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/*
Theseus - maximum likelihood superpositioning of macromolecular structures
Copyright (C) 2004-2014 Douglas L. Theobald
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the:
Free Software Foundation, Inc.,
59 Temple Place, Suite 330,
Boston, MA 02111-1307 USA
-/_|:|_|_\-
*/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <float.h>
#include "CovMat.h"
#include "DLTutils.h"
#include "DLTmath.h"
#include "Error.h"
#include "PCAstats.h"
#include "pdbIO.h"
#include "pdbMalloc.h"
#include "Cds.h"
#include "PDBCds.h"
#include "pdbStats.h"
#include "pdbUtils.h"
void
CalcPCA(CdsArray *cdsA)
{
int i, j;
int vlen = (int) cdsA->vlen;
int pcanum;
double **CovMat = cdsA->CovMat;
double sum, runsum;
PDBCds *pdbave = NULL;
char pcafile_name[256];
FILE *pcavecs_fp = NULL, *pcastats_fp = NULL;
double biggest, bstick;
char aster;
char *cov_name = NULL, *cor_name = NULL, *pcvecs_name = NULL, *pcstats_name = NULL;
pdbave = cdsA->pdbA->avecds;
pcanum = algo->pca;
if (pcanum > cdsA->vlen)
pcanum = algo->pca = cdsA->vlen;
if (pcanum > cdsA->cnum - 1)
pcanum = algo->pca = cdsA->cnum - 1;
cov_name = mystrcat(algo->rootname, "_cov.mat");
PrintCovMatGnuPlot((const double **) CovMat, vlen, cov_name);
/* convert it to a correlation matrix */
if (algo->cormat)
{
CovMat2CorMat(CovMat, vlen);
cor_name = mystrcat(algo->rootname, "_cor.mat");
PrintCovMatGnuPlot((const double **) CovMat, vlen, cor_name);
}
// write_C_mat((const double **) CovMat, vlen, 8, 0);
/* find the total variance */
sum = 0.0;
for (i = 0; i < vlen; ++i)
sum += CovMat[i][i];
cdsA->pcamat = MatAlloc(vlen, vlen);
cdsA->pcavals = malloc(vlen * sizeof(double));
EigenGSLDest(CovMat, vlen, cdsA->pcavals, cdsA->pcamat, 1);
MatTransIp(cdsA->pcamat, vlen);
//MatPrint(cdsA->pcamat, vlen);
/* LAPACK DSYEVR() computes selected eigenvalues, and optionally, eigenvectors of a
real symmetric matrix. Find all eigenvalues (w[]) and eigenvectors (mat[][]).
The pcanum eigenvalues are in the first pcanum elements of the w[] vector,
ordered smallest to biggest. Weird and horrible, but true (and in fact
makes sense if you think about it). */
//dsyevr_dest(CovMat, vlen, lower, upper, cdsA->pcavals, cdsA->pcamat, 1e-8);
//MatPrint(cdsA->pcamat, vlen);
pcvecs_name = mystrcat(algo->rootname, "_pcvecs.txt");
pcstats_name = mystrcat(algo->rootname, "_pcstats.txt");
pcavecs_fp = myfopen(pcvecs_name, "w");
pcastats_fp = myfopen(pcstats_name, "w");
if (pcavecs_fp == NULL || pcastats_fp == NULL)
{
fprintf(stderr, "\n ERROR: Could not open PCA files \n");
PrintTheseusTag();
exit(EXIT_FAILURE);
}
runsum = 0.0;
fprintf(pcastats_fp, "eigenv bstick raw raw_%% cumul_%% \n");
for (i = 0; i < pcanum; ++i)
{
bstick = 0.0;
for (j = i+1; j <= vlen; ++j)
bstick += (1.0 / (double) j);
if (bstick < cdsA->pcavals[i] && cdsA->pcavals[i] > 1.0)
aster = '*';
else
aster = ' ';
runsum += cdsA->pcavals[i];
