*
*/
-#include "moldyn.h"
-
+#define _GNU_SOURCE
#include <stdio.h>
#include <stdlib.h>
+#include <string.h>
+#include <sys/types.h>
+#include <sys/stat.h>
+#include <fcntl.h>
+#include <unistd.h>
#include <math.h>
+#include "moldyn.h"
+
#include "math/math.h"
#include "init/init.h"
#include "random/random.h"
#include "visual/visual.h"
+#include "list/list.h"
+
+
+int moldyn_init(t_moldyn *moldyn,int argc,char **argv) {
+
+ //int ret;
+
+ //ret=moldyn_parse_argv(moldyn,argc,argv);
+ //if(ret<0) return ret;
+
+ memset(moldyn,0,sizeof(t_moldyn));
+
+ rand_init(&(moldyn->random),NULL,1);
+ moldyn->random.status|=RAND_STAT_VERBOSE;
+
+ return 0;
+}
+
+int moldyn_shutdown(t_moldyn *moldyn) {
+
+ printf("[moldyn] shutdown\n");
+ moldyn_log_shutdown(moldyn);
+ link_cell_shutdown(moldyn);
+ rand_close(&(moldyn->random));
+ free(moldyn->atom);
+
+ return 0;
+}
+
+int set_int_alg(t_moldyn *moldyn,u8 algo) {
+
+ switch(algo) {
+ case MOLDYN_INTEGRATE_VERLET:
+ moldyn->integrate=velocity_verlet;
+ break;
+ default:
+ printf("unknown integration algorithm: %02x\n",algo);
+ return -1;
+ }
+
+ return 0;
+}
+
+int set_cutoff(t_moldyn *moldyn,double cutoff) {
+
+ moldyn->cutoff=cutoff;
+
+ return 0;
+}
+
+int set_temperature(t_moldyn *moldyn,double t_ref) {
+
+ moldyn->t_ref=t_ref;
+
+ return 0;
+}
+
+int set_pt_scale(t_moldyn *moldyn,u8 ptype,double ptc,u8 ttype,double ttc) {
+
+ moldyn->pt_scale=(ptype|ttype);
+ moldyn->t_tc=ttc;
+ moldyn->p_tc=ptc;
+
+ return 0;
+}
+
+int set_dim(t_moldyn *moldyn,double x,double y,double z,u8 visualize) {
+
+ moldyn->dim.x=x;
+ moldyn->dim.y=y;
+ moldyn->dim.z=z;
+
+ if(visualize) {
+ moldyn->vis.dim.x=x;
+ moldyn->vis.dim.y=y;
+ moldyn->vis.dim.z=z;
+ }
+
+ return 0;
+}
+
+int set_nn_dist(t_moldyn *moldyn,double dist) {
+ moldyn->nnd=dist;
-int create_lattice(unsigned char type,int element,double mass,double lc,
- int a,int b,int c,t_atom **atom) {
+ return 0;
+}
+
+int set_pbc(t_moldyn *moldyn,u8 x,u8 y,u8 z) {
+
+ if(x)
+ moldyn->status|=MOLDYN_STAT_PBX;
+
+ if(y)
+ moldyn->status|=MOLDYN_STAT_PBY;
+
+ if(z)
+ moldyn->status|=MOLDYN_STAT_PBZ;
+
+ return 0;
+}
+
+int set_potential1b(t_moldyn *moldyn,pf_func1b func,void *params) {
+
+ moldyn->func1b=func;
+ moldyn->pot1b_params=params;
+
+ return 0;
+}
+
+int set_potential2b(t_moldyn *moldyn,pf_func2b func,void *params) {
+
+ moldyn->func2b=func;
+ moldyn->pot2b_params=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;
+ moldyn->pot3b_params=params;
+
+ return 0;
+}
+
+int moldyn_set_log(t_moldyn *moldyn,u8 type,char *fb,int timer) {
+
+ switch(type) {
+ case LOG_TOTAL_ENERGY:
+ moldyn->ewrite=timer;
+ moldyn->efd=open(fb,O_WRONLY|O_CREAT|O_TRUNC);
+ if(moldyn->efd<0) {
+ perror("[moldyn] efd open");
+ return moldyn->efd;
+ }
+ dprintf(moldyn->efd,"# total energy log file\n");
+ break;
+ case LOG_TOTAL_MOMENTUM:
+ moldyn->mwrite=timer;
+ moldyn->mfd=open(fb,O_WRONLY|O_CREAT|O_TRUNC);
+ if(moldyn->mfd<0) {
+ perror("[moldyn] mfd open");
+ return moldyn->mfd;
+ }
+ dprintf(moldyn->efd,"# total momentum log file\n");
+ break;
+ case SAVE_STEP:
+ moldyn->swrite=timer;
+ strncpy(moldyn->sfb,fb,63);
+ break;
+ case VISUAL_STEP:
+ moldyn->vwrite=timer;
+ strncpy(moldyn->vfb,fb,63);
+ visual_init(&(moldyn->vis),fb);
+ break;
+ default:
+ printf("unknown log mechanism: %02x\n",type);
+ return -1;
+ }
+
+ return 0;
+}
+
+int moldyn_log_shutdown(t_moldyn *moldyn) {
+
+ printf("[moldyn] log shutdown\n");
+ if(moldyn->efd) close(moldyn->efd);
+ if(moldyn->mfd) close(moldyn->mfd);
+ if(&(moldyn->vis)) visual_tini(&(moldyn->vis));
+
+ return 0;
+}
+
+int create_lattice(t_moldyn *moldyn,u8 type,double lc,int element,double mass,
