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pair_eam_alloy_gpu.cpp
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rLAMMPS lammps
pair_eam_alloy_gpu.cpp
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/* ----------------------------------------------------------------------
LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
http://lammps.sandia.gov, Sandia National Laboratories
Steve Plimpton, sjplimp@sandia.gov
Copyright (2003) Sandia Corporation. Under the terms of Contract
DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
certain rights in this software. This software is distributed under
the GNU General Public License.
See the README file in the top-level LAMMPS directory.
------------------------------------------------------------------------- */
/* ----------------------------------------------------------------------
Contributing authors: Trung Dac Nguyen (ORNL), W. Michael Brown (ORNL)
------------------------------------------------------------------------- */
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "pair_eam_alloy_gpu.h"
#include "atom.h"
#include "force.h"
#include "comm.h"
#include "neighbor.h"
#include "neigh_list.h"
#include "memory.h"
#include "error.h"
#include "neigh_request.h"
#include "gpu_extra.h"
using
namespace
LAMMPS_NS
;
#define MAXLINE 1024
// External functions from cuda library for atom decomposition
int
eam_alloy_gpu_init
(
const
int
ntypes
,
double
host_cutforcesq
,
int
**
host_type2rhor
,
int
**
host_type2z2r
,
int
*
host_type2frho
,
double
***
host_rhor_spline
,
double
***
host_z2r_spline
,
double
***
host_frho_spline
,
double
rdr
,
double
rdrho
,
double
rhomax
,
int
nrhor
,
int
nrho
,
int
nz2r
,
int
nfrho
,
int
nr
,
const
int
nlocal
,
const
int
nall
,
const
int
max_nbors
,
const
int
maxspecial
,
const
double
cell_size
,
int
&
gpu_mode
,
FILE
*
screen
,
int
&
fp_size
);
void
eam_alloy_gpu_clear
();
int
**
eam_alloy_gpu_compute_n
(
const
int
ago
,
const
int
inum_full
,
const
int
nall
,
double
**
host_x
,
int
*
host_type
,
double
*
sublo
,
double
*
subhi
,
tagint
*
tag
,
int
**
nspecial
,
tagint
**
special
,
const
bool
eflag
,
const
bool
vflag
,
const
bool
eatom
,
const
bool
vatom
,
int
&
host_start
,
int
**
ilist
,
int
**
jnum
,
const
double
cpu_time
,
bool
&
success
,
int
&
inum
,
void
**
fp_ptr
);
void
eam_alloy_gpu_compute
(
const
int
ago
,
const
int
inum_full
,
const
int
nlocal
,
const
int
nall
,
double
**
host_x
,
int
*
host_type
,
int
*
ilist
,
int
*
numj
,
int
**
firstneigh
,
const
bool
eflag
,
const
bool
vflag
,
const
bool
eatom
,
const
bool
vatom
,
int
&
host_start
,
const
double
cpu_time
,
bool
&
success
,
void
**
fp_ptr
);
void
eam_alloy_gpu_compute_force
(
int
*
ilist
,
const
bool
eflag
,
const
bool
vflag
,
const
bool
eatom
,
const
bool
vatom
);
double
eam_alloy_gpu_bytes
();
/* ---------------------------------------------------------------------- */
PairEAMAlloyGPU
::
PairEAMAlloyGPU
(
LAMMPS
*
lmp
)
:
PairEAM
(
lmp
),
gpu_mode
(
GPU_FORCE
)
{
respa_enable
=
0
;
reinitflag
=
0
;
cpu_time
=
0.0
;
GPU_EXTRA
::
gpu_ready
(
lmp
