void
BoxDeformation::apply(ArrayRef<RVec> x,
matrix box,
int64_t step)
{
matrix updatedBox, invbox, mu;
double elapsedTime = (step + 1 - initialStep_) * timeStep_;
copy_mat(box, updatedBox);
for (int i = 0; i < DIM; i++)
{
for (int j = 0; j < DIM; j++)
{
if (deformationTensor_[i][j] != 0)
{
updatedBox[i][j] =
referenceBox_[i][j] + elapsedTime * deformationTensor_[i][j];
}
}
}
/* We correct the off-diagonal elements,
* which can grow indefinitely during shearing,
* so the shifts do not get messed up.
*/
for (int i = 1; i < DIM; i++)
{
for (int j = i-1; j >= 0; j--)
{
while (updatedBox[i][j] - box[i][j] > 0.5 * updatedBox[j][j])
{
rvec_dec(updatedBox[i], updatedBox[j]);
}
while (updatedBox[i][j] - box[i][j] < -0.5 * updatedBox[j][j])
{
rvec_inc(updatedBox[i], updatedBox[j]);
}
}
}
invertBoxMatrix(box, invbox);
// Return the updated box
copy_mat(updatedBox, box);
mmul_ur0(box, invbox, mu);
for (auto &thisX : x)
{
thisX[XX] = mu[XX][XX]*thisX[XX] + mu[YY][XX]*thisX[YY] + mu[ZZ][XX]*thisX[ZZ];
thisX[YY] = mu[YY][YY]*thisX[YY] + mu[ZZ][YY]*thisX[ZZ];
thisX[ZZ] = mu[ZZ][ZZ]*thisX[ZZ];
}
}
int gmx_vanhove(int argc,char *argv[])
{
const char *desc[] = {
"g_vanhove computes the Van Hove correlation function.",
"The Van Hove G(r,t) is the probability that a particle that is at r0",
"at time zero can be found at position r0+r at time t.",
"g_vanhove determines G not for a vector r, but for the length of r.",
"Thus it gives the probability that a particle moves a distance of r",
"in time t.",
"Jumps across the periodic boundaries are removed.",
"Corrections are made for scaling due to isotropic",
"or anisotropic pressure coupling.",
"[PAR]",
"With option [TT]-om[tt] the whole matrix can be written as a function",
"of t and r or as a function of sqrt(t) and r (option [TT]-sqrt[tt]).",
"[PAR]",
"With option [TT]-or[tt] the Van Hove function is plotted for one",
"or more values of t. Option [TT]-nr[tt] sets the number of times,",
"option [TT]-fr[tt] the number spacing between the times.",
"The binwidth is set with option [TT]-rbin[tt]. The number of bins",
"is determined automatically.",
"[PAR]",
"With option [TT]-ot[tt] the integral up to a certain distance",
"(option [TT]-rt[tt]) is plotted as a function of time.",
"[PAR]",
"For all frames that are read the coordinates of the selected particles",
"are stored in memory. Therefore the program may use a lot of memory.",
"For options [TT]-om[tt] and [TT]-ot[tt] the program may be slow.",
"This is because the calculation scales as the number of frames times",
"[TT]-fm[tt] or [TT]-ft[tt].",
"Note that with the [TT]-dt[tt] option the memory usage and calculation",
"time can be reduced."
