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pair_eim.cpp
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pair_eim.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 author: Xiaowang Zhou (SNL)
------------------------------------------------------------------------- */
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "pair_eim.h"
#include "atom.h"
#include "force.h"
#include "comm.h"
#include "neighbor.h"
#include "neigh_list.h"
#include "memory.h"
#include "error.h"
using namespace LAMMPS_NS;
#define MAXLINE 1024
/* ---------------------------------------------------------------------- */
PairEIM::PairEIM(LAMMPS *lmp) : Pair(lmp)
{
single_enable = 0;
restartinfo = 0;
one_coeff = 1;
manybody_flag = 1;
setfl = NULL;
nmax = 0;
rho = NULL;
fp = NULL;
map = NULL;
nelements = 0;
elements = NULL;
negativity = NULL;
q0 = NULL;
cutforcesq = NULL;
Fij = NULL;
Gij = NULL;
phiij = NULL;
Fij_spline = NULL;
Gij_spline = NULL;
phiij_spline = NULL;
// set comm size needed by this Pair
comm_forward = 1;
comm_reverse = 1;
}
/* ----------------------------------------------------------------------
check if allocated, since class can be destructed when incomplete
------------------------------------------------------------------------- */
PairEIM::~PairEIM()
{
memory->destroy(rho);
memory->destroy(fp);
if (allocated) {
memory->destroy(setflag);
memory->destroy(cutsq);
delete [] map;
memory->destroy(type2Fij);
memory->destroy(type2Gij);
memory->destroy(type2phiij);
}
for (int i = 0; i < nelements; i++) delete [] elements[i];
delete [] elements;
deallocate_setfl();
delete [] negativity;
delete [] q0;
memory->destroy(cutforcesq);
memory->destroy(Fij);
memory->destroy(Gij);
memory->destroy(phiij);
memory->destroy(Fij_spline);
memory->destroy(Gij_spline);
memory->destroy(phiij_spline);
}
/* ---------------------------------------------------------------------- */
void PairEIM::compute(int eflag, int vflag)
{
int i,j,ii,jj,m,inum,jnum,itype,jtype;
double xtmp,ytmp,ztmp,delx,dely,delz,evdwl,fpair;
double rsq,r,p,rhoip,rhojp,phip,phi,coul,coulp,recip,psip;
double *coeff;
int *ilist,*jlist,*numneigh,**firstneigh;
evdwl = 0.0;
if (eflag || vflag) ev_setup(eflag,vflag);
else evflag = vflag_fdotr = eflag_global = eflag_atom = 0;
// grow energy array if necessary
if (atom->nmax > nmax) {
memory->destroy(rho);
memory->destroy(fp);
nmax = atom->nmax;
memory->create(rho,nmax,"pair:rho");
memory->create(fp,nmax,"pair:fp");
}
double **x = atom->x;
double **f = atom->f;
int *type = atom->type;
int nlocal = atom->nlocal;
int newton_pair = force->newton_pair;
inum = list->inum;
ilist = list->ilist;
numneigh = list->numneigh;
firstneigh = list->firstneigh;
// zero out density
if (newton_pair) {
m = nlocal + atom->nghost;
for (i = 0; i < m; i++) {
rho[i] = 0.0;
fp[i] = 0.0;
}
} else {
for (i = 0; i < nlocal; i++) {
rho[i] = 0.0;
fp[i] = 0.0;
}
}
// rho = density at each atom
// loop over neighbors of my atoms
for (ii = 0; ii < inum; ii++) {
i = ilist[ii];
xtmp = x[i][0];
ytmp = x[i][1];
ztmp = x[i][2];
itype = type[i];
jlist = firstneigh[i];
jnum = numneigh[i];
for (jj = 0; jj < jnum; jj++) {
j = jlist[jj];
j &= NEIGHMASK;
jtype = type[j];
delx = xtmp - x[j][0];
dely = ytmp - x[j][1];
delz = ztmp - x[j][2];
rsq = delx*delx + dely*dely + delz*delz;
if (rsq < cutforcesq[itype][jtype]) {
p = sqrt(rsq)*rdr + 1.0;
m = static_cast<int> (p);
m = MIN(m,nr-1);
p -= m;
p = MIN(p,1.0);
coeff = Fij_spline[type2Fij[itype][jtype]][m];
rho[i] += ((coeff[3]*p + coeff[4])*p + coeff[5])*p + coeff[6];
if (newton_pair || j < nlocal) {
coeff = Fij_spline[type2Fij[jtype][itype]][m];
