int gmx_nmeig(int argc, char *argv[])
{
const char *desc[] = {
"[TT]g_nmeig[tt] calculates the eigenvectors/values of a (Hessian) matrix,",
"which can be calculated with [TT]mdrun[tt].",
"The eigenvectors are written to a trajectory file ([TT]-v[tt]).",
"The structure is written first with t=0. The eigenvectors",
"are written as frames with the eigenvector number as timestamp.",
"The eigenvectors can be analyzed with [TT]g_anaeig[tt].",
"An ensemble of structures can be generated from the eigenvectors with",
"[TT]g_nmens[tt]. When mass weighting is used, the generated eigenvectors",
"will be scaled back to plain Cartesian coordinates before generating the",
"output. In this case, they will no longer be exactly orthogonal in the",
"standard Cartesian norm, but in the mass-weighted norm they would be.[PAR]",
"This program can be optionally used to compute quantum corrections to heat capacity",
"and enthalpy by providing an extra file argument [TT]-qcorr[tt]. See the GROMACS",
"manual, Chapter 1, for details. The result includes subtracting a harmonic",
"degree of freedom at the given temperature.",
"The total correction is printed on the terminal screen.",
"The recommended way of getting the corrections out is:[PAR]",
"[TT]g_nmeig -s topol.tpr -f nm.mtx -first 7 -last 10000 -T 300 -qc [-constr][tt][PAR]",
"The [TT]-constr[tt] option should be used when bond constraints were used during the",
"simulation [BB]for all the covalent bonds[bb]. If this is not the case, ",
"you need to analyze the [TT]quant_corr.xvg[tt] file yourself.[PAR]",
"To make things more flexible, the program can also take virtual sites into account",
"when computing quantum corrections. When selecting [TT]-constr[tt] and",
"[TT]-qc[tt], the [TT]-begin[tt] and [TT]-end[tt] options will be set automatically as well.",
"Again, if you think you know it better, please check the [TT]eigenfreq.xvg[tt]",
"output."
};
static gmx_bool bM = TRUE, bCons = FALSE;
static int begin = 1, end = 50, maxspec = 4000;
static real T = 298.15, width = 1;
t_pargs pa[] =
{
{ "-m", FALSE, etBOOL, {&bM},
"Divide elements of Hessian by product of sqrt(mass) of involved "
"atoms prior to diagonalization. This should be used for 'Normal Modes' "
"analysis" },
{ "-first", FALSE, etINT, {&begin},
"First eigenvector to write away" },
{ "-last", FALSE, etINT, {&end},
"Last eigenvector to write away" },
{ "-maxspec", FALSE, etINT, {&maxspec},
"Highest frequency (1/cm) to consider in the spectrum" },
{ "-T", FALSE, etREAL, {&T},
"Temperature for computing quantum heat capacity and enthalpy when using normal mode calculations to correct classical simulations" },
{ "-constr", FALSE, etBOOL, {&bCons},
"If constraints were used in the simulation but not in the normal mode analysis (this is the recommended way of doing it) you will need to set this for computing the quantum corrections." },
{ "-width", FALSE, etREAL, {&width},
"Width (sigma) of the gaussian peaks (1/cm) when generating a spectrum" }
};
FILE *out, *qc, *spec;
int status, trjout;
t_topology top;
gmx_mtop_t mtop;
int ePBC;
rvec *top_x;
matrix box;
real *eigenvalues;
real *eigenvectors;
real rdum, mass_fac, qcvtot, qutot, qcv, qu;
int natoms, ndim, nrow, ncol, count, nharm, nvsite;
char *grpname;
int i, j, k, l, d, gnx;
gmx_bool bSuck;
atom_id *index;
t_tpxheader tpx;
int version, generation;
real value, omega, nu;
real factor_gmx_to_omega2;
real factor_omega_to_wavenumber;
real *spectrum = NULL;
real wfac;
output_env_t oenv;
const char *qcleg[] = {
"Heat Capacity cV (J/mol K)",
"Enthalpy H (kJ/mol)"
};
real * full_hessian = NULL;
gmx_sparsematrix_t * sparse_hessian = NULL;
t_filenm fnm[] = {
{ efMTX, "-f", "hessian", ffREAD },
{ efTPX, NULL, NULL, ffREAD },
{ efXVG, "-of", "eigenfreq", ffWRITE },
{ efXVG, "-ol", "eigenval", ffWRITE },
{ efXVG, "-os", "spectrum", ffOPTWR },
{ efXVG, "-qc", "quant_corr", ffOPTWR },
{ efTRN, "-v", "eigenvec", ffWRITE }
};
#define NFILE asize(fnm)
parse_common_args(&argc, argv, PCA_BE_NICE,
NFILE, fnm, asize(pa), pa, asize(desc), desc, 0, NULL, &oenv);
/* Read tpr file for volume and number of harmonic terms */
read_tpxheader(ftp2fn(efTPX, NFILE, fnm), &tpx, TRUE, &version, &generation);
snew(top_x, tpx.natoms);
read_tpx(ftp2fn(efTPX, NFILE, fnm), NULL, box, &natoms,
top_x, NULL, NULL, &mtop);
if (bCons)
{
nharm = get_nharm(&mtop, &nvsite);
}
else
{
nharm = 0;
nvsite = 0;
}
top = gmx_mtop_t_to_t_topology(&mtop);
bM = TRUE;
ndim = DIM*natoms;
if (opt2bSet("-qc", NFILE, fnm))
{
begin = 7+DIM*nvsite;
end = DIM*natoms;
}
if (begin < 1)
{
begin = 1;
}
if (end > ndim)
{
end = ndim;
}
printf("Using begin = %d and end = %d\n", begin, end);
/*open Hessian matrix */
gmx_mtxio_read(ftp2fn(efMTX, NFILE, fnm), &nrow, &ncol, &full_hessian, &sparse_hessian);
/* Memory for eigenvalues and eigenvectors (begin..end) */
snew(eigenvalues, nrow);
snew(eigenvectors, nrow*(end-begin+1));
/* If the Hessian is in sparse format we can calculate max (ndim-1) eigenvectors,
* and they must start at the first one. If this is not valid we convert to full matrix
* storage, but warn the user that we might run out of memory...
