END_DOC
implicit none
integer :: t,u,v,x,mu,nu,istate,ispin,jspin,ihole,ipart,jhole,jpart
integer :: ierr
real*8 :: phase1,phase11,phase12,phase2,phase21,phase22
integer :: nu1,nu2,nu11,nu12,nu21,nu22
integer :: ierr1,ierr2,ierr11,ierr12,ierr21,ierr22
real*8 :: cI_mu(N_states),term
integer(bit_kind), dimension(N_int,2) :: det_mu, det_mu_ex
integer(bit_kind), dimension(N_int,2) :: det_mu_ex1, det_mu_ex11, det_mu_ex12
integer(bit_kind), dimension(N_int,2) :: det_mu_ex2, det_mu_ex21, det_mu_ex22
if (bavard) then
write(6,*) ' providing density matrix P0'
endif
P0tuvx_peter = 0.d0
! first loop: we apply E_tu, once for D_tu, once for -P_tvvu
do mu=1,n_det
call det_extract(det_mu,mu,N_int)
do istate=1,n_states
cI_mu(istate)=psi_coef(mu,istate)
end do
do t=1,n_act_orb
ipart=list_act(t)
do u=1,n_act_orb
ihole=list_act(u)
! apply E_tu
call det_copy(det_mu,det_mu_ex1,N_int)
call det_copy(det_mu,det_mu_ex2,N_int)
call do_spinfree_mono_excitation(det_mu,det_mu_ex1 &
,det_mu_ex2,nu1,nu2,ihole,ipart,phase1,phase2,ierr1,ierr2)
! det_mu_ex1 is in the list
if (nu1.ne.-1) then
do istate=1,n_states
term=cI_mu(istate)*psi_coef(nu1,istate)*phase1
! and we fill P0_tvvu
do v=1,n_act_orb
P0tuvx_peter(t,v,v,u)-=term
end do
end do
end if
! det_mu_ex2 is in the list
if (nu2.ne.-1) then
do istate=1,n_states
term=cI_mu(istate)*psi_coef(nu2,istate)*phase2
do v=1,n_act_orb
P0tuvx_peter(t,v,v,u)-=term
end do
end do
end if
end do
end do
end do
! now we do the double excitation E_tu E_vx |0>
do mu=1,n_det
call det_extract(det_mu,mu,N_int)
do istate=1,n_states
cI_mu(istate)=psi_coef(mu,istate)
end do
do v=1,n_act_orb
ipart=list_act(v)
do x=1,n_act_orb
ihole=list_act(x)
! apply E_vx
call det_copy(det_mu,det_mu_ex1,N_int)
call det_copy(det_mu,det_mu_ex2,N_int)
call do_spinfree_mono_excitation(det_mu,det_mu_ex1 &
,det_mu_ex2,nu1,nu2,ihole,ipart,phase1,phase2,ierr1,ierr2)
! we apply E_tu to the first resultant determinant, thus E_tu E_vx |0>
if (ierr1.eq.1) then
do t=1,n_act_orb
jpart=list_act(t)
do u=1,n_act_orb
jhole=list_act(u)
call det_copy(det_mu_ex1,det_mu_ex11,N_int)
call det_copy(det_mu_ex1,det_mu_ex12,N_int)
call do_spinfree_mono_excitation(det_mu_ex1,det_mu_ex11&
,det_mu_ex12,nu11,nu12,jhole,jpart,phase11,phase12,ierr11,ierr12)
if (nu11.ne.-1) then
do istate=1,n_states
P0tuvx_peter(t,u,v,x)+=cI_mu(istate)*psi_coef(nu11,istate)&
*phase11*phase1
end do
end if
if (nu12.ne.-1) then
do istate=1,n_states
P0tuvx_peter(t,u,v,x)+=cI_mu(istate)*psi_coef(nu12,istate)&
*phase12*phase1
end do
end if
end do
end do
end if
! we apply E_tu to the second resultant determinant
if (ierr2.eq.1) then
do t=1,n_act_orb
jpart=list_act(t)
do u=1,n_act_orb
jhole=list_act(u)
call det_copy(det_mu_ex2,det_mu_ex21,N_int)
call det_copy(det_mu_ex2,det_mu_ex22,N_int)
call do_spinfree_mono_excitation(det_mu_ex2,det_mu_ex21&
,det_mu_ex22,nu21,nu22,jhole,jpart,phase21,phase22,ierr21,ierr22)
if (nu21.ne.-1) then
do istate=1,n_states
P0tuvx_peter(t,u,v,x)+=cI_mu(istate)*psi_coef(nu21,istate)&
*phase21*phase2
end do
end if
if (nu22.ne.-1) then
do istate=1,n_states
P0tuvx_peter(t,u,v,x)+=cI_mu(istate)*psi_coef(nu22,istate)&
*phase22*phase2
end do
end if
end do
end do
end if
end do
end do
end do
! we average by just dividing by the number of states
do x=1,n_act_orb
do v=1,n_act_orb
do u=1,n_act_orb
do t=1,n_act_orb
P0tuvx_peter(t,u,v,x)*=0.5D0/dble(N_states)
end do
end do
end do
end do
END_PROVIDER

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use bitmasks
subroutine do_signed_mono_excitation(key1,key2,nu,ihole,ipart, &
ispin,phase,ierr)
BEGIN_DOC
! we create the mono-excitation, and determine, if possible,
! the phase and the number in the list of determinants
END_DOC
implicit none
integer(bit_kind) :: key1(N_int,2),key2(N_int,2)
integer(bit_kind), allocatable :: keytmp(:,:)
integer :: exc(0:2,2,2),ihole,ipart,ierr,nu,ispin
real*8 :: phase
logical :: found
allocate(keytmp(N_int,2))
nu=-1
phase=1.D0
ierr=0
call det_copy(key1,key2,N_int)
! write(6,*) ' key2 before excitation ',ihole,' -> ',ipart,' spin = ',ispin
! call print_det(key2,N_int)
call do_single_excitation(key2,ihole,ipart,ispin,ierr)
! write(6,*) ' key2 after ',ihole,' -> ',ipart,' spin = ',ispin
! call print_det(key2,N_int)
! write(6,*) ' excitation ',ihole,' -> ',ipart,' gives ierr = ',ierr
if (ierr.eq.1) then
! excitation is possible
! get the phase
call get_single_excitation(key1,key2,exc,phase,N_int)
! get the number in the list
found=.false.
nu=0
!TODO BOTTLENECK
do while (.not.found)
nu+=1
if (nu.gt.N_det) then
! the determinant is possible, but not in the list
found=.true.
nu=-1
else
call det_extract(keytmp,nu,N_int)
integer :: i,ii
found=.true.
do ii=1,2
do i=1,N_int
if (keytmp(i,ii).ne.key2(i,ii)) then
found=.false.
end if
end do
end do
end if
end do
end if
!
! we found the new string, the phase, and possibly the number in the list
!
end subroutine do_signed_mono_excitation
subroutine det_extract(key,nu,Nint)
BEGIN_DOC
! extract a determinant from the list of determinants
END_DOC
implicit none
integer :: ispin,i,nu,Nint
integer(bit_kind) :: key(Nint,2)
do ispin=1,2
do i=1,Nint
key(i,ispin)=psi_det(i,ispin,nu)
end do
end do
end subroutine det_extract
subroutine det_copy(key1,key2,Nint)
use bitmasks ! you need to include the bitmasks_module.f90 features
BEGIN_DOC
! copy a determinant from key1 to key2
END_DOC
implicit none
integer :: ispin,i,Nint
integer(bit_kind) :: key1(Nint,2),key2(Nint,2)
do ispin=1,2
do i=1,Nint
key2(i,ispin)=key1(i,ispin)
end do
end do
end subroutine det_copy
subroutine do_spinfree_mono_excitation(key_in,key_out1,key_out2 &
,nu1,nu2,ihole,ipart,phase1,phase2,ierr,jerr)
BEGIN_DOC
! we create the spin-free mono-excitation E_pq=(a^+_p a_q + a^+_P a_Q)
! we may create two determinants as result
!
END_DOC
implicit none
integer(bit_kind) :: key_in(N_int,2),key_out1(N_int,2)
integer(bit_kind) :: key_out2(N_int,2)
integer :: ihole,ipart,ierr,jerr,nu1,nu2
integer :: ispin
real*8 :: phase1,phase2
! write(6,*) ' applying E_',ipart,ihole,' on determinant '
! call print_det(key_in,N_int)
! spin alpha
ispin=1
call do_signed_mono_excitation(key_in,key_out1,nu1,ihole &
,ipart,ispin,phase1,ierr)
! if (ierr.eq.1) then
! write(6,*) ' 1 result is ',nu1,phase1
! call print_det(key_out1,N_int)
! end if
! spin beta
ispin=2
call do_signed_mono_excitation(key_in,key_out2,nu2,ihole &
,ipart,ispin,phase2,jerr)
! if (jerr.eq.1) then
! write(6,*) ' 2 result is ',nu2,phase2
! call print_det(key_out2,N_int)
! end if
end subroutine do_spinfree_mono_excitation

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subroutine driver_optorb
implicit none
end

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program print_2rdm
implicit none
BEGIN_DOC
! get the active part of the bielectronic energy on a given wave function.
!
! useful to test the active part of the spin trace 2 rdms
END_DOC
!no_vvvv_integrals = .True.
read_wf = .True.
