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root/group/trunk/OOPSE/libmdtools/SimInfo.cpp
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Comparing trunk/OOPSE/libmdtools/SimInfo.cpp (file contents):
Revision 781 by tim, Mon Sep 22 23:07:57 2003 UTC vs.
Revision 1139 by gezelter, Wed Apr 28 22:06:29 2004 UTC

# Line 1 | Line 1
1 < #include <cstdlib>
2 < #include <cstring>
3 < #include <cmath>
1 > #include <stdlib.h>
2 > #include <string.h>
3 > #include <math.h>
4  
5   #include <iostream>
6   using namespace std;
# Line 12 | Line 12 | using namespace std;
12  
13   #include "fortranWrappers.hpp"
14  
15 + #include "MatVec3.h"
16 +
17   #ifdef IS_MPI
18   #include "mpiSimulation.hpp"
19   #endif
# Line 20 | Line 22 | inline double roundMe( double x ){
22    return ( x >= 0 ) ? floor( x + 0.5 ) : ceil( x - 0.5 );
23   }
24            
25 + inline double min( double a, double b ){
26 +  return (a < b ) ? a : b;
27 + }
28  
29   SimInfo* currentInfo;
30  
31   SimInfo::SimInfo(){
32 <  excludes = NULL;
32 >
33    n_constraints = 0;
34    nZconstraints = 0;
35    n_oriented = 0;
# Line 37 | Line 42 | SimInfo::SimInfo(){
42    thermalTime = 0.0;
43    currentTime = 0.0;
44    rCut = 0.0;
40 –  origRcut = -1.0;
45    ecr = 0.0;
42 –  origEcr = -1.0;
46    est = 0.0;
44 –  oldEcr = 0.0;
45 –  oldRcut = 0.0;
47  
48 <  haveOrigRcut = 0;
49 <  haveOrigEcr = 0;
48 >  haveRcut = 0;
49 >  haveEcr = 0;
50    boxIsInit = 0;
51    
52    resetTime = 1e99;
52 –  
53  
54 +  orthoRhombic = 0;
55 +  orthoTolerance = 1E-6;
56 +  useInitXSstate = true;
57 +
58    usePBC = 0;
59    useLJ = 0;
60    useSticky = 0;
61 <  useDipole = 0;
61 >  useCharges = 0;
62 >  useDipoles = 0;
63    useReactionField = 0;
64    useGB = 0;
65    useEAM = 0;
66 +  useMolecularCutoffs = 0;
67  
68 +  excludes = Exclude::Instance();
69 +
70    myConfiguration = new SimState();
71  
72 +  has_minimizer = false;
73 +  the_minimizer =NULL;
74 +
75    wrapMeSimInfo( this );
76   }
77  
# Line 94 | Line 105 | void SimInfo::setBoxM( double theBox[3][3] ){
105  
106   void SimInfo::setBoxM( double theBox[3][3] ){
107    
108 <  int i, j, status;
98 <  double smallestBoxL, maxCutoff;
108 >  int i, j;
109    double FortranHmat[9]; // to preserve compatibility with Fortran the
110                           // ordering in the array is as follows:
111                           // [ 0 3 6 ]
# Line 103 | Line 113 | void SimInfo::setBoxM( double theBox[3][3] ){
113                           // [ 2 5 8 ]
114    double FortranHmatInv[9]; // the inverted Hmat (for Fortran);
115  
106 –  
116    if( !boxIsInit ) boxIsInit = 1;
117  
118    for(i=0; i < 3; i++)
# Line 147 | Line 156 | void SimInfo::calcHmatInv( void ) {
156  
157   void SimInfo::calcHmatInv( void ) {
158    
159 +  int oldOrtho;
160    int i,j;
161    double smallDiag;
162    double tol;
# Line 154 | Line 164 | void SimInfo::calcHmatInv( void ) {
164  
165    invertMat3( Hmat, HmatInv );
166  
157 –  // Check the inverse to make sure it is sane:
158 –
159 –  matMul3( Hmat, HmatInv, sanity );
160 –    
167    // check to see if Hmat is orthorhombic
168    
169 <  smallDiag = Hmat[0][0];
164 <  if(smallDiag > Hmat[1][1]) smallDiag = Hmat[1][1];
165 <  if(smallDiag > Hmat[2][2]) smallDiag = Hmat[2][2];