fprintf(pcastats_fp, "%-6i %8.3f %8.3f %8.3f %8.3f %c\n",
i+1, bstick, cdsA->pcavals[i],
cdsA->pcavals[i] * 100.0 / sum, runsum * 100.0 / sum, aster);
}
fputc('\n', pcastats_fp);
fprintf(pcavecs_fp, "atom ");
for (j = 0; j < pcanum; ++j)
fprintf(pcavecs_fp, " %3d ", j+1);
fputc('\n', pcavecs_fp);
for (i = 0; i < vlen; ++i)
{
fprintf(pcavecs_fp, "%-4d ", i+1);
for (j = 0; j < pcanum; ++j)
fprintf(pcavecs_fp, "%8.3f ", sqrt(cdsA->pcavals[j]) * cdsA->pcamat[j][i]);
fputc('\n', pcavecs_fp);
}
CopyCds2PDB(pdbave, cdsA->avecds);
for (i = 0; i < pcanum; ++i)
{
//printf("\neigenval %d: %g\n", i, cdsA->pcavals[i]);
/* find largest absolute value in the eigenvector PCA */
biggest = -DBL_MAX;
for (j = 0; j < vlen; ++j)
if (biggest < fabs(cdsA->pcamat[i][j]))
biggest = fabs(cdsA->pcamat[i][j]);
/* rescale (for rasmol really) so that the largest eigenvalue component
is = 99.99, i.e. the largest value allowable in the b-value column
of a PDB file */
/* biggest = 1.0; */
for (j = 0; j < vlen; ++j)
cdsA->pdbA->avecds->tempFactor[j] = cdsA->pcamat[i][j] * (99.99 / biggest);
sprintf(pcafile_name, "%s_pc%d_ave.pdb", algo->rootname, i+1);
//strcpy(pcafile_name, mystrcat(algo->rootname, "_pc"));
//pcafile_name[11] = '\0';
//strncat(pcafile_name, itoa(i+1, &numstring[0], 10), 5);
//strncat(pcafile_name, "_ave.pdb", 8);
WriteAvePDBCdsFile(cdsA->pdbA, pcafile_name);
}
if (pcanum == vlen)
{
char *pcvecs_mat_name = mystrcat(algo->rootname, "_pcvecs.mat");
for (i = 0; i < vlen; ++i)
for (j = 0; j < pcanum; ++j)
cdsA->pcamat[j][i] *= sqrt(cdsA->pcavals[j]);
PrintCovMatGnuPlot((const double **) cdsA->pcamat, vlen, pcvecs_mat_name);
free(pcvecs_mat_name);
}
fclose(pcastats_fp);
fclose(pcavecs_fp);
if (cov_name != NULL)
free(cov_name);
if (cor_name != NULL)
free(cor_name);
if (pcvecs_name != NULL)
free(pcvecs_name);
if (pcstats_name != NULL)
free(pcstats_name);
}
void
Calc3NPCA(CdsArray *cdsA)
{
int i, j;
int vlen = (int) 3 * cdsA->vlen;
double **mat = NULL;
int pcanum;
double **evecs = NULL, *evals = NULL;
double sum, runsum;
PDBCds *pdbave = NULL;
char pcafile_name[256];
FILE *pcavecs_fp = NULL, *pcastats_fp = NULL;
double biggest, bstick;
char aster;
pdbave = cdsA->pdbA->avecds;
mat = MatAlloc(vlen, vlen);
if (algo->pca > cdsA->cnum - 1)
pcanum = algo->pca = cdsA->cnum - 1;
else
pcanum = algo->pca;
/* copy over the covariance matrix */
memcpy(mat[0], cdsA->FullCovMat[0], vlen * vlen * sizeof(double));
/* MatPrint(cdsA->FullCovMat, vlen); */
/* fflush(NULL); */
/* convert it to a correlation matrix */
if (algo->cormat)
CovMat2CorMat(mat, vlen);
/* find the total variance */
sum = 0.0;
for (i = 0; i < vlen; ++i)
sum += mat[i][i];
evecs = MatAlloc(vlen, vlen);
evals = malloc(vlen * sizeof(double));
/* LAPACK DSYEVR() computes selected eigenvalues, and optionally, eigenvectors of a
real symmetric matrix. Find all eigenvalues (w[]) and eigenvectors (mat[][]).