!touch read_wf no_vvvv_integrals
!call routine
!call routine_bis
call print_grad
end
subroutine print_grad
implicit none
integer :: i
do i = 1, nMonoEx
if(dabs(gradvec2(i)).gt.1.d-5)then
print*,''
print*,i,gradvec2(i),excit(:,i)
endif
enddo
end
subroutine routine
integer :: i,j,k,l
integer :: ii,jj,kk,ll
double precision :: accu(4),twodm,thr,act_twodm2,integral,get_two_e_integral
thr = 1.d-10
accu = 0.d0
do ll = 1, n_act_orb
l = list_act(ll)
do kk = 1, n_act_orb
k = list_act(kk)
do jj = 1, n_act_orb
j = list_act(jj)
do ii = 1, n_act_orb
i = list_act(ii)
integral = get_two_e_integral(i,j,k,l,mo_integrals_map)
accu(1) += state_av_act_2_rdm_spin_trace_mo(ii,jj,kk,ll) * integral
enddo
enddo
enddo
enddo
print*,'accu = ',accu(1)
end

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BEGIN_PROVIDER [real*8, gradvec_old, (nMonoEx)]
BEGIN_DOC
! calculate the orbital gradient <Psi| H E_pq |Psi> by hand, i.e. for
! each determinant I we determine the string E_pq |I> (alpha and beta
! separately) and generate <Psi|H E_pq |I>
! sum_I c_I <Psi|H E_pq |I> is then the pq component of the orbital
! gradient
! E_pq = a^+_pa_q + a^+_Pa_Q
END_DOC
implicit none
integer :: ii,tt,aa,indx,ihole,ipart,istate
real*8 :: res
do indx=1,nMonoEx
ihole=excit(1,indx)
ipart=excit(2,indx)
call calc_grad_elem(ihole,ipart,res)
gradvec_old(indx)=res
end do
real*8 :: norm_grad
norm_grad=0.d0
do indx=1,nMonoEx
norm_grad+=gradvec_old(indx)*gradvec_old(indx)
end do
norm_grad=sqrt(norm_grad)
if (bavard) then
write(6,*)
write(6,*) ' Norm of the orbital gradient (via <0|EH|0>) : ', norm_grad
write(6,*)
endif
END_PROVIDER
subroutine calc_grad_elem(ihole,ipart,res)
BEGIN_DOC
! eq 18 of Siegbahn et al, Physica Scripta 1980
! we calculate 2 <Psi| H E_pq | Psi>, q=hole, p=particle
END_DOC
implicit none
integer :: ihole,ipart,mu,iii,ispin,ierr,nu,istate
real*8 :: res
integer(bit_kind), allocatable :: det_mu(:,:),det_mu_ex(:,:)
real*8 :: i_H_psi_array(N_states),phase
allocate(det_mu(N_int,2))
allocate(det_mu_ex(N_int,2))
res=0.D0
do mu=1,n_det
! get the string of the determinant
call det_extract(det_mu,mu,N_int)
do ispin=1,2
! do the monoexcitation on it
call det_copy(det_mu,det_mu_ex,N_int)
call do_signed_mono_excitation(det_mu,det_mu_ex,nu &
,ihole,ipart,ispin,phase,ierr)
if (ierr.eq.1) then
call i_H_psi(det_mu_ex,psi_det,psi_coef,N_int &
,N_det,N_det,N_states,i_H_psi_array)
do istate=1,N_states
res+=i_H_psi_array(istate)*psi_coef(mu,istate)*phase
end do
end if
end do
end do
! state-averaged gradient
res*=2.D0/dble(N_states)
end subroutine calc_grad_elem

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use bitmasks
BEGIN_PROVIDER [ integer, nMonoEx ]
BEGIN_DOC
! Number of single excitations
END_DOC
implicit none
nMonoEx=n_core_inact_orb*n_act_orb+n_core_inact_orb*n_virt_orb+n_act_orb*n_virt_orb
END_PROVIDER
BEGIN_PROVIDER [integer, n_c_a_prov]
&BEGIN_PROVIDER [integer, n_c_v_prov]
&BEGIN_PROVIDER [integer, n_a_v_prov]
implicit none
n_c_a_prov = n_core_inact_orb * n_act_orb
n_c_v_prov = n_core_inact_orb * n_virt_orb
n_a_v_prov = n_act_orb * n_virt_orb
END_PROVIDER
BEGIN_PROVIDER [integer, excit, (2,nMonoEx)]
&BEGIN_PROVIDER [character*3, excit_class, (nMonoEx)]
&BEGIN_PROVIDER [integer, list_idx_c_a, (3,n_c_a_prov) ]
&BEGIN_PROVIDER [integer, list_idx_c_v, (3,n_c_v_prov) ]
&BEGIN_PROVIDER [integer, list_idx_a_v, (3,n_a_v_prov) ]
&BEGIN_PROVIDER [integer, mat_idx_c_a, (n_core_inact_orb,n_act_orb)
&BEGIN_PROVIDER [integer, mat_idx_c_v, (n_core_inact_orb,n_virt_orb)
&BEGIN_PROVIDER [integer, mat_idx_a_v, (n_act_orb,n_virt_orb)
BEGIN_DOC
! a list of the orbitals involved in the excitation
END_DOC
implicit none
integer :: i,t,a,ii,tt,aa,indx,indx_tmp
indx=0
indx_tmp = 0
do ii=1,n_core_inact_orb
i=list_core_inact(ii)
do tt=1,n_act_orb
t=list_act(tt)
indx+=1
excit(1,indx)=i
excit(2,indx)=t
excit_class(indx)='c-a'
indx_tmp += 1
list_idx_c_a(1,indx_tmp) = indx
list_idx_c_a(2,indx_tmp) = ii
list_idx_c_a(3,indx_tmp) = tt
mat_idx_c_a(ii,tt) = indx
end do
end do
indx_tmp = 0
do ii=1,n_core_inact_orb
i=list_core_inact(ii)
do aa=1,n_virt_orb
a=list_virt(aa)
indx+=1
excit(1,indx)=i
excit(2,indx)=a
excit_class(indx)='c-v'
indx_tmp += 1
list_idx_c_v(1,indx_tmp) = indx
list_idx_c_v(2,indx_tmp) = ii
list_idx_c_v(3,indx_tmp) = aa
mat_idx_c_v(ii,aa) = indx
end do
end do
indx_tmp = 0
do tt=1,n_act_orb
t=list_act(tt)
do aa=1,n_virt_orb
a=list_virt(aa)
indx+=1
excit(1,indx)=t
excit(2,indx)=a
excit_class(indx)='a-v'
indx_tmp += 1
list_idx_a_v(1,indx_tmp) = indx
list_idx_a_v(2,indx_tmp) = tt
list_idx_a_v(3,indx_tmp) = aa
mat_idx_a_v(tt,aa) = indx
end do
end do
if (bavard) then
write(6,*) ' Filled the table of the Monoexcitations '
do indx=1,nMonoEx
write(6,*) ' ex ',indx,' : ',excit(1,indx),' -> ' &
,excit(2,indx),' ',excit_class(indx)
end do
end if
END_PROVIDER
BEGIN_PROVIDER [real*8, gradvec2, (nMonoEx)]
&BEGIN_PROVIDER [real*8, norm_grad_vec2]
&BEGIN_PROVIDER [real*8, norm_grad_vec2_tab, (3)]
BEGIN_DOC
! calculate the orbital gradient <Psi| H E_pq |Psi> from density
! matrices and integrals; Siegbahn et al, Phys Scr 1980
! eqs 14 a,b,c
END_DOC
implicit none
integer :: i,t,a,indx
real*8 :: gradvec_it,gradvec_ia,gradvec_ta
indx=0
norm_grad_vec2_tab = 0.d0
do i=1,n_core_inact_orb
do t=1,n_act_orb
indx+=1
gradvec2(indx)=gradvec_it(i,t)
norm_grad_vec2_tab(1) += gradvec2(indx)*gradvec2(indx)
end do
end do
do i=1,n_core_inact_orb
do a=1,n_virt_orb
indx+=1
gradvec2(indx)=gradvec_ia(i,a)
norm_grad_vec2_tab(2) += gradvec2(indx)*gradvec2(indx)
end do
end do
do t=1,n_act_orb
do a=1,n_virt_orb
indx+=1
gradvec2(indx)=gradvec_ta(t,a)
norm_grad_vec2_tab(3) += gradvec2(indx)*gradvec2(indx)
end do
end do
norm_grad_vec2=0.d0
do indx=1,nMonoEx
norm_grad_vec2+=gradvec2(indx)*gradvec2(indx)
end do
do i = 1, 3
norm_grad_vec2_tab(i) = dsqrt(norm_grad_vec2_tab(i))
enddo
norm_grad_vec2=sqrt(norm_grad_vec2)
if(bavard)then
write(6,*)
write(6,*) ' Norm of the orbital gradient (via D, P and integrals): ', norm_grad_vec2
write(6,*)
endif
END_PROVIDER
real*8 function gradvec_it(i,t)
BEGIN_DOC
! the orbital gradient core/inactive -> active
! we assume natural orbitals
END_DOC
implicit none
integer :: i,t
integer :: ii,tt,v,vv,x,y
integer :: x3,y3
ii=list_core_inact(i)
tt=list_act(t)
gradvec_it=2.D0*(Fipq(tt,ii)+Fapq(tt,ii))
gradvec_it-=occnum(tt)*Fipq(ii,tt)
do v=1,n_act_orb ! active
vv=list_act(v)
do x=1,n_act_orb ! active
x3=x+n_core_inact_orb ! list_act(x)
do y=1,n_act_orb ! active
y3=y+n_core_inact_orb ! list_act(y)
! Gamma(2) a a a a 1/r12 i a a a
gradvec_it-=2.D0*P0tuvx_no(t,v,x,y)*bielec_PQxx_no(ii,vv,x3,y3)
end do
end do
end do
gradvec_it*=2.D0
end function gradvec_it
real*8 function gradvec_ia(i,a)
BEGIN_DOC
! the orbital gradient core/inactive -> virtual
END_DOC
implicit none
integer :: i,a,ii,aa
ii=list_core_inact(i)
aa=list_virt(a)
gradvec_ia=2.D0*(Fipq(aa,ii)+Fapq(aa,ii))
gradvec_ia*=2.D0
end function gradvec_ia
real*8 function gradvec_ta(t,a)
BEGIN_DOC
! the orbital gradient active -> virtual
! we assume natural orbitals
END_DOC
implicit none
integer :: t,a,tt,aa,v,vv,x,y
tt=list_act(t)
aa=list_virt(a)
gradvec_ta=0.D0
gradvec_ta+=occnum(tt)*Fipq(aa,tt)
do v=1,n_act_orb
do x=1,n_act_orb
do y=1,n_act_orb
gradvec_ta+=2.D0*P0tuvx_no(t,v,x,y)*bielecCI_no(x,y,v,aa)
end do
end do
end do
gradvec_ta*=2.D0
end function gradvec_ta

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use bitmasks
real*8 function hessmat_itju(i,t,j,u)
BEGIN_DOC
! the orbital hessian for core/inactive -> active, core/inactive -> active
! i, t, j, u are list indices, the corresponding orbitals are ii,tt,jj,uu
!