166 <  tol = smallDiag * 1E-6;
169 >  oldOrtho = orthoRhombic;
170  
171 +  smallDiag = fabs(Hmat[0][0]);
172 +  if(smallDiag > fabs(Hmat[1][1])) smallDiag = fabs(Hmat[1][1]);
173 +  if(smallDiag > fabs(Hmat[2][2])) smallDiag = fabs(Hmat[2][2]);
174 +  tol = smallDiag * orthoTolerance;
175 +
176    orthoRhombic = 1;
177    
178    for (i = 0; i < 3; i++ ) {
179      for (j = 0 ; j < 3; j++) {
180        if (i != j) {
181          if (orthoRhombic) {
182 <          if (Hmat[i][j] >= tol) orthoRhombic = 0;
182 >          if ( fabs(Hmat[i][j]) >= tol) orthoRhombic = 0;
183          }        
184        }
185      }
186    }
179 – }
187  
188 < double SimInfo::matDet3(double a[3][3]) {
189 <  int i, j, k;
190 <  double determinant;
191 <
192 <  determinant = 0.0;
193 <
194 <  for(i = 0; i < 3; i++) {
195 <    j = (i+1)%3;
196 <    k = (i+2)%3;
197 <
198 <    determinant += a[0][i] * (a[1][j]*a[2][k] - a[1][k]*a[2][j]);
192 <  }
193 <
194 <  return determinant;
195 < }
196 <
197 < void SimInfo::invertMat3(double a[3][3], double b[3][3]) {
198 <  
199 <  int  i, j, k, l, m, n;
200 <  double determinant;
201 <
202 <  determinant = matDet3( a );
203 <
204 <  if (determinant == 0.0) {
205 <    sprintf( painCave.errMsg,
206 <             "Can't invert a matrix with a zero determinant!\n");
207 <    painCave.isFatal = 1;
208 <    simError();
209 <  }
210 <
211 <  for (i=0; i < 3; i++) {
212 <    j = (i+1)%3;
213 <    k = (i+2)%3;
214 <    for(l = 0; l < 3; l++) {
215 <      m = (l+1)%3;
216 <      n = (l+2)%3;
217 <      
218 <      b[l][i] = (a[j][m]*a[k][n] - a[j][n]*a[k][m]) / determinant;
188 >  if( oldOrtho != orthoRhombic ){
189 >    
190 >    if( orthoRhombic ){
191 >      sprintf( painCave.errMsg,
192 >               "OOPSE is switching from the default Non-Orthorhombic\n"
193 >               "\tto the faster Orthorhombic periodic boundary computations.\n"
194 >               "\tThis is usually a good thing, but if you wan't the\n"
195 >               "\tNon-Orthorhombic computations, make the orthoBoxTolerance\n"
196 >               "\tvariable ( currently set to %G ) smaller.\n",
197 >               orthoTolerance);
198 >      simError();
199      }
200 <  }
201 < }
202 <
203 < void SimInfo::matMul3(double a[3][3], double b[3][3], double c[3][3]) {
204 <  double r00, r01, r02, r10, r11, r12, r20, r21, r22;
205 <
206 <  r00 = a[0][0]*b[0][0] + a[0][1]*b[1][0] + a[0][2]*b[2][0];
207 <  r01 = a[0][0]*b[0][1] + a[0][1]*b[1][1] + a[0][2]*b[2][1];
208 <  r02 = a[0][0]*b[0][2] + a[0][1]*b[1][2] + a[0][2]*b[2][2];
209 <  
230 <  r10 = a[1][0]*b[0][0] + a[1][1]*b[1][0] + a[1][2]*b[2][0];
231 <  r11 = a[1][0]*b[0][1] + a[1][1]*b[1][1] + a[1][2]*b[2][1];
232 <  r12 = a[1][0]*b[0][2] + a[1][1]*b[1][2] + a[1][2]*b[2][2];
233 <  
234 <  r20 = a[2][0]*b[0][0] + a[2][1]*b[1][0] + a[2][2]*b[2][0];
235 <  r21 = a[2][0]*b[0][1] + a[2][1]*b[1][1] + a[2][2]*b[2][1];
236 <  r22 = a[2][0]*b[0][2] + a[2][1]*b[1][2] + a[2][2]*b[2][2];
237 <  
238 <  c[0][0] = r00; c[0][1] = r01; c[0][2] = r02;
239 <  c[1][0] = r10; c[1][1] = r11; c[1][2] = r12;
240 <  c[2][0] = r20; c[2][1] = r21; c[2][2] = r22;
241 < }
242 <
243 < void SimInfo::matVecMul3(double m[3][3], double inVec[3], double outVec[3]) {
244 <  double a0, a1, a2;
245 <