*/
if ((sparse_hessian != NULL) && (begin != 1 || end == ndim))
{
if (begin != 1)
{
fprintf(stderr, "Cannot use sparse Hessian with first eigenvector != 1.\n");
}
else if (end == ndim)
{
fprintf(stderr, "Cannot use sparse Hessian to calculate all eigenvectors.\n");
}
fprintf(stderr, "Will try to allocate memory and convert to full matrix representation...\n");
snew(full_hessian, nrow*ncol);
for (i = 0; i < nrow*ncol; i++)
{
full_hessian[i] = 0;
}
for (i = 0; i < sparse_hessian->nrow; i++)
{
for (j = 0; j < sparse_hessian->ndata[i]; j++)
{
k = sparse_hessian->data[i][j].col;
value = sparse_hessian->data[i][j].value;
full_hessian[i*ndim+k] = value;
full_hessian[k*ndim+i] = value;
}
}
gmx_sparsematrix_destroy(sparse_hessian);
sparse_hessian = NULL;
fprintf(stderr, "Converted sparse to full matrix storage.\n");
}
if (full_hessian != NULL)
{
/* Using full matrix storage */
nma_full_hessian(full_hessian, nrow, bM, &top, begin, end,
eigenvalues, eigenvectors);
}
else
{
/* Sparse memory storage, allocate memory for eigenvectors */
snew(eigenvectors, ncol*end);
nma_sparse_hessian(sparse_hessian, bM, &top, end, eigenvalues, eigenvectors);
}
/* check the output, first 6 eigenvalues should be reasonably small */
bSuck = FALSE;
for (i = begin-1; (i < 6); i++)
{
if (fabs(eigenvalues[i]) > 1.0e-3)
{
bSuck = TRUE;
}
}
if (bSuck)
{
fprintf(stderr, "\nOne of the lowest 6 eigenvalues has a non-zero value.\n");
fprintf(stderr, "This could mean that the reference structure was not\n");
fprintf(stderr, "properly energy minimized.\n");
}
/* now write the output */
fprintf (stderr, "Writing eigenvalues...\n");
out = xvgropen(opt2fn("-ol", NFILE, fnm),
"Eigenvalues", "Eigenvalue index", "Eigenvalue [Gromacs units]",
oenv);
if (output_env_get_print_xvgr_codes(oenv))
{
if (bM)
{
fprintf(out, "@ subtitle \"mass weighted\"\n");
}
else
{
fprintf(out, "@ subtitle \"not mass weighted\"\n");
}
}
for (i = 0; i <= (end-begin); i++)
{
fprintf (out, "%6d %15g\n", begin+i, eigenvalues[i]);
}
ffclose(out);
if (opt2bSet("-qc", NFILE, fnm))
{
qc = xvgropen(opt2fn("-qc", NFILE, fnm), "Quantum Corrections", "Eigenvector index", "", oenv);
xvgr_legend(qc, asize(qcleg), qcleg, oenv);
qcvtot = qutot = 0;
}
else
{
qc = NULL;
}
printf("Writing eigenfrequencies - negative eigenvalues will be set to zero.\n");
out = xvgropen(opt2fn("-of", NFILE, fnm),
"Eigenfrequencies", "Eigenvector index", "Wavenumber [cm\\S-1\\N]",
oenv);
if (output_env_get_print_xvgr_codes(oenv))
{
if (bM)
{
fprintf(out, "@ subtitle \"mass weighted\"\n");
}
else
{
fprintf(out, "@ subtitle \"not mass weighted\"\n");
}
}
/* Spectrum ? */
spec = NULL;
if (opt2bSet("-os", NFILE, fnm) && (maxspec > 0))
{
snew(spectrum, maxspec);
spec = xvgropen(opt2fn("-os", NFILE, fnm),
"Vibrational spectrum based on harmonic approximation",
"\\f{12}w\\f{4} (cm\\S-1\\N)",
"Intensity [Gromacs units]",
oenv);
for (i = 0; (i < maxspec); i++)
{
spectrum[i] = 0;
}
}
/* Gromacs units are kJ/(mol*nm*nm*amu),
* where amu is the atomic mass unit.