! we assume natural orbitals
END_DOC
implicit none
integer :: i,t,j,u,ii,tt,uu,v,vv,x,xx,y,jj
real*8 :: term,t2
ii=list_core_inact(i)
tt=list_act(t)
if (i.eq.j) then
if (t.eq.u) then
! diagonal element
term=occnum(tt)*Fipq(ii,ii)+2.D0*(Fipq(tt,tt)+Fapq(tt,tt)) &
-2.D0*(Fipq(ii,ii)+Fapq(ii,ii))
term+=2.D0*(3.D0*bielec_pxxq_no(tt,i,i,tt)-bielec_pqxx_no(tt,tt,i,i))
term-=2.D0*occnum(tt)*(3.D0*bielec_pxxq_no(tt,i,i,tt) &
-bielec_pqxx_no(tt,tt,i,i))
term-=occnum(tt)*Fipq(tt,tt)
do v=1,n_act_orb
vv=list_act(v)
do x=1,n_act_orb
xx=list_act(x)
term+=2.D0*(P0tuvx_no(t,t,v,x)*bielec_pqxx_no(vv,xx,i,i) &
+(P0tuvx_no(t,x,v,t)+P0tuvx_no(t,x,t,v))* &
bielec_pxxq_no(vv,i,i,xx))
do y=1,n_act_orb
term-=2.D0*P0tuvx_no(t,v,x,y)*bielecCI_no(t,v,y,xx)
end do
end do
end do
else
! it/iu, t != u
uu=list_act(u)
term=2.D0*(Fipq(tt,uu)+Fapq(tt,uu))
term+=2.D0*(4.D0*bielec_PxxQ_no(tt,i,j,uu)-bielec_PxxQ_no(uu,i,j,tt) &
-bielec_PQxx_no(tt,uu,i,j))
term-=occnum(tt)*Fipq(uu,tt)
term-=(occnum(tt)+occnum(uu)) &
*(3.D0*bielec_PxxQ_no(tt,i,i,uu)-bielec_PQxx_no(uu,tt,i,i))
do v=1,n_act_orb
vv=list_act(v)
! term-=D0tu(u,v)*Fipq(tt,vv) ! published, but inverting t and u seems more correct
do x=1,n_act_orb
xx=list_act(x)
term+=2.D0*(P0tuvx_no(u,t,v,x)*bielec_pqxx_no(vv,xx,i,i) &
+(P0tuvx_no(u,x,v,t)+P0tuvx_no(u,x,t,v)) &
*bielec_pxxq_no(vv,i,i,xx))
do y=1,n_act_orb
term-=2.D0*P0tuvx_no(t,v,x,y)*bielecCI_no(u,v,y,xx)
end do
end do
end do
end if
else
! it/ju
jj=list_core_inact(j)
uu=list_act(u)
if (t.eq.u) then
term=occnum(tt)*Fipq(ii,jj)
term-=2.D0*(Fipq(ii,jj)+Fapq(ii,jj))
else
term=0.D0
end if
term+=2.D0*(4.D0*bielec_PxxQ_no(tt,i,j,uu)-bielec_PxxQ_no(uu,i,j,tt) &
-bielec_PQxx_no(tt,uu,i,j))
term-=(occnum(tt)+occnum(uu))* &
(4.D0*bielec_PxxQ_no(tt,i,j,uu)-bielec_PxxQ_no(uu,i,j,tt) &
-bielec_PQxx_no(uu,tt,i,j))
do v=1,n_act_orb
vv=list_act(v)
do x=1,n_act_orb
xx=list_act(x)
term+=2.D0*(P0tuvx_no(u,t,v,x)*bielec_pqxx_no(vv,xx,i,j) &
+(P0tuvx_no(u,x,v,t)+P0tuvx_no(u,x,t,v)) &
*bielec_pxxq_no(vv,i,j,xx))
end do
end do
end if
term*=2.D0
hessmat_itju=term
end function hessmat_itju
real*8 function hessmat_itja(i,t,j,a)
BEGIN_DOC
! the orbital hessian for core/inactive -> active, core/inactive -> virtual
END_DOC
implicit none
integer :: i,t,j,a,ii,tt,jj,aa,v,vv,x,y
real*8 :: term
! it/ja
ii=list_core_inact(i)
tt=list_act(t)
jj=list_core_inact(j)
aa=list_virt(a)
term=2.D0*(4.D0*bielec_pxxq_no(aa,j,i,tt) &
-bielec_pqxx_no(aa,tt,i,j) -bielec_pxxq_no(aa,i,j,tt))
term-=occnum(tt)*(4.D0*bielec_pxxq_no(aa,j,i,tt) &
-bielec_pqxx_no(aa,tt,i,j) -bielec_pxxq_no(aa,i,j,tt))
if (i.eq.j) then
term+=2.D0*(Fipq(aa,tt)+Fapq(aa,tt))
term-=0.5D0*occnum(tt)*Fipq(aa,tt)
do v=1,n_act_orb
do x=1,n_act_orb
do y=1,n_act_orb
term-=P0tuvx_no(t,v,x,y)*bielecCI_no(x,y,v,aa)
end do
end do
end do
end if
term*=2.D0
hessmat_itja=term
end function hessmat_itja
real*8 function hessmat_itua(i,t,u,a)
BEGIN_DOC
! the orbital hessian for core/inactive -> active, active -> virtual
END_DOC
implicit none
integer :: i,t,u,a,ii,tt,uu,aa,v,vv,x,xx,u3,t3,v3
real*8 :: term
ii=list_core_inact(i)
tt=list_act(t)
t3=t+n_core_inact_orb
uu=list_act(u)
u3=u+n_core_inact_orb
aa=list_virt(a)
if (t.eq.u) then
term=-occnum(tt)*Fipq(aa,ii)
else
term=0.D0
end if
term-=occnum(uu)*(bielec_pqxx_no(aa,ii,t3,u3)-4.D0*bielec_pqxx_no(aa,uu,t3,i)&
+bielec_pxxq_no(aa,t3,u3,ii))
do v=1,n_act_orb
vv=list_act(v)
v3=v+n_core_inact_orb
do x=1,n_act_orb
integer :: x3
xx=list_act(x)
x3=x+n_core_inact_orb
term-=2.D0*(P0tuvx_no(t,u,v,x)*bielec_pqxx_no(aa,ii,v3,x3) &
+(P0tuvx_no(t,v,u,x)+P0tuvx_no(t,v,x,u)) &
*bielec_pqxx_no(aa,xx,v3,i))
end do
end do
if (t.eq.u) then
term+=Fipq(aa,ii)+Fapq(aa,ii)
end if
term*=2.D0
hessmat_itua=term
end function hessmat_itua
real*8 function hessmat_iajb(i,a,j,b)
BEGIN_DOC
! the orbital hessian for core/inactive -> virtual, core/inactive -> virtual
END_DOC
implicit none
integer :: i,a,j,b,ii,aa,jj,bb
real*8 :: term
ii=list_core_inact(i)
aa=list_virt(a)
if (i.eq.j) then
if (a.eq.b) then
! ia/ia
term=2.D0*(Fipq(aa,aa)+Fapq(aa,aa)-Fipq(ii,ii)-Fapq(ii,ii))
term+=2.D0*(3.D0*bielec_pxxq_no(aa,i,i,aa)-bielec_pqxx_no(aa,aa,i,i))
else
bb=list_virt(b)
! ia/ib
term=2.D0*(Fipq(aa,bb)+Fapq(aa,bb))
term+=2.D0*(3.D0*bielec_pxxq_no(aa,i,i,bb)-bielec_pqxx_no(aa,bb,i,i))
end if
else
! ia/jb
jj=list_core_inact(j)
bb=list_virt(b)
term=2.D0*(4.D0*bielec_pxxq_no(aa,i,j,bb)-bielec_pqxx_no(aa,bb,i,j) &
-bielec_pxxq_no(aa,j,i,bb))
if (a.eq.b) then
term-=2.D0*(Fipq(ii,jj)+Fapq(ii,jj))
end if
end if
term*=2.D0
hessmat_iajb=term
end function hessmat_iajb
real*8 function hessmat_iatb(i,a,t,b)
BEGIN_DOC
! the orbital hessian for core/inactive -> virtual, active -> virtual
END_DOC
implicit none
integer :: i,a,t,b,ii,aa,tt,bb,v,vv,x,y,v3,t3
real*8 :: term
ii=list_core_inact(i)
aa=list_virt(a)
tt=list_act(t)
bb=list_virt(b)
t3=t+n_core_inact_orb
term=occnum(tt)*(4.D0*bielec_pxxq_no(aa,i,t3,bb)-bielec_pxxq_no(aa,t3,i,bb)&
-bielec_pqxx_no(aa,bb,i,t3))
if (a.eq.b) then
term-=Fipq(tt,ii)+Fapq(tt,ii)
term-=0.5D0*occnum(tt)*Fipq(tt,ii)
do v=1,n_act_orb
do x=1,n_act_orb
do y=1,n_act_orb
term-=P0tuvx_no(t,v,x,y)*bielecCI_no(x,y,v,ii)
end do
end do
end do
end if
term*=2.D0
hessmat_iatb=term
end function hessmat_iatb
real*8 function hessmat_taub(t,a,u,b)
BEGIN_DOC
! the orbital hessian for act->virt,act->virt
END_DOC
implicit none
integer :: t,a,u,b,tt,aa,uu,bb,v,vv,x,xx,y
integer :: v3,x3
real*8 :: term,t1,t2,t3
tt=list_act(t)
aa=list_virt(a)
if (t == u) then
if (a == b) then
! ta/ta
t1=occnum(tt)*Fipq(aa,aa)
t2=0.D0
t3=0.D0
t1-=occnum(tt)*Fipq(tt,tt)
do v=1,n_act_orb
vv=list_act(v)
v3=v+n_core_inact_orb
do x=1,n_act_orb
xx=list_act(x)
x3=x+n_core_inact_orb
t2+=2.D0*(P0tuvx_no(t,t,v,x)*bielec_pqxx_no(aa,aa,v3,x3) &
+(P0tuvx_no(t,x,v,t)+P0tuvx_no(t,x,t,v))* &
bielec_pxxq_no(aa,x3,v3,aa))
do y=1,n_act_orb
t3-=2.D0*P0tuvx_no(t,v,x,y)*bielecCI_no(t,v,y,xx)
end do
end do
end do
term=t1+t2+t3
else
bb=list_virt(b)
! ta/tb b/=a
term=occnum(tt)*Fipq(aa,bb)
do v=1,n_act_orb
vv=list_act(v)
v3=v+n_core_inact_orb
do x=1,n_act_orb
xx=list_act(x)
x3=x+n_core_inact_orb
term+=2.D0*(P0tuvx_no(t,t,v,x)*bielec_pqxx_no(aa,bb,v3,x3) &
+(P0tuvx_no(t,x,v,t)+P0tuvx_no(t,x,t,v)) &
