INT compute_hydro_IGT_second_phase( DOUBLE* _E )
{
INT i;
compute_r( D ); /* in Rf0 random move */
if ( !vel_grad_tensor )
{
for ( i = 0; i < size; ++i )
{
coord[ i * DIMS1 ] += Rf0[ i * DIMS0 ] + Rs[0][ i * DIMS0 ];
coord[ i * DIMS1 + 1] += Rf0[ i * DIMS0 + 1] + Rs[0][ i * DIMS0 + 1];
coord[ i * DIMS1 + 2] += Rf0[ i * DIMS0 + 2] + Rs[0][ i * DIMS0 + 2];
trans_to_box( coord + DIMS1 * i );
}
}
else
{
for ( i = 0; i < size; ++i )
{
coord[ i * DIMS1 ] += Rf0[ i * DIMS0 ] + Rs[0][ i * DIMS0 ] + 0.5 * FS[ i * DIMS1 ];
coord[ i * DIMS1 + 1] += Rf0[ i * DIMS0 + 1] + Rs[0][ i * DIMS0 + 1] + 0.5 * FS[ i * DIMS1 + 1];
coord[ i * DIMS1 + 2] += Rf0[ i * DIMS0 + 2] + Rs[0][ i * DIMS0 + 2] + 0.5 * FS[ i * DIMS1 + 2];
trans_to_box( coord + DIMS1 * i );
}
}
return compute_forces( _E, curr_time + curr_dt ) << 1;
}
void sim_md(struct state *state)
{
msg("MOLECULAR DYNAMICS JOB\n\n\n");
struct md *md = md_create(state);
if (cfg_get_bool(state->cfg, "velocitize"))
velocitize(md);
remove_system_drift(md);
compute_forces(md);
msg(" INITIAL STATE\n\n");
print_status(md);
for (int i = 1; i <= cfg_get_int(state->cfg, "max_steps"); i++) {
md->update_step(md);
if (i % cfg_get_int(state->cfg, "print_step") == 0) {
msg(" STATE AFTER %d STEPS\n\n", i);
print_status(md);
}
}
md_shutdown(md);
msg("MOLECULAR DYNAMICS JOB COMPLETED SUCCESSFULLY\n");
}
void Mass_spring_viewer::time_integration(float dt)
{
switch (integration_)
{
case Euler:
{
/** \todo (Part 1) Implement Euler integration scheme
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
compute_forces();
for (unsigned int i=0; i<body_.particles.size(); ++i){
Particle *p = &body_.particles.at(i);
//update position
p->position = p->position + dt*p->velocity;
//calculate the new acceleration using newton's second law
p->acceleration = p->force/p->mass;
p->velocity = p->velocity + dt*p->acceleration;
}
break;
}
case Midpoint:
{
/** \todo (Part 2) Implement the Midpoint time integration scheme
\li The Particle class has variables position_t and velocity_t to store current values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
break;
}
case Verlet:
{
/** \todo (Part 2) Implement the Verlet time integration scheme
\li The Particle class has a variable acceleration to remember the previous values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
break;
}
}
// impulse-based collision handling
if (collisions_ == Impulse_based)
{
impulse_based_collisions();
}
glutPostRedisplay();
}
INT compute_hydro_IGT( DOUBLE* _E )
{
INT i;
DOUBLE* tmp_coord;
compute_hydro_ermak( Rf0 ); /* in Rf determistic move, Rf0 coord for predictor step */
tmp_coord = coord;
coord = Rf0;
if ( compute_forces( NULL, curr_time + curr_dt ) )
{
coord = tmp_coord;
return 1;
}
compute_Rf( Rs, (hydro == DIFF_CHOLESKY) ? Ds : D );
coord = tmp_coord;
for ( i = 0; i < size * DIMS0; ++i )
{
Rf0[i] = 0.5 * (Rf[0][i] + Rs[0][i]); /*determistic move*/
}
while ( hydro )
{
INT LD = size*DIMS0;
#if USE_MPI
if ( hydro == DIFF_CHOLESKY )
{
sum_tensors_cholesky_mpi( );
break;
}
#endif
#ifdef _OPENMP
#pragma omp parallel for schedule( dynamic )
#endif
for ( i = 0; i < size; ++i )
{
INT j, k, l;
for ( j = 0; j < 3; ++j )
{
for ( k = g_id; k < i; k += g_numprocs )
{
for ( l = 0; l < 3; ++l )
{
D[ (i * DIMS0 + j) * LD + k * DIMS0 + l ] =
(D [ (i * DIMS0 + j) * LD + k * DIMS0 + l ] +
Ds[ (i * DIMS0 + j) * LD + k * DIMS0 + l ]) / 2;
}
}
}
}
break; /*only once*/
}
curr_iter++;
return compute_hydro_IGT_second_phase( _E );
}
void Mass_spring_viewer::time_integration(float dt)
{
switch (integration_)
{
case Euler:
{
/** \todo (Part 1) Implement Euler integration scheme
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
compute_forces();
for(unsigned int i = 0; i < body_.particles.size(); i++)
{
body_.particles[i].velocity += (dt/body_.particles[i].mass)*body_.particles[i].force;
body_.particles[i].position += dt*body_.particles[i].velocity;
}
break;
break;
}
case Midpoint:
{
/** \todo (Part 2) Implement the Midpoint time integration scheme
\li The Particle class has variables position_t and velocity_t to store current values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
break;
}
case Verlet:
{
/** \todo (Part 2) Implement the Verlet time integration scheme
\li The Particle class has a variable acceleration to remember the previous values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
break;
}
}
// impulse-based collision handling
if (collisions_ == Impulse_based)
{
impulse_based_collisions();
}
glutPostRedisplay();
}
void propagate_nuclear(double dt,Nuclear* mol,Electronic* el,Hamiltonian* ham,Thermostat* therm, int opt){
/**
\brief One step of Velocity verlet algorithm coupled to nuclear Thermostat - for NVT calculations
!!! IMPORTANT: Presently, this is only a template - the thermostat part is only outlined - need to test this first !!!