The pcanum eigenvalues are in the first pcanum elements of the w[] vector,
ordered smallest to biggest. Weird and horrible, but true (and in fact
makes sense if you think about it). */
//dsyevr_opt_dest(mat, vlen, lower, upper, evals, evecs, 1e-8);
EigenGSLDest(mat, vlen, evals, evecs, 1);
MatTransIp(cdsA->pcamat, vlen);
PrintCovMatGnuPlot((const double **) evecs, vlen, "evecs.mat");
pcavecs_fp = fopen("pcavecs.txt", "w");
pcastats_fp = fopen("pcastats.txt", "w");
if (pcavecs_fp == NULL || pcastats_fp == NULL)
{
fprintf(stderr, "\n ERROR1000: Could not open PCA files \n");
PrintTheseusTag();
exit(EXIT_FAILURE);
}
runsum = 0.0;
fprintf(pcastats_fp, "eigenv bstick raw raw_%% cumul_%% \n");
for (i = 0; i < pcanum; ++i)
{
bstick = 0.0;
for (j = i+1; j <= vlen; ++j)
bstick += (1.0 / (double) j);
if (bstick < evals[i] && evals[i] > 1.0)
aster = '*';
else
aster = ' ';
runsum += cdsA->pcavals[i];
fprintf(pcastats_fp, "%-6i %8.3f %8.3f %8.3f %8.3f %c\n",
i+1, bstick, evals[i],
evals[i] * 100.0 / sum, runsum * 100.0 / sum, aster);
}
fputc('\n', pcastats_fp);
fprintf(pcavecs_fp, "atom ");
for (j = 0; j < pcanum; ++j)
fprintf(pcavecs_fp, " %3d ", j+1);
fputc('\n', pcavecs_fp);
for (i = 0; i < vlen; ++i)
{
fprintf(pcavecs_fp, "%-4d ", i+1);
for (j = 0; j < pcanum; ++j)
fprintf(pcavecs_fp, "%8.3f ", sqrt(evals[j]) * evecs[j][i]);
fputc('\n', pcavecs_fp);
}
CopyCds2PDB(pdbave, cdsA->avecds);
for (i = 0; i < pcanum; ++i)
{
/* find largest absolute value in the eigenvector PCA */
biggest = -DBL_MAX;
for (j = 0; j < vlen; ++j)
if (biggest < fabs(evecs[i][j]))
biggest = fabs(evecs[i][j]);
/* rescale (for rasmol really) so that the largest eigenvalue component
is = 99.99, i.e. the largest value allowable in the b-value column
of a PDB file */
for (j = 0; j < vlen; ++j)
cdsA->pdbA->avecds->tempFactor[j] = evecs[i][j] * (99.99 / biggest);
sprintf(pcafile_name, "%s_pc%d", algo->rootname, i+1);
//strncpy(pcafile_name, mystrcat(algo->rootname, "_pc"), 11);
//pcafile_name[11] = '\0';
//strncat(pcafile_name, itoa(i+1, &numstring[0], 10), 5);
WriteAvePDBCdsFile(cdsA->pdbA, pcafile_name);
}
cdsA->pcamat = evecs; /* DLT debug -- this should be copied or dealt with better */
cdsA->pcavals = evals;
fclose(pcastats_fp);
fclose(pcavecs_fp);
MatDestroy(&mat);
}
void
WritePCAFile(PDBCdsArray *parray, CdsArray *cdsA, const char *outfile_root)
{
FILE *pdbfile = NULL;
char pcafile_name[256];
int i, j, k, m;
double biggest = -DBL_MAX;
const double **mat = (const double **) cdsA->pcamat;
const int cvlen = cdsA->vlen;
const int pvlen = parray->vlen;
double tempFactor;
//char numstring[5];
char covcor_str[16] = "correlation";
/* find largest absolute value in the eigenvector PCA */
for (i = 0; i < algo->pca; ++i)
{
biggest = -DBL_MAX;
for (j = 0; j < cvlen; ++j)
{
/* printf("\n%3d %3d % f", i, j, mat[i][j]); */
if (biggest < fabs(mat[algo->pca - 1 - i][j]))
biggest = fabs(mat[algo->pca - 1 - i][j]);
}
/* } */
biggest = 99.99 / biggest;
/* for (i = 0; i < algo->pca; ++i) */
/* { */
/* rescale (for rasmol really) so that the largest eigenvector component
is = 99.99, i.e. the largest value allowable in the b-value column
of a PDB file */
if (algo->atoms == 0)
{
m = 0;
for (j = 0; j < cvlen; ++j)
{
