+ atom=moldyn->atom;
+ moldyn->ekin=0.0;
+
+ for(i=0;i<moldyn->count;i++)
+ moldyn->ekin+=0.5*atom[i].mass*v3_absolute_square(&(atom[i].v));
+
+ return moldyn->ekin;
+}
+
+double get_e_pot(t_moldyn *moldyn) {
+
+ return moldyn->energy;
+}
+
+double update_e_kin(t_moldyn *moldyn) {
+
+ return(get_e_kin(moldyn));
+}
+
+double get_total_energy(t_moldyn *moldyn) {
+
+ return(moldyn->ekin+moldyn->energy);
+}
+
+t_3dvec get_total_p(t_moldyn *moldyn) {
+
+ t_3dvec p,p_total;
+ int i;
+ t_atom *atom;
+
+ atom=moldyn->atom;
+
+ v3_zero(&p_total);
+ for(i=0;i<moldyn->count;i++) {
+ v3_scale(&p,&(atom[i].v),atom[i].mass);
+ v3_add(&p_total,&p_total,&p);
+ }
+
+ return p_total;
+}
+
+double estimate_time_step(t_moldyn *moldyn,double nn_dist,double t) {
+
+ double tau;
+
+ tau=0.05*nn_dist/(sqrt(3.0*K_BOLTZMANN*t/moldyn->atom[0].mass));
+ tau*=1.0E-9;
+ if(tau<moldyn->tau)
+ printf("[moldyn] warning: time step (%f > %.15f)\n",
+ moldyn->tau,tau);
+
+ return tau;
+}
+
+/*
+ * numerical tricks
+ */
+
+/* linked list / cell method */
+
+int link_cell_init(t_moldyn *moldyn) {
+
+ t_linkcell *lc;
+ int i;
+ int fd;
+
+ fd=open("/dev/null",O_WRONLY);
+
+ lc=&(moldyn->lc);
+
+ /* partitioning the md cell */
+ lc->nx=moldyn->dim.x/moldyn->cutoff;
+ lc->x=moldyn->dim.x/lc->nx;
+ lc->ny=moldyn->dim.y/moldyn->cutoff;
+ lc->y=moldyn->dim.y/lc->ny;
+ lc->nz=moldyn->dim.z/moldyn->cutoff;
+ lc->z=moldyn->dim.z/lc->nz;
+
+ lc->cells=lc->nx*lc->ny*lc->nz;
+ lc->subcell=malloc(lc->cells*sizeof(t_list));
+
+ printf("[moldyn] initializing linked cells (%d)\n",lc->cells);
+
+ for(i=0;i<lc->cells;i++)
+ //list_init(&(lc->subcell[i]),1);
+ list_init(&(lc->subcell[i]),fd);
+
+ link_cell_update(moldyn);
+
+ return 0;
+}
+
+int link_cell_update(t_moldyn *moldyn) {
+
+ int count,i,j,k;
+ int nx,ny,nz;
+ t_atom *atom;
+ t_linkcell *lc;
+
+ atom=moldyn->atom;
+ lc=&(moldyn->lc);
+
+ nx=lc->nx;
+ ny=lc->ny;
+ nz=lc->nz;
+
+ for(i=0;i<lc->cells;i++)
+ list_destroy(&(moldyn->lc.subcell[i]));
+
+ for(count=0;count<moldyn->count;count++) {
+ i=(atom[count].r.x+(moldyn->dim.x/2))/lc->x;
+ j=(atom[count].r.y+(moldyn->dim.y/2))/lc->y;
+ k=(atom[count].r.z+(moldyn->dim.z/2))/lc->z;
+ list_add_immediate_ptr(&(moldyn->lc.subcell[i+j*nx+k*nx*ny]),
+ &(atom[count]));
+ }
+
+ return 0;
+}
+
+int link_cell_neighbour_index(t_moldyn *moldyn,int i,int j,int k,t_list *cell) {
+
+ t_linkcell *lc;
+ int a;
+ int count1,count2;
+ int ci,cj,ck;
+ int nx,ny,nz;
+ int x,y,z;
+ u8 bx,by,bz;
+
+ lc=&(moldyn->lc);
+ nx=lc->nx;
+ ny=lc->ny;
+ nz=lc->nz;
+ count1=1;
+ count2=27;
+ a=nx*ny;
+
+
+ cell[0]=lc->subcell[i+j*nx+k*a];
+ for(ci=-1;ci<=1;ci++) {
+ bx=0;
+ x=i+ci;
+ if((x<0)||(x>=nx)) {
+ x=(x+nx)%nx;
+ bx=1;
+ }
+ for(cj=-1;cj<=1;cj++) {
+ by=0;
+ y=j+cj;
+ if((y<0)||(y>=ny)) {
+ y=(y+ny)%ny;
+ by=1;
+ }
+ for(ck=-1;ck<=1;ck++) {