\param[in] Integration time step
\param[in,out] mol Describes the nuclear DOF. Changes during the integration.
\param[in] el Describes electronic DOF. Does not change during the integration.
\param[in,out] ham Is the Hamiltonian object that works as a functor (takes care of all calculations of given type) -its internal variables
are changed during the compuations
\param[in] therm The pointer to a Thermostat object, which contains the information about thermal bath state
\param[in] opt Option for selecting the way to describe the electron-nuclear interaction: = 0 - Ehrenfest (mean-field, MF), =1 -
(fewest switched surface hopping, FSSH)
*/
int i;
// Propagate momenta and positions of all nuclei
// mol->P[i] *= exp(-therm->gamma*0.25*dt);
// mol->P[i] += therm->ksi() * 0.5*dt;
// mol->P[i] *= exp(-therm->gamma*0.25*dt);
// exp(iL_q*dt)*exp(iL_p*dt/2)
mol->propagate_p(0.5*dt);
mol->propagate_q(dt);
// Update Hamiltonian
ham->set_q(mol->q); ham->compute();
// Update forces and potential energy
compute_potential_energy(mol, el, ham, opt);
compute_forces(mol, el, ham, opt);
// Propagate momenta of all nucleii
// operator exp(iL_p*dt/2)
mol->propagate_p(0.5*dt);
// Propagate momenta and positions of all nuclei
// mol->P[i] *= exp(-therm->gamma*0.25*dt);
// mol->P[i] += therm->ksi() * 0.5*dt;
// mol->P[i] *= exp(-therm->gamma*0.25*dt);
}// propagate_nuclear
void propagate_nuclear(double dt,Nuclear* mol,Electronic* el,Hamiltonian* ham,int opt){
/**
\brief One step of Velocity verlet algorithm for nuclear DOF
\param[in] Integration time step
\param[in,out] mol Describes the nuclear DOF. Changes during the integration.
\param[in] el Describes electronic DOF. Does not change during the integration.
\param[in,out] ham Is the Hamiltonian object that works as a functor (takes care of all calculations of given type) -its internal variables
are changed during the compuations
\param[in] opt Option for selecting the way to describe the electron-nuclear interaction: = 0 - Ehrenfest (mean-field, MF), =1 -
(fewest switched surface hopping, FSSH)
*/
int i;
vector<double> v_(mol->nnucl);
// Propagate momenta and positions of all nuclei
// exp(iL_q*dt)*exp(iL_p*dt/2)
mol->propagate_p(0.5*dt);
mol->propagate_q(dt);
// Update Hamiltonian
ham->set_q(mol->q);
for(i=0;i<mol->nnucl;i++){ v_[i] = mol->p[i]/mol->mass[i]; } ham->set_v(v_);
ham->compute();
// Update forces and potential energy
compute_potential_energy(mol, el, ham, opt);
compute_forces(mol, el, ham, opt);
// Propagate momenta of all nucleii
// operator exp(iL_p*dt/2)
mol->propagate_p(0.5*dt);
// ham->set_q(mol->q);
for(i=0;i<mol->nnucl;i++){ v_[i] = mol->p[i]/mol->mass[i]; } ham->set_v(v_);
// ham->compute();
}// propagate_nuclear
void Rigid_body_viewer::time_integration(float dt)
{
// compute all forces
compute_forces();
/** \todo Implement explicit Euler time integration
\li update position and orientation
\li update linear and angular velocities
\li call update_points() at the end to compute the new particle positions
*/
body_.linear_velocity += body_.force * dt / body_.mass;
body_.position += body_.linear_velocity * dt;
body_.angular_velocity += body_.torque * dt / body_.inertia;
body_.orientation += body_.angular_velocity * dt;
body_.update_points();
// handle collisions
impulse_based_collisions();
}
static void update_step_nve(struct md *md)
{
double dt = cfg_get_double(md->state->cfg, "time_step");
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
body->vel.x += 0.5 * body->force.x * dt / body->mass;
body->vel.y += 0.5 * body->force.y * dt / body->mass;
body->vel.z += 0.5 * body->force.z * dt / body->mass;
body->angmom.x += 0.5 * body->torque.x * dt;
body->angmom.y += 0.5 * body->torque.y * dt;
body->angmom.z += 0.5 * body->torque.z * dt;
body->pos.x += body->vel.x * dt;
body->pos.y += body->vel.y * dt;
body->pos.z += body->vel.z * dt;
rotate_body(body, dt);
}
compute_forces(md);
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
body->vel.x += 0.5 * body->force.x * dt / body->mass;
body->vel.y += 0.5 * body->force.y * dt / body->mass;
body->vel.z += 0.5 * body->force.z * dt / body->mass;
body->angmom.x += 0.5 * body->torque.x * dt;
body->angmom.y += 0.5 * body->torque.y * dt;
body->angmom.z += 0.5 * body->torque.z * dt;
}
}
int main(int argc, char** argv)
{
//printf("%f\n",GRID_NUM);