/* skip inital PDBCds that may have been selected out */ /* DLT debug fix */
while (/* strncmp(cdsA->cds[0]->resName[j], parray->cds[0]->resName[m], 3) != 0 || */
cdsA->cds[0]->chainID[j] != parray->cds[0]->chainID[m] ||
cdsA->cds[0]->resSeq[j] != parray->cds[0]->resSeq[m])
{
++m;
if (m >= pvlen)
break;
}
/* while they match, set the B-factor according to the given PC */
while (/* strncmp(cdsA->cds[0]->resName[j], parray->cds[0]->resName[m], 3) == 0 && */
cdsA->cds[0]->chainID[j] == parray->cds[0]->chainID[m] &&
cdsA->cds[0]->resSeq[j] == parray->cds[0]->resSeq[m])
{
tempFactor = mat[algo->pca - 1 - i][j] * biggest;
/* printf("\n%4d %4d % f", j, m, tempFactor); */
for (k = 0; k < parray->cnum; ++k)
parray->cds[k]->tempFactor[m] = tempFactor;
++m;
if (m >= pvlen)
break;
}
if (m >= pvlen)
break;
}
}
else
{
for (j = 0; j < cvlen; ++j)
{
tempFactor = mat[algo->pca - 1 - i][j] * biggest;
for (k = 0; k < parray->cnum; ++k)
parray->cds[k]->tempFactor[j] = tempFactor;
}
}
sprintf(pcafile_name, "%s_pc%d.pdb", outfile_root, i+1);
/* strncpy(pcafile_name, outfile_root, strlen(outfile_root)); */
/* pcafile_name[strlen(outfile_root)] = '\0'; */
/* strncat(pcafile_name, "_pc", 4); */
/* strncat(pcafile_name, itoa(i+1, &numstring[0], 10), 5); */
/* strcat(pcafile_name, ".pdb"); */
pdbfile = fopen(pcafile_name, "w");
if (pdbfile ==NULL)
{
perror("\n ERROR");
fprintf(stderr,
"\n ERROR99: could not open file '%s' for writing. \n", pcafile_name);
PrintTheseusTag();
exit(EXIT_FAILURE);
}
if (algo->cormat == 0)
strncpy(covcor_str, "covariance", 10);
fprintf(pdbfile, "REMARK ===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-=\n");
fprintf(pdbfile, "REMARK + File made by Douglas Theobald's THESEUS program\n");
fprintf(pdbfile, "REMARK + Multiple maximum likelihood superpositioning\n");
fprintf(pdbfile, "REMARK + Principal component %3d of %s matrix in B-factor column\n", i+1, covcor_str);
fprintf(pdbfile, "REMARK + All B-factors scaled by %12.3f\n", biggest);
fprintf(pdbfile, "REMARK + dtheobald@brandeis.edu\n");
fprintf(pdbfile, "REMARK =-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===\n");
for (j = 0; j < parray->cnum; ++j)
{
fprintf(pdbfile, "MODEL %8d\n", j+1);
PrintPDBCds(pdbfile, parray->cds[j]);
fprintf(pdbfile, "ENDMDL\n");
}
fprintf(pdbfile, "END\n");
fclose(pdbfile);
}
PCADestroy(cdsA);
}
/* Writes out PDB format files with the PC eigenvector in the coordinate field.
Used by CNS/XPLOR in my morph script to incrementally add the PC to the
median PDB model. */
void
WritePCAMorphFile(PDBCdsArray *parray, CdsArray *cdsA, const char *outfile_root)
{
FILE *pdbfile = NULL;
char pcafile_name[256];
int i, j, m, pcanum;
double **vecs = cdsA->pcamat;
double *vals = cdsA->pcavals;
const int cvlen = 3 * cdsA->vlen;
const int pvlen = parray->vlen;
PDBCds *pcacds = NULL;
char covcor_str[16] = "correlation";
pcacds = PDBCdsInit();
PDBCdsAlloc(pcacds, pvlen);
PDBCdsCopyAll(pcacds, parray->cds[0]);
memset(pcacds->x, 0, pvlen * sizeof(double));
memset(pcacds->y, 0, pvlen * sizeof(double));
memset(pcacds->z, 0, pvlen * sizeof(double));
if (algo->pca > cdsA->cnum - 1)
pcanum = algo->pca = cdsA->cnum - 1;
else
pcanum = algo->pca;
CalcFullCovMat(cdsA);
/* Multiply each PCA by the sqrt of the corresponding eigenvalue.
