1 // Copyright (C) 2007-2010 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
23 // File : SMDS_VolumeTool.cxx
24 // Created : Tue Jul 13 12:22:13 2004
25 // Author : Edward AGAPOV (eap)
28 #pragma warning(disable:4786)
31 #include "SMDS_VolumeTool.hxx"
33 #include "SMDS_MeshElement.hxx"
34 #include "SMDS_MeshNode.hxx"
35 #include "SMDS_PolyhedralVolumeOfNodes.hxx"
36 #include "SMDS_Mesh.hxx"
38 #include "utilities.h"
46 // ======================================================
47 // Node indices in faces depending on volume orientation
48 // making most faces normals external
49 // ======================================================
57 // N0 +---|---+ N1 TETRAHEDRON
65 static int Tetra_F [4][4] = { // FORWARD == EXTERNAL
66 { 0, 1, 2, 0 }, // All faces have external normals
70 static int Tetra_R [4][4] = { // REVERSED
71 { 0, 1, 2, 0 }, // All faces but a bottom have external normals
75 static int Tetra_RE [4][4] = { // REVERSED -> FORWARD (EXTERNAL)
76 { 0, 2, 1, 0 }, // All faces have external normals
80 static int Tetra_nbN [] = { 3, 3, 3, 3 };
85 static int Pyramid_F [5][5] = { // FORWARD == EXTERNAL
86 { 0, 1, 2, 3, 0 }, // All faces have external normals
91 static int Pyramid_R [5][5] = { // REVERSED
92 { 0, 1, 2, 3, 0 }, // All faces but a bottom have external normals
97 static int Pyramid_RE [5][5] = { // REVERSED -> FORWARD (EXTERNAL)
98 { 0, 3, 2, 1, 0 }, // All faces but a bottom have external normals
103 static int Pyramid_nbN [] = { 4, 3, 3, 3, 3 };
114 // | / \ | PENTAHEDRON
120 static int Penta_F [5][5] = { // FORWARD
121 { 0, 1, 2, 0, 0 }, // Top face has an internal normal, other - external
122 { 3, 4, 5, 3, 3 }, // 0 is bottom, 1 is top face
126 static int Penta_R [5][5] = { // REVERSED
127 { 0, 1, 2, 0, 0 }, // Bottom face has an internal normal, other - external
128 { 3, 4, 5, 3, 3 }, // 0 is bottom, 1 is top face
132 static int Penta_FE [5][5] = { // FORWARD -> EXTERNAL
138 static int Penta_RE [5][5] = { // REVERSED -> EXTERNAL
144 static int Penta_nbN [] = { 3, 3, 4, 4, 4 };
151 // N4+----------+N7 |
152 // | | | | HEXAHEDRON
155 // | N1+------|---+N2
161 static int Hexa_F [6][5] = { // FORWARD
162 { 0, 1, 2, 3, 0 }, // opposite faces are neighbouring,
163 { 4, 5, 6, 7, 4 }, // odd face(1,3,5) normal is internal, even(0,2,4) - external
164 { 1, 0, 4, 5, 1 }, // same index nodes of opposite faces are linked
168 // static int Hexa_R [6][5] = { // REVERSED
169 // { 0, 3, 2, 1, 0 }, // opposite faces are neighbouring,
170 // { 4, 7, 6, 5, 4 }, // odd face(1,3,5) normal is external, even(0,2,4) - internal
171 // { 1, 5, 4, 0, 1 }, // same index nodes of opposite faces are linked
172 // { 2, 6, 7, 3, 2 },
173 // { 0, 4, 7, 3, 0 },
174 // { 1, 5, 6, 2, 1 }};
175 static int Hexa_FE [6][5] = { // FORWARD -> EXTERNAL
176 { 0, 1, 2, 3, 0 } , // opposite faces are neighbouring,
177 { 4, 7, 6, 5, 4 }, // all face normals are external,
178 { 0, 4, 5, 1, 0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
182 static int Hexa_RE [6][5] = { // REVERSED -> EXTERNAL
183 { 0, 3, 2, 1, 0 }, // opposite faces are neighbouring,
184 { 4, 5, 6, 7, 4 }, // all face normals are external,
185 { 0, 1, 5, 4, 0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
189 static int Hexa_nbN [] = { 4, 4, 4, 4, 4, 4 };
198 // N0 +---|---+ N1 TETRAHEDRON
206 static int QuadTetra_F [4][7] = { // FORWARD == EXTERNAL
207 { 0, 4, 1, 5, 2, 6, 0 }, // All faces have external normals
208 { 0, 7, 3, 8, 1, 4, 0 },
209 { 1, 8, 3, 9, 2, 5, 1 },
210 { 0, 6, 2, 9, 3, 7, 0 }};
211 static int QuadTetra_R [4][7] = { // REVERSED
212 { 0, 4, 1, 5, 2, 6, 0 }, // All faces but a bottom have external normals
213 { 0, 4, 1, 8, 3, 7, 0 },
214 { 1, 5, 2, 9, 3, 8, 1 },
215 { 0, 7, 3, 9, 2, 6, 0 }};
216 static int QuadTetra_RE [4][7] = { // REVERSED -> FORWARD (EXTERNAL)
217 { 0, 6, 2, 5, 1, 4, 0 }, // All faces have external normals
218 { 0, 4, 1, 8, 3, 7, 0 },
219 { 1, 5, 2, 9, 3, 8, 1 },
220 { 0, 7, 3, 9, 2, 6, 0 }};
221 static int QuadTetra_nbN [] = { 6, 6, 6, 6 };
231 // | | 9 - middle point for (0,4) etc.