struct timespec diff(struct timespec start, struct timespec end);
struct timespec time1, time2;
struct timespec time_stamp;
int npart,i,j,Num;
params param;
mols mol;
adjacent adj;
param.npart = N_BODY_NUM;
param.dt = DT;
param.eps_lj = EPS;
param.sig_lj = SIG;
mol.x = malloc(2*param.npart * sizeof(float));
mol.v = malloc(2*param.npart * sizeof(float));
mol.a = malloc(2*param.npart * sizeof(float));
mol.F = malloc(2*param.npart * sizeof(float));
#if (NEAREST)
double Blength = BLOCK_LENGTH(GRID_NUM,BOX_SIZE);
printf("Blength: %lf\n",Blength);
Num = EST_NUM(GRID_NUM,N_BODY_NUM);
Num = 4*Num;
if(!Num)
{
Num = 4;
}
if(N_BODY_NUM < Num)
{
Num = N_BODY_NUM;
}
adj.n = malloc(sizeof(int) * GRID_NUM * GRID_NUM * Num);
memset(adj.n,-1,sizeof(int) * GRID_NUM * GRID_NUM * Num);
printf("Num: %d\n",Num);
#endif
npart = init_particles(param.npart, mol.x , mol.v, ¶m);
if(npart < param.npart)
{
fprintf(stderr, "Could not generate %d particles, Trying %d particles instead\n",param.npart,npart);
param.npart = npart;
}
else
{
fprintf(stdout,"Generated %d particles\n",param.npart);
}
init_particles_va( param.npart, mol.v,mol.a, ¶m);
#if(NEAREST)
printf("Before gridSort\n");
gridSort(npart, GRID_NUM, Num, adj.n, mol.x);
printf("After gridSort\n");
#endif
/*for(i=0;i<npart;i++)
printf("myBlockNum: %d\n",getMyBlock(param.npart,2*i, adj.n, Num/2));
for(i=0; i < param.npart; i++)
{
printf("nBody-Num: %d Posx: %f Velx: %f Accx: %f Forcex: %f\n",i,
mol.x[2*i],mol.v[2*i],mol.a[2*i],mol.F[2*i]);
printf("nBody-Num: %d Posy: %f Vely: %f Accy: %f Forcey: %f\n",i,
mol.x[2*i+1],mol.v[2*i+1],mol.a[2*i+1],mol.F[2*i+1]);
}
*/
#if(LINUX)
clock_gettime(CLOCK_REALTIME, &time1);
#endif
#if(NEAREST)
compute_forces_nearby(param.npart, adj.n, mol.x, mol.F, GRID_NUM, Num);
#elif(OPT)
compute_forces(param.npart,mol.x,mol.F);
#else
compute_forces_naive(param.npart,mol.x,mol.F);
#endif
printf("After First ComputeForces\n");
for(i=0;i<ITERS;i++)
{
#if(NEAREST)
gridSort(npart, GRID_NUM, Num, adj.n, mol.x); // Added in the gridSort function for each iteration
#endif
verletInt1(param.npart,param.dt , mol.x, mol.v,mol.a);
box_reflect(param.npart,mol.x,mol.v,mol.a );
#if(NEAREST)
compute_forces_nearby(param.npart, adj.n, mol.x, mol.F, GRID_NUM, Num);
#elif(OPT)
compute_forces(param.npart,mol.x,mol.F);
#else
compute_forces_naive(param.npart,mol.x,mol.F);
#endif
verletInt2(param.npart,param.dt, mol.x, mol.v, mol.a);
memset(mol.F, 0 , 2*param.npart * sizeof(float));
}
#if(LINUX)
clock_gettime(CLOCK_REALTIME, &time2);
#endif
/*
for(i=0; i < param.npart; i++)
{
printf("nBody-Num: %d Posx: %f Velx: %f Accx: %f Forcex: %f\n",i,
mol.x[2*i],mol.v[2*i],mol.a[2*i],mol.F[2*i]);
printf("nBody-Num: %d Posy: %f Vely: %f Accy: %f Forcey: %f\n",i,
mol.x[2*i+1],mol.v[2*i+1],mol.a[2*i+1],mol.F[2*i+1]);
}
*/
#if(LINUX)
double blength = BLOCK_LENGTH(GRID_NUM,BOX_SIZE);
printf("Boxsize: %lf,Blocksize: %lf,MaxBodiesPerBlock: %d\n",BOX_SIZE,blength, maxNumPartPerBlock(blength,SIG));
time_stamp = diff(time1,time2);
printf("Execution time: %lf\n",(double)((time_stamp.tv_sec + (time_stamp.tv_nsec/1.0e9))));
#else
printf("Boxsize: %lf,BlockNum: %lf,MaxBodiesPerBlock: %d\n",BOX_SIZE,GRID_NUM, maxNumPartPerBlock(GRID_NUM,SIG));
#endif
/* // test statements for the grid allocation
int count =0;
for(i=0;i<GRID_NUM*GRID_NUM*Num/2;i++)
{
if(adj.n[i]!=-1)
{
count++;
}
}
printf("%d\n",count);
*/
#if(NEAREST)
free(adj.n);
#endif
free(mol.x);
free(mol.v);
free(mol.a);
free(mol.F);
printf("Done\n");
return 0;
}
/*
* Reference
*
* Simone Melchionna, Giovanni Ciccotti, Brad Lee Holian
*
* Hoover NPT dynamics for systems varying in shape and size
*
* Mol. Phys. 78, 533 (1993)
*/
static void update_step_npt(struct md *md)
{
struct npt_data *data = (struct npt_data *)md->data;
double dt = cfg_get_double(md->state->cfg, "time_step");
double t_tau = cfg_get_double(md->state->cfg, "thermostat_tau");
double t_target = cfg_get_double(md->state->cfg, "temperature");
double p_tau = cfg_get_double(md->state->cfg, "barostat_tau");
double p_target = cfg_get_double(md->state->cfg, "pressure");
double t_tau2 = t_tau * t_tau;
double p_tau2 = p_tau * p_tau;
double kbt = BOLTZMANN * t_target;
double t0 = get_temperature(md);
double p0 = get_pressure(md);
double v0 = get_volume(md);
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
body->vel.x += 0.5 * dt * (body->force.x / body->mass -