*
* For the eigenfrequencies we want to convert this to spectroscopic absorption
* wavenumbers given in cm^(-1), which is the frequency divided by the speed of
* light. Do this by first converting to omega^2 (units 1/s), take the square
* root, and finally divide by the speed of light (nm/ps in gromacs).
*/
factor_gmx_to_omega2 = 1.0E21/(AVOGADRO*AMU);
factor_omega_to_wavenumber = 1.0E-5/(2.0*M_PI*SPEED_OF_LIGHT);
for (i = begin; (i <= end); i++)
{
value = eigenvalues[i-begin];
if (value < 0)
{
value = 0;
}
omega = sqrt(value*factor_gmx_to_omega2);
nu = 1e-12*omega/(2*M_PI);
value = omega*factor_omega_to_wavenumber;
fprintf (out, "%6d %15g\n", i, value);
if (NULL != spec)
{
wfac = eigenvalues[i-begin]/(width*sqrt(2*M_PI));
for (j = 0; (j < maxspec); j++)
{
spectrum[j] += wfac*exp(-sqr(j-value)/(2*sqr(width)));
}
}
if (NULL != qc)
{
qcv = cv_corr(nu, T);
qu = u_corr(nu, T);
if (i > end-nharm)
{
qcv += BOLTZ*KILO;
qu += BOLTZ*T;
}
fprintf (qc, "%6d %15g %15g\n", i, qcv, qu);
qcvtot += qcv;
qutot += qu;
}
}
ffclose(out);
if (NULL != spec)
{
for (j = 0; (j < maxspec); j++)
{
fprintf(spec, "%10g %10g\n", 1.0*j, spectrum[j]);
}
ffclose(spec);
}
if (NULL != qc)
{
printf("Quantum corrections for harmonic degrees of freedom\n");
printf("Use appropriate -first and -last options to get reliable results.\n");
printf("There were %d constraints and %d vsites in the simulation\n",
nharm, nvsite);
printf("Total correction to cV = %g J/mol K\n", qcvtot);
printf("Total correction to H = %g kJ/mol\n", qutot);
ffclose(qc);
please_cite(stdout, "Caleman2011b");
}
/* Writing eigenvectors. Note that if mass scaling was used, the eigenvectors
* were scaled back from mass weighted cartesian to plain cartesian in the
* nma_full_hessian() or nma_sparse_hessian() routines. Mass scaled vectors
* will not be strictly orthogonal in plain cartesian scalar products.
*/
write_eigenvectors(opt2fn("-v", NFILE, fnm), natoms, eigenvectors, FALSE, begin, end,
eWXR_NO, NULL, FALSE, top_x, bM, eigenvalues);
thanx(stderr);
return 0;
}
int gmx_covar(int argc,char *argv[])
{
const char *desc[] = {
"[TT]g_covar[tt] calculates and diagonalizes the (mass-weighted)",
"covariance matrix.",
"All structures are fitted to the structure in the structure file.",
"When this is not a run input file periodicity will not be taken into",
"account. When the fit and analysis groups are identical and the analysis",
"is non mass-weighted, the fit will also be non mass-weighted.",
"[PAR]",
"The eigenvectors are written to a trajectory file ([TT]-v[tt]).",
"When the same atoms are used for the fit and the covariance analysis,",
"the reference structure for the fit is written first with t=-1.",
"The average (or reference when [TT]-ref[tt] is used) structure is",
"written with t=0, the eigenvectors",
"are written as frames with the eigenvector number as timestamp.",
"[PAR]",
"The eigenvectors can be analyzed with [TT]g_anaeig[tt].",
"[PAR]",
"Option [TT]-ascii[tt] writes the whole covariance matrix to",
"an ASCII file. The order of the elements is: x1x1, x1y1, x1z1, x1x2, ...",
"[PAR]",
"Option [TT]-xpm[tt] writes the whole covariance matrix to an [TT].xpm[tt] file.",
"[PAR]",
"Option [TT]-xpma[tt] writes the atomic covariance matrix to an [TT].xpm[tt] file,",
"i.e. for each atom pair the sum of the xx, yy and zz covariances is",
"written.",
"[PAR]",
"Note that the diagonalization of a matrix requires memory and time",
"that will increase at least as fast as than the square of the number",
"of atoms involved. It is easy to run out of memory, in which",
"case this tool will probably exit with a 'Segmentation fault'. You",
"should consider carefully whether a reduced set of atoms will meet",
"your needs for lower costs."
