1 // Copyright (C) 2007-2008 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
22 // File : SMDS_VolumeTool.cxx
23 // Created : Tue Jul 13 12:22:13 2004
24 // Author : Edward AGAPOV (eap)
27 #pragma warning(disable:4786)
30 #include "SMDS_VolumeTool.hxx"
32 #include "SMDS_MeshElement.hxx"
33 #include "SMDS_MeshNode.hxx"
34 #include "SMDS_PolyhedralVolumeOfNodes.hxx"
35 #include "SMDS_Mesh.hxx"
37 #include "utilities.h"
45 // ======================================================
46 // Node indices in faces depending on volume orientation
47 // making most faces normals external
48 // ======================================================
56 // N0 +---|---+ N1 TETRAHEDRON
64 static int Tetra_F [4][4] = { // FORWARD == EXTERNAL
65 { 0, 1, 2, 0 }, // All faces have external normals
69 static int Tetra_R [4][4] = { // REVERSED
70 { 0, 1, 2, 0 }, // All faces but a bottom have external normals
74 static int Tetra_RE [4][4] = { // REVERSED -> FORWARD (EXTERNAL)
75 { 0, 2, 1, 0 }, // All faces have external normals
79 static int Tetra_nbN [] = { 3, 3, 3, 3 };
84 static int Pyramid_F [5][5] = { // FORWARD == EXTERNAL
85 { 0, 1, 2, 3, 0 }, // All faces have external normals
90 static int Pyramid_R [5][5] = { // REVERSED
91 { 0, 1, 2, 3, 0 }, // All faces but a bottom have external normals
96 static int Pyramid_RE [5][5] = { // REVERSED -> FORWARD (EXTERNAL)
97 { 0, 3, 2, 1, 0 }, // All faces but a bottom have external normals
102 static int Pyramid_nbN [] = { 4, 3, 3, 3, 3 };
113 // | / \ | PENTAHEDRON
119 static int Penta_F [5][5] = { // FORWARD
120 { 0, 1, 2, 0, 0 }, // Top face has an internal normal, other - external
121 { 3, 4, 5, 3, 3 }, // 0 is bottom, 1 is top face
125 static int Penta_R [5][5] = { // REVERSED
126 { 0, 1, 2, 0, 0 }, // Bottom face has an internal normal, other - external
127 { 3, 4, 5, 3, 3 }, // 0 is bottom, 1 is top face
131 static int Penta_FE [5][5] = { // FORWARD -> EXTERNAL
137 static int Penta_RE [5][5] = { // REVERSED -> EXTERNAL
143 static int Penta_nbN [] = { 3, 3, 4, 4, 4 };
150 // N4+----------+N7 |
151 // | | | | HEXAHEDRON
154 // | N1+------|---+N2
160 static int Hexa_F [6][5] = { // FORWARD
161 { 0, 1, 2, 3, 0 }, // opposite faces are neighbouring,
162 { 4, 5, 6, 7, 4 }, // odd face(1,3,5) normal is internal, even(0,2,4) - external
163 { 1, 0, 4, 5, 1 }, // same index nodes of opposite faces are linked
167 // static int Hexa_R [6][5] = { // REVERSED
168 // { 0, 3, 2, 1, 0 }, // opposite faces are neighbouring,
169 // { 4, 7, 6, 5, 4 }, // odd face(1,3,5) normal is external, even(0,2,4) - internal
170 // { 1, 5, 4, 0, 1 }, // same index nodes of opposite faces are linked
171 // { 2, 6, 7, 3, 2 },
172 // { 0, 4, 7, 3, 0 },
173 // { 1, 5, 6, 2, 1 }};
174 static int Hexa_FE [6][5] = { // FORWARD -> EXTERNAL
175 { 0, 1, 2, 3, 0 } , // opposite faces are neighbouring,
176 { 4, 7, 6, 5, 4 }, // all face normals are external,
177 { 0, 4, 5, 1, 0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
181 static int Hexa_RE [6][5] = { // REVERSED -> EXTERNAL
182 { 0, 3, 2, 1, 0 }, // opposite faces are neighbouring,
183 { 4, 5, 6, 7, 4 }, // all face normals are external,
184 { 0, 1, 5, 4, 0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
188 static int Hexa_nbN [] = { 4, 4, 4, 4, 4, 4 };
197 // N0 +---|---+ N1 TETRAHEDRON
205 static int QuadTetra_F [4][7] = { // FORWARD == EXTERNAL
206 { 0, 4, 1, 5, 2, 6, 0 }, // All faces have external normals
207 { 0, 7, 3, 8, 1, 4, 0 },
208 { 1, 8, 3, 9, 2, 5, 1 },
209 { 0, 6, 2, 9, 3, 7, 0 }};
210 static int QuadTetra_R [4][7] = { // REVERSED
211 { 0, 4, 1, 5, 2, 6, 0 }, // All faces but a bottom have external normals
212 { 0, 4, 1, 8, 3, 7, 0 },
213 { 1, 5, 2, 9, 3, 8, 1 },
214 { 0, 7, 3, 9, 2, 6, 0 }};
215 static int QuadTetra_RE [4][7] = { // REVERSED -> FORWARD (EXTERNAL)
216 { 0, 6, 2, 5, 1, 4, 0 }, // All faces have external normals
217 { 0, 4, 1, 8, 3, 7, 0 },
218 { 1, 5, 2, 9, 3, 8, 1 },
219 { 0, 7, 3, 9, 2, 6, 0 }};
220 static int QuadTetra_nbN [] = { 6, 6, 6, 6 };
230 // | | 9 - middle point for (0,4) etc.