*bielec_pxxq_no(aa,x3,v3,bb))
end do
end do
end if
else
! ta/ub t/=u
uu=list_act(u)
bb=list_virt(b)
term=0.D0
do v=1,n_act_orb
vv=list_act(v)
v3=v+n_core_inact_orb
do x=1,n_act_orb
xx=list_act(x)
x3=x+n_core_inact_orb
term+=2.D0*(P0tuvx_no(t,u,v,x)*bielec_pqxx_no(aa,bb,v3,x3) &
+(P0tuvx_no(t,x,v,u)+P0tuvx_no(t,x,u,v)) &
*bielec_pxxq_no(aa,x3,v3,bb))
end do
end do
if (a.eq.b) then
term-=0.5D0*(occnum(tt)*Fipq(uu,tt)+occnum(uu)*Fipq(tt,uu))
do v=1,n_act_orb
do y=1,n_act_orb
do x=1,n_act_orb
term-=P0tuvx_no(t,v,x,y)*bielecCI_no(x,y,v,uu)
term-=P0tuvx_no(u,v,x,y)*bielecCI_no(x,y,v,tt)
end do
end do
end do
end if
end if
term*=2.D0
hessmat_taub=term
end function hessmat_taub
BEGIN_PROVIDER [real*8, hessdiag, (nMonoEx)]
BEGIN_DOC
! the diagonal of the Hessian, needed for the Davidson procedure
END_DOC
implicit none
integer :: i,t,a,indx,indx_shift
real*8 :: hessmat_itju,hessmat_iajb,hessmat_taub
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessdiag,n_core_inact_orb,n_act_orb,n_virt_orb,nMonoEx) &
!$OMP PRIVATE(i,indx,t,a,indx_shift)
!$OMP DO
do i=1,n_core_inact_orb
do t=1,n_act_orb
indx = t + (i-1)*n_act_orb
hessdiag(indx)=hessmat_itju(i,t,i,t)
end do
end do
!$OMP END DO NOWAIT
indx_shift = n_core_inact_orb*n_act_orb
!$OMP DO
do a=1,n_virt_orb
do i=1,n_core_inact_orb
indx = a + (i-1)*n_virt_orb + indx_shift
hessdiag(indx)=hessmat_iajb(i,a,i,a)
end do
end do
!$OMP END DO NOWAIT
indx_shift += n_core_inact_orb*n_virt_orb
!$OMP DO
do a=1,n_virt_orb
do t=1,n_act_orb
indx = a + (t-1)*n_virt_orb + indx_shift
hessdiag(indx)=hessmat_taub(t,a,t,a)
end do
end do
!$OMP END DO
!$OMP END PARALLEL
END_PROVIDER
BEGIN_PROVIDER [double precision, hessmat, (nMonoEx,nMonoEx)]
implicit none
integer :: i,j,t,u,a,b
integer :: indx,indx_tmp, jndx, jndx_tmp
integer :: ustart,bstart
real*8 :: hessmat_itju
real*8 :: hessmat_itja
real*8 :: hessmat_itua
real*8 :: hessmat_iajb
real*8 :: hessmat_iatb
real*8 :: hessmat_taub
! c-a c-v a-v
! c-a | X X X
! c-v | X X
! a-v | X
provide mo_two_e_integrals_in_map
hessmat = 0.d0
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat,n_c_a_prov,list_idx_c_a,n_core_inact_orb,n_act_orb,mat_idx_c_a) &
!$OMP PRIVATE(indx_tmp,indx,i,t,j,u,ustart,jndx)
!$OMP DO
!!!! < Core-active| H |Core-active >
! Core-active excitations
do indx_tmp = 1, n_c_a_prov
indx = list_idx_c_a(1,indx_tmp)
i = list_idx_c_a(2,indx_tmp)
t = list_idx_c_a(3,indx_tmp)
! Core-active excitations
do j = 1, n_core_inact_orb
if (i.eq.j) then
ustart=t
else
ustart=1
end if
do u=ustart,n_act_orb
jndx = mat_idx_c_a(j,u)
hessmat(jndx,indx) = hessmat_itju(i,t,j,u)
hessmat(indx,jndx) = hessmat(jndx,indx)
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat,n_c_a_prov,n_c_v_prov,list_idx_c_a,list_idx_c_v) &
!$OMP PRIVATE(indx_tmp,jndx_tmp,indx,i,t,j,a,jndx)
!$OMP DO
!!!! < Core-active| H |Core-VIRTUAL >
! Core-active excitations
do indx_tmp = 1, n_c_a_prov
indx = list_idx_c_a(1,indx_tmp)
i = list_idx_c_a(2,indx_tmp)
t = list_idx_c_a(3,indx_tmp)
! Core-VIRTUAL excitations
do jndx_tmp = 1, n_c_v_prov
jndx = list_idx_c_v(1,jndx_tmp)
j = list_idx_c_v(2,jndx_tmp)
a = list_idx_c_v(3,jndx_tmp)
hessmat(jndx,indx) = hessmat_itja(i,t,j,a)
hessmat(indx,jndx) = hessmat(jndx,indx)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat,n_c_a_prov,n_a_v_prov,list_idx_c_a,list_idx_a_v) &
!$OMP PRIVATE(indx_tmp,jndx_tmp,indx,i,t,u,a,jndx)
!$OMP DO
!!!! < Core-active| H |ACTIVE-VIRTUAL >
! Core-active excitations
do indx_tmp = 1, n_c_a_prov
indx = list_idx_c_a(1,indx_tmp)
i = list_idx_c_a(2,indx_tmp)
t = list_idx_c_a(3,indx_tmp)
! ACTIVE-VIRTUAL excitations
do jndx_tmp = 1, n_a_v_prov
jndx = list_idx_a_v(1,jndx_tmp)
u = list_idx_a_v(2,jndx_tmp)
a = list_idx_a_v(3,jndx_tmp)
hessmat(jndx,indx) = hessmat_itua(i,t,u,a)
hessmat(indx,jndx) = hessmat(jndx,indx)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
if(hess_cv_cv)then
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat,n_c_v_prov,list_idx_c_v,n_core_inact_orb,n_virt_orb,mat_idx_c_v) &
!$OMP PRIVATE(indx_tmp,indx,i,a,j,b,bstart,jndx)
!$OMP DO
!!!!! < Core-VIRTUAL | H |Core-VIRTUAL >
! Core-VIRTUAL excitations
do indx_tmp = 1, n_c_v_prov
indx = list_idx_c_v(1,indx_tmp)
i = list_idx_c_v(2,indx_tmp)
a = list_idx_c_v(3,indx_tmp)
! Core-VIRTUAL excitations
do j = 1, n_core_inact_orb
if (i.eq.j) then
bstart=a
else
bstart=1
end if
do b=bstart,n_virt_orb
jndx = mat_idx_c_v(j,b)
hessmat(jndx,indx) = hessmat_iajb(i,a,j,b)
hessmat(indx,jndx) = hessmat(jndx,indx)
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
endif
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat,n_c_v_prov,n_a_v_prov,list_idx_c_v,list_idx_a_v) &
!$OMP PRIVATE(indx_tmp,jndx_tmp,indx,i,a,t,b,jndx)
!$OMP DO
!!!! < Core-VIRTUAL | H |Active-VIRTUAL >
! Core-VIRTUAL excitations
do indx_tmp = 1, n_c_v_prov
indx = list_idx_c_v(1,indx_tmp)
i = list_idx_c_v(2,indx_tmp)
a = list_idx_c_v(3,indx_tmp)
! Active-VIRTUAL excitations
do jndx_tmp = 1, n_a_v_prov
jndx = list_idx_a_v(1,jndx_tmp)
t = list_idx_a_v(2,jndx_tmp)
b = list_idx_a_v(3,jndx_tmp)
hessmat(jndx,indx) = hessmat_iatb(i,a,t,b)
hessmat(indx,jndx) = hessmat(jndx,indx)
enddo
enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat,n_a_v_prov,list_idx_a_v,n_act_orb,n_virt_orb,mat_idx_a_v) &
!$OMP PRIVATE(indx_tmp,indx,t,a,u,b,bstart,jndx)
!$OMP DO
!!!! < Active-VIRTUAL | H |Active-VIRTUAL >
! Active-VIRTUAL excitations
do indx_tmp = 1, n_a_v_prov
indx = list_idx_a_v(1,indx_tmp)
t = list_idx_a_v(2,indx_tmp)
a = list_idx_a_v(3,indx_tmp)
! Active-VIRTUAL excitations
do u=t,n_act_orb
if (t.eq.u) then
bstart=a
else
bstart=1
end if
do b=bstart,n_virt_orb
jndx = mat_idx_a_v(u,b)
hessmat(jndx,indx) = hessmat_taub(t,a,u,b)
hessmat(indx,jndx) = hessmat(jndx,indx)
enddo
enddo
enddo
!$OMP END DO NOWAIT
!$OMP END PARALLEL
END_PROVIDER

310
src/casscf_cipsi/hessian_old.irp.f Normal file
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use bitmasks
BEGIN_PROVIDER [real*8, hessmat_old, (nMonoEx,nMonoEx)]
BEGIN_DOC
! calculate the orbital hessian 2 <Psi| E_pq H E_rs |Psi>
! + <Psi| E_pq E_rs H |Psi> + <Psi| E_rs E_pq H |Psi> by hand,
! determinant per determinant, as for the gradient
!
