SystemVector.h 13.4 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
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
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
124
125
126
127
128
129
130
131
132
133
134
135
136
// ============================================================================
// ==                                                                        ==
// == AMDiS - Adaptive multidimensional simulations                          ==
// ==                                                                        ==
// ============================================================================
// ==                                                                        ==
// ==  crystal growth group                                                  ==
// ==                                                                        ==
// ==  Stiftung caesar                                                       ==
// ==  Ludwig-Erhard-Allee 2                                                 ==
// ==  53175 Bonn                                                            ==
// ==  germany                                                               ==
// ==                                                                        ==
// ============================================================================
// ==                                                                        ==
// ==  http://www.caesar.de/cg/AMDiS                                         ==
// ==                                                                        ==
// ============================================================================

/** \file SystemVector.h */

#ifndef AMDIS_SYSTEMVECTOR_H
#define AMDIS_SYSTEMVECTOR_H

#include "MemoryManager.h"
#include "MatrixVector.h"
#include "DOFVector.h"
#include "CreatorInterface.h"
#include "Serializable.h"
#include "OpenMP.h"

namespace AMDiS {

  // ============================================================================
  // ===== class SystemVector ===================================================
  // ============================================================================

  /** \brief
   * A system vector is a vector of dof vectors used for vector valued
   * problems.
   */
  class SystemVector : public Serializable
  {
  public:
    MEMORY_MANAGED(SystemVector);

    /** \brief
     * Creator. 
     */
    class Creator 
      : public CreatorInterface<SystemVector> {
    public:
      MEMORY_MANAGED(Creator);

      /** \brief
       * Creators constructor.
       */
      Creator(const ::std::string &name_,
	      ::std::vector<FiniteElemSpace*> feSpace_, 
	      int size_) 
	: name(name_), feSpace(feSpace_), size(size_) 
      {};

      /** \brief
       * Destructor
       */
      virtual ~Creator() {};

      /** \brief
       * Implementation of CreatorInterface::create().
       */
      SystemVector *create() { 
	int i;
	char number[10];
	::std::string numberedName;
	SystemVector *result = NEW SystemVector(name, feSpace, size);
	for(i=0; i < size; i++) {
	  sprintf(number, "[%d]", i);
	  numberedName = name + ::std::string(number);
	  result->setDOFVector(i, NEW DOFVector<double>(feSpace[i], numberedName));
	}
	return result; 
      };

      /** \brief
       * Implementation of CreatorInterface::free().
       */ 
      void free(SystemVector *vec) { 
	for (int i = 0; i < size; i++) {
	  DELETE vec->getDOFVector(i);
	  vec->setDOFVector(i, NULL);
	}
	DELETE vec;
      };

    private:
      /** \brief
       * Name of the system vector
       */
      ::std::string name;

      /** \brief
       * Finite element space used for creation.
       */
      ::std::vector<FiniteElemSpace*> feSpace;

      /** \brief
       * Number of component vectors to be created
       */
      int size;
    };

  public:
    /** \brief
     * Constructor.
     */
    SystemVector(const ::std::string& name_,
		 ::std::vector<FiniteElemSpace*> feSpace_, 
		 int size)
      : name(name_),
	feSpace(feSpace_),
	vectors(size)
      
    {
      vectors.set(NULL);
    };

    /** \brief
     * Copy Constructor.
     */
    SystemVector(const SystemVector& rhs)
      : name(rhs.name),
	feSpace(rhs.feSpace),
	vectors(rhs.vectors.getSize())
      
    {
137
138
      for (int i = 0; i < vectors.getSize();i++) {
	vectors[i] = new DOFVector<double>(*rhs.vectors[i]);
139
140
141
      }
    };

142
    virtual ~SystemVector() {};
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
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
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
292
293
294
295

    /** \brief
     * Sets \ref vectors[index] = vec.
     */ 
    inline void setDOFVector(int index, DOFVector<double> *vec) {
      TEST_EXIT(index < vectors.getSize())("invalid index\n");
      vectors[index] = vec;
    };

    /** \brief
     * Returns \ref vectors[index].
     */
    inline DOFVector<double> *getDOFVector(int index) {
      TEST_EXIT(index < vectors.getSize())("invalid index\n");
      return vectors[index];
    };

    /** \brief
     * Returns \ref vectors[index].
     */
    inline const DOFVector<double> *getDOFVector(int index) const {
      TEST_EXIT(index < vectors.getSize())("invalid index\n");
      return vectors[index];
    };

    /** \brief
     * Returns sum of used vector sizes.
     */
    inline int getUsedSize() const {
      int i, totalSize = 0, size = vectors.getSize();
      for(i = 0; i < size; i++) {
	totalSize += vectors[i]->getUsedSize();
      }
      return totalSize;
    };