If correlation matrix was used, we need to get back into std deviation space,
so multiply by the sqrt of the corresponding variance */
if (algo->cormat)
{
for (i = 0; i < pcanum; ++i)
for (j = 0; j < cvlen; ++j)
/* vecs[i][j] *= sqrt(cdsA->FullCovMat[j][j] * vals[i]); */
vecs[i][j] *= sqrt(cdsA->FullCovMat[j][j]);
}
else if (algo->cormat == 0)
{
for (i = 0; i < pcanum; ++i)
for (j = 0; j < cvlen; ++j)
vecs[i][j] *= sqrt(vals[i]);
}
for (i = 0; i < pcanum; ++i)
{
m = 0;
for (j = 0; j < cvlen; j += 3)
{
/* skip inital PDBCds that may have been selected out */
while (strncmp(cdsA->cds[0]->resName[j/3], parray->cds[0]->resName[m], 3) != 0 ||
cdsA->cds[0]->chainID[j/3] != parray->cds[0]->chainID[m] ||
cdsA->cds[0]->resSeq[j/3] != parray->cds[0]->resSeq[m])
{
++m;
}
/* while they match */
while (strncmp(cdsA->cds[0]->resName[j/3], parray->cds[0]->resName[m], 3) == 0 &&
cdsA->cds[0]->chainID[j/3] == parray->cds[0]->chainID[m] &&
cdsA->cds[0]->resSeq[j/3] == parray->cds[0]->resSeq[m])
{
pcacds->x[m] = vecs[pcanum - 1 - i][j+0];
pcacds->y[m] = vecs[pcanum - 1 - i][j+1];
pcacds->z[m] = vecs[pcanum - 1 - i][j+2];
++m;
if (m >= pvlen)
break;
}
if (m >= pvlen)
break;
}
sprintf(pcafile_name, "%s_pca%d_morph.pdb", outfile_root, i+1);
/* strncpy(pcafile_name, outfile_root, strlen(outfile_root)); */
/* pcafile_name[strlen(outfile_root)] = '\0'; */
/* strncat(pcafile_name, "_pca", 4); */
/* strncat(pcafile_name, itoa(i+1, &numstring[0], 10), 5); */
/* strncat(pcafile_name, "_morph", 6); */
/* strcat(pcafile_name, ".pdb"); */
pdbfile = fopen(pcafile_name, "w");
if (pdbfile == NULL)
{
perror("\n ERROR");
fprintf(stderr,
"\n ERROR99: could not open file '%s' for writing. \n", pcafile_name);
PrintTheseusTag();
exit(EXIT_FAILURE);
}
if (algo->cormat == 0)
strncpy(covcor_str, "covariance", 10);
fprintf(pdbfile, "REMARK ===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-=\n");
fprintf(pdbfile, "REMARK + File made by Douglas Theobald's THESEUS program \n");
fprintf(pdbfile, "REMARK + Multiple maximum likelihood superpositioning \n");
fprintf(pdbfile, "REMARK + Principal component #%d of %s matrix, one SD in cds fields \n", i+1, covcor_str);
fprintf(pdbfile, "REMARK + dtheobald@brandeis.edu \n");
fprintf(pdbfile, "REMARK =-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===\n");
PrintPDBCds(pdbfile, pcacds);
fprintf(pdbfile, "END\n");
fclose(pdbfile);
}
PDBCdsDestroy(&pcacds);
PCADestroy(cdsA);
}
void
WritePCAProjections(PDBCdsArray *parray, CdsArray *cdsA, const char *outfile_root)
{
FILE *pdbfile = NULL;
char pcafile_name[256];
int i, j, m, pcanum;
double c;
double **vecs = cdsA->pcamat;
double *vals = cdsA->pcavals;
const int cvlen = 3 * cdsA->vlen;
const int pvlen = parray->vlen;
PDBCds *pcacds = NULL;
//char numstring[5], tmpstring[5];
pcacds = PDBCdsInit();
PDBCdsAlloc(pcacds, pvlen);
PDBCdsCopyAll(pcacds, parray->cds[0]);
if (algo->pca > cdsA->cnum - 1)
pcanum = algo->pca = cdsA->cnum - 1;
else
pcanum = algo->pca;
CalcFullCovMat(cdsA);
/* Multiply each PCA by the sqrt of the corresponding eigenvalue.
