Hi everyone in cp2k community,
I am very curious about if CP2K can EMBED or MIXED DFTB and normal XC calculation together. I noticed in the CP2K tests there was an example (regtest-embed/H2O_H2_pbe_mp2.inp) which EMBED pbe and mp2 sections together. So, I am set up a DFTB-MP2 embed calculation just like the example before. Unfortunately, I failed and got following message,
>>>>>
application called MPI_Abort(MPI_COMM_WORLD, 1) - process 0
[unset]: write_line error; fd=-1 buf=:cmd=abort exitcode=1
:
system msg for write_line failure : Bad file descriptor
<<<<
what can I do next? I post my input file in the end. Any advice would be greatly appreciated!
Best regards
LinFeng
&GLOBAL
PROJECT h2o_h2_dftb
PRINT_LEVEL HIGH
RUN_TYPE ENERGY_FORCE
&END GLOBAL
&MULTIPLE_FORCE_EVALS
FORCE_EVAL_ORDER 2 3 4 5
MULTIPLE_SUBSYS T
&END MULTIPLE_FORCE_EVALS
&FORCE_EVAL
METHOD EMBED
&EMBED
NGROUPS 1
&MAPPING
&FORCE_EVAL_EMBED
&FRAGMENT 1
1 3
&END
&FRAGMENT 2
4 5
&END
&FRAGMENT 3
1 5
&END
&END
&FORCE_EVAL 1
&FRAGMENT 1
1 3
MAP 1
&END
&END
&FORCE_EVAL 2
&FRAGMENT 1
1 2
MAP 2
&END
&END
&FORCE_EVAL 3
&FRAGMENT 1
1 5
MAP 3
&END
&END
&FORCE_EVAL 4
&FRAGMENT 1
1 2
MAP 2
&END
&END
&END
&END EMBED
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&KIND H
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q1
&END KIND
&KIND O
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q6
&END KIND
&COORD
O 1.75 1.5 0.0
H 1.0 1.0 0.0
H 2.5 1.0 0.0
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END
&END SUBSYS
&END FORCE_EVAL
!******************************************************************************
!FORCE_EVA section 1 Subsys 1
!******************************************************************************
&FORCE_EVAL
METHOD Quickstep
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&COORD
O 1.75 1.5 0.0
H 1.0 1.0 0.0
H 2.5 1.0 0.0
&END COORD
&KIND H
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q1
&END KIND
&KIND O
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q6
&END KIND
&END SUBSYS
&DFT
&QS
METHOD DFTB
&DFTB
SELF_CONSISTENT TRUE
DO_EWALD TRUE
DISPERSION TRUE
DIAGONAL_DFTB3 TRUE
HB_SR_GAMMA TRUE
&PARAMETER
PARAM_FILE_PATH DFTB/3ob-3-1
PARAM_FILE_NAME 3ob-3-1.parameter
DISPERSION_TYPE D3
DISPERSION_RADIUS 15.
COORDINATION_CUTOFF 1.e-4
D3_SCALING 1.0 1.0 1.5
DISPERSION_PARAMETER_FILE dftd3.dat
&END PARAMETER
&END DFTB
&END QS
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
PERIODIC NONE
&END POISSON
&SCF
MAX_SCF 100 !Maximum number of SCF iteration
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&END DFT
STRESS_TENSOR ANALYTICAL
&END FORCE_EVAL
!******************************************************************************
!FORCE_EVA section 2 Subsys 2
!******************************************************************************
&FORCE_EVAL
METHOD Quickstep
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&KIND H
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q1
&END KIND
&KIND O
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q6
&END KIND
&COORD
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END COORD
&END SUBSYS
&DFT
&QS
CLUSTER_EMBED_SUBSYS .TRUE.
METHOD DFTB
&DFTB
SELF_CONSISTENT TRUE
DO_EWALD TRUE
DISPERSION TRUE
DIAGONAL_DFTB3 TRUE
HB_SR_GAMMA TRUE
!the default parameter files localed in data/DFTB/
&PARAMETER
PARAM_FILE_PATH DFTB/3ob-3-1
PARAM_FILE_NAME 3ob-3-1.parameter
DISPERSION_TYPE D3
DISPERSION_RADIUS 15.
COORDINATION_CUTOFF 1.e-4
D3_SCALING 1.0 1.0 1.5
DISPERSION_PARAMETER_FILE dftd3.dat
&END PARAMETER
&END DFTB
&END QS
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
PERIODIC NONE
&END POISSON
&SCF
SCF_GUESS ATOMIC !initial guess for the wavefunction.