rho[j] += ((coeff[3]*p + coeff[4])*p + coeff[5])*p + coeff[6];
}
}
}
}
// communicate and sum densities
rhofp = 1;
if (newton_pair) comm->reverse_comm_pair(this);
comm->forward_comm_pair(this);
for (ii = 0; ii < inum; ii++) {
i = ilist[ii];
xtmp = x[i][0];
ytmp = x[i][1];
ztmp = x[i][2];
itype = type[i];
jlist = firstneigh[i];
jnum = numneigh[i];
for (jj = 0; jj < jnum; jj++) {
j = jlist[jj];
j &= NEIGHMASK;
jtype = type[j];
delx = xtmp - x[j][0];
dely = ytmp - x[j][1];
delz = ztmp - x[j][2];
rsq = delx*delx + dely*dely + delz*delz;
if (rsq < cutforcesq[itype][jtype]) {
p = sqrt(rsq)*rdr + 1.0;
m = static_cast<int> (p);
m = MIN(m,nr-1);
p -= m;
p = MIN(p,1.0);
coeff = Gij_spline[type2Gij[itype][jtype]][m];
fp[i] += rho[j]*(((coeff[3]*p + coeff[4])*p + coeff[5])*p + coeff[6]);
if (newton_pair || j < nlocal) {
fp[j] += rho[i]*(((coeff[3]*p + coeff[4])*p + coeff[5])*p +
coeff[6]);
}
}
}
}
// communicate and sum modified densities
rhofp = 2;
if (newton_pair) comm->reverse_comm_pair(this);
comm->forward_comm_pair(this);
for (ii = 0; ii < inum; ii++) {
i = ilist[ii];
itype = type[i];
if (eflag) {
phi = 0.5*rho[i]*fp[i];
if (eflag_global) eng_vdwl += phi;
if (eflag_atom) eatom[i] += phi;
}
}
// compute forces on each atom
// loop over neighbors of my atoms
for (ii = 0; ii < inum; ii++) {
i = ilist[ii];
xtmp = x[i][0];
ytmp = x[i][1];
ztmp = x[i][2];
itype = type[i];
jlist = firstneigh[i];
jnum = numneigh[i];
for (jj = 0; jj < jnum; jj++) {
j = jlist[jj];
j &= NEIGHMASK;
jtype = type[j];
delx = xtmp - x[j][0];
dely = ytmp - x[j][1];
delz = ztmp - x[j][2];
rsq = delx*delx + dely*dely + delz*delz;
if (rsq < cutforcesq[itype][jtype]) {
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);
// rhoip = derivative of (density at atom j due to atom i)
// rhojp = derivative of (density at atom i due to atom j)
// phi = pair potential energy
// phip = phi'
coeff = Fij_spline[type2Fij[jtype][itype]][m];
rhoip = (coeff[0]*p + coeff[1])*p + coeff[2];
coeff = Fij_spline[type2Fij[itype][jtype]][m];
rhojp = (coeff[0]*p + coeff[1])*p + coeff[2];
coeff = phiij_spline[type2phiij[itype][jtype]][m];
phip = (coeff[0]*p + coeff[1])*p + coeff[2];
phi = ((coeff[3]*p + coeff[4])*p + coeff[5])*p + coeff[6];
coeff = Gij_spline[type2Gij[itype][jtype]][m];
coul = ((coeff[3]*p + coeff[4])*p + coeff[5])*p + coeff[6];
coulp = (coeff[0]*p + coeff[1])*p + coeff[2];
psip = phip + (rho[i]*rho[j]-q0[itype]*q0[jtype])*coulp +
fp[i]*rhojp + fp[j]*rhoip;
recip = 1.0/r;
fpair = -psip*recip;
f[i][0] += delx*fpair;
f[i][1] += dely*fpair;
f[i][2] += delz*fpair;
if (newton_pair || j < nlocal) {
f[j][0] -= delx*fpair;
f[j][1] -= dely*fpair;
f[j][2] -= delz*fpair;
}
if (eflag) evdwl = phi-q0[itype]*q0[jtype]*coul;
if (evflag) ev_tally(i,j,nlocal,newton_pair,
evdwl,0.0,fpair,delx,dely,delz);
}
}
}
if (vflag_fdotr) virial_fdotr_compute();
}
/* ----------------------------------------------------------------------
allocate all arrays
------------------------------------------------------------------------- */
void PairEIM::allocate()
{
allocated = 1;
int n = atom->ntypes;
memory->create(setflag,n+1,n+1,"pair:setflag");
for (int i = 1; i <= n; i++)
for (int j = i; j <= n; j++)
setflag[i][j] = 0;
memory->create(cutsq,n+1,n+1,"pair:cutsq");
map = new int[n+1];
for (int i = 1; i <= n; i++) map[i] = -1;
memory->create(type2Fij,n+1,n+1,"pair:type2Fij");
memory->create(type2Gij,n+1,n+1,"pair:type2Gij");
memory->create(type2phiij,n+1,n+1,"pair:type2phiij");
}
/* ----------------------------------------------------------------------
global settings
------------------------------------------------------------------------- */