->
modify
,
lmp
->
error
);
}
/* ---------------------------------------------------------------------- */
PairEAMAlloyGPU
::~
PairEAMAlloyGPU
()
{
eam_alloy_gpu_clear
();
}
/* ---------------------------------------------------------------------- */
double
PairEAMAlloyGPU
::
memory_usage
()
{
double
bytes
=
Pair
::
memory_usage
();
return
bytes
+
eam_alloy_gpu_bytes
();
}
/* ---------------------------------------------------------------------- */
void
PairEAMAlloyGPU
::
compute
(
int
eflag
,
int
vflag
)
{
if
(
eflag
||
vflag
)
ev_setup
(
eflag
,
vflag
);
else
evflag
=
vflag_fdotr
=
eflag_global
=
eflag_atom
=
0
;
// compute density on each atom on GPU
int
nlocal
=
atom
->
nlocal
;
int
nall
=
nlocal
+
atom
->
nghost
;
int
inum
,
host_start
,
inum_dev
;
bool
success
=
true
;
int
*
ilist
,
*
numneigh
,
**
firstneigh
;
if
(
gpu_mode
!=
GPU_FORCE
)
{
inum
=
atom
->
nlocal
;
firstneigh
=
eam_alloy_gpu_compute_n
(
neighbor
->
ago
,
inum
,
nall
,
atom
->
x
,
atom
->
type
,
domain
->
sublo
,
domain
->
subhi
,
atom
->
tag
,
atom
->
nspecial
,
atom
->
special
,
eflag
,
vflag
,
eflag_atom
,
vflag_atom
,
host_start
,
&
ilist
,
&
numneigh
,
cpu_time
,
success
,
inum_dev
,
&
fp_pinned
);
}
else
{
// gpu_mode == GPU_FORCE
inum
=
list
->
inum
;
ilist
=
list
->
ilist
;
numneigh
=
list
->
numneigh
;
firstneigh
=
list
->
firstneigh
;
eam_alloy_gpu_compute
(
neighbor
->
ago
,
inum
,
nlocal
,
nall
,
atom
->
x
,
atom
->
type
,
ilist
,
numneigh
,
firstneigh
,
eflag
,
vflag
,
eflag_atom
,
vflag_atom
,
host_start
,
cpu_time
,
success
,
&
fp_pinned
);
}
if
(
!
success
)
error
->
one
(
FLERR
,
"Insufficient memory on accelerator"
);
// communicate derivative of embedding function
comm
->
forward_comm_pair
(
this
);
// compute forces on each atom on GPU
if
(
gpu_mode
!=
GPU_FORCE
)
eam_alloy_gpu_compute_force
(
NULL
,
eflag
,
vflag
,
eflag_atom
,
vflag_atom
);
else
eam_alloy_gpu_compute_force
(
ilist
,
eflag
,
vflag
,
eflag_atom
,
vflag_atom
);
}
/* ----------------------------------------------------------------------
init specific to this pair style
------------------------------------------------------------------------- */
void
PairEAMAlloyGPU
::
init_style
()
{
if
(
force
->
newton_pair
)
error
->
all
(
FLERR
,
"Cannot use newton pair with eam/alloy/gpu pair style"
);
// convert read-in file(s) to arrays and spline them
file2array
();
array2spline
();
// Repeat cutsq calculation because done after call to init_style
double
maxcut
=
-
1.0
;
double
cut
;
for
(
int
i
=
1
;
i
<=
atom
->
ntypes
;
i
++
)
{
for
(
int
j
=
i
;
j
<=
atom
->
ntypes
;
j
++
)
{
if
(
setflag
[
i
][
j
]
!=
0
||
(
setflag
[
i
][
i
]
!=
0
&&
setflag
[
j
][
j
]
!=
0
))
{
cut
=
init_one
(
i
,
j
);
cut
*=
cut
;
if
(
cut
>
maxcut
)
maxcut
=
cut
;
cutsq
[
i
][
j
]
=
cutsq
[
j
][
i
]
=
cut
;
}
else
cutsq
[
i
][
j
]
=
cutsq
[
j
][
i
]
=
0.0
;
}
}
double
cell_size
=
sqrt
(
maxcut
)
+
neighbor
->
skin
;
int
maxspecial
=
0
;
if
(
atom
->
molecular
)
maxspecial
=
atom
->
maxspecial
;
int
fp_size
;
int
success
=
eam_alloy_gpu_init
(
atom
->
ntypes
+
1
,
cutforcesq
,
type2rhor
