more tersoff changes, still a mess!
[physik/posic.git] / moldyn.c
index af0132d..f09c93a 100644 (file)
--- a/moldyn.c
+++ b/moldyn.c
@@ -139,6 +139,14 @@ int set_potential2b(t_moldyn *moldyn,pf_func2b func,void *params) {
        return 0;
 }
 
+int set_potential2b_post(t_moldyn *moldyn,pf_func2b_post func,void *params) {
+
+       moldyn->func2b_post=func;
+       moldyn->pot2b_params=params;
+
+       return 0;
+}
+
 int set_potential3b(t_moldyn *moldyn,pf_func3b func,void *params) {
 
        moldyn->func3b=func;
@@ -568,9 +576,8 @@ int link_cell_neighbour_index(t_moldyn *moldyn,int i,int j,int k,t_list *cell) {
        }
 
        lc->dnlc=count1;
-       lc->countn=27;
 
-       return count2;
+       return count1;
 }
 
 int link_cell_shutdown(t_moldyn *moldyn) {
@@ -656,10 +663,11 @@ int moldyn_integrate(t_moldyn *moldyn) {
        /* sqaure of some variables */
        moldyn->tau_square=moldyn->tau*moldyn->tau;
        moldyn->cutoff_square=moldyn->cutoff*moldyn->cutoff;
+
        /* calculate initial forces */
        potential_force_calc(moldyn);
 
-       /* do some checks before we actually start calculating bullshit */
+       /* some stupid checks before we actually start calculating bullshit */
        if(moldyn->cutoff>0.5*moldyn->dim.x)
                printf("[moldyn] warning: cutoff > 0.5 x dim.x\n");
        if(moldyn->cutoff>0.5*moldyn->dim.y)
@@ -672,6 +680,11 @@ int moldyn_integrate(t_moldyn *moldyn) {
 
        /* zero absolute time */
        moldyn->time=0.0;
+
+       /* debugging, ignre */
+       moldyn->debug=0;
+
+       /* executing the schedule */
        for(sched=0;sched<moldyn->schedule.content_count;sched++) {
 
                /* setting amount of runs and finite time step size */
@@ -684,6 +697,7 @@ int moldyn_integrate(t_moldyn *moldyn) {
        for(i=0;i<moldyn->time_steps;i++) {
 
                /* integration step */
+printf("MOVE\n");
                moldyn->integrate(moldyn);
 
                /* p/t scaling */
@@ -728,7 +742,8 @@ int moldyn_integrate(t_moldyn *moldyn) {
                        if(!(i%v)) {
                                visual_atoms(&(moldyn->vis),moldyn->time,
                                             moldyn->atom,moldyn->count);
-                               printf("\rsched: %d, steps: %d",sched,i);
+                               printf("\rsched: %d, steps: %d, theta: %d",
+                                      sched,i,moldyn->debug);
                                fflush(stdout);
                        }
                }
@@ -739,6 +754,9 @@ int moldyn_integrate(t_moldyn *moldyn) {
                if(schedule->hook)
                        schedule->hook(moldyn,schedule->hook_params);
 
+               /* get a new info line */
+               printf("\n");
+
        }
 
        return 0;
@@ -776,7 +794,6 @@ int velocity_verlet(t_moldyn *moldyn) {
 
        /* forces depending on chosen potential */
        potential_force_calc(moldyn);
-       //moldyn->potential_force_function(moldyn);
 
        for(i=0;i<count;i++) {
                /* again velocities */
@@ -805,8 +822,8 @@ int potential_force_calc(t_moldyn *moldyn) {
        t_list neighbour_i2[27];
        //t_list neighbour_j[27];
        t_list *this,*that;
-       u8 bc_ij,bc_ijk;
-       int countn,dnlc;
+       u8 bc_ij,bc_ik;
+       int dnlc;
 
        count=moldyn->count;
        itom=moldyn->atom;
@@ -815,6 +832,7 @@ int potential_force_calc(t_moldyn *moldyn) {
        /* reset energy */
        moldyn->energy=0.0;
 