};
static int fmmax=0,ftmax=0,nlev=81,nr=1,fshift=0;
static real sbin=0,rmax=2,rbin=0.01,mmax=0,rint=0;
t_pargs pa[] = {
{ "-sqrt", FALSE, etREAL,{&sbin},
"Use sqrt(t) on the matrix axis which binspacing # in sqrt(ps)" },
{ "-fm", FALSE, etINT, {&fmmax},
"Number of frames in the matrix, 0 is plot all" },
{ "-rmax", FALSE, etREAL, {&rmax},
"Maximum r in the matrix (nm)" },
{ "-rbin", FALSE, etREAL, {&rbin},
"Binwidth in the matrix and for -or (nm)" },
{ "-mmax", FALSE, etREAL, {&mmax},
"Maximum density in the matrix, 0 is calculate (1/nm)" },
{ "-nlevels" ,FALSE, etINT, {&nlev},
"Number of levels in the matrix" },
{ "-nr", FALSE, etINT, {&nr},
"Number of curves for the -or output" },
{ "-fr", FALSE, etINT, {&fshift},
"Frame spacing for the -or output" },
{ "-rt", FALSE, etREAL, {&rint},
"Integration limit for the -ot output (nm)" },
{ "-ft", FALSE, etINT, {&ftmax},
"Number of frames in the -ot output, 0 is plot all" }
};
#define NPA asize(pa)
t_filenm fnm[] = {
{ efTRX, NULL, NULL, ffREAD },
{ efTPS, NULL, NULL, ffREAD },
{ efNDX, NULL, NULL, ffOPTRD },
{ efXPM, "-om", "vanhove", ffOPTWR },
{ efXVG, "-or", "vanhove_r", ffOPTWR },
{ efXVG, "-ot", "vanhove_t", ffOPTWR }
};
#define NFILE asize(fnm)
output_env_t oenv;
const char *matfile,*otfile,*orfile;
char title[256];
t_topology top;
int ePBC;
matrix boxtop,box,*sbox,avbox,corr;
rvec *xtop,*x,**sx;
int isize,nalloc,nallocn,natom;
t_trxstatus *status;
atom_id *index;
char *grpname;
int nfr,f,ff,i,m,mat_nx=0,nbin=0,bin,mbin,fbin;
real *time,t,invbin=0,rmax2=0,rint2=0,d2;
real invsbin=0,matmax,normfac,dt,*tickx,*ticky;
char buf[STRLEN],**legend;
real **mat=NULL;
int *pt=NULL,**pr=NULL,*mcount=NULL,*tcount=NULL,*rcount=NULL;
FILE *fp;
t_rgb rlo={1,1,1}, rhi={0,0,0};
CopyRight(stderr,argv[0]);
parse_common_args(&argc,argv,PCA_CAN_VIEW | PCA_CAN_TIME | PCA_BE_NICE,
NFILE,fnm,asize(pa),pa,asize(desc),desc,0,NULL,&oenv);
matfile = opt2fn_null("-om",NFILE,fnm);
if (opt2parg_bSet("-fr",NPA,pa))
orfile = opt2fn("-or",NFILE,fnm);
else
orfile = opt2fn_null("-or",NFILE,fnm);
if (opt2parg_bSet("-rt",NPA,pa))
otfile = opt2fn("-ot",NFILE,fnm);
else
otfile = opt2fn_null("-ot",NFILE,fnm);
if (!matfile && !otfile && !orfile) {
fprintf(stderr,
"For output set one (or more) of the output file options\n");
exit(0);
}
read_tps_conf(ftp2fn(efTPS,NFILE,fnm),title,&top,&ePBC,&xtop,NULL,boxtop,
FALSE);
get_index(&top.atoms,ftp2fn_null(efNDX,NFILE,fnm),1,&isize,&index,&grpname);
nalloc = 0;
time = NULL;
sbox = NULL;
sx = NULL;
clear_mat(avbox);
natom=read_first_x(oenv,&status,ftp2fn(efTRX,NFILE,fnm),&t,&x,box);
nfr = 0;
do {
if (nfr >= nalloc) {
nalloc += 100;
srenew(time,nalloc);
srenew(sbox,nalloc);
srenew(sx,nalloc);
}
time[nfr] = t;
copy_mat(box,sbox[nfr]);
/* This assumes that the off-diagonal box elements
* are not affected by jumps across the periodic boundaries.