244 static int QuadPyram_F [5][9] = { // FORWARD == EXTERNAL
245 { 0, 5, 1, 6, 2, 7, 3, 8, 0 }, // All faces have external normals
246 { 0, 9, 4, 10,1, 5, 0, 4, 4 },
247 { 1, 10,4, 11,2, 6, 1, 4, 4 },
248 { 2, 11,4, 12,3, 7, 2, 4, 4 },
249 { 3, 12,4, 9, 0, 8, 3, 4, 4 }};
250 static int QuadPyram_R [5][9] = { // REVERSED
251 { 0, 5, 1, 6, 2, 7, 3, 8, 0 }, // All faces but a bottom have external normals
252 { 0, 5, 1, 10,4, 9, 0, 4, 4 },
253 { 1, 6, 2, 11,4, 10,1, 4, 4 },
254 { 2, 7, 3, 12,4, 11,2, 4, 4 },
255 { 3, 8, 0, 9, 4, 12,3, 4, 4 }};
256 static int QuadPyram_RE [5][9] = { // REVERSED -> FORWARD (EXTERNAL)
257 { 0, 8, 3, 7, 2, 6, 1, 5, 0 }, // All faces but a bottom have external normals
258 { 0, 5, 1, 10,4, 9, 0, 4, 4 },
259 { 1, 6, 2, 11,4, 10,1, 4, 4 },
260 { 2, 7, 3, 12,4, 11,2, 4, 4 },
261 { 3, 8, 0, 9, 4, 12,3, 4, 4 }};
262 static int QuadPyram_nbN [] = { 8, 6, 6, 6, 6 };
289 static int QuadPenta_F [5][9] = { // FORWARD
290 { 0, 6, 1, 7, 2, 8, 0, 0, 0 }, // Top face has an internal normal, other - external
291 { 3, 9, 4, 10,5, 11,3, 3, 3 }, // 0 is bottom, 1 is top face
292 { 0, 8, 2, 14,5, 11,3, 12,0 },
293 { 1, 13,4, 10,5, 14,2, 7, 1 },
294 { 0, 12,3, 9, 4, 13,1, 6, 0 }};
295 static int QuadPenta_R [5][9] = { // REVERSED
296 { 0, 6, 1, 7, 2, 8, 0, 0, 0 }, // Bottom face has an internal normal, other - external
297 { 3, 9, 4, 10,5, 11,3, 3, 3 }, // 0 is bottom, 1 is top face
298 { 0, 12,3, 11,5, 14,2, 8, 0 },
299 { 1, 7, 2, 14,5, 10,4, 13,1 },
300 { 0, 6, 1, 13,4, 9, 3, 12,0 }};
301 static int QuadPenta_FE [5][9] = { // FORWARD -> EXTERNAL
302 { 0, 6, 1, 7, 2, 8, 0, 0, 0 },
303 { 3,11, 5, 10,4, 9, 3, 3, 3 },
304 { 0, 8, 2, 14,5, 11,3, 12,0 },
305 { 1, 13,4, 10,5, 14,2, 7, 1 },
306 { 0, 12,3, 9, 4, 13,1, 6, 0 }};
307 static int QuadPenta_RE [5][9] = { // REVERSED -> EXTERNAL
308 { 0, 8, 2, 7, 1, 6, 0, 0, 0 },
309 { 3, 9, 4, 10,5, 11,3, 3, 3 },
310 { 0, 12,3, 11,5, 14,2, 8, 0 },
311 { 1, 7, 2, 14,5, 10,4, 13,1 },
312 { 0, 6, 1, 13,4, 9, 3, 12,0 }};
313 static int QuadPenta_nbN [] = { 6, 6, 8, 8, 8 };
321 // N4+-----+-----+N7 | QUADRATIC
322 // | | 15 | | HEXAHEDRON
331 // | N1+-----+-|---+N2
338 static int QuadHexa_F [6][9] = { // FORWARD
339 { 0, 8, 1, 9, 2, 10,3, 11,0 }, // opposite faces are neighbouring,
340 { 4, 12,5, 13,6, 14,7, 15,4 }, // odd face(1,3,5) normal is internal, even(0,2,4) - external
341 { 1, 8, 0, 16,4, 12,5, 17,1 }, // same index nodes of opposite faces are linked
342 { 2, 10,3, 19,7, 14,6, 18,2 },
343 { 0, 11,3, 19,7, 15,4, 16,0 },
344 { 1, 9, 2, 18,6, 13,5, 17,1 }};
345 // static int Hexa_R [6][5] = { // REVERSED
346 // { 0, 3, 2, 1, 0 }, // opposite faces are neighbouring,
347 // { 4, 7, 6, 5, 4 }, // odd face(1,3,5) normal is external, even(0,2,4) - internal
348 // { 1, 5, 4, 0, 1 }, // same index nodes of opposite faces are linked
349 // { 2, 6, 7, 3, 2 },
350 // { 0, 4, 7, 3, 0 },
351 // { 1, 5, 6, 2, 1 }};
352 static int QuadHexa_FE [6][9] = { // FORWARD -> EXTERNAL
353 { 0, 8, 1, 9, 2, 10,3, 11,0 }, // opposite faces are neighbouring,
354 { 4, 15,7, 14,6, 13,5, 12,4 }, // all face normals are external,
355 { 0, 16,4, 12,5, 17,1, 8, 0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
356 { 3, 10,2, 18,6, 14,7, 19,3 },
357 { 0, 11,3, 19,7, 15,4, 16,0 },
358 { 1, 17,5, 13,6, 18,2, 9, 1 }};
359 static int QuadHexa_RE [6][9] = { // REVERSED -> EXTERNAL
360 { 0, 11,3, 10,2, 9, 1, 8, 0 }, // opposite faces are neighbouring,
361 { 4, 12,5, 13,6, 14,7, 15,4 }, // all face normals are external,
362 { 0, 8, 1, 17,5, 12,4, 16,0 }, // links in opposite faces: 0-0, 1-3, 2-2, 3-1
363 { 3, 19,7, 14,6, 18,2, 10,3 },
364 { 0, 16,4, 15,7, 19,3, 11,0 },
365 { 1, 9, 2, 18,6, 13,5, 17,1 }};
366 static int QuadHexa_nbN [] = { 8, 8, 8, 8, 8, 8 };
369 // ========================================================
370 // to perform some calculations without linkage to CASCADE
371 // ========================================================