body->vel.x * (data->chi + data->eta));
body->vel.y += 0.5 * dt * (body->force.y / body->mass -
body->vel.y * (data->chi + data->eta));
body->vel.z += 0.5 * dt * (body->force.z / body->mass -
body->vel.z * (data->chi + data->eta));
body->angmom.x += 0.5 * dt * (body->torque.x -
body->angmom.x * data->chi);
body->angmom.y += 0.5 * dt * (body->torque.y -
body->angmom.y * data->chi);
body->angmom.z += 0.5 * dt * (body->torque.z -
body->angmom.z * data->chi);
rotate_body(body, dt);
}
data->chi += 0.5 * dt * (t0 / t_target - 1.0) / t_tau2;
data->chi_dt += 0.5 * dt * data->chi;
data->eta += 0.5 * dt * v0 * (p0 - p_target) / md->n_bodies / kbt / p_tau2;
vec_t com = get_system_com(md);
vec_t pos_init[md->n_bodies];
for (size_t i = 0; i < md->n_bodies; i++)
pos_init[i] = md->bodies[i].pos;
for (size_t iter = 1; iter <= MAX_ITER; iter++) {
bool done = true;
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
vec_t pos = wrap(md, &body->pos);
vec_t v = {
data->eta * (pos.x - com.x),
data->eta * (pos.y - com.y),
data->eta * (pos.z - com.z)
};
vec_t new_pos = {
pos_init[i].x + dt * (body->vel.x + v.x),
pos_init[i].y + dt * (body->vel.y + v.y),
pos_init[i].z + dt * (body->vel.z + v.z)
};
done = done && vec_dist(&body->pos, &new_pos) < EPSILON;
body->pos = new_pos;
}
if (done)
break;
if (iter == MAX_ITER)
msg("WARNING: NPT UPDATE DID NOT CONVERGE\n\n");
}
vec_scale(&md->box, exp(dt * data->eta));
check_fail(efp_set_periodic_box(md->state->efp, md->box.x, md->box.y, md->box.z));
compute_forces(md);
double chi_init = data->chi, eta_init = data->eta;
vec_t angmom_init[md->n_bodies], vel_init[md->n_bodies];
for (size_t i = 0; i < md->n_bodies; i++) {
angmom_init[i] = md->bodies[i].angmom;
vel_init[i] = md->bodies[i].vel;
}
for (size_t iter = 1; iter <= MAX_ITER; iter++) {
double chi_prev = data->chi;
double eta_prev = data->eta;
double t_cur = get_temperature(md);
double p_cur = get_pressure(md);
double v_cur = get_volume(md);
data->chi = chi_init + 0.5 * dt * (t_cur / t_target - 1.0) / t_tau2;
data->eta = eta_init + 0.5 * dt * v_cur * (p_cur - p_target) /
md->n_bodies / kbt / p_tau2;
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
body->vel.x = vel_init[i].x + 0.5 * dt *
(body->force.x / body->mass -
vel_init[i].x * (data->chi + data->eta));
body->vel.y = vel_init[i].y + 0.5 * dt *
(body->force.y / body->mass -
vel_init[i].y * (data->chi + data->eta));
body->vel.z = vel_init[i].z + 0.5 * dt *
(body->force.z / body->mass -
vel_init[i].z * (data->chi + data->eta));
body->angmom.x = angmom_init[i].x + 0.5 * dt *
(body->torque.x - angmom_init[i].x * data->chi);
body->angmom.y = angmom_init[i].y + 0.5 * dt *
(body->torque.y - angmom_init[i].y * data->chi);
body->angmom.z = angmom_init[i].z + 0.5 * dt *
(body->torque.z - angmom_init[i].z * data->chi);
}
if (fabs(data->chi - chi_prev) < EPSILON &&
fabs(data->eta - eta_prev) < EPSILON)
break;
if (iter == MAX_ITER)
msg("WARNING: NPT UPDATE DID NOT CONVERGE\n\n");
}
data->chi_dt += 0.5 * dt * data->chi;
}
/*
* NVT with Nose-Hoover thermostat:
*
* William G. Hoover
*
* Canonical dynamics: Equilibrium phase-space distributions
*
* Phys. Rev. A 31, 1695 (1985)
*/
static void update_step_nvt(struct md *md)
{
struct nvt_data *data = (struct nvt_data *)md->data;
double dt = cfg_get_double(md->state->cfg, "time_step");
double target = cfg_get_double(md->state->cfg, "temperature");
double tau = cfg_get_double(md->state->cfg, "thermostat_tau");
double t0 = get_temperature(md);
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
body->vel.x += 0.5 * dt * (body->force.x / body->mass -
body->vel.x * data->chi);
body->vel.y += 0.5 * dt * (body->force.y / body->mass -
body->vel.y * data->chi);
body->vel.z += 0.5 * dt * (body->force.z / body->mass -
body->vel.z * data->chi);
body->angmom.x += 0.5 * dt * (body->torque.x -
body->angmom.x * data->chi);
body->angmom.y += 0.5 * dt * (body->torque.y -
body->angmom.y * data->chi);
body->angmom.z += 0.5 * dt * (body->torque.z -
body->angmom.z * data->chi);
body->pos.x += body->vel.x * dt;
body->pos.y += body->vel.y * dt;
body->pos.z += body->vel.z * dt;
rotate_body(body, dt);
}
data->chi += 0.5 * dt * (t0 / target - 1.0) / tau / tau;
data->chi_dt += 0.5 * dt * data->chi;
compute_forces(md);
double chi_init = data->chi;
vec_t angmom_init[md->n_bodies], vel_init[md->n_bodies];
for (size_t i = 0; i < md->n_bodies; i++) {