,
type2z2r
,
type2frho
,
rhor_spline
,
z2r_spline
,
frho_spline
,
rdr
,
rdrho
,
rhomax
,
nrhor
,
nrho
,
nz2r
,
nfrho
,
nr
,
atom
->
nlocal
,
atom
->
nlocal
+
atom
->
nghost
,
300
,
maxspecial
,
cell_size
,
gpu_mode
,
screen
,
fp_size
);
GPU_EXTRA
::
check_flag
(
success
,
error
,
world
);
if
(
gpu_mode
==
GPU_FORCE
)
{
int
irequest
=
neighbor
->
request
(
this
,
instance_me
);
neighbor
->
requests
[
irequest
]
->
half
=
0
;
neighbor
->
requests
[
irequest
]
->
full
=
1
;
}
if
(
fp_size
==
sizeof
(
double
))
fp_single
=
false
;
else
fp_single
=
true
;
}
/* ---------------------------------------------------------------------- */
double
PairEAMAlloyGPU
::
single
(
int
i
,
int
j
,
int
itype
,
int
jtype
,
double
rsq
,
double
factor_coul
,
double
factor_lj
,
double
&
fforce
)
{
int
m
;
double
r
,
p
,
rhoip
,
rhojp
,
z2
,
z2p
,
recip
,
phi
,
phip
,
psip
;
double
*
coeff
;
r
=
sqrt
(
rsq
);
p
=
r
*
rdr
+
1.0
;
m
=
static_cast
<
int
>
(
p
);
m
=
MIN
(
m
,
nr
-
1
);
p
-=
m
;
p
=
MIN
(
p
,
1.0
);
coeff
=
rhor_spline
[
type2rhor
[
itype
][
jtype
]][
m
];
rhoip
=
(
coeff
[
0
]
*
p
+
coeff
[
1
])
*
p
+
coeff
[
2
];
coeff
=
rhor_spline
[
type2rhor
[
jtype
][
itype
]][
m
];
rhojp
=
(
coeff
[
0
]
*
p
+
coeff
[
1
])
*
p
+
coeff
[
2
];
coeff
=
z2r_spline
[
type2z2r
[
itype
][
jtype
]][
m
];
z2p
=
(
coeff
[
0
]
*
p
+
coeff
[
1
])
*
p
+
coeff
[
2
];
z2
=
((
coeff
[
3
]
*
p
+
coeff
[
4
])
*
p
+
coeff
[
5
])
*
p
+
coeff
[
6
];
double
fp_i
,
fp_j
;
if
(
fp_single
==
false
)
{
fp_i
=
((
double
*
)
fp_pinned
)[
i
];
fp_j
=
((
double
*
)
fp_pinned
)[
j
];
}
else
{
fp_i
=
((
float
*
)
fp_pinned
)[
i
];
fp_j
=
((
float
*
)
fp_pinned
)[
j
];
}
recip
=
1.0
/
r
;
phi
=
z2
*
recip
;
phip
=
z2p
*
recip
-
phi
*
recip
;
psip
=
fp_i
*
rhojp
+
fp_j
*
rhoip
+
phip
;
fforce
=
-
psip
*
recip
;
return
phi
;
}
/* ---------------------------------------------------------------------- */
int
PairEAMAlloyGPU
::
pack_forward_comm
(
int
n
,
int
*
list
,
double
*
buf
,
int
pbc_flag
,
int
*
pbc
)
{
int
i
,
j
,
m
;
m
=
0
;
if
(
fp_single
)
{
float
*
fp_ptr
=
(
float
*
)
fp_pinned
;
for
(
i
=
0
;
i
<
n
;
i
++
)
{
j
=
list
[
i
];
buf
[
m
++
]
=
static_cast
<
double
>
(
fp_ptr
[
j
]);
}
}
else
{
double
*
fp_ptr
=
(
double
*
)
fp_pinned
;
for
(
i
=
0
;
i
<
n
;
i
++
)
{
j
=
list
[
i
];
buf
[
m
++
]
=
fp_ptr
[
j
];
}
}
return
m
;
}
/* ---------------------------------------------------------------------- */
void
PairEAMAlloyGPU
::
unpack_forward_comm
(
int
n
,
int
first
,
double
*
buf
)
{
int
i
,
m
,
last
;
m
=
0
;
last
=
first
+
n
;
if
(
fp_single
)
{
float
*
fp_ptr
=
(
float
*
)
fp_pinned
;
for
(
i
=
first
;
i
<
last
;
i
++
)
fp_ptr
[
i
]
=
buf
[
m
++
];
}
else
{
double
*
fp_ptr
=
(
double
*
)
fp_pinned
;
for
(
i
=
first
;
i
<
last
;
i
++
)
fp_ptr
[
i
]
=
buf
[
m
++
];
}
}
/* ----------------------------------------------------------------------
set coeffs for one or more type pairs
read DYNAMO setfl file
------------------------------------------------------------------------- */
void
PairEAMAlloyGPU
::
coeff
(
int
narg
,
char
**
arg
)
{
int
i
,
j
;
if
(
!