243 static int QuadPyram_F [5][9] = { // FORWARD == EXTERNAL
244 { 0, 5, 1, 6, 2, 7, 3, 8, 0 }, // All faces have external normals
245 { 0, 9, 4, 10,1, 5, 0, 4, 4 },
246 { 1, 10,4, 11,2, 6, 1, 4, 4 },
247 { 2, 11,4, 12,3, 7, 2, 4, 4 },
248 { 3, 12,4, 9, 0, 8, 3, 4, 4 }};
249 static int QuadPyram_R [5][9] = { // REVERSED
250 { 0, 5, 1, 6, 2, 7, 3, 8, 0 }, // All faces but a bottom have external normals
251 { 0, 5, 1, 10,4, 9, 0, 4, 4 },
252 { 1, 6, 2, 11,4, 10,1, 4, 4 },
253 { 2, 7, 3, 12,4, 11,2, 4, 4 },
254 { 3, 8, 0, 9, 4, 12,3, 4, 4 }};
255 static int QuadPyram_RE [5][9] = { // REVERSED -> FORWARD (EXTERNAL)
256 { 0, 8, 3, 7, 2, 6, 1, 5, 0 }, // All faces but a bottom have external normals
257 { 0, 5, 1, 10,4, 9, 0, 4, 4 },
258 { 1, 6, 2, 11,4, 10,1, 4, 4 },
259 { 2, 7, 3, 12,4, 11,2, 4, 4 },
260 { 3, 8, 0, 9, 4, 12,3, 4, 4 }};
261 static int QuadPyram_nbN [] = { 8, 6, 6, 6, 6 };
288 static int QuadPenta_F [5][9] = { // FORWARD
289 { 0, 6, 1, 7, 2, 8, 0, 0, 0 }, // Top face has an internal normal, other - external
290 { 3, 9, 4, 10,5, 11,3, 3, 3 }, // 0 is bottom, 1 is top face
291 { 0, 8, 2, 14,5, 11,3, 12,0 },
292 { 1, 13,4, 10,5, 14,2, 7, 1 },
293 { 0, 12,3, 9, 4, 13,1, 6, 0 }};
294 static int QuadPenta_R [5][9] = { // REVERSED
295 { 0, 6, 1, 7, 2, 8, 0, 0, 0 }, // Bottom face has an internal normal, other - external
296 { 3, 9, 4, 10,5, 11,3, 3, 3 }, // 0 is bottom, 1 is top face
297 { 0, 12,3, 11,5, 14,2, 8, 0 },
298 { 1, 7, 2, 14,5, 10,4, 13,1 },
299 { 0, 6, 1, 13,4, 9, 3, 12,0 }};
300 static int QuadPenta_FE [5][9] = { // FORWARD -> EXTERNAL
301 { 0, 6, 1, 7, 2, 8, 0, 0, 0 },
302 { 3,11, 5, 10,4, 9, 3, 3, 3 },
303 { 0, 8, 2, 14,5, 11,3, 12,0 },
304 { 1, 13,4, 10,5, 14,2, 7, 1 },
305 { 0, 12,3, 9, 4, 13,1, 6, 0 }};
306 static int QuadPenta_RE [5][9] = { // REVERSED -> EXTERNAL
307 { 0, 8, 2, 7, 1, 6, 0, 0, 0 },
308 { 3, 9, 4, 10,5, 11,3, 3, 3 },
309 { 0, 12,3, 11,5, 14,2, 8, 0 },
310 { 1, 7, 2, 14,5, 10,4, 13,1 },
311 { 0, 6, 1, 13,4, 9, 3, 12,0 }};
312 static int QuadPenta_nbN [] = { 6, 6, 8, 8, 8 };
320 // N4+-----+-----+N7 | QUADRATIC
321 // | | 15 | | HEXAHEDRON
330 // | N1+-----+-|---+N2
337 static int QuadHexa_F [6][9] = { // FORWARD
338 { 0, 8, 1, 9, 2, 10,3, 11,0 }, // opposite faces are neighbouring,
339 { 4, 12,5, 13,6, 14,7, 15,4 }, // odd face(1,3,5) normal is internal, even(0,2,4) - external
340 { 1, 8, 0, 16,4, 12,5, 17,1 }, // same index nodes of opposite faces are linked
341 { 2, 10,3, 19,7, 14,6, 18,2 },
342 { 0, 11,3, 19,7, 15,4, 16,0 },
343 { 1, 9, 2, 18,6, 13,5, 17,1 }};
344 // static int Hexa_R [6][5] = { // REVERSED
345 // { 0, 3, 2, 1, 0 }, // opposite faces are neighbouring,
346 // { 4, 7, 6, 5, 4 }, // odd face(1,3,5) normal is external, even(0,2,4) - internal
347 // { 1, 5, 4, 0, 1 }, // same index nodes of opposite faces are linked
348 // { 2, 6, 7, 3, 2 },
349 // { 0, 4, 7, 3, 0 },
350 // { 1, 5, 6, 2, 1 }};
351 static int QuadHexa_FE [6][9] = { // FORWARD -> EXTERNAL
352 { 0, 8, 1, 9, 2, 10,3, 11,0 }, // opposite faces are neighbouring,
353 { 4, 15,7, 14,6, 13,5, 12,4 }, // all face normals are external,
354 { 0, 16,4, 12,5, 17,1, 8, 0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
355 { 3, 10,2, 18,6, 14,7, 19,3 },
356 { 0, 11,3, 19,7, 15,4, 16,0 },
357 { 1, 17,5, 13,6, 18,2, 9, 1 }};
358 static int QuadHexa_RE [6][9] = { // REVERSED -> EXTERNAL
359 { 0, 11,3, 10,2, 9, 1, 8, 0 }, // opposite faces are neighbouring,
360 { 4, 12,5, 13,6, 14,7, 15,4 }, // all face normals are external,
361 { 0, 8, 1, 17,5, 12,4, 16,0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
362 { 3, 19,7, 14,6, 18,2, 10,3 },
363 { 0, 16,4, 15,7, 19,3, 11,0 },
364 { 1, 9, 2, 18,6, 13,5, 17,1 }};
365 static int QuadHexa_nbN [] = { 8, 8, 8, 8, 8, 8 };
368 // ========================================================
369 // to perform some calculations without linkage to CASCADE
370 // ========================================================
377 XYZ() { x = 0; y = 0; z = 0; }
378 XYZ( double X, double Y, double Z ) { x = X; y = Y; z = Z; }
379 XYZ( const XYZ& other ) { x = other.x; y = other.y; z = other.z; }
380 XYZ( const SMDS_MeshNode* n ) { x = n->X(); y = n->Y(); z = n->Z(); }
381 inline XYZ operator-( const XYZ& other );
382 inline XYZ Crossed( const XYZ& other );
383 inline double Dot( const XYZ& other );
384 inline double Magnitude();
386 inline XYZ XYZ::operator-( const XYZ& Right ) {
387 return XYZ(x - Right.x, y - Right.y, z - Right.z);
389 inline XYZ XYZ::Crossed( const XYZ& Right ) {
390 return XYZ (y * Right.z - z * Right.y,
391 z * Right.x - x * Right.z,
392 x * Right.y - y * Right.x);
394 inline double XYZ::Dot( const XYZ& Other ) {
395 return(x * Other.x + y * Other.y + z * Other.z);
397 inline double XYZ::Magnitude() {
398 return sqrt (x * x + y * y + z * z);
402 //=======================================================================
403 //function : SMDS_VolumeTool
405 //=======================================================================