angmom_init[i] = md->bodies[i].angmom;
vel_init[i] = md->bodies[i].vel;
}
for (size_t iter = 1; iter <= MAX_ITER; iter++) {
double chi_prev = data->chi;
double ratio = get_temperature(md) / target;
data->chi = chi_init + 0.5 * dt * (ratio - 1.0) / tau / tau;
for (size_t i = 0; i < md->n_bodies; i++) {
struct body *body = md->bodies + i;
body->vel.x = vel_init[i].x + 0.5 * dt *
(body->force.x / body->mass - vel_init[i].x * data->chi);
body->vel.y = vel_init[i].y + 0.5 * dt *
(body->force.y / body->mass - vel_init[i].y * data->chi);
body->vel.z = vel_init[i].z + 0.5 * dt *
(body->force.z / body->mass - vel_init[i].z * data->chi);
body->angmom.x = angmom_init[i].x + 0.5 * dt *
(body->torque.x - angmom_init[i].x * data->chi);
body->angmom.y = angmom_init[i].y + 0.5 * dt *
(body->torque.y - angmom_init[i].y * data->chi);
body->angmom.z = angmom_init[i].z + 0.5 * dt *
(body->torque.z - angmom_init[i].z * data->chi);
}
if (fabs(data->chi - chi_prev) < EPSILON)
break;
if (iter == MAX_ITER)
msg("WARNING: NVT UPDATE DID NOT CONVERGE\n\n");
}
data->chi_dt += 0.5 * dt * data->chi;
}
void State::run_md(Nuclear& mol, Electronic& el, Hamiltonian& ham){
if(md==NULL) { std::cout<<"Error: MD parameters have not been defined\n"; exit(1);}
if(!is_md_initialized){ std::cout<<"Error: Need to call init_md() first. MD is not initialized\n"; exit(2); }
int is_thermostat, is_barostat;
is_thermostat = ((thermostat!=NULL) && ((md->ensemble=="NVT")||(md->ensemble=="NPT")||(md->ensemble=="NPT_FLEX")));
is_barostat = ((barostat!=NULL) && ((md->ensemble=="NPT")||(md->ensemble=="NPT_FLEX")||(md->ensemble=="NPH")||(md->ensemble=="NPH_FLEX")));
double dt = md->dt;
double dt_half = 0.5*md->dt;
double Nf = syst->Nf_t + syst->Nf_r;
int Nf_b = 0;
if(is_barostat) {Nf_b = barostat->get_Nf_b();}
double scl,sc3,sc4,ksi_r;
MATRIX3x3 S,I,sc1,sc2;
while(md->curr_step<md->max_step){
// Operator NHCB(dt/2)
if(is_thermostat){
double ekin_baro = 0.0;
if(is_barostat){ ekin_baro = barostat->ekin_baro(); }
thermostat->update_thermostat_forces(syst->ekin_tr(),syst->ekin_rot(),ekin_baro);
thermostat->propagate_nhc(dt_half,syst->ekin_tr(),syst->ekin_rot(),ekin_baro);
}
if(is_thermostat){ thermostat->propagate_sPs(dt_half); }
//bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
// Operator B(dt/2)
if(is_barostat){
if(md->ensemble=="NPT"||md->ensemble=="NPH"){ barostat->update_barostat_forces(syst->ekin_tr(),syst->ekin_rot(),curr_V,curr_P); }
else if(md->ensemble=="NPT_FLEX"||md->ensemble=="NPH_FLEX"){ barostat->update_barostat_forces(syst->ekin_tr(),syst->ekin_rot(),curr_V,curr_P_tens); }
scl = 0.0; if(is_thermostat){ scl = thermostat->get_ksi_b(); }
barostat->propagate_velocity(dt_half,scl);
}
//bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
double s_var,Ps,dt_half_s,dt_over_s,dt_over_s2;
s_var = 1.0; Ps = 0.0;
dt_half_s = dt_half;
dt_over_s = dt;
dt_over_s2 = dt;
if(md->ensemble=="NVT"||md->ensemble=="NPT"||md->ensemble=="NPT_FLEX"||md->ensemble=="NPH"||md->ensemble=="NPH_FLEX"){
if(is_thermostat){
s_var = thermostat->get_s_var();
dt_half_s = dt_half*s_var;
dt_over_s = (dt/s_var);
dt_over_s2 = (dt_over_s/s_var);
}
}
//aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
// Operator A(dt/2)
//-------------------- Linear momentum propagation --------------------
S = 0.0; I.identity();
if(is_barostat){
if(Nf_b==9){ S = barostat->ksi_eps + (barostat->ksi_eps.tr()/(barostat->get_Nf_t()/*+barostat->get_Nf_r()*/))*I; }
else if(Nf_b==1){S = barostat->ksi_eps_iso * I + (3.0*barostat->ksi_eps_iso/(barostat->get_Nf_t()/*+barostat->get_Nf_r()*/))*I; }
}
if(is_thermostat){ S = S + thermostat->get_ksi_t() * I; }
sc1 = (exp_(S,-dt_half));//.symmetrized();
sc2 = dt_half*(exp1_(S,-dt_half*0.5));//.symmetrized()*dt_half;
//------------------- Angular momentum propagation -----------------------
if(is_thermostat){ ksi_r = thermostat->get_ksi_r();}else{ ksi_r = 0.0;}
sc3 = exp(-dt_half*ksi_r);
sc4 = dt_half*exp(-0.5*dt_half*ksi_r)*sinh_(0.5*dt_half*ksi_r);
for(int i=0;i<syst->Number_of_fragments;i++){
RigidBody& top = syst->Fragments[i].Group_RB;
//-------------------- Linear momentum propagation --------------------
top.scale_linear_(sc1);
top.apply_force(sc2);
//------------------- Angular momentum propagation -----------------------
top.scale_angular_(sc3);
top.apply_torque(sc4);
}// for i
// if(is_thermostat){