+ u8 attr,u8 bnum,int a,int b,int c) {
int count;
int ret;
count=a*b*c;
if(type==FCC) count*=4;
+
if(type==DIAMOND) count*=8;
- *atom=malloc(count*sizeof(t_atom));
- if(*atom==NULL) {
+ moldyn->atom=malloc(count*sizeof(t_atom));
+ if(moldyn->atom==NULL) {
perror("malloc (atoms)");
return -1;
}
switch(type) {
case FCC:
- ret=fcc_init(a,b,c,lc,*atom,&origin);
+ ret=fcc_init(a,b,c,lc,moldyn->atom,&origin);
break;
case DIAMOND:
- ret=diamond_init(a,b,c,lc,*atom,&origin);
+ ret=diamond_init(a,b,c,lc,moldyn->atom,&origin);
break;
default:
printf("unknown lattice type (%02x)\n",type);
return -1;
}
+ moldyn->count=count;
+ printf("[moldyn] created lattice with %d atoms\n",count);
+
while(count) {
- (*atom)[count-1].element=element;
- (*atom)[count-1].mass=mass;
count-=1;
+ moldyn->atom[count].element=element;
+ moldyn->atom[count].mass=mass;
+ moldyn->atom[count].attr=attr;
+ moldyn->atom[count].bnum=bnum;
+ check_per_bound(moldyn,&(moldyn->atom[count].r));
}
+
return ret;
}
-int destroy_lattice(t_atom *atom) {
+int add_atom(t_moldyn *moldyn,int element,double mass,u8 bnum,u8 attr,
+ t_3dvec *r,t_3dvec *v) {
- if(atom) free(atom);
+ t_atom *atom;
+ void *ptr;
+ int count;
+
+ atom=moldyn->atom;
+ count=++(moldyn->count);
+
+ ptr=realloc(atom,count*sizeof(t_atom));
+ if(!ptr) {
+ perror("[moldyn] realloc (add atom)");
+ return -1;
+ }
+ moldyn->atom=ptr;
+
+ atom=moldyn->atom;
+ atom[count-1].r=*r;
+ atom[count-1].v=*v;
+ atom[count-1].element=element;
+ atom[count-1].mass=mass;
+ atom[count-1].bnum=bnum;
+ atom[count-1].attr=attr;
return 0;
}
-int thermal_init(t_atom *atom,t_random *random,int count,double t) {
+int destroy_atoms(t_moldyn *moldyn) {
+
+ if(moldyn->atom) free(moldyn->atom);
+
+ return 0;
+}
+
+int thermal_init(t_moldyn *moldyn,u8 equi_init) {
/*
* - gaussian distribution of velocities
int i;
double v,sigma;
t_3dvec p_total,delta;
+ t_atom *atom;
+ t_random *random;
+
+ atom=moldyn->atom;
+ random=&(moldyn->random);
/* gaussian distribution of velocities */
v3_zero(&p_total);
- for(i=0;i<count;i++) {
- sigma=sqrt(2.0*K_BOLTZMANN*t/atom[i].mass);
+ for(i=0;i<moldyn->count;i++) {
+ sigma=sqrt(2.0*K_BOLTZMANN*moldyn->t_ref/atom[i].mass);
/* x direction */
v=sigma*rand_get_gauss(random);
atom[i].v.x=v;
}
/* zero total momentum */
- v3_scale(&p_total,&p_total,1.0/count);
- for(i=0;i<count;i++) {
+ v3_scale(&p_total,&p_total,1.0/moldyn->count);
+ for(i=0;i<moldyn->count;i++) {
v3_scale(&delta,&p_total,1.0/atom[i].mass);
v3_sub(&(atom[i].v),&(atom[i].v),&delta);
}
/* velocity scaling */
- scale_velocity(atom,count,t);
+ scale_velocity(moldyn,equi_init);
return 0;
}
-int scale_velocity(t_atom *atom,int count,double t) {
+int scale_velocity(t_moldyn *moldyn,u8 equi_init) {
int i;
- double e,c;
+ double e,scale;
+ t_atom *atom;
+ int count;
+
+ atom=moldyn->atom;
/*
* - velocity scaling (E = 3/2 N k T), E: kinetic energy
*/
+
+ /* get kinetic energy / temperature & count involved atoms */
e=0.0;
- for(i=0;i<count;i++)
- e+=0.5*atom[i].mass*v3_absolute_square(&(atom[i].v));
- c=sqrt((2.0*e)/(3.0*count*K_BOLTZMANN*t));
- for(i=0;i<count;i++)
- v3_scale(&(atom[i].v),&(atom[i].v),(1.0/c));
+ count=0;
+ for(i=0;i<moldyn->count;i++) {
+ if((equi_init&TRUE)||(atom[i].attr&ATOM_ATTR_HB)) {
+ e+=0.5*atom[i].mass*v3_absolute_square(&(atom[i].v));
+ count+=1;
+ }
+ }
+ if(count!=0) moldyn->t=(2.0*e)/(3.0*count*K_BOLTZMANN);
+ else return 0; /* no atoms involved in scaling! */
+
+ /* (temporary) hack for e,t = 0 */
+ if(e==0.0) {
+ moldyn->t=0.0;
+ if(moldyn->t_ref!=0.0)
+ thermal_init(moldyn,equi_init);
+ else
+ return 0; /* no scaling needed */
+ }
+
+
+ /* get scaling factor */
+ scale=moldyn->t_ref/moldyn->t;