378 XYZ() { x = 0; y = 0; z = 0; }
379 XYZ( double X, double Y, double Z ) { x = X; y = Y; z = Z; }
380 XYZ( const XYZ& other ) { x = other.x; y = other.y; z = other.z; }
381 XYZ( const SMDS_MeshNode* n ) { x = n->X(); y = n->Y(); z = n->Z(); }
382 inline XYZ operator-( const XYZ& other );
383 inline XYZ Crossed( const XYZ& other );
384 inline double Dot( const XYZ& other );
385 inline double Magnitude();
387 inline XYZ XYZ::operator-( const XYZ& Right ) {
388 return XYZ(x - Right.x, y - Right.y, z - Right.z);
390 inline XYZ XYZ::Crossed( const XYZ& Right ) {
391 return XYZ (y * Right.z - z * Right.y,
392 z * Right.x - x * Right.z,
393 x * Right.y - y * Right.x);
395 inline double XYZ::Dot( const XYZ& Other ) {
396 return(x * Other.x + y * Other.y + z * Other.z);
398 inline double XYZ::Magnitude() {
399 return sqrt (x * x + y * y + z * z);
403 //=======================================================================
404 //function : SMDS_VolumeTool
406 //=======================================================================
408 SMDS_VolumeTool::SMDS_VolumeTool ()
411 myVolForward( true ),
413 myVolumeNbNodes( 0 ),
414 myVolumeNodes( NULL ),
415 myExternalFaces( false ),
418 myFaceNodeIndices( NULL ),
423 //=======================================================================
424 //function : SMDS_VolumeTool
426 //=======================================================================
428 SMDS_VolumeTool::SMDS_VolumeTool (const SMDS_MeshElement* theVolume)
431 myVolForward( true ),
433 myVolumeNbNodes( 0 ),
434 myVolumeNodes( NULL ),
435 myExternalFaces( false ),
438 myFaceNodeIndices( NULL ),
444 //=======================================================================
445 //function : SMDS_VolumeTool
447 //=======================================================================
449 SMDS_VolumeTool::~SMDS_VolumeTool()
451 if ( myVolumeNodes != NULL ) delete [] myVolumeNodes;
452 if ( myFaceNodes != NULL ) delete [] myFaceNodes;
454 myFaceNodeIndices = NULL;
455 myVolumeNodes = myFaceNodes = NULL;
458 //=======================================================================
459 //function : SetVolume
460 //purpose : Set volume to iterate on
461 //=======================================================================
463 bool SMDS_VolumeTool::Set (const SMDS_MeshElement* theVolume)
471 if (myVolumeNodes != NULL) {
472 delete [] myVolumeNodes;
473 myVolumeNodes = NULL;
476 myExternalFaces = false;
480 myFaceNodeIndices = NULL;
481 if (myFaceNodes != NULL) {
482 delete [] myFaceNodes;
486 if ( theVolume && theVolume->GetType() == SMDSAbs_Volume )
488 myVolume = theVolume;
490 myNbFaces = theVolume->NbFaces();
491 myVolumeNbNodes = theVolume->NbNodes();
495 myVolumeNodes = new const SMDS_MeshNode* [myVolumeNbNodes];
496 SMDS_ElemIteratorPtr nodeIt = myVolume->nodesIterator();
497 while ( nodeIt->more() ) {
498 myVolumeNodes[ iNode++ ] = static_cast<const SMDS_MeshNode*>( nodeIt->next() );
501 if (myVolume->IsPoly()) {
502 myPolyedre = static_cast<const SMDS_PolyhedralVolumeOfNodes*>( myVolume );
504 MESSAGE("Warning: bad volumic element");
509 switch ( myVolumeNbNodes ) {
518 // define volume orientation
520 GetFaceNormal( 0, botNormal.x, botNormal.y, botNormal.z );
521 const SMDS_MeshNode* botNode = myVolumeNodes[ 0 ];
522 int topNodeIndex = myVolume->NbCornerNodes() - 1;
523 while ( !IsLinked( 0, topNodeIndex )) --topNodeIndex;
524 const SMDS_MeshNode* topNode = myVolumeNodes[ topNodeIndex ];
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 ( !setFace( faceIndex ))
920 if (myVolume->IsPoly())
922 myPolyIndices.resize( myFaceNbNodes + 1 );
923 myFaceNodeIndices = & myPolyIndices[0];
924 for ( int i = 0; i <= myFaceNbNodes; ++i )
925 myFaceNodeIndices[i] = myVolume->GetNodeIndex( myFaceNodes[i] );
927 return myFaceNodeIndices;
930 //=======================================================================
931 //function : GetFaceNodes
932 //purpose : Return a set of face nodes.
