DOFMatrix.cc 19 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
#include "DOFMatrix.h"
#include <algorithm>
#include <png.h>
#include "QPsiPhi.h"
#include "BasisFunction.h"
#include "Boundary.h"
#include "DOFAdmin.h"
#include "ElInfo.h"
#include "FiniteElemSpace.h"
#include "Mesh.h"
#include "DOFVector.h"
#include "Operator.h"
#include "BoundaryCondition.h"
#include "BoundaryManager.h"
#include "ElementMatrix.h"
#include "Assembler.h"

namespace AMDiS {

  DOFMatrix *DOFMatrix::traversePtr = NULL;

  DOFMatrix::DOFMatrix()
  {
    rowFESpace = NULL;
    colFESpace = NULL;
  }

  DOFMatrix::DOFMatrix(const FiniteElemSpace* rowFESpace_,
		       const FiniteElemSpace* colFESpace_,
		       ::std::string name_)
    : rowFESpace(rowFESpace_),
      colFESpace(colFESpace_),
      name(name_), 
      coupleMatrix(false)
  {
    TEST_EXIT(rowFESpace)("no rowFESpace\n");
  
38
    if (!colFESpace) {
39
40
41
42
43
44
45
      colFESpace = rowFESpace;
    }

    if (rowFESpace && rowFESpace->getAdmin())
      (const_cast<DOFAdmin*>( rowFESpace->getAdmin()))->addDOFIndexed(this);

    boundaryManager = NEW BoundaryManager;
Thomas Witkowski's avatar
Thomas Witkowski committed
46
47
    elementMatrix = NEW ElementMatrix(rowFESpace->getBasisFcts()->getNumber(),
				      colFESpace->getBasisFcts()->getNumber());
48
49
50
  }

  DOFMatrix::DOFMatrix(const DOFMatrix& rhs)
Thomas Witkowski's avatar
Thomas Witkowski committed
51
    : name(rhs.name + "copy")
52
  {
53
    *this = rhs;
54
55
56
57
58
59
    if (rowFESpace && rowFESpace->getAdmin())
      (const_cast<DOFAdmin*>( rowFESpace->getAdmin()))->addDOFIndexed(this);
  }

  DOFMatrix::~DOFMatrix()
  {
60
61
    FUNCNAME("DOFMatrix::~DOFMatrix()");

62
    if (rowFESpace && rowFESpace->getAdmin()) {
63
64
      (const_cast<DOFAdmin*>(rowFESpace->getAdmin()))->removeDOFIndexed(this);
    }  
Thomas Witkowski's avatar
Thomas Witkowski committed
65
66
67

    if (elementMatrix)
      DELETE elementMatrix;
68
69
70
71
72
73
74
75
76
77
78
79
80
  }

  void DOFMatrix::print() const
  {
    FUNCNAME("DOFMatrix::print()");

    int sizeUsed = rowFESpace->getAdmin()->getUsedSize();

    if (static_cast<int>(matrix.size()) < sizeUsed) {
      WARNING("DOFMatrix not yet initialized\n");
      return;
    }

Thomas Witkowski's avatar
Thomas Witkowski committed
81
82
    for (int i = 0; i < sizeUsed; i++) { 
      DOFMatrix::MatrixRow row = matrix[i];
83
84
      MSG("row %3d:",i);
      int rowSize = static_cast<int>( row.size());
Thomas Witkowski's avatar
Thomas Witkowski committed
85
86
87
      for (int j = 0; j < rowSize; j++) {
	int jcol = row[j].col;
	if (entryUsed(i, j)) {
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
	  Msg::print(" (%3d,%20.17lf)", jcol, row[j].entry);
	}
      }
      Msg::print("\n");
    }
  }

  void DOFMatrix::printRow(int i) const
  {
    FUNCNAME("DOFMatrix::printRow()");

    int sizeUsed = rowFESpace->getAdmin()->getUsedSize();

    if (static_cast<int>(matrix.size()) < sizeUsed) {
      WARNING("DOFMatrix not yet initialized\n");
      return;
    }