MAX_SCF 100 !Maximum number of SCF iteration
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&END DFT
STRESS_TENSOR ANALYTICAL
&END FORCE_EVAL
!******************************************************************************
!FORCE_EVA section 3 Total system
!******************************************************************************
&FORCE_EVAL
METHOD Quickstep
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&COORD
O 1.75 1.5 0.0
H 1.0 1.0 0.0
H 2.5 1.0 0.0
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END COORD
&KIND H
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q1
&END KIND
&KIND O
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q6
&END KIND
&END SUBSYS
&DFT
&QS
REF_EMBED_SUBSYS .TRUE.
!&OPT_EMBED
! REG_LAMBDA 0.00001
! N_ITER 3
! DENS_CONV_INT 0.5
! DENS_CONV_MAX 0.025
! OPTIMIZER QUASI_NEWTON
! GRID_OPT .FALSE.
!&END OPT_EMBED
&OPT_DMFET
&END
EPS_DEFAULT 1.0E-10 !Default value: 1.00000000E-010
METHOD DFTB
&DFTB
SELF_CONSISTENT TRUE
DO_EWALD TRUE
DISPERSION TRUE
DIAGONAL_DFTB3 TRUE
HB_SR_GAMMA TRUE
!the default parameter files localed in data/DFTB/
&PARAMETER
PARAM_FILE_PATH DFTB/3ob-3-1
PARAM_FILE_NAME 3ob-3-1.parameter
DISPERSION_TYPE D3
DISPERSION_RADIUS 15.
COORDINATION_CUTOFF 1.e-4
D3_SCALING 1.0 1.0 1.5
DISPERSION_PARAMETER_FILE dftd3.dat
&END PARAMETER
&END DFTB
&END QS
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
PERIODIC NONE
&END POISSON
&SCF
SCF_GUESS ATOMIC !initial guess for the wavefunction.
MAX_SCF 100 !Maximum number of SCF iteration
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&END DFT
STRESS_TENSOR ANALYTICAL
&END FORCE_EVAL
!******************************************************************************
!FORCE_EVA section 4 Higher level calculation on subsys 2
!******************************************************************************
&FORCE_EVAL
METHOD Quickstep
&DFT
BASIS_SET_FILE_NAME BASIS_RI_cc-TZ
POTENTIAL_FILE_NAME HF_POTENTIALS
&MGRID
CUTOFF 100
REL_CUTOFF 20
&END MGRID
&POISSON
&END POISSON
&QS
HIGH_LEVEL_EMBED_SUBSYS
METHOD GPW
EPS_DEFAULT 1.0E-15
EPS_PGF_ORB 1.0E-30
&END QS
&SCF
SCF_GUESS ATOMIC !initial guess for the wavefunction.
MAX_SCF 100 !Maximum number of SCF iteration
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&XC
&XC_FUNCTIONAL PBE
&END XC_FUNCTIONAL
&END XC
&END DFT
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&KIND H
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q1
&END KIND
&KIND O
BASIS_SET cc-TZ
BASIS_SET RI_AUX RI_TZ
POTENTIAL GTH-HF-q6
&END KIND
&COORD
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END
&END SUBSYS
&END FORCE_EVAL
Hi Vladimir,
Thanks for your advices.
I had done some tests as you suggested. First, I run all the following tests only on run type ENERGY.
Second, I noted there two ways to run embedded calculations, DFET and DMFET which local in CP2K_INPUT / FORCE_EVAL / EMBED. So, I tried the DFET and DMFET embedded respective, but unfortunately, I failed them both.
In the DFET method, I was using,
FORCE_EVA section 1
!******************************************************************************
&FORCE_EVAL
METHOD EMBED
!******************************************************************************
!FORCE_EVA section 4 Total system
!******************************************************************************
&OPT_EMBED
REG_LAMBDA 0.00001
N_ITER 3
DENS_CONV_INT 0.5
DENS_CONV_MAX 0.025
OPTIMIZER QUASI_NEWTON
GRID_OPT .FALSE.