+       /* get energy and force of every atom */
        for(i=0;i<count;i++) {
 
                /* reset force */
@@ -833,10 +851,9 @@ int potential_force_calc(t_moldyn *moldyn) {
                                (itom[i].r.z+moldyn->dim.z/2)/lc->z,
                                neighbour_i);
 
-                       countn=lc->countn;
                        dnlc=lc->dnlc;
 
-                       for(j=0;j<countn;j++) {
+                       for(j=0;j<27;j++) {
 
                                this=&(neighbour_i[j]);
                                list_reset(this);
@@ -865,59 +882,12 @@ int potential_force_calc(t_moldyn *moldyn) {
                                           !(jtom->attr&ATOM_ATTR_3BP))
                                                continue;
 
-                       /*
-                        * according to mr. nordlund, we dont need to take the 
-                        * sum over all atoms now, as 'this is centered' around
-                        * atom i ...
-                        * i am not quite sure though! there is a not vanishing
-                        * part even if f_c_ik is zero ...
-                        * this analytical potentials suck!
-                        * switching from mc to md to dft soon!
-                        */
-
-                       //              link_cell_neighbour_index(moldyn,
-                       //                 (jtom->r.x+moldyn->dim.x/2)/lc->x,
-                       //                 (jtom->r.y+moldyn->dim.y/2)/lc->y,
-                       //                 (jtom->r.z+moldyn->dim.z/2)/lc->z,
-                       //                 neighbour_j);
-
-//                                     /* neighbours of j */
-//                                     for(k=0;k<lc->countn;k++) {
-//
-//                                             that=&(neighbour_j[k]);
-//                                             list_reset(that);
-//                                     
-//                                             if(that->start==NULL)
-//                                                     continue;
-//
-//                                             bc_ijk=(k<lc->dnlc)?0:1;
-//
-//                                             do {
-//
-//                     ktom=that->current->data;
-//
-//                     if(!(ktom->attr&ATOM_ATTR_3BP))
-//                             continue;
-//
-//                     if(ktom==jtom)
-//                             continue;
-//
-//                     if(ktom==&(itom[i]))
-//                             continue;
-//
-//                     moldyn->func3b(moldyn,&(itom[i]),jtom,ktom,bc_ijk);
-//
-/*                                             } while(list_next(that)!=\ */
-//                                                     L_NO_NEXT_ELEMENT);
-//
-//                                     }
-                       
                                        /* copy the neighbour lists */
                                        memcpy(neighbour_i2,neighbour_i,
                                               27*sizeof(t_list));
 
                                        /* get neighbours of i */
-                                       for(k=0;k<countn;k++) {
+                                       for(k=0;k<27;k++) {
 
                                                that=&(neighbour_i2[k]);
                                                list_reset(that);
@@ -925,7 +895,7 @@ int potential_force_calc(t_moldyn *moldyn) {
                                                if(that->start==NULL)
                                                        continue;
 
-                                               bc_ijk=(k<dnlc)?0:1;
+                                               bc_ik=(k<dnlc)?0:1;
 
                                                do {
 
@@ -940,9 +910,7 @@ int potential_force_calc(t_moldyn *moldyn) {
                        if(ktom==&(itom[i]))
                                continue;
 
-printf("Debug: atom %d before 3bp: %08x %08x %08x | %.15f %.15f %.15f\n",i,&itom[i],jtom,ktom,itom[i].r.x,itom[i].f.x,itom[i].v.x);
-                       moldyn->func3b(moldyn,&(itom[i]),jtom,ktom,bc_ijk);
-printf("Debug: atom %d after 3bp: %08x %08x %08x | %.15f %.15f %.15f\n",i,&itom[i],jtom,ktom,itom[i].r.x,itom[i].f.x,itom[i].v.x);
+                       moldyn->func3b(moldyn,&(itom[i]),jtom,ktom,bc_ik|bc_ij);
 
                                                } while(list_next(that)!=\
                                                        L_NO_NEXT_ELEMENT);
@@ -950,8 +918,17 @@ printf("Debug: atom %d after 3bp: %08x %08x %08x | %.15f %.15f %.15f\n",i,&itom[
                                        }
                                        