    DOFMatrix::MatrixRow row = matrix[i];
    MSG("row %3d:",i);
    int rowSize = static_cast<int>( row.size());
    for (int j = 0; j < rowSize; j++) {
      int jcol = row[j].col;
      if (entryUsed(i,j)) {
	Msg::print(" (%3d,%20.17lf)", jcol, row[j].entry);
      }
    }
    Msg::print("\n");   
  }

  /****************************************************************************/
  /*  clear: remove all entries from dof_matrix                               */
  /****************************************************************************/

  void DOFMatrix::clear()
  {
124
125
    int mSize = static_cast<int>(matrix.size());
    for (int i = 0; i < mSize; i++) {
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
      matrix[i].resize(0);
    }
    return;
  }

  bool DOFMatrix::symmetric()
  {
    FUNCNAME("DOFMatrix::symmetric()");

    DegreeOfFreedom row, col;
    double entry, tol = 1e-5;

    DOFMatrix::Iterator matrixRow(this, USED_DOFS);

    for (matrixRow.reset(); !matrixRow.end(); ++matrixRow) {
      row = matrixRow.getDOFIndex();
      int rowSize = matrixRow->size();
      for (int i = 0; i < rowSize; i++) {
	col = (*matrixRow)[i].col;
	entry = (*matrixRow)[i].entry;
	if (abs(entry - logAcc(col, row)) > tol) {
	  MSG("matrix[%d][%d] = %e, matrix[%d][%d] = %e\n",
	      row, col, entry, col, row, logAcc(col, row));

	  return false;
	}
      }
    }

    return true;
  }

  void DOFMatrix::test()
  {
    FUNCNAME("DOFMatrix::test()");

    int non_symmetric = 0, found = 0;

    /* test symmetry */
    for (int i = 0; i < static_cast<int>(matrix.size()); i++) { 
      double sum = 0.0;
      DOFMatrix::MatrixRow *row = &matrix[i];
      for (int j = 0; j < static_cast<int>(row->size()); j++) {
	int jcol = (*row)[j].col;
	if (entryUsed(i, j)) {
	  found = 0;
	  if ((*row)[j].entry != (*row)[j].entry) {
	    MSG("mat[%d,%d]=%10.5e ???\n", i, jcol, (*row)[j].entry);
	    WAIT;
	  }
	  DOFMatrix::MatrixRow *row2 = &matrix[jcol];
	  for (int k = 0; k < static_cast<int>(row->size()); k++) {
	    int kcol = (*row)[k].col;
	    if (entryUsed(jcol, k)) {
	      if (kcol == i) {
		found = 1;
		if (abs((*row2)[k].entry - (*row)[j].entry) > 1.E-5) {
		  non_symmetric = 1;
		  MSG("mat[%d,%d]=%10.5e != mat[%d,%d]=%10.5e\n",
		      i, jcol, (*row)[j].entry, jcol, i, (*row2)[k].entry);
		}
		row2 = NULL;
		break;
	      }
	    }
	  }
	  if (!found) {
	    non_symmetric = 1;
	    MSG("mat[%d,%d] not found\n", jcol, i);
	  }
	}
      }
      if (abs(sum) > 1.E-5) {
	MSG("Zeilensumme[%d] = %10.5e\n", i, sum);
      }
    }

    if (non_symmetric) {
      MSG("matrix `%s' not symmetric.\n", name.data());
    } else {
      MSG("matrix `%s' is symmetric.\n", name.data());
    }
  }


  DOFMatrix& DOFMatrix::operator=(const DOFMatrix& rhs)
  {
    rowFESpace = rhs.rowFESpace;
    colFESpace = rhs.colFESpace;
    operators = rhs.operators;
    operatorFactor = rhs.operatorFactor;
    matrix = rhs.matrix;
    if (rhs.boundaryManager) {
      boundaryManager = new BoundaryManager(*rhs.boundaryManager);
    } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
221
222
223
224
225
226
227
      boundaryManager = NULL;
    }
    if (rhs.elementMatrix) {
      elementMatrix = NEW ElementMatrix(rowFESpace->getBasisFcts()->getNumber(),
					colFESpace->getBasisFcts()->getNumber());
    } else {
      elementMatrix = NULL;
228
229
230
231
232
233
234
235
236
237
238
239
240
    }

    return *this;
  }


  void DOFMatrix::addElementMatrix(double sign, 
				   const ElementMatrix &elMat, 
				   const BoundaryType *bound,
				   bool add)
  {
    FUNCNAME("DOFMatrix::addElementMatrix");