246 <  a0 = inVec[0];  a1 = inVec[1];  a2 = inVec[2];
247 <
248 <  outVec[0] = m[0][0]*a0 + m[0][1]*a1 + m[0][2]*a2;
249 <  outVec[1] = m[1][0]*a0 + m[1][1]*a1 + m[1][2]*a2;
250 <  outVec[2] = m[2][0]*a0 + m[2][1]*a1 + m[2][2]*a2;
251 < }
252 <
253 < void SimInfo::transposeMat3(double in[3][3], double out[3][3]) {
254 <  double temp[3][3];
255 <  int i, j;
256 <
257 <  for (i = 0; i < 3; i++) {
258 <    for (j = 0; j < 3; j++) {
259 <      temp[j][i] = in[i][j];
200 >    else {
201 >      sprintf( painCave.errMsg,
202 >               "OOPSE is switching from the faster Orthorhombic to the more\n"
203 >               "\tflexible Non-Orthorhombic periodic boundary computations.\n"
204 >               "\tThis is usually because the box has deformed under\n"
205 >               "\tNPTf integration. If you wan't to live on the edge with\n"
206 >               "\tthe Orthorhombic computations, make the orthoBoxTolerance\n"
207 >               "\tvariable ( currently set to %G ) larger.\n",
208 >               orthoTolerance);
209 >      simError();
210      }
211    }
262 –  for (i = 0; i < 3; i++) {
263 –    for (j = 0; j < 3; j++) {
264 –      out[i][j] = temp[i][j];
265 –    }
266 –  }
212   }
268 –  
269 – void SimInfo::printMat3(double A[3][3] ){
213  
271 –  std::cerr
272 –            << "[ " << A[0][0] << ", " << A[0][1] << ", " << A[0][2] << " ]\n"
273 –            << "[ " << A[1][0] << ", " << A[1][1] << ", " << A[1][2] << " ]\n"
274 –            << "[ " << A[2][0] << ", " << A[2][1] << ", " << A[2][2] << " ]\n";
275 – }
276 –
277 – void SimInfo::printMat9(double A[9] ){
278 –
279 –  std::cerr
280 –            << "[ " << A[0] << ", " << A[1] << ", " << A[2] << " ]\n"
281 –            << "[ " << A[3] << ", " << A[4] << ", " << A[5] << " ]\n"
282 –            << "[ " << A[6] << ", " << A[7] << ", " << A[8] << " ]\n";
283 – }
284 –
285 –
286 – void SimInfo::crossProduct3(double a[3],double b[3], double out[3]){
287 –
288 –      out[0] = a[1] * b[2] - a[2] * b[1];
289 –      out[1] = a[2] * b[0] - a[0] * b[2] ;
290 –      out[2] = a[0] * b[1] - a[1] * b[0];
291 –      
292 – }
293 –
294 – double SimInfo::dotProduct3(double a[3], double b[3]){
295 –  return a[0]*b[0] + a[1]*b[1]+ a[2]*b[2];
296 – }
297 –
298 – double SimInfo::length3(double a[3]){
299 –  return sqrt(a[0]*a[0] + a[1]*a[1] + a[2]*a[2]);
300 – }
301 –
214   void SimInfo::calcBoxL( void ){
215  
216    double dx, dy, dz, dsq;
305 –  int i;
217  
218    // boxVol = Determinant of Hmat
219  
# Line 355 | Line 266 | double SimInfo::calcMaxCutOff(){
266    rk[0] = Hmat[0][2];
267    rk[1] = Hmat[1][2];
268    rk[2] = Hmat[2][2];
269 <  
270 <  crossProduct3(ri,rj, rij);
271 <  distXY = dotProduct3(rk,rij) / length3(rij);
269 >    
270 >  crossProduct3(ri, rj, rij);
271 >  distXY = dotProduct3(rk,rij) / norm3(rij);
272  
273    crossProduct3(rj,rk, rjk);
274 <  distYZ = dotProduct3(ri,rjk) / length3(rjk);
274 >  distYZ = dotProduct3(ri,rjk) / norm3(rjk);
275  
276    crossProduct3(rk,ri, rki);
277 <  distZX = dotProduct3(rj,rki) / length3(rki);
277 >  distZX = dotProduct3(rj,rki) / norm3(rki);
278  
279    minDist = min(min(distXY, distYZ), distZX);
280    return minDist/2;
# Line 372 | Line 283 | void SimInfo::wrapVector( double thePos[3] ){
283  
284   void SimInfo::wrapVector( double thePos[3] ){
