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TABLE OF CONTENTS

  1. QMD-MGDFT/lforce.c

QMD-MGDFT/lforce.c

NAME
   Ab initio real space code with multigrid acceleration
   Quantum molecular dynamics package.
   Version: 2.1.5
COPYRIGHT
   Copyright (C) 1995  Emil Briggs
   Copyright (C) 1998  Emil Briggs, Charles Brabec, Mark Wensell, 
                       Dan Sullivan, Chris Rapcewicz, Jerzy Bernholc
   Copyright (C) 2001  Emil Briggs, Wenchang Lu,
                       Marco Buongiorno Nardelli,Charles Brabec, 
                       Mark Wensell,Dan Sullivan, Chris Rapcewicz,
                       Jerzy Bernholc
FUNCTION
   void lforce(REAL *rho, REAL *vh)
   Evaluates the ionic force component due to the local part of potentials
   and the compensating charges via the Hellman-Feynman theorem.
INPUTS
   rho: total charge density
   vh:  Hartree potential
OUTPUT
   forces are added to structure ct.ions
PARENTS
   force.c
CHILDREN
   get_index.c to_cartisian.c linint.c
SOURCE
    #include <float.h>
    #include <math.h>
    #include <stdio.h>
    #include <stdlib.h>
    #include "md.h"
    #include "inline.h"
    
    
    
    void lforce(REAL *rho, REAL *vh)
    {
    
        int ix, iy, iz;
        int ion, idx;
        int *pvec, docount;
        int ilow, jlow, klow, ihi, jhi, khi, map;
        int icut, itmp, icenter; 
        int Aix[NX_GRID], Aiy[NY_GRID], Aiz[NZ_GRID];
        REAL r, xc, yc, zc, Zv, rc, rcnorm, t1;
        REAL ax[3], bx[3], x, y, z, rc2, invdr, norm1;
        REAL fx, fy, fz;
        SPECIES *sp;
        ION *iptr;
        REAL *rx, *ry, *rz;
        REAL *urx, *ury, *urz;
    #if 1
        REAL time1, time2;
        time1 = my_crtc();
    #endif
    
    
        rx = get_mem(7 * P0_BASIS);
        ry = rx + P0_BASIS;
        rz = ry + P0_BASIS;
        urx = rz + P0_BASIS;
        ury = urx + P0_BASIS;
        urz = ury + P0_BASIS;
        pvec = (int *)get_mem(P0_BASIS);
    
    
        /* Loop over ions */
        for(ion = 0;ion < ct.num_ions;ion++) {
    
    
            /* Generate ion pointer */
            iptr = &ct.ions[ion];
    
    
            /* Get species type */
            sp = ct.sp[iptr->species];
    
            icenter = sp->ldim / 2;
            icut = (icenter + 1) * (icenter + 1);
    
    
            Zv = sp->zvalence;
            rc = sp->rc;
            rc2 = rc * rc;
            rcnorm = rc*rc*rc * pow(PI, 1.5);
            rcnorm = ONE / rcnorm;
            rc2 = sp->rc * sp->rc;
            norm1 = - Zv * rcnorm / rc2;
            invdr = ONE / sp->drlig;
    
    
            /* Determine mapping indices or even if a mapping exists */
            map = get_index(iptr, Aix, Aiy, Aiz, &ilow, &ihi, &jlow, &jhi, &klow, &khi,
                            sp->ldim, PX0_GRID, PY0_GRID, PZ0_GRID,
                            ct.psi_nxgrid, ct.psi_nygrid, ct.psi_nzgrid,
                            &iptr->lxcstart, &iptr->lycstart, &iptr->lzcstart);
    
    
    
            /* If there is any overlap then we have to generate the mapping */
            my_barrier();
            docount = 0;
            if(map) {
    
                xc = iptr->lxcstart;
                for(ix = 0;ix < sp->ldim;ix++) {
    
                    yc = iptr->lycstart;
                    for(iy = 0;iy < sp->ldim;iy++) {
    
                        zc = iptr->lzcstart;
                        for(iz = 0;iz < sp->ldim;iz++) {
    
                            if( ((Aix[ix] >= ilow) && (Aix[ix] <= ihi)) &&
                                ((Aiy[iy] >= jlow) && (Aiy[iy] <= jhi)) && 
                                ((Aiz[iz] >= klow) && (Aiz[iz] <= khi)) ) {
    
    
                                /* Cut it off if required */
                                itmp = (ix - icenter)*(ix - icenter) +
                                       (iy - icenter)*(iy - icenter) +
                                       (iz - icenter)*(iz - icenter);
    
                                if(icut >= itmp) {
    
                                  pvec[docount] =
                                       PY0_GRID * PZ0_GRID * (Aix[ix] % PX0_GRID) +
                                       PZ0_GRID * (Aiy[iy] % PY0_GRID) +
                                       (Aiz[iz] % PZ0_GRID);
    
                                  ax[0] = xc - iptr->xtal[0];
                                  ax[1] = yc - iptr->xtal[1];
                                  ax[2] = zc - iptr->xtal[2];
                                  to_cartesian(ax, bx);
                                                                                                         
                                  x = bx[0];
                                  y = bx[1];
                                  z = bx[2];
    
                                  r = metric(ax);
                                  t1 = linint(sp->drlocalig, r, invdr);
                                  r += 1.0e-10;
    
                                  rx[docount] = -t1 * x / r;
                                  ry[docount] = -t1 * y / r;
                                  rz[docount] = -t1 * z / r;
    
                                  t1 = 2.0 * norm1 * exp(-r*r / rc2);
                                  urx[docount] =  x * t1;
                                  ury[docount] =  y * t1;
                                  urz[docount] =  z * t1;
                     
                                  docount++;
     
                                } /* end if */ 
    
                            } /* end if */
    
                            zc += ct.hzgrid;
    
                        } /* end for */
                   
                        yc += ct.hygrid;
    
                    } /* end for */
    
                    xc += ct.hxgrid;
    
                } /* end for */
    
    
    
            } /* end if */
    
            my_barrier();
       
         
            fx = fy = fz = 0.0;
            for(idx = 0;idx < docount;idx++) {
    
                fx += rx[idx] * rho[pvec[idx]];
                fy += ry[idx] * rho[pvec[idx]];
                fz += rz[idx] * rho[pvec[idx]];
                fx += urx[idx] * vh[pvec[idx]];
                fy += ury[idx] * vh[pvec[idx]];
                fz += urz[idx] * vh[pvec[idx]];
    
            } /* end for */
    
    
    
            iptr->force[ct.fpt[0]][0] -= ct.vel * real_sum_all(fx);
            iptr->force[ct.fpt[0]][1] -= ct.vel * real_sum_all(fy);
            iptr->force[ct.fpt[0]][2] -= ct.vel * real_sum_all(fz);
    
        } /* end for */
    
    
    
        release_mem(pvec);
        release_mem(rx);
      
    #if 1
        time2 = my_crtc();
        md_timings(LFORCE_TIME, (time2 - time1), 0); 
    #endif
    
    } /* end lforce */