// thermostat->propagate_Ps(-dt_half*E_pot);
// }
//aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
if(is_thermostat){ thermostat->propagate_Ps(-dt_half*E_pot); }
//ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//ccccccccccccccccccccccccccccccc Core part ccccccccccccccccccccccccccccccccccccc
sc1.identity();
sc2.identity();
sc2 = sc2 * dt;
if(is_barostat){
sc1 = (barostat->pos_scale(dt));
sc2 = dt*barostat->vpos_scale(dt);
}
for(i=0;i<syst->Number_of_fragments;i++){
RigidBody& top = syst->Fragments[i].Group_RB;
if(is_thermostat){ thermostat->propagate_Ps( 0.5*dt_over_s2*(top.ekin_rot()+top.ekin_tr()) ); }
double Ps,s_var;
s_var = 1.0; if(is_thermostat){ s_var = thermostat->s_var; }
Ps = 0.0;
if(md->integrator=="Jacobi") { top.propagate_exact_rb(dt_over_s); }
else if(md->integrator=="DLML") { top.propagate_dlml(dt_over_s,Ps); }
else if(md->integrator=="Terec") { top.propagate_terec(dt_over_s);}
else if(md->integrator=="qTerec") { top.propagate_qterec(dt_over_s);}
else if(md->integrator=="NO_SQUISH"){ top.propagate_no_squish(dt_over_s);}
else if(md->integrator=="KLN") { top.propagate_kln(dt_over_s);}
else if(md->integrator=="Omelyan"){ top.propagate_omelyan(dt_over_s);}
if(is_thermostat){ thermostat->propagate_Ps( 0.5*dt_over_s2*(top.ekin_rot()+top.ekin_tr()) ); }
if(is_barostat) {
top.scale_position(sc1);
top.shift_position(sc2*top.rb_p*top.rb_iM);
}
else{
top.shift_position(dt_over_s*top.rb_p*top.rb_iM);
}
}// for i - all fragments
if(is_thermostat){ thermostat->propagate_Ps(dt*( H0 - Nf*boltzmann*thermostat->Temperature*(log(thermostat->s_var)+1.0) ) ); }
// Update cell shape
if(is_barostat){
if(syst->is_Box) {
VECTOR t1_n,t2_n,t3_n; // new
VECTOR t1_o,t2_o,t3_o; // old
syst->Box = barostat->pos_scale(dt) * syst->Box;
/*
system->Boxold.get_vectors(t1_o,t2_o,t3_o);
system->Box.get_vectors(t1_n,t2_n,t3_n);
// Find minimal heights of old and new boxes
double h1_n,h2_n,h3_n;
double h1_o,h2_o,h3_o;
double V_n, V_o; // Volume
double max_n,min_n,max_o,min_o; // maximal and minimal heights new and old
V_n = fabs(system->Box.Determinant());
V_o = fabs(system->Boxold.Determinant());
VECTOR S;
S.cross(t2_n,t3_n); h1_n = V_n/fabs(S.length());
S.cross(t3_n,t1_n); h2_n = V_n/fabs(S.length());
S.cross(t1_n,t2_n); h3_n = V_n/fabs(S.length());
max_n = (h1_n>=h2_n)?h1_n:h2_n; min_n = (h1_n<=h2_n)?h1_n:h2_n;
max_n = (max_n>=h3_n)?max_n:h3_n; min_n = (min_n<=h3_n)?min_n:h3_n;
S.cross(t2_o,t3_o); h1_o = V_o/fabs(S.length());
S.cross(t3_o,t1_o); h2_o = V_o/fabs(S.length());
S.cross(t1_o,t2_o); h3_o = V_o/fabs(S.length());
max_o = (h1_o>=h2_o)?h1_o:h2_o; min_o = (h1_o<=h2_o)?h1_o:h2_o;
max_o = (max_o>=h3_o)?max_o:h3_o; min_o = (min_o<=h3_o)?min_o:h3_o;
int n_max = ceil((12.0+2.0)/min_n)+1;
int o_max = ceil((12.0+2.0)/min_o)+1;
n_max = (n_max>=o_max)?n_max:o_max;
double dt1,dt2;
dt1 = (max_n - min_o); dt1 = dt1*dt1;
dt2 = (max_o - min_n); dt2 = dt2*dt2;
system->dT_2 = 4.0*3.0*n_max*n_max*((dt1>=dt2)?dt1:dt2);
*/
}
}
// Update atomic positions and calculate interactions
for(i=0;i<syst->Number_of_fragments;i++){ syst->update_atoms_for_fragment(i); }
syst->zero_forces_and_torques();
//!!!!!!!!!!!!!!!!1 E_pot = system->energy(); !!!!!!!!!!!!!!!!1
syst->extract_atomic_q(mol.q); // syst -> mol
// E_pot = compute_potential_energy(mol, el, ham, 1); // # 1 - FSSH forces
E_pot = compute_forces(mol, el, ham, 1);
syst->set_atomic_f(mol.f); // mol -> syst
// Update rigid-body variables
syst->update_fragment_forces_and_torques();
//cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
// Operator A(dt/2)
E_kin = 0.0;
//-------------------- Linear momentum propagation --------------------
S = 0.0; I.identity();
if(is_barostat){
if(Nf_b==9){ S = barostat->ksi_eps + (barostat->ksi_eps.tr()/(barostat->get_Nf_t()/*+barostat->get_Nf_r()*/))*I; }
else if(Nf_b==1){S = barostat->ksi_eps_iso * I + (3.0*barostat->ksi_eps_iso/(barostat->get_Nf_t()/*+barostat->get_Nf_r()*/))*I; }
}
if(is_thermostat){ S = S + thermostat->get_ksi_t() * I; }
sc1 = (exp_(S,-dt_half));//.symmetrized();
sc2 = dt_half*(exp1_(S,-dt_half*0.5));//.symmetrized()*dt_half;
//------------------- Angular momentum propagation -----------------------
if(is_thermostat){ ksi_r = thermostat->get_ksi_r();}else{ ksi_r = 0.0;}
sc3 = exp(-dt_half*ksi_r);
sc4 = dt_half*exp(-0.5*dt_half*ksi_r)*sinh_(0.5*dt_half*ksi_r);