285  
286 <  int i, j, k;
286 >  int i;
287    double scaled[3];
288  
289    if( !orthoRhombic ){
# Line 410 | Line 321 | int SimInfo::getNDF(){
321  
322  
323   int SimInfo::getNDF(){
324 <  int ndf_local, ndf;
324 >  int ndf_local;
325 >
326 >  ndf_local = 0;
327    
328 <  ndf_local = 3 * n_atoms + 3 * n_oriented - n_constraints;
328 >  for(int i = 0; i < integrableObjects.size(); i++){
329 >    ndf_local += 3;
330 >    if (integrableObjects[i]->isDirectional()) {
331 >      if (integrableObjects[i]->isLinear())
332 >        ndf_local += 2;
333 >      else
334 >        ndf_local += 3;
335 >    }
336 >  }
337  
338 +  // n_constraints is local, so subtract them on each processor:
339 +
340 +  ndf_local -= n_constraints;
341 +
342   #ifdef IS_MPI
343    MPI_Allreduce(&ndf_local,&ndf,1,MPI_INT,MPI_SUM, MPI_COMM_WORLD);
344   #else
345    ndf = ndf_local;
346   #endif
347  
348 +  // nZconstraints is global, as are the 3 COM translations for the
349 +  // entire system:
350 +
351    ndf = ndf - 3 - nZconstraints;
352  
353    return ndf;
354   }
355  
356   int SimInfo::getNDFraw() {
357 <  int ndfRaw_local, ndfRaw;
357 >  int ndfRaw_local;
358  
359    // Raw degrees of freedom that we have to set
360 <  ndfRaw_local = 3 * n_atoms + 3 * n_oriented;
361 <  
360 >  ndfRaw_local = 0;
361 >
362 >  for(int i = 0; i < integrableObjects.size(); i++){
363 >    ndfRaw_local += 3;
364 >    if (integrableObjects[i]->isDirectional()) {
365 >       if (integrableObjects[i]->isLinear())
366 >        ndfRaw_local += 2;
367 >      else
368 >        ndfRaw_local += 3;
369 >    }
370 >  }
371 >    
372   #ifdef IS_MPI
373    MPI_Allreduce(&ndfRaw_local,&ndfRaw,1,MPI_INT,MPI_SUM, MPI_COMM_WORLD);
374   #else
# Line 441 | Line 379 | int SimInfo::getNDFtranslational() {
379   }
380  
381   int SimInfo::getNDFtranslational() {
382 <  int ndfTrans_local, ndfTrans;
382 >  int ndfTrans_local;
383  
384 <  ndfTrans_local = 3 * n_atoms - n_constraints;
384 >  ndfTrans_local = 3 * integrableObjects.size() - n_constraints;
385  
386 +
387   #ifdef IS_MPI
388    MPI_Allreduce(&ndfTrans_local,&ndfTrans,1,MPI_INT,MPI_SUM, MPI_COMM_WORLD);
389   #else
# Line 456 | Line 395 | int SimInfo::getNDFtranslational() {
395    return ndfTrans;
396   }
397  
398 + int SimInfo::getTotIntegrableObjects() {
399 +  int nObjs_local;
400 +  int nObjs;
401 +
402 +  nObjs_local =  integrableObjects.size();
403 +
404 +
405 + #ifdef IS_MPI
406 +  MPI_Allreduce(&nObjs_local,&nObjs,1,MPI_INT,MPI_SUM, MPI_COMM_WORLD);
407 + #else
408 +  nObjs = nObjs_local;
409 + #endif
410 +
411 +
412 +  return nObjs;
413 + }
414 +
415   void SimInfo::refreshSim(){
416  
417    simtype fInfo;
# Line 465 | Line 421 | void SimInfo::refreshSim(){
421  
422    fInfo.dielect = 0.0;
423  
424 <  if( useDipole ){
424 >  if( useDipoles ){
425      if( useReactionField )fInfo.dielect = dielectric;
426    }
427  
# Line 474 | Line 430 | void SimInfo::refreshSim(){
430    fInfo.SIM_uses_LJ = useLJ;
431    fInfo.SIM_uses_sticky = useSticky;
432    //fInfo.SIM_uses_sticky = 0;
433 <  fInfo.SIM_uses_dipoles = useDipole;
433 >  fInfo.SIM_uses_charges = useCharges;
434 >  fInfo.SIM_uses_dipoles = useDipoles;
435    //fInfo.SIM_uses_dipoles = 0;
436 <  //fInfo.SIM_uses_RF = useReactionField;