! we assume that we have natural active orbitals
END_DOC
implicit none
integer :: indx,ihole,ipart
integer :: jndx,jhole,jpart
character*3 :: iexc,jexc
real*8 :: res
if (bavard) then
write(6,*) ' providing Hessian matrix hessmat_old '
write(6,*) ' nMonoEx = ',nMonoEx
endif
do indx=1,nMonoEx
do jndx=1,nMonoEx
hessmat_old(indx,jndx)=0.D0
end do
end do
do indx=1,nMonoEx
ihole=excit(1,indx)
ipart=excit(2,indx)
iexc=excit_class(indx)
do jndx=indx,nMonoEx
jhole=excit(1,jndx)
jpart=excit(2,jndx)
jexc=excit_class(jndx)
call calc_hess_elem(ihole,ipart,jhole,jpart,res)
hessmat_old(indx,jndx)=res
hessmat_old(jndx,indx)=res
end do
end do
END_PROVIDER
subroutine calc_hess_elem(ihole,ipart,jhole,jpart,res)
BEGIN_DOC
! eq 19 of Siegbahn et al, Physica Scripta 1980
! we calculate 2 <Psi| E_pq H E_rs |Psi>
! + <Psi| E_pq E_rs H |Psi> + <Psi| E_rs E_pq H |Psi>
! average over all states is performed.
! no transition between states.
END_DOC
implicit none
integer :: ihole,ipart,ispin,mu,istate
integer :: jhole,jpart,jspin
integer :: mu_pq, mu_pqrs, mu_rs, mu_rspq, nu_rs,nu
real*8 :: res
integer(bit_kind), allocatable :: det_mu(:,:)
integer(bit_kind), allocatable :: det_nu(:,:)
integer(bit_kind), allocatable :: det_mu_pq(:,:)
integer(bit_kind), allocatable :: det_mu_rs(:,:)
integer(bit_kind), allocatable :: det_nu_rs(:,:)
integer(bit_kind), allocatable :: det_mu_pqrs(:,:)
integer(bit_kind), allocatable :: det_mu_rspq(:,:)
real*8 :: i_H_psi_array(N_states),phase,phase2,phase3
real*8 :: i_H_j_element
allocate(det_mu(N_int,2))
allocate(det_nu(N_int,2))
allocate(det_mu_pq(N_int,2))
allocate(det_mu_rs(N_int,2))
allocate(det_nu_rs(N_int,2))
allocate(det_mu_pqrs(N_int,2))
allocate(det_mu_rspq(N_int,2))
integer :: mu_pq_possible
integer :: mu_rs_possible
integer :: nu_rs_possible
integer :: mu_pqrs_possible
integer :: mu_rspq_possible
res=0.D0
! the terms <0|E E H |0>
do mu=1,n_det
! get the string of the determinant
call det_extract(det_mu,mu,N_int)
do ispin=1,2
! do the monoexcitation pq on it
call det_copy(det_mu,det_mu_pq,N_int)
call do_signed_mono_excitation(det_mu,det_mu_pq,mu_pq &
,ihole,ipart,ispin,phase,mu_pq_possible)
if (mu_pq_possible.eq.1) then
! possible, but not necessarily in the list
! do the second excitation
do jspin=1,2
call det_copy(det_mu_pq,det_mu_pqrs,N_int)
call do_signed_mono_excitation(det_mu_pq,det_mu_pqrs,mu_pqrs&
,jhole,jpart,jspin,phase2,mu_pqrs_possible)
! excitation possible
if (mu_pqrs_possible.eq.1) then
call i_H_psi(det_mu_pqrs,psi_det,psi_coef,N_int &
,N_det,N_det,N_states,i_H_psi_array)
do istate=1,N_states
res+=i_H_psi_array(istate)*psi_coef(mu,istate)*phase*phase2
end do
end if
! try the de-excitation with opposite sign
call det_copy(det_mu_pq,det_mu_pqrs,N_int)
call do_signed_mono_excitation(det_mu_pq,det_mu_pqrs,mu_pqrs&
,jpart,jhole,jspin,phase2,mu_pqrs_possible)
phase2=-phase2
! excitation possible
if (mu_pqrs_possible.eq.1) then
call i_H_psi(det_mu_pqrs,psi_det,psi_coef,N_int &
,N_det,N_det,N_states,i_H_psi_array)
do istate=1,N_states
res+=i_H_psi_array(istate)*psi_coef(mu,istate)*phase*phase2
end do
end if
end do
end if
! exchange the notion of pq and rs
! do the monoexcitation rs on the initial determinant
call det_copy(det_mu,det_mu_rs,N_int)
call do_signed_mono_excitation(det_mu,det_mu_rs,mu_rs &
,jhole,jpart,ispin,phase2,mu_rs_possible)
if (mu_rs_possible.eq.1) then
! do the second excitation
do jspin=1,2
call det_copy(det_mu_rs,det_mu_rspq,N_int)
call do_signed_mono_excitation(det_mu_rs,det_mu_rspq,mu_rspq&
,ihole,ipart,jspin,phase3,mu_rspq_possible)
! excitation possible (of course, the result is outside the CAS)
if (mu_rspq_possible.eq.1) then
call i_H_psi(det_mu_rspq,psi_det,psi_coef,N_int &
,N_det,N_det,N_states,i_H_psi_array)
do istate=1,N_states
res+=i_H_psi_array(istate)*psi_coef(mu,istate)*phase2*phase3
end do
end if
! we may try the de-excitation, with opposite sign
call det_copy(det_mu_rs,det_mu_rspq,N_int)
call do_signed_mono_excitation(det_mu_rs,det_mu_rspq,mu_rspq&
,ipart,ihole,jspin,phase3,mu_rspq_possible)
phase3=-phase3
! excitation possible (of course, the result is outside the CAS)
if (mu_rspq_possible.eq.1) then
call i_H_psi(det_mu_rspq,psi_det,psi_coef,N_int &
,N_det,N_det,N_states,i_H_psi_array)
do istate=1,N_states
res+=i_H_psi_array(istate)*psi_coef(mu,istate)*phase2*phase3
end do
end if
end do
end if
!
! the operator E H E, we have to do a double loop over the determinants
! we still have the determinant mu_pq and the phase in memory
if (mu_pq_possible.eq.1) then
do nu=1,N_det
call det_extract(det_nu,nu,N_int)
do jspin=1,2
call det_copy(det_nu,det_nu_rs,N_int)
call do_signed_mono_excitation(det_nu,det_nu_rs,nu_rs &
,jhole,jpart,jspin,phase2,nu_rs_possible)
! excitation possible ?
if (nu_rs_possible.eq.1) then
call i_H_j(det_mu_pq,det_nu_rs,N_int,i_H_j_element)
do istate=1,N_states
res+=2.D0*i_H_j_element*psi_coef(mu,istate) &
*psi_coef(nu,istate)*phase*phase2
end do
end if
end do
end do
end if
end do
end do
! state-averaged Hessian
res*=1.D0/dble(N_states)
end subroutine calc_hess_elem
BEGIN_PROVIDER [real*8, hessmat_peter, (nMonoEx,nMonoEx)]
BEGIN_DOC
! explicit hessian matrix from density matrices and integrals
! of course, this will be used for a direct Davidson procedure later
! we will not store the matrix in real life
! formulas are broken down as functions for the 6 classes of matrix elements
!
