geometry.cpp 58.6 KB
Newer Older
Kirill Terekhov's avatar
Kirill Terekhov committed
1
2
#include "inmost.h"
#if defined(USE_MESH)
Kirill Terekhov's avatar
Kirill Terekhov committed
3
#include <deque>
Kirill Terekhov's avatar
Kirill Terekhov committed
4
using namespace std;
Kirill Terekhov's avatar
Kirill Terekhov committed
5

Kirill Terekhov's avatar
Kirill Terekhov committed
6
7
8
9
10
const std::string normal_name = "PROTECTED_GEOM_UTIL_NORMAL";
const std::string measure_name = "PROTECTED_GEOM_UTIL_MEASURE";
const std::string centroid_name = "PROTECTED_GEOM_UTIL_CENTROID";
const std::string barycenter_name = "PROTECTED_GEOM_UTIL_BARYCENTER";

Kirill Terekhov's avatar
Kirill Terekhov committed
11
12
namespace INMOST
{
Kirill Terekhov's avatar
Kirill Terekhov committed
13
14
15
16
17
18
19
20
21
22
	typedef struct orient_face_t
	{
		Edge bridge;
		Node first;
		Face face;
		orient_face_t(Edge _bridge, Node _first, Face _face)
		:bridge(_bridge),first(_first),face(_face)
		{
		}
	} orient_face;
Kirill Terekhov's avatar
Kirill Terekhov committed
23

Kirill Terekhov's avatar
Kirill Terekhov committed
24
25
26
27
28
29
	__INLINE static void vec_diff(const Storage::real * vecin1, const Storage::real * vecin2, Storage::real * vecout, unsigned int size)
	{
		for(unsigned int i = 0; i < size; i++)
			vecout[i] = vecin1[i] - vecin2[i];
	}
	
Kirill Terekhov's avatar
Kirill Terekhov committed
30
31
32
33
34
35
36
	__INLINE static void vec_diff(const Storage::real_array & vecin1,const Storage::real_array & vecin2, Storage::real * vecout, unsigned int size)
	{
		for(unsigned int i = 0; i < size; i++)
			vecout[i] = vecin1[i] - vecin2[i];
	}
	
	
Kirill Terekhov's avatar
Kirill Terekhov committed
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
	__INLINE static void vec_cross_product(const Storage::real * vecin1, const Storage::real * vecin2, Storage::real * vecout)
	{
		Storage::real temp[3];
		temp[0] = vecin1[1]*vecin2[2] - vecin1[2]*vecin2[1];
		temp[1] = vecin1[2]*vecin2[0] - vecin1[0]*vecin2[2];
		temp[2] = vecin1[0]*vecin2[1] - vecin1[1]*vecin2[0];
		vecout[0] = temp[0];
		vecout[1] = temp[1];
		vecout[2] = temp[2];
	}
	
	__INLINE static Storage::real vec_dot_product(const Storage::real * vecin1,const Storage::real * vecin2, unsigned int size)
	{
		Storage::real ret = 0;
		for(unsigned int i = 0; i < size; i++)
			ret += vecin1[i]*vecin2[i];
		return ret;
	}
	
	__INLINE static Storage::real vec_len2(const Storage::real * vecin, unsigned int size)
	{
		return vec_dot_product(vecin,vecin,size);
	}
	
	__INLINE static Storage::real vec_len(const Storage::real * vecin, unsigned int size)
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
63
		return ::sqrt(vec_len2(vecin,size));
Kirill Terekhov's avatar
Kirill Terekhov committed
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
	}
	
	__INLINE static Storage::real det3d(Storage::real a, Storage::real b, Storage::real c,
	                         Storage::real d, Storage::real e, Storage::real f,
	                         Storage::real g, Storage::real h, Storage::real i ) 
	{
		return a*e*i - c*e*g + b*f*g - a*f*h + c*d*h - b*d*i;
	}
	
	__INLINE static Storage::real det3v(const Storage::real * x,const Storage::real * y,const Storage::real * z) 
	{
		return det3d(x[0], x[1], x[2],  y[0], y[1], y[2],  z[0], z[1], z[2]);
	}
	
	__INLINE static Storage::real det4v(const Storage::real * w, const Storage::real * x, const Storage::real * y, const Storage::real * z) 
	{
		return det3d(x[0]-w[0], x[1]-w[1], x[2]-w[2],  y[0]-w[0], y[1]-w[1], y[2]-w[2],  z[0]-w[0], z[1]-w[1], z[2]-w[2]);
	}	
	
	
	__INLINE static Storage::real vec_normalize(Storage::real * vecin, unsigned int size)
	{
		Storage::real len = 0;
		for(unsigned int i = 0; i < size; i++)
			len += vecin[i]*vecin[i];
Kirill Terekhov's avatar
Kirill Terekhov committed
89
		len = ::sqrt(len);
Kirill Terekhov's avatar
Kirill Terekhov committed
90
91
92
93
94
95
		for(unsigned int i = 0; i < size; i++)
			vecin[i] /= len;
		return len;
	}
	
	
Kirill Terekhov's avatar
Kirill Terekhov committed
96
	ElementArray<Cell> Cell::NeighbouringCells() const
Kirill Terekhov's avatar
Kirill Terekhov committed
97
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
98
99
100
		ElementArray<Cell> ret(GetMeshLink());
		ElementArray<Face> faces = getFaces();
		for(ElementArray<Face>::iterator f = faces.begin(); f != faces.end(); f++)
Kirill Terekhov's avatar
Kirill Terekhov committed
101
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
102
103
			Cell c = Neighbour(f->self());
			if( c.isValid() ) ret.push_back(c);
Kirill Terekhov's avatar
Kirill Terekhov committed
104
105
106
107
108
		}
		return ret;
	}
	
	
Kirill Terekhov's avatar
Kirill Terekhov committed
109
	Cell Cell::Neighbour(Face f) const
Kirill Terekhov's avatar
Kirill Terekhov committed
110
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
111
112
		Cell b = f->BackCell();
		if( b == self() )
Kirill Terekhov's avatar
Kirill Terekhov committed
113
114
115
116
			return f->FrontCell();
		return b;
	}
	