407 SMDS_VolumeTool::SMDS_VolumeTool ()
410 myVolForward( true ),
412 myVolumeNbNodes( 0 ),
413 myVolumeNodes( NULL ),
414 myExternalFaces( false ),
417 myFaceNodeIndices( NULL ),
422 //=======================================================================
423 //function : SMDS_VolumeTool
425 //=======================================================================
427 SMDS_VolumeTool::SMDS_VolumeTool (const SMDS_MeshElement* theVolume)
430 myVolForward( true ),
432 myVolumeNbNodes( 0 ),
433 myVolumeNodes( NULL ),
434 myExternalFaces( false ),
437 myFaceNodeIndices( NULL ),
443 //=======================================================================
444 //function : SMDS_VolumeTool
446 //=======================================================================
448 SMDS_VolumeTool::~SMDS_VolumeTool()
450 if (myVolumeNodes != NULL) {
451 delete [] myVolumeNodes;
452 myVolumeNodes = NULL;
454 if (myFaceNodes != NULL) {
455 delete [] myFaceNodes;
460 //=======================================================================
461 //function : SetVolume
462 //purpose : Set volume to iterate on
463 //=======================================================================
465 bool SMDS_VolumeTool::Set (const SMDS_MeshElement* theVolume)
473 if (myVolumeNodes != NULL) {
474 delete [] myVolumeNodes;
475 myVolumeNodes = NULL;
478 myExternalFaces = false;
482 myFaceNodeIndices = NULL;
483 if (myFaceNodes != NULL) {
484 delete [] myFaceNodes;
488 if ( theVolume && theVolume->GetType() == SMDSAbs_Volume )
490 myVolume = theVolume;
492 myNbFaces = theVolume->NbFaces();
493 myVolumeNbNodes = theVolume->NbNodes();
497 myVolumeNodes = new const SMDS_MeshNode* [myVolumeNbNodes];
498 SMDS_ElemIteratorPtr nodeIt = myVolume->nodesIterator();
499 while ( nodeIt->more() ) {
500 myVolumeNodes[ iNode++ ] = static_cast<const SMDS_MeshNode*>( nodeIt->next() );
503 if (myVolume->IsPoly()) {
504 myPolyedre = static_cast<const SMDS_PolyhedralVolumeOfNodes*>( myVolume );
506 MESSAGE("Warning: bad volumic element");
511 switch ( myVolumeNbNodes ) {
520 // define volume orientation
522 GetFaceNormal( 0, botNormal.x, botNormal.y, botNormal.z );
523 const SMDS_MeshNode* topNode = myVolumeNodes[ myVolumeNbNodes - 1 ];
524 const SMDS_MeshNode* botNode = myVolumeNodes[ 0 ];
525 XYZ upDir (topNode->X() - botNode->X(),
526 topNode->Y() - botNode->Y(),
527 topNode->Z() - botNode->Z() );
528 myVolForward = ( botNormal.Dot( upDir ) < 0 );
536 return ( myVolume != 0 );
539 //=======================================================================
541 //purpose : Inverse volume
542 //=======================================================================
544 #define SWAP_NODES(nodes,i1,i2) \
546 const SMDS_MeshNode* tmp = nodes[ i1 ]; \
547 nodes[ i1 ] = nodes[ i2 ]; \
550 void SMDS_VolumeTool::Inverse ()
552 if ( !myVolume ) return;
554 if (myVolume->IsPoly()) {
555 MESSAGE("Warning: attempt to inverse polyhedral volume");
559 myVolForward = !myVolForward;
562 // inverse top and bottom faces
563 switch ( myVolumeNbNodes ) {
565 SWAP_NODES( myVolumeNodes, 1, 2 );
568 SWAP_NODES( myVolumeNodes, 1, 3 );
571 SWAP_NODES( myVolumeNodes, 1, 2 );
572 SWAP_NODES( myVolumeNodes, 4, 5 );
575 SWAP_NODES( myVolumeNodes, 1, 3 );
576 SWAP_NODES( myVolumeNodes, 5, 7 );
580 SWAP_NODES( myVolumeNodes, 1, 2 );
581 SWAP_NODES( myVolumeNodes, 4, 6 );
582 SWAP_NODES( myVolumeNodes, 8, 9 );
585 SWAP_NODES( myVolumeNodes, 1, 3 );
586 SWAP_NODES( myVolumeNodes, 5, 8 );
587 SWAP_NODES( myVolumeNodes, 6, 7 );
588 SWAP_NODES( myVolumeNodes, 10, 12 );
591 SWAP_NODES( myVolumeNodes, 1, 2 );
592 SWAP_NODES( myVolumeNodes, 4, 5 );
593 SWAP_NODES( myVolumeNodes, 6, 8 );
594 SWAP_NODES( myVolumeNodes, 9, 11 );
595 SWAP_NODES( myVolumeNodes, 13, 14 );
598 SWAP_NODES( myVolumeNodes, 1, 3 );
599 SWAP_NODES( myVolumeNodes, 5, 7 );
600 SWAP_NODES( myVolumeNodes, 8, 11 );
601 SWAP_NODES( myVolumeNodes, 9, 10 );
602 SWAP_NODES( myVolumeNodes, 12, 15 );
603 SWAP_NODES( myVolumeNodes, 13, 14 );
604 SWAP_NODES( myVolumeNodes, 17, 19 );
610 //=======================================================================
611 //function : GetVolumeType
613 //=======================================================================
615 SMDS_VolumeTool::VolumeType SMDS_VolumeTool::GetVolumeType() const
621 // static const VolumeType types[] = {
622 // TETRA, // myVolumeNbNodes = 4
623 // PYRAM, // myVolumeNbNodes = 5
624 // PENTA, // myVolumeNbNodes = 6
625 // UNKNOWN, // myVolumeNbNodes = 7
626 // HEXA // myVolumeNbNodes = 8
628 // return types[ myVolumeNbNodes - 4 ];
629 switch(myVolumeNbNodes) {
630 case 4: return TETRA; break;
631 case 5: return PYRAM; break;
632 case 6: return PENTA; break;
633 case 8: return HEXA; break;
634 case 10: return QUAD_TETRA; break;
635 case 13: return QUAD_PYRAM; break;
636 case 15: return QUAD_PENTA; break;
637 case 20: return QUAD_HEXA; break;
645 //=======================================================================
646 //function : getTetraVolume