                                } while(list_next(this)!=L_NO_NEXT_ELEMENT);
+               
+                               /* 2bp post function */
+                               if(moldyn->func2b_post) {
+                                       moldyn->func2b_post(moldyn,
+                                                           &(itom[i]),
+                                                           jtom,bc_ij);
+                               }
+
                        }
                }
+printf("debug atom %d: %.15f %.15f %.15f\n",i,itom[i].r.x,itom[i].v.x,itom[i].f.x);
        }
 
        return 0;
@@ -1072,6 +1049,21 @@ int tersoff_mult_complete_params(t_tersoff_mult_params *p) {
        p->lambda_m=0.5*(p->lambda[0]+p->lambda[1]);
        p->mu_m=0.5*(p->mu[0]+p->mu[1]);
 
+       printf("[moldyn] tersoff mult parameter info:\n");
+       printf("  S (m)  | %.12f | %.12f | %.12f\n",p->S[0],p->S[1],p->Smixed);
+       printf("  R (m)  | %.12f | %.12f | %.12f\n",p->R[0],p->R[1],p->Rmixed);
+       printf("  A (eV) | %f | %f | %f\n",p->A[0]/EV,p->A[1]/EV,p->Amixed/EV);
+       printf("  B (eV) | %f | %f | %f\n",p->B[0]/EV,p->B[1]/EV,p->Bmixed/EV);
+       printf("  lambda | %f | %f | %f\n",p->lambda[0],p->lambda[1],
+                                         p->lambda_m);
+       printf("  mu     | %f | %f | %f\n",p->mu[0],p->mu[1],p->mu_m);
+       printf("  beta   | %.10f | %.10f\n",p->beta[0],p->beta[1]);
+       printf("  n      | %f | %f\n",p->n[0],p->n[1]);
+       printf("  c      | %f | %f\n",p->c[0],p->c[1]);
+       printf("  d      | %f | %f\n",p->d[0],p->d[1]);
+       printf("  h      | %f | %f\n",p->h[0],p->h[1]);
+       printf("  chi    | %f \n",p->chi);
+
        return 0;
 }
 
@@ -1098,6 +1090,7 @@ int tersoff_mult_1bp(t_moldyn *moldyn,t_atom *ai) {
        exchange->h=&(params->h[num]);
 
        exchange->betan=pow(*(exchange->beta),*(exchange->n));
+       exchange->n_betan=*(exchange->n)*exchange->betan;
        exchange->c2=params->c[num]*params->c[num];
        exchange->d2=params->d[num]*params->d[num];
        exchange->c2d2=exchange->c2/exchange->d2;
@@ -1125,6 +1118,7 @@ int tersoff_mult_2bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
        exchange=&(params->exchange);
 
        exchange->run3bp=0;
+       exchange->run2bp_post=0;
        
        /*
         * we need: f_c, df_c, f_r, df_r
@@ -1139,18 +1133,16 @@ int tersoff_mult_2bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
        d_ij=v3_norm(&dist_ij);
 
        /* save for use in 3bp */
-       exchange->dist_ij=dist_ij; /* <- needed ? */
        exchange->d_ij=d_ij;
+       exchange->dist_ij=dist_ij;
 
        /* constants */
        if(num==aj->bnum) {
                S=params->S[num];
                R=params->R[num];
                A=params->A[num];
+               B=params->B[num];
                lambda=params->lambda[num];
-               /* more constants depending of atoms i and j, needed in 3bp */
-               params->exchange.B=&(params->B[num]);
-               params->exchange.mu=&(params->mu[num]);
                mu=params->mu[num];
                params->exchange.chi=1.0;
        }
@@ -1158,21 +1150,18 @@ int tersoff_mult_2bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
                S=params->Smixed;
                R=params->Rmixed;
                A=params->Amixed;
+               B=params->Bmixed;
                lambda=params->lambda_m;
-               /* more constants depending of atoms i and j, needed in 3bp */
-               params->exchange.B=&(params->Bmixed);
-               params->exchange.mu=&(params->mu_m);
                mu=params->mu_m;
                params->exchange.chi=params->chi;
        }
-
        if(d_ij>S)
                return 0;
 
        f_r=A*exp(-lambda*d_ij);
        df_r=-lambda*f_r/d_ij;
 