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
117
	bool Cell::Inside(const Storage::real * point) const//check for 2d case
Kirill Terekhov's avatar
Kirill Terekhov committed
118
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
119
		Mesh * mesh = GetMeshLink();
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
120
121
122
		integer dim = GetElementDimension();
		if( dim == 3 )
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
123
124
125
126
127
128
129
130
131
132
133
			/*
			tiny_map<HandleType,real,16> hits;
			real ray[3];
			ray[0] = rand()/(real)RAND_MAX;
			ray[1] = rand()/(real)RAND_MAX;
			ray[2] = rand()/(real)RAND_MAX;
			CastRay(point,ray,hits);
			if( hits.size()%2 == 0 ) return false;
			return true;
			 */
			assert(mesh->GetDimensions() == 3);
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
134
135
136
			integer vp = 0;
			integer vm = 0;
			integer vz = 0;
Kirill Terekhov's avatar
Kirill Terekhov committed
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
221
222
223
224
225
226
227
228
229
			real eps = mesh->GetEpsilon();
			real c,d, fcnt[3];
			real_array v1,v2;
			ElementArray<Face> data = getFaces();
			Face cur = data[0];
			MarkerType mrk = mesh->CreatePrivateMarker();
			MarkerType rev = mesh->CreatePrivateMarker(); //reverse orientation
			data.SetPrivateMarker(mrk); //0-th face orientation is default
			cur->RemPrivateMarker(mrk);
			Node n1,n2; //to retrive edge
			bool reverse = false; //reverse orientation in considered face
			std::deque< orient_face > stack; //edge and first node and face for visiting
			//todo: can do faster by retriving edges and going over their nodes
			//should not use FindSharedAdjacency
			ElementArray<Edge> edges = cur->getEdges();
			do
			{
				//figure out starting node order
				if( edges[0]->getBeg() == edges[1]->getBeg() ||
				   edges[0]->getBeg() == edges[1]->getEnd() )
				{
					n1 = edges[0]->getEnd();
					n2 = edges[0]->getBeg();
				}
				else
				{
					n1 = edges[0]->getBeg();
					n2 = edges[0]->getEnd();
				}
				//schedule unvisited adjacent faces
				for(unsigned j = 0; j < edges.size(); j++)
				{
					//schedule face adjacent to considered edge
					ElementArray<Face> adjacent = edges[j]->getFaces(mrk);
					assert(adjacent.size() <= 1);
					if( !adjacent.empty() && adjacent[0].GetPrivateMarker(mrk))
					{
						adjacent.RemPrivateMarker(mrk);
						stack.push_back(orient_face(edges[j],reverse ? n2 : n1,adjacent[0]));
					}
					//update edge nodes
					n1 = n2; //current end is new begin
					//find new end
					if( n2 == edges[(j+1)%edges.size()]->getBeg() )
						n2 = edges[(j+1)%edges.size()]->getEnd();
					else
						n2 = edges[(j+1)%edges.size()]->getBeg();
				}
				if( stack.empty() ) break;
				//get entry from stack
				orient_face r = stack.front();
				//remove face from stack
				stack.pop_front();
				//retrive edges for new face
				edges = r.face->getEdges();
				reverse = false;
				//figure out starting node order
				if( edges[0]->getBeg() == edges[1]->getBeg() ||
				   edges[0]->getBeg() == edges[1]->getEnd() )
				{
					n1 = edges[0]->getEnd();
					n2 = edges[0]->getBeg();
				}
				else
				{
					n1 = edges[0]->getBeg();
					n2 = edges[0]->getEnd();
				}
				//find out common edge orientation
				for(unsigned j = 0; j < edges.size(); j++)
				{
					if( edges[j] == r.bridge ) //found the edge
					{
						//reverse ordering on this face
						if( r.first == n1 )
						{
							r.face->SetPrivateMarker(rev);
							reverse = true;
						}
						break;
					}
					//update edge nodes
					n1 = n2; //current end is new begin
					//find new end
					if( n2 == edges[(j+1)%edges.size()]->getBeg() )
						n2 = edges[(j+1)%edges.size()]->getEnd();
					else
						n2 = edges[(j+1)%edges.size()]->getBeg();
				}
			} while(true);
			data.RemPrivateMarker(mrk);
			mesh->ReleasePrivateMarker(mrk);
			for(ElementArray<Face>::size_type f = 0; f < data.size(); f++)
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
230
231
			{
				d = 0.0;
Kirill Terekhov's avatar
Kirill Terekhov committed
232
233
234
235
236
237
238
239
240
241
242
243
244
				data[f]->Centroid(fcnt);
				ElementArray<Node> nodes = data[f]->getNodes();
				v1 = nodes[0].Coords();
				for (ElementArray<Node>::size_type i=0; i<nodes.size(); i++)
				{
					v2 = nodes[(i+1)%nodes.size()].Coords();
					d += c = det4v(point, fcnt, v1.data(), v2.data());
					v1.swap(v2);
				}
				//if(!data[f]->FaceOrientedOutside(self()))
				if( data[f]->GetPrivateMarker(rev) )
					c = -1.0;
				else
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
245
					c = 1.0;
Kirill Terekhov's avatar
Kirill Terekhov committed
246
247
248
249
250
				if(c*d > eps)
					vp++;
				else if(c*d < -eps)
					vm++;
				else
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
251
252
					vz++;
			}
Kirill Terekhov's avatar
Kirill Terekhov committed
253
254
			data.RemPrivateMarker(rev);
			mesh->ReleasePrivateMarker(rev);
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
255
			if(vp*vm > 0) return false;
Kirill Terekhov's avatar
Kirill Terekhov committed
256
			else if( vz == 0 ) return true;
Kirill Terekhov's avatar
Kirill Terekhov committed
257
			else return true;
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
258
259
		}
		else
Kirill Terekhov's avatar
Kirill Terekhov committed
260
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
261
			int mdim = mesh->GetDimensions();
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
262
263
264
265
266
267
268
269
			assert(mdim <= 3);
			Storage::real data[9][3];
			if( mdim < 3 )
			{
				memset(data,0,sizeof(Storage::real)*9*3);
			}
			Centroid(data[0]);
			ElementArray<Node> nodes = getNodes();
Kirill Terekhov's avatar
Kirill Terekhov committed
270
			for(int i = 0; i < static_cast<int>(nodes.size()); i++)
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
271
272
273
274
275
276
277
278
279
280
			{
				int j = (i+1)%nodes.size();
				nodes[i].Centroid(data[1]);
				nodes[j].Centroid(data[2]);
				vec_diff(point,data[0],data[3],mdim);
				vec_diff(point,data[1],data[4],mdim);
				vec_diff(point,data[2],data[5],mdim);
				vec_cross_product(data[3],data[4],data[6]);
				vec_cross_product(data[4],data[5],data[7]);
				vec_cross_product(data[5],data[3],data[8]);
Kirill Terekhov's avatar
Kirill Terekhov committed
281
				
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
282
				if( vec_dot_product(data[6],data[7],mdim) >= 0 &&
Kirill Terekhov's avatar
Kirill Terekhov committed
283
284
				   vec_dot_product(data[7],data[8],mdim) >= 0 &&
				   vec_dot_product(data[6],data[8],mdim) >= 0 )
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
285
286
287
					return true; //inside one of the triangles
			}
			return false;
Kirill Terekhov's avatar
Kirill Terekhov committed
288
289
290
291
		}
	}
	
	
Kirill Terekhov's avatar
Kirill Terekhov committed
292
	void Face::UnitNormal(real * nrm) const
Kirill Terekhov's avatar
Kirill Terekhov committed
293
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
294
295
296
		Mesh * m = GetMeshLink();
		m->GetGeometricData(GetHandle(),NORMAL,nrm); 
		integer dim = m->GetDimensions();
Kirill Terekhov's avatar
Kirill Terekhov committed
297
		real    l   = ::sqrt(vec_dot_product(nrm,nrm,dim)); 
Kirill Terekhov's avatar
Kirill Terekhov committed
298
		if(::fabs(l) > m->GetEpsilon()) 
Kirill Terekhov's avatar
Kirill Terekhov committed
299
300
		{
			for(integer i = 0; i < dim; i++) 
Kirill Terekhov's avatar
Kirill Terekhov committed
301
				nrm[i] /= l; 
Kirill Terekhov's avatar
Kirill Terekhov committed
302
		}
Kirill Terekhov's avatar
Kirill Terekhov committed
303
304
	}
	
Kirill Terekhov's avatar
Kirill Terekhov committed
305
	void Face::OrientedNormal(Cell c, Storage::real * nrm) const
Kirill Terekhov's avatar
Kirill Terekhov committed
306
307
	{
		Normal(nrm); 
Kirill Terekhov's avatar
Kirill Terekhov committed
308
309
310
311
		if( !FaceOrientedOutside(c) )
		{
			integer dim = GetMeshLink()->GetDimensions();
			for(integer i = 0; i < dim; i++) 
Kirill Terekhov's avatar
Kirill Terekhov committed
312
				nrm[i] = -nrm[i];
Kirill Terekhov's avatar
Kirill Terekhov committed
313
		}
Kirill Terekhov's avatar
Kirill Terekhov committed
314
315
316
	}
	
	
Kirill Terekhov's avatar
Kirill Terekhov committed
317
	void Face::OrientedUnitNormal(Cell c, Storage::real * nrm) const
Kirill Terekhov's avatar
Kirill Terekhov committed
318
319
320
	{
		UnitNormal(nrm); 
		if( !FaceOrientedOutside(c) ) 
Kirill Terekhov's avatar
Kirill Terekhov committed
321
322
323
		{
			integer dim = GetMeshLink()->GetDimensions();
			for(integer i = 0; i < dim; i++) 
Kirill Terekhov's avatar
Kirill Terekhov committed
324
				nrm[i] = -nrm[i];
Kirill Terekhov's avatar
Kirill Terekhov committed
325
		}
Kirill Terekhov's avatar
Kirill Terekhov committed
326
327
328
329
	}
	
	
	