648 //=======================================================================
650 static double getTetraVolume(const SMDS_MeshNode* n1,
651 const SMDS_MeshNode* n2,
652 const SMDS_MeshNode* n3,
653 const SMDS_MeshNode* n4)
671 double Q1 = -(X1-X2)*(Y3*Z4-Y4*Z3);
672 double Q2 = (X1-X3)*(Y2*Z4-Y4*Z2);
673 double R1 = -(X1-X4)*(Y2*Z3-Y3*Z2);
674 double R2 = -(X2-X3)*(Y1*Z4-Y4*Z1);
675 double S1 = (X2-X4)*(Y1*Z3-Y3*Z1);
676 double S2 = -(X3-X4)*(Y1*Z2-Y2*Z1);
678 return (Q1+Q2+R1+R2+S1+S2)/6.0;
681 //=======================================================================
683 //purpose : Return element volume
684 //=======================================================================
686 double SMDS_VolumeTool::GetSize() const
692 if ( myVolume->IsPoly() )
697 // split a polyhedron into tetrahedrons
699 SMDS_VolumeTool* me = const_cast< SMDS_VolumeTool* > ( this );
701 me->GetBaryCenter(baryCenter.x, baryCenter.y, baryCenter.z);
702 SMDS_MeshNode bcNode ( baryCenter.x, baryCenter.y, baryCenter.z );
704 for ( int f = 0; f < NbFaces(); ++f )
706 bool externalFace = me->IsFaceExternal( f ); // it calls setFace()
707 for ( int n = 2; n < myFaceNbNodes; ++n )
709 double Vn = getTetraVolume( myFaceNodes[ 0 ],
713 /// cout <<"++++ " << Vn << " nodes " <<myFaceNodes[ 0 ]->GetID() << " " <<myFaceNodes[ n-1 ]->GetID() << " " <<myFaceNodes[ n ]->GetID() << " < " << V << endl;
714 V += externalFace ? -Vn : Vn;
720 const static int ind[] = {
721 0, 1, 3, 6, 11, 19, 32, 46, 66};
722 const static int vtab[][4] = {
739 // quadratic tetrahedron
764 // quadratic pentahedron
781 // quadratic hexahedron
806 int type = GetVolumeType();
808 int n2 = ind[type+1];
810 for (int i = n1; i < n2; i++) {
811 V -= getTetraVolume( myVolumeNodes[ vtab[i][0] ],
812 myVolumeNodes[ vtab[i][1] ],
813 myVolumeNodes[ vtab[i][2] ],
814 myVolumeNodes[ vtab[i][3] ]);
820 //=======================================================================
821 //function : GetBaryCenter
823 //=======================================================================
825 bool SMDS_VolumeTool::GetBaryCenter(double & X, double & Y, double & Z) const
831 for ( int i = 0; i < myVolumeNbNodes; i++ ) {
832 X += myVolumeNodes[ i ]->X();
833 Y += myVolumeNodes[ i ]->Y();
834 Z += myVolumeNodes[ i ]->Z();
836 X /= myVolumeNbNodes;
837 Y /= myVolumeNbNodes;
838 Z /= myVolumeNbNodes;
843 //================================================================================
845 * \brief Classify a point
846 * \param tol - thickness of faces
848 //================================================================================
850 bool SMDS_VolumeTool::IsOut(double X, double Y, double Z, double tol)
852 // LIMITATION: for convex volumes only
854 for ( int iF = 0; iF < myNbFaces; ++iF )
857 if ( !GetFaceNormal( iF, faceNormal.x, faceNormal.y, faceNormal.z ))
859 if ( !IsFaceExternal( iF ))
860 faceNormal = XYZ() - faceNormal; // reverse
862 XYZ face2p( p - XYZ( myFaceNodes[0] ));
863 if ( face2p.Dot( faceNormal ) > tol )
869 //=======================================================================
870 //function : SetExternalNormal
871 //purpose : Node order will be so that faces normals are external
872 //=======================================================================
874 void SMDS_VolumeTool::SetExternalNormal ()
876 myExternalFaces = true;
880 //=======================================================================
881 //function : NbFaceNodes
882 //purpose : Return number of nodes in the array of face nodes
883 //=======================================================================
885 int SMDS_VolumeTool::NbFaceNodes( int faceIndex )
887 if ( !setFace( faceIndex ))
889 return myFaceNbNodes;
892 //=======================================================================
893 //function : GetFaceNodes
894 //purpose : Return pointer to the array of face nodes.
895 // To comfort link iteration, the array
896 // length == NbFaceNodes( faceIndex ) + 1 and
897 // the last node == the first one.
898 //=======================================================================
900 const SMDS_MeshNode** SMDS_VolumeTool::GetFaceNodes( int faceIndex )
902 if ( !setFace( faceIndex ))
907 //=======================================================================
908 //function : GetFaceNodesIndices
909 //purpose : Return pointer to the array of face nodes indices
910 // To comfort link iteration, the array
911 // length == NbFaceNodes( faceIndex ) + 1 and
912 // the last node index == the first one.
913 //=======================================================================
915 const int* SMDS_VolumeTool::GetFaceNodesIndices( int faceIndex )
917 if (myVolume->IsPoly()) {
918 MESSAGE("Warning: attempt to obtain FaceNodesIndices of polyhedral volume");
921 if ( !setFace( faceIndex ))
923 return myFaceNodeIndices;
926 //=======================================================================
927 //function : GetFaceNodes
928 //purpose : Return a set of face nodes.