-       /* f_a, df_a calc + save for 3bp use */
+       /* f_a, df_a calc + save for later use */
        exchange->f_a=-B*exp(-mu*d_ij);
        exchange->df_a=-mu*exchange->f_a/d_ij;
 
@@ -1200,8 +1189,78 @@ int tersoff_mult_2bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
        exchange->f_c=f_c;
        exchange->df_c=df_c;
 
-       /* enable the run of 3bp function */
+       /* enable the run of 3bp function and 2bp post processing */
        exchange->run3bp=1;
+       exchange->run2bp_post=1;
+
+       /* reset 3bp sums */
+       exchange->zeta=0.0;
+       v3_zero(&(exchange->db_ij));
+
+       return 0;
+}
+
+/* tersoff 2 body post part */
+
+int tersoff_mult_post_2bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
+
+       /* here we have to allow for the 3bp sums */
+
+       t_tersoff_mult_params *params;
+       t_tersoff_exchange *exchange;
+
+       t_3dvec force,temp,*db_ij,*dist_ij;
+       double db_ij_scale1,db_ij_scale2;
+       double b_ij;
+       double f_c,df_c,f_a,df_a;
+       double chi,n,n_betan;
+       double zeta;
+
+       params=moldyn->pot2b_params;
+       exchange=&(params->exchange);
+
+       /* we do not run if f_c_ij was detected to be 0! */
+       if(!(exchange->run2bp_post))
+               return 0;
+
+       db_ij=&(exchange->db_ij);
+       f_c=exchange->f_c;
+       df_c=exchange->df_c;
+       f_a=exchange->f_a;
+       df_a=exchange->df_a;
+       n_betan=exchange->n_betan;
+       n=*(exchange->n);
+       chi=exchange->chi;
+       dist_ij=&(exchange->dist_ij);
+       zeta=exchange->zeta;
+
+       db_ij_scale2=pow(zeta,n-1.0);
+printf("DEBUG: %.15f %.15f\n",zeta,db_ij_scale2);
+       db_ij_scale1=db_ij_scale2*zeta;
+       db_ij_scale2*=n_betan;
+       db_ij_scale1=pow((1.0+n_betan*db_ij_scale1),-1.0/(2*n)-1);
+       b_ij=chi*db_ij_scale1*(1.0+n_betan*db_ij_scale1);
+       db_ij_scale1*=(-1.0*chi/(2*n));
+
+       /* db_ij part */
+       v3_scale(db_ij,db_ij,(db_ij_scale1*db_ij_scale2));
+       v3_scale(db_ij,db_ij,f_a);
+
+       /* df_a part */
+       v3_scale(&temp,dist_ij,b_ij*df_a);
+
+       /* db_ij + df_a part */
+       v3_add(&force,&temp,db_ij);
+       v3_scale(&force,&force,f_c);
+
+       /* df_c part */
+       v3_scale(&temp,dist_ij,f_a*b_ij*df_c);
+
+       /* add energy of 3bp sum */
+       moldyn->energy+=(0.5*f_c*b_ij*f_a);
+
+       /* add force of 3bp calculation (all three parts) */
+       v3_add(&(ai->f),&temp,&force);
 
        return 0;
 }
@@ -1212,22 +1271,19 @@ int tersoff_mult_3bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,t_atom *ak,u8 bc) {
 
        t_tersoff_mult_params *params;
        t_tersoff_exchange *exchange;
-       t_3dvec dist_ij,dist_ik,dist_jk;
+       t_3dvec dist_ij,dist_ik;
        t_3dvec temp,force;
        double R,S,s_r;
-       double d_ij,d_ij2,d_ik,d_jk;
-       double f_c,df_c,b_ij,f_a,df_a;
+       double d_ij,d_ik;
+       double rijrik,dijdik;
+       double f_c,df_c,f_a,df_a;
        double f_c_ik,df_c_ik,arg;
-       double scale;
-       double chi;
-       double n,c,d,h,beta,betan;
+       double n,c,d,h;
        double c2,d2,c2d2;
-       double numer,denom;
-       double theta,cos_theta,sin_theta;
-       double d_theta,d_theta1,d_theta2;
-       double h_cos,h_cos2,d2_h_cos2;
-       double frac1,bracket1,bracket2,bracket2_n_1,bracket2_n;
-       double bracket3,bracket3_pow_1,bracket3_pow;
+       double cos_theta,d_costheta1,d_costheta2;
+       double h_cos,d2_h_cos2;
+       double frac;
+       double g;
        int num;
 