&END OPT_EMBED
And in the DMFET method, I was using
!******************************************************************************
!FORCE_EVA section 1
!******************************************************************************
&FORCE_EVAL
METHOD EMBED
!Select DFET or DMFET. Default value: DFET
&EMBED DMFET
NGROUPS 1
!******************************************************************************
!FORCE_EVA section 4 Total system
!******************************************************************************
Both of the DFET and DMFET embedded runs, I got the same error massages in the output files.
application called MPI_Abort(MPI_COMM_WORLD, 1) - process 0
[unset]: write_line error; fd=-1 buf=:cmd=abort exitcode=1
:
system msg for write_line failure : Bad file descriptor
in the DFET runs, I got following error massages,
-------- Optimize embedding potential info at step = 1 ------------
Functional value = -4.7317737943
Trust radius = 0.5000000000
---------------------------------------------------
Convergence check :
Maximum density difference = 1.0000000021
Convergence limit for max. density diff. = 0.0250000000
Convergence in max. density diff. = NO
Integrated density difference = NaN
Conv. limit for integrated density diff. = 0.5000000000
Convergence in integrated density diff. = NO
Integrated squared density difference = NaN
Maximum density change in:
subsystem 1, spin 1: 0.0000000000
subsystem 2, spin 1:********************
*******************************************************************************
* ___ *
* / \ *
* [ABORT] *
* \___/ The pointer gto_basis_set is not associated *
* | *
* O/| *
* /| | *
* / \ aobasis/basis_set_types.F:791 *
*******************************************************************************
and in the DMFET runs, I got following error massage in the h2o_h2_dftb_mp2_DMFET-r-1.out
-------- Optimize embedding potential info at step = 50 ------------
Functional value = NaN
Real energy change = NaN
Step size = 0.5000000000
Trust radius = 0.5000000000
---------------------------------------------------
Convergence check :
Maximum density difference = ********************
Convergence limit for max. density diff. = 0.0100000000
Convergence in max. density diff. = NO
Integrated density difference = NaN
Conv. limit for integrated density diff. = 0.1000000000
Convergence in integrated density diff. = NO
Integrated squared density difference = NaN
Maximum density change in:
subsystem 1, spin 1: 0.0000000000
subsystem 2, spin 1: 0.0000000000
*******************************************************************************
* ___ *
* / \ *
* [ABORT] *
* \___/ Embedding potential optimization not converged. *
* | *
* O/| *
* /| | *
* / \ force_env_methods.F:1483 *
*******************************************************************************
Do I miss something in the input files? Do you have any suggests?
Thanks again,
Linfeng
Hi everyone in cp2k community,
Hi Vladimir,
Thanks for the info and for the clarification on the using of ‘DMFET'. I'm looking forward for your testing results.
Regards,
Linfeng
Hi Vladimir,
Thanks for your feedback. But there are still something confusing me. The input which I used was simply modified form “tests/QS/regtest-embed/H2O_H2_pbe_mp2.inp” in the CP2K test dir. Correct me if I understand the input keyword wrong.
In the input system, there are a water molecular and a hydrogen molecular.
(1) Question one
The MULTIPLE_FORCE_EVALS section, I set
FORCE_EVAL_ORDER 2 3 4 5
So, there should be 5 FORCE_EVAL sections in my input file. Am I correct?
(2) Question two
!*******************************
!FORCE_EVA section 1
!
!mapping the fragments
!*******************************
The first FORCE_EVA section should be descripting how the other 4 FORCE_EVAL embed and how to mapping the fragments. The Am I correct?
(3) Question three
!*******************************
!FORCE_EVA section 2
!
!Subsys 1 the H2O molecular
!*******************************
The second FORCE_EVA section should be descripting how to calculate the H2O molecular energy with DFTB.
(4) Question 4
!*******************************
!FORCE_EVA section 3
!
!Subsys 2 the H2 molecular
!*******************************
&DFT
&QS
CLUSTER_EMBED_SUBSYS .TRUE.
&END QS
&END DFT
The third FORCE_EVA section should be descripting how to calculate the H2 molecular energy with DFTB. This is the embedded cluster and the CLUSTER_EMBED_SUBSYS .TRUE. is set.
(5) Question five
!*******************************
!FORCE_EVA section 4
!
!Total system including H2O and H2
!*******************************
&DFT
&QS
REF_EMBED_SUBSYS .TRUE.
&OPT_EMBED
REG_LAMBDA 0.00001
N_ITER 3
DENS_CONV_INT 0.5
DENS_CONV_MAX 0.025
OPTIMIZER QUASI_NEWTON
GRID_OPT .FALSE.
&END OPT_EMBED
&END QS
&END DFT
The fourth FORCE_EVA section descripting how to calculate the total system, including H2O and H2 molecular, energy with DFTB. Because this is the total system, the REF_EMBED_SUBSYS .TRUE. is set.
(6) Question six
!*******************************
!FORCE_EVA section 5
!