929 //=======================================================================
931 bool SMDS_VolumeTool::GetFaceNodes (int faceIndex,
932 set<const SMDS_MeshNode*>& theFaceNodes )
934 if ( !setFace( faceIndex ))
937 theFaceNodes.clear();
938 int iNode, nbNode = myFaceNbNodes;
939 for ( iNode = 0; iNode < nbNode; iNode++ )
940 theFaceNodes.insert( myFaceNodes[ iNode ]);
945 //=======================================================================
946 //function : IsFaceExternal
947 //purpose : Check normal orientation of a returned face
948 //=======================================================================
950 bool SMDS_VolumeTool::IsFaceExternal( int faceIndex )
952 if ( myExternalFaces || !myVolume )
955 if (myVolume->IsPoly()) {
956 XYZ aNormal, baryCenter, p0 (myPolyedre->GetFaceNode(faceIndex + 1, 1));
957 GetFaceNormal(faceIndex, aNormal.x, aNormal.y, aNormal.z);
958 GetBaryCenter(baryCenter.x, baryCenter.y, baryCenter.z);
959 XYZ insideVec (baryCenter - p0);
960 if (insideVec.Dot(aNormal) > 0)
965 switch ( myVolumeNbNodes ) {
970 // only the bottom of a reversed tetrahedron can be internal
971 return ( myVolForward || faceIndex != 0 );
974 // in a forward pentahedron, the top is internal, in a reversed one - bottom
975 return ( myVolForward ? faceIndex != 1 : faceIndex != 0 );
978 // in a forward hexahedron, even face normal is external, odd - internal
979 bool odd = faceIndex % 2;
980 return ( myVolForward ? !odd : odd );
987 //=======================================================================
988 //function : GetFaceNormal
989 //purpose : Return a normal to a face
990 //=======================================================================
992 bool SMDS_VolumeTool::GetFaceNormal (int faceIndex, double & X, double & Y, double & Z)
994 if ( !setFace( faceIndex ))
997 XYZ p1 ( myFaceNodes[0] );
998 XYZ p2 ( myFaceNodes[1] );
999 XYZ p3 ( myFaceNodes[2] );
1000 XYZ aVec12( p2 - p1 );
1001 XYZ aVec13( p3 - p1 );
1002 XYZ cross = aVec12.Crossed( aVec13 );
1004 //if ( myFaceNbNodes == 4 ) {
1005 if ( myFaceNbNodes >3 ) {
1006 XYZ p4 ( myFaceNodes[3] );
1007 XYZ aVec14( p4 - p1 );
1008 XYZ cross2 = aVec13.Crossed( aVec14 );
1009 cross.x += cross2.x;
1010 cross.y += cross2.y;
1011 cross.z += cross2.z;
1014 double size = cross.Magnitude();
1015 if ( size <= DBL_MIN )
1025 //=======================================================================
1026 //function : GetFaceArea
1027 //purpose : Return face area
1028 //=======================================================================
1030 double SMDS_VolumeTool::GetFaceArea( int faceIndex )
1032 if (myVolume->IsPoly()) {
1033 MESSAGE("Warning: attempt to obtain area of a face of polyhedral volume");
1037 if ( !setFace( faceIndex ))
1040 XYZ p1 ( myFaceNodes[0] );
1041 XYZ p2 ( myFaceNodes[1] );
1042 XYZ p3 ( myFaceNodes[2] );
1043 XYZ aVec12( p2 - p1 );
1044 XYZ aVec13( p3 - p1 );
1045 double area = aVec12.Crossed( aVec13 ).Magnitude() * 0.5;
1047 if ( myFaceNbNodes == 4 ) {
1048 XYZ p4 ( myFaceNodes[3] );
1049 XYZ aVec14( p4 - p1 );
1050 area += aVec14.Crossed( aVec13 ).Magnitude() * 0.5;
1055 //=======================================================================
1056 //function : GetOppFaceIndex
1057 //purpose : Return index of the opposite face if it exists, else -1.
1058 //=======================================================================
1060 int SMDS_VolumeTool::GetOppFaceIndex( int faceIndex ) const
1063 if (myVolume->IsPoly()) {
1064 MESSAGE("Warning: attempt to obtain opposite face on polyhedral volume");
1068 if ( faceIndex >= 0 && faceIndex < NbFaces() ) {
1069 switch ( myVolumeNbNodes ) {
1071 if ( faceIndex == 0 || faceIndex == 1 )
1072 ind = 1 - faceIndex;
1075 ind = faceIndex + ( faceIndex % 2 ? -1 : 1 );
1083 //=======================================================================
1084 //function : IsLinked
1085 //purpose : return true if theNode1 is linked with theNode2
1086 //=======================================================================
1088 bool SMDS_VolumeTool::IsLinked (const SMDS_MeshNode* theNode1,
1089 const SMDS_MeshNode* theNode2) const
1094 if (myVolume->IsPoly()) {
1096 MESSAGE("Warning: bad volumic element");
1099 bool isLinked = false;
1101 for (iface = 1; iface <= myNbFaces && !isLinked; iface++) {
1102 int inode, nbFaceNodes = myPolyedre->NbFaceNodes(iface);
1104 for (inode = 1; inode <= nbFaceNodes && !isLinked; inode++) {
1105 const SMDS_MeshNode* curNode = myPolyedre->GetFaceNode(iface, inode);
1107 if (curNode == theNode1 || curNode == theNode2) {
1108 int inextnode = (inode == nbFaceNodes) ? 1 : inode + 1;
1109 const SMDS_MeshNode* nextNode = myPolyedre->GetFaceNode(iface, inextnode);
1111 if ((curNode == theNode1 && nextNode == theNode2) ||
1112 (curNode == theNode2 && nextNode == theNode1)) {
1121 // find nodes indices
1122 int i1 = -1, i2 = -1;
1123 for ( int i = 0; i < myVolumeNbNodes; i++ ) {
1124 if ( myVolumeNodes[ i ] == theNode1 )
1126 else if ( myVolumeNodes[ i ] == theNode2 )
1129 return IsLinked( i1, i2 );
1132 //=======================================================================
1133 //function : IsLinked
1134 //purpose : return true if the node with theNode1Index is linked
1135 // with the node with theNode2Index
1136 //=======================================================================
1138 bool SMDS_VolumeTool::IsLinked (const int theNode1Index,
1139 const int theNode2Index) const
1141 if ( myVolume->IsPoly() ) {