933 //=======================================================================
935 bool SMDS_VolumeTool::GetFaceNodes (int faceIndex,
936 set<const SMDS_MeshNode*>& theFaceNodes )
938 if ( !setFace( faceIndex ))
941 theFaceNodes.clear();
942 int iNode, nbNode = myFaceNbNodes;
943 for ( iNode = 0; iNode < nbNode; iNode++ )
944 theFaceNodes.insert( myFaceNodes[ iNode ]);
949 //=======================================================================
950 //function : IsFaceExternal
951 //purpose : Check normal orientation of a returned face
952 //=======================================================================
954 bool SMDS_VolumeTool::IsFaceExternal( int faceIndex )
956 if ( myExternalFaces || !myVolume )
959 if (myVolume->IsPoly()) {
960 XYZ aNormal, baryCenter, p0 (myPolyedre->GetFaceNode(faceIndex + 1, 1));
961 GetFaceNormal(faceIndex, aNormal.x, aNormal.y, aNormal.z);
962 GetBaryCenter(baryCenter.x, baryCenter.y, baryCenter.z);
963 XYZ insideVec (baryCenter - p0);
964 if (insideVec.Dot(aNormal) > 0)
969 switch ( myVolumeNbNodes ) {
974 // only the bottom of a reversed tetrahedron can be internal
975 return ( myVolForward || faceIndex != 0 );
978 // in a forward pentahedron, the top is internal, in a reversed one - bottom
979 return ( myVolForward ? faceIndex != 1 : faceIndex != 0 );
982 // in a forward hexahedron, even face normal is external, odd - internal
983 bool odd = faceIndex % 2;
984 return ( myVolForward ? !odd : odd );
991 //=======================================================================
992 //function : GetFaceNormal
993 //purpose : Return a normal to a face
994 //=======================================================================
996 bool SMDS_VolumeTool::GetFaceNormal (int faceIndex, double & X, double & Y, double & Z)
998 if ( !setFace( faceIndex ))
1001 XYZ p1 ( myFaceNodes[0] );
1002 XYZ p2 ( myFaceNodes[1] );
1003 XYZ p3 ( myFaceNodes[2] );
1004 XYZ aVec12( p2 - p1 );
1005 XYZ aVec13( p3 - p1 );
1006 XYZ cross = aVec12.Crossed( aVec13 );
1008 //if ( myFaceNbNodes == 4 ) {
1009 if ( myFaceNbNodes >3 ) {
1010 XYZ p4 ( myFaceNodes[3] );
1011 XYZ aVec14( p4 - p1 );
1012 XYZ cross2 = aVec13.Crossed( aVec14 );
1013 cross.x += cross2.x;
1014 cross.y += cross2.y;
1015 cross.z += cross2.z;
1018 double size = cross.Magnitude();
1019 if ( size <= DBL_MIN )
1029 //=======================================================================
1030 //function : GetFaceArea
1031 //purpose : Return face area
1032 //=======================================================================
1034 double SMDS_VolumeTool::GetFaceArea( int faceIndex )
1036 if (myVolume->IsPoly()) {
1037 MESSAGE("Warning: attempt to obtain area of a face of polyhedral volume");
1041 if ( !setFace( faceIndex ))
1044 XYZ p1 ( myFaceNodes[0] );
1045 XYZ p2 ( myFaceNodes[1] );
1046 XYZ p3 ( myFaceNodes[2] );
1047 XYZ aVec12( p2 - p1 );
1048 XYZ aVec13( p3 - p1 );
1049 double area = aVec12.Crossed( aVec13 ).Magnitude() * 0.5;
1051 if ( myFaceNbNodes == 4 ) {
1052 XYZ p4 ( myFaceNodes[3] );
1053 XYZ aVec14( p4 - p1 );
1054 area += aVec14.Crossed( aVec13 ).Magnitude() * 0.5;
1059 //=======================================================================
1060 //function : GetOppFaceIndex
1061 //purpose : Return index of the opposite face if it exists, else -1.