!Higher level calculation on subsys 2, the H2O
!*******************************
&DFT
&QS
HIGH_LEVEL_EMBED_SUBSYS .TRUE.
&END QS
&END DFT
The fifth FORCE_EVA section descripting how to calculate the higher level system, in this case H2, energy with PBE. The HIGH_LEVEL_EMBED_SUBSYS .TRUE. should be set in this section.
To avoid the grid influence I set the same grids for all the subsystem as follow,
&MGRID
NGRIDS 5
CUTOFF 600
REL_CUTOFF 60
&END MGRID
But I still got the same error,
*******************************************************************************
* ___ *
* / \ *
* [ABORT] *
* \___/ The pointer gto_basis_set is not associated *
* | *
* O/| *
* /| | *
* / \ aobasis/basis_set_types.F:791 *
*******************************************************************************
What should I do next? I post my input file in the end of this,
Regards,
Linfeng
&GLOBAL
PROJECT h2o_h2_dftb_pbe_DFET
PRINT_LEVEL HIGH
RUN_TYPE ENERGY
&END GLOBAL
&MULTIPLE_FORCE_EVALS
FORCE_EVAL_ORDER 2 3 4 5
MULTIPLE_SUBSYS T
&END MULTIPLE_FORCE_EVALS
!*******************************
!FORCE_EVA section 1
!
!mapping the fragments
!*******************************
&FORCE_EVAL
METHOD EMBED
!Select DFET or DMFET. Default value: DFET
&EMBED DFET
&COORD
O 1.75 1.5 0.0
H 1.0 1.0 0.0
H 2.5 1.0 0.0
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END
&END SUBSYS
&END FORCE_EVAL
!*******************************
!FORCE_EVA section 2
!
!Subsys 1 the H2O molecular
!*******************************
&FORCE_EVAL
METHOD Quickstep
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&COORD
O 1.75 1.5 0.0
H 1.0 1.0 0.0
H 2.5 1.0 0.0
&END COORD
&END SUBSYS
&DFT
&QS
METHOD DFTB
&DFTB
SELF_CONSISTENT T
&PARAMETER
PARAM_FILE_PATH DFTB/scc
PARAM_FILE_NAME scc_parameter
UFF_FORCE_FIELD ../uff_table
&END PARAMETER
&END DFTB
&END QS
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
&END POISSON
&MGRID
NGRIDS 5
CUTOFF 600
REL_CUTOFF 60
&END MGRID
&SCF
MAX_SCF 100 !Maximum number of SCF iteration
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&END DFT
STRESS_TENSOR ANALYTICAL
&END FORCE_EVAL
!*******************************
!FORCE_EVA section 3
!
!Subsys 2 the H2 molecular
!*******************************
&FORCE_EVAL
METHOD Quickstep
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&COORD
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END COORD
&END SUBSYS
&DFT
&QS
CLUSTER_EMBED_SUBSYS .TRUE.
METHOD DFTB
&DFTB
SELF_CONSISTENT T
&PARAMETER
PARAM_FILE_PATH DFTB/scc
PARAM_FILE_NAME scc_parameter
UFF_FORCE_FIELD ../uff_table
&END PARAMETER
&END DFTB
&END QS
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
&END POISSON
&MGRID
NGRIDS 5
CUTOFF 600
REL_CUTOFF 60
&END MGRID
&SCF
MAX_SCF 100
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&END DFT
STRESS_TENSOR ANALYTICAL
&END FORCE_EVAL
!*******************************
!FORCE_EVA section 4
!
!Total system including H2O and H2
!*******************************
&FORCE_EVAL
METHOD Quickstep
&SUBSYS
&CELL
ABC [angstrom] 5.000 5.000 5.000
&END CELL
&COORD
O 1.75 1.5 0.0
H 1.0 1.0 0.0
H 2.5 1.0 0.0
H 1.75 2.75 0.0
H 1.75 3.50 0.0
&END COORD
&END SUBSYS
&DFT
&QS
REF_EMBED_SUBSYS .TRUE.
&OPT_EMBED
REG_LAMBDA 0.00001
N_ITER 3
DENS_CONV_INT 0.5
DENS_CONV_MAX 0.025
OPTIMIZER QUASI_NEWTON
GRID_OPT .FALSE.