+ bz=0;
+ z=k+ck;
+ if((z<0)||(z>=nz)) {
+ z=(z+nz)%nz;
+ bz=1;
+ }
+ if(!(ci|cj|ck)) continue;
+ if(bx|by|bz) {
+ cell[--count2]=lc->subcell[x+y*nx+z*a];
+ }
+ else {
+ cell[count1++]=lc->subcell[x+y*nx+z*a];
+ }
+ }
+ }
+ }
+
+ lc->dnlc=count2;
+ lc->countn=27;
+
+ return count2;
+}
+
+int link_cell_shutdown(t_moldyn *moldyn) {
+
+ int i;
+ t_linkcell *lc;
+
+ lc=&(moldyn->lc);
+
+ for(i=0;i<lc->nx*lc->ny*lc->nz;i++)
+ list_shutdown(&(moldyn->lc.subcell[i]));
+
+ return 0;
+}
+
+int moldyn_add_schedule(t_moldyn *moldyn,int runs,double tau) {
+
+ int count;
+ void *ptr;
+ t_moldyn_schedule *schedule;
+
+ schedule=&(moldyn->schedule);
+ count=++(schedule->content_count);
+
+ ptr=realloc(moldyn->schedule.runs,count*sizeof(int));
+ if(!ptr) {
+ perror("[moldyn] realloc (runs)");
+ return -1;
+ }
+ moldyn->schedule.runs=ptr;
+ moldyn->schedule.runs[count-1]=runs;
+
+ ptr=realloc(schedule->tau,count*sizeof(double));
+ if(!ptr) {
+ perror("[moldyn] realloc (tau)");
+ return -1;
+ }
+ moldyn->schedule.tau=ptr;
+ moldyn->schedule.tau[count-1]=tau;
+
+ return 0;
+}
+
+int moldyn_set_schedule_hook(t_moldyn *moldyn,void *hook,void *hook_params) {
+
+ moldyn->schedule.hook=hook;
+ moldyn->schedule.hook_params=hook_params;
+
+ return 0;
+}
+
+/*
+ *
+ * 'integration of newtons equation' - algorithms
+ *
+ */
+
+/* start the integration */
+
+int moldyn_integrate(t_moldyn *moldyn) {
+
+ int i,sched;
+ unsigned int e,m,s,v;
+ t_3dvec p;
+ t_moldyn_schedule *schedule;
+
+ int fd;
+ char fb[128];
+
+ schedule=&(moldyn->schedule);
+
+ /* initialize linked cell method */
+ link_cell_init(moldyn);
+
+ /* logging & visualization */
+ e=moldyn->ewrite;
+ m=moldyn->mwrite;
+ s=moldyn->swrite;
+ v=moldyn->vwrite;
+
+ /* 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);
+
+ /* zero absolute time */
+ moldyn->time=0.0;
+
+ for(sched=0;sched<moldyn->schedule.content_count;sched++) {
+
+ /* setting amount of runs and finite time step size */
+ moldyn->tau=schedule->tau[sched];
+ moldyn->tau_square=moldyn->tau*moldyn->tau;
+ moldyn->time_steps=schedule->runs[sched];
+
+ /* integration according to schedule */
+
+ for(i=0;i<moldyn->time_steps;i++) {
+
+ /* integration step */
+ moldyn->integrate(moldyn);
+
+ /* increase absolute time */
+ moldyn->time+=moldyn->tau;
+
+ /* check for log & visualization */
+ if(e) {
+ if(!(i%e))
+ dprintf(moldyn->efd,
+ "%.15f %.45f %.45f %.45f\n",
+ moldyn->time,update_e_kin(moldyn),
+ moldyn->energy,
+ get_total_energy(moldyn));
+ }
+ if(m) {
+ if(!(i%m)) {
+ p=get_total_p(moldyn);
+ dprintf(moldyn->mfd,
+ "%.15f %.45f\n",moldyn->time,
+ v3_norm(&p));
+ }
+ }
+ if(s) {
+ if(!(i%s)) {
+ snprintf(fb,128,"%s-%f-%.15f.save",moldyn->sfb,
+ moldyn->t,i*moldyn->tau);
+ fd=open(fb,O_WRONLY|O_TRUNC|O_CREAT);
+ if(fd<0) perror("[moldyn] save fd open");
