1 // Copyright (C) 2003 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
2 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
4 // This library is free software; you can redistribute it and/or
5 // modify it under the terms of the GNU Lesser General Public
6 // License as published by the Free Software Foundation; either
7 // version 2.1 of the License.
9 // This library is distributed in the hope that it will be useful,
10 // but WITHOUT ANY WARRANTY; without even the implied warranty of
11 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12 // Lesser General Public License for more details.
14 // You should have received a copy of the GNU Lesser General Public
15 // License along with this library; if not, write to the Free Software
16 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
18 // See http://www.opencascade.org/SALOME/ or email : webmaster.salome@opencascade.org
20 // File : SMESH_Block.hxx
21 // Created : Tue Nov 30 12:42:18 2004
22 // Author : Edward AGAPOV (eap)
25 #ifndef SMESH_Block_HeaderFile
26 #define SMESH_Block_HeaderFile
28 #include <Geom2d_Curve.hxx>
29 #include <Geom_Curve.hxx>
30 #include <Geom_Surface.hxx>
32 #include <TopTools_IndexedMapOfOrientedShape.hxx>
33 #include <TopoDS_Edge.hxx>
34 #include <TopoDS_Shell.hxx>
35 #include <TopoDS_Vertex.hxx>
37 #include <gp_Trsf.hxx>
40 #include <math_FunctionSetWithDerivatives.hxx>
41 #include <math_Matrix.hxx>
42 #include <math_Vector.hxx>
47 class SMDS_MeshVolume;
50 // =========================================================
51 // class calculating coordinates of 3D points by normalized
52 // parameters inside the block and vice versa
53 // =========================================================
55 class SMESH_Block: public math_FunctionSetWithDerivatives
58 enum TShapeID { // ids of the block sub-shapes
61 ID_V000 = 1, ID_V100, ID_V010, ID_V110, ID_V001, ID_V101, ID_V011, ID_V111,
63 ID_Ex00, ID_Ex10, ID_Ex01, ID_Ex11,
64 ID_E0y0, ID_E1y0, ID_E0y1, ID_E1y1,
65 ID_E00z, ID_E10z, ID_E01z, ID_E11z,
67 ID_Fxy0, ID_Fxy1, ID_Fx0z, ID_Fx1z, ID_F0yz, ID_F1yz,
73 public: // methods about ids of the block sub-shapes
75 static int NbVertices() { return 8; }
76 static int NbEdges() { return 12; }
77 static int NbFaces() { return 6; }
78 static int NbSubShapes() { return ID_Shell; }
79 // to avoid magic numbers when allocating memory for subshapes
81 static inline bool IsVertexID( int theShapeID )
82 { return ( theShapeID >= ID_V000 && theShapeID <= ID_V111 ); }
84 static inline bool IsEdgeID( int theShapeID )
85 { return ( theShapeID >= ID_Ex00 && theShapeID <= ID_E11z ); }
87 static inline bool IsFaceID( int theShapeID )
88 { return ( theShapeID >= ID_Fxy0 && theShapeID <= ID_F1yz ); }
90 static int ShapeIndex( int theShapeID )
92 if ( IsVertexID( theShapeID )) return theShapeID - ID_V000;
93 if ( IsEdgeID( theShapeID )) return theShapeID - ID_Ex00;
94 if ( IsFaceID( theShapeID )) return theShapeID - ID_Fxy0;
97 // return index [0-...] for each type of sub-shapes,
99 // ShapeIndex( ID_Ex00 ) == 0
100 // ShapeIndex( ID_Ex10 ) == 1
102 static void GetFaceEdgesIDs (const int faceID, vector< int >& edgeVec );
103 // return edges IDs of a face in the order u0, u1, 0v, 1v
105 static void GetEdgeVertexIDs (const int edgeID, vector< int >& vertexVec );
106 // return vertex IDs of an edge
108 static int GetCoordIndOnEdge (const int theEdgeID)
109 { return (theEdgeID < ID_E0y0) ? 1 : (theEdgeID < ID_E00z) ? 2 : 3; }
110 // return an index of a coordinate which varies along the edge
112 static double* GetShapeCoef (const int theShapeID);
113 // for theShapeID( TShapeID ), returns 3 coefficients used
114 // to compute an addition of an on-theShape point to coordinates
115 // of an in-shell point. If an in-shell point has parameters (Px,Py,Pz),
116 // then the addition of a point P is computed as P*kx*ky*kz and ki is
117 // defined by the returned coef like this:
118 // ki = (coef[i] == 0) ? 1 : (coef[i] < 0) ? 1 - Pi : Pi
120 static int GetShapeIDByParams ( const gp_XYZ& theParams );
121 // define an id of the block sub-shape by point parameters
123 static ostream& DumpShapeID (const int theBlockShapeID, ostream& stream);
124 // DEBUG: dump an id of a block sub-shape
127 public: // initialization