void PairEIM::settings(int narg, char **arg)
{
if (narg > 0) error->all(FLERR,"Illegal pair_style command");
}
/* ----------------------------------------------------------------------
set coeffs from set file
------------------------------------------------------------------------- */
void PairEIM::coeff(int narg, char **arg)
{
int i,j,m,n;
if (!allocated) allocate();
if (narg < 5) 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 EIM element names before filename
// nelements = # of EIM elements to read from file
// elements = list of unique element names
if (nelements) {
for (i = 0; i < nelements; i++) delete [] elements[i];
delete [] elements;
}
nelements = narg - 3 - atom->ntypes;
if (nelements < 1) error->all(FLERR,"Incorrect args for pair coefficients");
elements = new char*[nelements];
for (i = 0; i < nelements; i++) {
n = strlen(arg[i+2]) + 1;
elements[i] = new char[n];
strcpy(elements[i],arg[i+2]);
}
// read EIM file
deallocate_setfl();
setfl = new Setfl();
read_file(arg[2+nelements]);
// 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 + nelements; i < narg; i++) {
m = i - (3+nelements) + 1;
for (j = 0; j < nelements; j++)
if (strcmp(arg[i],elements[j]) == 0) break;
if (j < nelements) map[m] = j;
else if (strcmp(arg[i],"NULL") == 0) map[m] = -1;
else error->all(FLERR,"Incorrect args for pair coefficients");
}
// clear setflag since coeff() called once with I,J = * *
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");
}
/* ----------------------------------------------------------------------
init specific to this pair style
------------------------------------------------------------------------- */
void PairEIM::init_style()
{
// convert read-in file(s) to arrays and spline them
file2array();
array2spline();
neighbor->request(this,instance_me);
}
/* ----------------------------------------------------------------------
init for one type pair i,j and corresponding j,i
------------------------------------------------------------------------- */
double PairEIM::init_one(int i, int j)
{
cutmax = sqrt(cutforcesq[i][j]);
return cutmax;
}
/* ----------------------------------------------------------------------
read potential values from a set file
------------------------------------------------------------------------- */
void PairEIM::read_file(char *filename)
{
// open potential file
int me = comm->me;
FILE *fptr;
if (me == 0) {
fptr = force->open_potential(filename);
if (fptr == NULL) {
char str[128];
sprintf(str,"Cannot open EIM potential file %s",filename);
error->one(FLERR,str);
}
}
int npair = nelements*(nelements+1)/2;
setfl->ielement = new int[nelements];
setfl->mass = new double[nelements];
setfl->negativity = new double[nelements];
setfl->ra = new double[nelements];
setfl->ri = new double[nelements];
setfl->Ec = new double[nelements];
setfl->q0 = new double[nelements];
setfl->rcutphiA = new double[npair];
setfl->rcutphiR = new double[npair];
setfl->Eb = new double[npair];
setfl->r0 = new double[npair];
setfl->alpha = new double[npair];
setfl->beta = new double[npair];
setfl->rcutq = new double[npair];
setfl->Asigma = new double[npair];
setfl->rq = new double[npair];
setfl->rcutsigma = new double[npair];
setfl->Ac = new double[npair];
setfl->zeta = new double[npair];
setfl->rs = new double[npair];
setfl->tp = new int[npair];
if (me == 0)
if (!grabglobal(fptr))
error->one(FLERR,"Could not grab global entry from EIM potential file");
MPI_Bcast(&setfl->division,1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rbig,1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rsmall,1,MPI_DOUBLE,0,world);