END_DOC
implicit none
integer :: i,j,t,u,a,b,indx,jndx,bstart,ustart,indx_shift
real*8 :: hessmat_itju
real*8 :: hessmat_itja
real*8 :: hessmat_itua
real*8 :: hessmat_iajb
real*8 :: hessmat_iatb
real*8 :: hessmat_taub
if (bavard) then
write(6,*) ' providing Hessian matrix hessmat_peter '
write(6,*) ' nMonoEx = ',nMonoEx
endif
provide mo_two_e_integrals_in_map
!$OMP PARALLEL DEFAULT(NONE) &
!$OMP SHARED(hessmat_peter,n_core_inact_orb,n_act_orb,n_virt_orb,nMonoEx) &
!$OMP PRIVATE(i,indx,jndx,j,ustart,t,u,a,bstart,indx_shift)
!$OMP DO
! (DOUBLY OCCUPIED ---> ACT )
do i=1,n_core_inact_orb
do t=1,n_act_orb
indx = t + (i-1)*n_act_orb
jndx=indx
! (DOUBLY OCCUPIED ---> ACT )
do j=i,n_core_inact_orb
if (i.eq.j) then
ustart=t
else
ustart=1
end if
do u=ustart,n_act_orb
hessmat_peter(jndx,indx)=hessmat_itju(i,t,j,u)
jndx+=1
end do
end do
! (DOUBLY OCCUPIED ---> VIRTUAL)
do j=1,n_core_inact_orb
do a=1,n_virt_orb
hessmat_peter(jndx,indx)=hessmat_itja(i,t,j,a)
jndx+=1
end do
end do
! (ACTIVE ---> VIRTUAL)
do u=1,n_act_orb
do a=1,n_virt_orb
hessmat_peter(jndx,indx)=hessmat_itua(i,t,u,a)
jndx+=1
end do
end do
end do
end do
!$OMP END DO NOWAIT
indx_shift = n_core_inact_orb*n_act_orb
!$OMP DO
! (DOUBLY OCCUPIED ---> VIRTUAL)
do a=1,n_virt_orb
do i=1,n_core_inact_orb
indx = a + (i-1)*n_virt_orb + indx_shift
jndx=indx
! (DOUBLY OCCUPIED ---> VIRTUAL)
do j=i,n_core_inact_orb
if (i.eq.j) then
bstart=a
else
bstart=1
end if
do b=bstart,n_virt_orb
hessmat_peter(jndx,indx)=hessmat_iajb(i,a,j,b)
jndx+=1
end do
end do
! (ACT ---> VIRTUAL)
do t=1,n_act_orb
do b=1,n_virt_orb
hessmat_peter(jndx,indx)=hessmat_iatb(i,a,t,b)
jndx+=1
end do
end do
end do
end do
!$OMP END DO NOWAIT
indx_shift += n_core_inact_orb*n_virt_orb
!$OMP DO
! (ACT ---> VIRTUAL)
do a=1,n_virt_orb
do t=1,n_act_orb
indx = a + (t-1)*n_virt_orb + indx_shift
jndx=indx
! (ACT ---> VIRTUAL)
do u=t,n_act_orb
if (t.eq.u) then
bstart=a
else
bstart=1
end if
do b=bstart,n_virt_orb
hessmat_peter(jndx,indx)=hessmat_taub(t,a,u,b)
jndx+=1
end do
end do
end do
end do
!$OMP END DO
!$OMP END PARALLEL
do jndx=1,nMonoEx
do indx=1,jndx-1
hessmat_peter(indx,jndx) = hessmat_peter(jndx,indx)
enddo
enddo
END_PROVIDER

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BEGIN_PROVIDER [real*8, Fipq, (mo_num,mo_num) ]
BEGIN_DOC
! the inactive Fock matrix, in molecular orbitals
END_DOC
implicit none
integer :: p,q,k,kk,t,tt,u,uu
do q=1,mo_num
do p=1,mo_num
Fipq(p,q)=one_ints_no(p,q)
end do
end do
! the inactive Fock matrix
do k=1,n_core_inact_orb
kk=list_core_inact(k)
do q=1,mo_num
do p=1,mo_num
Fipq(p,q)+=2.D0*bielec_pqxx_no(p,q,k,k) -bielec_pxxq_no(p,k,k,q)
end do
end do
end do
if (bavard) then
integer :: i
write(6,*)
write(6,*) ' the diagonal of the inactive effective Fock matrix '
write(6,'(5(i3,F12.5))') (i,Fipq(i,i),i=1,mo_num)
write(6,*)
end if
END_PROVIDER
BEGIN_PROVIDER [real*8, Fapq, (mo_num,mo_num) ]
BEGIN_DOC
! the active active Fock matrix, in molecular orbitals
! we create them in MOs, quite expensive
!
! for an implementation in AOs we need first the natural orbitals
! for forming an active density matrix in AOs
!
END_DOC
implicit none
integer :: p,q,k,kk,t,tt,u,uu
Fapq = 0.d0
! the active Fock matrix, D0tu is diagonal
do t=1,n_act_orb
tt=list_act(t)
do q=1,mo_num
do p=1,mo_num
Fapq(p,q)+=occnum(tt) &
*(bielec_pqxx_no(p,q,tt,tt)-0.5D0*bielec_pxxq_no(p,tt,tt,q))
end do
end do
end do
if (bavard) then
integer :: i
write(6,*)
write(6,*) ' the effective Fock matrix over MOs'
write(6,*)
write(6,*)
write(6,*) ' the diagonal of the inactive effective Fock matrix '
write(6,'(5(i3,F12.5))') (i,Fipq(i,i),i=1,mo_num)
write(6,*)
write(6,*)
write(6,*) ' the diagonal of the active Fock matrix '
write(6,'(5(i3,F12.5))') (i,Fapq(i,i),i=1,mo_num)
write(6,*)
end if
END_PROVIDER
BEGIN_PROVIDER [ double precision, mcscf_fock_alpha_ao, (ao_num, ao_num)]
&BEGIN_PROVIDER [ double precision, mcscf_fock_beta_ao, (ao_num, ao_num)]
implicit none
BEGIN_DOC
! mcscf_fock_alpha_ao are set to usual Fock like operator but computed with the MCSCF densities on the AO basis
END_DOC
SCF_density_matrix_ao_alpha = D0tu_alpha_ao
SCF_density_matrix_ao_beta = D0tu_beta_ao
soft_touch SCF_density_matrix_ao_alpha SCF_density_matrix_ao_beta
mcscf_fock_beta_ao = fock_matrix_ao_beta
mcscf_fock_alpha_ao = fock_matrix_ao_alpha
END_PROVIDER
BEGIN_PROVIDER [ double precision, mcscf_fock_alpha_mo, (mo_num, mo_num)]
&BEGIN_PROVIDER [ double precision, mcscf_fock_beta_mo, (mo_num, mo_num)]
implicit none
BEGIN_DOC
! Mo_mcscf_fock_alpha are set to usual Fock like operator but computed with the MCSCF densities on the MO basis
END_DOC
call ao_to_mo(mcscf_fock_alpha_ao,ao_num,mcscf_fock_alpha_mo,mo_num)
call ao_to_mo(mcscf_fock_beta_ao,ao_num,mcscf_fock_beta_mo,mo_num)
END_PROVIDER
BEGIN_PROVIDER [ double precision, mcscf_fock_mo, (mo_num,mo_num) ]
&BEGIN_PROVIDER [ double precision, mcscf_fock_diag_mo, (mo_num)]
implicit none
BEGIN_DOC
! MCSF Fock matrix on the MO basis.
! For open shells, the ROHF Fock Matrix is ::
!
! | Rcc | F^b | Fcv |
! |-----------------------|
! | F^b | Roo | F^a |
! |-----------------------|
! | Fcv | F^a | Rvv |
!
! C: Core, O: Open, V: Virtual
!
! Rcc = Acc Fcc^a + Bcc Fcc^b
! Roo = Aoo Foo^a + Boo Foo^b
! Rvv = Avv Fvv^a + Bvv Fvv^b
! Fcv = (F^a + F^b)/2
!
! F^a: Fock matrix alpha (MO), F^b: Fock matrix beta (MO)
! A,B: Coupling parameters
!
! J. Chem. Phys. 133, 141102 (2010), https://doi.org/10.1063/1.3503173
! Coupling parameters from J. Chem. Phys. 125, 204110 (2006); https://doi.org/10.1063/1.2393223.
! cc oo vv
! A -0.5 0.5 1.5
! B 1.5 0.5 -0.5
!