+ else {
+ write(fd,moldyn,sizeof(t_moldyn));
+ write(fd,moldyn->atom,
+ moldyn->count*sizeof(t_atom));
+ }
+ close(fd);
+ }
+ }
+ if(v) {
+ if(!(i%v)) {
+ visual_atoms(&(moldyn->vis),moldyn->time,
+ moldyn->atom,moldyn->count);
+ printf("\rsched: %d, steps: %d",sched,i);
+ fflush(stdout);
+ }
+ }
+
+ }
+
+ /* check for hooks */
+ if(schedule->hook)
+ schedule->hook(moldyn,schedule->hook_params);
+
+ }
+
+ return 0;
+}
+
+/* velocity verlet */
+
+int velocity_verlet(t_moldyn *moldyn) {
+
+ int i,count;
+ double tau,tau_square;
+ t_3dvec delta;
+ t_atom *atom;
+
+ atom=moldyn->atom;
+ count=moldyn->count;
+ tau=moldyn->tau;
+ tau_square=moldyn->tau_square;
+
+ for(i=0;i<count;i++) {
+ /* new positions */
+ v3_scale(&delta,&(atom[i].v),tau);
+ v3_add(&(atom[i].r),&(atom[i].r),&delta);
+ v3_scale(&delta,&(atom[i].f),0.5*tau_square/atom[i].mass);
+ v3_add(&(atom[i].r),&(atom[i].r),&delta);
+ v3_per_bound(&(atom[i].r),&(moldyn->dim));
+
+ /* velocities */
+ v3_scale(&delta,&(atom[i].f),0.5*tau/atom[i].mass);
+ v3_add(&(atom[i].v),&(atom[i].v),&delta);
+ }
+
+ /* neighbour list update */
+ link_cell_update(moldyn);
+
+ /* forces depending on chosen potential */
+ potential_force_calc(moldyn);
+ //moldyn->potential_force_function(moldyn);
+
+ for(i=0;i<count;i++) {
+ /* again velocities */
+ v3_scale(&delta,&(atom[i].f),0.5*tau/atom[i].mass);
+ v3_add(&(atom[i].v),&(atom[i].v),&delta);
+ }
+
+ return 0;
+}
+
+
+/*
+ *
+ * potentials & corresponding forces
+ *
+ */
+
+/* generic potential and force calculation */
+
+int potential_force_calc(t_moldyn *moldyn) {
+
+ int i,j,k,count;
+ t_atom *atom,*btom,*ktom;
+ t_linkcell *lc;
+ t_list neighbour[27];
+ t_list *this,*thisk,*neighbourk;
+ u8 bc,bck;
+ int countn,dnlc;
+
+ count=moldyn->count;
+ atom=moldyn->atom;
+ lc=&(moldyn->lc);
+
+ /* reset energy */
+ moldyn->energy=0.0;
+
+ for(i=0;i<count;i++) {
+
+ /* reset force */
+ v3_zero(&(atom[i].f));
+
+ /* single particle potential/force */
+ if(atom[i].attr&ATOM_ATTR_1BP)
+ moldyn->func1b(moldyn,&(atom[i]));
+
+ /* 2 body pair potential/force */
+ if(atom[i].attr&(ATOM_ATTR_2BP|ATOM_ATTR_3BP)) {
+
+ link_cell_neighbour_index(moldyn,
+ (atom[i].r.x+moldyn->dim.x/2)/lc->x,
+ (atom[i].r.y+moldyn->dim.y/2)/lc->y,
+ (atom[i].r.z+moldyn->dim.z/2)/lc->z,
+ neighbour);
+
+ countn=lc->countn;
+ dnlc=lc->dnlc;
+
+ for(j=0;j<countn;j++) {
+
+ this=&(neighbour[j]);
+ list_reset(this);
+
+ if(this->start==NULL)
+ continue;
+
+ bc=(j<dnlc)?0:1;
+
+ do {
+ btom=this->current->data;
+
+ if(btom==&(atom[i]))
+ continue;
+
+ if((btom->attr&ATOM_ATTR_2BP)&
+ (atom[i].attr&ATOM_ATTR_2BP))
+ moldyn->func2b(moldyn,
+ &(atom[i]),
+ btom,
+ bc);
+
+ /* 3 body potential/force */
+
+ if(!(atom[i].attr&ATOM_ATTR_3BP)||
+ !(btom->attr&ATOM_ATTR_3BP))
+ continue;
+
+ link_cell_neighbour_index(moldyn,