};
static gmx_bool bFit=TRUE,bRef=FALSE,bM=FALSE,bPBC=TRUE;
static int end=-1;
t_pargs pa[] = {
{ "-fit", FALSE, etBOOL, {&bFit},
"Fit to a reference structure"},
{ "-ref", FALSE, etBOOL, {&bRef},
"Use the deviation from the conformation in the structure file instead of from the average" },
{ "-mwa", FALSE, etBOOL, {&bM},
"Mass-weighted covariance analysis"},
{ "-last", FALSE, etINT, {&end},
"Last eigenvector to write away (-1 is till the last)" },
{ "-pbc", FALSE, etBOOL, {&bPBC},
"Apply corrections for periodic boundary conditions" }
};
FILE *out;
t_trxstatus *status;
t_trxstatus *trjout;
t_topology top;
int ePBC;
t_atoms *atoms;
rvec *x,*xread,*xref,*xav,*xproj;
matrix box,zerobox;
real *sqrtm,*mat,*eigval,sum,trace,inv_nframes;
real t,tstart,tend,**mat2;
real xj,*w_rls=NULL;
real min,max,*axis;
int ntopatoms,step;
int natoms,nat,count,nframes0,nframes,nlevels;
gmx_large_int_t ndim,i,j,k,l;
int WriteXref;
const char *fitfile,*trxfile,*ndxfile;
const char *eigvalfile,*eigvecfile,*averfile,*logfile;
const char *asciifile,*xpmfile,*xpmafile;
char str[STRLEN],*fitname,*ananame,*pcwd;
int d,dj,nfit;
atom_id *index,*ifit;
gmx_bool bDiffMass1,bDiffMass2;
time_t now;
char timebuf[STRLEN];
t_rgb rlo,rmi,rhi;
real *tmp;
output_env_t oenv;
gmx_rmpbc_t gpbc=NULL;
t_filenm fnm[] = {
{ efTRX, "-f", NULL, ffREAD },
{ efTPS, NULL, NULL, ffREAD },
{ efNDX, NULL, NULL, ffOPTRD },
{ efXVG, NULL, "eigenval", ffWRITE },
{ efTRN, "-v", "eigenvec", ffWRITE },
{ efSTO, "-av", "average.pdb", ffWRITE },
{ efLOG, NULL, "covar", ffWRITE },
{ efDAT, "-ascii","covar", ffOPTWR },
{ efXPM, "-xpm","covar", ffOPTWR },
{ efXPM, "-xpma","covara", ffOPTWR }
};
#define NFILE asize(fnm)
CopyRight(stderr,argv[0]);
parse_common_args(&argc,argv,PCA_CAN_TIME | PCA_TIME_UNIT | PCA_BE_NICE,
NFILE,fnm,asize(pa),pa,asize(desc),desc,0,NULL,&oenv);
clear_mat(zerobox);
fitfile = ftp2fn(efTPS,NFILE,fnm);
trxfile = ftp2fn(efTRX,NFILE,fnm);
ndxfile = ftp2fn_null(efNDX,NFILE,fnm);
eigvalfile = ftp2fn(efXVG,NFILE,fnm);
eigvecfile = ftp2fn(efTRN,NFILE,fnm);
averfile = ftp2fn(efSTO,NFILE,fnm);
logfile = ftp2fn(efLOG,NFILE,fnm);
asciifile = opt2fn_null("-ascii",NFILE,fnm);
xpmfile = opt2fn_null("-xpm",NFILE,fnm);
xpmafile = opt2fn_null("-xpma",NFILE,fnm);
read_tps_conf(fitfile,str,&top,&ePBC,&xref,NULL,box,TRUE);
atoms=&top.atoms;
if (bFit) {
printf("\nChoose a group for the least squares fit\n");
get_index(atoms,ndxfile,1,&nfit,&ifit,&fitname);
if (nfit < 3)
gmx_fatal(FARGS,"Need >= 3 points to fit!\n");
} else
nfit=0;
printf("\nChoose a group for the covariance analysis\n");
get_index(atoms,ndxfile,1,&natoms,&index,&ananame);
bDiffMass1=FALSE;
if (bFit) {
snew(w_rls,atoms->nr);
for(i=0; (i<nfit); i++) {
w_rls[ifit[i]]=atoms->atom[ifit[i]].m;
if (i)
bDiffMass1 = bDiffMass1 || (w_rls[ifit[i]]!=w_rls[ifit[i-1]]);
}
}
bDiffMass2=FALSE;
snew(sqrtm,natoms);
for(i=0; (i<natoms); i++)
if (bM) {
sqrtm[i]=sqrt(atoms->atom[index[i]].m);
if (i)
bDiffMass2 = bDiffMass2 || (sqrtm[i]!=sqrtm[i-1]);
}
else
sqrtm[i]=1.0;
if (bFit && bDiffMass1 && !bDiffMass2) {
bDiffMass1 = natoms != nfit;
i=0;
for (i=0; (i<natoms) && !bDiffMass1; i++)
bDiffMass1 = index[i] != ifit[i];
if (!bDiffMass1) {
fprintf(stderr,"\n"
"Note: the fit and analysis group are identical,\n"
" while the fit is mass weighted and the analysis is not.\n"
" Making the fit non mass weighted.\n\n");