If correlation matrix was used, we need to get back into std deviation space,
so multiply by the sqrt of the corresponding variance */
if (algo->cormat)
{
for (i = 0; i < pcanum; ++i)
for (j = 0; j < cvlen; ++j)
vecs[i][j] *= sqrt(cdsA->FullCovMat[j][j] * vals[i]);
}
else if (algo->cormat == 0)
{
for (i = 0; i < pcanum; ++i)
for (j = 0; j < cvlen; ++j)
vecs[i][j] *= sqrt(vals[i]);
}
/* for (j = 1; j <= cvlen; j++) */
/* printf("\n%f", vals[cvlen - j]); */
/* for (j = 0; j < cvlen; j++) */
/* printf("\n%f", vecs[cvlen-1][j]); */
for (i = 0; i < pcanum; ++i)
{
for (c = -3.0; c <= 3.0; c += 0.2)
{
m = 0;
for (j = 0; j < cvlen; j += 3)
{
/* skip inital PDBCds that may have been selected out */
while (strncmp(cdsA->cds[0]->resName[j/3], parray->cds[0]->resName[m], 3) ||
cdsA->cds[0]->chainID[j/3] != parray->cds[0]->chainID[m] ||
cdsA->cds[0]->resSeq[j/3] != parray->cds[0]->resSeq[m])
{
++m;
}
/* while they match */
while (strncmp(cdsA->cds[0]->resName[j/3], parray->cds[0]->resName[m], 3) == 0 &&
cdsA->cds[0]->chainID[j/3] == parray->cds[0]->chainID[m] &&
cdsA->cds[0]->resSeq[j/3] == parray->cds[0]->resSeq[m])
{
pcacds->x[m] = parray->cds[cdsA->cnum/2]->x[m] +
c * vecs[pcanum - 1 - i][j+0];
pcacds->y[m] = parray->cds[cdsA->cnum/2]->y[m] +
c * vecs[pcanum - 1 - i][j+1];
pcacds->z[m] = parray->cds[cdsA->cnum/2]->z[m] +
c * vecs[pcanum - 1 - i][j+2];
++m;
if (m >= pvlen)
break;
}
if (m >= pvlen)
break;
}
sprintf(pcafile_name, "%s_pca%d_%+3.1f.pdb", outfile_root, i+1, c);
/* strncpy(pcafile_name, outfile_root, strlen(outfile_root)); */
/* pcafile_name[strlen(outfile_root)] = '\0'; */
/* strncat(pcafile_name, "_pca", 4); */
/* strncat(pcafile_name, itoa(i+1, &numstring[0], 10), 5); */
/* sprintf(tmpstring, "_%+3.1f", c); */
/* strncat(pcafile_name, tmpstring, 5); */
/* strcat(pcafile_name, ".pdb"); */
pdbfile = fopen(pcafile_name, "w");
if (pdbfile == NULL)
{
perror("\n ERROR");
fprintf(stderr,
"\n ERROR99: could not open file '%s' for writing. \n", pcafile_name);
PrintTheseusTag();
exit(EXIT_FAILURE);
}
fprintf(pdbfile, "REMARK ===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-=\n");
fprintf(pdbfile, "REMARK + File made by Douglas Theobald's THESEUS program \n");
fprintf(pdbfile, "REMARK + Multiple maximum likelihood superpositioning \n");
fprintf(pdbfile, "REMARK + Principal component %d of correlation matrix in B-factor column \n", i+1);
fprintf(pdbfile, "REMARK + dtheobald@brandeis.edu \n");
fprintf(pdbfile, "REMARK =-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===-===\n");
PrintPDBCds(pdbfile, pcacds);
fprintf(pdbfile, "END\n");
fclose(pdbfile);
}
}
PDBCdsDestroy(&pcacds);
PCADestroy(cdsA);
}
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