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48 #include "gmx_fatal.h"
68 static void calc_entropy_qh(FILE *fp, int n, real eigval[], real temp, int nskip)
71 double hwkT, w, dS, S = 0;
74 hbar = PLANCK1/(2*M_PI);
75 for (i = 0; (i < n-nskip); i++)
79 lambda = eigval[i]*AMU;
80 w = sqrt(BOLTZMANN*temp/lambda)/NANO;
81 hwkT = (hbar*w)/(BOLTZMANN*temp);
82 dS = (hwkT/(exp(hwkT) - 1) - log(1-exp(-hwkT)));
86 fprintf(debug, "i = %5d w = %10g lam = %10g hwkT = %10g dS = %10g\n",
87 i, w, lambda, hwkT, dS);
92 fprintf(stderr, "eigval[%d] = %g\n", i, eigval[i]);
96 fprintf(fp, "The Entropy due to the Quasi Harmonic approximation is %g J/mol K\n",
100 static void calc_entropy_schlitter(FILE *fp, int n, int nskip,
101 real *eigval, real temp)
107 double hbar, kt, kteh, S;
109 hbar = PLANCK1/(2*M_PI);
111 kteh = kt*exp(2.0)/(hbar*hbar)*AMU*(NANO*NANO);
114 fprintf(debug, "n = %d, nskip = %d kteh = %g\n", n, nskip, kteh);
118 for (i = 0; (i < n-nskip); i++)
120 dd = 1+kteh*eigval[i];
125 fprintf(fp, "The Entropy due to the Schlitter formula is %g J/mol K\n", S);
128 const char *proj_unit;
130 static real tick_spacing(real range, int minticks)
139 sp = 0.2*exp(log(10)*ceil(log(range)/log(10)));
140 while (range/sp < minticks-1)
148 static void write_xvgr_graphs(const char *file, int ngraphs, int nsetspergraph,
149 const char *title, const char *subtitle,
150 const char *xlabel, const char **ylabel,
151 int n, real *x, real **y, real ***sy,
152 real scale_x, gmx_bool bZero, gmx_bool bSplit,
153 const output_env_t oenv)
157 real min, max, xsp, ysp;
159 out = ffopen(file, "w");
160 if (output_env_get_xvg_format(oenv) == exvgXMGRACE)
162 fprintf(out, "@ autoscale onread none\n");
164 for (g = 0; g < ngraphs; g++)
170 for (i = 0; i < n; i++)
186 for (s = 0; s < nsetspergraph; s++)
188 for (i = 0; i < n; i++)
190 if (sy[g][s][i] < min)
194 if (sy[g][s][i] > max)
207 min = min-0.1*(max-min);
209 max = max+0.1*(max-min);
210 xsp = tick_spacing((x[n-1]-x[0])*scale_x, 4);
211 ysp = tick_spacing(max-min, 3);
212 if (output_env_get_print_xvgr_codes(oenv))
214 fprintf(out, "@ with g%d\n@ g%d on\n", g, g);
217 fprintf(out, "@ title \"%s\"\n", title);
220 fprintf(out, "@ subtitle \"%s\"\n", subtitle);
225 fprintf(out, "@ xaxis label \"%s\"\n", xlabel);
229 fprintf(out, "@ xaxis ticklabel off\n");
233 fprintf(out, "@ world xmin %g\n", x[0]*scale_x);
234 fprintf(out, "@ world xmax %g\n", x[n-1]*scale_x);
235 fprintf(out, "@ world ymin %g\n", min);
236 fprintf(out, "@ world ymax %g\n", max);
238 fprintf(out, "@ view xmin 0.15\n");
239 fprintf(out, "@ view xmax 0.85\n");
240 fprintf(out, "@ view ymin %g\n", 0.15+(ngraphs-1-g)*0.7/ngraphs);
241 fprintf(out, "@ view ymax %g\n", 0.15+(ngraphs-g)*0.7/ngraphs);
242 fprintf(out, "@ yaxis label \"%s\"\n", ylabel[g]);
243 fprintf(out, "@ xaxis tick major %g\n", xsp);
244 fprintf(out, "@ xaxis tick minor %g\n", xsp/2);
245 fprintf(out, "@ xaxis ticklabel start type spec\n");
246 fprintf(out, "@ xaxis ticklabel start %g\n", ceil(min/xsp)*xsp);
247 fprintf(out, "@ yaxis tick major %g\n", ysp);
248 fprintf(out, "@ yaxis tick minor %g\n", ysp/2);
249 fprintf(out, "@ yaxis ticklabel start type spec\n");
250 fprintf(out, "@ yaxis ticklabel start %g\n", ceil(min/ysp)*ysp);
251 if ((min < 0) && (max > 0))
253 fprintf(out, "@ zeroxaxis bar on\n");
254 fprintf(out, "@ zeroxaxis bar linestyle 3\n");
257 for (s = 0; s < nsetspergraph; s++)
259 for (i = 0; i < n; i++)
261 if (bSplit && i > 0 && fabs(x[i]) < 1e-5)
263 if (output_env_get_print_xvgr_codes(oenv))
268 fprintf(out, "%10.4f %10.5f\n",
269 x[i]*scale_x, y ? y[g][i] : sy[g][s][i]);
271 if (output_env_get_print_xvgr_codes(oenv))
281 compare(int natoms, int n1, rvec **eigvec1, int n2, rvec **eigvec2,
282 real *eigval1, int neig1, real *eigval2, int neig2)
286 double sum1, sum2, trace1, trace2, sab, samsb2, tmp, ip;