1142 return IsLinked(myVolumeNodes[theNode1Index], myVolumeNodes[theNode2Index]);
1145 int minInd = min( theNode1Index, theNode2Index );
1146 int maxInd = max( theNode1Index, theNode2Index );
1148 if ( minInd < 0 || maxInd > myVolumeNbNodes - 1 || maxInd == minInd )
1151 switch ( myVolumeNbNodes ) {
1157 switch ( maxInd - minInd ) {
1159 case 3: return true;
1164 switch ( maxInd - minInd ) {
1165 case 1: return minInd != 2;
1166 case 2: return minInd == 0 || minInd == 3;
1167 case 3: return true;
1172 switch ( maxInd - minInd ) {
1173 case 1: return minInd != 3;
1174 case 3: return minInd == 0 || minInd == 4;
1175 case 4: return true;
1182 case 0: if( maxInd==4 || maxInd==6 || maxInd==7 ) return true;
1183 case 1: if( maxInd==4 || maxInd==5 || maxInd==8 ) return true;
1184 case 2: if( maxInd==5 || maxInd==6 || maxInd==9 ) return true;
1185 case 3: if( maxInd==7 || maxInd==8 || maxInd==9 ) return true;
1193 case 0: if( maxInd==5 || maxInd==8 || maxInd==9 ) return true;
1194 case 1: if( maxInd==5 || maxInd==6 || maxInd==10 ) return true;
1195 case 2: if( maxInd==6 || maxInd==7 || maxInd==11 ) return true;
1196 case 3: if( maxInd==7 || maxInd==8 || maxInd==12 ) return true;
1197 case 4: if( maxInd==9 || maxInd==10 || maxInd==11 || maxInd==12 ) return true;
1205 case 0: if( maxInd==6 || maxInd==8 || maxInd==12 ) return true;
1206 case 1: if( maxInd==6 || maxInd==7 || maxInd==13 ) return true;
1207 case 2: if( maxInd==7 || maxInd==8 || maxInd==14 ) return true;
1208 case 3: if( maxInd==9 || maxInd==11 || maxInd==12 ) return true;
1209 case 4: if( maxInd==9 || maxInd==10 || maxInd==13 ) return true;
1210 case 5: if( maxInd==10 || maxInd==11 || maxInd==14 ) return true;
1218 case 0: if( maxInd==8 || maxInd==11 || maxInd==16 ) return true;
1219 case 1: if( maxInd==8 || maxInd==9 || maxInd==17 ) return true;
1220 case 2: if( maxInd==9 || maxInd==10 || maxInd==18 ) return true;
1221 case 3: if( maxInd==10 || maxInd==11 || maxInd==19 ) return true;
1222 case 4: if( maxInd==12 || maxInd==15 || maxInd==16 ) return true;
1223 case 5: if( maxInd==12 || maxInd==13 || maxInd==17 ) return true;
1224 case 6: if( maxInd==13 || maxInd==14 || maxInd==18 ) return true;
1225 case 7: if( maxInd==14 || maxInd==15 || maxInd==19 ) return true;
1235 //=======================================================================
1236 //function : GetNodeIndex
1237 //purpose : Return an index of theNode
1238 //=======================================================================
1240 int SMDS_VolumeTool::GetNodeIndex(const SMDS_MeshNode* theNode) const
1243 for ( int i = 0; i < myVolumeNbNodes; i++ ) {
1244 if ( myVolumeNodes[ i ] == theNode )
1251 //================================================================================
1253 * \brief Fill vector with boundary faces existing in the mesh
1254 * \param faces - vector of found nodes
1255 * \retval int - nb of found faces
1257 //================================================================================
1259 int SMDS_VolumeTool::GetAllExistingFaces(vector<const SMDS_MeshElement*> & faces)
1262 faces.reserve( NbFaces() );
1263 for ( int iF = 0; iF < NbFaces(); ++iF ) {
1264 const SMDS_MeshFace* face = 0;
1265 const SMDS_MeshNode** nodes = GetFaceNodes( iF );
1266 switch ( NbFaceNodes( iF )) {
1268 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2] ); break;
1270 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2], nodes[3] ); break;
1272 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2],
1273 nodes[3], nodes[4], nodes[5]); break;
1275 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2], nodes[3],
1276 nodes[4], nodes[5], nodes[6], nodes[7]); break;
1279 faces.push_back( face );
1281 return faces.size();
1285 //================================================================================
1287 * \brief Fill vector with boundary edges existing in the mesh
1288 * \param edges - vector of found edges
1289 * \retval int - nb of found faces
1291 //================================================================================
1293 int SMDS_VolumeTool::GetAllExistingEdges(vector<const SMDS_MeshElement*> & edges) const
1296 edges.reserve( myVolumeNbNodes * 2 );
1297 for ( int i = 0; i < myVolumeNbNodes; ++i ) {
1298 for ( int j = i + 1; j < myVolumeNbNodes; ++j ) {
1299 if ( IsLinked( i, j )) {
1300 const SMDS_MeshElement* edge =
1301 SMDS_Mesh::FindEdge( myVolumeNodes[i], myVolumeNodes[j] );
1303 edges.push_back( edge );
1307 return edges.size();
1310 //=======================================================================
1311 //function : IsFreeFace
1312 //purpose : check that only one volume is build on the face nodes
1313 //=======================================================================
1315 bool SMDS_VolumeTool::IsFreeFace( int faceIndex )
1317 const int free = true;
1319 if (!setFace( faceIndex ))
1322 const SMDS_MeshNode** nodes = GetFaceNodes( faceIndex );
1323 int nbFaceNodes = myFaceNbNodes;
1325 // evaluate nb of face nodes shared by other volume
1326 int maxNbShared = -1;
1327 typedef map< const SMDS_MeshElement*, int > TElemIntMap;
1328 TElemIntMap volNbShared;
1329 TElemIntMap::iterator vNbIt;
1330 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ ) {
1331 const SMDS_MeshNode* n = nodes[ iNode ];
1332 SMDS_ElemIteratorPtr eIt = n->GetInverseElementIterator();
1333 while ( eIt->more() ) {
1334 const SMDS_MeshElement* elem = eIt->next();
1335 if ( elem != myVolume && elem->GetType() == SMDSAbs_Volume ) {