for(i=0; (i<nfit); i++)
w_rls[ifit[i]]=1.0;
}
}
/* Prepare reference frame */
if (bPBC) {
gpbc = gmx_rmpbc_init(&top.idef,ePBC,atoms->nr,box);
gmx_rmpbc(gpbc,atoms->nr,box,xref);
}
if (bFit)
reset_x(nfit,ifit,atoms->nr,NULL,xref,w_rls);
snew(x,natoms);
snew(xav,natoms);
ndim=natoms*DIM;
if (sqrt(GMX_LARGE_INT_MAX)<ndim) {
gmx_fatal(FARGS,"Number of degrees of freedoms to large for matrix.\n");
}
snew(mat,ndim*ndim);
fprintf(stderr,"Calculating the average structure ...\n");
nframes0 = 0;
nat=read_first_x(oenv,&status,trxfile,&t,&xread,box);
if (nat != atoms->nr)
fprintf(stderr,"\nWARNING: number of atoms in tpx (%d) and trajectory (%d) do not match\n",natoms,nat);
do {
nframes0++;
/* calculate x: a fitted struture of the selected atoms */
if (bPBC)
gmx_rmpbc(gpbc,nat,box,xread);
if (bFit) {
reset_x(nfit,ifit,nat,NULL,xread,w_rls);
do_fit(nat,w_rls,xref,xread);
}
for (i=0; i<natoms; i++)
rvec_inc(xav[i],xread[index[i]]);
} while (read_next_x(oenv,status,&t,nat,xread,box));
close_trj(status);
inv_nframes = 1.0/nframes0;
for(i=0; i<natoms; i++)
for(d=0; d<DIM; d++) {
xav[i][d] *= inv_nframes;
xread[index[i]][d] = xav[i][d];
}
write_sto_conf_indexed(opt2fn("-av",NFILE,fnm),"Average structure",
atoms,xread,NULL,epbcNONE,zerobox,natoms,index);
sfree(xread);
fprintf(stderr,"Constructing covariance matrix (%dx%d) ...\n",(int)ndim,(int)ndim);
nframes=0;
nat=read_first_x(oenv,&status,trxfile,&t,&xread,box);
tstart = t;
do {
nframes++;
tend = t;
/* calculate x: a (fitted) structure of the selected atoms */
if (bPBC)
gmx_rmpbc(gpbc,nat,box,xread);
if (bFit) {
reset_x(nfit,ifit,nat,NULL,xread,w_rls);
do_fit(nat,w_rls,xref,xread);
}
if (bRef)
for (i=0; i<natoms; i++)
rvec_sub(xread[index[i]],xref[index[i]],x[i]);
else
for (i=0; i<natoms; i++)
rvec_sub(xread[index[i]],xav[i],x[i]);
for (j=0; j<natoms; j++) {
for (dj=0; dj<DIM; dj++) {
k=ndim*(DIM*j+dj);
xj=x[j][dj];
for (i=j; i<natoms; i++) {
l=k+DIM*i;
for(d=0; d<DIM; d++)
mat[l+d] += x[i][d]*xj;
}
}
}
} while (read_next_x(oenv,status,&t,nat,xread,box) &&
(bRef || nframes < nframes0));
close_trj(status);
gmx_rmpbc_done(gpbc);
fprintf(stderr,"Read %d frames\n",nframes);
if (bRef) {
/* copy the reference structure to the ouput array x */
snew(xproj,natoms);
for (i=0; i<natoms; i++)
copy_rvec(xref[index[i]],xproj[i]);
} else {
xproj = xav;
}
/* correct the covariance matrix for the mass */
inv_nframes = 1.0/nframes;
for (j=0; j<natoms; j++)
for (dj=0; dj<DIM; dj++)
for (i=j; i<natoms; i++) {
k = ndim*(DIM*j+dj)+DIM*i;
for (d=0; d<DIM; d++)
mat[k+d] = mat[k+d]*inv_nframes*sqrtm[i]*sqrtm[j];
}
/* symmetrize the matrix */
for (j=0; j<ndim; j++)
for (i=j; i<ndim; i++)
mat[ndim*i+j]=mat[ndim*j+i];
trace=0;
for(i=0; i<ndim; i++)
trace+=mat[i*ndim+i];
fprintf(stderr,"\nTrace of the covariance matrix: %g (%snm^2)\n",
trace,bM ? "u " : "");
if (asciifile) {
out = ffopen(asciifile,"w");
for (j=0; j<ndim; j++) {
for (i=0; i<ndim; i+=3)
fprintf(out,"%g %g %g\n",
mat[ndim*j+i],mat[ndim*j+i+1],mat[ndim*j+i+2]);
}
ffclose(out);
}
if (xpmfile) {
min = 0;
max = 0;
snew(mat2,ndim);
for (j=0; j<ndim; j++) {
mat2[j] = &(mat[ndim*j]);
for (i=0; i<=j; i++) {
if (mat2[j][i] < min)
min = mat2[j][i];
if (mat2[j][j] > max)
max = mat2[j][i];
}
}
snew(axis,ndim);
for(i=0; i<ndim; i++)
axis[i] = i+1;
rlo.r = 0; rlo.g = 0; rlo.b = 1;
rmi.r = 1; rmi.g = 1; rmi.b = 1;