290 n = min(n, min(neig1, neig2));
291 fprintf(stdout, "Will compare the covariance matrices using %d dimensions\n", n);
294 for (i = 0; i < n; i++)
301 eigval1[i] = sqrt(eigval1[i]);
304 for (i = n; i < neig1; i++)
306 trace1 += eigval1[i];
309 for (i = 0; i < n; i++)
316 eigval2[i] = sqrt(eigval2[i]);
319 for (i = n; i < neig2; i++)
321 trace2 += eigval2[i];
324 fprintf(stdout, "Trace of the two matrices: %g and %g\n", sum1, sum2);
325 if (neig1 != n || neig2 != n)
327 fprintf(stdout, "this is %d%% and %d%% of the total trace\n",
328 (int)(100*sum1/trace1+0.5), (int)(100*sum2/trace2+0.5));
330 fprintf(stdout, "Square root of the traces: %g and %g\n",
331 sqrt(sum1), sqrt(sum2));
334 for (i = 0; i < n; i++)
337 for (j = 0; j < n; j++)
340 for (k = 0; k < natoms; k++)
342 ip += iprod(eigvec1[i][k], eigvec2[j][k]);
344 tmp += eigval2[j]*ip*ip;
346 sab += eigval1[i]*tmp;
349 samsb2 = sum1+sum2-2*sab;
355 fprintf(stdout, "The overlap of the covariance matrices:\n");
356 fprintf(stdout, " normalized: %.3f\n", 1-sqrt(samsb2/(sum1+sum2)));
357 tmp = 1-sab/sqrt(sum1*sum2);
362 fprintf(stdout, " shape: %.3f\n", 1-sqrt(tmp));
366 static void inprod_matrix(const char *matfile, int natoms,
367 int nvec1, int *eignr1, rvec **eigvec1,
368 int nvec2, int *eignr2, rvec **eigvec2,
369 gmx_bool bSelect, int noutvec, int *outvec)
373 int i, x1, y1, x, y, nlevels;
375 real inp, *t_x, *t_y, max;
383 for (y1 = 0; y1 < nx; y1++)
385 if (outvec[y1] < nvec2)
387 t_y[ny] = eignr2[outvec[y1]]+1;
396 for (y = 0; y < ny; y++)
398 t_y[y] = eignr2[y]+1;
402 fprintf(stderr, "Calculating inner-product matrix of %dx%d eigenvectors\n",
408 for (x1 = 0; x1 < nx; x1++)
419 t_x[x1] = eignr1[x]+1;
420 fprintf(stderr, " %d", eignr1[x]+1);
421 for (y1 = 0; y1 < ny; y1++)
426 while (outvec[y1] >= nvec2)
436 for (i = 0; i < natoms; i++)
438 inp += iprod(eigvec1[x][i], eigvec2[y][i]);
440 mat[x1][y1] = fabs(inp);
441 if (mat[x1][y1] > max)
447 fprintf(stderr, "\n");
448 rlo.r = 1; rlo.g = 1; rlo.b = 1;
449 rhi.r = 0; rhi.g = 0; rhi.b = 0;
451 out = ffopen(matfile, "w");
452 write_xpm(out, 0, "Eigenvector inner-products", "in.prod.", "run 1", "run 2",
453 nx, ny, t_x, t_y, mat, 0.0, max, rlo, rhi, &nlevels);
457 static void overlap(const char *outfile, int natoms,
459 int nvec2, int *eignr2, rvec **eigvec2,
460 int noutvec, int *outvec,
461 const output_env_t oenv)
467 fprintf(stderr, "Calculating overlap between eigenvectors of set 2 with eigenvectors\n");
468 for (i = 0; i < noutvec; i++)
470 fprintf(stderr, "%d ", outvec[i]+1);
472 fprintf(stderr, "\n");
474 out = xvgropen(outfile, "Subspace overlap",
475 "Eigenvectors of trajectory 2", "Overlap", oenv);
476 fprintf(out, "@ subtitle \"using %d eigenvectors of trajectory 1\"\n",
479 for (x = 0; x < nvec2; x++)
481 for (v = 0; v < noutvec; v++)
485 for (i = 0; i < natoms; i++)
487 inp += iprod(eigvec1[vec][i], eigvec2[x][i]);
491 fprintf(out, "%5d %5.3f\n", eignr2[x]+1, overlap/noutvec);
497 static void project(const char *trajfile, t_topology *top, int ePBC, matrix topbox,
498 const char *projfile, const char *twodplotfile,
499 const char *threedplotfile, const char *filterfile, int skip,
500 const char *extremefile, gmx_bool bExtrAll, real extreme,
501 int nextr, t_atoms *atoms, int natoms, atom_id *index,
502 gmx_bool bFit, rvec *xref, int nfit, atom_id *ifit, real *w_rls,
503 real *sqrtm, rvec *xav,
504 int *eignr, rvec **eigvec,
505 int noutvec, int *outvec, gmx_bool bSplit,
506 const output_env_t oenv)
508 FILE *xvgrout = NULL;
509 int nat, i, j, d, v, vec, nfr, nframes = 0, snew_size, frame;
510 t_trxstatus *out = NULL;
512 int noutvec_extr, imin, imax;
517 real t, inp, **inprod = NULL, min = 0, max = 0;
518 char str[STRLEN], str2[STRLEN], **ylabel, *c;
520 gmx_rmpbc_t gpbc = NULL;
526 noutvec_extr = noutvec;
536 snew(inprod, noutvec+1);
