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smesh/src/SMESHUtils/SMESH_Block.hxx

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// Copyright (C) 2007-2016 CEA/DEN, EDF R&D, OPEN CASCADE
//
// Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
// CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
//
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
//
// See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
//
// File : SMESH_Block.hxx
// Created : Tue Nov 30 12:42:18 2004
// Author : Edward AGAPOV (eap)
//
#ifndef SMESH_Block_HeaderFile
#define SMESH_Block_HeaderFile
#include "SMESH_Utils.hxx"
//#include <Geom2d_Curve.hxx>
//#include <Geom_Curve.hxx>
//#include <Geom_Surface.hxx>
#include <TopExp.hxx>
#include <TopTools_IndexedMapOfOrientedShape.hxx>
#include <TopoDS_Edge.hxx>
#include <TopoDS_Face.hxx>
#include <TopoDS_Shell.hxx>
#include <TopoDS_Vertex.hxx>
#include <gp_XY.hxx>
#include <gp_XYZ.hxx>
#include <math_FunctionSetWithDerivatives.hxx>
#include <ostream>
#include <vector>
#include <list>
class SMDS_MeshVolume;
class SMDS_MeshNode;
class Adaptor3d_Surface;
class Adaptor2d_Curve2d;
class Adaptor3d_Curve;
class gp_Pnt;
// =========================================================
// class calculating coordinates of 3D points by normalized
// parameters inside the block and vice versa
// =========================================================
class SMESHUtils_EXPORT SMESH_Block: public math_FunctionSetWithDerivatives
{
public:
enum TShapeID {
// ----------------------------
// Ids of the block sub-shapes
// ----------------------------
ID_NONE = 0,
ID_V000 = 1, ID_V100, ID_V010, ID_V110, ID_V001, ID_V101, ID_V011, ID_V111, // 1-8
ID_Ex00, ID_Ex10, ID_Ex01, ID_Ex11, // 9-12
ID_E0y0, ID_E1y0, ID_E0y1, ID_E1y1, // 13-16
ID_E00z, ID_E10z, ID_E01z, ID_E11z, // 17-20
ID_Fxy0, ID_Fxy1, ID_Fx0z, ID_Fx1z, ID_F0yz, ID_F1yz, // 21-26
ID_Shell, // 27
// to use TShapeID for indexing certain type subshapes
ID_FirstV = ID_V000, ID_FirstE = ID_Ex00, ID_FirstF = ID_Fxy0
};
public:
// -------------------------------------------------
// Block topology in terms of block sub-shapes' ids
// -------------------------------------------------
static int NbVertices() { return 8; }
static int NbEdges() { return 12; }
static int NbFaces() { return 6; }
static int NbSubShapes() { return ID_Shell; }
// to avoid magic numbers when allocating memory for subshapes
static inline bool IsVertexID( int theShapeID )
{ return ( theShapeID >= ID_V000 && theShapeID <= ID_V111 ); }
static inline bool IsEdgeID( int theShapeID )
{ return ( theShapeID >= ID_Ex00 && theShapeID <= ID_E11z ); }
static inline bool IsFaceID( int theShapeID )
{ return ( theShapeID >= ID_Fxy0 && theShapeID <= ID_F1yz ); }
static int ShapeIndex( int theShapeID )
{
if ( IsVertexID( theShapeID )) return theShapeID - ID_V000;
if ( IsEdgeID( theShapeID )) return theShapeID - ID_Ex00;
if ( IsFaceID( theShapeID )) return theShapeID - ID_Fxy0;
return 0;
}
// return index [0-...] for each type of sub-shapes,
// for example :
// ShapeIndex( ID_Ex00 ) == 0
// ShapeIndex( ID_Ex10 ) == 1
static void GetFaceEdgesIDs (const int faceID, std::vector< int >& edgeVec );
// return edges IDs of a face in the order u0, u1, 0v, 1v
static void GetEdgeVertexIDs (const int edgeID, std::vector< int >& vertexVec );
// return vertex IDs of an edge
static int GetCoordIndOnEdge (const int theEdgeID)
{ return (theEdgeID < ID_E0y0) ? 1 : (theEdgeID < ID_E00z) ? 2 : 3; }
// return an index of a coordinate which varies along the edge
static double* GetShapeCoef (const int theShapeID);
// for theShapeID( TShapeID ), returns 3 coefficients used
// to compute an addition of an on-theShape point to coordinates
// of an in-shell point. If an in-shell point has parameters (Px,Py,Pz),