+ if(equi_init&TRUE)
+ scale*=2.0;
+ else
+ if(moldyn->pt_scale&T_SCALE_BERENDSEN)
+ scale=1.0+moldyn->tau*(scale-1.0)/moldyn->t_tc;
+ scale=sqrt(scale);
+
+ /* velocity scaling */
+ for(i=0;i<moldyn->count;i++)
+ if((equi_init&TRUE)||(atom[i].attr&ATOM_ATTR_HB))
+ v3_scale(&(atom[i].v),&(atom[i].v),scale);
return 0;
}
-double get_e_kin(t_atom *atom,int count) {
+double get_e_kin(t_moldyn *moldyn) {
int i;
- double e;
+ t_atom *atom;
- e=0.0;
+ atom=moldyn->atom;
+ moldyn->ekin=0.0;
- for(i=0;i<count;i++) {
- e+=0.5*atom[i].mass*v3_absolute_square(&(atom[i].v));
- }
+ for(i=0;i<moldyn->count;i++)
+ moldyn->ekin+=0.5*atom[i].mass*v3_absolute_square(&(atom[i].v));
- return e;
+ return moldyn->ekin;
}
double get_e_pot(t_moldyn *moldyn) {
- return(moldyn->potential(moldyn));
+ return moldyn->energy;
}
-double get_total_energy(t_moldyn *moldyn) {
+double update_e_kin(t_moldyn *moldyn) {
- double e;
+ return(get_e_kin(moldyn));
+}
- e=get_e_kin(moldyn->atom,moldyn->count);
- e+=get_e_pot(moldyn);
+double get_total_energy(t_moldyn *moldyn) {
- return e;
+ return(moldyn->ekin+moldyn->energy);
}
-t_3dvec get_total_p(t_atom *atom, int count) {
+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<count;i++) {
+ 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 estimate_time_step(t_moldyn *moldyn,double nn_dist) {
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);
+ /* nn_dist is the nearest neighbour distance */
+
+ if(moldyn->t==5.0) {
+ printf("[moldyn] i do not estimate timesteps below %f K!\n",
+ MOLDYN_CRITICAL_EST_TEMP);
+ return 23.42;
+ }
+
+ tau=(0.05*nn_dist*moldyn->atom[0].mass)/sqrt(3.0*K_BOLTZMANN*moldyn->t);
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=count1;
+
+ return count1;
+}
+
+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;
+}
/*
*
int moldyn_integrate(t_moldyn *moldyn) {
- int i;
- int write;
+ int i,sched;
+ unsigned int e,m,s,v;
+ t_3dvec p;
+ t_moldyn_schedule *schedule;
+ t_atom *atom;
+ int fd;
+ char fb[128];
+ double ds;
+
+ schedule=&(moldyn->schedule);
+ atom=moldyn->atom;
+
+ /* initialize linked cell method */
+ link_cell_init(moldyn);
+
+ /* logging & visualization */
+ e=moldyn->ewrite;
+ m=moldyn->mwrite;
+ s=moldyn->swrite;
+ v=moldyn->vwrite;
- write=moldyn->write;
+ /* sqaure of some variables */
+ moldyn->tau_square=moldyn->tau*moldyn->tau;
+ moldyn->cutoff_square=moldyn->cutoff*moldyn->cutoff;
/* calculate initial forces */
- moldyn->force(moldyn);
+ potential_force_calc(moldyn);
+
+ /* 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)
+ printf("[moldyn] warning: cutoff > 0.5 x dim.y\n");
+ if(moldyn->cutoff>0.5*moldyn->dim.z)
+ printf("[moldyn] warning: cutoff > 0.5 x dim.z\n");
+ ds=0.5*atom[0].f.x*moldyn->tau_square/atom[0].mass;
+ if(ds>0.05*moldyn->nnd)
+ printf("[moldyn] warning: forces too high / tau too small!\n");
+
+ /* 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 */
+ 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);
- /* check for visualiziation */
- if(!(i%write)) {
- visual_atoms(moldyn->visual,i*moldyn->tau,
- moldyn->atom,moldyn->count);
- printf("finished %d / %d\n",i,moldyn->time_steps);
+ /* p/t scaling */
+ if(moldyn->pt_scale&(T_SCALE_BERENDSEN|T_SCALE_DIRECT))
+ scale_velocity(moldyn,FALSE);
+
+ /* 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, theta: %d",
+ sched,i,moldyn->debug);
+ fflush(stdout);
+ }
+ }
+
+ }
+
+ /* check for hooks */
+ if(schedule->hook)
+ schedule->hook(moldyn,schedule->hook_params);
+
+ /* get a new info line */
+ printf("\n");
+
}
return 0;
atom=moldyn->atom;
count=moldyn->count;
tau=moldyn->tau;
-
- tau_square=tau*tau;
+ tau_square=moldyn->tau_square;