540 fprintf(stderr, "Writing a filtered trajectory to %s using eigenvectors\n",
542 for (i = 0; i < noutvec; i++)
544 fprintf(stderr, "%d ", outvec[i]+1);
546 fprintf(stderr, "\n");
547 out = open_trx(filterfile, "w");
552 nat = read_first_x(oenv, &status, trajfile, &t, &xread, box);
555 gmx_fatal(FARGS, "the number of atoms in your trajectory (%d) is larger than the number of atoms in your structure file (%d)", nat, atoms->nr);
561 gpbc = gmx_rmpbc_init(&top->idef, ePBC, nat, box);
564 for (i = 0; i < nat; i++)
574 gmx_rmpbc(gpbc, nat, box, xread);
576 if (nframes >= snew_size)
579 for (i = 0; i < noutvec+1; i++)
581 srenew(inprod[i], snew_size);
584 inprod[noutvec][nframes] = t;
585 /* calculate x: a fitted struture of the selected atoms */
588 reset_x(nfit, ifit, nat, NULL, xread, w_rls);
589 do_fit(nat, w_rls, xref, xread);
591 for (i = 0; i < natoms; i++)
593 copy_rvec(xread[index[i]], x[i]);
596 for (v = 0; v < noutvec; v++)
599 /* calculate (mass-weighted) projection */
601 for (i = 0; i < natoms; i++)
603 inp += (eigvec[vec][i][0]*(x[i][0]-xav[i][0])+
604 eigvec[vec][i][1]*(x[i][1]-xav[i][1])+
605 eigvec[vec][i][2]*(x[i][2]-xav[i][2]))*sqrtm[i];
607 inprod[v][nframes] = inp;
611 for (i = 0; i < natoms; i++)
613 for (d = 0; d < DIM; d++)
615 /* misuse xread for output */
616 xread[index[i]][d] = xav[i][d];
617 for (v = 0; v < noutvec; v++)
619 xread[index[i]][d] +=
620 inprod[v][nframes]*eigvec[outvec[v]][i][d]/sqrtm[i];
624 write_trx(out, natoms, index, atoms, 0, t, box, xread, NULL, NULL);
630 while (read_next_x(oenv, status, &t, nat, xread, box));
640 snew(xread, atoms->nr);
645 gmx_rmpbc_done(gpbc);
651 snew(ylabel, noutvec);
652 for (v = 0; v < noutvec; v++)
654 sprintf(str, "vec %d", eignr[outvec[v]]+1);
655 ylabel[v] = strdup(str);
657 sprintf(str, "projection on eigenvectors (%s)", proj_unit);
658 write_xvgr_graphs(projfile, noutvec, 1, str, NULL, output_env_get_xvgr_tlabel(oenv),
659 (const char **)ylabel,
660 nframes, inprod[noutvec], inprod, NULL,
661 output_env_get_time_factor(oenv), FALSE, bSplit, oenv);
666 sprintf(str, "projection on eigenvector %d (%s)",
667 eignr[outvec[0]]+1, proj_unit);
668 sprintf(str2, "projection on eigenvector %d (%s)",
669 eignr[outvec[noutvec-1]]+1, proj_unit);
670 xvgrout = xvgropen(twodplotfile, "2D projection of trajectory", str, str2,
672 for (i = 0; i < nframes; i++)
674 if (bSplit && i > 0 && fabs(inprod[noutvec][i]) < 1e-5)
676 fprintf(xvgrout, "&\n");
678 fprintf(xvgrout, "%10.5f %10.5f\n", inprod[0][i], inprod[noutvec-1][i]);
689 char *resnm, *atnm, pdbform[STRLEN];
695 gmx_fatal(FARGS, "You have selected less than 3 eigenvectors");
699 bPDB = fn2ftp(threedplotfile) == efPDB;
701 box[XX][XX] = box[YY][YY] = box[ZZ][ZZ] = 1;
703 b4D = bPDB && (noutvec >= 4);
706 fprintf(stderr, "You have selected four or more eigenvectors:\n"
707 "fourth eigenvector will be plotted "
708 "in bfactor field of pdb file\n");
709 sprintf(str, "4D proj. of traj. on eigenv. %d, %d, %d and %d",
710 eignr[outvec[0]]+1, eignr[outvec[1]]+1,
711 eignr[outvec[2]]+1, eignr[outvec[3]]+1);
715 sprintf(str, "3D proj. of traj. on eigenv. %d, %d and %d",
716 eignr[outvec[0]]+1, eignr[outvec[1]]+1, eignr[outvec[2]]+1);
718 init_t_atoms(&atoms, nframes, FALSE);
722 resnm = strdup("PRJ");
726 fact = 10000.0/nframes;
733 for (i = 0; i < nframes; i++)
735 atoms.atomname[i] = &atnm;
736 atoms.atom[i].resind = i;
737 atoms.resinfo[i].name = &resnm;
738 atoms.resinfo[i].nr = ceil(i*fact);
739 atoms.resinfo[i].ic = ' ';
740 x[i][XX] = inprod[0][i];
741 x[i][YY] = inprod[1][i];
742 x[i][ZZ] = inprod[2][i];
748 if ( ( b4D || bSplit ) && bPDB)
750 strcpy(pdbform, pdbformat);
751 strcat(pdbform, "%8.4f%8.4f\n");
753 out = ffopen(threedplotfile, "w");
754 fprintf(out, "HEADER %s\n", str);
757 fprintf(out, "REMARK %s\n", "fourth dimension plotted as B-factor");