Kirill Terekhov's avatar
Kirill Terekhov committed
330
	bool Mesh::TestClosure(const HandleType * elements, integer num) const
Kirill Terekhov's avatar
Kirill Terekhov committed
331
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
332
333
334
		integer i;
		tiny_map<HandleType,int,64> e_visit;
		tiny_map<HandleType,int,64>::iterator it;
Kirill Terekhov's avatar
Kirill Terekhov committed
335
336
337
338
		if( !HideMarker() )
		{
			for(i = 0; i < num; i++)
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
339
340
341
				Element::adj_type const & lc = LowConn(elements[i]);
				for(Element::adj_type::size_type jt = 0; jt < lc.size(); jt++)
					e_visit[lc[jt]]++;
Kirill Terekhov's avatar
Kirill Terekhov committed
342
343
344
345
			}
		}
		else
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
346
			for(i = 0; i < num; i++) if( !GetMarker(elements[i],HideMarker()) )
Kirill Terekhov's avatar
Kirill Terekhov committed
347
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
348
349
350
351
352
353
				Element::adj_type const & lc = LowConn(elements[i]);
				for(Element::adj_type::size_type jt = 0; jt < lc.size(); jt++) 
				{
					if( !GetMarker(lc[jt],HideMarker()) ) 
						e_visit[lc[jt]]++;
				}
Kirill Terekhov's avatar
Kirill Terekhov committed
354
355
356
357
358
359
360
			}
		}
		for(it = e_visit.begin(); it != e_visit.end(); it++)
			if( it->second != 2 ) return false;
		return true;
	}
	
361
	Element::GeometricType Mesh::ComputeGeometricType(ElementType etype, const HandleType * lc, INMOST_DATA_ENUM_TYPE size) const
Kirill Terekhov's avatar
Kirill Terekhov committed
362
363
	{
		Element::GeometricType ret = Element::Unset;
364
365
366
367
		INMOST_DATA_ENUM_TYPE s = 0;
		if( isMeshModified() )
			s = Mesh::Count(lc,size,HideMarker());
		else s = size;
Kirill Terekhov's avatar
Kirill Terekhov committed
368
		int dmax = -1, dmin = 4;
Kirill Terekhov's avatar
Kirill Terekhov committed
369
370
371
372
373
374
375
376
377
378
379
		if( s == 0 && etype != NODE) return ret;
		switch(etype)
		{
			case NODE: ret = Element::Vertex; break;
			case EDGE:
				if( s == 1 )
					ret = Element::Vertex;
				else if( s == 2 )
					ret = Element::Line;
				break;
			case FACE:
380
				for (INMOST_DATA_ENUM_TYPE k = 0; k < size; ++k) if( !Hidden(lc[k]) )
Kirill Terekhov's avatar
Kirill Terekhov committed
381
382
383
384
385
386
387
				{
					int d = Element::GetGeometricDimension(GetGeometricType(lc[k]));
					if (dmax < d) dmax = d;
					if (dmin > d) dmin = d;
				}
				if (dmax != dmin)
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
388
					ret = Element::MultiLine;
Kirill Terekhov's avatar
Kirill Terekhov committed
389
390
				}
				else if( dmax == 0 )
Kirill Terekhov's avatar
Kirill Terekhov committed
391
392
393
394
395
				{ 
					ret = Element::Line;
				}
				else
				{
396
					if( !GetTopologyCheck(NEED_TEST_CLOSURE) || TestClosure(lc,size) )
Kirill Terekhov's avatar
Kirill Terekhov committed
397
398
399
400
401
402
403
404
405
406
407
408
					{
						if( s == 3 )
							ret = Element::Tri;
						else if( s == 4 )
							ret = Element::Quad;
						else
							ret = Element::Polygon;
					}
					else ret = Element::MultiLine;
				}
				break;
			case CELL:
409
				for (INMOST_DATA_ENUM_TYPE k = 0; k < size; ++k) if( !Hidden(lc[k]) )
Kirill Terekhov's avatar
Kirill Terekhov committed
410
411
412
413
414
415
416
417
418
419
				{
					int d = Element::GetGeometricDimension(GetGeometricType(lc[k]));
					if (dmax < d) dmax = d;
					if (dmin > d) dmin = d;
				}
				if (dmax != dmin)
				{
					ret = Element::MultiPolygon;
				}
				else if(  dmax == 1 )
Kirill Terekhov's avatar
Kirill Terekhov committed
420
				{
421
					if( !GetTopologyCheck(NEED_TEST_CLOSURE) || TestClosure(lc,size) )
Kirill Terekhov's avatar
Kirill Terekhov committed
422
423
424
425
426
427
428
429
430
431
432
433
					{
						if( s == 3 )
							ret = Element::Tri;
						else if( s == 4 )
							ret = Element::Quad;
						else
							ret = Element::Polygon;
					}
					else ret = Element::MultiLine;
				}
				else 
				{
434
					if( !GetTopologyCheck(NEED_TEST_CLOSURE) ||  TestClosure(lc,size) )
Kirill Terekhov's avatar
Kirill Terekhov committed
435
436
437
					{
						//test c_faces closure, if no closure, set as MultiPolygon
						INMOST_DATA_ENUM_TYPE quads = 0,tris = 0,i;
438
						for(i = 0; i < size; i++) if( !Hidden(lc[i]) )
Kirill Terekhov's avatar
Kirill Terekhov committed
439
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
440
							if( GetGeometricType(lc[i]) == Element::Tri )
Kirill Terekhov's avatar
Kirill Terekhov committed
441
								tris++;
Kirill Terekhov's avatar
Kirill Terekhov committed
442
							else if( GetGeometricType(lc[i]) == Element::Quad )
Kirill Terekhov's avatar
Kirill Terekhov committed
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
								quads++;
						}
						if( tris == 4 && s == 4 )
							ret = Element::Tet;
						else if( quads == 6 && s == 6 )
							ret = Element::Hex;
						else if( tris == 4 && quads == 1 && s == tris+quads)
							ret = Element::Pyramid;
						else if( quads == 3 && tris == 2 && s == tris+quads)
							ret = Element::Prism;
						else
							ret = Element::Polyhedron;
					}
					else ret = Element::MultiPolygon;
				}
				break;
			case ESET: ret = Element::Set; break;
		}
		return ret;
	}

Kirill Terekhov's avatar
Kirill Terekhov committed
464
	Storage::real Edge::Length() const 
Kirill Terekhov's avatar
Kirill Terekhov committed
465
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
		Storage::real ret; 
		GetMeshLink()->GetGeometricData(GetHandle(),MEASURE,&ret); 
		return ret;
	}

	Storage::real Face::Area() const 
	{
		real ret; 
		GetMeshLink()->GetGeometricData(GetHandle(),MEASURE,&ret); 
		return ret;
	}
	void Face::Normal(real * nrm) const 
	{
		GetMeshLink()->GetGeometricData(GetHandle(),NORMAL,nrm);
	}

	Storage::real Cell::Volume() const 
	{
		real ret; 
		GetMeshLink()->GetGeometricData(GetHandle(),MEASURE,&ret); 
		return ret;
	}

	void Element::ComputeGeometricType() const
	{
		GetMeshLink()->ComputeGeometricType(GetHandle());
Kirill Terekhov's avatar
Kirill Terekhov committed
492
493
	}
	
Kirill Terekhov's avatar
Kirill Terekhov committed
494
495
496
497
498
499
500
	void Mesh::ComputeGeometricType(HandleType h) 
	{
		SetGeometricType(h,Element::Unset);
		Element::adj_type const & lc = LowConn(h);
		if( !lc.empty() )
			SetGeometricType(h,ComputeGeometricType(GetHandleElementType(h),lc.data(),static_cast<integer>(lc.size())));
	}
Kirill Terekhov's avatar
Kirill Terekhov committed
501
	
Kirill Terekhov's avatar
Kirill Terekhov committed
502
	void Mesh::RecomputeGeometricData(HandleType e)
Kirill Terekhov's avatar
Kirill Terekhov committed
503
504
505
506
507
	{
		//static std::map<Element *, int> numfixes;
		GeometricData d ;
		for(d = CENTROID; d <= NORMAL; d++) // first compute centroids and normals 
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
508
			if( HaveGeometricData(d,GetHandleElementType(e)) ) //compute centroid first
Kirill Terekhov's avatar
Kirill Terekhov committed
509
510
			{
				Tag t = GetGeometricTag(d);
Kirill Terekhov's avatar
Kirill Terekhov committed
511
512
				Storage::real * a = static_cast<Storage::real *>(MGetDenseLink(e,t));
				HideGeometricData(d,GetHandleElementType(e));
Kirill Terekhov's avatar
Kirill Terekhov committed
513
				GetGeometricData(e,d,a);
Kirill Terekhov's avatar
Kirill Terekhov committed
514
				ShowGeometricData(d,GetHandleElementType(e));
Kirill Terekhov's avatar
Kirill Terekhov committed
515
516
517
518
			}
		}