Thomas Witkowski's avatar
Thomas Witkowski committed
241
    DegreeOfFreedom row;
242

Thomas Witkowski's avatar
Thomas Witkowski committed
243
244
    int nRow = elMat.rowIndices.getSize();
    int nCol = elMat.colIndices.getSize();
245

Thomas Witkowski's avatar
Thomas Witkowski committed
246
    for (int i = 0; i < nRow; i++)  {   // for all rows of element matrix
247
248
249
250
251
252
253
      row = elMat.rowIndices[i];

      BoundaryCondition *condition = 
	bound ? boundaryManager->getBoundaryCondition(bound[i]) : NULL;

      if (condition && condition->isDirichlet()) {
	MatrixRow *matrixRow = &(matrix[row]);
254
	if (coupleMatrix) {
255
256
257
258
259
260
	  matrixRow->resize(0);
	} else {
	  matrixRow->resize(1);
	  ((*matrixRow)[0]).col = row;
	  ((*matrixRow)[0]).entry = 1.0;
	}     
Thomas Witkowski's avatar
Thomas Witkowski committed
261
      } else {     
Thomas Witkowski's avatar
Thomas Witkowski committed
262
263
264
	for (int j = 0; j < nCol; j++) {  // for all columns
	  addSparseDOFEntry(sign, row, elMat.colIndices[j], 
			    elMat[i][j], add); 
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
	}
      }
    }
  }

  double DOFMatrix::logAcc(DegreeOfFreedom a,DegreeOfFreedom b) const
  {
    int j;

    for (j = 0; j < static_cast<int>(matrix[a].size()); j++) 
      if (b == matrix[a][j].col) 
	break;

    return (j == static_cast<int>(matrix[a].size())) ? 0.0 : matrix[a][j].entry;
  }

  void DOFMatrix::changeColOfEntry(DegreeOfFreedom a,
				   DegreeOfFreedom b,
				   DegreeOfFreedom c)
  {
    int j;

    for (j=0; j<static_cast<int>(matrix[a].size());j++) 
      if (b==matrix[a][j].col) break;
    if (j!=static_cast<int>(matrix[a].size())) matrix[a][j].col=c;
  }

292
293
294
  void DOFMatrix::addSparseDOFEntry(double sign, int irow, 
				    int jcol, double entry,
				    bool add)
295
  {
296
    FUNCNAME("DOFMatrix::addSparseDOFEntry()");
297
298
299

    MatrixRow *row = &(matrix[irow]);

300
    if (add && !entry) 
301
      return;
302

303
    int freeCol = -1;
Thomas Witkowski's avatar
Thomas Witkowski committed
304
    int rowSize = static_cast<int>(row->size());
305

306
307
308
    TEST_EXIT_DBG(jcol >= 0 && 
		  jcol < colFESpace->getAdmin()->getUsedSize())
      ("Column index %d out of range 0-%d\n", jcol, colFESpace->getAdmin()->getUsedSize() - 1);
309
310

    // first entry is diagonal entry
Thomas Witkowski's avatar
Thomas Witkowski committed
311
312
313
314
315
    if ((rowSize == 0) && (rowFESpace == colFESpace)) {
      MatEntry newEntry = {irow, 0.0};
      row->push_back(newEntry);
      rowSize = 1;
    }
316