allocated
)
allocate
();
if
(
narg
!=
3
+
atom
->
ntypes
)
error
->
all
(
FLERR
,
"Incorrect args for pair coefficients"
);
// insure I,J args are * *
if
(
strcmp
(
arg
[
0
],
"*"
)
!=
0
||
strcmp
(
arg
[
1
],
"*"
)
!=
0
)
error
->
all
(
FLERR
,
"Incorrect args for pair coefficients"
);
// read EAM setfl file
if
(
setfl
)
{
for
(
i
=
0
;
i
<
setfl
->
nelements
;
i
++
)
delete
[]
setfl
->
elements
[
i
];
delete
[]
setfl
->
elements
;
delete
[]
setfl
->
mass
;
memory
->
destroy
(
setfl
->
frho
);
memory
->
destroy
(
setfl
->
rhor
);
memory
->
destroy
(
setfl
->
z2r
);
delete
setfl
;
}
setfl
=
new
Setfl
();
read_file
(
arg
[
2
]);
// read args that map atom types to elements in potential file
// map[i] = which element the Ith atom type is, -1 if NULL
for
(
i
=
3
;
i
<
narg
;
i
++
)
{
if
(
strcmp
(
arg
[
i
],
"NULL"
)
==
0
)
{
map
[
i
-
2
]
=
-
1
;
continue
;
}
for
(
j
=
0
;
j
<
setfl
->
nelements
;
j
++
)
if
(
strcmp
(
arg
[
i
],
setfl
->
elements
[
j
])
==
0
)
break
;
if
(
j
<
setfl
->
nelements
)
map
[
i
-
2
]
=
j
;
else
error
->
all
(
FLERR
,
"No matching element in EAM potential file"
);
}
// clear setflag since coeff() called once with I,J = * *
int
n
=
atom
->
ntypes
;
for
(
i
=
1
;
i
<=
n
;
i
++
)
for
(
j
=
i
;
j
<=
n
;
j
++
)
setflag
[
i
][
j
]
=
0
;
// set setflag i,j for type pairs where both are mapped to elements
// set mass of atom type if i = j
int
count
=
0
;
for
(
i
=
1
;
i
<=
n
;
i
++
)
{
for
(
j
=
i
;
j
<=
n
;
j
++
)
{
if
(
map
[
i
]
>=
0
&&
map
[
j
]
>=
0
)
{
setflag
[
i
][
j
]
=
1
;
if
(
i
==
j
)
atom
->
set_mass
(
FLERR
,
i
,
setfl
->
mass
[
map
[
i
]]);
count
++
;
}
}
}
if
(
count
==
0
)
error
->
all
(
FLERR
,
"Incorrect args for pair coefficients"
);
}
/* ----------------------------------------------------------------------
read a multi-element DYNAMO setfl file
------------------------------------------------------------------------- */
void
PairEAMAlloyGPU
::
read_file
(
char
*
filename
)
{
Setfl
*
file
=
setfl
;
// open potential file
int
me
=
comm
->
me
;
FILE
*
fptr
;
char
line
[
MAXLINE
];
if
(
me
==
0
)
{
fptr
=
fopen
(
filename
,
"r"
);
if
(
fptr
==
NULL
)
{
char
str
[
128
];
sprintf
(
str
,
"Cannot open EAM potential file %s"
,
filename
);
error
->
one
(
FLERR
,
str
);
}
}
// read and broadcast header
// extract element names from nelements line
int
n
;
if
(
me
==
0
)
{
fgets
(
line
,
MAXLINE
,
fptr
);
fgets
(
line
,
MAXLINE
,
fptr
);
fgets
(
line
,
MAXLINE
,
fptr
);
fgets
(
line
,
MAXLINE
,
fptr
);
n
=
strlen
(
line
)
+
1
;
}
MPI_Bcast
(
&
n
,
1
,
MPI_INT
,
0
,
world
);
MPI_Bcast
(
line
,
n
,
MPI_CHAR
,
0
,
world
);
sscanf
(
line
,
"%d"
,
&
file
->
nelements
);
int
nwords
=
atom
->
count_words
(
line
);
if
(
nwords
!=
file
->
nelements
+
1
)
error
->
all
(
FLERR
,
"Incorrect element names in EAM potential file"
);
char
**
words
=
new
char
*
[
file
->
nelements
+
1
];