for (int i = 0; i < nelements; i++) {
if (me == 0)
if (!grabsingle(fptr,i))
error->one(FLERR,"Could not grab element entry from EIM potential file");
MPI_Bcast(&setfl->ielement[i],1,MPI_INT,0,world);
MPI_Bcast(&setfl->mass[i],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->negativity[i],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->ra[i],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->ri[i],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->Ec[i],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->q0[i],1,MPI_DOUBLE,0,world);
}
for (int i = 0; i < nelements; i++) {
for (int j = i; j < nelements; j++) {
int ij;
if (i == j) ij = i;
else if (i < j) ij = nelements*(i+1) - (i+1)*(i+2)/2 + j;
else ij = nelements*(j+1) - (j+1)*(j+2)/2 + i;
if (me == 0)
if (grabpair(fptr,i,j) == 0)
error->one(FLERR,"Could not grab pair entry from EIM potential file");
MPI_Bcast(&setfl->rcutphiA[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rcutphiR[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->Eb[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->r0[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->alpha[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->beta[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rcutq[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->Asigma[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rq[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rcutsigma[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->Ac[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->zeta[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->rs[ij],1,MPI_DOUBLE,0,world);
MPI_Bcast(&setfl->tp[ij],1,MPI_INT,0,world);
}
}
setfl->nr = 5000;
setfl->cut = 0.0;
for (int i = 0; i < npair; i++) {
if (setfl->cut < setfl->rcutphiA[i]) setfl->cut = setfl->rcutphiA[i];
if (setfl->cut < setfl->rcutphiR[i]) setfl->cut = setfl->rcutphiR[i];
if (setfl->cut < setfl->rcutq[i]) setfl->cut = setfl->rcutq[i];
if (setfl->cut < setfl->rcutsigma[i]) setfl->cut = setfl->rcutsigma[i];
}
setfl->dr = setfl->cut/(setfl->nr-1.0);
memory->create(setfl->cuts,nelements,nelements,"pair:cuts");
for (int i = 0; i < nelements; i++) {
for (int j = 0; j < nelements; j++) {
if (i > j) {
setfl->cuts[i][j] = setfl->cuts[j][i];
} else {
int ij;
if (i == j) {
ij = i;
} else {
ij = nelements*(i+1) - (i+1)*(i+2)/2 + j;
}
setfl->cuts[i][j] = setfl->rcutphiA[ij];
if (setfl->cuts[i][j] < setfl->rcutphiR[ij])
setfl->cuts[i][j] = setfl->rcutphiR[ij];
if (setfl->cuts[i][j] < setfl->rcutq[ij])
setfl->cuts[i][j] = setfl->rcutq[ij];
if (setfl->cuts[i][j] < setfl->rcutsigma[ij])
setfl->cuts[i][j] = setfl->rcutsigma[ij];
}
}
}
memory->create(setfl->Fij,nelements,nelements,setfl->nr+1,"pair:Fij");
memory->create(setfl->Gij,nelements,nelements,setfl->nr+1,"pair:Gij");
memory->create(setfl->phiij,nelements,nelements,setfl->nr+1,"pair:phiij");
for (int i = 0; i < nelements; i++)
for (int j = 0; j < nelements; j++) {
for (int k = 0; k < setfl->nr; k++) {
if (i > j) {
setfl->phiij[i][j][k+1] = setfl->phiij[j][i][k+1];
} else {
double r = k*setfl->dr;
setfl->phiij[i][j][k+1] = funcphi(i,j,r);
}
}
}
for (int i = 0; i < nelements; i++)
for (int j = 0; j < nelements; j++) {
for (int k = 0; k < setfl->nr; k++) {
double r = k*setfl->dr;
setfl->Fij[i][j][k+1] = funcsigma(i,j,r);
}
}
for (int i = 0; i < nelements; i++)
for (int j = 0; j < nelements; j++) {
for (int k = 0; k < setfl->nr; k++) {
if (i > j) {
setfl->Gij[i][j][k+1] = setfl->Gij[j][i][k+1];
} else {
double r = k*setfl->dr;
setfl->Gij[i][j][k+1] = funccoul(i,j,r);
}
}
}
// close the potential file