*/
m_add(avbox,box,avbox);
snew(sx[nfr],isize);
for(i=0; i<isize; i++)
copy_rvec(x[index[i]],sx[nfr][i]);
nfr++;
} while (read_next_x(oenv,status,&t,natom,x,box));
/* clean up */
sfree(x);
close_trj(status);
fprintf(stderr,"Read %d frames\n",nfr);
dt = (time[nfr-1] - time[0])/(nfr - 1);
/* Some ugly rounding to get nice nice times in the output */
dt = (int)(10000.0*dt + 0.5)/10000.0;
invbin = 1.0/rbin;
if (matfile) {
if (fmmax <= 0 || fmmax >= nfr)
fmmax = nfr - 1;
snew(mcount,fmmax);
nbin = (int)(rmax*invbin + 0.5);
if (sbin == 0) {
mat_nx = fmmax + 1;
} else {
invsbin = 1.0/sbin;
mat_nx = sqrt(fmmax*dt)*invsbin + 1;
}
snew(mat,mat_nx);
for(f=0; f<mat_nx; f++)
snew(mat[f],nbin);
rmax2 = sqr(nbin*rbin);
/* Initialize time zero */
mat[0][0] = nfr*isize;
mcount[0] += nfr;
} else {
fmmax = 0;
}
if (orfile) {
snew(pr,nr);
nalloc = 0;
snew(rcount,nr);
}
if (otfile) {
if (ftmax <= 0)
ftmax = nfr - 1;
snew(tcount,ftmax);
snew(pt,nfr);
rint2 = rint*rint;
/* Initialize time zero */
pt[0] = nfr*isize;
tcount[0] += nfr;
} else {
ftmax = 0;
}
msmul(avbox,1.0/nfr,avbox);
for(f=0; f<nfr; f++) {
if (f % 100 == 0)
fprintf(stderr,"\rProcessing frame %d",f);
/* Scale all the configuration to the average box */
m_inv_ur0(sbox[f],corr);
mmul_ur0(avbox,corr,corr);
for(i=0; i<isize; i++) {
mvmul_ur0(corr,sx[f][i],sx[f][i]);
if (f > 0) {
/* Correct for periodic jumps */
for(m=DIM-1; m>=0; m--) {
while(sx[f][i][m] - sx[f-1][i][m] > 0.5*avbox[m][m])
rvec_dec(sx[f][i],avbox[m]);
while(sx[f][i][m] - sx[f-1][i][m] <= -0.5*avbox[m][m])
rvec_inc(sx[f][i],avbox[m]);
}
}
}
for(ff=0; ff<f; ff++) {
fbin = f - ff;
if (fbin <= fmmax || fbin <= ftmax) {
if (sbin == 0)
mbin = fbin;
else
mbin = (int)(sqrt(fbin*dt)*invsbin + 0.5);
for(i=0; i<isize; i++) {
d2 = distance2(sx[f][i],sx[ff][i]);
if (mbin < mat_nx && d2 < rmax2) {
bin = (int)(sqrt(d2)*invbin + 0.5);
if (bin < nbin) {
mat[mbin][bin] += 1;
}
}
if (fbin <= ftmax && d2 <= rint2)
pt[fbin]++;
}
if (matfile)
mcount[mbin]++;
if (otfile)
tcount[fbin]++;
}
}
if (orfile) {
for(fbin=0; fbin<nr; fbin++) {
ff = f - (fbin + 1)*fshift;
if (ff >= 0) {
for(i=0; i<isize; i++) {
d2 = distance2(sx[f][i],sx[ff][i]);
bin = (int)(sqrt(d2)*invbin);
if (bin >= nalloc) {
nallocn = 10*(bin/10) + 11;
for(m=0; m<nr; m++) {
srenew(pr[m],nallocn);
for(i=nalloc; i<nallocn; i++)
pr[m][i] = 0;
}
nalloc = nallocn;
}
pr[fbin][bin]++;
}
rcount[fbin]++;
}
}
}
}
fprintf(stderr,"\n");
if (matfile) {
matmax = 0;
for(f=0; f<mat_nx; f++) {
normfac = 1.0/(mcount[f]*isize*rbin);
for(i=0; i<nbin; i++) {
mat[f][i] *= normfac;
if (mat[f][i] > matmax && (f!=0 || i!=0))
matmax = mat[f][i];
}
}
fprintf(stdout,"Value at (0,0): %.3f, maximum of the rest %.3f\n",