Kirill Terekhov's avatar
Kirill Terekhov committed
519
		if( GetHandleElementType(e) == CELL && HaveGeometricData(ORIENTATION,FACE)) //then correct the normal
Kirill Terekhov's avatar
Kirill Terekhov committed
520
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
521
522
523
			Element::adj_type & lc = LowConn(e);
			for(Element::adj_type::iterator it = lc.begin(); it != lc.end(); ++it)
				if( !GetMarker(*it,HideMarker()) && HighConn(*it).size() == 1 )
Kirill Terekhov's avatar
Kirill Terekhov committed
524
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
525
					Face(this,*it)->FixNormalOrientation();
Kirill Terekhov's avatar
Kirill Terekhov committed
526
527
528
529
				}
		}
		for(d = MEASURE; d <= BARYCENTER; d++) // compute the rest
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
530
			if( HaveGeometricData(d,GetHandleElementType(e)) )
Kirill Terekhov's avatar
Kirill Terekhov committed
531
532
			{
				Tag t = GetGeometricTag(d);
Kirill Terekhov's avatar
Kirill Terekhov committed
533
534
				Storage::real * a = static_cast<Storage::real *>(MGetDenseLink(e,t));
				HideGeometricData(d,GetHandleElementType(e));
Kirill Terekhov's avatar
Kirill Terekhov committed
535
				GetGeometricData(e,d,a);
Kirill Terekhov's avatar
Kirill Terekhov committed
536
				ShowGeometricData(d,GetHandleElementType(e));
Kirill Terekhov's avatar
Kirill Terekhov committed
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
			}
		}
	}
	
	
	void Mesh::RemoveGeometricData(GeomParam table)
	{
		for(GeomParam::iterator it = table.begin(); it != table.end(); ++it)
		{
			if( it->first == MEASURE    ) 
			{
				if(measure_tag.isValid())    
					measure_tag    = DeleteTag(measure_tag   ,it->second);
				for(ElementType etype = EDGE; etype <= CELL; etype = etype << 1) if( etype & it->second) HideGeometricData(MEASURE,etype);
			}
			if( it->first == CENTROID   ) 
			{
				if(centroid_tag.isValid())   
					centroid_tag   = DeleteTag(centroid_tag  ,it->second);
				for(ElementType etype = EDGE; etype <= CELL; etype = etype << 1) if( etype & it->second) HideGeometricData(CENTROID,etype);
			}
			if( it->first == BARYCENTER ) 
			{
				if(barycenter_tag.isValid()) 
					barycenter_tag = DeleteTag(barycenter_tag,it->second);
				for(ElementType etype = EDGE; etype <= CELL; etype = etype << 1) if( etype & it->second) HideGeometricData(BARYCENTER,etype);
			}
			if( it->first == NORMAL     ) 
			{
				if(normal_tag.isValid())
					normal_tag     = DeleteTag(normal_tag    ,it->second);
				for(ElementType etype = FACE; etype <= CELL; etype = etype << 1) if( etype & it->second) HideGeometricData(NORMAL,etype);
			}
			if( it->first == ORIENTATION) 
				if( FACE & it->second) HideGeometricData(ORIENTATION,FACE);
		}
	}
	
	void Mesh::RestoreGeometricTags()
	{
		for(GeometricData gtype = MEASURE; gtype <= NORMAL; gtype++)
		{
			bool restore = false;
580
			for(ElementType etype = EDGE; etype <= CELL && !restore; etype = NextElementType(etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
581
582
583
584
585
586
				if( HaveGeometricData(gtype,etype) )
					restore = true;
			if( restore )
			{
				switch(gtype)
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
587
588
589
590
				case MEASURE:       measure_tag = GetTag(measure_name);    break;
				case CENTROID:     centroid_tag = GetTag(centroid_name);   break;
				case BARYCENTER: barycenter_tag = GetTag(barycenter_name); break;
				case NORMAL:         normal_tag = GetTag(normal_name);     break;
Kirill Terekhov's avatar
Kirill Terekhov committed
591
592
593
594
				}
			}
		}
	}
595

Kirill Terekhov's avatar
Kirill Terekhov committed
596
597
	void Mesh::RepairGeometricTags()
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
598
		if( HaveTag(measure_name) )
Kirill Terekhov's avatar
Kirill Terekhov committed
599
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
600
			measure_tag = GetTag(measure_name);
Kirill Terekhov's avatar
Kirill Terekhov committed
601
602
603
604
			for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
				if( measure_tag.isDefined(etype) && !HaveGeometricData(MEASURE,etype) )
					ShowGeometricData(MEASURE,etype);
		}
Kirill Terekhov's avatar
Kirill Terekhov committed
605
		if( HaveTag(centroid_name) )
Kirill Terekhov's avatar
Kirill Terekhov committed
606
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
607
			centroid_tag = GetTag(centroid_name);
Kirill Terekhov's avatar
Kirill Terekhov committed
608
609
610
611
			for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
				if( centroid_tag.isDefined(etype) && !HaveGeometricData(CENTROID,etype) )
					ShowGeometricData(CENTROID,etype);
		}
Kirill Terekhov's avatar
Kirill Terekhov committed
612
		if( HaveTag(barycenter_name) )
Kirill Terekhov's avatar
Kirill Terekhov committed
613
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
614
			barycenter_tag = GetTag(barycenter_name);
Kirill Terekhov's avatar
Kirill Terekhov committed
615
616
617
618
			for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
				if( barycenter_tag.isDefined(etype) && !HaveGeometricData(BARYCENTER,etype) )
					ShowGeometricData(BARYCENTER,etype);
		}
Kirill Terekhov's avatar
Kirill Terekhov committed
619
		if( HaveTag(normal_name) )
Kirill Terekhov's avatar
Kirill Terekhov committed
620
		{
Kirill Terekhov's avatar
Kirill Terekhov committed
621
			normal_tag = GetTag(normal_name);
Kirill Terekhov's avatar
Kirill Terekhov committed
622
623
624
625
626
			for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
				if( normal_tag.isDefined(etype) && !HaveGeometricData(NORMAL,etype) )
					ShowGeometricData(NORMAL,etype);
		}
	}
Kirill Terekhov's avatar
Kirill Terekhov committed
627
628
629
	