for(i=0;i<count;i++) {
/* new positions */
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));
+ check_per_bound(moldyn,&(atom[i].r));
/* 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 */
- moldyn->force(moldyn);
+ potential_force_calc(moldyn);
for(i=0;i<count;i++) {
/* again velocities */
*
*/
-/* harmonic oscillator potential and force */
+/* generic potential and force calculation */
-double potential_harmonic_oscillator(t_moldyn *moldyn) {
+int potential_force_calc(t_moldyn *moldyn) {
- t_ho_params *params;
- t_atom *atom;
- int i,j;
- int count;
- t_3dvec distance;
- double d,u;
- double sc,equi_dist;
+ int i,j,k,count;
+ t_atom *itom,*jtom,*ktom;
+ t_linkcell *lc;
+ t_list neighbour_i[27];
+ t_list neighbour_i2[27];
+ //t_list neighbour_j[27];
+ t_list *this,*that;
+ u8 bc_ij,bc_ik;
+ int dnlc;
- params=moldyn->pot_params;
- atom=moldyn->atom;
- sc=params->spring_constant;
- equi_dist=params->equilibrium_distance;
count=moldyn->count;
+ itom=moldyn->atom;
+ lc=&(moldyn->lc);
- u=0.0;
+ /* reset energy */
+ moldyn->energy=0.0;
+
+ /* get energy and force of every atom */
for(i=0;i<count;i++) {
- for(j=0;j<i;j++) {
- v3_sub(&distance,&(atom[i].r),&(atom[j].r));
- d=v3_norm(&distance);
- u+=(0.5*sc*(d-equi_dist)*(d-equi_dist));
+
+ /* reset force */
+ v3_zero(&(itom[i].f));
+
+ /* single particle potential/force */
+ if(itom[i].attr&ATOM_ATTR_1BP)
+ moldyn->func1b(moldyn,&(itom[i]));
+
+ /* 2 body pair potential/force */
+ if(itom[i].attr&(ATOM_ATTR_2BP|ATOM_ATTR_3BP)) {
+
+ link_cell_neighbour_index(moldyn,
+ (itom[i].r.x+moldyn->dim.x/2)/lc->x,
+ (itom[i].r.y+moldyn->dim.y/2)/lc->y,
+ (itom[i].r.z+moldyn->dim.z/2)/lc->z,
+ neighbour_i);
+
+ dnlc=lc->dnlc;
+
+ for(j=0;j<27;j++) {
+
+ this=&(neighbour_i[j]);
+ list_reset(this);
+
+ if(this->start==NULL)
+ continue;
+
+ bc_ij=(j<dnlc)?0:1;
+
+ do {
+ jtom=this->current->data;
+
+ if(jtom==&(itom[i]))
+ continue;
+
+ if((jtom->attr&ATOM_ATTR_2BP)&
+ (itom[i].attr&ATOM_ATTR_2BP))
+ moldyn->func2b(moldyn,
+ &(itom[i]),
+ jtom,
+ bc_ij);
+
+ /* 3 body potential/force */
+
+ if(!(itom[i].attr&ATOM_ATTR_3BP)||
+ !(jtom->attr&ATOM_ATTR_3BP))
+ continue;
+
+ /* copy the neighbour lists */
+ memcpy(neighbour_i2,neighbour_i,
+ 27*sizeof(t_list));
+
+ /* get neighbours of i */
+ for(k=0;k<27;k++) {
+
+ that=&(neighbour_i2[k]);
+ list_reset(that);
+
+ if(that->start==NULL)
+ continue;
+
+ bc_ik=(k<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_ik|bc_ij);
+
+ } while(list_next(that)!=\
+ L_NO_NEXT_ELEMENT);
+
+ }
+
+ } while(list_next(this)!=L_NO_NEXT_ELEMENT);
+
+ /* 2bp post function */
+ if(moldyn->func2b_post) {
+printf("DEBUG: vor 2bp post\n");
+ moldyn->func2b_post(moldyn,
+ &(itom[i]),
+ jtom,bc_ij);
+printf("DEBUG: nach 2bp post\n");
+ }
+
+ }
}
}
- return u;
+ 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 force_harmonic_oscillator(t_moldyn *moldyn) {
+int harmonic_oscillator(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
t_ho_params *params;
- int i,j,count;
- t_atom *atom;
- t_3dvec distance;
- t_3dvec force;
+ t_3dvec force,distance;
double d;
double sc,equi_dist;
- atom=moldyn->atom;
- count=moldyn->count;
- params=moldyn->pot_params;
+ params=moldyn->pot2b_params;
sc=params->spring_constant;
equi_dist=params->equilibrium_distance;
- for(i=0;i<count;i++) v3_zero(&(atom[i].f));
-
- for(i=0;i<count;i++) {
- for(j=0;j<i;j++) {
- v3_sub(&distance,&(atom[i].r),&(atom[j].r));
- v3_per_bound(&distance,&(moldyn->dim));
- d=v3_norm(&distance);
- if(d<=moldyn->cutoff) {
- v3_scale(&force,&distance,
- (-sc*(1.0-(equi_dist/d))));
- v3_add(&(atom[i].f),&(atom[i].f),&force);
- v3_sub(&(atom[j].f),&(atom[j].f),&force);
- }
- }