rhi.r = 1; rhi.g = 0; rhi.b = 0;
out = ffopen(xpmfile,"w");
nlevels = 80;
write_xpm3(out,0,"Covariance",bM ? "u nm^2" : "nm^2",
"dim","dim",ndim,ndim,axis,axis,
mat2,min,0.0,max,rlo,rmi,rhi,&nlevels);
ffclose(out);
sfree(axis);
sfree(mat2);
}
if (xpmafile) {
min = 0;
max = 0;
snew(mat2,ndim/DIM);
for (i=0; i<ndim/DIM; i++)
snew(mat2[i],ndim/DIM);
for (j=0; j<ndim/DIM; j++) {
for (i=0; i<=j; i++) {
mat2[j][i] = 0;
for(d=0; d<DIM; d++)
mat2[j][i] += mat[ndim*(DIM*j+d)+DIM*i+d];
if (mat2[j][i] < min)
min = mat2[j][i];
if (mat2[j][j] > max)
max = mat2[j][i];
mat2[i][j] = mat2[j][i];
}
}
snew(axis,ndim/DIM);
for(i=0; i<ndim/DIM; i++)
axis[i] = i+1;
rlo.r = 0; rlo.g = 0; rlo.b = 1;
rmi.r = 1; rmi.g = 1; rmi.b = 1;
rhi.r = 1; rhi.g = 0; rhi.b = 0;
out = ffopen(xpmafile,"w");
nlevels = 80;
write_xpm3(out,0,"Covariance",bM ? "u nm^2" : "nm^2",
"atom","atom",ndim/DIM,ndim/DIM,axis,axis,
mat2,min,0.0,max,rlo,rmi,rhi,&nlevels);
ffclose(out);
sfree(axis);
for (i=0; i<ndim/DIM; i++)
sfree(mat2[i]);
sfree(mat2);
}
/* call diagonalization routine */
fprintf(stderr,"\nDiagonalizing ...\n");
fflush(stderr);
snew(eigval,ndim);
snew(tmp,ndim*ndim);
memcpy(tmp,mat,ndim*ndim*sizeof(real));
eigensolver(tmp,ndim,0,ndim,eigval,mat);
sfree(tmp);
/* now write the output */
sum=0;
for(i=0; i<ndim; i++)
sum+=eigval[i];
fprintf(stderr,"\nSum of the eigenvalues: %g (%snm^2)\n",
sum,bM ? "u " : "");
if (fabs(trace-sum)>0.01*trace)
fprintf(stderr,"\nWARNING: eigenvalue sum deviates from the trace of the covariance matrix\n");
fprintf(stderr,"\nWriting eigenvalues to %s\n",eigvalfile);
sprintf(str,"(%snm\\S2\\N)",bM ? "u " : "");
out=xvgropen(eigvalfile,
"Eigenvalues of the covariance matrix",
"Eigenvector index",str,oenv);
for (i=0; (i<ndim); i++)
fprintf (out,"%10d %g\n",(int)i+1,eigval[ndim-1-i]);
ffclose(out);
if (end==-1) {
if (nframes-1 < ndim)
end=nframes-1;
else
end=ndim;
}
if (bFit) {
/* misuse lambda: 0/1 mass weighted analysis no/yes */
if (nfit==natoms) {
WriteXref = eWXR_YES;
for(i=0; i<nfit; i++)
copy_rvec(xref[ifit[i]],x[i]);
} else
WriteXref = eWXR_NO;
} else {
/* misuse lambda: -1 for no fit */
WriteXref = eWXR_NOFIT;
}
write_eigenvectors(eigvecfile,natoms,mat,TRUE,1,end,
WriteXref,x,bDiffMass1,xproj,bM,eigval);
out = ffopen(logfile,"w");
time(&now);
gmx_ctime_r(&now,timebuf,STRLEN);
fprintf(out,"Covariance analysis log, written %s\n",timebuf);
fprintf(out,"Program: %s\n",argv[0]);
#if ((defined WIN32 || defined _WIN32 || defined WIN64 || defined _WIN64) && !defined __CYGWIN__ && !defined __CYGWIN32__)
pcwd=_getcwd(str,STRLEN);
#else
pcwd=getcwd(str,STRLEN);
#endif
if(NULL==pcwd)
{
gmx_fatal(FARGS,"Current working directory is undefined");
}
fprintf(out,"Working directory: %s\n\n",str);
fprintf(out,"Read %d frames from %s (time %g to %g %s)\n",nframes,trxfile,
output_env_conv_time(oenv,tstart),output_env_conv_time(oenv,tend),output_env_get_time_unit(oenv));
if (bFit)
fprintf(out,"Read reference structure for fit from %s\n",fitfile);
if (ndxfile)
fprintf(out,"Read index groups from %s\n",ndxfile);
fprintf(out,"\n");
fprintf(out,"Analysis group is '%s' (%d atoms)\n",ananame,natoms);
if (bFit)
fprintf(out,"Fit group is '%s' (%d atoms)\n",fitname,nfit);
else
fprintf(out,"No fit was used\n");
fprintf(out,"Analysis is %smass weighted\n", bDiffMass2 ? "":"non-");
if (bFit)
fprintf(out,"Fit is %smass weighted\n", bDiffMass1 ? "":"non-");