317
    int i;
318
    // search jcol
Thomas Witkowski's avatar
Thomas Witkowski committed
319
    for (i = 0; i < rowSize; i++) {
320
      // jcol found ?
Thomas Witkowski's avatar
Thomas Witkowski committed
321
      if ((*row)[i].col == jcol) {
322
323
324
	break;
      }
      // remember free entry
Thomas Witkowski's avatar
Thomas Witkowski committed
325
      if ((*row)[i].col == UNUSED_ENTRY) {
326
327
328
	freeCol = i;
      }
      // no more entries
Thomas Witkowski's avatar
Thomas Witkowski committed
329
      if ((*row)[i].col == NO_MORE_ENTRIES) {
330
	freeCol = i;
Thomas Witkowski's avatar
Thomas Witkowski committed
331
	if (rowSize > i+1) {
Thomas Witkowski's avatar
Thomas Witkowski committed
332
	  (*row)[i + 1].entry = NO_MORE_ENTRIES;
333
334
335
336
337
338
	}
	break;
      }
    }

    // jcol found?
Thomas Witkowski's avatar
Thomas Witkowski committed
339
    if (i < rowSize) {
Thomas Witkowski's avatar
Thomas Witkowski committed
340
      if (!add) {
Thomas Witkowski's avatar
Thomas Witkowski committed
341
	(*row)[i].entry = 0.0;
Thomas Witkowski's avatar
Thomas Witkowski committed
342
343
      }

344
345
      (*row)[i].entry += sign * entry;
    } else {
346
      if (freeCol == -1) {
347
348
349
350
	MatEntry newEntry = {jcol, sign * entry};
	row->push_back(newEntry);
      } else {
	(*row)[freeCol].col = jcol;
Thomas Witkowski's avatar
Thomas Witkowski committed
351
352
	if (!add) 
	  (*row)[freeCol].entry = 0.0;
353
354
	(*row)[freeCol].entry += sign * entry;
      }
355
    } 
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
  }

  void DOFMatrix::addMatEntry(int row, MatEntry entry)
  {
    matrix[row].push_back(entry);
  }

  void DOFMatrix::addMatEntry(int row,  DegreeOfFreedom col, double value)
  {
    MatEntry entry;
    entry.col = col;
    entry.entry = value;
    matrix[row].push_back(entry);
  }

  void DOFMatrix::addRow(::std::vector<MatEntry> row)
  {
    matrix.push_back(row);
  }

  void DOFMatrix::compressDOFIndexed(int first, int last, 
				     ::std::vector<DegreeOfFreedom> &newDOF)
  {
    int i, j, k, col;
    ::std::vector<MatEntry> *row;

    for(i = first; i <= last; i++) {
      if((k = newDOF[i]) >= 0) {
	matrix[k].swap(matrix[i]);
	matrix[i].resize(0);
      }
    }
    int usedSize = rowFESpace->getAdmin()->getUsedSize();
    for(i=0; i < usedSize; i++) {
      row = reinterpret_cast< ::std::vector<MatEntry>*>(&(matrix[i])); 
      int rowSize = static_cast<int>(row->size());
      for (j=0; j < rowSize; j++) {
	col = (*row)[j].col;
	if (entryUsed(i,j)) (*row)[j].col = newDOF[col];
      }    
    }
  }

  void DOFMatrix::freeDOFContent(int index)
  {
    int        i, j, col=0, col2;

    if (0 < matrix[index].size()) {
      // for all columns in this row
      int size = static_cast<int>(matrix[index].size());
      for (i=0; i<size; i++) {
	// if entry is used
	if (entryUsed(index,i)) {
	  // get column of this entry
	  col = matrix[index][i].col;
	  if (col != index) {  // remove symmetric entry if exists
	    int colsize = static_cast<int>(matrix[col].size());
	    for (j=0; j< colsize; j++) {
	      col2 = matrix[col][j].col;
	      if (col2 == index) {
		matrix[col][j].col = DOFMatrix::UNUSED_ENTRY;
	      }
	      else if (col2 == DOFMatrix::NO_MORE_ENTRIES) {
		break;
	      }
	    }
	  }
	}
	else if (col == DOFMatrix::NO_MORE_ENTRIES) {
	  break;
	}
      }
      matrix[index].resize(0);	
    }
  }


