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fix_qeq_reax.cpp
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Fri, Jun 7, 00:07

fix_qeq_reax.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: Hasan Metin Aktulga, Purdue University
(now at Lawrence Berkeley National Laboratory, hmaktulga@lbl.gov)
------------------------------------------------------------------------- */
#include "math.h"
#include "stdio.h"
#include "stdlib.h"
#include "string.h"
#include "fix_qeq_reax.h"
#include "pair_reax_c.h"
#include "atom.h"
#include "comm.h"
#include "domain.h"
#include "neighbor.h"
#include "neigh_list.h"
#include "neigh_request.h"
#include "update.h"
#include "force.h"
#include "pair.h"
#include "respa.h"
#include "memory.h"
#include "citeme.h"
#include "error.h"
#include "reaxc_defs.h"
using namespace LAMMPS_NS;
using namespace FixConst;
#define EV_TO_KCAL_PER_MOL 14.4
#define DANGER_ZONE 0.95
#define LOOSE_ZONE 0.7
#define SQR(x) ((x)*(x))
#define CUBE(x) ((x)*(x)*(x))
#define MIN_NBRS 100
static const char cite_fix_qeq_reax[] =
"fix qeq/reax command:\n\n"
"@Article{Aktulga12,\n"
" author = {H. M. Aktulga, J. C. Fogarty, S. A. Pandit, A. Y. Grama},\n"
" title = {Parallel reactive molecular dynamics: Numerical methods and algorithmic techniques},\n"
" journal = {Parallel Computing},\n"
" year = 2012,\n"
" volume = 38,\n"
" pages = {245--259}\n"
"}\n\n";
/* ---------------------------------------------------------------------- */
FixQEqReax::FixQEqReax(LAMMPS *lmp, int narg, char **arg) :
Fix(lmp, narg, arg)
{
if (lmp->citeme) lmp->citeme->add(cite_fix_qeq_reax);
if (narg != 8) error->all(FLERR,"Illegal fix qeq/reax command");
nevery = force->inumeric(FLERR,arg[3]);
swa = force->numeric(FLERR,arg[4]);
swb = force->numeric(FLERR,arg[5]);
tolerance = force->numeric(FLERR,arg[6]);
pertype_parameters(arg[7]);
shld = NULL;
n = n_cap = 0;
N = nmax = 0;
m_fill = m_cap = 0;
pack_flag = 0;
s = NULL;
t = NULL;
nprev = 5;
Hdia_inv = NULL;
b_s = NULL;
b_t = NULL;
b_prc = NULL;
b_prm = NULL;
// CG
p = NULL;
q = NULL;
r = NULL;
d = NULL;
// H matrix
H.firstnbr = NULL;
H.numnbrs = NULL;
H.jlist = NULL;
H.val = NULL;
// GMRES
//g = NULL;
//y = NULL;
//hstr = NULL;
//v = NULL;
//h = NULL;
//hc = NULL;
//hs = NULL;
// perform initial allocation of atom-based arrays
// register with Atom class
s_hist = t_hist = NULL;
grow_arrays(atom->nmax);
atom->add_callback(0);
for( int i = 0; i < atom->nmax; i++ )
for (int j = 0; j < nprev; ++j )
s_hist[i][j] = t_hist[i][j] = 0;
reaxc = NULL;
reaxc = (PairReaxC *) force->pair_match("reax/c",1);
}
/* ---------------------------------------------------------------------- */
FixQEqReax::~FixQEqReax()
{
// unregister callbacks to this fix from Atom class
atom->delete_callback(id,0);
memory->destroy(s_hist);
memory->destroy(t_hist);
deallocate_storage();
deallocate_matrix();
memory->destroy(shld);
if (!reaxflag) {
memory->destroy(chi);
memory->destroy(eta);
memory->destroy(gamma);
}
}
/* ---------------------------------------------------------------------- */
int FixQEqReax::setmask()
{
int mask = 0;
mask |= PRE_FORCE;
mask |= MIN_PRE_FORCE;
return mask;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::pertype_parameters(char *arg)
{
if (strcmp(arg,"reax/c") == 0) {
reaxflag = 1;
Pair *pair = force->pair_match("reax/c",1);