// then the addition of a point P is computed as P*kx*ky*kz and ki is
// defined by the returned coef like this:
// ki = (coef[i] == 0) ? 1 : (coef[i] < 0) ? 1 - Pi : Pi
static int GetShapeIDByParams ( const gp_XYZ& theParams );
// define an id of the block sub-shape by point parameters
static std::ostream& DumpShapeID (const int theBlockShapeID, std::ostream& stream);
// DEBUG: dump an id of a block sub-shape
public:
// ---------------
// Initialization
// ---------------
SMESH_Block();
bool LoadBlockShapes(const TopoDS_Shell& theShell,
const TopoDS_Vertex& theVertex000,
const TopoDS_Vertex& theVertex001,
TopTools_IndexedMapOfOrientedShape& theShapeIDMap );
// Initialize block geometry with theShell,
// add sub-shapes of theBlock to theShapeIDMap so that they get
// IDs according to enum TShapeID
bool LoadBlockShapes(const TopTools_IndexedMapOfOrientedShape& theShapeIDMap);
// Initialize block geometry with shapes from theShapeIDMap
bool LoadMeshBlock(const SMDS_MeshVolume* theVolume,
const int theNode000Index,
const int theNode001Index,
std::vector<const SMDS_MeshNode*>& theOrderedNodes);
// prepare to work with theVolume and
// return nodes in theVolume corners in the order of TShapeID enum
bool LoadFace(const TopoDS_Face& theFace,
const int theFaceID,
const TopTools_IndexedMapOfOrientedShape& theShapeIDMap);
// Load face geometry.
// It is enough to compute params or coordinates on the face.
// Face subshapes must be loaded into theShapeIDMap before
static bool Insert(const TopoDS_Shape& theShape,
const int theShapeID,
TopTools_IndexedMapOfOrientedShape& theShapeIDMap);
// Insert theShape into theShapeIDMap with theShapeID,
// Not yet set shapes preceding theShapeID are filled with compounds
// Return true if theShape was successfully bound to theShapeID
static bool FindBlockShapes(const TopoDS_Shell& theShell,
const TopoDS_Vertex& theVertex000,
const TopoDS_Vertex& theVertex001,
TopTools_IndexedMapOfOrientedShape& theShapeIDMap );
// add sub-shapes of theBlock to theShapeIDMap so that they get
// IDs according to enum TShapeID
public:
// ---------------------------------
// Define coordinates by parameters
// ---------------------------------
bool VertexPoint( const int theVertexID, gp_XYZ& thePoint ) const {
if ( !IsVertexID( theVertexID )) return false;
thePoint = myPnt[ theVertexID - ID_FirstV ]; return true;
}
// return vertex coordinates, parameters are defined by theVertexID
bool EdgePoint( const int theEdgeID, const gp_XYZ& theParams, gp_XYZ& thePoint ) const {
if ( !IsEdgeID( theEdgeID )) return false;
thePoint = myEdge[ theEdgeID - ID_FirstE ].Point( theParams ); return true;
}
// return coordinates of a point on edge
bool EdgeU( const int theEdgeID, const gp_XYZ& theParams, double& theU ) const {
if ( !IsEdgeID( theEdgeID )) return false;
theU = myEdge[ theEdgeID - ID_FirstE ].GetU( theParams ); return true;
}
// return parameter on edge by in-block parameters
bool FacePoint( const int theFaceID, const gp_XYZ& theParams, gp_XYZ& thePoint ) const {
if ( !IsFaceID ( theFaceID )) return false;
thePoint = myFace[ theFaceID - ID_FirstF ].Point( theParams ); return true;
}
// return coordinates of a point on face
bool FaceUV( const int theFaceID, const gp_XYZ& theParams, gp_XY& theUV ) const {
if ( !IsFaceID ( theFaceID )) return false;
theUV = myFace[ theFaceID - ID_FirstF ].GetUV( theParams ); return true;
}
// return UV coordinates on a face by in-block parameters
bool ShellPoint( const gp_XYZ& theParams, gp_XYZ& thePoint ) const;
// return coordinates of a point in shell
static bool ShellPoint(const gp_XYZ& theParams,
const std::vector<gp_XYZ>& thePointOnShape,
gp_XYZ& thePoint );
// computes coordinates of a point in shell by points on sub-shapes
// and point parameters.