760 for (i = 0; i < atoms.nr; i++)
762 if (j > 0 && bSplit && fabs(inprod[noutvec][i]) < 1e-5)
764 fprintf(out, "TER\n");
767 fprintf(out, pdbform, "ATOM", i+1, "C", "PRJ", ' ', j+1,
768 PR_VEC(10*x[i]), 1.0, 10*b[i]);
771 fprintf(out, "CONECT%5d%5d\n", i, i+1);
775 fprintf(out, "TER\n");
780 write_sto_conf(threedplotfile, str, &atoms, x, NULL, ePBC, box);
782 free_t_atoms(&atoms, FALSE);
787 snew(pmin, noutvec_extr);
788 snew(pmax, noutvec_extr);
791 fprintf(stderr, "%11s %17s %17s\n", "eigenvector", "Minimum", "Maximum");
793 "%11s %10s %10s %10s %10s\n", "", "value", "frame", "value", "frame");
796 for (v = 0; v < noutvec_extr; v++)
798 for (i = 0; i < nframes; i++)
800 if (inprod[v][i] < inprod[v][imin])
804 if (inprod[v][i] > inprod[v][imax])
809 pmin[v] = inprod[v][imin];
810 pmax[v] = inprod[v][imax];
811 fprintf(stderr, "%7d %10.6f %10d %10.6f %10d\n",
813 pmin[v], imin, pmax[v], imax);
821 /* build format string for filename: */
822 strcpy(str, extremefile); /* copy filename */
823 c = strrchr(str, '.'); /* find where extention begins */
824 strcpy(str2, c); /* get extention */
825 sprintf(c, "%%d%s", str2); /* append '%s' and extention to filename */
826 for (v = 0; v < noutvec_extr; v++)
828 /* make filename using format string */
829 if (noutvec_extr == 1)
831 strcpy(str2, extremefile);
835 sprintf(str2, str, eignr[outvec[v]]+1);
837 fprintf(stderr, "Writing %d frames along eigenvector %d to %s\n",
838 nextr, outvec[v]+1, str2);
839 out = open_trx(str2, "w");
840 for (frame = 0; frame < nextr; frame++)
842 if ((extreme == 0) && (nextr <= 3))
844 for (i = 0; i < natoms; i++)
846 atoms->resinfo[atoms->atom[index[i]].resind].chainid = 'A' + frame;
849 for (i = 0; i < natoms; i++)
851 for (d = 0; d < DIM; d++)
854 (xav[i][d] + (pmin[v]*(nextr-frame-1)+pmax[v]*frame)/(nextr-1)
855 *eigvec[outvec[v]][i][d]/sqrtm[i]);
858 write_trx(out, natoms, index, atoms, 0, frame, topbox, xread, NULL, NULL);
865 fprintf(stderr, "\n");
868 static void components(const char *outfile, int natoms,
869 int *eignr, rvec **eigvec,
870 int noutvec, int *outvec,
871 const output_env_t oenv)
875 char str[STRLEN], **ylabel;
877 fprintf(stderr, "Writing eigenvector components to %s\n", outfile);
879 snew(ylabel, noutvec);
882 for (i = 0; i < natoms; i++)
886 for (g = 0; g < noutvec; g++)
889 sprintf(str, "vec %d", eignr[v]+1);
890 ylabel[g] = strdup(str);
892 for (s = 0; s < 4; s++)
894 snew(y[g][s], natoms);
896 for (i = 0; i < natoms; i++)
898 y[g][0][i] = norm(eigvec[v][i]);
899 for (s = 0; s < 3; s++)
901 y[g][s+1][i] = eigvec[v][i][s];
905 write_xvgr_graphs(outfile, noutvec, 4, "Eigenvector components",
906 "black: total, red: x, green: y, blue: z",
907 "Atom number", (const char **)ylabel,
908 natoms, x, NULL, y, 1, FALSE, FALSE, oenv);
909 fprintf(stderr, "\n");
912 static void rmsf(const char *outfile, int natoms, real *sqrtm,
913 int *eignr, rvec **eigvec,
914 int noutvec, int *outvec,
915 real *eigval, int neig,
916 const output_env_t oenv)
920 char str[STRLEN], **ylabel;
922 for (i = 0; i < neig; i++)
930 fprintf(stderr, "Writing rmsf to %s\n", outfile);
932 snew(ylabel, noutvec);
935 for (i = 0; i < natoms; i++)
939 for (g = 0; g < noutvec; g++)
942 if (eignr[v] >= neig)
944 gmx_fatal(FARGS, "Selected vector %d is larger than the number of eigenvalues (%d)", eignr[v]+1, neig);
946 sprintf(str, "vec %d", eignr[v]+1);
947 ylabel[g] = strdup(str);
949 for (i = 0; i < natoms; i++)
951 y[g][i] = sqrt(eigval[eignr[v]]*norm2(eigvec[v][i]))/sqrtm[i];
954 write_xvgr_graphs(outfile, noutvec, 1, "RMS fluctuation (nm) ", NULL,
955 "Atom number", (const char **)ylabel,
956 natoms, x, y, NULL, 1, TRUE, FALSE, oenv);
957 fprintf(stderr, "\n");
960 int gmx_anaeig(int argc, char *argv[])
962 static const char *desc[] = {
963 "[TT]g_anaeig[tt] analyzes eigenvectors. The eigenvectors can be of a",