        params=moldyn->pot3b_params;
@@ -1244,10 +1300,13 @@ int tersoff_mult_3bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,t_atom *ak,u8 bc) {
         */
 
        d_ij=exchange->d_ij;
-       d_ij2=exchange->d_ij2;
+       dist_ij=exchange->dist_ij;
 
        f_a=params->exchange.f_a;
        df_a=params->exchange.df_a;
+
+       f_c=exchange->f_c;
+       df_c=exchange->df_c;
        
        /* d_ij is <= S, as we didn't return so far! */
 
@@ -1256,17 +1315,15 @@ int tersoff_mult_3bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,t_atom *ak,u8 bc) {
         *
         * - for b_ij: chi, beta, f_c_ik, w(=1), c, d, h, n, cos_theta
         *
-        * - for db_ij: d_theta, sin_theta, cos_theta, f_c_ik, df_c_ik,
-        *              w_ik,
+        * - for db_ij: d_costheta, cos_theta, f_c_ik, df_c_ik, w_ik
         *
         */
 
-       
        v3_sub(&dist_ik,&(ai->r),&(ak->r));
        if(bc) check_per_bound(moldyn,&dist_ik);
        d_ik=v3_norm(&dist_ik);
 
-       /* constants for f_c_ik calc */
+       /* constants */
        if(num==ak->bnum) {
                R=params->R[num];
                S=params->S[num];
@@ -1276,28 +1333,11 @@ int tersoff_mult_3bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,t_atom *ak,u8 bc) {
                S=params->Smixed;
        }
 
-       /* calc of f_c_ik */
+       /* there is no contribution if f_c_ik = 0 */
        if(d_ik>S)
                return 0;
 
-       if(d_ik<R) {
-               /* f_c_ik = 1, df_c_ik = 0 */
-               f_c_ik=1.0;
-               df_c_ik=0.0;
-       }
-       else {
-               s_r=S-R;
-               arg=M_PI*(d_ik-R)/s_r;
-               f_c_ik=0.5+0.5*cos(arg);
-               df_c_ik=-0.5*sin(arg)*(M_PI/(s_r*d_ik));
-       }
-       
-       v3_sub(&dist_jk,&(aj->r),&(ak->r));
-       if(bc) check_per_bound(moldyn,&dist_jk);
-       d_jk=v3_norm(&dist_jk);
-
-       beta=*(exchange->beta);
-       betan=exchange->betan;
+       /* get exchange data */
        n=*(exchange->n);
        c=*(exchange->c);
        d=*(exchange->d);
@@ -1306,62 +1346,70 @@ int tersoff_mult_3bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,t_atom *ak,u8 bc) {
        d2=exchange->d2;
        c2d2=exchange->c2d2;
 
-       numer=d_ij2+d_ik*d_ik-d_jk*d_jk;
-       denom=2*d_ij*d_ik;
-       cos_theta=numer/denom;
-       sin_theta=sqrt(1.0-(cos_theta*cos_theta));
-       theta=acos(cos_theta);
-       d_theta=(-1.0/sqrt(1.0-cos_theta*cos_theta))/(denom*denom);
-       d_theta1=2*denom-numer*2*d_ik/d_ij;
-       d_theta2=2*denom-numer*2*d_ij/d_ik;
-       d_theta1*=d_theta;
-       d_theta2*=d_theta;
+       /* cosine of theta by scalaproduct */
+       rijrik=v3_scalar_product(&dist_ij,&dist_ik);
+       dijdik=d_ij*d_ik;
+       cos_theta=rijrik/dijdik;
+
+       /* hack - cos theta machine accuracy problems! */
+       if(cos_theta>1.0||cos_theta<-1.0) {
+               printf("THETA CORRECTION\n");
+               moldyn->debug++;
+               if(fabs(cos_theta)>1.0+ACCEPTABLE_ERROR)
+                       printf("[moldyn] WARNING: cos theta failure!\n");
+               if(cos_theta<0) {
+                       cos_theta=-1.0;
+               }
+               else {
+                       cos_theta=1.0;
+               }
+       }
+
+       d_costheta1=dijdik-rijrik*d_ik/d_ij;
+       d_costheta2=dijdik-rijrik*d_ij/d_ik;
 