	void Mesh::PrepareGeometricData(GeomParam table)
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
630
		std::sort(&*table.begin(),&*table.end());
Kirill Terekhov's avatar
Kirill Terekhov committed
631
632
633
634
635
636
		for(GeomParam::iterator it = table.begin(); it != table.end(); ++it)
		{
			GeometricData types = it->first;
			ElementType mask = it->second;
			if( types == ORIENTATION )
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
637
				//std::cout << "ORIENTATION" << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
638
				if( mask & FACE )
Kirill Terekhov's avatar
Kirill Terekhov committed
639
				{
640
641
642
					if( HideMarker() )
					{
						MarkerType hm = HideMarker();
Kirill Terekhov's avatar
Kirill Terekhov committed
643
644
645
#if defined(USE_OMP)
#pragma omp parallel for
#endif
646
647
648
649
650
651
652
653
654
655
656
						for(integer e = 0; e < FaceLastLocalID(); ++e) 
						{
							if( isValidElement(FACE,e) )
							{
								HandleType h = ComposeHandle(FACE,e);
								if( !GetMarker(h,hm) )
									Face(this,h)->FixNormalOrientation();
							}
						}
					}
					else
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
657
					{
658
659
660
661
662
663
664
665
#if defined(USE_OMP)
#pragma omp parallel for
#endif
						for(integer e = 0; e < FaceLastLocalID(); ++e) 
						{
							if( isValidElement(FACE,e) )
								Face(this,ComposeHandle(FACE,e))->FixNormalOrientation();
						}
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
666
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
667
				}
Kirill Terekhov's avatar
Kirill Terekhov committed
668
669
670
671
				ShowGeometricData(ORIENTATION,FACE);
			}
			if( types == MEASURE )
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
672
				//std::cout << "MEASURE" << std::endl;
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
673
				for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
674
675
676
				{
					if( (mask & etype) && !HaveGeometricData(MEASURE,etype))
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
677
						measure_tag = CreateTag(measure_name,DATA_REAL,etype,NONE,1);
678
679
680
						if( HideMarker() )
						{
							MarkerType hm = HideMarker();
Kirill Terekhov's avatar
Kirill Terekhov committed
681
682
683
#if defined(USE_OMP)
#pragma omp parallel for
#endif
684
685
686
687
688
689
690
							for(integer e = 0; e < LastLocalID(etype); ++e) if( isValidElement(etype,e) )
							{
								HandleType h = ComposeHandle(etype,e);
								if( !GetMarker(h,hm) ) GetGeometricData(h,MEASURE,static_cast<Storage::real *>(MGetDenseLink(h,measure_tag)));
							}
						}
						else
Kirill Terekhov's avatar
Kirill Terekhov committed
691
						{
692
693
694
695
696
697
698
699
#if defined(USE_OMP)
#pragma omp parallel for
#endif
							for(integer e = 0; e < LastLocalID(etype); ++e) if( isValidElement(etype,e) )
							{
								HandleType h = ComposeHandle(etype,e);
								GetGeometricData(h,MEASURE,static_cast<Storage::real *>(MGetDenseLink(h,measure_tag)));
							}
Kirill Terekhov's avatar
Kirill Terekhov committed
700
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
701
702
703
704
705
706
						ShowGeometricData(MEASURE,etype);
					}
				}
			}
			if( types == CENTROID )
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
707
				//std::cout << "CENTROID" << std::endl;
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
708
				for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
709
710
711
				{
					if( (mask & etype) && !HaveGeometricData(CENTROID,etype))
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
712
						centroid_tag = CreateTag(centroid_name,DATA_REAL,etype,NONE,GetDimensions());
713
714
715
						if( HideMarker() )
						{
							MarkerType hm = HideMarker();
Kirill Terekhov's avatar
Kirill Terekhov committed
716
717
718
#if defined(USE_OMP)
#pragma omp parallel for
#endif
719
720
721
722
723
724
725
							for(integer k = 0; k < LastLocalID(etype); ++k) if( isValidElement(etype,k) )
							{
								HandleType h = ComposeHandle(etype,k);
								if( !GetMarker(h,hm) ) GetGeometricData(h,CENTROID,static_cast<Storage::real *>(MGetDenseLink(h,centroid_tag)));
							}
						}
						else
Kirill Terekhov's avatar
Kirill Terekhov committed
726
						{
727
728
729
730
731
732
733
734
#if defined(USE_OMP)
#pragma omp parallel for
#endif
							for(integer k = 0; k < LastLocalID(etype); ++k) if( isValidElement(etype,k) )
							{
								HandleType h = ComposeHandle(etype,k);
								GetGeometricData(h,CENTROID,static_cast<Storage::real *>(MGetDenseLink(h,centroid_tag)));
							}
Kirill Terekhov's avatar
Kirill Terekhov committed
735
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
736
737
738
739
740
741
						ShowGeometricData(CENTROID,etype);
					}
				}
			}
			if( types == BARYCENTER )
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
742
				//std::cout << "BARYCENTER" << std::endl;
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
743
				for(ElementType etype = EDGE; etype <= CELL; etype = NextElementType(etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
744
745
746
				{
					if( (mask & etype) && !HaveGeometricData(BARYCENTER,etype))
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
747
						barycenter_tag = CreateTag(barycenter_name,DATA_REAL,etype,NONE,GetDimensions());
748
749
750
						if( HideMarker() )
						{
							MarkerType hm = HideMarker();
Kirill Terekhov's avatar
Kirill Terekhov committed
751
752
753
#if defined(USE_OMP)
#pragma omp parallel for
#endif
754
755
756
757
758
759
760
							for(integer e = 0; e < LastLocalID(etype); ++e) if( isValidElement(etype,e) )
							{
								HandleType h = ComposeHandle(etype,e);
								if( !GetMarker(h,hm) ) GetGeometricData(h,BARYCENTER,static_cast<Storage::real *>(MGetDenseLink(h,barycenter_tag)));
							}
						}
						else
Kirill Terekhov's avatar
Kirill Terekhov committed
761
						{
762
763
764
765
766
767
768
769
#if defined(USE_OMP)
#pragma omp parallel for
#endif
							for(integer e = 0; e < LastLocalID(etype); ++e) if( isValidElement(etype,e) )
							{
								HandleType h = ComposeHandle(etype,e);
								GetGeometricData(h,BARYCENTER,static_cast<Storage::real *>(MGetDenseLink(h,barycenter_tag)));
							}
Kirill Terekhov's avatar
Kirill Terekhov committed
770
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
771
772
773
774
775
776
						ShowGeometricData(BARYCENTER,etype);
					}
				}	
			}
			if( types == NORMAL )
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
777
				//std::cout << "NORMAL" << std::endl;
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
778
				for(ElementType etype = FACE; etype <= CELL; etype = NextElementType(etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
779
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
780
781
					if( (mask & etype) && !HaveGeometricData(NORMAL,etype))
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
782
						normal_tag = CreateTag(normal_name,DATA_REAL,etype,NONE,GetDimensions());
783
784
785
						if( HideMarker() )
						{
							MarkerType hm = HideMarker();
Kirill Terekhov's avatar
Kirill Terekhov committed
786
787
788
#if defined(USE_OMP)
#pragma omp parallel for
#endif
789
790
791
792
793
794
795
							for(integer e = 0; e < LastLocalID(etype); ++e) if( isValidElement(etype,e) )
							{
								HandleType h = ComposeHandle(etype,e);
								if( !GetMarker(h,hm) ) GetGeometricData(h,NORMAL,static_cast<Storage::real *>(MGetDenseLink(h,normal_tag)));
							}
						}
						else
Kirill Terekhov's avatar
Kirill Terekhov committed
796
						{
797
798
799
800
801
802
803
804
#if defined(USE_OMP)
#pragma omp parallel for
#endif
							for(integer e = 0; e < LastLocalID(etype); ++e) if( isValidElement(etype,e) )
							{
								HandleType h = ComposeHandle(etype,e);
								GetGeometricData(h,NORMAL,static_cast<Storage::real *>(MGetDenseLink(h,normal_tag)));
							}
Kirill Terekhov's avatar
Kirill Terekhov committed
805
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
806
807
						ShowGeometricData(NORMAL,etype);
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
808
				}
Kirill Terekhov's avatar
Kirill Terekhov committed
809
810
811
812
			}
		}
	}
	