    /** \brief
     * Returns number of contained vectors.
     */
    inline int getNumVectors() const { 
      return vectors.getSize(); 
    };

    inline int getSize() const {
      return vectors.getSize();
    };

    /** \brief
     * Returns \ref feSpace.
     */
    inline FiniteElemSpace *getFESpace(int i) const { return feSpace[i]; };

    /** \brief
     * Here the system vector is interpreted as one large vector. The given
     * is used as a global index which indicates a local vector number and
     * a local index on this vector. The operator returns this local vector
     * at the local index.
     */
    inline double& operator[](int index) {
      int localIndex = index;
      int vectorIndex = 0;

      while(localIndex >= vectors[vectorIndex]->getUsedSize()) {
	localIndex -= vectors[vectorIndex++]->getUsedSize();
      }

      return (*(vectors[vectorIndex]))[localIndex];
    };

    /** \brief
     * For const access.
     */
    inline double operator[](int index) const {
      int localIndex = index;
      int vectorIndex = 0;

      while(localIndex >= vectors[vectorIndex]->getUsedSize()) {
	localIndex -= vectors[vectorIndex++]->getUsedSize();
      }

      return (*(vectors[vectorIndex]))[localIndex];
    };

    /** \brief
     * Sets all entries in all vectors to value.
     */
    inline void set(double value) {
      int size = vectors.getSize();
      for (int i = 0; i < size; i++) {
	vectors[i]->set(value);
      }
    };

    /** \brief
     * Sets all entries in all vectors to value.
     */
    inline SystemVector& operator=(double value) {
      int size = vectors.getSize();
      for (int i = 0; i < size; i++) {
	(*(vectors[i])) = value;
      }
      return *this;
    };

    /** \brief
     * Assignement operator.
     */
    inline SystemVector& operator=(const SystemVector& rhs) {
      TEST_EXIT(rhs.vectors.getSize() == vectors.getSize())
	("invalied sizes\n");
      int i, size = vectors.getSize();
      for(i = 0; i < size; i++) {
	(*(vectors[i])) = (*(rhs.getDOFVector(i)));
      }
      return *this;
    };

    void serialize(::std::ostream &out) {
      int i, size = vectors.getSize();
      out.write(reinterpret_cast<const char*>(&size), sizeof(int));
      for(i = 0; i < size; i++) {
	vectors[i]->serialize(out);
      }
    };

    void deserialize(::std::istream &in) {
      int i, size, oldSize = vectors.getSize();
      in.read(reinterpret_cast<char*>(&size), sizeof(int));
      vectors.resize(size);
      for(i = oldSize; i < size; i++) {
	vectors[i] = NEW DOFVector<double>(feSpace[i], "");
      }
      for(i = 0; i < size; i++) {
	vectors[i]->deserialize(in);
      }  
    };

    void copy(const SystemVector& rhs) {
      int i, size = vectors.getSize();
      TEST_EXIT(size == rhs.getNumVectors())("invalid sizes\n");
      for(i = 0; i < size; i++) {
	vectors[i]->copy(*(const_cast<SystemVector&>(rhs).getDOFVector(i)));
      }
    };

    void interpol(::std::vector<AbstractFunction<double, WorldVector<double> >*> *f) {
      int i, size = vectors.getSize();
      for(i = 0; i < size; i++) {
	vectors[i]->interpol((*f)[i]);
      }
    };

    void print() {
296
297
      int size = vectors.getSize();
      for (int i = 0; i < size; i++) {
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
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
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
	vectors[i]->print();
      }
    };



  protected:
    /** \brief
     * Name of the system vector
     */
    ::std::string name;

    /** \brief
     * Finite element space.
     */
    ::std::vector<FiniteElemSpace*> feSpace;

    /** \brief
     * Local dof vectors.
     */
    Vector<DOFVector<double>*> vectors;
  };

  /** \brief
   * multiplication with scalar
   */
  inline const SystemVector& operator*=(SystemVector& x, double d) {
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      *(x.getDOFVector(i)) *= d;
    }
    return x;
  };

  /** \brief
   * scalar product
   */
  inline double operator*(SystemVector& x, SystemVector& y) {
    TEST_EXIT(x.getNumVectors() == y.getNumVectors())
      ("invalid size\n");
    double result = 0.0;
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      result += (*x.getDOFVector(i)) * (*y.getDOFVector(i));
    };
    return result;
  };

  /** \brief
   * addition of two system vectors
   */
  inline const SystemVector& operator+=(SystemVector& x, 
					const SystemVector& y) 
  {
    TEST_EXIT(x.getNumVectors() == y.getNumVectors())
      ("invalid size\n");
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      (*(x.getDOFVector(i))) += (*(y.getDOFVector(i)));
    }
    return x;
  };