964 "covariance matrix ([TT]g_covar[tt]) or of a Normal Modes analysis",
965 "([TT]g_nmeig[tt]).[PAR]",
967 "When a trajectory is projected on eigenvectors, all structures are",
968 "fitted to the structure in the eigenvector file, if present, otherwise",
969 "to the structure in the structure file. When no run input file is",
970 "supplied, periodicity will not be taken into account. Most analyses",
971 "are performed on eigenvectors [TT]-first[tt] to [TT]-last[tt], but when",
972 "[TT]-first[tt] is set to -1 you will be prompted for a selection.[PAR]",
974 "[TT]-comp[tt]: plot the vector components per atom of eigenvectors",
975 "[TT]-first[tt] to [TT]-last[tt].[PAR]",
977 "[TT]-rmsf[tt]: plot the RMS fluctuation per atom of eigenvectors",
978 "[TT]-first[tt] to [TT]-last[tt] (requires [TT]-eig[tt]).[PAR]",
980 "[TT]-proj[tt]: calculate projections of a trajectory on eigenvectors",
981 "[TT]-first[tt] to [TT]-last[tt].",
982 "The projections of a trajectory on the eigenvectors of its",
983 "covariance matrix are called principal components (pc's).",
984 "It is often useful to check the cosine content of the pc's,",
985 "since the pc's of random diffusion are cosines with the number",
986 "of periods equal to half the pc index.",
987 "The cosine content of the pc's can be calculated with the program",
988 "[TT]g_analyze[tt].[PAR]",
990 "[TT]-2d[tt]: calculate a 2d projection of a trajectory on eigenvectors",
991 "[TT]-first[tt] and [TT]-last[tt].[PAR]",
993 "[TT]-3d[tt]: calculate a 3d projection of a trajectory on the first",
994 "three selected eigenvectors.[PAR]",
996 "[TT]-filt[tt]: filter the trajectory to show only the motion along",
997 "eigenvectors [TT]-first[tt] to [TT]-last[tt].[PAR]",
999 "[TT]-extr[tt]: calculate the two extreme projections along a trajectory",
1000 "on the average structure and interpolate [TT]-nframes[tt] frames",
1001 "between them, or set your own extremes with [TT]-max[tt]. The",
1002 "eigenvector [TT]-first[tt] will be written unless [TT]-first[tt] and",
1003 "[TT]-last[tt] have been set explicitly, in which case all eigenvectors",
1004 "will be written to separate files. Chain identifiers will be added",
1005 "when writing a [TT].pdb[tt] file with two or three structures (you",
1006 "can use [TT]rasmol -nmrpdb[tt] to view such a [TT].pdb[tt] file).[PAR]",
1008 " Overlap calculations between covariance analysis:[BR]",
1009 " [BB]Note:[bb] the analysis should use the same fitting structure[PAR]",
1011 "[TT]-over[tt]: calculate the subspace overlap of the eigenvectors in",
1012 "file [TT]-v2[tt] with eigenvectors [TT]-first[tt] to [TT]-last[tt]",
1013 "in file [TT]-v[tt].[PAR]",
1015 "[TT]-inpr[tt]: calculate a matrix of inner-products between",
1016 "eigenvectors in files [TT]-v[tt] and [TT]-v2[tt]. All eigenvectors",
1017 "of both files will be used unless [TT]-first[tt] and [TT]-last[tt]",
1018 "have been set explicitly.[PAR]",
1020 "When [TT]-v[tt], [TT]-eig[tt], [TT]-v2[tt] and [TT]-eig2[tt] are given,",
1021 "a single number for the overlap between the covariance matrices is",
1022 "generated. The formulas are:[BR]",
1023 " difference = sqrt(tr((sqrt(M1) - sqrt(M2))^2))[BR]",
1024 "normalized overlap = 1 - difference/sqrt(tr(M1) + tr(M2))[BR]",
1025 " shape overlap = 1 - sqrt(tr((sqrt(M1/tr(M1)) - sqrt(M2/tr(M2)))^2))[BR]",
1026 "where M1 and M2 are the two covariance matrices and tr is the trace",
1027 "of a matrix. The numbers are proportional to the overlap of the square",
1028 "root of the fluctuations. The normalized overlap is the most useful",
1029 "number, it is 1 for identical matrices and 0 when the sampled",
1030 "subspaces are orthogonal.[PAR]",
1031 "When the [TT]-entropy[tt] flag is given an entropy estimate will be",
1032 "computed based on the Quasiharmonic approach and based on",
1033 "Schlitter's formula."