nwords
=
0
;
strtok
(
line
,
"
\t\n\r\f
"
);
while
(
(
words
[
nwords
++
]
=
strtok
(
NULL
,
"
\t\n\r\f
"
))
)
continue
;
file
->
elements
=
new
char
*
[
file
->
nelements
];
for
(
int
i
=
0
;
i
<
file
->
nelements
;
i
++
)
{
n
=
strlen
(
words
[
i
])
+
1
;
file
->
elements
[
i
]
=
new
char
[
n
];
strcpy
(
file
->
elements
[
i
],
words
[
i
]);
}
delete
[]
words
;
if
(
me
==
0
)
{
fgets
(
line
,
MAXLINE
,
fptr
);
sscanf
(
line
,
"%d %lg %d %lg %lg"
,
&
file
->
nrho
,
&
file
->
drho
,
&
file
->
nr
,
&
file
->
dr
,
&
file
->
cut
);
}
MPI_Bcast
(
&
file
->
nrho
,
1
,
MPI_INT
,
0
,
world
);
MPI_Bcast
(
&
file
->
drho
,
1
,
MPI_DOUBLE
,
0
,
world
);
MPI_Bcast
(
&
file
->
nr
,
1
,
MPI_INT
,
0
,
world
);
MPI_Bcast
(
&
file
->
dr
,
1
,
MPI_DOUBLE
,
0
,
world
);
MPI_Bcast
(
&
file
->
cut
,
1
,
MPI_DOUBLE
,
0
,
world
);
file
->
mass
=
new
double
[
file
->
nelements
];
memory
->
create
(
file
->
frho
,
file
->
nelements
,
file
->
nrho
+
1
,
"pair:frho"
);
memory
->
create
(
file
->
rhor
,
file
->
nelements
,
file
->
nr
+
1
,
"pair:rhor"
);
memory
->
create
(
file
->
z2r
,
file
->
nelements
,
file
->
nelements
,
file
->
nr
+
1
,
"pair:z2r"
);
int
i
,
j
,
tmp
;
for
(
i
=
0
;
i
<
file
->
nelements
;
i
++
)
{
if
(
me
==
0
)
{
fgets
(
line
,
MAXLINE
,
fptr
);
sscanf
(
line
,
"%d %lg"
,
&
tmp
,
&
file
->
mass
[
i
]);
}
MPI_Bcast
(
&
file
->
mass
[
i
],
1
,
MPI_DOUBLE
,
0
,
world
);
if
(
me
==
0
)
grab
(
fptr
,
file
->
nrho
,
&
file
->
frho
[
i
][
1
]);
MPI_Bcast
(
&
file
->
frho
[
i
][
1
],
file
->
nrho
,
MPI_DOUBLE
,
0
,
world
);
if
(
me
==
0
)
grab
(
fptr
,
file
->
nr
,
&
file
->
rhor
[
i
][
1
]);
MPI_Bcast
(
&
file
->
rhor
[
i
][
1
],
file
->
nr
,
MPI_DOUBLE
,
0
,
world
);
}
for
(
i
=
0
;
i
<
file
->
nelements
;
i
++
)
for
(
j
=
0
;
j
<=
i
;
j
++
)
{
if
(
me
==
0
)
grab
(
fptr
,
file
->
nr
,
&
file
->
z2r
[
i
][
j
][
1
]);
MPI_Bcast
(
&
file
->
z2r
[
i
][
j
][
1
],
file
->
nr
,
MPI_DOUBLE
,
0
,
world
);
}
// close the potential file
if
(
me
==
0
)
fclose
(
fptr
);
}
/* ----------------------------------------------------------------------
copy read-in setfl potential to standard array format
------------------------------------------------------------------------- */
void
PairEAMAlloyGPU
::
file2array
()
{
int
i
,
j
,
m
,
n
;
int
ntypes
=
atom
->
ntypes
;
// set function params directly from setfl file
nrho
=
setfl
->
nrho
;
nr
=
setfl
->
nr
;
drho
=
setfl
->
drho
;
dr
=
setfl
->
dr
;
rhomax
=
(
nrho
-
1
)
*
drho
;
// ------------------------------------------------------------------
// setup frho arrays
// ------------------------------------------------------------------
// allocate frho arrays
// nfrho = # of setfl elements + 1 for zero array
nfrho
=
setfl
->
nelements
+
1
;
memory
->
destroy
(
frho
);
memory
->
create
(
frho
,
nfrho
,
nrho
+
1
,
"pair:frho"
);
// copy each element's frho to global frho
for