437 <  fInfo.SIM_uses_RF = 0;
436 >  fInfo.SIM_uses_RF = useReactionField;
437 >  //fInfo.SIM_uses_RF = 0;
438    fInfo.SIM_uses_GB = useGB;
439    fInfo.SIM_uses_EAM = useEAM;
440 +  fInfo.SIM_uses_molecular_cutoffs = useMolecularCutoffs;
441  
442 <  excl = Exclude::getArray();
442 >  n_exclude = excludes->getSize();
443 >  excl = excludes->getFortranArray();
444  
445   #ifdef IS_MPI
446    n_global = mpiSim->getTotAtoms();
# Line 514 | Line 473 | void SimInfo::refreshSim(){
473    this->ndfTrans = this->getNDFtranslational();
474   }
475  
476 + void SimInfo::setDefaultRcut( double theRcut ){
477  
478 < void SimInfo::setRcut( double theRcut ){
478 >  haveRcut = 1;
479 >  rCut = theRcut;
480  
481 <  if( !haveOrigRcut ){
521 <    haveOrigRcut = 1;
522 <    origRcut = theRcut;
523 <  }
481 >  ( rCut > ecr )? rList = rCut + 1.0: rList = ecr + 1.0;
482  
483 <  rCut = theRcut;
526 <  checkCutOffs();
483 >  notifyFortranCutOffs( &rCut, &rList, &ecr, &est );
484   }
485  
486 < void SimInfo::setEcr( double theEcr ){
486 > void SimInfo::setDefaultEcr( double theEcr ){
487  
488 <  if( !haveOrigEcr ){
532 <    haveOrigEcr = 1;
533 <    origEcr = theEcr;
534 <  }
535 <
488 >  haveEcr = 1;
489    ecr = theEcr;
490 <  checkCutOffs();
490 >  
491 >  ( rCut > ecr )? rList = rCut + 1.0: rList = ecr + 1.0;
492 >
493 >  notifyFortranCutOffs( &rCut, &rList, &ecr, &est );
494   }
495  
496 < void SimInfo::setEcr( double theEcr, double theEst ){
496 > void SimInfo::setDefaultEcr( double theEcr, double theEst ){
497  
498    est = theEst;
499 <  setEcr( theEcr );
499 >  setDefaultEcr( theEcr );
500   }
501  
502  
503   void SimInfo::checkCutOffs( void ){
548 –
549 –  int cutChanged = 0;
504    
505    if( boxIsInit ){
506      
507      //we need to check cutOffs against the box
508 <
509 <    //detect the change of rCut
556 <    if(( maxCutoff > rCut )&&(usePBC)){
557 <      if( rCut < origRcut ){
558 <        rCut = origRcut;
559 <        
560 <        if (rCut > maxCutoff)
561 <          rCut = maxCutoff;
562 <  
563 <          sprintf( painCave.errMsg,
564 <                    "New Box size is setting the long range cutoff radius "
565 <                    "to %lf at time %lf\n",
566 <                    rCut, currentTime );
567 <          painCave.isFatal = 0;
568 <          simError();
569 <      }
570 <    }
571 <    else if ((rCut > maxCutoff)&&(usePBC)) {
508 >    
509 >    if( rCut > maxCutoff ){
510        sprintf( painCave.errMsg,
511 <               "New Box size is setting the long range cutoff radius "
512 <               "to %lf at time %lf\n",
513 <               maxCutoff, currentTime );
514 <      painCave.isFatal = 0;
511 >               "LJrcut is too large for the current periodic box.\n"
512 >               "\tCurrent Value of LJrcut = %G at time %G\n "
513 >               "\tThis is larger than half of at least one of the\n"
514 >               "\tperiodic box vectors.  Right now, the Box matrix is:\n"
515 >               "\n"
516 >               "\t[ %G %G %G ]\n"
517 >               "\t[ %G %G %G ]\n"
518 >               "\t[ %G %G %G ]\n",
519 >               rCut, currentTime,
520 >               Hmat[0][0], Hmat[0][1], Hmat[0][2],
521 >               Hmat[1][0], Hmat[1][1], Hmat[1][2],