if (me == 0) fclose(fptr);
}
/* ----------------------------------------------------------------------
deallocate data associated with setfl file
------------------------------------------------------------------------- */
void PairEIM::deallocate_setfl()
{
if (!setfl) return;
delete [] setfl->ielement;
delete [] setfl->mass;
delete [] setfl->negativity;
delete [] setfl->ra;
delete [] setfl->ri;
delete [] setfl->Ec;
delete [] setfl->q0;
delete [] setfl->rcutphiA;
delete [] setfl->rcutphiR;
delete [] setfl->Eb;
delete [] setfl->r0;
delete [] setfl->alpha;
delete [] setfl->beta;
delete [] setfl->rcutq;
delete [] setfl->Asigma;
delete [] setfl->rq;
delete [] setfl->rcutsigma;
delete [] setfl->Ac;
delete [] setfl->zeta;
delete [] setfl->rs;
delete [] setfl->tp;
memory->destroy(setfl->cuts);
memory->destroy(setfl->Fij);
memory->destroy(setfl->Gij);
memory->destroy(setfl->phiij);
delete setfl;
}
/* ----------------------------------------------------------------------
convert read-in potentials to standard array format
interpolate all file values to a single grid and cutoff
------------------------------------------------------------------------- */
void PairEIM::file2array()
{
int i,j,m,n;
int irow,icol;
int ntypes = atom->ntypes;
delete [] negativity;
delete [] q0;
delete [] cutforcesq;
negativity = new double[ntypes+1];
q0 = new double[ntypes+1];
memory->create(cutforcesq,ntypes+1,ntypes+1,"pair:cutforcesq");
for (i = 1; i <= ntypes; i++) {
if (map[i] == -1) {
negativity[i]=0.0;
q0[i]=0.0;
} else {
negativity[i]=setfl->negativity[map[i]];
q0[i]=setfl->q0[map[i]];
}
}
for (i = 1; i <= ntypes; i++)
for (j = 1; j <= ntypes; j++) {
if (map[i] == -1 || map[j] == -1) {
cutforcesq[i][j] = setfl->cut;
cutforcesq[i][j] = cutforcesq[i][j]*cutforcesq[i][j];
} else {
cutforcesq[i][j] = setfl->cuts[map[i]][map[j]];
cutforcesq[i][j] = cutforcesq[i][j]*cutforcesq[i][j];
}
}
nr = setfl->nr;
dr = setfl->dr;
// ------------------------------------------------------------------
// setup Fij arrays
// ------------------------------------------------------------------
nFij = nelements*nelements + 1;
memory->destroy(Fij);
memory->create(Fij,nFij,nr+1,"pair:Fij");
// copy each element's Fij to global Fij
n=0;
for (i = 0; i < nelements; i++)
for (j = 0; j < nelements; j++) {
for (m = 1; m <= nr; m++) Fij[n][m] = setfl->Fij[i][j][m];
n++;
}
// add extra Fij of zeroes for non-EIM types to point to (pair hybrid)
for (m = 1; m <= nr; m++) Fij[nFij-1][m] = 0.0;
// type2Fij[i][j] = which Fij array (0 to nFij-1) each type pair maps to
// setfl of Fij arrays
// value = n = sum over rows of matrix until reach irow,icol
// if atom type doesn't point to element (non-EIM atom in pair hybrid)
// then map it to last Fij array of zeroes
for (i = 1; i <= ntypes; i++) {
for (j = 1; j <= ntypes; j++) {
irow = map[i];
icol = map[j];
if (irow == -1 || icol == -1) {
type2Fij[i][j] = nFij-1;
} else {
n = 0;
for (m = 0; m < irow; m++) n += nelements;
n += icol;
type2Fij[i][j] = n;
}
}
}
// ------------------------------------------------------------------
// setup Gij arrays
// ------------------------------------------------------------------
nGij = nelements * (nelements+1) / 2 + 1;
memory->destroy(Gij);
memory->create(Gij,nGij,nr+1,"pair:Gij");
// copy each element's Gij to global Gij, only for I >= J
n=0;
for (i = 0; i < nelements; i++)
for (j = 0; j <= i; j++) {
for (m = 1; m <= nr; m++) Gij[n][m] = setfl->Gij[i][j][m];
n++;
}
// add extra Gij of zeroes for non-EIM types to point to (pair hybrid)
for (m = 1; m <= nr; m++) Gij[nGij-1][m] = 0.0;
// type2Gij[i][j] = which Gij array (0 to nGij-1) each type pair maps to