if (pair == NULL) error->all(FLERR,"No pair reax/c for fix qeq/reax");
int tmp;
chi = (double *) pair->extract("chi",tmp);
eta = (double *) pair->extract("eta",tmp);
gamma = (double *) pair->extract("gamma",tmp);
if (chi == NULL || eta == NULL || gamma == NULL)
error->all(FLERR,
"Fix qeq/reax could not extract params from pair reax/c");
return;
}
int i,itype,ntypes;
double v1,v2,v3;
FILE *pf;
reaxflag = 0;
ntypes = atom->ntypes;
memory->create(chi,ntypes+1,"qeq/reax:chi");
memory->create(eta,ntypes+1,"qeq/reax:eta");
memory->create(gamma,ntypes+1,"qeq/reax:gamma");
if (comm->me == 0) {
if ((pf = fopen(arg,"r")) == NULL)
error->one(FLERR,"Fix qeq/reax parameter file could not be found");
for (i = 1; i <= ntypes && !feof(pf); i++) {
fscanf(pf,"%d %lg %lg %lg",&itype,&v1,&v2,&v3);
if (itype < 1 || itype > ntypes)
error->one(FLERR,"Fix qeq/reax invalid atom type in param file");
chi[itype] = v1;
eta[itype] = v2;
gamma[itype] = v3;
}
if (i <= ntypes) error->one(FLERR,"Invalid param file for fix qeq/reax");
fclose(pf);
}
MPI_Bcast(&chi[1],ntypes,MPI_DOUBLE,0,world);
MPI_Bcast(&eta[1],ntypes,MPI_DOUBLE,0,world);
MPI_Bcast(&gamma[1],ntypes,MPI_DOUBLE,0,world);
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::allocate_storage()
{
nmax = atom->nmax;
memory->create(s,nmax,"qeq:s");
memory->create(t,nmax,"qeq:t");
memory->create(Hdia_inv,nmax,"qeq:Hdia_inv");
memory->create(b_s,nmax,"qeq:b_s");
memory->create(b_t,nmax,"qeq:b_t");
memory->create(b_prc,nmax,"qeq:b_prc");
memory->create(b_prm,nmax,"qeq:b_prm");
memory->create(p,nmax,"qeq:p");
memory->create(q,nmax,"qeq:q");
memory->create(r,nmax,"qeq:r");
memory->create(d,nmax,"qeq:d");
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::deallocate_storage()
{
memory->destroy(s);
memory->destroy(t);
memory->destroy( Hdia_inv );
memory->destroy( b_s );
memory->destroy( b_t );
memory->destroy( b_prc );
memory->destroy( b_prm );
memory->destroy( p );
memory->destroy( q );
memory->destroy( r );
memory->destroy( d );
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::reallocate_storage()
{
deallocate_storage();
allocate_storage();
init_storage();
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::allocate_matrix()
{
int i,ii;
int mincap;
double safezone;
if( reaxflag ) {
mincap = reaxc->system->mincap;
safezone = reaxc->system->safezone;
} else {
mincap = MIN_CAP;
safezone = SAFE_ZONE;
}
n = atom->nlocal;
n_cap = MAX( (int)(n * safezone), mincap );
// determine the total space for the H matrix
int m = 0;
for( ii = 0; ii < list->inum; ii++ ) {
i = list->ilist[ii];
m += list->numneigh[i];
}
m_cap = MAX( (int)(m * safezone), mincap * MIN_NBRS );
H.n = n_cap;
H.m = m_cap;
memory->create(H.firstnbr,n_cap,"qeq:H.firstnbr");
memory->create(H.numnbrs,n_cap,"qeq:H.numnbrs");
memory->create(H.jlist,m_cap,"qeq:H.jlist");
memory->create(H.val,m_cap,"qeq:H.val");
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::deallocate_matrix()
{
memory->destroy( H.firstnbr );
memory->destroy( H.numnbrs );
memory->destroy( H.jlist );
memory->destroy( H.val );
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::reallocate_matrix()
{
deallocate_matrix();
allocate_matrix();
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::init()
{
if (!atom->q_flag) error->all(FLERR,"Fix qeq/reax requires atom attribute q");