433
434
  void DOFMatrix::assemble(double factor, ElInfo *elInfo, 
			   const BoundaryType *bound, Operator *op)
435
  {
436
    FUNCNAME("DOFMatrix::assemble()");
437

438
    if (!op && operators.size() == 0) {
439
      return;
440
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
441
    
442
    Operator *operat = op ? op : operators[0];
443

Thomas Witkowski's avatar
Thomas Witkowski committed
444
445
446
    // !!! Do no combine the next two lines into one !!!
    //    ElementMatrix *elementMatrix = NULL;
    operat->getAssembler(omp_get_thread_num())->initElementMatrix(elementMatrix, elInfo);
Thomas Witkowski's avatar
Thomas Witkowski committed
447
    
448
    if (op) {
449
450
451
452
      op->getElementMatrix(elInfo, elementMatrix);
    } else {
      ::std::vector<Operator*>::iterator it;
      ::std::vector<double*>::iterator factorIt;
453
      for (it = operators.begin(), factorIt = operatorFactor.begin();	
454
455
	   it != operators.end(); 
	   ++it, ++factorIt) 
456
457
458
459
460
	{
	  (*it)->getElementMatrix(elInfo, 
				  elementMatrix, 
				  *factorIt ? **factorIt : 1.0);
	}
Thomas Witkowski's avatar
Thomas Witkowski committed
461
      
462
    }
463
464
   
    addElementMatrix(factor, *elementMatrix, bound);   
Thomas Witkowski's avatar
Thomas Witkowski committed
465
    //    DELETE elementMatrix;
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
  }

  Flag DOFMatrix::getAssembleFlag()
  {
    Flag fillFlag(0);
    ::std::vector<Operator*>::iterator op;
    for(op = operators.begin(); op != operators.end(); ++op) {
      fillFlag |= (*op)->getFillFlag();
    }
    return fillFlag;
  }

  void DOFMatrix::mm(MatrixTranspose aTranspose,
		     DOFMatrix& a, 
		     MatrixTranspose bTranspose,
		     DOFMatrix& b)
  {
    FUNCNAME("DOFMatrix::mm()");

    WARNING("implementation not finished!!!\n");

487
    TEST_EXIT_DBG(a.getColFESpace() == b.getRowFESpace())
488
      ("a.colFESpace != b.rowFESpace\n");
489
    TEST_EXIT_DBG(rowFESpace == a.getRowFESpace())
490
      ("rowFESpace != a.rowFESpace\n");  
491
    TEST_EXIT_DBG(colFESpace == b.getColFESpace())
492
493
494
495
      ("colFESpace != b.colFESpace\n");  

    clear();

496
    int i, j;
497

498
    if (aTranspose == NoTranspose && bTranspose == NoTranspose) {
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
      int cols  = b.getColFESpace()->getAdmin()->getUsedSize();
      DOFMatrix::Iterator rowIterator(this, USED_DOFS);

      // for every row ...
      for(rowIterator.reset(); !rowIterator.end(); ++rowIterator) {
	int rowIndex = rowIterator.getDOFIndex();
	// and every column of result   
	for(i=0; i < cols; i++) {
	  double entry = 0.0;
	  // for every entry in a[i] ...
	  for(j=0; j < static_cast<int>( a[rowIndex].size()); j++) {
	    int logIndex = a[rowIndex][j].col;
	    int physIndex = b.logToPhysIndex(logIndex, i);
	    if(physIndex != -1) {
	      entry += a[rowIndex][j].entry * b[logIndex][physIndex].entry;
	    }
	  }
516
	  if (entry != 0.0) {
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
	    addSparseDOFEntry(1.0, rowIndex, i, entry);
	  }
	}
      }
    } else if(aTranspose == Transpose && bTranspose == NoTranspose) {
      DOFMatrix::Iterator aIterator(&a, USED_DOFS);
      DOFMatrix::Iterator bIterator(&b, USED_DOFS);
      for(aIterator.reset(), bIterator.reset(); 
	  !aIterator.end(); 
	  ++aIterator, ++bIterator) 
	{
	  ::std::vector<MatEntry>::const_iterator aRowIt;
	  ::std::vector<MatEntry>::const_iterator bRowIt;
	  for(aRowIt = aIterator->begin(); aRowIt != aIterator->end(); ++aRowIt) {
	    int aCol = aRowIt->col;
	    if(aCol == UNUSED_ENTRY) continue;
	    if(aCol == NO_MORE_ENTRIES) break;
	    for(bRowIt = bIterator->begin(); bRowIt !=bIterator->end(); ++bRowIt) {
	      int bCol = bRowIt->col;
	      if(bCol == UNUSED_ENTRY) continue;
	      if(bCol == NO_MORE_ENTRIES) break;