+ (btom->r.x+moldyn->dim.x/2)/lc->x,
+ (btom->r.y+moldyn->dim.y/2)/lc->y,
+ (btom->r.z+moldyn->dim.z/2)/lc->z,
+ neighbourk);
+
+ for(k=0;k<lc->countn;k++) {
+
+ thisk=&(neighbourk[k]);
+ list_reset(thisk);
+
+ if(thisk->start==NULL)
+ continue;
+
+ bck=(k<lc->dnlc)?0:1;
+
+ do {
+
+ ktom=thisk->current->data;
+
+ if(!(ktom->attr&ATOM_ATTR_3BP))
+ continue;
+
+ if(ktom==btom)
+ continue;
+
+ if(ktom==&(atom[i]))
+ continue;
+
+ moldyn->func3b(moldyn,&(atom[i]),btom,ktom,bck);
+
+ } while(list_next(thisk)!=\
+ L_NO_NEXT_ELEMENT);
+
+ }
+
+ } while(list_next(this)!=L_NO_NEXT_ELEMENT);
+ }
+ }
+ }
+
+ return 0;
+}
+
+/*
+ * periodic boundayr checking
+ */
+
+int check_per_bound(t_moldyn *moldyn,t_3dvec *a) {
+
+ double x,y,z;
+ t_3dvec *dim;
+
+ dim=&(moldyn->dim);
+
+ x=0.5*dim->x;
+ y=0.5*dim->y;
+ z=0.5*dim->z;
+
+ if(moldyn->status&MOLDYN_STAT_PBX) {
+ if(a->x>=x) a->x-=dim->x;
+ else if(-a->x>x) a->x+=dim->x;
+ }
+ if(moldyn->status&MOLDYN_STAT_PBY) {
+ if(a->y>=y) a->y-=dim->y;
+ else if(-a->y>y) a->y+=dim->y;
+ }
+ if(moldyn->status&MOLDYN_STAT_PBZ) {
+ if(a->z>=z) a->z-=dim->z;
+ else if(-a->z>z) a->z+=dim->z;
+ }
+
+ return 0;
+}
+
+
+/*
+ * example potentials
+ */
+
+/* harmonic oscillator potential and force */
+
+int harmonic_oscillator(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
+
+ t_ho_params *params;
+ t_3dvec force,distance;
+ double d;
+ double sc,equi_dist;
+
+ params=moldyn->pot2b_params;
+ sc=params->spring_constant;
+ equi_dist=params->equilibrium_distance;
+
+ v3_sub(&distance,&(ai->r),&(aj->r));
+
+ v3_per_bound(&distance,&(moldyn->dim));
+ if(bc) check_per_bound(moldyn,&distance);
+ d=v3_norm(&distance);
+ if(d<=moldyn->cutoff) {
+ /* energy is 1/2 (d-d0)^2, but we will add this twice ... */
+ moldyn->energy+=(0.25*sc*(d-equi_dist)*(d-equi_dist));
+ v3_scale(&force,&distance,-sc*(1.0-(equi_dist/d)));
+ v3_add(&(ai->f),&(ai->f),&force);
+ }
+
+ return 0;
+}
+
+/* lennard jones potential & force for one sort of atoms */
+
+int lennard_jones(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
+
+ t_lj_params *params;
+ t_3dvec force,distance;
+ double d,h1,h2;
+ double eps,sig6,sig12;
+
+ params=moldyn->pot2b_params;
+ eps=params->epsilon4;
+ sig6=params->sigma6;
+ sig12=params->sigma12;
+
+ v3_sub(&distance,&(ai->r),&(aj->r));
+ if(bc) check_per_bound(moldyn,&distance);
+ d=v3_absolute_square(&distance); /* 1/r^2 */
+ if(d<=moldyn->cutoff_square) {
+ d=1.0/d; /* 1/r^2 */
+ h2=d*d; /* 1/r^4 */
+ h2*=d; /* 1/r^6 */
+ h1=h2*h2; /* 1/r^12 */
+ /* energy is eps*..., but we will add this twice ... */
+ moldyn->energy+=0.5*eps*(sig12*h1-sig6*h2);
+ h2*=d; /* 1/r^8 */
+ h1*=d; /* 1/r^14 */
+ h2*=6*sig6;
+ h1*=12*sig12;
+ d=+h1-h2;
+ d*=eps;
+ v3_scale(&force,&distance,d);
+ v3_add(&(ai->f),&(aj->f),&force);
+ }
+
+ return 0;
+}