1062 //=======================================================================
1064 int SMDS_VolumeTool::GetOppFaceIndex( int faceIndex ) const
1067 if (myVolume->IsPoly()) {
1068 MESSAGE("Warning: attempt to obtain opposite face on polyhedral volume");
1072 if ( faceIndex >= 0 && faceIndex < NbFaces() ) {
1073 switch ( myVolumeNbNodes ) {
1075 if ( faceIndex == 0 || faceIndex == 1 )
1076 ind = 1 - faceIndex;
1079 ind = faceIndex + ( faceIndex % 2 ? -1 : 1 );
1087 //=======================================================================
1088 //function : IsLinked
1089 //purpose : return true if theNode1 is linked with theNode2
1090 //=======================================================================
1092 bool SMDS_VolumeTool::IsLinked (const SMDS_MeshNode* theNode1,
1093 const SMDS_MeshNode* theNode2) const
1098 if (myVolume->IsPoly()) {
1100 MESSAGE("Warning: bad volumic element");
1103 bool isLinked = false;
1105 for (iface = 1; iface <= myNbFaces && !isLinked; iface++) {
1106 int inode, nbFaceNodes = myPolyedre->NbFaceNodes(iface);
1108 for (inode = 1; inode <= nbFaceNodes && !isLinked; inode++) {
1109 const SMDS_MeshNode* curNode = myPolyedre->GetFaceNode(iface, inode);
1111 if (curNode == theNode1 || curNode == theNode2) {
1112 int inextnode = (inode == nbFaceNodes) ? 1 : inode + 1;
1113 const SMDS_MeshNode* nextNode = myPolyedre->GetFaceNode(iface, inextnode);
1115 if ((curNode == theNode1 && nextNode == theNode2) ||
1116 (curNode == theNode2 && nextNode == theNode1)) {
1125 // find nodes indices
1126 int i1 = -1, i2 = -1;
1127 for ( int i = 0; i < myVolumeNbNodes; i++ ) {
1128 if ( myVolumeNodes[ i ] == theNode1 )
1130 else if ( myVolumeNodes[ i ] == theNode2 )
1133 return IsLinked( i1, i2 );
1136 //=======================================================================
1137 //function : IsLinked
1138 //purpose : return true if the node with theNode1Index is linked
1139 // with the node with theNode2Index
1140 //=======================================================================
1142 bool SMDS_VolumeTool::IsLinked (const int theNode1Index,
1143 const int theNode2Index) const
1145 if ( myVolume->IsPoly() ) {
1146 return IsLinked(myVolumeNodes[theNode1Index], myVolumeNodes[theNode2Index]);
1149 int minInd = min( theNode1Index, theNode2Index );
1150 int maxInd = max( theNode1Index, theNode2Index );
1152 if ( minInd < 0 || maxInd > myVolumeNbNodes - 1 || maxInd == minInd )
1155 switch ( myVolumeNbNodes ) {
1161 switch ( maxInd - minInd ) {
1163 case 3: return true;
1168 switch ( maxInd - minInd ) {
1169 case 1: return minInd != 2;
1170 case 2: return minInd == 0 || minInd == 3;
1171 case 3: return true;
1176 switch ( maxInd - minInd ) {
1177 case 1: return minInd != 3;
1178 case 3: return minInd == 0 || minInd == 4;
1179 case 4: return true;
1186 case 0: if( maxInd==4 || maxInd==6 || maxInd==7 ) return true;
1187 case 1: if( maxInd==4 || maxInd==5 || maxInd==8 ) return true;
1188 case 2: if( maxInd==5 || maxInd==6 || maxInd==9 ) return true;
1189 case 3: if( maxInd==7 || maxInd==8 || maxInd==9 ) return true;
1197 case 0: if( maxInd==5 || maxInd==8 || maxInd==9 ) return true;
1198 case 1: if( maxInd==5 || maxInd==6 || maxInd==10 ) return true;
1199 case 2: if( maxInd==6 || maxInd==7 || maxInd==11 ) return true;
1200 case 3: if( maxInd==7 || maxInd==8 || maxInd==12 ) return true;
1201 case 4: if( maxInd==9 || maxInd==10 || maxInd==11 || maxInd==12 ) return true;
1209 case 0: if( maxInd==6 || maxInd==8 || maxInd==12 ) return true;
1210 case 1: if( maxInd==6 || maxInd==7 || maxInd==13 ) return true;
1211 case 2: if( maxInd==7 || maxInd==8 || maxInd==14 ) return true;
1212 case 3: if( maxInd==9 || maxInd==11 || maxInd==12 ) return true;
1213 case 4: if( maxInd==9 || maxInd==10 || maxInd==13 ) return true;
1214 case 5: if( maxInd==10 || maxInd==11 || maxInd==14 ) return true;
1222 case 0: if( maxInd==8 || maxInd==11 || maxInd==16 ) return true;
1223 case 1: if( maxInd==8 || maxInd==9 || maxInd==17 ) return true;
1224 case 2: if( maxInd==9 || maxInd==10 || maxInd==18 ) return true;
1225 case 3: if( maxInd==10 || maxInd==11 || maxInd==19 ) return true;
1226 case 4: if( maxInd==12 || maxInd==15 || maxInd==16 ) return true;
1227 case 5: if( maxInd==12 || maxInd==13 || maxInd==17 ) return true;
1228 case 6: if( maxInd==13 || maxInd==14 || maxInd==18 ) return true;
1229 case 7: if( maxInd==14 || maxInd==15 || maxInd==19 ) return true;
1239 //=======================================================================
1240 //function : GetNodeIndex
1241 //purpose : Return an index of theNode
1242 //=======================================================================