	      double entry = aRowIt->entry * bRowIt->entry;

541
	      if (entry != 0.0) {
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
		addSparseDOFEntry(1.0, aCol, bCol, entry);	    
	      }
	    }
	  }
	}
    } else if(aTranspose == NoTranspose && bTranspose == Transpose) {
      ERROR_EXIT("not yet\n");
    } else if(aTranspose == Transpose && bTranspose == Transpose) {
      ERROR_EXIT("not yet\n");
    }
  }

  void DOFMatrix::axpy(double a, 
		       const DOFMatrix& x,
		       const DOFMatrix& y)
  {
558
559
560
561
    FUNCNAME("DOFMatrix::axpy()");

    TEST_EXIT_DBG(x.getRowFESpace() == y.getRowFESpace() &&
		  rowFESpace == x.getRowFESpace())
562
      ("row fe-spaces not equal\n");
563
564
    TEST_EXIT_DBG(x.getColFESpace() == y.getColFESpace() &&
		  colFESpace == x.getColFESpace())
565
      ("col fe-spaces not equal\n");
566
    
567
568
569
570
571
572
573
574
575
576
577
578
579
580
    DOFMatrix::Iterator rowIterator(this, USED_DOFS);
    DOFMatrix::Iterator xIterator(const_cast<DOFMatrix*>(&x), USED_DOFS);
    DOFMatrix::Iterator yIterator(const_cast<DOFMatrix*>(&y), USED_DOFS);

    int i, rowIndex, colIndex;

    for(rowIterator.reset(), xIterator.reset(), yIterator.reset();
	!rowIterator.end();
	++rowIterator, ++xIterator, ++yIterator)
      {
	rowIndex = rowIterator.getDOFIndex();
	// add x contributions to this row
	for(i=0; i < static_cast<int>((*xIterator).size()); i++) {
	  colIndex = (*xIterator)[i].col;
581
	  if (colIndex >= 0) {
582
583
584
585
586
587
	    addSparseDOFEntry(a, rowIndex, colIndex, (*xIterator)[i].entry);
	  }
	}
	// add y contributions to this row
	for(i=0; i < static_cast<int>((*yIterator).size()); i++) {
	  colIndex = (*yIterator)[i].col;
588
	  if (colIndex >= 0) {
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
	    addSparseDOFEntry(1.0, rowIndex, colIndex, (*yIterator)[i].entry);
	  }
	}
      }
  }

  void DOFMatrix::scal(double b) 
  {
    int i;
    DOFMatrix::Iterator rowIterator(this, USED_DOFS);
    for(rowIterator.reset(); !rowIterator.end(); ++rowIterator) {
      for(i=0; i < static_cast<int>((*rowIterator).size()); i++) {
	if((*rowIterator)[i].col >= 0) {
	  (*rowIterator)[i].entry *= b;
	}
      }
    }
  }

  void DOFMatrix::copy(const DOFMatrix& rhs) 
  {
    clear();
    DOFMatrix::Iterator rhsIterator(const_cast<DOFMatrix*>(&rhs), USED_DOFS);
    DOFMatrix::Iterator thisIterator(this, USED_DOFS);
    ::std::vector<MatEntry>::const_iterator colIt;
    ::std::vector<MatEntry>::const_iterator colBegin;
    ::std::vector<MatEntry>::const_iterator colEnd;
    for(rhsIterator.reset(), thisIterator.reset();
	!rhsIterator.end(); 
	++rhsIterator, ++thisIterator) 
      {
	colBegin = rhsIterator->begin();
	colEnd = rhsIterator->end();
	for(colIt = colBegin; colIt != colEnd; ++colIt) {
	  MatEntry matEntry;
	  matEntry.col = colIt->col;
	  matEntry.entry = colIt->entry;
	  thisIterator->push_back(matEntry);
	}
      }
  }