fprintf(out,"Diagonalized the %dx%d covariance matrix\n",(int)ndim,(int)ndim);
fprintf(out,"Trace of the covariance matrix before diagonalizing: %g\n",
trace);
fprintf(out,"Trace of the covariance matrix after diagonalizing: %g\n\n",
sum);
fprintf(out,"Wrote %d eigenvalues to %s\n",(int)ndim,eigvalfile);
if (WriteXref == eWXR_YES)
fprintf(out,"Wrote reference structure to %s\n",eigvecfile);
fprintf(out,"Wrote average structure to %s and %s\n",averfile,eigvecfile);
fprintf(out,"Wrote eigenvectors %d to %d to %s\n",1,end,eigvecfile);
ffclose(out);
fprintf(stderr,"Wrote the log to %s\n",logfile);
thanx(stderr);
return 0;
}
int gmx_nmeig(int argc,char *argv[])
{
const char *desc[] = {
"g_nmeig calculates the eigenvectors/values of a (Hessian) matrix,",
"which can be calculated with [TT]mdrun[tt].",
"The eigenvectors are written to a trajectory file ([TT]-v[tt]).",
"The structure is written first with t=0. The eigenvectors",
"are written as frames with the eigenvector number as timestamp.",
"The eigenvectors can be analyzed with [TT]g_anaeig[tt].",
"An ensemble of structures can be generated from the eigenvectors with",
"[TT]g_nmens[tt]. When mass weighting is used, the generated eigenvectors",
"will be scaled back to plain cartesian coordinates before generating the",
"output - in this case they will no longer be exactly orthogonal in the",
"standard cartesian norm (But in the mass weighted norm they would be)."
};
static gmx_bool bM=TRUE;
static int begin=1,end=50;
t_pargs pa[] =
{
{ "-m", FALSE, etBOOL, {&bM},
"Divide elements of Hessian by product of sqrt(mass) of involved "
"atoms prior to diagonalization. This should be used for 'Normal Modes' "
"analysis" },
{ "-first", FALSE, etINT, {&begin},
"First eigenvector to write away" },
{ "-last", FALSE, etINT, {&end},
"Last eigenvector to write away" }
};
FILE *out;
int status,trjout;
t_topology top;
int ePBC;
rvec *top_x;
matrix box;
real *eigenvalues;
real *eigenvectors;
real rdum,mass_fac;
int natoms,ndim,nrow,ncol,count;
char *grpname,title[256];
int i,j,k,l,d,gnx;
gmx_bool bSuck;
atom_id *index;
real value;
real factor_gmx_to_omega2;
real factor_omega_to_wavenumber;
t_commrec *cr;
output_env_t oenv;
real * full_hessian = NULL;
gmx_sparsematrix_t * sparse_hessian = NULL;
t_filenm fnm[] = {
{ efMTX, "-f", "hessian", ffREAD },
{ efTPS, NULL, NULL, ffREAD },
{ efXVG, "-of", "eigenfreq", ffWRITE },
{ efXVG, "-ol", "eigenval", ffWRITE },
{ efTRN, "-v", "eigenvec", ffWRITE }
};
#define NFILE asize(fnm)
cr = init_par(&argc,&argv);
if(MASTER(cr))
CopyRight(stderr,argv[0]);
parse_common_args(&argc,argv,PCA_BE_NICE | (MASTER(cr) ? 0 : PCA_QUIET),
NFILE,fnm,asize(pa),pa,asize(desc),desc,0,NULL,&oenv);
read_tps_conf(ftp2fn(efTPS,NFILE,fnm),title,&top,&ePBC,&top_x,NULL,box,bM);
natoms = top.atoms.nr;
ndim = DIM*natoms;
if(begin<1)
begin = 1;
if(end>ndim)
end = ndim;
/*open Hessian matrix */
gmx_mtxio_read(ftp2fn(efMTX,NFILE,fnm),&nrow,&ncol,&full_hessian,&sparse_hessian);
/* Memory for eigenvalues and eigenvectors (begin..end) */
snew(eigenvalues,nrow);
snew(eigenvectors,nrow*(end-begin+1));
/* If the Hessian is in sparse format we can calculate max (ndim-1) eigenvectors,
* and they must start at the first one. If this is not valid we convert to full matrix
* storage, but warn the user that we might run out of memory...