1035 static int first = 1, last = -1, skip = 1, nextr = 2, nskip = 6;
1036 static real max = 0.0, temp = 298.15;
1037 static gmx_bool bSplit = FALSE, bEntropy = FALSE;
1039 { "-first", FALSE, etINT, {&first},
1040 "First eigenvector for analysis (-1 is select)" },
1041 { "-last", FALSE, etINT, {&last},
1042 "Last eigenvector for analysis (-1 is till the last)" },
1043 { "-skip", FALSE, etINT, {&skip},
1044 "Only analyse every nr-th frame" },
1045 { "-max", FALSE, etREAL, {&max},
1046 "Maximum for projection of the eigenvector on the average structure, "
1047 "max=0 gives the extremes" },
1048 { "-nframes", FALSE, etINT, {&nextr},
1049 "Number of frames for the extremes output" },
1050 { "-split", FALSE, etBOOL, {&bSplit},
1051 "Split eigenvector projections where time is zero" },
1052 { "-entropy", FALSE, etBOOL, {&bEntropy},
1053 "Compute entropy according to the Quasiharmonic formula or Schlitter's method." },
1054 { "-temp", FALSE, etREAL, {&temp},
1055 "Temperature for entropy calculations" },
1056 { "-nevskip", FALSE, etINT, {&nskip},
1057 "Number of eigenvalues to skip when computing the entropy due to the quasi harmonic approximation. When you do a rotational and/or translational fit prior to the covariance analysis, you get 3 or 6 eigenvalues that are very close to zero, and which should not be taken into account when computing the entropy." }
1059 #define NPA asize(pa)
1065 t_atoms *atoms = NULL;
1066 rvec *xtop, *xref1, *xref2, *xrefp = NULL;
1067 gmx_bool bDMR1, bDMA1, bDMR2, bDMA2;
1068 int nvec1, nvec2, *eignr1 = NULL, *eignr2 = NULL;
1069 rvec *x, *xread, *xav1, *xav2, **eigvec1 = NULL, **eigvec2 = NULL;
1071 real xid, totmass, *sqrtm, *w_rls, t, lambda;
1074 const char *indexfile;
1077 int nout, *iout, noutvec, *outvec, nfit;
1078 atom_id *index, *ifit;
1079 const char *VecFile, *Vec2File, *topfile;
1080 const char *EigFile, *Eig2File;
1081 const char *CompFile, *RmsfFile, *ProjOnVecFile;
1082 const char *TwoDPlotFile, *ThreeDPlotFile;
1083 const char *FilterFile, *ExtremeFile;
1084 const char *OverlapFile, *InpMatFile;
1085 gmx_bool bFit1, bFit2, bM, bIndex, bTPS, bTop, bVec2, bProj;
1086 gmx_bool bFirstToLast, bFirstLastSet, bTraj, bCompare, bPDB3D;
1087 real *eigval1 = NULL, *eigval2 = NULL;
1094 { efTRN, "-v", "eigenvec", ffREAD },
1095 { efTRN, "-v2", "eigenvec2", ffOPTRD },
1096 { efTRX, "-f", NULL, ffOPTRD },
1097 { efTPS, NULL, NULL, ffOPTRD },
1098 { efNDX, NULL, NULL, ffOPTRD },
1099 { efXVG, "-eig", "eigenval", ffOPTRD },
1100 { efXVG, "-eig2", "eigenval2", ffOPTRD },
1101 { efXVG, "-comp", "eigcomp", ffOPTWR },
1102 { efXVG, "-rmsf", "eigrmsf", ffOPTWR },
1103 { efXVG, "-proj", "proj", ffOPTWR },
1104 { efXVG, "-2d", "2dproj", ffOPTWR },
1105 { efSTO, "-3d", "3dproj.pdb", ffOPTWR },
1106 { efTRX, "-filt", "filtered", ffOPTWR },
1107 { efTRX, "-extr", "extreme.pdb", ffOPTWR },
1108 { efXVG, "-over", "overlap", ffOPTWR },
1109 { efXPM, "-inpr", "inprod", ffOPTWR }
1111 #define NFILE asize(fnm)
1113 CopyRight(stderr, argv[0]);
1114 parse_common_args(&argc, argv,
1115 PCA_CAN_TIME | PCA_TIME_UNIT | PCA_CAN_VIEW | PCA_BE_NICE,
1116 NFILE, fnm, NPA, pa, asize(desc), desc, 0, NULL, &oenv);
1118 indexfile = ftp2fn_null(efNDX, NFILE, fnm);
1120 VecFile = opt2fn("-v", NFILE, fnm);
1121 Vec2File = opt2fn_null("-v2", NFILE, fnm);
1122 topfile = ftp2fn(efTPS, NFILE, fnm);
1123 EigFile = opt2fn_null("-eig", NFILE, fnm);
1124 Eig2File = opt2fn_null("-eig2", NFILE, fnm);