// need a half neighbor list w/ Newton off and ghost neighbors
// built whenever re-neighboring occurs
int irequest = neighbor->request(this);
neighbor->requests[irequest]->pair = 0;
neighbor->requests[irequest]->fix = 1;
neighbor->requests[irequest]->newton = 2;
neighbor->requests[irequest]->ghost = 1;
init_shielding();
init_taper();
if (strstr(update->integrate_style,"respa"))
nlevels_respa = ((Respa *) update->integrate)->nlevels;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::init_list(int id, NeighList *ptr)
{
list = ptr;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::init_shielding()
{
int i,j;
int ntypes;
ntypes = atom->ntypes;
memory->create(shld,ntypes+1,ntypes+1,"qeq:shileding");
for( i = 1; i <= ntypes; ++i )
for( j = 1; j <= ntypes; ++j )
shld[i][j] = pow( gamma[i] * gamma[j], -1.5 );
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::init_taper()
{
double d7, swa2, swa3, swb2, swb3;
if (fabs(swa) > 0.01 && comm->me == 0)
error->warning(FLERR,"Fix qeq/reax has non-zero lower Taper radius cutoff");
if (swb < 0)
error->all(FLERR, "Fix qeq/reax has negative upper Taper radius cutoff");
else if (swb < 5 && comm->me == 0)
error->warning(FLERR,"Fix qeq/reax has very low Taper radius cutoff");
d7 = pow( swb - swa, 7 );
swa2 = SQR( swa );
swa3 = CUBE( swa );
swb2 = SQR( swb );
swb3 = CUBE( swb );
Tap[7] = 20.0 / d7;
Tap[6] = -70.0 * (swa + swb) / d7;
Tap[5] = 84.0 * (swa2 + 3.0*swa*swb + swb2) / d7;
Tap[4] = -35.0 * (swa3 + 9.0*swa2*swb + 9.0*swa*swb2 + swb3 ) / d7;
Tap[3] = 140.0 * (swa3*swb + 3.0*swa2*swb2 + swa*swb3 ) / d7;
Tap[2] =-210.0 * (swa3*swb2 + swa2*swb3) / d7;
Tap[1] = 140.0 * swa3 * swb3 / d7;
Tap[0] = (-35.0*swa3*swb2*swb2 + 21.0*swa2*swb3*swb2 +
7.0*swa*swb3*swb3 + swb3*swb3*swb ) / d7;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::setup_pre_force(int vflag)
{
neighbor->build_one(list->index);
deallocate_storage();
allocate_storage();
init_storage();
deallocate_matrix();
allocate_matrix();
pre_force(vflag);
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::setup_pre_force_respa(int vflag, int ilevel)
{
if (ilevel < nlevels_respa-1) return;
setup_pre_force(vflag);
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::min_setup_pre_force(int vflag)
{
setup_pre_force(vflag);
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::init_storage()
{
N = atom->nlocal + atom->nghost;
for( int i = 0; i < N; i++ ) {
Hdia_inv[i] = 1. / eta[atom->type[i]];
b_s[i] = -chi[atom->type[i]];
b_t[i] = -1.0;
b_prc[i] = 0;
b_prm[i] = 0;
s[i] = t[i] = 0;
}
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::pre_force(int vflag)
{
double t_start, t_end;
if (update->ntimestep % nevery) return;
if( comm->me == 0 ) t_start = MPI_Wtime();
n = atom->nlocal;
N = atom->nlocal + atom->nghost;
// grow arrays if necessary
// need to be atom->nmax in length
if( atom->nmax > nmax ) reallocate_storage();
if( n > n_cap*DANGER_ZONE || m_fill > m_cap*DANGER_ZONE )
reallocate_matrix();
init_matvec();
matvecs = CG(b_s, s); // CG on s - parallel
matvecs += CG(b_t, t); // CG on t - parallel
calculate_Q();
if( comm->me == 0 ) {
t_end = MPI_Wtime();
qeq_time = t_end - t_start;
}
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::pre_force_respa(int vflag, int ilevel, int iloop)
{
if (ilevel == nlevels_respa-1) pre_force(vflag);