1337 vNbIt = volNbShared.find( elem );
1338 if ( vNbIt == volNbShared.end() ) {
1339 volNbShared.insert ( TElemIntMap::value_type( elem, nbShared ));
1342 nbShared = ++(*vNbIt).second;
1344 if ( nbShared > maxNbShared )
1345 maxNbShared = nbShared;
1349 if ( maxNbShared < 3 )
1350 return free; // is free
1352 // find volumes laying on the opposite side of the face
1353 // and sharing all nodes
1354 XYZ intNormal; // internal normal
1355 GetFaceNormal( faceIndex, intNormal.x, intNormal.y, intNormal.z );
1356 if ( IsFaceExternal( faceIndex ))
1357 intNormal = XYZ( -intNormal.x, -intNormal.y, -intNormal.z );
1358 XYZ p0 ( nodes[0] ), baryCenter;
1359 for ( vNbIt = volNbShared.begin(); vNbIt != volNbShared.end(); vNbIt++ ) {
1360 int nbShared = (*vNbIt).second;
1361 if ( nbShared >= 3 ) {
1362 SMDS_VolumeTool volume( (*vNbIt).first );
1363 volume.GetBaryCenter( baryCenter.x, baryCenter.y, baryCenter.z );
1364 XYZ intNormal2( baryCenter - p0 );
1365 if ( intNormal.Dot( intNormal2 ) < 0 )
1366 continue; // opposite side
1368 // remove a volume from volNbShared map
1369 volNbShared.erase( vNbIt-- );
1372 // here volNbShared contains only volumes laying on the
1373 // opposite side of the face
1374 if ( volNbShared.empty() ) {
1375 return free; // is free
1378 // check if the whole area of a face is shared
1379 bool isShared[] = { false, false, false, false }; // 4 triangle parts of a quadrangle
1380 for ( vNbIt = volNbShared.begin(); vNbIt != volNbShared.end(); vNbIt++ ) {
1381 SMDS_VolumeTool volume( (*vNbIt).first );
1382 bool prevLinkShared = false;
1383 int nbSharedLinks = 0;
1384 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ ) {
1385 bool linkShared = volume.IsLinked( nodes[ iNode ], nodes[ iNode + 1] );
1388 if ( linkShared && prevLinkShared &&
1389 volume.IsLinked( nodes[ iNode - 1 ], nodes[ iNode + 1] ))
1390 isShared[ iNode ] = true;
1391 prevLinkShared = linkShared;
1393 if ( nbSharedLinks == nbFaceNodes )
1394 return !free; // is not free
1395 if ( nbFaceNodes == 4 ) {
1396 // check traingle parts 1 & 3
1397 if ( isShared[1] && isShared[3] )
1398 return !free; // is not free
1399 // check triangle parts 0 & 2;
1400 // 0 part could not be checked in the loop; check it here
1401 if ( isShared[2] && prevLinkShared &&
1402 volume.IsLinked( nodes[ 0 ], nodes[ 1 ] ) &&
1403 volume.IsLinked( nodes[ 1 ], nodes[ 3 ] ) )
1404 return !free; // is not free
1410 //=======================================================================
1411 //function : GetFaceIndex
1412 //purpose : Return index of a face formed by theFaceNodes
1413 //=======================================================================
1415 int SMDS_VolumeTool::GetFaceIndex( const set<const SMDS_MeshNode*>& theFaceNodes )
1417 for ( int iFace = 0; iFace < myNbFaces; iFace++ ) {
1418 const SMDS_MeshNode** nodes = GetFaceNodes( iFace );
1419 int nbFaceNodes = NbFaceNodes( iFace );
1420 set<const SMDS_MeshNode*> nodeSet;
1421 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ )
1422 nodeSet.insert( nodes[ iNode ] );
1423 if ( theFaceNodes == nodeSet )
1429 //=======================================================================
1430 //function : GetFaceIndex
1431 //purpose : Return index of a face formed by theFaceNodes
1432 //=======================================================================
1434 /*int SMDS_VolumeTool::GetFaceIndex( const set<int>& theFaceNodesIndices )
1436 for ( int iFace = 0; iFace < myNbFaces; iFace++ ) {
1437 const int* nodes = GetFaceNodesIndices( iFace );
1438 int nbFaceNodes = NbFaceNodes( iFace );
1440 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ )
1441 nodeSet.insert( nodes[ iNode ] );
1442 if ( theFaceNodesIndices == nodeSet )
1448 //=======================================================================
1449 //function : setFace
1451 //=======================================================================
1453 bool SMDS_VolumeTool::setFace( int faceIndex )
1458 if ( myCurFace == faceIndex )
1463 if ( faceIndex < 0 || faceIndex >= NbFaces() )
1466 if (myFaceNodes != NULL) {
1467 delete [] myFaceNodes;
1471 if (myVolume->IsPoly()) {
1473 MESSAGE("Warning: bad volumic element");
1477 // check orientation
1478 bool isGoodOri = true;
1479 if (myExternalFaces)
1480 isGoodOri = IsFaceExternal( faceIndex );
1484 myFaceNbNodes = myPolyedre->NbFaceNodes(faceIndex + 1);
1485 myFaceNodes = new const SMDS_MeshNode* [myFaceNbNodes + 1];
1487 for ( iNode = 0; iNode < myFaceNbNodes; iNode++ )
1488 myFaceNodes[ iNode ] = myPolyedre->GetFaceNode(faceIndex + 1, iNode + 1);
1490 for ( iNode = 0; iNode < myFaceNbNodes; iNode++ )
1491 myFaceNodes[ iNode ] = myPolyedre->GetFaceNode(faceIndex + 1, myFaceNbNodes - iNode);
1493 myFaceNodes[ myFaceNbNodes ] = myFaceNodes[ 0 ]; // last = first
1497 // choose face node indices
1498 switch ( myVolumeNbNodes ) {
1500 myFaceNbNodes = Tetra_nbN[ faceIndex ];
1501 if ( myExternalFaces )
1502 myFaceNodeIndices = myVolForward ? Tetra_F[ faceIndex ] : Tetra_RE[ faceIndex ];
1504 myFaceNodeIndices = myVolForward ? Tetra_F[ faceIndex ] : Tetra_R[ faceIndex ];
1507 myFaceNbNodes = Pyramid_nbN[ faceIndex ];
1508 if ( myExternalFaces )
1509 myFaceNodeIndices = myVolForward ? Pyramid_F[ faceIndex ] : Pyramid_RE[ faceIndex ];
1511 myFaceNodeIndices = myVolForward ? Pyramid_F[ faceIndex ] : Pyramid_R[ faceIndex ];
1514 myFaceNbNodes = Penta_nbN[ faceIndex ];
1515 if ( myExternalFaces )
1516 myFaceNodeIndices = myVolForward ? Penta_FE[ faceIndex ] : Penta_RE[ faceIndex ];