for(i=0;i<syst->Number_of_fragments;i++){
RigidBody& top = syst->Fragments[i].Group_RB;
//-------------------- Linear momentum propagation --------------------
top.scale_linear_(sc1);
top.apply_force(sc2);
//------------------- Angular momentum propagation -----------------------
top.scale_angular_(sc3);
top.apply_torque(sc4);
E_kin += (top.ekin_rot() + top.ekin_tr());
}// for i
//aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
if(is_thermostat){ thermostat->propagate_Ps( -dt_half*E_pot); }
//------- Update state variables ------------
curr_P_tens = syst->pressure_tensor();
curr_P = (curr_P_tens.tr()/3.0);
curr_V = syst->volume();
// curr_P_tens = 0.0;
// curr_P = 0.0;
// curr_V = 1e+10;
//-------------------------------------------
//bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
// Operator B(dt/2)
if(is_barostat){
if(md->ensemble=="NPT"||md->ensemble=="NPH"){ barostat->update_barostat_forces(syst->ekin_tr(),syst->ekin_rot(),curr_V,curr_P); }
else if(md->ensemble=="NPT_FLEX"||md->ensemble=="NPH_FLEX"){ barostat->update_barostat_forces(syst->ekin_tr(),syst->ekin_rot(),curr_V,curr_P_tens); }
scl = 0.0; if(is_thermostat){ scl = thermostat->get_ksi_b(); }
barostat->propagate_velocity(dt_half,scl);
}
//bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
if(is_thermostat){thermostat->propagate_sPs(dt_half); }
// Operator NHCB(dt/2)
if(is_thermostat){
double ekin_baro = 0.0;
if(is_barostat){ ekin_baro = barostat->ekin_baro(); }
thermostat->update_thermostat_forces(syst->ekin_tr(),syst->ekin_rot(),ekin_baro);
thermostat->propagate_nhc(dt_half,syst->ekin_tr(),syst->ekin_rot(),ekin_baro);
}
if(md->ensemble=="NVE"){ s_var = 1.0; Ps = 0.0;}
if(is_thermostat){ E_kin/=(thermostat->s_var*thermostat->s_var); }
E_kin_tr = syst->ekin_tr();
E_kin_rot = syst->ekin_rot();
E_tot = E_kin + E_pot;
// if(!is_H0){ H0 = E_tot + thermostat->energy(); is_H0 = 1;}
if(md->ensemble=="NVE"){ H_NP = E_tot; }
else if(md->ensemble=="NVT"){
if(is_thermostat){
if(!is_H0){ H0 = E_tot + thermostat->energy(); is_H0 = 1;}
if(thermostat->thermostat_type=="Nose-Poincare"){ H_NP = thermostat->s_var*(E_tot + thermostat->energy() - H0); }
else if(thermostat->thermostat_type=="Nose-Hoover"){ H_NP = E_tot + thermostat->energy(); }
}
}
else if(md->ensemble=="NPH"||md->ensemble=="NPH_FLEX"){
if(is_barostat){ H_NP = E_tot + barostat->ekin_baro() + curr_V * barostat->Pressure; }
}
else if(md->ensemble=="NPT" || md->ensemble=="NPT_FLEX"){
if(is_barostat){ H_NP = E_tot + barostat->ekin_baro() + curr_V * barostat->Pressure; }
if(is_thermostat){ H_NP += thermostat->energy(); }
}
curr_T = 2.0*E_kin/(Nf*(boltzmann/hartree));
//------------- Angular velocity --------------
L_tot = 0.0;
P_tot = 0.0;
for(i=0;i<syst->Number_of_fragments;i++){
RigidBody& top = syst->Fragments[i].Group_RB;
VECTOR tmp; tmp.cross(top.rb_cm,top.rb_p);
L_tot += top.rb_A_I_to_e_T * top.rb_l_e + tmp;
P_tot += top.rb_p;
}
md->curr_step++;
md->curr_time+=dt;
}// for s
md->curr_step = 0;
md->curr_time = 0.0;
}
void State::init_md(Nuclear& mol, Electronic& el, Hamiltonian& ham, Random& rnd){
//----- Checking type of ensemble and the existence of required variables ------
int is_thermostat, is_barostat, is_system;
is_system = (syst!=NULL);
is_thermostat = (thermostat!=NULL);
is_barostat = (barostat!=NULL);
cout<<"is_system = "<<is_system<<endl;
cout<<"is_thermostat = "<<is_thermostat<<endl;
cout<<"is_barostat = "<<is_barostat<<endl;
int Nf_b = 0;
if(!is_system){ std::cout<<"Fatal error: No system defined - nothing to simulate\n Exiting now...\n"; exit(1); }
if(md->ensemble=="NVT"||md->ensemble=="NPT"){
if(!is_thermostat){ std::cout<<"Error: No Thermostat object were set up. Can not run simulations in "<<md->ensemble<<" ensemble\n"; exit(1);}
}
if(md->ensemble=="NPT"||md->ensemble=="NPH"){
Nf_b = 1;
if(!is_barostat){std::cout<<"Error: No Barostat object were set up. Can not run simulations in "<<md->ensemble<<" ensemble\n"; exit(1);}
}
if(md->ensemble=="NPT_FLEX"||md->ensemble=="NPH_FLEX"){
Nf_b = 9;
if(!is_barostat){std::cout<<"Error: No Barostat object were set up. Can not run simulations in "<<md->ensemble<<" ensemble\n"; exit(1);}
}
// if(md->ensemble=="NVE"){is_thermostat = 0; is_barostat = 0; }
//---------------- Checking combinations -----------------------------------
if(is_barostat&&is_thermostat){