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::min_pre_force(int vflag)
{
pre_force(vflag);
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::init_matvec()
{
/* fill-in H matrix */
compute_H();
for( int i = 0; i < n; ++i ) {
/* init pre-conditioner for H and init solution vectors */
Hdia_inv[i] = 1. / eta[ atom->type[i] ];
b_s[i] = -chi[ atom->type[i] ];
b_t[i] = -1.0;
/* linear extrapolation for s & t from previous solutions */
//s[i] = 2 * s_hist[i][0] - s_hist[i][1];
//t[i] = 2 * t_hist[i][0] - t_hist[i][1];
/* quadratic extrapolation for s & t from previous solutions */
//s[i] = s_hist[i][2] + 3 * ( s_hist[i][0] - s_hist[i][1] );
t[i] = t_hist[i][2] + 3 * ( t_hist[i][0] - t_hist[i][1] );
/* cubic extrapolation for s & t from previous solutions */
s[i] = 4*(s_hist[i][0]+s_hist[i][2])-(6*s_hist[i][1]+s_hist[i][3]);
//t[i] = 4*(t_hist[i][0]+t_hist[i][2])-(6*t_hist[i][1]+t_hist[i][3]);
}
pack_flag = 2;
comm->forward_comm_fix(this); //Dist_vector( s );
pack_flag = 3;
comm->forward_comm_fix(this); //Dist_vector( t );
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::compute_H()
{
int inum, jnum, *ilist, *jlist, *numneigh, **firstneigh;
int i, j, ii, jj, temp, newnbr, flag;
int *type, *tag;
double **x, SMALL = 0.0001;
double dx, dy, dz, r_sqr;
type = atom->type;
tag = atom->tag;
x = atom->x;
inum = list->inum;
ilist = list->ilist;
numneigh = list->numneigh;
firstneigh = list->firstneigh;
// fill in the H matrix
m_fill = 0;
r_sqr = 0;
for( ii = 0; ii < inum; ii++ ) {
i = ilist[ii];
jlist = firstneigh[i];
jnum = numneigh[i];
H.firstnbr[i] = m_fill;
for( jj = 0; jj < jnum; jj++ ) {
j = jlist[jj];
dx = x[j][0] - x[i][0];
dy = x[j][1] - x[i][1];
dz = x[j][2] - x[i][2];
r_sqr = SQR(dx) + SQR(dy) + SQR(dz);
flag = 0;
if (r_sqr <= SQR(swb)) {
if (j < n) flag = 1;
else if (tag[i] < tag[j]) flag = 1;
else if (tag[i] == tag[j]) {
if (dz > SMALL) flag = 1;
else if (fabs(dz) < SMALL) {
if (dy > SMALL) flag = 1;
else if (fabs(dy) < SMALL && dx > SMALL)
flag = 1;
}
}
}
if( flag ) {
H.jlist[m_fill] = j;
H.val[m_fill] = calculate_H( sqrt(r_sqr), shld[type[i]][type[j]] );
m_fill++;
}
}
H.numnbrs[i] = m_fill - H.firstnbr[i];
}
if (m_fill >= H.m) {
char str[128];
sprintf(str,"H matrix size has been exceeded: m_fill=%d H.m=%d\n",
m_fill, H.m );
error->warning(FLERR,str);
error->all(FLERR,"Fix qeq/reax has insufficient QEq matrix size");
}
}
/* ---------------------------------------------------------------------- */
double FixQEqReax::calculate_H( double r, double gamma )
{
double Taper, denom;
Taper = Tap[7] * r + Tap[6];
Taper = Taper * r + Tap[5];
Taper = Taper * r + Tap[4];
Taper = Taper * r + Tap[3];
Taper = Taper * r + Tap[2];
Taper = Taper * r + Tap[1];
Taper = Taper * r + Tap[0];
denom = r * r * r + gamma;
denom = pow(denom,0.3333333333333);
return Taper * EV_TO_KCAL_PER_MOL / denom;
}
/* ---------------------------------------------------------------------- */
int FixQEqReax::CG( double *b, double *x )
{
int i, j, imax;
double tmp, alpha, beta, b_norm;
double sig_old, sig_new, sig0;
imax = 200;
pack_flag = 1;
sparse_matvec( &H, x, q );
comm->reverse_comm_fix( this ); //Coll_Vector( q );
vector_sum( r , 1., b, -1., q, n );
for( j = 0; j < n; ++j )
d[j] = r[j] * Hdia_inv[j]; //pre-condition
b_norm = parallel_norm( b, n );
sig_new = parallel_dot( r, d, n );
sig0 = sig_new;