1244 int SMDS_VolumeTool::GetNodeIndex(const SMDS_MeshNode* theNode) const
1247 for ( int i = 0; i < myVolumeNbNodes; i++ ) {
1248 if ( myVolumeNodes[ i ] == theNode )
1255 //================================================================================
1257 * \brief Fill vector with boundary faces existing in the mesh
1258 * \param faces - vector of found nodes
1259 * \retval int - nb of found faces
1261 //================================================================================
1263 int SMDS_VolumeTool::GetAllExistingFaces(vector<const SMDS_MeshElement*> & faces)
1266 faces.reserve( NbFaces() );
1267 for ( int iF = 0; iF < NbFaces(); ++iF ) {
1268 const SMDS_MeshFace* face = 0;
1269 const SMDS_MeshNode** nodes = GetFaceNodes( iF );
1270 switch ( NbFaceNodes( iF )) {
1272 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2] ); break;
1274 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2], nodes[3] ); break;
1276 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2],
1277 nodes[3], nodes[4], nodes[5]); break;
1279 face = SMDS_Mesh::FindFace( nodes[0], nodes[1], nodes[2], nodes[3],
1280 nodes[4], nodes[5], nodes[6], nodes[7]); break;
1283 faces.push_back( face );
1285 return faces.size();
1289 //================================================================================
1291 * \brief Fill vector with boundary edges existing in the mesh
1292 * \param edges - vector of found edges
1293 * \retval int - nb of found faces
1295 //================================================================================
1297 int SMDS_VolumeTool::GetAllExistingEdges(vector<const SMDS_MeshElement*> & edges) const
1300 edges.reserve( myVolumeNbNodes * 2 );
1301 for ( int i = 0; i < myVolumeNbNodes; ++i ) {
1302 for ( int j = i + 1; j < myVolumeNbNodes; ++j ) {
1303 if ( IsLinked( i, j )) {
1304 const SMDS_MeshElement* edge =
1305 SMDS_Mesh::FindEdge( myVolumeNodes[i], myVolumeNodes[j] );
1307 edges.push_back( edge );
1311 return edges.size();
1314 //=======================================================================
1315 //function : IsFreeFace
1316 //purpose : check that only one volume is build on the face nodes
1317 //=======================================================================
1319 bool SMDS_VolumeTool::IsFreeFace( int faceIndex )
1321 const int free = true;
1323 if (!setFace( faceIndex ))
1326 const SMDS_MeshNode** nodes = GetFaceNodes( faceIndex );
1327 int nbFaceNodes = myFaceNbNodes;
1329 // evaluate nb of face nodes shared by other volume
1330 int maxNbShared = -1;
1331 typedef map< const SMDS_MeshElement*, int > TElemIntMap;
1332 TElemIntMap volNbShared;
1333 TElemIntMap::iterator vNbIt;
1334 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ ) {
1335 const SMDS_MeshNode* n = nodes[ iNode ];
1336 SMDS_ElemIteratorPtr eIt = n->GetInverseElementIterator();
1337 while ( eIt->more() ) {
1338 const SMDS_MeshElement* elem = eIt->next();
1339 if ( elem != myVolume && elem->GetType() == SMDSAbs_Volume ) {
1341 vNbIt = volNbShared.find( elem );
1342 if ( vNbIt == volNbShared.end() ) {
1343 volNbShared.insert ( TElemIntMap::value_type( elem, nbShared ));
1346 nbShared = ++(*vNbIt).second;
1348 if ( nbShared > maxNbShared )
1349 maxNbShared = nbShared;
1353 if ( maxNbShared < 3 )
1354 return free; // is free
1356 // find volumes laying on the opposite side of the face
1357 // and sharing all nodes
1358 XYZ intNormal; // internal normal
1359 GetFaceNormal( faceIndex, intNormal.x, intNormal.y, intNormal.z );
1360 if ( IsFaceExternal( faceIndex ))
1361 intNormal = XYZ( -intNormal.x, -intNormal.y, -intNormal.z );
1362 XYZ p0 ( nodes[0] ), baryCenter;
1363 for ( vNbIt = volNbShared.begin(); vNbIt != volNbShared.end(); vNbIt++ ) {
1364 int nbShared = (*vNbIt).second;
1365 if ( nbShared >= 3 ) {
1366 SMDS_VolumeTool volume( (*vNbIt).first );
1367 volume.GetBaryCenter( baryCenter.x, baryCenter.y, baryCenter.z );
1368 XYZ intNormal2( baryCenter - p0 );
1369 if ( intNormal.Dot( intNormal2 ) < 0 )
1370 continue; // opposite side
1372 // remove a volume from volNbShared map
1373 volNbShared.erase( vNbIt-- );
1376 // here volNbShared contains only volumes laying on the
1377 // opposite side of the face
1378 if ( volNbShared.empty() ) {
1379 return free; // is free
1382 // check if the whole area of a face is shared
1383 bool isShared[] = { false, false, false, false }; // 4 triangle parts of a quadrangle
1384 for ( vNbIt = volNbShared.begin(); vNbIt != volNbShared.end(); vNbIt++ ) {
1385 SMDS_VolumeTool volume( (*vNbIt).first );
1386 bool prevLinkShared = false;
1387 int nbSharedLinks = 0;
1388 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ ) {