// setfl of Gij 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 atom type doesn't point to element (non-EIM atom in pair hybrid)
// then map it to last Gij array of zeroes
for (i = 1; i <= ntypes; i++) {
for (j = 1; j <= ntypes; j++) {
irow = map[i];
icol = map[j];
if (irow == -1 || icol == -1) {
type2Gij[i][j] = nGij-1;
} else {
if (irow < icol) {
irow = map[j];
icol = map[i];
}
n = 0;
for (m = 0; m < irow; m++) n += m + 1;
n += icol;
type2Gij[i][j] = n;
}
}
}
// ------------------------------------------------------------------
// setup phiij arrays
// ------------------------------------------------------------------
nphiij = nelements * (nelements+1) / 2 + 1;
memory->destroy(phiij);
memory->create(phiij,nphiij,nr+1,"pair:phiij");
// copy each element pair phiij to global phiij, only for I >= J
n = 0;
for (i = 0; i < nelements; i++)
for (j = 0; j <= i; j++) {
for (m = 1; m <= nr; m++) phiij[n][m] = setfl->phiij[i][j][m];
n++;
}
// add extra phiij of zeroes for non-EIM types to point to (pair hybrid)
for (m = 1; m <= nr; m++) phiij[nphiij-1][m] = 0.0;
// type2phiij[i][j] = which phiij array (0 to nphiij-1)
// each type pair maps to
// setfl of phiij 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 atom type doesn't point to element (non-EIM atom in pair hybrid)
// then map it to last phiij array of zeroes
for (i = 1; i <= ntypes; i++) {
for (j = 1; j <= ntypes; j++) {
irow = map[i];
icol = map[j];
if (irow == -1 || icol == -1) {
type2phiij[i][j] = nphiij-1;
} else {
if (irow < icol) {
irow = map[j];
icol = map[i];
}
n = 0;
for (m = 0; m < irow; m++) n += m + 1;
n += icol;
type2phiij[i][j] = n;
}
}
}
}
/* ---------------------------------------------------------------------- */
void PairEIM::array2spline()
{
rdr = 1.0/dr;
memory->destroy(Fij_spline);
memory->destroy(Gij_spline);
memory->destroy(phiij_spline);
memory->create(Fij_spline,nFij,nr+1,7,"pair:Fij");
memory->create(Gij_spline,nGij,nr+1,7,"pair:Gij");
memory->create(phiij_spline,nphiij,nr+1,7,"pair:phiij");
for (int i = 0; i < nFij; i++)
interpolate(nr,dr,Fij[i],Fij_spline[i],0.0);
for (int i = 0; i < nGij; i++)
interpolate(nr,dr,Gij[i],Gij_spline[i],0.0);
for (int i = 0; i < nphiij; i++)
interpolate(nr,dr,phiij[i],phiij_spline[i],0.0);
}
/* ---------------------------------------------------------------------- */
void PairEIM::interpolate(int n, double delta, double *f,
double **spline, double origin)
{
for (int m = 1; m <= n; m++) spline[m][6] = f[m];
spline[1][5] = spline[2][6] - spline[1][6];
spline[2][5] = 0.5 * (spline[3][6]-spline[1][6]);
spline[n-1][5] = 0.5 * (spline[n][6]-spline[n-2][6]);
spline[n][5] = 0.0;
for (int m = 3; m <= n-2; m++)
spline[m][5] = ((spline[m-2][6]-spline[m+2][6]) +
8.0*(spline[m+1][6]-spline[m-1][6])) / 12.0;
for (int m = 1; m <= n-1; m++) {
spline[m][4] = 3.0*(spline[m+1][6]-spline[m][6]) -
2.0*spline[m][5] - spline[m+1][5];
spline[m][3] = spline[m][5] + spline[m+1][5] -
2.0*(spline[m+1][6]-spline[m][6]);
}
spline[n][4] = 0.0;
spline[n][3] = 0.0;
for (int m = 1; m <= n; m++) {
spline[m][2] = spline[m][5]/delta;
spline[m][1] = 2.0*spline[m][4]/delta;
spline[m][0] = 3.0*spline[m][3]/delta;
}
}
/* ----------------------------------------------------------------------
grab global line from file and store info in setfl
return 0 if error
------------------------------------------------------------------------- */
int PairEIM::grabglobal(FILE *fptr)
{
char line[MAXLINE];
char *pch = NULL, *data = NULL;
while (pch == NULL) {
if (fgets(line,MAXLINE,fptr) == NULL) break;
pch = strstr(line,"global");
if (pch != NULL) {