+ v3_sub(&distance,&(aj->r),&(ai->r));
+
+ 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));
+ /* f = -grad E; grad r_ij = -1 1/r_ij distance */
+ 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 */
-double potential_lennard_jones(t_moldyn *moldyn) {
+int lennard_jones(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
t_lj_params *params;
- t_atom *atom;
- int i,j;
- int count;
- t_3dvec distance;
- double d,help;
- double u;
+ t_3dvec force,distance;
+ double d,h1,h2;
double eps,sig6,sig12;
- params=moldyn->pot_params;
- atom=moldyn->atom;
- count=moldyn->count;
- eps=params->epsilon;
+ params=moldyn->pot2b_params;
+ eps=params->epsilon4;
sig6=params->sigma6;
sig12=params->sigma12;
- u=0.0;
- for(i=0;i<count;i++) {
- for(j=0;j<i;j++) {
- v3_sub(&distance,&(atom[j].r),&(atom[i].r));
- d=1.0/v3_absolute_square(&distance); /* 1/r^2 */
- help=d*d; /* 1/r^4 */
- help*=d; /* 1/r^6 */
- d=help*help; /* 1/r^12 */
- u+=eps*(sig12*d-sig6*help);
- }
+ v3_sub(&distance,&(aj->r),&(ai->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,-1.0*d); /* f = - grad E */
+ v3_add(&(ai->f),&(ai->f),&force);
}
+
+ return 0;
+}
+
+/*
+ * tersoff potential & force for 2 sorts of atoms
+ */
+
+/* create mixed terms from parameters and set them */
+int tersoff_mult_complete_params(t_tersoff_mult_params *p) {
+
+ printf("[moldyn] tersoff parameter completion\n");
+ p->Smixed=sqrt(p->S[0]*p->S[1]);
+ p->Rmixed=sqrt(p->R[0]*p->R[1]);
+ p->Amixed=sqrt(p->A[0]*p->A[1]);
+ p->Bmixed=sqrt(p->B[0]*p->B[1]);
+ 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;
+}
+
+/* tersoff 1 body part */
+int tersoff_mult_1bp(t_moldyn *moldyn,t_atom *ai) {
+
+ int num;
+ t_tersoff_mult_params *params;
+ t_tersoff_exchange *exchange;
- return u;
+ num=ai->bnum;
+ params=moldyn->pot1b_params;
+ exchange=&(params->exchange);
+
+ /*
+ * simple: point constant parameters only depending on atom i to
+ * their right values
+ */
+
+ exchange->beta_i=&(params->beta[num]);
+ exchange->n_i=&(params->n[num]);
+ exchange->c_i=&(params->c[num]);
+ exchange->d_i=&(params->d[num]);
+ exchange->h_i=&(params->h[num]);
+
+ exchange->betaini=pow(*(exchange->beta_i),*(exchange->n_i));
+ exchange->ci2=params->c[num]*params->c[num];
+ exchange->di2=params->d[num]*params->d[num];
+ exchange->ci2di2=exchange->ci2/exchange->di2;
+
+ return 0;
}
+
+/* tersoff 2 body part */
+int tersoff_mult_2bp(t_moldyn *moldyn,t_atom *ai,t_atom *aj,u8 bc) {
+
+ t_tersoff_mult_params *params;
+ t_tersoff_exchange *exchange;
+ t_3dvec dist_ij,force;
+ double d_ij;
+ double A,B,R,S,lambda,mu;
+ double f_r,df_r;
+ double f_c,df_c;
+ int num;
+ double s_r;
+ double arg;
+
+ params=moldyn->pot2b_params;
+ num=aj->bnum;
+ exchange=&(params->exchange);
+
+ /* clear 3bp and 2bp post run */
+ exchange->run3bp=0;
+ exchange->run2bp_post=0;
+
+ /*
+ * calc of 2bp contribution of V_ij and dV_ij/ji
+ *
+ * for Vij and dV_ij we need:
+ * - f_c_ij, df_c_ij
+ * - f_r_ij, df_r_ij
+ *
+ * for dV_ji we need:
+ * - f_c_ji = f_c_ij, df_c_ji = df_c_ij
+ * - f_r_ji = f_r_ij; df_r_ji = df_r_ij
+ *
+ */
-int force_lennard_jones(t_moldyn *moldyn) {
+ /* dist_ij, d_ij */
+ v3_sub(&dist_ij,&(aj->r),&(ai->r));
+ if(bc) check_per_bound(moldyn,&dist_ij);
+ d_ij=v3_norm(&dist_ij);
+
+ /* save for use in 3bp */
+ exchange->d_ij=d_ij;
+ exchange->dist_ij=dist_ij;
+
+ /* constants */
+ if(num==ai->bnum) {
+ S=params->S[num];
+ R=params->R[num];
+ A=params->A[num];
+ B=params->B[num];
+ lambda=params->lambda[num];
+ mu=params->mu[num];
+ exchange->chi=1.0;
+ }
+ else {
+ S=params->Smixed;
+ R=params->Rmixed;
+ A=params->Amixed;
+ B=params->Bmixed;
+ lambda=params->lambda_m;
+ mu=params->mu_m;