1389 bool linkShared = volume.IsLinked( nodes[ iNode ], nodes[ iNode + 1] );
1392 if ( linkShared && prevLinkShared &&
1393 volume.IsLinked( nodes[ iNode - 1 ], nodes[ iNode + 1] ))
1394 isShared[ iNode ] = true;
1395 prevLinkShared = linkShared;
1397 if ( nbSharedLinks == nbFaceNodes )
1398 return !free; // is not free
1399 if ( nbFaceNodes == 4 ) {
1400 // check traingle parts 1 & 3
1401 if ( isShared[1] && isShared[3] )
1402 return !free; // is not free
1403 // check triangle parts 0 & 2;
1404 // 0 part could not be checked in the loop; check it here
1405 if ( isShared[2] && prevLinkShared &&
1406 volume.IsLinked( nodes[ 0 ], nodes[ 1 ] ) &&
1407 volume.IsLinked( nodes[ 1 ], nodes[ 3 ] ) )
1408 return !free; // is not free
1414 //=======================================================================
1415 //function : GetFaceIndex
1416 //purpose : Return index of a face formed by theFaceNodes
1417 //=======================================================================
1419 int SMDS_VolumeTool::GetFaceIndex( const set<const SMDS_MeshNode*>& theFaceNodes )
1421 for ( int iFace = 0; iFace < myNbFaces; iFace++ ) {
1422 const SMDS_MeshNode** nodes = GetFaceNodes( iFace );
1423 int nbFaceNodes = NbFaceNodes( iFace );
1424 set<const SMDS_MeshNode*> nodeSet;
1425 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ )
1426 nodeSet.insert( nodes[ iNode ] );
1427 if ( theFaceNodes == nodeSet )
1433 //=======================================================================
1434 //function : GetFaceIndex
1435 //purpose : Return index of a face formed by theFaceNodes
1436 //=======================================================================
1438 /*int SMDS_VolumeTool::GetFaceIndex( const set<int>& theFaceNodesIndices )
1440 for ( int iFace = 0; iFace < myNbFaces; iFace++ ) {
1441 const int* nodes = GetFaceNodesIndices( iFace );
1442 int nbFaceNodes = NbFaceNodes( iFace );
1444 for ( int iNode = 0; iNode < nbFaceNodes; iNode++ )
1445 nodeSet.insert( nodes[ iNode ] );
1446 if ( theFaceNodesIndices == nodeSet )
1452 //=======================================================================
1453 //function : setFace
1455 //=======================================================================
1457 bool SMDS_VolumeTool::setFace( int faceIndex )
1462 if ( myCurFace == faceIndex )
1467 if ( faceIndex < 0 || faceIndex >= NbFaces() )
1470 if (myFaceNodes != NULL) {
1471 delete [] myFaceNodes;
1475 if (myVolume->IsPoly()) {
1477 MESSAGE("Warning: bad volumic element");
1481 // check orientation
1482 bool isGoodOri = true;
1483 if (myExternalFaces)
1484 isGoodOri = IsFaceExternal( faceIndex );
1488 myFaceNbNodes = myPolyedre->NbFaceNodes(faceIndex + 1);
1489 myFaceNodes = new const SMDS_MeshNode* [myFaceNbNodes + 1];
1491 for ( iNode = 0; iNode < myFaceNbNodes; iNode++ )
1492 myFaceNodes[ iNode ] = myPolyedre->GetFaceNode(faceIndex + 1, iNode + 1);
1494 for ( iNode = 0; iNode < myFaceNbNodes; iNode++ )
1495 myFaceNodes[ iNode ] = myPolyedre->GetFaceNode(faceIndex + 1, myFaceNbNodes - iNode);
1497 myFaceNodes[ myFaceNbNodes ] = myFaceNodes[ 0 ]; // last = first
1501 // choose face node indices
1502 switch ( myVolumeNbNodes ) {
1504 myFaceNbNodes = Tetra_nbN[ faceIndex ];
1505 if ( myExternalFaces )
1506 myFaceNodeIndices = myVolForward ? Tetra_F[ faceIndex ] : Tetra_RE[ faceIndex ];
1508 myFaceNodeIndices = myVolForward ? Tetra_F[ faceIndex ] : Tetra_R[ faceIndex ];
1511 myFaceNbNodes = Pyramid_nbN[ faceIndex ];
1512 if ( myExternalFaces )
1513 myFaceNodeIndices = myVolForward ? Pyramid_F[ faceIndex ] : Pyramid_RE[ faceIndex ];
1515 myFaceNodeIndices = myVolForward ? Pyramid_F[ faceIndex ] : Pyramid_R[ faceIndex ];
1518 myFaceNbNodes = Penta_nbN[ faceIndex ];
1519 if ( myExternalFaces )
1520 myFaceNodeIndices = myVolForward ? Penta_FE[ faceIndex ] : Penta_RE[ faceIndex ];
1522 myFaceNodeIndices = myVolForward ? Penta_F[ faceIndex ] : Penta_R[ faceIndex ];
1525 myFaceNbNodes = Hexa_nbN[ faceIndex ];
1526 if ( myExternalFaces )
1527 myFaceNodeIndices = myVolForward ? Hexa_FE[ faceIndex ] : Hexa_RE[ faceIndex ];
1529 myFaceNodeIndices = Hexa_F[ faceIndex ];
1532 myFaceNbNodes = QuadTetra_nbN[ faceIndex ];
1533 if ( myExternalFaces )
1534 myFaceNodeIndices = myVolForward ? QuadTetra_F[ faceIndex ] : QuadTetra_RE[ faceIndex ];
1536 myFaceNodeIndices = myVolForward ? QuadTetra_F[ faceIndex ] : QuadTetra_R[ faceIndex ];
1539 myFaceNbNodes = QuadPyram_nbN[ faceIndex ];
1540 if ( myExternalFaces )
1541 myFaceNodeIndices = myVolForward ? QuadPyram_F[ faceIndex ] : QuadPyram_RE[ faceIndex ];
1543 myFaceNodeIndices = myVolForward ? QuadPyram_F[ faceIndex ] : QuadPyram_R[ faceIndex ];