data = strtok (line," \t\n\r\f");
data = strtok (NULL,"?");
sscanf(data,"%lg %lg %lg",&setfl->division,&setfl->rbig,&setfl->rsmall);
}
}
if (pch == NULL) return 0;
return 1;
}
/* ----------------------------------------------------------------------
grab elemental line from file and store info in setfl
return 0 if error
------------------------------------------------------------------------- */
int PairEIM::grabsingle(FILE *fptr, int i)
{
char line[MAXLINE];
rewind(fptr);
char *pch1 = NULL, *pch2 = NULL, *data = NULL;
while (pch1 == NULL || pch2 == NULL) {
if (fgets(line,MAXLINE,fptr) == NULL) break;
pch1 = strtok (line," \t\n\r\f");
pch1 = strstr(pch1,"element:");
if (pch1 != NULL) {
pch2 = strtok(NULL, " \t\n\r\f");
if (pch2 != NULL) {
data = strtok (NULL, "?");
if (strcmp(pch2,elements[i]) == 0) {
sscanf(data,"%d %lg %lg %lg %lg %lg %lg",&setfl->ielement[i],
&setfl->mass[i],&setfl->negativity[i],&setfl->ra[i],
&setfl->ri[i],&setfl->Ec[i],&setfl->q0[i]);
} else pch2 = NULL;
}
}
}
if (pch1 == NULL || pch2 == NULL) return 0;
return 1;
}
/* ----------------------------------------------------------------------
grab pair line from file and store info in setfl
return 0 if error
------------------------------------------------------------------------- */
int PairEIM::grabpair(FILE *fptr, int i, int j)
{
char line[MAXLINE];
rewind(fptr);
int ij;
if (i == j) ij = i;
else if (i < j) ij = nelements*(i+1) - (i+1)*(i+2)/2 + j;
else ij = nelements*(j+1) - (j+1)*(j+2)/2 + i;
char *pch1 = NULL, *pch2 = NULL, *pch3 = NULL, *data = NULL;
while (pch1 == NULL || pch2 == NULL || pch3 == NULL) {
if (fgets(line,MAXLINE,fptr) == NULL) break;
pch1 = strtok (line," \t\n\r\f");
pch1 = strstr(pch1,"pair:");
if (pch1 != NULL) {
pch2 = strtok (NULL, " \t\n\r\f");
if (pch2 != NULL) pch3 = strtok (NULL, " \t\n\r\f");
if (pch3 != NULL) data = strtok (NULL, "?");
if ((pch2 != NULL) && (pch3 != NULL)) {
if ((strcmp(pch2,elements[i]) == 0 &&
strcmp(pch3,elements[j]) == 0) ||
(strcmp(pch2,elements[j]) == 0 &&
strcmp(pch3,elements[i]) == 0)) {
sscanf(data,"%lg %lg %lg %lg %lg",
&setfl->rcutphiA[ij],&setfl->rcutphiR[ij],
&setfl->Eb[ij],&setfl->r0[ij],&setfl->alpha[ij]);
fgets(line,MAXLINE,fptr);
sscanf(line,"%lg %lg %lg %lg %lg",
&setfl->beta[ij],&setfl->rcutq[ij],&setfl->Asigma[ij],
&setfl->rq[ij],&setfl->rcutsigma[ij]);
fgets(line,MAXLINE,fptr);
sscanf(line,"%lg %lg %lg %d",
&setfl->Ac[ij],&setfl->zeta[ij],&setfl->rs[ij],
&setfl->tp[ij]);
} else {
pch1 = NULL;
pch2 = NULL;
pch3 = NULL;
}
}
}
}
if (pch1 == NULL || pch2 == NULL || pch3 == NULL) return 0;
return 1;
}
/* ----------------------------------------------------------------------
cutoff function
------------------------------------------------------------------------- */
double PairEIM::funccutoff(double rp, double rc, double r)
{
double rbig = setfl->rbig;
double rsmall = setfl->rsmall;
double a = (rsmall-rbig)/(rc-rp)*(r-rp)+rbig;
a = erfc(a);
double b = erfc(rbig);
double c = erfc(rsmall);
return (a-c)/(b-c);
}
/* ----------------------------------------------------------------------
pair interaction function phi
------------------------------------------------------------------------- */
double PairEIM::funcphi(int i, int j, double r)
{
int ij;
double value = 0.0;
if (i == j) ij = i;
else if (i < j) ij = nelements*(i+1) - (i+1)*(i+2)/2 + j;
else ij = nelements*(j+1) - (j+1)*(j+2)/2 + i;
if (r < 0.2) r = 0.2;
if (setfl->tp[ij] == 1) {
double a = setfl->Eb[ij]*setfl->alpha[ij] /
(setfl->beta[ij]-setfl->alpha[ij]);
double b = setfl->Eb[ij]*setfl->beta[ij] /
(setfl->beta[ij]-setfl->alpha[ij]);
if (r < setfl->rcutphiA[ij]) {