// thePointOnShape[ subShapeID ] must be a point on a subShape;
// thePointOnShape.size() == ID_Shell, thePointOnShape[0] not used
public:
// ---------------------------------
// Define parameters by coordinates
// ---------------------------------
bool ComputeParameters (const gp_Pnt& thePoint,
gp_XYZ& theParams,
const int theShapeID = ID_Shell,
const gp_XYZ& theParamsHint = gp_XYZ(-1,-1,-1));
// compute point parameters in the block.
// Note: for edges, it is better to use EdgeParameters()
// Return false only in case of "hard" failure, use IsToleranceReached() etc
// to evaluate quality of the found solution
bool VertexParameters(const int theVertexID, gp_XYZ& theParams);
// return parameters of a vertex given by TShapeID
bool EdgeParameters(const int theEdgeID, const double theU, gp_XYZ& theParams);
// return parameters of a point given by theU on edge
void SetTolerance(const double tol);
// set tolerance for ComputeParameters()
double GetTolerance() const { return myTolerance; }
// return current tolerance of ComputeParameters()
bool IsToleranceReached() const;
// return true if solution found by ComputeParameters() is within the tolerance
double DistanceReached() const { return distance(); }
// return distance between solution found by ComputeParameters() and thePoint
public:
// ---------
// Services
// ---------
static bool IsForwardEdge (const TopoDS_Edge & theEdge,
const TopTools_IndexedMapOfOrientedShape& theShapeIDMap) {
int v1ID = theShapeIDMap.FindIndex( TopExp::FirstVertex( theEdge ).Oriented( TopAbs_FORWARD ));
int v2ID = theShapeIDMap.FindIndex( TopExp::LastVertex( theEdge ).Oriented( TopAbs_FORWARD ));
return ( v1ID < v2ID );
}
// Return true if an in-block parameter increases along theEdge curve
static int GetOrderedEdges (const TopoDS_Face& theFace,
std::list< TopoDS_Edge >& theEdges,
std::list< int > & theNbEdgesInWires,
TopoDS_Vertex theFirstVertex=TopoDS_Vertex(),
const bool theShapeAnalysisAlgo=false);
// Return nb wires and a list of ordered edges.
// It is used to assign indices to subshapes.
// theFirstVertex may be NULL.
// Always try to set a seam edge first
// if (theShapeAnalysisAlgo) then ShapeAnalysis::OuterWire() is used to find the outer
// wire else BRepTools::OuterWire() is used
public:
// -----------------------------------------------------------
// Methods of math_FunctionSetWithDerivatives used internally
// to define parameters by coordinates
// -----------------------------------------------------------
Standard_Integer NbVariables() const;
Standard_Integer NbEquations() const;
Standard_Boolean Value(const math_Vector& X,math_Vector& F) ;
Standard_Boolean Derivatives(const math_Vector& X,math_Matrix& D) ;
Standard_Boolean Values(const math_Vector& X,math_Vector& F,math_Matrix& D) ;
Standard_Integer GetStateNumber ();
protected:
/*!