1546 myFaceNbNodes = QuadPenta_nbN[ faceIndex ];
1547 if ( myExternalFaces )
1548 myFaceNodeIndices = myVolForward ? QuadPenta_FE[ faceIndex ] : QuadPenta_RE[ faceIndex ];
1550 myFaceNodeIndices = myVolForward ? QuadPenta_F[ faceIndex ] : QuadPenta_R[ faceIndex ];
1553 myFaceNbNodes = QuadHexa_nbN[ faceIndex ];
1554 if ( myExternalFaces )
1555 myFaceNodeIndices = myVolForward ? QuadHexa_FE[ faceIndex ] : QuadHexa_RE[ faceIndex ];
1557 myFaceNodeIndices = QuadHexa_F[ faceIndex ];
1564 myFaceNodes = new const SMDS_MeshNode* [myFaceNbNodes + 1];
1565 for ( int iNode = 0; iNode < myFaceNbNodes; iNode++ )
1566 myFaceNodes[ iNode ] = myVolumeNodes[ myFaceNodeIndices[ iNode ]];
1567 myFaceNodes[ myFaceNbNodes ] = myFaceNodes[ 0 ];
1570 myCurFace = faceIndex;
1575 //=======================================================================
1576 //function : GetType
1577 //purpose : return VolumeType by nb of nodes in a volume
1578 //=======================================================================
1580 SMDS_VolumeTool::VolumeType SMDS_VolumeTool::GetType(int nbNodes)
1582 switch ( nbNodes ) {
1583 case 4: return TETRA;
1584 case 5: return PYRAM;
1585 case 6: return PENTA;
1586 case 8: return HEXA;
1587 case 10: return QUAD_TETRA;
1588 case 13: return QUAD_PYRAM;
1589 case 15: return QUAD_PENTA;
1590 case 20: return QUAD_HEXA;
1591 default:return UNKNOWN;
1595 //=======================================================================
1596 //function : NbFaces
1597 //purpose : return nb of faces by volume type
1598 //=======================================================================
1600 int SMDS_VolumeTool::NbFaces( VolumeType type )
1604 case QUAD_TETRA: return 4;
1606 case QUAD_PYRAM: return 5;
1608 case QUAD_PENTA: return 5;
1610 case QUAD_HEXA : return 6;
1615 //================================================================================
1617 * \brief Useful to know nb of corner nodes of a quadratic volume
1618 * \param type - volume type
1619 * \retval int - nb of corner nodes
1621 //================================================================================
1623 int SMDS_VolumeTool::NbCornerNodes(VolumeType type)
1627 case QUAD_TETRA: return 4;
1629 case QUAD_PYRAM: return 5;
1631 case QUAD_PENTA: return 6;
1633 case QUAD_HEXA : return 8;
1640 //=======================================================================
1641 //function : GetFaceNodesIndices
1642 //purpose : Return the array of face nodes indices
1643 // To comfort link iteration, the array
1644 // length == NbFaceNodes( faceIndex ) + 1 and
1645 // the last node index == the first one.
1646 //=======================================================================
1648 const int* SMDS_VolumeTool::GetFaceNodesIndices(VolumeType type,
1653 case TETRA: return Tetra_F[ faceIndex ];
1654 case PYRAM: return Pyramid_F[ faceIndex ];
1655 case PENTA: return external ? Penta_FE[ faceIndex ] : Penta_F[ faceIndex ];
1656 case HEXA: return external ? Hexa_FE[ faceIndex ] : Hexa_F[ faceIndex ];
1657 case QUAD_TETRA: return QuadTetra_F[ faceIndex ];
1658 case QUAD_PYRAM: return QuadPyram_F[ faceIndex ];
1659 case QUAD_PENTA: return external ? QuadPenta_FE[ faceIndex ] : QuadPenta_F[ faceIndex ];
1660 case QUAD_HEXA: return external ? QuadHexa_FE[ faceIndex ] : QuadHexa_F[ faceIndex ];
1666 //=======================================================================
1667 //function : NbFaceNodes
1668 //purpose : Return number of nodes in the array of face nodes
1669 //=======================================================================
1671 int SMDS_VolumeTool::NbFaceNodes(VolumeType type,
1675 case TETRA: return Tetra_nbN[ faceIndex ];
1676 case PYRAM: return Pyramid_nbN[ faceIndex ];
1677 case PENTA: return Penta_nbN[ faceIndex ];
1678 case HEXA: return Hexa_nbN[ faceIndex ];
1679 case QUAD_TETRA: return QuadTetra_nbN[ faceIndex ];
1680 case QUAD_PYRAM: return QuadPyram_nbN[ faceIndex ];
1681 case QUAD_PENTA: return QuadPenta_nbN[ faceIndex ];
1682 case QUAD_HEXA: return QuadHexa_nbN[ faceIndex ];
1688 //=======================================================================
1690 //purpose : return element
1691 //=======================================================================
1693 const SMDS_MeshVolume* SMDS_VolumeTool::Element() const
1695 return static_cast<const SMDS_MeshVolume*>( myVolume );
1698 //=======================================================================
1700 //purpose : return element ID
1701 //=======================================================================
1703 int SMDS_VolumeTool::ID() const
1705 return myVolume ? myVolume->GetID() : 0;