value -= a*exp(-setfl->beta[ij]*(r/setfl->r0[ij]-1.0))*
funccutoff(setfl->r0[ij],setfl->rcutphiA[ij],r);
}
if (r < setfl-> rcutphiR[ij]) {
value += b*exp(-setfl->alpha[ij]*(r/setfl->r0[ij]-1.0))*
funccutoff(setfl->r0[ij],setfl->rcutphiR[ij],r);
}
} else if (setfl->tp[ij] == 2) {
double a=setfl->Eb[ij]*setfl->alpha[ij]*pow(setfl->r0[ij],setfl->beta[ij])/
(setfl->beta[ij]-setfl->alpha[ij]);
double b=a*setfl->beta[ij]/setfl->alpha[ij]*
pow(setfl->r0[ij],setfl->alpha[ij]-setfl->beta[ij]);
if (r < setfl->rcutphiA[ij]) {
value -= a/pow(r,setfl->beta[ij])*
funccutoff(setfl->r0[ij],setfl->rcutphiA[ij],r);
}
if (r < setfl-> rcutphiR[ij]) {
value += b/pow(r,setfl->alpha[ij])*
funccutoff(setfl->r0[ij],setfl->rcutphiR[ij],r);
}
}
return value;
}
/* ----------------------------------------------------------------------
ion propensity function sigma
------------------------------------------------------------------------- */
double PairEIM::funcsigma(int i, int j, double r)
{
int ij;
double value = 0.0;
if (i == j) ij = i;
else if (i < j) ij = nelements*(i+1) - (i+1)*(i+2)/2 + j;
else ij = nelements*(j+1) - (j+1)*(j+2)/2 + i;
if (r < 0.2) r = 0.2;
if (r < setfl->rcutq[ij]) {
value = setfl->Asigma[ij]*(setfl->negativity[j]-setfl->negativity[i]) *
funccutoff(setfl->rq[ij],setfl->rcutq[ij],r);
}
return value;
}
/* ----------------------------------------------------------------------
charge-charge interaction function sigma
------------------------------------------------------------------------- */
double PairEIM::funccoul(int i, int j, double r)
{
int ij;
double value = 0.0;
if (i == j) ij = i;
else if (i < j) ij = nelements*(i+1) - (i+1)*(i+2)/2 + j;
else ij = nelements*(j+1) - (j+1)*(j+2)/2 + i;
if (r < 0.2) r = 0.2;
if (r < setfl->rcutsigma[ij]) {
value = setfl->Ac[ij]*exp(-setfl->zeta[ij]*r)*
funccutoff(setfl->rs[ij],setfl->rcutsigma[ij],r);
}
return value;
}
/* ---------------------------------------------------------------------- */
int PairEIM::pack_forward_comm(int n, int *list, double *buf,
int pbc_flag, int *pbc)
{
int i,j,m;
m = 0;
if (rhofp == 1) {
for (i = 0; i < n; i++) {
j = list[i];
buf[m++] = rho[j];
}
}
if (rhofp == 2) {
for (i = 0; i < n; i++) {
j = list[i];
buf[m++] = fp[j];
}
}
return m;
}
/* ---------------------------------------------------------------------- */
void PairEIM::unpack_forward_comm(int n, int first, double *buf)
{
int i,m,last;
m = 0;
last = first + n;
if (rhofp == 1) {
for (i = first; i < last; i++) rho[i] = buf[m++];
}
if (rhofp == 2) {
for (i = first; i < last; i++) fp[i] = buf[m++];
}
}
/* ---------------------------------------------------------------------- */
int PairEIM::pack_reverse_comm(int n, int first, double *buf)
{
int i,m,last;
m = 0;
last = first + n;
if (rhofp == 1) {
for (i = first; i < last; i++) buf[m++] = rho[i];
}
if (rhofp == 2) {
for (i = first; i < last; i++) buf[m++] = fp[i];
}
return m;
}
/* ---------------------------------------------------------------------- */
void PairEIM::unpack_reverse_comm(int n, int *list, double *buf)
{
int i,j,m;
m = 0;
if (rhofp == 1) {
for (i = 0; i < n; i++) {
j = list[i];
rho[j] += buf[m++];
}
}
if (rhofp == 2) {
for (i = 0; i < n; i++) {
j = list[i];
fp[j] += buf[m++];
}
}
}
/* ----------------------------------------------------------------------
memory usage of local atom-based arrays
------------------------------------------------------------------------- */
double PairEIM::memory_usage()
{
double bytes = maxeatom * sizeof(double);
bytes += maxvatom*6 * sizeof(double);
bytes += 2 * nmax * sizeof(double);
return bytes;
}

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