if(thermostat->thermostat_type!="Nose-Hoover" && md->ensemble=="NPT"){
std::cout<<"Error: Can not use thermostat other than Nose-Hoover for simulations in NPT ensemble\n Exiting now...\n"; exit(1);
}
}
//------ Initialize thermostat and/or barostat if they exist ----------------
if(is_thermostat){
thermostat->set_Nf_t(syst->Nf_t);
thermostat->set_Nf_r(syst->Nf_r);
if(is_barostat){ thermostat->set_Nf_b(Nf_b); }
thermostat->init_nhc();
syst->init_fragment_velocities(thermostat->Temperature, rnd);
}
if(is_barostat){
barostat->set_Nf_t(syst->Nf_t);
barostat->set_Nf_r(syst->Nf_r);
barostat->set_Nf_b(Nf_b);
if(is_thermostat){ barostat->init(thermostat->Temperature); }
}
//---------------- Initialize system --------------------
E_kin = 0.0;
for(int i=0;i<syst->Number_of_fragments;i++){
RigidBody& top = syst->Fragments[i].Group_RB;
E_kin += (top.ekin_tr() + top.ekin_rot());
}
syst->zero_forces_and_torques();
//!!!!!!!!!! E_pot = system->energy(); !!!!!!!!!!!!!!!!!
syst->extract_atomic_q(mol.q); // syst -> mol
E_pot = compute_potential_energy(mol, el, ham, 1); // # 1 - FSSH forces
compute_forces(mol, el, ham, 1);
syst->set_atomic_f(mol.f); // mol -> syst
syst->update_fragment_forces_and_torques();
E_tot = E_pot + E_kin;
H0 = E_tot;
H_NP = 0.0;
if(is_thermostat){ H0 += thermostat->energy(); }
if(md->integrator=="Terec"||md->integrator=="qTerec"){
for(int i=0;i<syst->Number_of_fragments;i++){
syst->Fragments[i].Group_RB.initialize_terec(md->terec_exp_size);
}
}
is_md_initialized = 1;
if(is_thermostat){ thermostat->show_info(); }
if(is_barostat){ barostat->show_info(); }
}
void Mass_spring_viewer::time_integration(float dt)
{
switch (integration_)
{
case Euler:
{
/** \todo (Part 1) Implement Euler integration scheme
\li The Particle class has variables position_t and velocity_t to store current values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
compute_forces ();
for (std::vector<Particle>::iterator p_it = body_.particles.begin (); p_it != body_.particles.end (); ++p_it)
if (!p_it->locked)
{
/// 1)
p_it->acceleration = p_it->force / p_it->mass;
/// 2)
p_it->position = p_it->position + dt * p_it->velocity;
/// 3)
p_it->velocity = p_it->velocity + dt * p_it->acceleration;
}
break;
}
case Midpoint:
{
/** \todo (Part 2) Implement the Midpoint time integration scheme
\li The Particle class has variables position_t and velocity_t to store current values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
compute_forces();
for (std::vector<Particle>::iterator p_it = body_.particles.begin (); p_it != body_.particles.end (); ++p_it)
if (!p_it->locked)
{
p_it->position_t = p_it->position;
p_it->velocity_t = p_it->velocity;
p_it->acceleration = p_it->force/p_it->mass;
p_it->position += 0.5*dt * p_it->velocity;
p_it->velocity += 0.5*dt * p_it->acceleration;
}
compute_forces();
for (std::vector<Particle>::iterator p_it = body_.particles.begin (); p_it != body_.particles.end (); ++p_it)
if (!p_it->locked)
{
p_it->acceleration = p_it->force / p_it->mass;
p_it->position = p_it->position_t + dt * p_it->velocity;
p_it->velocity = p_it->velocity_t + dt * p_it->acceleration;
}
break;
}
case Verlet:
{
/** \todo (Part 2) Implement the Verlet time integration scheme
\li The Particle class has a variable acceleration to remember the previous values
\li Hint: compute_forces() computes all forces for the current positions and velocities.
*/
compute_forces();
// x(t) v(t-h)
for (std::vector<Particle>::iterator p_it = body_.particles.begin (); p_it != body_.particles.end (); ++p_it)
if (!p_it->locked)
{
vec2 a = p_it->force / p_it->mass;
p_it->velocity += 0.5*dt*(p_it->acceleration + a);
// x(t) v(t)
p_it->position += dt*p_it->velocity + 0.5*dt*dt*a;
p_it->acceleration = a;
}
break;
}
case Implicit:
{
/// The usual force computation method is called, and then the jacobian matrix dF/dx is calculated
compute_forces ();
compute_jacobians ();
/// Finally the linear system is composed and solved
solver_.solve (dt, particle_mass_, body_.particles);
break;
}
}
// impulse-based collision handling
if (collisions_ == Impulse_based)
{
impulse_based_collisions();
}
// E_c = 1/2 m*v^2
float total_E = 0.0f;
for (std::vector<Particle>::iterator p_it = body_.particles.begin (); p_it != body_.particles.end (); ++p_it)
total_E += 0.5 * p_it->mass * dot(p_it->velocity, p_it->velocity);
log_file << total_E << "\n";
glutPostRedisplay();
}