1125 CompFile = opt2fn_null("-comp", NFILE, fnm);
1126 RmsfFile = opt2fn_null("-rmsf", NFILE, fnm);
1127 ProjOnVecFile = opt2fn_null("-proj", NFILE, fnm);
1128 TwoDPlotFile = opt2fn_null("-2d", NFILE, fnm);
1129 ThreeDPlotFile = opt2fn_null("-3d", NFILE, fnm);
1130 FilterFile = opt2fn_null("-filt", NFILE, fnm);
1131 ExtremeFile = opt2fn_null("-extr", NFILE, fnm);
1132 OverlapFile = opt2fn_null("-over", NFILE, fnm);
1133 InpMatFile = ftp2fn_null(efXPM, NFILE, fnm);
1135 bTop = fn2bTPX(topfile);
1136 bProj = ProjOnVecFile || TwoDPlotFile || ThreeDPlotFile
1137 || FilterFile || ExtremeFile;
1139 opt2parg_bSet("-first", NPA, pa) && opt2parg_bSet("-last", NPA, pa);
1140 bFirstToLast = CompFile || RmsfFile || ProjOnVecFile || FilterFile ||
1141 OverlapFile || ((ExtremeFile || InpMatFile) && bFirstLastSet);
1142 bVec2 = Vec2File || OverlapFile || InpMatFile;
1143 bM = RmsfFile || bProj;
1144 bTraj = ProjOnVecFile || FilterFile || (ExtremeFile && (max == 0))
1145 || TwoDPlotFile || ThreeDPlotFile;
1146 bIndex = bM || bProj;
1147 bTPS = ftp2bSet(efTPS, NFILE, fnm) || bM || bTraj ||
1148 FilterFile || (bIndex && indexfile);
1149 bCompare = Vec2File || Eig2File;
1150 bPDB3D = fn2ftp(ThreeDPlotFile) == efPDB;
1152 read_eigenvectors(VecFile, &natoms, &bFit1,
1153 &xref1, &bDMR1, &xav1, &bDMA1,
1154 &nvec1, &eignr1, &eigvec1, &eigval1);
1157 /* Overwrite eigenvalues from separate files if the user provides them */
1158 if (EigFile != NULL)
1160 int neig_tmp = read_xvg(EigFile, &xvgdata, &i);
1161 if (neig_tmp != neig1)
1163 fprintf(stderr, "Warning: number of eigenvalues in xvg file (%d) does not mtch trr file (%d)\n", neig1, natoms);
1166 srenew(eigval1, neig1);
1167 for (j = 0; j < neig1; j++)
1169 real tmp = eigval1[j];
1170 eigval1[j] = xvgdata[1][j];
1171 if (debug && (eigval1[j] != tmp))
1173 fprintf(debug, "Replacing eigenvalue %d. From trr: %10g, from xvg: %10g\n",
1174 j, tmp, eigval1[j]);
1177 for (j = 0; j < i; j++)
1182 fprintf(stderr, "Read %d eigenvalues from %s\n", neig1, EigFile);
1189 gmx_fatal(FARGS, "Can not calculate entropies from mass-weighted eigenvalues, redo the analysis without mass-weighting");
1191 calc_entropy_qh(stdout, neig1, eigval1, temp, nskip);
1192 calc_entropy_schlitter(stdout, neig1, nskip, eigval1, temp);
1199 gmx_fatal(FARGS, "Need a second eigenvector file to do this analysis.");
1201 read_eigenvectors(Vec2File, &neig2, &bFit2,
1202 &xref2, &bDMR2, &xav2, &bDMA2, &nvec2, &eignr2, &eigvec2, &eigval2);
1207 gmx_fatal(FARGS, "Dimensions in the eigenvector files don't match");
1211 if (Eig2File != NULL)
1213 neig2 = read_xvg(Eig2File, &xvgdata, &i);
1214 srenew(eigval2, neig2);
1215 for (j = 0; j < neig2; j++)
1217 eigval2[j] = xvgdata[1][j];
1219 for (j = 0; j < i; j++)
1224 fprintf(stderr, "Read %d eigenvalues from %s\n", neig2, Eig2File);
1228 if ((!bFit1 || xref1) && !bDMR1 && !bDMA1)
1232 if ((xref1 == NULL) && (bM || bTraj))
1248 bTop = read_tps_conf(ftp2fn(efTPS, NFILE, fnm),
1249 title, &top, &ePBC, &xtop, NULL, topbox, bM);
1251 gpbc = gmx_rmpbc_init(&top.idef, ePBC, atoms->nr, topbox);
1252 gmx_rmpbc(gpbc, atoms->nr, topbox, xtop);
1253 /* Fitting is only required for the projection */
1258 printf("\nNote: the structure in %s should be the same\n"
1259 " as the one used for the fit in g_covar\n", topfile);
1261 printf("\nSelect the index group that was used for the least squares fit in g_covar\n");
1262 get_index(atoms, indexfile, 1, &nfit, &ifit, &grpname);