Kirill Terekhov's avatar
Kirill Terekhov committed
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
	void Mesh::FacesOrientation(ElementArray<Face> & faces, MarkerType rev)
	{
		//can copy orientation-independent algorithm from
		//incident_matrix.hpp: incident_matrix::compute_measure
		//assume mdim is of size 3 at most
		if( !faces.empty() )
		{
			//real was = *ret/3.0;
			Face cur = faces[0];
			Mesh * mesh = faces.GetMeshLink();
			//firstly, have to figure out orientation of each face
			//mark all faces, so that we can perform adjacency retrival
			MarkerType mrk = mesh->CreatePrivateMarker();
			//MarkerType rev = mesh->CreatePrivateMarker(); //reverse orientation
			faces.SetPrivateMarker(mrk); //0-th face orientation is default
			cur->RemPrivateMarker(mrk);
			Node n1,n2; //to retrive edge
			bool reverse = false; //reverse orientation in considered face
			std::deque< orient_face > stack; //edge and first node and face for visiting
			ElementArray<Edge> edges = cur->getEdges();
			do
			{
				//figure out starting node order
				if( edges[0]->getBeg() == edges[1]->getBeg() ||
				    edges[0]->getBeg() == edges[1]->getEnd() )
				{
					n1 = edges[0]->getEnd();
					n2 = edges[0]->getBeg();
				}
				else
				{
					n1 = edges[0]->getBeg();
					n2 = edges[0]->getEnd();
				}
				//schedule unvisited adjacent faces
				for(unsigned j = 0; j < edges.size(); j++)
				{
					//schedule face adjacent to considered edge
					ElementArray<Face> adjacent = edges[j]->getFaces(mrk);
					assert(adjacent.size() <= 1);
					if( !adjacent.empty() )
					{
						adjacent.RemPrivateMarker(mrk);
						stack.push_back(orient_face(edges[j],reverse ? n2 : n1,adjacent[0]));
					}
					//update edge nodes
					n1 = n2; //current end is new begin
					//find new end
					if( n2 == edges[(j+1)%edges.size()]->getBeg() )
						n2 = edges[(j+1)%edges.size()]->getEnd();
						else
							n2 = edges[(j+1)%edges.size()]->getBeg();
							}
				if( stack.empty() ) break;
				//get entry from stack
				orient_face r = stack.front();
				//remove face from stack
				stack.pop_front();
				//retrive edges for new face
				edges = r.face->getEdges();
				reverse = false;
				//figure out starting node order
				if( edges[0]->getBeg() == edges[1]->getBeg() ||
				    edges[0]->getBeg() == edges[1]->getEnd() )
				{
					n1 = edges[0]->getEnd();
					n2 = edges[0]->getBeg();
				}
				else
				{
					n1 = edges[0]->getBeg();
					n2 = edges[0]->getEnd();
				}
				//find out common edge orientation
				for(unsigned j = 0; j < edges.size(); j++)
				{
					if( edges[j] == r.bridge ) //found the edge
					{
						//reverse ordering on this face
						if( r.first == n1 )
						{
							if( isPrivate(rev) )
								r.face->SetPrivateMarker(rev);
							else
								r.face->SetMarker(rev);
							reverse = true;
						}
						break;
					}
					//update edge nodes
					n1 = n2; //current end is new begin
					//find new end
					if( n2 == edges[(j+1)%edges.size()]->getBeg() )
						n2 = edges[(j+1)%edges.size()]->getEnd();
					else
						n2 = edges[(j+1)%edges.size()]->getBeg();
				}
			} while(true);
			faces.RemPrivateMarker(mrk);
			mesh->ReleasePrivateMarker(mrk);
			//faces.RemPrivateMarker(rev);
		}
	}
	