for( i = 1; i < imax && sqrt(sig_new) / b_norm > tolerance; ++i ) {
comm->forward_comm_fix(this); //Dist_vector( d );
sparse_matvec( &H, d, q );
comm->reverse_comm_fix(this); //Coll_vector( q );
tmp = parallel_dot( d, q, n );
alpha = sig_new / tmp;
// comm->me, i, parallel_norm( d, n ), parallel_norm( q, n ), tmp );
vector_add( x, alpha, d, n );
vector_add( r, -alpha, q, n );
// pre-conditioning
for( j = 0; j < n; ++j )
p[j] = r[j] * Hdia_inv[j];
sig_old = sig_new;
sig_new = parallel_dot( r, p, n );
beta = sig_new / sig_old;
vector_sum( d, 1., p, beta, d, n );
}
if (i >= imax && comm->me == 0) {
char str[128];
sprintf(str,"Fix qeq/reax CG convergence failed after %d iterations at %d step",i,update->ntimestep);
error->warning(FLERR,str);
}
return i;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::sparse_matvec( sparse_matrix *A, double *x, double *b )
{
int i, j, itr_j;
for( i = 0; i < n; ++i )
b[i] = eta[ atom->type[i] ] * x[i];
for( i = n; i < N; ++i )
b[i] = 0;
for( i = 0; i < n; ++i ) {
for( itr_j=A->firstnbr[i]; itr_j<A->firstnbr[i]+A->numnbrs[i]; itr_j++) {
j = A->jlist[itr_j];
b[i] += A->val[itr_j] * x[j];
b[j] += A->val[itr_j] * x[i];
}
}
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::calculate_Q()
{
int i, k;
double u, s_sum, t_sum;
double *q = atom->q;
s_sum = parallel_vector_acc( s, n );
t_sum = parallel_vector_acc( t, n);
u = s_sum / t_sum;
for( i = 0; i < n; ++i ) {
q[i] = s[i] - u * t[i];
/* backup s & t */
for( k = 4; k > 0; --k ) {
s_hist[i][k] = s_hist[i][k-1];
t_hist[i][k] = t_hist[i][k-1];
}
s_hist[i][0] = s[i];
t_hist[i][0] = t[i];
}
pack_flag = 4;
comm->forward_comm_fix( this ); //Dist_vector( atom->q );
}
/* ---------------------------------------------------------------------- */
int FixQEqReax::pack_comm(int n, int *list, double *buf,
int pbc_flag, int *pbc)
{
int m;
if( pack_flag == 1)
for(m = 0; m < n; m++) buf[m] = d[list[m]];
else if( pack_flag == 2 )
for(m = 0; m < n; m++) buf[m] = s[list[m]];
else if( pack_flag == 3 )
for(m = 0; m < n; m++) buf[m] = t[list[m]];
else if( pack_flag == 4 )
for(m = 0; m < n; m++) buf[m] = atom->q[list[m]];
return 1;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::unpack_comm(int n, int first, double *buf)
{
int i, m;
if( pack_flag == 1)
for(m = 0, i = first; m < n; m++, i++) d[i] = buf[m];
else if( pack_flag == 2)
for(m = 0, i = first; m < n; m++, i++) s[i] = buf[m];
else if( pack_flag == 3)
for(m = 0, i = first; m < n; m++, i++) t[i] = buf[m];
else if( pack_flag == 4)
for(m = 0, i = first; m < n; m++, i++) atom->q[i] = buf[m];
}
/* ---------------------------------------------------------------------- */
int FixQEqReax::pack_reverse_comm(int n, int first, double *buf)
{
int i, m;
for(m = 0, i = first; m < n; m++, i++) buf[m] = q[i];
return 1;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::unpack_reverse_comm(int n, int *list, double *buf)
{
for(int m = 0; m < n; m++) q[list[m]] += buf[m];
}
/* ----------------------------------------------------------------------
memory usage of local atom-based arrays
------------------------------------------------------------------------- */
double FixQEqReax::memory_usage()
{
double bytes;
bytes = atom->nmax*nprev*2 * sizeof(double); // s_hist & t_hist
bytes += atom->nmax*11 * sizeof(double); // storage
bytes += n_cap*2 * sizeof(int); // matrix...