  void DOFMatrix::createPictureFile(const char* filename, int dim)
  {
    png_structp png_ptr = png_create_write_struct(PNG_LIBPNG_VER_STRING, NULL, NULL, NULL);

    if (!png_ptr)
       return;

    png_bytep rowPointers[dim];
    for (int i = 0; i < dim; i++) {
      rowPointers[i] = (png_byte*)png_malloc(png_ptr, dim);

      for (int j = 0; j < dim; j++) {
	rowPointers[i][j] = 255;
      }
    }

    double scalFactor = static_cast<double>(dim) / static_cast<double>(matrix.size());

    for (int i = 0; i < static_cast<int>(matrix.size()); i++) {    
      int pi = static_cast<int>(static_cast<double>(i) * scalFactor);

652
      TEST_EXIT_DBG((pi >= 0) && (pi < dim))("PI");
653
654
655
656
657

      for (int j = 0; j < static_cast<int>(matrix[i].size()); j++) {
	
	int pj = static_cast<int>(static_cast<double>(matrix[i][j].col) * scalFactor);

658
	TEST_EXIT_DBG((pj >= 0) && (pj < dim))("PJ");
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749

	rowPointers[pi][pj] = 0;
      }
    }
   
    FILE *fp = fopen(filename, "wb");
    TEST_EXIT(fp)("Cannot open file for writing matrix picture file!\n");

    png_infop info_ptr = png_create_info_struct(png_ptr);

    if (!info_ptr) {
       png_destroy_write_struct(&png_ptr, (png_infopp)NULL);
       return;
    }

    png_init_io(png_ptr, fp);

    png_set_IHDR(png_ptr, info_ptr, dim, dim, 8,
		 PNG_COLOR_TYPE_GRAY, 
		 PNG_INTERLACE_NONE,
		 PNG_COMPRESSION_TYPE_DEFAULT,
		 PNG_FILTER_TYPE_DEFAULT);

    png_set_rows(png_ptr, info_ptr, rowPointers);

    png_write_png(png_ptr, info_ptr, PNG_TRANSFORM_IDENTITY, NULL);

    png_destroy_write_struct(&png_ptr, &info_ptr);

    fclose(fp);
  }


  int DOFMatrix::memsize() 
  {   
    int sizeDOFMatrix = sizeof(DOFMatrix);   
    int sizeMatrix = sizeof(::std::vector<MatrixRow>);
    for (int i = 0; i < static_cast<int>(matrix.size()); i++) {
      sizeMatrix += sizeof(MatrixRow) + matrix[i].size() * sizeof(MatEntry);
    }
    
    return sizeDOFMatrix + sizeMatrix;
  }


  double norm(::std::vector<MatEntry> *row)
  {
    double result = 0.0;
    ::std::vector<MatEntry>::iterator it;
    for (it = row->begin(); it < row->end(); ++it) {
      result += (*it).entry * (*it).entry;
    }

    return(sqrt(result));
  }

  double min(::std::vector<MatEntry> *row)
  {
    double result = 0.0;
    if (row->size() > 0) {
      result = (*row)[0].entry;
    }

    ::std::vector<MatEntry>::iterator it;
    for (it = row->begin(); it < row->end(); ++it) {
      if ((*it).entry < result) {
	result = (*it).entry;
      }
    }

    return(result);
  }

  double max(::std::vector<MatEntry> *row)
  {
    double result = 0.0;
    if (row->size() > 0) {
      result = (*row)[0].entry;
    }

    ::std::vector<MatEntry>::iterator it;
    for (it = row->begin(); it < row->end(); ++it) {
      if ((*it).entry > result) {
	result = (*it).entry;
      }
    }

    return(result);
  }

}