Kirill Terekhov's avatar
Kirill Terekhov committed
917
	void Mesh::GetGeometricData(HandleType e, GeometricData type, Storage::real * ret)
Kirill Terekhov's avatar
Kirill Terekhov committed
918
	{
Kirill Terekhov's avatar
Kirill Terekhov committed
919
920
		assert(e != InvalidHandle());
		assert(ret != NULL);
Kirill Terekhov's avatar
Kirill Terekhov committed
921
922
923
924
		assert(type == MEASURE ||
			   type == CENTROID ||
			   type == BARYCENTER ||
			   type == NORMAL);
Kirill Terekhov's avatar
Kirill Terekhov committed
925
926
927
		ElementType etype = GetHandleElementType(e);
		integer edim = Element::GetGeometricDimension(GetGeometricType(e));
		integer mdim = GetDimensions();
Kirill Terekhov's avatar
Kirill Terekhov committed
928
929
930
931
932
		switch(type)
		{
			case MEASURE:
			if( HaveGeometricData(MEASURE,etype) )
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
933
				*ret = static_cast<Storage::real *>(MGetDenseLink(e,measure_tag))[0];
Kirill Terekhov's avatar
Kirill Terekhov committed
934
935
936
937
938
939
940
941
942
				//~ if( isnan(*ret) || fabs(*ret) < 1e-15  ) throw -1;
			}
			else
			{
				switch(edim)
				{
					case 0: *ret = 0; break;
					case 1: //length of edge
					{
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
943
						ElementArray<Node> nodes = Element(this,e)->getNodes();
Kirill Terekhov's avatar
Kirill Terekhov committed
944
945
						if( nodes.size() > 1 )
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
946
947
948
949
							real c[3] = {0,0,0};
							real_array v0 = nodes[0].Coords();
							real_array v1 = nodes[1].Coords();
							vec_diff(v0.data(),v1.data(),c,mdim);
Kirill Terekhov's avatar
Kirill Terekhov committed
950
951
952
							*ret = vec_len(c,mdim);
						}
						else *ret = 0;
Kirill Terekhov's avatar
Kirill Terekhov committed
953
954
955
956
957
						//~ if( isnan(*ret) || fabs(*ret) < 1e-15  ) throw -1;
						break;
					}
					case 2: //area of face
					{
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
958
						ElementArray<Node> nodes = Element(this,e)->getNodes();
Kirill Terekhov's avatar
Kirill Terekhov committed
959
						if( nodes.size() > 2 )
Kirill Terekhov's avatar
Kirill Terekhov committed
960
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
961
962
							*ret = 0;
							real nt[3] = {0,0,0}, l1[3] = {0,0,0}, l2[3] = {0,0,0},n0[3] = {0,0,0}, ss;
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
							//real_array v0 = nodes[0].Coords();
							//real_array v1 = nodes[1].Coords();
							//real_array v2 = nodes[2].Coords();
							//vec_diff(v1,v0,l1,mdim);
							//vec_diff(v2,v0,l2,mdim);
							//vec_cross_product(l1,l2,n0);
							real_array v0 = nodes[0].Coords(), v1, v2;
							for(int i = 1; i < (int)nodes.size()-1; i++)
							{
								v1 = nodes[i].Coords();
								v2 = nodes[i+1].Coords();
								vec_diff(v1,v0,l1,mdim);
								vec_diff(v2,v0,l2,mdim);
								vec_cross_product(l1,l2,nt);
								for(int q = 0; q < 3; ++q)
									n0[q] += nt[q]*0.5;
							}
Kirill Terekhov's avatar
Kirill Terekhov committed
980
							for(int i = 1; i < (int)nodes.size()-1; i++)
Kirill Terekhov's avatar
Kirill Terekhov committed
981
							{
Kirill Terekhov's avatar
Kirill Terekhov committed
982
983
984
985
986
987
								v1 = nodes[i].Coords();
								v2 = nodes[i+1].Coords();
								vec_diff(v1,v0,l1,mdim);
								vec_diff(v2,v0,l2,mdim);
								vec_cross_product(l1,l2,nt);
								ss = vec_dot_product(n0,nt,3);
988
								if( ss ) ss /= fabs(ss);
Kirill Terekhov's avatar
Kirill Terekhov committed
989
								*ret += sqrt(vec_dot_product(nt,nt,3))*0.5*ss;
Kirill Terekhov's avatar
Kirill Terekhov committed
990
							}
991
							if( *ret != *ret ) std::cout << "area is nan" << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
992
							*ret = fabs(*ret);
Kirill Terekhov's avatar
Kirill Terekhov committed
993
						} else *ret = 0;
Kirill Terekhov's avatar
Kirill Terekhov committed
994
995
996
997
998
						//~ if( isnan(*ret) || fabs(*ret) < 1e-15  ) throw -1;
						break;
					}
					case 3: //volume of cell
					{
999
1000
						//bool print = false;
//redo:
Kirill Terekhov's avatar
Kirill Terekhov committed
1001
1002
						Cell me = Cell(this,e);
						ElementArray<Face> faces = me->getFaces();
1003
						bool ornt = true;//!HaveGeometricData(ORIENTATION,FACE);
Kirill Terekhov's avatar
Kirill Terekhov committed
1004
1005
						MarkerType rev = 0;
						if( ornt )
Kirill Terekhov's avatar
Kirill Terekhov committed
1006
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
1007
1008
							rev = CreatePrivateMarker();
							FacesOrientation(faces,rev);
Kirill Terekhov's avatar
Kirill Terekhov committed
1009
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
1010
1011
1012
						real vol = 0, a, at;
						real x[3] = {0,0,0}, n[3] = {0,0,0}, n0[3] = {0,0,0}, s, ss;
						real l1[3] = {0,0,0}, l2[3] = {0,0,0};
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1013
1014
						real nt[3] = {0,0,0}, cx[3] = {0,0,0};
						me.Centroid(cx);
1015
						//if( print ) std::cout << "cx: " << cx[0] << " " << cx[1] << " " << cx[2] << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
1016
						for(unsigned j = 0; j < faces.size(); j++)
Kirill Terekhov's avatar
Kirill Terekhov committed
1017
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
1018
1019
1020
1021
1022
1023
1024
1025
							//compute normal to face
							ElementArray<Node> nodes = faces[j].getNodes();
							if( ornt )
								s = faces[j].GetPrivateMarker(rev) ? -1.0 : 1.0;
							else
								s = faces[j].FaceOrientedOutside(me) ? 1.0 : -1.0;
							x[0] = x[1] = x[2] = 0;
							n[0] = n[1] = n[2] = 0;
1026
							n0[0] = n0[1] = n0[2] = 0;
Kirill Terekhov's avatar
Kirill Terekhov committed
1027
							a = 0;
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
							//real_array v0 = nodes[0].Coords();
							//real_array v1 = nodes[1].Coords();
							//real_array v2 = nodes[2].Coords();
							//vec_diff(v1,v0,l1,mdim);
							//vec_diff(v2,v0,l2,mdim);
							//vec_cross_product(l1,l2,n0);
							real_array v0 = nodes[0].Coords(), v1, v2;
							for(int i = 1; i < (int)nodes.size()-1; i++)
							{
								v1 = nodes[i].Coords();
								v2 = nodes[i+1].Coords();
								vec_diff(v1,v0,l1,mdim);
								vec_diff(v2,v0,l2,mdim);
								vec_cross_product(l1,l2,nt);
								//if( print ) std::cout << "nt: " << nt[0] << " " << nt[1] << " " << nt[2] << std::endl;
								for(int q = 0; q < 3; ++q)
									n0[q] += nt[q]*0.5;
							}
							//if( print ) std::cout << "n0: " << n0[0] << " " << n0[1] << " " << n0[2] << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
1047
							for(int k = 1; k < (int)nodes.size()-1; k++)
Kirill Terekhov's avatar
Kirill Terekhov committed
1048
							{
Kirill Terekhov's avatar
Kirill Terekhov committed
1049
1050
1051
1052
1053
1054
1055
								v1 = nodes[k+0].Coords();
								v2 = nodes[k+1].Coords();
								vec_diff(v1,v0,l1,mdim);
								vec_diff(v2,v0,l2,mdim);
								vec_cross_product(l1,l2,nt);
								for(int q = 0; q < 3; ++q) nt[q] *= 0.5;
								ss = vec_dot_product(n0,nt,3);
1056
								if( ss ) ss /= fabs(ss);
Kirill Terekhov's avatar
Kirill Terekhov committed
1057
								at = sqrt(vec_dot_product(nt,nt,3))*ss;
1058
								//if( print ) std::cout << "nt: " << nt[0] << " " << nt[1] << " " << nt[2] << " ss " << ss << " at " << at << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
1059
1060
1061
1062
1063
								//same as faces[j].Normal(n)
								for(int q = 0; q < 3; ++q)
									n[q] += nt[q];
								//same as faces[j].Centroid(x)
								for(int q = 0; q < 3; ++q)
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1064
									x[q] += at*((v0[q]-cx[q])+(v1[q]-cx[q])+(v2[q]-cx[q]))/3.0;
Kirill Terekhov's avatar
Kirill Terekhov committed
1065
								a += at;
Kirill Terekhov's avatar
Kirill Terekhov committed
1066
							}
1067
1068
							//if( print ) std::cout << "n: " << n[0] << " " << n[1] << " " << n[2] << std::endl;
							//if( print ) std::cout << "x: " << x[0] << " " << x[1] << " " << x[2] << " a " << a << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
1069
1070
1071
							for(int q = 0; q < 3; ++q) x[q] /= a;
							vol += s*vec_dot_product(x,n,3);
						}
1072
						//if( print ) std::cout << "vol: " << vol << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
1073
1074
1075
						if( ornt )
						{
							if( vol < 0.0 ) vol = -vol;
Kirill Terekhov's avatar
Kirill Terekhov committed
1076
							faces.RemPrivateMarker(rev);
Kirill Terekhov's avatar
Kirill Terekhov committed
1077
							ReleasePrivateMarker(rev);
Kirill Terekhov's avatar
Kirill Terekhov committed
1078
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
1079
						*ret = vol/3.0;
1080
1081
1082
1083
1084
1085
						//if( *ret < 0 || *ret != *ret ) 
						//{
						//	std::cout << "volume is " << *ret << std::endl;
						//	print = true;
						//	goto redo;
						//}
Kirill Terekhov's avatar
Kirill Terekhov committed
1086
1087
1088
1089
1090
1091
1092
						break;
					}
				}
			}
			//~ if( isnan(*ret) || fabs(*ret) < 1e-15  ) throw -1;
			break;
			case CENTROID:
Kirill Terekhov's avatar
Kirill Terekhov committed
1093
1094
1095
				if(etype == NODE )
					memcpy(ret,MGetDenseLink(e,CoordsTag()),sizeof(real)*mdim);
				else if(HaveGeometricData(CENTROID,etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
1096
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
1097
1098
1099
1100
1101
1102
1103
					memcpy(ret,MGetDenseLink(e,centroid_tag),sizeof(real)*mdim);
				}
				else
				{
					ElementArray<Node> nodes = Element(this,e).getNodes();
					memset(ret,0,sizeof(real)*mdim);
					for(unsigned k = 0; k < nodes.size(); ++k)