bytes += m_cap * sizeof(int);
bytes += m_cap * sizeof(double);
return bytes;
}
/* ----------------------------------------------------------------------
allocate fictitious charge arrays
------------------------------------------------------------------------- */
void FixQEqReax::grow_arrays(int nmax)
{
memory->grow(s_hist,nmax,nprev,"qeq:s_hist");
memory->grow(t_hist,nmax,nprev,"qeq:t_hist");
}
/* ----------------------------------------------------------------------
copy values within fictitious charge arrays
------------------------------------------------------------------------- */
void FixQEqReax::copy_arrays(int i, int j, int delflag)
{
for (int m = 0; m < nprev; m++) {
s_hist[j][m] = s_hist[i][m];
t_hist[j][m] = t_hist[i][m];
}
}
/* ----------------------------------------------------------------------
pack values in local atom-based array for exchange with another proc
------------------------------------------------------------------------- */
int FixQEqReax::pack_exchange(int i, double *buf)
{
for (int m = 0; m < nprev; m++) buf[m] = s_hist[i][m];
for (int m = 0; m < nprev; m++) buf[nprev+m] = t_hist[i][m];
return nprev*2;
}
/* ----------------------------------------------------------------------
unpack values in local atom-based array from exchange with another proc
------------------------------------------------------------------------- */
int FixQEqReax::unpack_exchange(int nlocal, double *buf)
{
for (int m = 0; m < nprev; m++) s_hist[nlocal][m] = buf[m];
for (int m = 0; m < nprev; m++) t_hist[nlocal][m] = buf[nprev+m];
return nprev*2;
}
/* ---------------------------------------------------------------------- */
double FixQEqReax::parallel_norm( double *v, int n )
{
int i;
double my_sum, norm_sqr;
my_sum = 0;
for( i = 0; i < n; ++i )
my_sum += SQR( v[i] );
MPI_Allreduce( &my_sum, &norm_sqr, 1, MPI_DOUBLE, MPI_SUM, world );
return sqrt( norm_sqr );
}
/* ---------------------------------------------------------------------- */
double FixQEqReax::parallel_dot( double *v1, double *v2, int n )
{
int i;
double my_dot, res;
my_dot = 0;
res = 0;
for( i = 0; i < n; ++i )
my_dot += v1[i] * v2[i];
MPI_Allreduce( &my_dot, &res, 1, MPI_DOUBLE, MPI_SUM, world );
return res;
}
/* ---------------------------------------------------------------------- */
double FixQEqReax::parallel_vector_acc( double *v, int n )
{
int i;
double my_acc, res;
my_acc = 0;
for( i = 0; i < n; ++i )
my_acc += v[i];
MPI_Allreduce( &my_acc, &res, 1, MPI_DOUBLE, MPI_SUM, world );
return res;
}
/* ---------------------------------------------------------------------- */
double FixQEqReax::norm( double* v1, int k )
{
double ret = 0;
for( --k; k>=0; --k )
ret += ( v1[k] * v1[k] );
return sqrt( ret );
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::vector_sum( double* dest, double c, double* v,
double d, double* y, int k )
{
for( --k; k>=0; --k )
dest[k] = c * v[k] + d * y[k];
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::vector_scale( double* dest, double c, double* v, int k )
{
for( --k; k>=0; --k )
dest[k] = c * v[k];
}
/* ---------------------------------------------------------------------- */
double FixQEqReax::dot( double* v1, double* v2, int k )
{
double ret = 0;
for( --k; k>=0; --k )
ret += v1[k] * v2[k];
return ret;
}
/* ---------------------------------------------------------------------- */
void FixQEqReax::vector_add( double* dest, double c, double* v, int k )
{
for( --k; k>=0; --k )
dest[k] += c * v[k];
}

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