END_DOC
integer :: i,j,n
if (elec_alpha_num == elec_beta_num) then
mcscf_fock_mo = mcscf_fock_alpha_mo
else
! Core
do j = 1, elec_beta_num
! Core
do i = 1, elec_beta_num
mcscf_fock_mo(i,j) = - 0.5d0 * mcscf_fock_alpha_mo(i,j) &
+ 1.5d0 * mcscf_fock_beta_mo(i,j)
enddo
! Open
do i = elec_beta_num+1, elec_alpha_num
mcscf_fock_mo(i,j) = mcscf_fock_beta_mo(i,j)
enddo
! Virtual
do i = elec_alpha_num+1, mo_num
mcscf_fock_mo(i,j) = 0.5d0 * mcscf_fock_alpha_mo(i,j) &
+ 0.5d0 * mcscf_fock_beta_mo(i,j)
enddo
enddo
! Open
do j = elec_beta_num+1, elec_alpha_num
! Core
do i = 1, elec_beta_num
mcscf_fock_mo(i,j) = mcscf_fock_beta_mo(i,j)
enddo
! Open
do i = elec_beta_num+1, elec_alpha_num
mcscf_fock_mo(i,j) = 0.5d0 * mcscf_fock_alpha_mo(i,j) &
+ 0.5d0 * mcscf_fock_beta_mo(i,j)
enddo
! Virtual
do i = elec_alpha_num+1, mo_num
mcscf_fock_mo(i,j) = mcscf_fock_alpha_mo(i,j)
enddo
enddo
! Virtual
do j = elec_alpha_num+1, mo_num
! Core
do i = 1, elec_beta_num
mcscf_fock_mo(i,j) = 0.5d0 * mcscf_fock_alpha_mo(i,j) &
+ 0.5d0 * mcscf_fock_beta_mo(i,j)
enddo
! Open
do i = elec_beta_num+1, elec_alpha_num
mcscf_fock_mo(i,j) = mcscf_fock_alpha_mo(i,j)
enddo
! Virtual
do i = elec_alpha_num+1, mo_num
mcscf_fock_mo(i,j) = 1.5d0 * mcscf_fock_alpha_mo(i,j) &
- 0.5d0 * mcscf_fock_beta_mo(i,j)
enddo
enddo
endif
do i = 1, mo_num
mcscf_fock_diag_mo(i) = mcscf_fock_mo(i,i)
enddo
END_PROVIDER

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BEGIN_PROVIDER [real*8, occnum, (mo_num)]
implicit none
BEGIN_DOC
! MO occupation numbers
END_DOC
integer :: i
occnum=0.D0
do i=1,n_core_inact_orb
occnum(list_core_inact(i))=2.D0
end do
do i=1,n_act_orb
occnum(list_act(i))=occ_act(i)
end do
if (bavard) then
write(6,*) ' occupation numbers '
do i=1,mo_num
write(6,*) i,occnum(i)
end do
endif
END_PROVIDER
BEGIN_PROVIDER [ real*8, natorbsCI, (n_act_orb,n_act_orb) ]
&BEGIN_PROVIDER [ real*8, occ_act, (n_act_orb) ]
implicit none
BEGIN_DOC
! Natural orbitals of CI
END_DOC
integer :: i, j
double precision :: Vt(n_act_orb,n_act_orb)
! call lapack_diag(occ_act,natorbsCI,D0tu,n_act_orb,n_act_orb)
call svd(D0tu, size(D0tu,1), natorbsCI,size(natorbsCI,1), occ_act, Vt, size(Vt,1),n_act_orb,n_act_orb)
if (bavard) then
write(6,*) ' found occupation numbers as '
do i=1,n_act_orb
write(6,*) i,occ_act(i)
end do
integer :: nmx
real*8 :: xmx
do i=1,n_act_orb
! largest element of the eigenvector should be positive
xmx=0.D0
nmx=0
do j=1,n_act_orb
if (abs(natOrbsCI(j,i)).gt.xmx) then
nmx=j
xmx=abs(natOrbsCI(j,i))
end if
end do
xmx=sign(1.D0,natOrbsCI(nmx,i))
do j=1,n_act_orb
natOrbsCI(j,i)*=xmx
end do
write(6,*) ' Eigenvector No ',i
write(6,'(5(I3,F12.5))') (j,natOrbsCI(j,i),j=1,n_act_orb)
end do
end if
END_PROVIDER
BEGIN_PROVIDER [real*8, P0tuvx_no, (n_act_orb,n_act_orb,n_act_orb,n_act_orb)]
implicit none
BEGIN_DOC
! 4-index transformation of 2part matrices
END_DOC
integer :: i,j,k,l,p,q
real*8 :: d(n_act_orb)
! index per index
! first quarter
P0tuvx_no(:,:,:,:) = P0tuvx(:,:,:,:)
do j=1,n_act_orb
do k=1,n_act_orb
do l=1,n_act_orb
do p=1,n_act_orb
d(p)=0.D0
end do
do p=1,n_act_orb
do q=1,n_act_orb
d(p)+=P0tuvx_no(q,j,k,l)*natorbsCI(q,p)
end do
end do
do p=1,n_act_orb
P0tuvx_no(p,j,k,l)=d(p)
end do
end do
end do
end do
! 2nd quarter
do j=1,n_act_orb
do k=1,n_act_orb
do l=1,n_act_orb
do p=1,n_act_orb
d(p)=0.D0
end do
do p=1,n_act_orb
do q=1,n_act_orb
d(p)+=P0tuvx_no(j,q,k,l)*natorbsCI(q,p)
end do
end do
do p=1,n_act_orb
P0tuvx_no(j,p,k,l)=d(p)
end do
end do
end do
end do
! 3rd quarter
do j=1,n_act_orb
do k=1,n_act_orb
do l=1,n_act_orb
do p=1,n_act_orb
d(p)=0.D0
end do
do p=1,n_act_orb
do q=1,n_act_orb
d(p)+=P0tuvx_no(j,k,q,l)*natorbsCI(q,p)
end do
end do
do p=1,n_act_orb
P0tuvx_no(j,k,p,l)=d(p)
end do
end do
end do
end do
! 4th quarter
do j=1,n_act_orb
do k=1,n_act_orb
do l=1,n_act_orb
do p=1,n_act_orb
d(p)=0.D0
end do
do p=1,n_act_orb
do q=1,n_act_orb
d(p)+=P0tuvx_no(j,k,l,q)*natorbsCI(q,p)
end do
end do
do p=1,n_act_orb
P0tuvx_no(j,k,l,p)=d(p)
end do
end do
end do
end do
END_PROVIDER
BEGIN_PROVIDER [real*8, one_ints_no, (mo_num,mo_num)]
implicit none
BEGIN_DOC
! Transformed one-e integrals
END_DOC
integer :: i,j, p, q
real*8 :: d(n_act_orb)
one_ints_no(:,:)=mo_one_e_integrals(:,:)
! 1st half-trf
do j=1,mo_num
do p=1,n_act_orb
d(p)=0.D0
end do
do p=1,n_act_orb
do q=1,n_act_orb
d(p)+=one_ints_no(list_act(q),j)*natorbsCI(q,p)
end do
end do
do p=1,n_act_orb
one_ints_no(list_act(p),j)=d(p)
end do
end do
! 2nd half-trf
do j=1,mo_num
do p=1,n_act_orb
d(p)=0.D0
end do
do p=1,n_act_orb
do q=1,n_act_orb
d(p)+=one_ints_no(j,list_act(q))*natorbsCI(q,p)
end do
end do
do p=1,n_act_orb
one_ints_no(j,list_act(p))=d(p)
end do
end do
END_PROVIDER
BEGIN_PROVIDER [ double precision, NatOrbsCI_mos, (mo_num, mo_num) ]
implicit none
BEGIN_DOC
! Rotation matrix from current MOs to the CI natural MOs
END_DOC
integer :: p,q
NatOrbsCI_mos(:,:) = 0.d0
do q = 1,mo_num
NatOrbsCI_mos(q,q) = 1.d0
enddo
do q = 1,n_act_orb
do p = 1,n_act_orb
NatOrbsCI_mos(list_act(p),list_act(q)) = natorbsCI(p,q)
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [real*8, NatOrbsFCI, (ao_num,mo_num)]
implicit none
BEGIN_DOC
! FCI natural orbitals
END_DOC
call dgemm('N','N', ao_num,mo_num,mo_num,1.d0, &
mo_coef, size(mo_coef,1), &
NatOrbsCI_mos, size(NatOrbsCI_mos,1), 0.d0, &
NatOrbsFCI, size(NatOrbsFCI,1))
END_PROVIDER

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BEGIN_PROVIDER [real*8, SXmatrix, (nMonoEx+1,nMonoEx+1)]
&BEGIN_PROVIDER [integer, n_guess_sx_mat ]
implicit none
BEGIN_DOC
! Single-excitation matrix
END_DOC
integer :: i,j
do i=1,nMonoEx+1
do j=1,nMonoEx+1
SXmatrix(i,j)=0.D0
end do
end do
do i=1,nMonoEx
SXmatrix(1,i+1)=gradvec2(i)
SXmatrix(1+i,1)=gradvec2(i)
end do
if(diag_hess_cas)then
do i = 1, nMonoEx
SXmatrix(i+1,i+1) = hessdiag(i)
enddo
else
do i=1,nMonoEx
do j=1,nMonoEx
SXmatrix(i+1,j+1)=hessmat(i,j)
SXmatrix(j+1,i+1)=hessmat(i,j)
end do
end do
endif
do i = 1, nMonoEx
SXmatrix(i+1,i+1) += level_shift_casscf
enddo
n_guess_sx_mat = 1
do i = 1, nMonoEx
if(SXmatrix(i+1,i+1).lt.0.d0 )then
n_guess_sx_mat += 1
endif
enddo
if (bavard) then
do i=2,nMonoEx
write(6,*) ' diagonal of the Hessian : ',i,hessmat(i,i)
end do
end if
END_PROVIDER
BEGIN_PROVIDER [real*8, SXeigenvec, (nMonoEx+1,nMonoEx+1)]
&BEGIN_PROVIDER [real*8, SXeigenval, (nMonoEx+1)]
implicit none
BEGIN_DOC
! Eigenvectors/eigenvalues of the single-excitation matrix
END_DOC
if(nMonoEx+1.gt.n_det_max_full)then