(
i
=
0
;
i
<
setfl
->
nelements
;
i
++
)
for
(
m
=
1
;
m
<=
nrho
;
m
++
)
frho
[
i
][
m
]
=
setfl
->
frho
[
i
][
m
];
// add extra frho of zeroes for non-EAM types to point to (pair hybrid)
// this is necessary b/c fp is still computed for non-EAM atoms
for
(
m
=
1
;
m
<=
nrho
;
m
++
)
frho
[
nfrho
-
1
][
m
]
=
0.0
;
// type2frho[i] = which frho array (0 to nfrho-1) each atom type maps to
// if atom type doesn't point to element (non-EAM atom in pair hybrid)
// then map it to last frho array of zeroes
for
(
i
=
1
;
i
<=
ntypes
;
i
++
)
if
(
map
[
i
]
>=
0
)
type2frho
[
i
]
=
map
[
i
];
else
type2frho
[
i
]
=
nfrho
-
1
;
// ------------------------------------------------------------------
// setup rhor arrays
// ------------------------------------------------------------------
// allocate rhor arrays
// nrhor = # of setfl elements
nrhor
=
setfl
->
nelements
;
memory
->
destroy
(
rhor
);
memory
->
create
(
rhor
,
nrhor
,
nr
+
1
,
"pair:rhor"
);
// copy each element's rhor to global rhor
for
(
i
=
0
;
i
<
setfl
->
nelements
;
i
++
)
for
(
m
=
1
;
m
<=
nr
;
m
++
)
rhor
[
i
][
m
]
=
setfl
->
rhor
[
i
][
m
];
// type2rhor[i][j] = which rhor array (0 to nrhor-1) each type pair maps to
// for setfl files, I,J mapping only depends on I
// OK if map = -1 (non-EAM atom in pair hybrid) b/c type2rhor not used
for
(
i
=
1
;
i
<=
ntypes
;
i
++
)
for
(
j
=
1
;
j
<=
ntypes
;
j
++
)
type2rhor
[
i
][
j
]
=
map
[
i
];
// ------------------------------------------------------------------
// setup z2r arrays
// ------------------------------------------------------------------
// allocate z2r arrays
// nz2r = N*(N+1)/2 where N = # of setfl elements
nz2r
=
setfl
->
nelements
*
(
setfl
->
nelements
+
1
)
/
2
;
memory
->
destroy
(
z2r
);
memory
->
create
(
z2r
,
nz2r
,
nr
+
1
,
"pair:z2r"
);
// copy each element pair z2r to global z2r, only for I >= J
n
=
0
;
for
(
i
=
0
;
i
<
setfl
->
nelements
;
i
++
)
for
(
j
=
0
;
j
<=
i
;
j
++
)
{
for
(
m
=
1
;
m
<=
nr
;
m
++
)
z2r
[
n
][
m
]
=
setfl
->
z2r
[
i
][
j
][
m
];
n
++
;
}
// type2z2r[i][j] = which z2r array (0 to nz2r-1) each type pair maps to
// set of z2r arrays only fill lower triangular Nelement matrix
// value = n = sum over rows of lower-triangular matrix until reach irow,icol
// swap indices when irow < icol to stay lower triangular
// if map = -1 (non-EAM atom in pair hybrid):
// type2z2r is not used by non-opt
// but set type2z2r to 0 since accessed by opt
int
irow
,
icol
;
for
(
i
=
1
;
i
<=
ntypes
;
i
++
)
{
for
(
j
=
1
;
j
<=
ntypes
;
j
++
)
{
irow
=
map
[
i
];
icol
=
map
[
j
];
if
(
irow
==
-
1
||
icol
==
-
1
)
{
type2z2r
[
i
][
j
]
=
0
;
continue
;
}
if
(
irow
<
icol
)
{
irow
=
map
[
j
];
icol
=
map
[
i
];
}
n
=
0
;
for
(
m
=
0
;
m
<
irow
;
m
++
)
n
+=
m
+
1
;
n
+=
icol
;
type2z2r
[
i
][
j
]
=
n
;
}
}
}
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