+ params->exchange.chi=params->chi;
+ }
- t_lj_params *params;
- int i,j,count;
- t_atom *atom;
- t_3dvec distance;
- t_3dvec force;
- double d,h1,h2;
- double eps,sig6,sig12;
+ /* if d_ij > S => no force & potential energy contribution */
+ if(d_ij>S)
+ return 0;
+
+ /* more constants */
+ exchange->beta_j=&(params->beta[num]);
+ exchange->n_j=&(params->n[num]);
+ exchange->c_j=&(params->c[num]);
+ exchange->d_j=&(params->d[num]);
+ exchange->h_j=&(params->h[num]);
+ if(num==ai->bnum) {
+ exchange->betajnj=exchange->betaini;
+ exchange->cj2=exchange->ci2;
+ exchange->dj2=exchange->di2;
+ exchange->cj2dj2=exchange->ci2di2;
+ }
+ else {
+ exchange->betajnj=pow(*(exchange->beta_j),*(exchange->n_j));
+ exchange->cj2=params->c[num]*params->c[num];
+ exchange->dj2=params->d[num]*params->d[num];
+ exchange->cj2dj2=exchange->cj2/exchange->dj2;
+ }
- atom=moldyn->atom;
- count=moldyn->count;
- params=moldyn->pot_params;
- eps=params->epsilon;
- sig6=params->sigma6;
- sig12=params->sigma12;
+ /* f_r_ij = f_r_ji, df_r_ij = df_r_ji */
+ f_r=A*exp(-lambda*d_ij);
+ df_r=-lambda*f_r/d_ij;
+
+ /* f_a, df_a calc (again, same for ij and ji) | save for later use! */
+ exchange->f_a=-B*exp(-mu*d_ij);
+ exchange->df_a=-mu*exchange->f_a/d_ij;
+
+ /* f_c, df_c calc (again, same for ij and ji) */
+ if(d_ij<R) {
+ /* f_c = 1, df_c = 0 */
+ f_c=1.0;
+ df_c=0.0;
+ /* two body contribution (ij, ji) */
+ v3_scale(&force,&dist_ij,-df_r);
+ }
+ else {
+ s_r=S-R;
+ arg=M_PI*(d_ij-R)/s_r;
+ f_c=0.5+0.5*cos(arg);
+ df_c=-0.5*sin(arg)*(M_PI/(s_r*d_ij));
+ /* two body contribution (ij, ji) */
+ v3_scale(&force,&dist_ij,-df_c*f_r-df_r*f_c);
+ }
- for(i=0;i<count;i++) v3_zero(&(atom[i].f));
+ /* add forces of 2bp (ij, ji) contribution
+ * dVij = dVji and we sum up both: no 1/2) */
+ v3_add(&(ai->f),&(ai->f),&force);
- for(i=0;i<count;i++) {
- for(j=0;j<i;j++) {
- v3_sub(&distance,&(atom[j].r),&(atom[i].r));
- v3_per_bound(&distance,&(moldyn->dim));
- d=v3_absolute_square(&distance);
- if(d<=moldyn->cutoff_square) {
- h1=1.0/d; /* 1/r^2 */
- d=h1*h1; /* 1/r^4 */
- h2=d*d; /* 1/r^8 */
- h1*=d; /* 1/r^6 */
- h1*=h2; /* 1/r^14 */
- h1*=sig12;
- h2*=sig6;
- d=12.0*h1-6.0*h2;
- d*=eps;
- v3_scale(&force,&distance,d);
- v3_add(&(atom[j].f),&(atom[j].f),&force);
- v3_sub(&(atom[i].f),&(atom[i].f),&force);
- }
+ /* energy 2bp contribution (ij, ji) is 0.5 f_r f_c ... */
+ moldyn->energy+=(0.5*f_r*f_c);
+
+ /* save for use in 3bp */
+ exchange->f_c=f_c;
+ exchange->df_c=df_c;
+
+ /* enable the run of 3bp function and 2bp post processing */
+ exchange->run3bp=1;
+ exchange->run2bp_post=1;
+
+ /* reset 3bp sums */
+ exchange->zeta_ij=0.0;
+ exchange->zeta_ji=0.0;
+ v3_zero(&(exchange->dzeta_ij));
+ v3_zero(&(exchange->dzeta_ji));
+
+ 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
+ *
+ * that is:
+ * - zeta_ij, dzeta_ij
+ * - zeta_ji, dzeta_ji
+ *
+ * to compute the 3bp contribution to:
+ * - Vij, dVij
+ * - dVji
+ *
+ */
+
+ t_tersoff_mult_params *params;
+ t_tersoff_exchange *exchange;
+
+ t_3dvec force,temp;
+ t_3dvec *dist_ij;
+ double b,db,tmp;
+ double f_c,df_c,f_a,df_a;
+ double chi,ni,betaini,nj,betajnj;
+ 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;
+
+ f_c=exchange->f_c;
+ df_c=exchange->df_c;
+ f_a=exchange->f_a;
+ df_a=exchange->df_a;
+ betaini=exchange->betaini;
+ betajnj=exchange->betajnj;
+ ni=*(exchange->n_i);
+ nj=*(exchange->n_j);
+ chi=exchange->chi;
+ dist_ij=&(exchange->dist_ij);
+
+ /* Vij and dVij */
+ zeta=exchange->zeta_ij;
+ tmp=betaini*pow(zeta,ni-1.0); /* beta^n * zeta^n-1 */
+ b=(1+zeta*tmp); /* 1 + beta^n * zeta^n */
+ db=chi*pow(b,-1.0/(2*ni)-1); /* chi * (...)^(-1/2n - 1) */
+ b=db*b; /* b_ij */