if(bavard)then
print*,'Using the Davidson algorithm to diagonalize the SXmatrix'
endif
double precision, allocatable :: u_in(:,:),energies(:)
allocate(u_in(nMonoEx+1,n_states_diag),energies(n_guess_sx_mat))
call davidson_diag_sx_mat(n_guess_sx_mat, u_in, energies)
integer :: i,j
SXeigenvec = 0.d0
SXeigenval = 0.d0
do i = 1, n_guess_sx_mat
SXeigenval(i) = energies(i)
do j = 1, nMonoEx+1
SXeigenvec(j,i) = u_in(j,i)
enddo
enddo
else
if(bavard)then
print*,'Diagonalize the SXmatrix with Jacobi'
endif
call lapack_diag(SXeigenval,SXeigenvec,SXmatrix,nMonoEx+1,nMonoEx+1)
endif
if (bavard) then
write(6,*) ' SXdiag : lowest eigenvalues '
write(6,*) ' 1 - ',SXeigenval(1),SXeigenvec(1,1)
if(n_guess_sx_mat.gt.0)then
write(6,*) ' 2 - ',SXeigenval(2),SXeigenvec(1,2)
write(6,*) ' 3 - ',SXeigenval(3),SXeigenvec(1,3)
write(6,*) ' 4 - ',SXeigenval(4),SXeigenvec(1,4)
write(6,*) ' 5 - ',SXeigenval(5),SXeigenvec(1,5)
endif
write(6,*)
write(6,*) ' SXdiag : lowest eigenvalue = ',SXeigenval(1)
endif
END_PROVIDER
BEGIN_PROVIDER [real*8, energy_improvement]
implicit none
if(state_following_casscf)then
energy_improvement = SXeigenval(best_vector_ovrlp_casscf)
else
energy_improvement = SXeigenval(1)
endif
END_PROVIDER
BEGIN_PROVIDER [ integer, best_vector_ovrlp_casscf ]
&BEGIN_PROVIDER [ double precision, best_overlap_casscf ]
implicit none
integer :: i
double precision :: c0
best_overlap_casscf = 0.D0
best_vector_ovrlp_casscf = -1000
do i=1,nMonoEx+1
if (SXeigenval(i).lt.0.D0) then
if (dabs(SXeigenvec(1,i)).gt.best_overlap_casscf) then
best_overlap_casscf=dabs(SXeigenvec(1,i))
best_vector_ovrlp_casscf = i
end if
end if
end do
if(best_vector_ovrlp_casscf.lt.0)then
best_vector_ovrlp_casscf = minloc(SXeigenval,nMonoEx+1)
endif
c0=SXeigenvec(1,best_vector_ovrlp_casscf)
if (bavard) then
write(6,*) ' SXdiag : eigenvalue for best overlap with '
write(6,*) ' previous orbitals = ',SXeigenval(best_vector_ovrlp_casscf)
write(6,*) ' weight of the 1st element ',c0
endif
END_PROVIDER
BEGIN_PROVIDER [double precision, SXvector, (nMonoEx+1)]
implicit none
BEGIN_DOC
! Best eigenvector of the single-excitation matrix
END_DOC
integer :: i
double precision :: c0
c0=SXeigenvec(1,best_vector_ovrlp_casscf)
do i=1,nMonoEx+1
SXvector(i)=SXeigenvec(i,best_vector_ovrlp_casscf)/c0
end do
END_PROVIDER
BEGIN_PROVIDER [double precision, NewOrbs, (ao_num,mo_num) ]
implicit none
BEGIN_DOC
! Updated orbitals
END_DOC
integer :: i,j,ialph
if(state_following_casscf)then
print*,'Using the state following casscf '
call dgemm('N','T', ao_num,mo_num,mo_num,1.d0, &
NatOrbsFCI, size(NatOrbsFCI,1), &
Umat, size(Umat,1), 0.d0, &
NewOrbs, size(NewOrbs,1))
level_shift_casscf *= 0.5D0
level_shift_casscf = max(level_shift_casscf,0.002d0)
!touch level_shift_casscf
else
if(best_vector_ovrlp_casscf.ne.1.and.n_orb_swap.ne.0)then
print*,'Taking the lowest root for the CASSCF'
print*,'!!! SWAPPING MOS !!!!!!'
level_shift_casscf *= 2.D0
level_shift_casscf = min(level_shift_casscf,0.5d0)
print*,'level_shift_casscf = ',level_shift_casscf
NewOrbs = switch_mo_coef
!mo_coef = switch_mo_coef
!soft_touch mo_coef
!call save_mos_no_occ
!stop
else
level_shift_casscf *= 0.5D0
level_shift_casscf = max(level_shift_casscf,0.002d0)
!touch level_shift_casscf
call dgemm('N','T', ao_num,mo_num,mo_num,1.d0, &
NatOrbsFCI, size(NatOrbsFCI,1), &
Umat, size(Umat,1), 0.d0, &
NewOrbs, size(NewOrbs,1))
endif
endif
END_PROVIDER
BEGIN_PROVIDER [real*8, Umat, (mo_num,mo_num) ]
implicit none
BEGIN_DOC
! Orbital rotation matrix
END_DOC
integer :: i,j,indx,k,iter,t,a,ii,tt,aa
logical :: converged
real*8 :: Tpotmat (mo_num,mo_num), Tpotmat2 (mo_num,mo_num)
real*8 :: Tmat(mo_num,mo_num)
real*8 :: f
! the orbital rotation matrix T
Tmat(:,:)=0.D0
indx=1
do i=1,n_core_inact_orb
ii=list_core_inact(i)
do t=1,n_act_orb
tt=list_act(t)
indx+=1
Tmat(ii,tt)= SXvector(indx)
Tmat(tt,ii)=-SXvector(indx)
end do
end do
do i=1,n_core_inact_orb
ii=list_core_inact(i)
do a=1,n_virt_orb
aa=list_virt(a)
indx+=1
Tmat(ii,aa)= SXvector(indx)
Tmat(aa,ii)=-SXvector(indx)
end do
end do
do t=1,n_act_orb
tt=list_act(t)
do a=1,n_virt_orb
aa=list_virt(a)
indx+=1
Tmat(tt,aa)= SXvector(indx)
Tmat(aa,tt)=-SXvector(indx)
end do
end do
! Form the exponential
Tpotmat(:,:)=0.D0
Umat(:,:) =0.D0
do i=1,mo_num
Tpotmat(i,i)=1.D0
Umat(i,i) =1.d0
end do
iter=0
converged=.false.
do while (.not.converged)
iter+=1
f = 1.d0 / dble(iter)
Tpotmat2(:,:) = Tpotmat(:,:) * f
call dgemm('N','N', mo_num,mo_num,mo_num,1.d0, &
Tpotmat2, size(Tpotmat2,1), &
Tmat, size(Tmat,1), 0.d0, &
Tpotmat, size(Tpotmat,1))
Umat(:,:) = Umat(:,:) + Tpotmat(:,:)
converged = ( sum(abs(Tpotmat(:,:))) < 1.d-6).or.(iter>30)
end do
END_PROVIDER

70
src/casscf_cipsi/reorder_orb.irp.f Normal file
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@ -0,0 +1,70 @@
subroutine reorder_orbitals_for_casscf
implicit none
BEGIN_DOC
! routine that reorders the orbitals of the CASSCF in terms block of core, active and virtual
END_DOC
integer :: i,j,iorb
integer, allocatable :: iorder(:),array(:)
allocate(iorder(mo_num),array(mo_num))
do i = 1, n_core_orb
iorb = list_core(i)
array(iorb) = i
enddo
do i = 1, n_inact_orb
iorb = list_inact(i)
array(iorb) = mo_num + i
enddo
do i = 1, n_act_orb
iorb = list_act(i)
array(iorb) = 2 * mo_num + i
enddo
do i = 1, n_virt_orb
iorb = list_virt(i)
array(iorb) = 3 * mo_num + i
enddo
do i = 1, mo_num
iorder(i) = i
enddo
call isort(array,iorder,mo_num)
double precision, allocatable :: mo_coef_new(:,:)
allocate(mo_coef_new(ao_num,mo_num))
do i = 1, mo_num
mo_coef_new(:,i) = mo_coef(:,iorder(i))
enddo
mo_coef = mo_coef_new
touch mo_coef
list_core_reverse = 0
do i = 1, n_core_orb
list_core(i) = i
list_core_reverse(i) = i
mo_class(i) = "Core"
enddo
list_inact_reverse = 0
do i = 1, n_inact_orb
list_inact(i) = i + n_core_orb
list_inact_reverse(i+n_core_orb) = i
mo_class(i+n_core_orb) = "Inactive"
enddo
list_act_reverse = 0
do i = 1, n_act_orb
list_act(i) = n_core_inact_orb + i
list_act_reverse(n_core_inact_orb + i) = i
mo_class(n_core_inact_orb + i) = "Active"
enddo
list_virt_reverse = 0
do i = 1, n_virt_orb
list_virt(i) = n_core_inact_orb + n_act_orb + i
list_virt_reverse(n_core_inact_orb + n_act_orb + i) = i
mo_class(n_core_inact_orb + n_act_orb + i) = "Virtual"
enddo
touch list_core_reverse list_core list_inact list_inact_reverse list_act list_act_reverse list_virt list_virt_reverse
end

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