* \brief Call it after geometry initialization
*/
void init();
// Note: to compute params of a point on a face, it is enough to set
// TFace, TEdge's and points for that face only
// Note 2: curve adaptors need to have only Value(double), FirstParameter() and
// LastParameter() defined to be used by Block algorithms
class SMESHUtils_EXPORT TEdge {
int myCoordInd;
double myFirst;
double myLast;
Adaptor3d_Curve* myC3d;
// if mesh volume
gp_XYZ myNodes[2];
public:
void Set( const int edgeID, Adaptor3d_Curve* curve, const bool isForward );
void Set( const int edgeID, const gp_XYZ& node1, const gp_XYZ& node2 );
Adaptor3d_Curve* GetCurve() const { return myC3d; }
double EndParam(int i) const { return i ? myLast : myFirst; }
int CoordInd() const { return myCoordInd; }
const gp_XYZ& NodeXYZ(int i) const { return i ? myNodes[1] : myNodes[0]; }
gp_XYZ Point( const gp_XYZ& theParams ) const; // Return coord by params
double GetU( const gp_XYZ& theParams ) const; // Return U by params
TEdge(): myC3d(0) {}
~TEdge();
};
class SMESHUtils_EXPORT TFace {
// 4 edges in the order u0, u1, 0v, 1v
int myCoordInd[ 4 ];
double myFirst [ 4 ];
double myLast [ 4 ];
Adaptor2d_Curve2d* myC2d [ 4 ];
// 4 corner points in the order 00, 10, 11, 01
gp_XY myCorner [ 4 ];
// surface
Adaptor3d_Surface* myS;
// if mesh volume
gp_XYZ myNodes[4];
public:
void Set( const int faceID, Adaptor3d_Surface* S, // must be in GetFaceEdgesIDs() order:
Adaptor2d_Curve2d* c2d[4], const bool isForward[4] );
void Set( const int faceID, const TEdge& edgeU0, const TEdge& edgeU1 );
gp_XY GetUV( const gp_XYZ& theParams ) const;
gp_XYZ Point( const gp_XYZ& theParams ) const;
int GetUInd() const { return myCoordInd[ 0 ]; }
int GetVInd() const { return myCoordInd[ 2 ]; }
void GetCoefs( int i, const gp_XYZ& theParams, double& eCoef, double& vCoef ) const;
const Adaptor3d_Surface* Surface() const { return myS; }
bool IsUVInQuad( const gp_XY& uv,
const gp_XYZ& param0, const gp_XYZ& param1,
const gp_XYZ& param2, const gp_XYZ& param3 ) const;
gp_XY GetUVRange() const;
TFace(): myS(0) { myC2d[0]=myC2d[1]=myC2d[2]=myC2d[3]=0; }
~TFace();
};
// geometry in the order as in TShapeID:
// 8 vertices
gp_XYZ myPnt[ 8 ];
// 12 edges
TEdge myEdge[ 12 ];
// 6 faces
TFace myFace[ 6 ];
// for param computation
enum { SQUARE_DIST = 0, DRV_1, DRV_2, DRV_3 };
double distance () const { return sqrt( myValues[ SQUARE_DIST ]); }
double funcValue(double sqDist) const { return mySquareFunc ? sqDist : sqrt(sqDist); }
bool computeParameters(const gp_Pnt& thePoint, gp_XYZ& theParams, const gp_XYZ& theParamsHint, int);
void refineParametersOnFace( const gp_Pnt& thePoint, gp_XYZ& theParams, int theFaceID );
bool findUVByHalfDivision( const gp_Pnt& thePoint, const gp_XY& theUV,
const TFace& tface, gp_XYZ& theParams);
bool findUVAround( const gp_Pnt& thePoint, const gp_XY& theUV,
const TFace& tface, gp_XYZ& theParams, int nbGetWorstLimit );
bool saveBetterSolution( const gp_XYZ& theNewParams, gp_XYZ& theParams, double sqDistance );
int myFaceIndex;
double myFaceParam;
int myNbIterations;
double mySumDist;
double myTolerance;
bool mySquareFunc;
gp_XYZ myPoint; // the given point
gp_XYZ myParam; // the best parameters guess
double myValues[ 4 ]; // values computed at myParam: square distance and 3 derivatives
typedef std::pair<gp_XYZ,gp_XYZ> TxyzPair;
TxyzPair my3x3x3GridNodes[ 1000 ]; // to compute the first param guess
bool myGridComputed;
};
#endif
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