mat[0][0],matmax);
if (mmax > 0)
matmax = mmax;
snew(tickx,mat_nx);
for(f=0; f<mat_nx; f++) {
if (sbin == 0)
tickx[f] = f*dt;
else
tickx[f] = f*sbin;
}
snew(ticky,nbin+1);
for(i=0; i<=nbin; i++)
ticky[i] = i*rbin;
fp = ffopen(matfile,"w");
write_xpm(fp,MAT_SPATIAL_Y,"Van Hove function","G (1/nm)",
sbin==0 ? "time (ps)" : "sqrt(time) (ps^1/2)","r (nm)",
mat_nx,nbin,tickx,ticky,mat,0,matmax,rlo,rhi,&nlev);
ffclose(fp);
}
if (orfile) {
fp = xvgropen(orfile,"Van Hove function","r (nm)","G (nm\\S-1\\N)",oenv);
fprintf(fp,"@ subtitle \"for particles in group %s\"\n",grpname);
snew(legend,nr);
for(fbin=0; fbin<nr; fbin++) {
sprintf(buf,"%g ps",(fbin + 1)*fshift*dt);
legend[fbin] = strdup(buf);
}
xvgr_legend(fp,nr,(const char**)legend,oenv);
for(i=0; i<nalloc; i++) {
fprintf(fp,"%g",i*rbin);
for(fbin=0; fbin<nr; fbin++)
fprintf(fp," %g",
(real)pr[fbin][i]/(rcount[fbin]*isize*rbin*(i==0 ? 0.5 : 1)));
fprintf(fp,"\n");
}
ffclose(fp);
}
if (otfile) {
sprintf(buf,"Probability of moving less than %g nm",rint);
fp = xvgropen(otfile,buf,"t (ps)","",oenv);
fprintf(fp,"@ subtitle \"for particles in group %s\"\n",grpname);
for(f=0; f<=ftmax; f++)
fprintf(fp,"%g %g\n",f*dt,(real)pt[f]/(tcount[f]*isize));
ffclose(fp);
}
do_view(oenv, matfile,NULL);
do_view(oenv, orfile,NULL);
do_view(oenv, otfile,NULL);
thanx(stderr);
return 0;
}
void parrinellorahman_pcoupl(FILE *fplog,gmx_step_t step,
t_inputrec *ir,real dt,tensor pres,
tensor box,tensor box_rel,tensor boxv,
tensor M,matrix mu,bool bFirstStep)
{
/* This doesn't do any coordinate updating. It just
* integrates the box vector equations from the calculated
* acceleration due to pressure difference. We also compute
* the tensor M which is used in update to couple the particle
* coordinates to the box vectors.
*
* In Nose and Klein (Mol.Phys 50 (1983) no 5., p 1055) this is
* given as
* -1 . . -1
* M_nk = (h') * (h' * h + h' h) * h
*
* with the dots denoting time derivatives and h is the transformation from
* the scaled frame to the real frame, i.e. the TRANSPOSE of the box.
* This also goes for the pressure and M tensors - they are transposed relative
* to ours. Our equation thus becomes:
*
* -1 . . -1
* M_gmx = M_nk' = b * (b * b' + b * b') * b'
*
* where b is the gromacs box matrix.
* Our box accelerations are given by
* .. ..
* b = vol/W inv(box') * (P-ref_P) (=h')
*/
int d,n;
tensor winv;
real vol=box[XX][XX]*box[YY][YY]*box[ZZ][ZZ];
real atot,arel,change,maxchange,xy_pressure;
tensor invbox,pdiff,t1,t2;
real maxl;
m_inv_ur0(box,invbox);
if (!bFirstStep) {
/* Note that PRESFAC does not occur here.
* The pressure and compressibility always occur as a product,
* therefore the pressure unit drops out.