1518 myFaceNodeIndices = myVolForward ? Penta_F[ faceIndex ] : Penta_R[ faceIndex ];
1521 myFaceNbNodes = Hexa_nbN[ faceIndex ];
1522 if ( myExternalFaces )
1523 myFaceNodeIndices = myVolForward ? Hexa_FE[ faceIndex ] : Hexa_RE[ faceIndex ];
1525 myFaceNodeIndices = Hexa_F[ faceIndex ];
1528 myFaceNbNodes = QuadTetra_nbN[ faceIndex ];
1529 if ( myExternalFaces )
1530 myFaceNodeIndices = myVolForward ? QuadTetra_F[ faceIndex ] : QuadTetra_RE[ faceIndex ];
1532 myFaceNodeIndices = myVolForward ? QuadTetra_F[ faceIndex ] : QuadTetra_R[ faceIndex ];
1535 myFaceNbNodes = QuadPyram_nbN[ faceIndex ];
1536 if ( myExternalFaces )
1537 myFaceNodeIndices = myVolForward ? QuadPyram_F[ faceIndex ] : QuadPyram_RE[ faceIndex ];
1539 myFaceNodeIndices = myVolForward ? QuadPyram_F[ faceIndex ] : QuadPyram_R[ faceIndex ];
1542 myFaceNbNodes = QuadPenta_nbN[ faceIndex ];
1543 if ( myExternalFaces )
1544 myFaceNodeIndices = myVolForward ? QuadPenta_FE[ faceIndex ] : QuadPenta_RE[ faceIndex ];
1546 myFaceNodeIndices = myVolForward ? QuadPenta_F[ faceIndex ] : QuadPenta_R[ faceIndex ];
1549 myFaceNbNodes = QuadHexa_nbN[ faceIndex ];
1550 if ( myExternalFaces )
1551 myFaceNodeIndices = myVolForward ? QuadHexa_FE[ faceIndex ] : QuadHexa_RE[ faceIndex ];
1553 myFaceNodeIndices = QuadHexa_F[ faceIndex ];
1560 myFaceNodes = new const SMDS_MeshNode* [myFaceNbNodes + 1];
1561 for ( int iNode = 0; iNode < myFaceNbNodes; iNode++ )
1562 myFaceNodes[ iNode ] = myVolumeNodes[ myFaceNodeIndices[ iNode ]];
1563 myFaceNodes[ myFaceNbNodes ] = myFaceNodes[ 0 ];
1566 myCurFace = faceIndex;
1571 //=======================================================================
1572 //function : GetType
1573 //purpose : return VolumeType by nb of nodes in a volume
1574 //=======================================================================
1576 SMDS_VolumeTool::VolumeType SMDS_VolumeTool::GetType(int nbNodes)
1578 switch ( nbNodes ) {
1579 case 4: return TETRA;
1580 case 5: return PYRAM;
1581 case 6: return PENTA;
1582 case 8: return HEXA;
1583 case 10: return QUAD_TETRA;
1584 case 13: return QUAD_PYRAM;
1585 case 15: return QUAD_PENTA;
1586 case 20: return QUAD_HEXA;
1587 default:return UNKNOWN;
1591 //=======================================================================
1592 //function : NbFaces
1593 //purpose : return nb of faces by volume type
1594 //=======================================================================
1596 int SMDS_VolumeTool::NbFaces( VolumeType type )
1600 case QUAD_TETRA: return 4;
1602 case QUAD_PYRAM: return 5;
1604 case QUAD_PENTA: return 5;
1606 case QUAD_HEXA : return 6;
1611 //================================================================================
1613 * \brief Useful to know nb of corner nodes of a quadratic volume
1614 * \param type - volume type
1615 * \retval int - nb of corner nodes
1617 //================================================================================
1619 int SMDS_VolumeTool::NbCornerNodes(VolumeType type)
1623 case QUAD_TETRA: return 4;
1625 case QUAD_PYRAM: return 5;
1627 case QUAD_PENTA: return 6;
1629 case QUAD_HEXA : return 8;
1636 //=======================================================================
1637 //function : GetFaceNodesIndices
1638 //purpose : Return the array of face nodes indices
1639 // To comfort link iteration, the array
1640 // length == NbFaceNodes( faceIndex ) + 1 and
1641 // the last node index == the first one.
1642 //=======================================================================
1644 const int* SMDS_VolumeTool::GetFaceNodesIndices(VolumeType type,
1649 case TETRA: return Tetra_F[ faceIndex ];
1650 case PYRAM: return Pyramid_F[ faceIndex ];
1651 case PENTA: return external ? Penta_FE[ faceIndex ] : Penta_F[ faceIndex ];
1652 case HEXA: return external ? Hexa_FE[ faceIndex ] : Hexa_F[ faceIndex ];
1653 case QUAD_TETRA: return QuadTetra_F[ faceIndex ];
1654 case QUAD_PYRAM: return QuadPyram_F[ faceIndex ];
1655 case QUAD_PENTA: return external ? QuadPenta_FE[ faceIndex ] : QuadPenta_F[ faceIndex ];
1656 case QUAD_HEXA: return external ? QuadHexa_FE[ faceIndex ] : QuadHexa_F[ faceIndex ];
1662 //=======================================================================
1663 //function : NbFaceNodes
1664 //purpose : Return number of nodes in the array of face nodes
1665 //=======================================================================
1667 int SMDS_VolumeTool::NbFaceNodes(VolumeType type,
1671 case TETRA: return Tetra_nbN[ faceIndex ];
1672 case PYRAM: return Pyramid_nbN[ faceIndex ];
1673 case PENTA: return Penta_nbN[ faceIndex ];
1674 case HEXA: return Hexa_nbN[ faceIndex ];
1675 case QUAD_TETRA: return QuadTetra_nbN[ faceIndex ];
1676 case QUAD_PYRAM: return QuadPyram_nbN[ faceIndex ];
1677 case QUAD_PENTA: return QuadPenta_nbN[ faceIndex ];
1678 case QUAD_HEXA: return QuadHexa_nbN[ faceIndex ];
1684 //=======================================================================
1686 //purpose : return element
1687 //=======================================================================
1689 const SMDS_MeshVolume* SMDS_VolumeTool::Get() const
1691 return static_cast<const SMDS_MeshVolume*>( myVolume );
1694 //=======================================================================
1696 //purpose : return element ID
1697 //=======================================================================
1699 int SMDS_VolumeTool::ID() const
1701 return myVolume ? myVolume->GetID() : 0;