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
1104
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
1105
1106
						for(int q = 0; q < mdim; ++q)
							ret[q] += nodes[k].Coords()[q];
Kirill Terekhov's avatar
Fixes    
Kirill Terekhov committed
1107
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
1108
1109
					for(int q = 0; q < mdim; ++q)
						ret[q] /= (real)nodes.size();
Kirill Terekhov's avatar
Kirill Terekhov committed
1110
1111
1112
				}
			break;
			case BARYCENTER:
Kirill Terekhov's avatar
Kirill Terekhov committed
1113
			if(etype == NODE )
Kirill Terekhov's avatar
Kirill Terekhov committed
1114
				memcpy(ret,MGetDenseLink(e,CoordsTag()),sizeof(real)*mdim);
Kirill Terekhov's avatar
Kirill Terekhov committed
1115
			else if(HaveGeometricData(BARYCENTER,etype))
Kirill Terekhov's avatar
Kirill Terekhov committed
1116
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
1117
				memcpy(ret,MGetDenseLink(e,barycenter_tag),sizeof(real)*mdim);
Kirill Terekhov's avatar
Kirill Terekhov committed
1118
			}
Kirill Terekhov's avatar
Kirill Terekhov committed
1119
1120
1121
1122
1123
			else
			{
				memset(ret,0,sizeof(real)*mdim);
				if( edim == 1 )
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
1124
					ElementArray<Node> n = Element(this,e)->getNodes();
Kirill Terekhov's avatar
Kirill Terekhov committed
1125
1126
					if( n.size() == 2 )
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
1127
1128
1129
1130
						real_array v0 = n[0].Coords();
						real_array v1 = n[1].Coords();
						for(integer j = 0; j < dim; j++)
							ret[j] = (v0[j] + v1[j])*0.5;
Kirill Terekhov's avatar
Kirill Terekhov committed
1131
1132
1133
					}
					else if( n.size() == 1 )
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
1134
1135
						real_array v0 = n[0].Coords();
						for(integer j = 0; j < dim; j++) ret[j] = v0[j];
Kirill Terekhov's avatar
Kirill Terekhov committed
1136
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
1137
1138
1139
				}
				else if( edim == 2 )
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
1140
					ElementArray<Node> nodes = Element(this,e)->getNodes();
Kirill Terekhov's avatar
Kirill Terekhov committed
1141
					if( nodes.size() > 2 )
Kirill Terekhov's avatar
Kirill Terekhov committed
1142
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
1143
1144
						*ret = 0;
						real nt[3] = {0,0,0}, l1[3] = {0,0,0}, l2[3] = {0,0,0};
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1145
						real c[3] = {0,0,0}, n0[3] = {0,0,0}, ss, cx[3] = {0,0,0};
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
						//real_array v0 = nodes[0].Coords();
						//real_array v1 = nodes[1].Coords();
						//real_array v2 = nodes[2].Coords();
						//vec_diff(v1,v0,l1,mdim);
						//vec_diff(v2,v0,l2,mdim);
						//vec_cross_product(l1,l2,n0);
						real_array v0 = nodes[0].Coords(), v1, v2;
						for(int i = 1; i < (int)nodes.size()-1; i++)
						{
							v1 = nodes[i].Coords();
							v2 = nodes[i+1].Coords();
							vec_diff(v1,v0,l1,mdim);
							vec_diff(v2,v0,l2,mdim);
							vec_cross_product(l1,l2,nt);
							for(int q = 0; q < 3; ++q)
								n0[q] += nt[q]*0.5;
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
1163
						real a = 0, at;
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1164
						Element(this,e).Centroid(cx);
Kirill Terekhov's avatar
Kirill Terekhov committed
1165
						for(int i = 1; i < (int)nodes.size()-1; i++)
Kirill Terekhov's avatar
Kirill Terekhov committed
1166
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
1167
1168
1169
1170
1171
1172
							real_array v1 = nodes[i].Coords();
							real_array v2 = nodes[i+1].Coords();
							vec_diff(v1,v0,l1,mdim);
							vec_diff(v2,v0,l2,mdim);
							vec_cross_product(l1,l2,nt);
							ss = vec_dot_product(n0,nt,3);
1173
							if( ss ) ss /= fabs(ss);
Kirill Terekhov's avatar
Kirill Terekhov committed
1174
1175
							at = sqrt(vec_dot_product(nt,nt,3))*0.5*ss;
							for(int q = 0; q < mdim; ++q)
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1176
								c[q] += at*((v0[q]-cx[q])+(v1[q]-cx[q])+(v2[q]-cx[q]))/3.0;
Kirill Terekhov's avatar
Kirill Terekhov committed
1177
							a += at;
Kirill Terekhov's avatar
Kirill Terekhov committed
1178
						}
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1179
						for(int q = 0; q < mdim; ++q) ret[q] = c[q]/a+cx[q];
Kirill Terekhov's avatar
Kirill Terekhov committed
1180
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
1181
1182
1183
1184
1185
1186
					//std::cout << ret[0] << " " << ret[1] << " " << ret[2] << std::endl;
				}
				else if( edim == 3 )
				{
					Cell me = Cell(this,e);
					ElementArray<Face> faces = me->getFaces();
1187
					bool ornt = true;//!HaveGeometricData(ORIENTATION,FACE);
Kirill Terekhov's avatar
Kirill Terekhov committed
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
					MarkerType rev = 0;
					if( ornt )
					{
						rev = CreatePrivateMarker();
						FacesOrientation(faces,rev);
					}
					real vol = 0, a, at;
					real x[3] = {0,0,0}, nt[3] = {0,0,0}, s;
					real c[3] = {0,0,0}, n[3] = {0,0,0};
					real n0[3] = {0,0,0}, ss;
					real l1[3] = {0,0,0}, l2[3] = {0,0,0};
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1199
1200
					real cx[3] = {0,0,0};
					me.Centroid(cx);
Kirill Terekhov's avatar
Kirill Terekhov committed
1201
					for(unsigned j = 0; j < faces.size(); j++)
Kirill Terekhov's avatar
Kirill Terekhov committed
1202
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
1203
1204
1205
1206
1207
1208
						//compute normal to face
						ElementArray<Node> nodes = faces[j].getNodes();
						if( ornt )
							s = faces[j].GetPrivateMarker(rev) ? -1.0 : 1.0;
						else
							s = faces[j].FaceOrientedOutside(me) ? 1.0 : -1.0;
1209
1210
1211
1212
1213
1214
1215
						//real_array v0 = nodes[0].Coords();
						//real_array v1 = nodes[1].Coords();
						//real_array v2 = nodes[2].Coords();
						//vec_diff(v1,v0,l1,mdim);
						//vec_diff(v2,v0,l2,mdim);
						//vec_cross_product(l1,l2,n0);
						n0[0] = n0[1] = n0[2] = 0;
Kirill Terekhov's avatar
Kirill Terekhov committed
1216
1217
1218
						x[0] = x[1] = x[2] = 0;
						n[0] = n[1] = n[2] = 0;
						a = 0;
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
						real_array v0 = nodes[0].Coords(), v1, v2;
						for(int i = 1; i < (int)nodes.size()-1; i++)
						{
							v1 = nodes[i].Coords();
							v2 = nodes[i+1].Coords();
							vec_diff(v1,v0,l1,mdim);
							vec_diff(v2,v0,l2,mdim);
							vec_cross_product(l1,l2,nt);
							for(int q = 0; q < 3; ++q)
								n0[q] += nt[q]*0.5;
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
1230
						for(int i = 1; i < (int)nodes.size()-1; i++)
Kirill Terekhov's avatar
Kirill Terekhov committed
1231
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
1232
1233
1234
1235
1236
1237
1238
1239
							real_array v1 = nodes[i].Coords();
							real_array v2 = nodes[i+1].Coords();
							vec_diff(v1,v0,l1,mdim);
							vec_diff(v2,v0,l2,mdim);
							vec_cross_product(l1,l2,nt);
							for(int q = 0; q < 3; ++q)
								nt[q] *= 0.5;
							ss = vec_dot_product(n0,nt,3);
1240
							if( ss ) ss /= fabs(ss);
Kirill Terekhov's avatar
Kirill Terekhov committed
1241
1242
1243
1244
1245
1246
							at = sqrt(vec_dot_product(nt,nt,3))*ss;
							//same as faces[j].Normal(n)
							for(int q = 0; q < 3; ++q)
								n[q] += nt[q];
							//same as faces[j].Centroid(x)
							for(int q = 0; q < 3; ++q)
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1247
								x[q] += at*((v0[q]-cx[q])+(v1[q]-cx[q])+(v2[q]-cx[q]))/3.0;
Kirill Terekhov's avatar
Kirill Terekhov committed
1248
1249
1250
							a += at;
							//second-order midpoint formula
							for(int q = 0; q < 3; ++q)
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1251
								c[q] += s*nt[q]*(pow((v0[q]-cx[q])+(v1[q]-cx[q]),2)+pow((v0[q]-cx[q])+(v2[q]-cx[q]),2)+pow((v1[q]-cx[q])+(v2[q]-cx[q]),2))/24.0;
Kirill Terekhov's avatar
Kirill Terekhov committed
1252
						}
Kirill Terekhov's avatar
Updates    
Kirill Terekhov committed
1253
						for(int q = 0; q < 3; ++q) x[q] = x[q]/a;
Kirill Terekhov's avatar
Kirill Terekhov committed
1254
						vol += s*vec_dot_product(x,n,3);
Kirill Terekhov's avatar
Kirill Terekhov committed
1255
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
1256
					if( ornt )
Kirill Terekhov's avatar
Kirill Terekhov committed
1257
					{
Kirill Terekhov's avatar
Kirill Terekhov committed
1258
						if( vol < 0.0 )
Kirill Terekhov's avatar
Kirill Terekhov committed
1259
						{
Kirill Terekhov's avatar
Kirill Terekhov committed
1260
1261
1262
							vol = -vol;
							for(int q = 0; q < 3; ++q)
								c[q] = -c[q];
Kirill Terekhov's avatar
Kirill Terekhov committed
1263
						}
Kirill Terekhov's avatar
Kirill Terekhov committed
1264
1265
						faces.RemPrivateMarker(rev);
						ReleasePrivateMarker(rev);
Kirill Terekhov's avatar
Kirill Terekhov committed
1266
					}
Kirill Terekhov's avatar
Kirill Terekhov committed
1267
					vol /= 3.0;
1268
1269
1270
1271
1272
1273
					if( vol ) 
					{
						for(int q = 0; q < mdim; ++q)
							ret[q] = c[q]/(vol) + cx[q];
					}
					else for(int q = 0; q < mdim; ++q) ret[q] = cx[q];
Kirill Terekhov's avatar
Kirill Terekhov committed
1274
					//std::cout << ret[0] << " " << ret[1] << " " << ret[2] << std::endl;
Kirill Terekhov's avatar
Kirill Terekhov committed
1275
1276
1277
1278
1279
				}
			}
			break;
			case NORMAL:
			{
Kirill Terekhov's avatar
Kirill Terekhov committed
1280
				if( HaveGeometricData(NORMAL,etype) )
Kirill Terekhov's avatar
Kirill Terekhov committed
1281
				{
Kirill Terekhov's avatar
Kirill Terekhov committed
1282
					memcpy(ret,MGetDenseLink(e,normal_tag),sizeof(real)*mdim);