*/
maxl=max(box[XX][XX],box[YY][YY]);
maxl=max(maxl,box[ZZ][ZZ]);
for(d=0;d<DIM;d++)
for(n=0;n<DIM;n++)
winv[d][n]=
(4*M_PI*M_PI*ir->compress[d][n])/(3*ir->tau_p*ir->tau_p*maxl);
m_sub(pres,ir->ref_p,pdiff);
if(ir->epct==epctSURFACETENSION) {
/* Unlike Berendsen coupling it might not be trivial to include a z
* pressure correction here? On the other hand we don't scale the
* box momentarily, but change accelerations, so it might not be crucial.
*/
xy_pressure=0.5*(pres[XX][XX]+pres[YY][YY]);
for(d=0;d<ZZ;d++)
pdiff[d][d]=(xy_pressure-(pres[ZZ][ZZ]-ir->ref_p[d][d]/box[d][d]));
}
tmmul(invbox,pdiff,t1);
/* Move the off-diagonal elements of the 'force' to one side to ensure
* that we obey the box constraints.
*/
for(d=0;d<DIM;d++) {
for(n=0;n<d;n++) {
t1[d][n] += t1[n][d];
t1[n][d] = 0;
}
}
switch (ir->epct) {
case epctANISOTROPIC:
for(d=0;d<DIM;d++)
for(n=0;n<=d;n++)
t1[d][n] *= winv[d][n]*vol;
break;
case epctISOTROPIC:
/* calculate total volume acceleration */
atot=box[XX][XX]*box[YY][YY]*t1[ZZ][ZZ]+
box[XX][XX]*t1[YY][YY]*box[ZZ][ZZ]+
t1[XX][XX]*box[YY][YY]*box[ZZ][ZZ];
arel=atot/(3*vol);
/* set all RELATIVE box accelerations equal, and maintain total V
* change speed */
for(d=0;d<DIM;d++)
for(n=0;n<=d;n++)
t1[d][n] = winv[0][0]*vol*arel*box[d][n];
break;
case epctSEMIISOTROPIC:
case epctSURFACETENSION:
/* Note the correction to pdiff above for surftens. coupling */
/* calculate total XY volume acceleration */
atot=box[XX][XX]*t1[YY][YY]+t1[XX][XX]*box[YY][YY];
arel=atot/(2*box[XX][XX]*box[YY][YY]);
/* set RELATIVE XY box accelerations equal, and maintain total V
* change speed. Dont change the third box vector accelerations */
for(d=0;d<ZZ;d++)
for(n=0;n<=d;n++)
t1[d][n] = winv[d][n]*vol*arel*box[d][n];
for(n=0;n<DIM;n++)
t1[ZZ][n] *= winv[d][n]*vol;
break;
default:
gmx_fatal(FARGS,"Parrinello-Rahman pressure coupling type %s "
"not supported yet\n",EPCOUPLTYPETYPE(ir->epct));
break;
}
maxchange=0;
for(d=0;d<DIM;d++)
for(n=0;n<=d;n++) {
boxv[d][n] += dt*t1[d][n];
/* We do NOT update the box vectors themselves here, since
* we need them for shifting later. It is instead done last
* in the update() routine.
*/
/* Calculate the change relative to diagonal elements -
* since it's perfectly ok for the off-diagonal ones to
* be zero it doesn't make sense to check the change relative
* to its current size.
*/
change=fabs(dt*boxv[d][n]/box[d][d]);
if(change>maxchange)
maxchange=change;
}
if (maxchange > 0.01 && fplog) {
char buf[22];
fprintf(fplog,"\nStep %s Warning: Pressure scaling more than 1%%.\n",
gmx_step_str(step,buf));
}
}
preserve_box_shape(ir,box_rel,boxv);
mtmul(boxv,box,t1); /* t1=boxv * b' */
mmul(invbox,t1,t2);
mtmul(t2,invbox,M);
/* Determine the scaling matrix mu for the coordinates */
for(d=0;d<DIM;d++)
for(n=0;n<=d;n++)
t1[d][n] = box[d][n] + dt*boxv[d][n];
preserve_box_shape(ir,box_rel,t1);
/* t1 is the box at t+dt, determine mu as the relative change */
mmul_ur0(invbox,t1,mu);
}