  /**
   * subtraction of two system vectors.
   */
  inline const SystemVector& operator-=(SystemVector& x, 
					SystemVector& y) 
  {
    TEST_EXIT(x.getNumVectors() == y.getNumVectors())
      ("invalid size\n");
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      (*(x.getDOFVector(i))) -= (*(y.getDOFVector(i)));
    }
    return x;
  };

  /** \brief
   * multiplication with a scalar
   */
  inline SystemVector operator*(SystemVector& x, double d) {
    SystemVector result = x;
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      (*(result.getDOFVector(i))) *= d;
    }
    return result;
  };

  /** \brief
   * multiplication with a scalar
   */
  inline SystemVector operator*(double d, SystemVector& x) {
    SystemVector result = x;
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      (*(result.getDOFVector(i))) *= d;
    }
    return result;
  };

  /** \brief
   * addition of two system vectors
   */
  inline SystemVector operator+(const SystemVector& x,
				const SystemVector& y)
  {
    TEST_EXIT(x.getNumVectors() == y.getNumVectors())
      ("invalid size\n");
    SystemVector result = x;
    int i, size = x.getNumVectors();
    for(i = 0; i < size; i++) {
      (*(result.getDOFVector(i))) += (*(y.getDOFVector(i)));
    }
    return result;
  };

  /** \brief
   * Calls SystemVector::set(). Used for solving.
   */
  inline void set(SystemVector& x, double value) {
    x.set(value);
  }; 

  /** \brief
   * Calls SystemVector::set(). Used for solving.
   */
  inline void setValue(SystemVector& x, double value) {
    x.set(value);
  }; 

  /** \brief
   * Norm of system vector.
   */
  inline double norm(SystemVector* x) {
    double result = 0.0;
    int i, size = x->getNumVectors();
    for(i = 0; i < size; i++) {
      result += x->getDOFVector(i)->squareNrm2();
    }
    return sqrt(result);
  };

  /** \brief
   * L2 norm of system vector.
   */
  inline double L2Norm(SystemVector* x) {
    double result = 0.0;
    int i, size = x->getNumVectors();
    for(i = 0; i < size; i++) {
      result += x->getDOFVector(i)->L2NormSquare();
    }
    return sqrt(result);
  };

  /** \brief
   * H1 norm of system vector.
   */
  inline double H1Norm(SystemVector* x) {
    double result = 0.0;
    int i, size = x->getNumVectors();
    for(i = 0; i < size; i++) {
      result += x->getDOFVector(i)->H1NormSquare();
    }
    return sqrt(result);
  };

  inline void mv(Matrix<DOFMatrix*> &matrix,
		 const SystemVector &x,
		 SystemVector       &result,
		 bool               add = false)
  {
    int size = x.getNumVectors();

    TEST_EXIT(size == result.getNumVectors())("incompatible sizes\n");
    TEST_EXIT(size == matrix.getNumRows())("incompatible sizes\n");
    TEST_EXIT(size == matrix.getNumCols())("incompatible sizes\n");
    
Thomas Witkowski's avatar
Thomas Witkowski committed
477
478
479
480
481
    for (int i = 0; i < size; i++) {
      if (!add) 
	result.getDOFVector(i)->set(0.0);

      for (int j = 0; j < size; j++) {
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
	if (matrix[i][j]) {
	  mv<double>(NoTranspose, 
		     *(matrix[i][j]), 
		     *(x.getDOFVector(j)), 
		     *(result.getDOFVector(i)),
		     true);
	}
      }
    }
  };

  /** \brief
   * y = a*x + y;
   */
  inline void axpy(double a, SystemVector& x, SystemVector& y)
  {
    TEST_EXIT(x.getNumVectors() == y.getNumVectors())
      ("invalid size\n");

Thomas Witkowski's avatar
Thomas Witkowski committed
501
502
503
    int size = x.getNumVectors();

    for (int i = 0; i < size; i++) {
504
505
506
507
508
509
510
511
512
513
514
      axpy(a, *(x.getDOFVector(i)), *(y.getDOFVector(i)));
    }
  };

  /** \brief
   * y = x + a*y
   */
  inline void xpay(double a, SystemVector& x, SystemVector& y)
  {
    TEST_EXIT(x.getNumVectors() == y.getNumVectors())
      ("invalid size\n");
Thomas Witkowski's avatar
Thomas Witkowski committed
515
    int size = x.getNumVectors();
516

Thomas Witkowski's avatar
Thomas Witkowski committed
517
    for (int i = 0; i < size; i++) {
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
      xpay(a, *(x.getDOFVector(i)), *(y.getDOFVector(i)));
    }
  }

  /** \brief
   * Returns SystemVector::getUsedSize().
   */
  inline int size(SystemVector* vec) {
    return vec->getUsedSize();
  };

  inline void print(SystemVector* vec) {
    vec->print();
  };

}

#endif // AMDIS_SYSTEMVECTOR_H