*/
if((sparse_hessian != NULL) && (begin!=1 || end==ndim))
{
if(begin!=1)
{
fprintf(stderr,"Cannot use sparse Hessian with first eigenvector != 1.\n");
}
else if(end==ndim)
{
fprintf(stderr,"Cannot use sparse Hessian to calculate all eigenvectors.\n");
}
fprintf(stderr,"Will try to allocate memory and convert to full matrix representation...\n");
snew(full_hessian,nrow*ncol);
for(i=0;i<nrow*ncol;i++)
full_hessian[i] = 0;
for(i=0;i<sparse_hessian->nrow;i++)
{
for(j=0;j<sparse_hessian->ndata[i];j++)
{
k = sparse_hessian->data[i][j].col;
value = sparse_hessian->data[i][j].value;
full_hessian[i*ndim+k] = value;
full_hessian[k*ndim+i] = value;
}
}
gmx_sparsematrix_destroy(sparse_hessian);
sparse_hessian = NULL;
fprintf(stderr,"Converted sparse to full matrix storage.\n");
}
if(full_hessian != NULL)
{
/* Using full matrix storage */
nma_full_hessian(full_hessian,nrow,bM,&top,begin,end,eigenvalues,eigenvectors);
}
else
{
/* Sparse memory storage, allocate memory for eigenvectors */
snew(eigenvectors,ncol*end);
nma_sparse_hessian(sparse_hessian,bM,&top,end,eigenvalues,eigenvectors);
}
/* check the output, first 6 eigenvalues should be reasonably small */
bSuck=FALSE;
for (i=begin-1; (i<6); i++)
{
if (fabs(eigenvalues[i]) > 1.0e-3)
bSuck=TRUE;
}
if (bSuck)
{
fprintf(stderr,"\nOne of the lowest 6 eigenvalues has a non-zero value.\n");
fprintf(stderr,"This could mean that the reference structure was not\n");
fprintf(stderr,"properly energy minimized.\n");
}
/* now write the output */
fprintf (stderr,"Writing eigenvalues...\n");
out=xvgropen(opt2fn("-ol",NFILE,fnm),
"Eigenvalues","Eigenvalue index","Eigenvalue [Gromacs units]",
oenv);
if (output_env_get_print_xvgr_codes(oenv)) {
if (bM)
fprintf(out,"@ subtitle \"mass weighted\"\n");
else
fprintf(out,"@ subtitle \"not mass weighted\"\n");
}
for (i=0; i<=(end-begin); i++)
fprintf (out,"%6d %15g\n",begin+i,eigenvalues[i]);
ffclose(out);
fprintf(stderr,"Writing eigenfrequencies - negative eigenvalues will be set to zero.\n");
out=xvgropen(opt2fn("-of",NFILE,fnm),
"Eigenfrequencies","Eigenvector index","Wavenumber [cm\\S-1\\N]",
oenv);
if (output_env_get_print_xvgr_codes(oenv)) {
if (bM)
fprintf(out,"@ subtitle \"mass weighted\"\n");
else
fprintf(out,"@ subtitle \"not mass weighted\"\n");
}
/* Gromacs units are kJ/(mol*nm*nm*amu),
* where amu is the atomic mass unit.
*
* For the eigenfrequencies we want to convert this to spectroscopic absorption
* wavenumbers given in cm^(-1), which is the frequency divided by the speed of
* light. Do this by first converting to omega^2 (units 1/s), take the square
* root, and finally divide by the speed of light (nm/ps in gromacs).
*/
factor_gmx_to_omega2 = 1.0E21/(AVOGADRO*AMU);
factor_omega_to_wavenumber = 1.0E-5/(2.0*M_PI*SPEED_OF_LIGHT);
for (i=0; i<=(end-begin); i++)
{
value = eigenvalues[i];
if(value < 0)
value = 0;
value=sqrt(value*factor_gmx_to_omega2)*factor_omega_to_wavenumber;
fprintf (out,"%6d %15g\n",begin+i,value);
}
ffclose(out);
/* Writing eigenvectors. Note that if mass scaling was used, the eigenvectors
* were scaled back from mass weighted cartesian to plain cartesian in the
* nma_full_hessian() or nma_sparse_hessian() routines. Mass scaled vectors
* will not be strictly orthogonal in plain cartesian scalar products.
*/
write_eigenvectors(opt2fn("-v",NFILE,fnm),natoms,eigenvectors,FALSE,begin,end,
eWXR_NO,NULL,FALSE,top_x,bM,eigenvalues);
thanx(stderr);
return 0;
}