1264 snew(w_rls, atoms->nr);
1265 for (i = 0; (i < nfit); i++)
1269 w_rls[ifit[i]] = atoms->atom[ifit[i]].m;
1273 w_rls[ifit[i]] = 1.0;
1277 snew(xrefp, atoms->nr);
1280 /* Safety check between selected fit-group and reference structure read from the eigenvector file */
1283 gmx_fatal(FARGS, "you selected a group with %d elements instead of %d, your selection does not fit the reference structure in the eigenvector file.", nfit, natoms);
1285 for (i = 0; (i < nfit); i++)
1287 copy_rvec(xref1[i], xrefp[ifit[i]]);
1292 /* The top coordinates are the fitting reference */
1293 for (i = 0; (i < nfit); i++)
1295 copy_rvec(xtop[ifit[i]], xrefp[ifit[i]]);
1297 reset_x(nfit, ifit, atoms->nr, NULL, xrefp, w_rls);
1300 gmx_rmpbc_done(gpbc);
1305 printf("\nSelect an index group of %d elements that corresponds to the eigenvectors\n", natoms);
1306 get_index(atoms, indexfile, 1, &i, &index, &grpname);
1309 gmx_fatal(FARGS, "you selected a group with %d elements instead of %d", i, natoms);
1314 snew(sqrtm, natoms);
1317 proj_unit = "u\\S1/2\\Nnm";
1318 for (i = 0; (i < natoms); i++)
1320 sqrtm[i] = sqrt(atoms->atom[index[i]].m);
1326 for (i = 0; (i < natoms); i++)
1336 for (i = 0; (i < natoms); i++)
1338 for (d = 0; (d < DIM); d++)
1340 t += sqr((xav1[i][d]-xav2[i][d])*sqrtm[i]);
1341 totmass += sqr(sqrtm[i]);
1344 fprintf(stdout, "RMSD (without fit) between the two average structures:"
1345 " %.3f (nm)\n\n", sqrt(t/totmass));
1356 /* make an index from first to last */
1357 nout = last-first+1;
1359 for (i = 0; i < nout; i++)
1361 iout[i] = first-1+i;
1364 else if (ThreeDPlotFile)
1366 /* make an index of first+(0,1,2) and last */
1367 nout = bPDB3D ? 4 : 3;
1368 nout = min(last-first+1, nout);
1376 iout[nout-1] = last-1;
1380 /* make an index of first and last */
1389 printf("Select eigenvectors for output, end your selection with 0\n");
1396 srenew(iout, nout+1);
1397 if (1 != scanf("%d", &iout[nout]))
1399 gmx_fatal(FARGS, "Error reading user input");
1403 while (iout[nout] >= 0);
1407 /* make an index of the eigenvectors which are present */
1410 for (i = 0; i < nout; i++)
1413 while ((j < nvec1) && (eignr1[j] != iout[i]))
1417 if ((j < nvec1) && (eignr1[j] == iout[i]))
1419 outvec[noutvec] = j;
1423 fprintf(stderr, "%d eigenvectors selected for output", noutvec);
1426 fprintf(stderr, ":");
1427 for (j = 0; j < noutvec; j++)
1429 fprintf(stderr, " %d", eignr1[outvec[j]]+1);
1432 fprintf(stderr, "\n");
1436 components(CompFile, natoms, eignr1, eigvec1, noutvec, outvec, oenv);
1441 rmsf(RmsfFile, natoms, sqrtm, eignr1, eigvec1, noutvec, outvec, eigval1,
1447 project(bTraj ? opt2fn("-f", NFILE, fnm) : NULL,
1448 bTop ? &top : NULL, ePBC, topbox,
1449 ProjOnVecFile, TwoDPlotFile, ThreeDPlotFile, FilterFile, skip,
1450 ExtremeFile, bFirstLastSet, max, nextr, atoms, natoms, index,
1451 bFit1, xrefp, nfit, ifit, w_rls,
1452 sqrtm, xav1, eignr1, eigvec1, noutvec, outvec, bSplit,
1458 overlap(OverlapFile, natoms,
1459 eigvec1, nvec2, eignr2, eigvec2, noutvec, outvec, oenv);
1464 inprod_matrix(InpMatFile, natoms,
1465 nvec1, eignr1, eigvec1, nvec2, eignr2, eigvec2,
1466 bFirstLastSet, noutvec, outvec);
1471 compare(natoms, nvec1, eigvec1, nvec2, eigvec2, eigval1, neig1, eigval2, neig2);
1475 if (!CompFile && !bProj && !OverlapFile && !InpMatFile &&
1476 !bCompare && !bEntropy)
1478 fprintf(stderr, "\nIf you want some output,"
1479 " set one (or two or ...) of the output file options\n");
1483 view_all(oenv, NFILE, fnm);