+ db*=-0.5*tmp; /* db_ij */
+ v3_scale(&force,&(exchange->dzeta_ij),f_a*db);
+ v3_scale(&temp,dist_ij,df_a*b);
+ v3_add(&force,&force,&temp);
+ v3_scale(&force,&force,f_c);
+ v3_scale(&temp,dist_ij,df_c*b*f_a);
+ v3_add(&force,&force,&temp);
+
+ /* add energy of 3bp sum */
+ moldyn->energy+=(0.5*f_c*b*f_a);
+
+ /* add force (sub, as F = - dVij) */
+ v3_sub(&(ai->f),&(ai->f),&force);
+
+ /* dVji */
+ zeta=exchange->zeta_ji;
+ tmp=betajnj*pow(zeta,nj-1.0); /* beta^n * zeta^n-1 */
+ b=(1+zeta*tmp); /* 1 + beta^n * zeta^n */
+ db=chi*pow(b,-1.0/(2*nj)-1); /* chi * (...)^(-1/2n - 1) */
+ b=db*b; /* b_ij */
+ db*=-0.5*tmp; /* db_ij */
+ v3_scale(&force,&(exchange->dzeta_ji),f_a*db);
+ v3_scale(&temp,dist_ij,df_a*b);
+ v3_add(&force,&force,&temp);
+ v3_scale(&force,&force,f_c);
+ v3_scale(&temp,dist_ij,df_c*b*f_a);
+ v3_add(&force,&force,&temp);
+
+ /* add force (sub, as F = - dVji) */
+ v3_sub(&(ai->f),&(ai->f),&force);
+
+ return 0;
+}
+
+/* tersoff 3 body part */
+
+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 temp1,temp2;
+ t_3dvec *dzeta;
+ double R,S,s_r;
+ double B,mu;
+ double d_ij,d_ik,d_jk;
+ double rr,dd;
+ double f_c,df_c;
+ double f_c_ik,df_c_ik,arg;
+ double f_c_jk;
+ double n,c,d,h;
+ double c2,d2,c2d2;
+ double cos_theta,d_costheta1,d_costheta2;
+ double h_cos,d2_h_cos2;
+ double frac,g,zeta,chi;
+ double tmp;
+ int num;
+
+ params=moldyn->pot3b_params;
+ exchange=&(params->exchange);
+
+ if(!(exchange->run3bp))
+ return 0;
+
+ /*
+ * calc of 3bp contribution of V_ij and dV_ij/ji/jk &
+ * 2bp contribution of dV_jk
+ *
+ * for Vij and dV_ij we still need:
+ * - b_ij, db_ij (zeta_ij)
+ * - f_c_ik, df_c_ik, constants_i, cos_theta_ijk, d_costheta_ijk
+ *
+ * for dV_ji we still need:
+ * - b_ji, db_ji (zeta_ji)
+ * - f_c_jk, d_c_jk, constants_j, cos_theta_jik, d_costheta_jik
+ *
+ * for dV_jk we need:
+ * - f_c_jk
+ * - f_a_jk
+ * - db_jk (zeta_jk)
+ * - f_c_ji, df_c_ji, constants_j, cos_theta_jki, d_costheta_jki
+ *
+ */
+
+ /*
+ * get exchange data
+ */
+
+ /* dist_ij, d_ij - this is < S_ij ! */
+ dist_ij=exchange->dist_ij;
+ d_ij=exchange->d_ij;
+
+ /* f_c_ij, df_c_ij (same for ji) */
+ f_c=exchange->f_c;
+ df_c=exchange->df_c;
+
+ /*
+ * calculate unknown values now ...
+ */
+
+ /* V_ij and dV_ij stuff (in b_ij there is f_c_ik) */
+
+ /* dist_ik, d_ik */
+ v3_sub(&dist_ik,&(ak->r),&(ai->r));
+ if(bc) check_per_bound(moldyn,&dist_ik);
+ d_ik=v3_norm(&dist_ik);
+
+ /* ik constants */
+ num=ai->bnum;
+ if(num==ak->bnum) {
+ R=params->R[num];
+ S=params->S[num];
+ }
+ else {
+ R=params->Rmixed;
+ S=params->Smixed;
+ }
+
+ /* zeta_ij/dzeta_ij contribution only for d_ik < S */
+ if(d_ik<S) {
+
+ /* get constants_i from exchange data */
+ n=*(exchange->n_i);
+ c=*(exchange->c_i);
+ d=*(exchange->d_i);
+ h=*(exchange->h_i);
+ c2=exchange->ci2;
+ d2=exchange->di2;
+ c2d2=exchange->ci2di2;
+
+ /* cosine of theta_ijk by scalaproduct */
+ rr=v3_scalar_product(&dist_ij,&dist_ik);
+ dd=d_ij*d_ik;
+ cos_theta=rr/dd;
+
+ /* d_costheta */
+ tmp=1.0/dd;
+ d_costheta1=cos_theta/(d_ij*d_ij)-tmp;
+ d_costheta2=cos_theta/(d_ik*d_ik)-tmp;
+
+ /* some usefull values */
+ h_cos=(h-cos_theta);
+ d2_h_cos2=d2+(h_cos*h_cos);
+ frac=c2/(d2_h_cos2);
+
+ /* g(cos_theta) */
+ g=1.0+c2d2-frac;
+
+ /* d_costheta_ij and dg(cos_theta) - needed in any case! */
+ v3_scale(&temp1,&dist_ij,d_costheta1);
+ v3_scale(&temp2,&dist_ik,d_costheta2);
+ v3_add(&temp1,&temp1,&temp2);
+ v3_scale(&temp1,&temp1,-2.0*frac*h_cos/d2_h_cos2); /* dg */
+
+ /* f_c_ik & df_c_ik + {d,}zeta contribution */
+ dzeta=&(exchange->dzeta_ij);
+ if(d_ik<R) {
+ /* {d,}f_c_ik */
+ // => f_c_ik=1.0;
+ // => df_c_ik=0.0; of course we do not set this!