&END OPT_EMBED
!&OPT_DMFET
!&END
EPS_DEFAULT 1.0E-10 !Default value: 1.00000000E-010
METHOD DFTB
&DFTB
SELF_CONSISTENT T
&PARAMETER
PARAM_FILE_PATH DFTB/scc
PARAM_FILE_NAME scc_parameter
UFF_FORCE_FIELD ../uff_table
&END PARAMETER
&END DFTB
&END QS
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
&END POISSON
&MGRID
NGRIDS 5
CUTOFF 600
REL_CUTOFF 60
&END MGRID
&SCF
MAX_SCF 100
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&END DFT
STRESS_TENSOR ANALYTICAL
&END FORCE_EVAL
!*******************************
!FORCE_EVA section 5
!
!Higher level calculation on subsys 2, the H2O
!*******************************
&FORCE_EVAL
METHOD Quickstep
&DFT
BASIS_SET_FILE_NAME BASIS_RI_cc-TZ
POTENTIAL_FILE_NAME HF_POTENTIALS
&QS
HIGH_LEVEL_EMBED_SUBSYS .TRUE.
METHOD GPW
EPS_DEFAULT 1.0E-15
EPS_PGF_ORB 1.0E-30
&END QS
&SCF
MAX_SCF 100
&OT
PRECONDITIONER FULL_SINGLE_INVERSE
MINIMIZER DIIS
&END OT
&END SCF
&XC
&XC_FUNCTIONAL PBE
&END XC_FUNCTIONAL
&END XC
&POISSON
&EWALD
EWALD_TYPE SPME
GMAX 25
&END EWALD
POISSON_SOLVER ANALYTIC
&END POISSON
&MGRID
NGRIDS 5
CUTOFF 600
REL_CUTOFF 60
&END MGRID
Dear Vladimir,
It worked after I set GRID_OPT to be TRUE.! Thank your Vladimir.
I still need some your help since I has not much experiences in the EMBED calculations. I found that the embedding DFTB and PDB calculations were very hard to converged even after 100 optimize steps for H2O-H2 system. For example, after 50 iterations, I got following error massage,
-------- Optimize embedding potential info at step = 50 ------------
Functional value = NaN
Real energy change = NaN
Step size = 0.5000000000
Trust radius = 0.5000000000
---------------------------------------------------
Convergence check :
Maximum density difference = ********************
Convergence limit for max. density diff. = 0.0250000000
Convergence in max. density diff. = NO
Integrated density difference = NaN
Conv. limit for integrated density diff. = 0.5000000000
Convergence in integrated density diff. = NO
Integrated squared density difference = NaN
Maximum density change in:
subsystem 1, spin 1: 0.0000000000
subsystem 2, spin 1: 0.0000000000
*******************************************************************************
* ___ *
* / \ *
* [ABORT] *
* \___/ Embedding potential optimization not converged. *
* | *
* O/| *
* /| | *
* / \ force_env_methods.F:1483 *
*******************************************************************************
As you can see, the “Integrated density difference” value was NaN and the embedding potential optimization was not converged. And I found that the embedding potential was also NaN too which wrote in the h2o_h2_dftb_pbe_DFET-embed_pot_*.cube files. Is these normal output for the embed calculation? Or how can I fix this?
Quickstep-
EMBEDDING POTENTIAL at optimization step 1
5 0.000000 0.000000 0.000000
75 0.125982 0.000000 0.000000
75 0.000000 0.125982 0.000000
75 0.000000 0.000000 0.125982
8 0.000000 3.307021 2.834589 0.000000
1 0.000000 1.889726 1.889726 0.000000
1 0.000000 4.724315 1.889726 0.000000
1 0.000000 3.307021 5.196747 0.000000
1 0.000000 3.307021 6.614041 0.000000
NaN NaN 0.00000E+00 NaN NaN NaN
0.00000E+00 NaN 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
NaN 0.00000E+00 0.00000E+00 NaN 0.00000E+00 NaN
0.00000E+00 NaN NaN NaN NaN 0.00000E+00
NaN 0.00000E+00 0.00000E+00 0.00000E+00 NaN NaN
0.00000E+00 0.00000E+00 NaN NaN NaN 0.00000E+00
0.00000E+00 NaN NaN 0.00000E+00 NaN 0.00000E+00
0.00000E+00 0.00000E+00 NaN NaN 0.00000E+00 0.00000E+00
NaN 0.00000E+00 0.00000E+00 NaN NaN 0.00000E+00
NaN NaN NaN 0.00000E+00 NaN 0.00000E+00
NaN 0.00000E+00 0.00000E+00 NaN NaN 0.00000E+00
NaN NaN NaN NaN 0.00000E+00 0.00000E+00
0.00000E+00 NaN NaN
NaN 0.00000E+00 0.00000E+00 NaN 0.00000E+00 NaN
Yours,
Linfeng