129 SMESH_Block (): myNbIterations(0), mySumDist(0.) {}
131 bool LoadBlockShapes(const TopoDS_Shell& theShell,
132 const TopoDS_Vertex& theVertex000,
133 const TopoDS_Vertex& theVertex001,
134 TopTools_IndexedMapOfOrientedShape& theShapeIDMap );
135 // add sub-shapes of theBlock to theShapeIDMap so that they get
136 // IDs acoording to enum TShapeID
138 bool LoadMeshBlock(const SMDS_MeshVolume* theVolume,
139 const int theNode000Index,
140 const int theNode001Index,
141 vector<const SMDS_MeshNode*>& theOrderedNodes);
142 // prepare to work with theVolume and
143 // return nodes in the order of TShapeID enum
146 public: // define coordinates by parameters
148 bool VertexPoint( const int theVertexID, gp_XYZ& thePoint ) const {
149 if ( !IsVertexID( theVertexID )) return false;
150 thePoint = myPnt[ theVertexID - ID_V000 ]; return true;
152 // return vertex coordinates, parameters are defined by theVertexID
154 bool EdgePoint( const int theEdgeID, const gp_XYZ& theParams, gp_XYZ& thePoint ) const {
155 if ( !IsEdgeID( theEdgeID )) return false;
156 thePoint = myEdge[ theEdgeID - ID_Ex00 ].Point( theParams ); return true;
158 // return coordinates of a point on edge
160 bool FacePoint( const int theFaceID, const gp_XYZ& theParams, gp_XYZ& thePoint ) const {
161 if ( !IsFaceID ( theFaceID )) return false;
162 thePoint = myFace[ theFaceID - ID_Fxy0 ].Point( theParams ); return true;
164 // return coordinates of a point on face
166 bool ShellPoint( const gp_XYZ& theParams, gp_XYZ& thePoint ) const;
167 // return coordinates of a point in shell
169 static bool ShellPoint(const gp_XYZ& theParams,
170 const vector<gp_XYZ>& thePointOnShape,
172 // computes coordinates of a point in shell by points on sub-shapes;
173 // thePointOnShape[ subShapeID ] must be a point on a subShape;
174 // thePointOnShape.size() == ID_Shell, thePointOnShape[0] not used
177 public: // define parameters by coordinates
179 bool ComputeParameters (const gp_Pnt& thePoint,
181 const int theShapeID = ID_Shell);
182 // compute point parameters in the block.
183 // Note: for edges, it is better to use EdgeParameters()
185 bool VertexParameters(const int theVertexID, gp_XYZ& theParams);
186 // return parameters of a vertex given by TShapeID
188 bool EdgeParameters(const int theEdgeID, const double theU, gp_XYZ& theParams);
189 // return parameters of a point given by theU on edge
194 static bool IsForwardEdge (const TopoDS_Edge & theEdge,
195 TopTools_IndexedMapOfOrientedShape& theShapeIDMap) {
196 int v1ID = theShapeIDMap.FindIndex( TopExp::FirstVertex( theEdge ).Oriented( TopAbs_FORWARD ));
197 int v2ID = theShapeIDMap.FindIndex( TopExp::LastVertex( theEdge ).Oriented( TopAbs_FORWARD ));
198 return ( v1ID < v2ID );
200 // Return true if an in-block parameter increases along theEdge curve
202 static void Swap(double& a, double& b) { double tmp = a; a = b; b = tmp; }
206 // methods of math_FunctionSetWithDerivatives used internally
207 // to define parameters by coordinates
208 Standard_Integer NbVariables() const;
209 Standard_Integer NbEquations() const;
210 Standard_Boolean Value(const math_Vector& X,math_Vector& F) ;
211 Standard_Boolean Derivatives(const math_Vector& X,math_Matrix& D) ;
212 Standard_Boolean Values(const math_Vector& X,math_Vector& F,math_Matrix& D) ;
213 Standard_Integer GetStateNumber ();
221 Handle(Geom_Curve) myC3d;
223 double GetU( const gp_XYZ& theParams ) const;
224 gp_XYZ Point( const gp_XYZ& theParams ) const;
230 // 4 edges in the order u0, u1, 0v, 1v
232 double myFirst [ 4 ];
234 Handle(Geom2d_Curve) myC2d [ 4 ];
235 // 4 corner points in the order 00, 10, 11, 01
236 gp_XY myCorner [ 4 ];
238 Handle(Geom_Surface) myS;
240 gp_XY GetUV( const gp_XYZ& theParams ) const;
241 gp_XYZ Point( const gp_XYZ& theParams ) const;
242 int GetUInd() const { return myCoordInd[ 0 ]; }
243 int GetVInd() const { return myCoordInd[ 2 ]; }
244 void GetCoefs( int i, const gp_XYZ& theParams, double& eCoef, double& vCoef ) const;
249 TopoDS_Shell myShell;
250 // geometry in the order as in TShapeID:
258 // for param computation
265 gp_XYZ myPoint; // the given point
266 gp_XYZ myParam; // the best parameters guess
267 double myValues[ 4 ]; // values computed at myParam
269 typedef pair<gp_XYZ,gp_XYZ> TxyzPair;
270 TxyzPair my3x3x3GridNodes[ 27 ];