        h_cos=(h-cos_theta);
-       h_cos2=h_cos*h_cos;
-       d2_h_cos2=d2-h_cos2;
-
-       /* some usefull expressions */
-       frac1=c2/(d2-h_cos2);
-       bracket1=1+c2d2-frac1;
-       bracket2=f_c_ik*bracket1;
-       bracket2_n_1=pow(bracket2,n-1.0);
-       bracket2_n=bracket2_n_1*bracket2;
-       bracket3=1+betan*bracket2_n;
-       bracket3_pow_1=pow(bracket3,(-1.0/(2.0*n))-1.0);
-       bracket3_pow=bracket3_pow_1*bracket3;
-
-       /* now go on with calc of b_ij and derivation of b_ij */
-       b_ij=chi*bracket3_pow;
-
-       /* derivation of theta */
-       v3_scale(&force,&dist_ij,d_theta1);
-       v3_scale(&temp,&dist_ik,d_theta2);
+       d2_h_cos2=d2+(h_cos*h_cos);
+
+       frac=c2/(d2_h_cos2);
+       g=1.0+c2d2-frac;
+
+       /* d_costheta contrib to db_ij (needed in all remaining cases) */
+       v3_scale(&temp,&dist_ij,d_costheta1);
+       v3_scale(&force,&dist_ik,d_costheta2);
        v3_add(&force,&force,&temp);
+       v3_scale(&force,&force,-2.0*frac*h_cos/d2_h_cos2); /* f_c_ik missing */
 
-       /* part 1 of derivation of b_ij */
-       v3_scale(&force,&force,sin_theta*2*h_cos*f_c_ik*frac1);
+       if(d_ik<R) {
+               /* f_c_ik = 1, df_c_ik = 0 */   
+               /* => only d_costheta contrib to db_ij */
+               // => do nothing ...
 
-       /* part 2 of derivation of b_ij */
-       v3_scale(&temp,&dist_ik,df_c_ik*bracket1);
+               /* zeta, f_c_ik = 1 */
+               exchange->zeta+=g;
+       }
+       else {
+               s_r=S-R;
+               arg=M_PI*(d_ik-R)/s_r;
+               f_c_ik=0.5+0.5*cos(arg);
+               df_c_ik=-0.5*sin(arg)*(M_PI/(s_r*d_ik));
 
-       /* sum up and scale ... */
-       v3_add(&temp,&temp,&force);
-       scale=bracket2_n_1*n*betan*(1+betan*bracket3_pow_1)*chi*(1.0/(2.0*n));
-       v3_scale(&temp,&temp,scale);
+               /* scale d_costheta contrib with f_c_ik */
+               v3_scale(&force,&force,f_c_ik);
 
-       /* now construct an energy and a force out of that */
-       v3_scale(&temp,&temp,f_a);
-       v3_scale(&force,&dist_ij,df_a*b_ij);
-       v3_add(&temp,&temp,&force);
-       v3_scale(&temp,&temp,f_c);
-       v3_scale(&force,&dist_ij,df_c*b_ij*f_a);
-       v3_add(&force,&force,&temp);
+               /* df_c_ik contrib to db_ij */
+               v3_scale(&temp,&dist_ik,df_c_ik*g);
 
-       /* add forces */
-       v3_add(&(ai->f),&(ai->f),&force);
-       /* energy is 0.5 f_r f_c, but we will sum it up twice ... */
-       moldyn->energy+=(0.25*f_a*b_ij*f_c);
+               /* sum up both parts */
+               v3_add(&force,&force,&temp);
+               
+               /* zeta */
+               exchange->zeta+=f_c_ik*g;
+       }
+printf("%.30f\n",exchange->zeta);
+       
+       /* add to db_ij */
+       v3_add(&(exchange->db_ij),&(exchange->db_ij),&force);
                                
        return 0;
 }