+
+ /* zeta_ij */
+ exchange->zeta_ij+=g;
+
+ /* dzeta_ij */
+ v3_add(dzeta,dzeta,&temp1);
+ }
+ else {
+ /* {d,}f_c_ik */
+ 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));
+
+ /* zeta_ij */
+ exchange->zeta_ij+=f_c_ik*g;
+
+ /* dzeta_ij */
+ v3_scale(&temp1,&temp1,f_c_ik);
+ v3_scale(&temp2,&dist_ik,g*df_c_ik);
+ v3_add(&temp1,&temp1,&temp2);
+ v3_add(dzeta,dzeta,&temp1);
+ }
+ }
+
+ /* dV_ji stuff (in b_ji there is f_c_jk) + dV_jk stuff! */
+
+ /* dist_jk, d_jk */
+ v3_sub(&dist_jk,&(ak->r),&(aj->r));
+ if(bc) check_per_bound(moldyn,&dist_jk);
+ d_jk=v3_norm(&dist_jk);
+
+ /* jk constants */
+ num=aj->bnum;
+ if(num==ak->bnum) {
+ R=params->R[num];
+ S=params->S[num];
+ B=params->B[num];
+ mu=params->mu[num];
+ chi=1.0;
+ }
+ else {
+ R=params->Rmixed;
+ S=params->Smixed;
+ B=params->Bmixed;
+ mu=params->mu_m;
+ chi=params->chi;
+ }
+
+ /* zeta_ji/dzeta_ji contribution only for d_jk < S_jk */
+ if(d_jk<S) {
+
+ /* constants_j from exchange data */
+ n=*(exchange->n_j);
+ c=*(exchange->c_j);
+ d=*(exchange->d_j);
+ h=*(exchange->h_j);
+ c2=exchange->cj2;
+ d2=exchange->dj2;
+ c2d2=exchange->cj2dj2;
+
+ /* cosine of theta_jik by scalaproduct */
+ rr=v3_scalar_product(&dist_ij,&dist_jk); /* times -1 */
+ dd=d_ij*d_jk;
+ cos_theta=rr/dd;
+
+ /* d_costheta */
+ d_costheta1=1.0/(d_jk*d_ij);
+ d_costheta2=cos_theta/(d_ij*d_ij); /* in fact -cos(), but ^ */
+
+ /* some usefull values */
+ h_cos=(h-cos_theta);
+ d2_h_cos2=d2+(h_cos*h_cos);
+ frac=c2/(d2_h_cos2);
+
+ /* g(cos_theta) */
+ g=1.0+c2d2-frac;
+
+ /* d_costheta_ij and dg(cos_theta) - needed in any case! */
+ v3_scale(&temp1,&dist_jk,d_costheta1);
+ v3_scale(&temp2,&dist_ij,-d_costheta2); /* ji -> ij => -1 */
+ v3_add(&temp1,&temp1,&temp2);
+ v3_scale(&temp1,&temp1,-2.0*frac*h_cos/d2_h_cos2); /* dg */
+
+ /* f_c_jk + {d,}zeta contribution (df_c_jk = 0) */
+ dzeta=&(exchange->dzeta_ji);
+ if(d_jk<R) {
+ /* f_c_jk */
+ f_c_jk=1.0;
+
+ /* zeta_ji */
+ exchange->zeta_ji+=g;
+
+ /* dzeta_ji */
+ v3_add(dzeta,dzeta,&temp1);
+ }
+ else {
+ /* f_c_jk */
+ s_r=S-R;
+ arg=M_PI*(d_jk-R)/s_r;
+ f_c_jk=0.5+0.5*cos(arg);
+
+ /* zeta_ji */
+ exchange->zeta_ji+=f_c_jk*g;
+
+ /* dzeta_ij */
+ v3_scale(&temp1,&temp1,f_c_jk);
+ v3_add(dzeta,dzeta,&temp1);
+ }
+
+ /* dV_jk stuff | add force contribution on atom i immediately */
+ if(exchange->d_ij_between_rs) {
+ zeta=f_c*g;
+ v3_scale(&temp1,&temp1,f_c);
+ v3_scale(&temp2,&dist_ij,df_c);
+ v3_add(&temp1,&temp1,&temp2);
+ }
+ else {
+ zeta=g;
+ // dzeta_jk is simply dg, which is temp1
}
+ /* betajnj * zeta_jk ^ nj-1 */
+ tmp=exchange->betajnj*pow(zeta,(n-1.0));
+ tmp=-chi/2.0*pow(1+tmp*zeta,-1.0/(2.0*n)-1)*tmp;
+ v3_scale(&temp1,&temp1,tmp*B*exp(-mu*d_jk)*f_c_jk);
+ v3_add(&(ai->f),&(ai->f),&temp1); /* -1 skipped in f_a calc ^ */
}
return 0;