522 >               Hmat[2][0], Hmat[2][1], Hmat[2][2]);
523 >      painCave.isFatal = 1;
524        simError();
578 –      rCut = maxCutoff;
525      }
526 <
527 <
528 <    //detect the change of ecr
529 <    if( maxCutoff > ecr ){
530 <      if( ecr < origEcr ){
531 <        ecr = origEcr;
532 <        if (ecr > maxCutoff) ecr = maxCutoff;
533 <  
534 <          sprintf( painCave.errMsg,
535 <                    "New Box size is setting the electrostaticCutoffRadius "
536 <                    "to %lf at time %lf\n",
537 <                    ecr, currentTime );
538 <            painCave.isFatal = 0;
539 <            simError();
526 >    
527 >    if( haveEcr ){
528 >      if( ecr > maxCutoff ){
529 >        sprintf( painCave.errMsg,
530 >                 "electrostaticCutoffRadius is too large for the current\n"
531 >                 "\tperiodic box.\n\n"
532 >                 "\tCurrent Value of ECR = %G at time %G\n "
533 >                 "\tThis is larger than half of at least one of the\n"
534 >                 "\tperiodic box vectors.  Right now, the Box matrix is:\n"
535 >                 "\n"
536 >                 "\t[ %G %G %G ]\n"
537 >                 "\t[ %G %G %G ]\n"
538 >                 "\t[ %G %G %G ]\n",
539 >                 ecr, currentTime,
540 >                 Hmat[0][0], Hmat[0][1], Hmat[0][2],
541 >                 Hmat[1][0], Hmat[1][1], Hmat[1][2],
542 >                 Hmat[2][0], Hmat[2][1], Hmat[2][2]);
543 >        painCave.isFatal = 1;
544 >        simError();
545        }
546      }
596 –    else if( ecr > maxCutoff){
597 –      sprintf( painCave.errMsg,
598 –               "New Box size is setting the electrostaticCutoffRadius "
599 –               "to %lf at time %lf\n",
600 –               maxCutoff, currentTime  );
601 –      painCave.isFatal = 0;
602 –      simError();      
603 –      ecr = maxCutoff;
604 –    }
605 –
606 –    if( (oldEcr != ecr) || ( oldRcut != rCut ) ) cutChanged = 1;
607 –    
608 –    // rlist is the 1.0 plus max( rcut, ecr )
609 –    
610 –    ( rCut > ecr )? rList = rCut + 1.0: rList = ecr + 1.0;
611 –    
612 –    if( cutChanged ){
613 –      
614 –      notifyFortranCutOffs( &rCut, &rList, &ecr, &est );
615 –    }
616 –    
617 –    oldEcr = ecr;
618 –    oldRcut = rCut;
619 –    
547    } else {
548      // initialize this stuff before using it, OK?
549      sprintf( painCave.errMsg,
550 <             "Trying to check cutoffs without a box. Be smarter.\n" );
550 >             "Trying to check cutoffs without a box.\n"
551 >             "\tOOPSE should have better programmers than that.\n" );
552      painCave.isFatal = 1;
553      simError();      
554    }
# Line 663 | Line 591 | GenericData* SimInfo::getProperty(const string& propNa
591      return NULL;  
592   }
593  
666 – vector<GenericData*> SimInfo::getProperties(){
667 –
668 –  vector<GenericData*> result;
669 –  map<string, GenericData*>::iterator i;
670 –  
671 –  for(i = properties.begin(); i != properties.end(); i++)
672 –    result.push_back((*i).second);
673 –    
674 –  return result;
675 – }
676 –
677 – double SimInfo::matTrace3(double m[3][3]){
678 –  double trace;
679 –  trace = m[0][0] + m[1][1] + m[2][2];
680 –
681 –  return trace;
682 – }

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