From: eap Date: Wed, 6 Dec 2006 16:01:42 +0000 (+0000) Subject: PAL13473 (Build repetitive mesh): X-Git-Tag: V3_2_4pre1~16 X-Git-Url: http://git.salome-platform.org/gitweb/?a=commitdiff_plain;h=7a3bd6fcfd40d2d12b89f57f6f6054fbccba1cae;p=modules%2Fsmesh.git PAL13473 (Build repetitive mesh): 1) redesign to make geometry customizable by decsendants 2) fix parameters computation --- diff --git a/src/SMESH/SMESH_Block.cxx b/src/SMESH/SMESH_Block.cxx index 3a0868330..fa7fc282f 100644 --- a/src/SMESH/SMESH_Block.cxx +++ b/src/SMESH/SMESH_Block.cxx @@ -23,19 +23,22 @@ #include "SMESH_Block.hxx" +#include +#include +#include #include #include +#include #include #include #include -#include -#include +#include #include -#include #include #include #include #include +#include #include #include #include @@ -52,7 +55,46 @@ using namespace std; -#define SQRT_FUNC 1 +#define SQRT_FUNC 0 + +//================================================================================ +/*! + * \brief Set edge data + * \param edgeID - block subshape ID + * \param curve - edge geometry + * \param isForward - is curve orientation coincides with edge orientation in the block + */ +//================================================================================ + +void SMESH_Block::TEdge::Set( const int edgeID, Adaptor3d_Curve* curve, const bool isForward ) +{ + myCoordInd = SMESH_Block::GetCoordIndOnEdge( edgeID ); + if ( myC3d ) delete myC3d; + myC3d = curve; + myFirst = curve->FirstParameter(); + myLast = curve->LastParameter(); + if ( !isForward ) + std::swap( myFirst, myLast ); +} + +//================================================================================ +/*! + * \brief Set coordinates of nodes at edge ends to work with mesh block + * \param edgeID - block subshape ID + * \param node1 - coordinates of node with lower ID + * \param node2 - coordinates of node with upper ID + */ +//================================================================================ + +void SMESH_Block::TEdge::Set( const int edgeID, const gp_XYZ& node1, const gp_XYZ& node2 ) +{ + myCoordInd = SMESH_Block::GetCoordIndOnEdge( edgeID ); + myNodes[ 0 ] = node1; + myNodes[ 1 ] = node2; + + if ( myC3d ) delete myC3d; + myC3d = 0; +} //======================================================================= //function : SMESH_Block::TEdge::GetU @@ -62,7 +104,7 @@ using namespace std; double SMESH_Block::TEdge::GetU( const gp_XYZ& theParams ) const { double u = theParams.Coord( myCoordInd ); - if ( myC3d.IsNull() ) // if mesh block + if ( !myC3d ) // if mesh block return u; return ( 1 - u ) * myFirst + u * myLast; } @@ -75,14 +117,95 @@ double SMESH_Block::TEdge::GetU( const gp_XYZ& theParams ) const gp_XYZ SMESH_Block::TEdge::Point( const gp_XYZ& theParams ) const { double u = GetU( theParams ); + if ( myC3d ) return myC3d->Value( u ).XYZ(); + // mesh block + return myNodes[0] * ( 1 - u ) + myNodes[1] * u; +} - if ( myC3d.IsNull() ) // if mesh block - return myNodes[0] * ( 1 - u ) + myNodes[1] * u; +//================================================================================ +/*! + * \brief Destructor + */ +//================================================================================ - gp_XYZ p = myC3d->Value( u ).XYZ(); - if ( myTrsf.Form() != gp_Identity ) - myTrsf.Transforms( p ); - return p; +SMESH_Block::TEdge::~TEdge() +{ + if ( myC3d ) delete myC3d; +} + +//================================================================================ +/*! + * \brief Set face data + * \param faceID - block subshape ID + * \param S - face surface geometry + * \param c2d - 4 pcurves in the order as returned by GetFaceEdgesIDs(faceID) + * \param isForward - orientation of pcurves comparing with block edge direction + */ +//================================================================================ + +void SMESH_Block::TFace::Set( const int faceID, + Adaptor3d_Surface* S, + Adaptor2d_Curve2d* c2D[4], + const bool isForward[4] ) +{ + if ( myS ) delete myS; + myS = S; + // pcurves + vector< int > edgeIdVec; + GetFaceEdgesIDs( faceID, edgeIdVec ); + for ( int iE = 0; iE < edgeIdVec.size(); iE++ ) // loop on 4 edges + { + myCoordInd[ iE ] = GetCoordIndOnEdge( edgeIdVec[ iE ] ); + if ( myC2d[ iE ]) delete myC2d[ iE ]; + myC2d[ iE ] = c2D[ iE ]; + myFirst[ iE ] = myC2d[ iE ]->FirstParameter(); + myLast [ iE ] = myC2d[ iE ]->LastParameter(); + if ( !isForward[ iE ]) + std::swap( myFirst[ iE ], myLast[ iE ] ); + } + // 2d corners + myCorner[ 0 ] = myC2d[ 0 ]->Value( myFirst[0] ).XY(); + myCorner[ 1 ] = myC2d[ 0 ]->Value( myLast[0] ).XY(); + myCorner[ 2 ] = myC2d[ 1 ]->Value( myLast[1] ).XY(); + myCorner[ 3 ] = myC2d[ 1 ]->Value( myFirst[1] ).XY(); +} + +//================================================================================ +/*! + * \brief Set face data to work with mesh block + * \param faceID - block subshape ID + * \param edgeU0 - filled data of edge u0 = GetFaceEdgesIDs(faceID)[ 0 ] + * \param edgeU1 - filled data of edge u1 = GetFaceEdgesIDs(faceID)[ 1 ] + */ +//================================================================================ + +void SMESH_Block::TFace::Set( const int faceID, const TEdge& edgeU0, const TEdge& edgeU1 ) +{ + vector< int > edgeIdVec; + GetFaceEdgesIDs( faceID, edgeIdVec ); + myNodes[ 0 ] = edgeU0.NodeXYZ( 1 ); + myNodes[ 1 ] = edgeU0.NodeXYZ( 0 ); + myNodes[ 2 ] = edgeU1.NodeXYZ( 0 ); + myNodes[ 3 ] = edgeU1.NodeXYZ( 1 ); + myCoordInd[ 0 ] = GetCoordIndOnEdge( edgeIdVec[ 0 ] ); + myCoordInd[ 1 ] = GetCoordIndOnEdge( edgeIdVec[ 1 ] ); + myCoordInd[ 2 ] = GetCoordIndOnEdge( edgeIdVec[ 2 ] ); + myCoordInd[ 3 ] = GetCoordIndOnEdge( edgeIdVec[ 3 ] ); + if ( myS ) delete myS; + myS = 0; +} + +//================================================================================ +/*! + * \brief Destructor + */ +//================================================================================ + +SMESH_Block::TFace::~TFace() +{ + if ( myS ) delete myS; + for ( int i = 0 ; i < 4; ++i ) + if ( myC2d[ i ]) delete myC2d[ i ]; } //======================================================================= @@ -144,7 +267,7 @@ gp_XY SMESH_Block::TFace::GetUV( const gp_XYZ& theParams ) const gp_XYZ SMESH_Block::TFace::Point( const gp_XYZ& theParams ) const { gp_XYZ p(0.,0.,0.); - if ( myS.IsNull() ) // if mesh block + if ( !myS ) // if mesh block { for ( int iE = 0; iE < 4; iE++ ) // loop on 4 edges { @@ -168,8 +291,6 @@ gp_XYZ SMESH_Block::TFace::Point( const gp_XYZ& theParams ) const { gp_XY uv = GetUV( theParams ); p = myS->Value( uv.X(), uv.Y() ).XYZ(); - if ( myTrsf.Form() != gp_Identity ) - myTrsf.Transforms( p ); } return p; } @@ -224,17 +345,20 @@ bool SMESH_Block::ShellPoint( const gp_XYZ& theParams, gp_XYZ& thePoint ) const k *= theParams.Coord( iCoef + 1 ); } } - // point on a shape - gp_XYZ Ps; - if ( shapeID < ID_Ex00 ) // vertex - VertexPoint( shapeID, Ps ); - else if ( shapeID < ID_Fxy0 ) { // edge - EdgePoint( shapeID, theParams, Ps ); - k = -k; - } else // face - FacePoint( shapeID, theParams, Ps ); - - thePoint += k * Ps; + // add point on a shape + if ( fabs( k ) > DBL_MIN ) + { + gp_XYZ Ps; + if ( shapeID < ID_Ex00 ) // vertex + VertexPoint( shapeID, Ps ); + else if ( shapeID < ID_Fxy0 ) { // edge + EdgePoint( shapeID, theParams, Ps ); + k = -k; + } else // face + FacePoint( shapeID, theParams, Ps ); + + thePoint += k * Ps; + } } return true; } @@ -331,6 +455,8 @@ Standard_Boolean SMESH_Block::Derivatives(const math_Vector& XYZ,math_Matrix& Df //purpose : //======================================================================= +//#define DEBUG_PARAM_COMPUTE + Standard_Boolean SMESH_Block::Values(const math_Vector& theXYZ, math_Vector& theFxyz, math_Matrix& theDf) @@ -345,11 +471,13 @@ Standard_Boolean SMESH_Block::Values(const math_Vector& theXYZ, theDf( 1,3 ) = myValues[ 3 ]; return true; } - +#ifdef DEBUG_PARAM_COMPUTE + cout << "PARAM GUESS: " << params.X() << " "<< params.Y() << " "<< params.X() << endl; +#endif ShellPoint( params, P ); //myNbIterations++; // how many time call ShellPoint() - gp_Vec dP( P - myPoint ); + gp_Vec dP( myPoint, P ); theFxyz(1) = SQRT_FUNC ? dP.SquareMagnitude() : dP.Magnitude(); if ( theFxyz(1) < 1e-6 ) { myParam = params; @@ -363,36 +491,48 @@ Standard_Boolean SMESH_Block::Values(const math_Vector& theXYZ, if ( theFxyz(1) < myValues[0] ) // a better guess { // 3 partial derivatives - gp_Vec drv[ 3 ]; + gp_Vec drv[ 3 ]; // where we move with a small step in each direction for ( int iP = 1; iP <= 3; iP++ ) { + if ( iP - 1 == myFaceIndex ) { + drv[ iP - 1 ] = gp_Vec(0,0,0); + continue; + } gp_XYZ Pi; - params.SetCoord( iP, theXYZ( iP ) + 0.001 ); + bool onEdge = ( theXYZ( iP ) + 0.001 > 1. ); + if ( onEdge ) + params.SetCoord( iP, theXYZ( iP ) - 0.001 ); + else + params.SetCoord( iP, theXYZ( iP ) + 0.001 ); ShellPoint( params, Pi ); params.SetCoord( iP, theXYZ( iP ) ); // restore params gp_Vec dPi ( P, Pi ); + if ( onEdge ) dPi *= -1.; double mag = dPi.Magnitude(); if ( mag > DBL_MIN ) dPi /= mag; drv[ iP - 1 ] = dPi; } for ( int iP = 0; iP < 3; iP++ ) { - if ( iP == myFaceIndex ) - theDf( 1, iP + 1 ) = myFaceParam; - else { + theDf( 1, iP + 1 ) = dP * drv[iP]; + // Distance from P to plane passing through myPoint and defined + // by the 2 other derivative directions: // like IntAna_IntConicQuad::Perform (const gp_Lin& L, const gp_Pln& P) // where L is (P -> myPoint), P is defined by the 2 other derivative direction - int iPrev = ( iP ? iP - 1 : 2 ); - int iNext = ( iP == 2 ? 0 : iP + 1 ); - gp_Vec plnNorm = drv[ iPrev ].Crossed( drv [ iNext ] ); - double Direc = plnNorm * drv[ iP ]; - if ( Abs(Direc) <= DBL_MIN ) - theDf( 1, iP + 1 ) = dP * drv[ iP ]; - else { - double Dis = plnNorm * P - plnNorm * myPoint; - theDf( 1, iP + 1 ) = Dis/Direc; - } - } +// int iPrev = ( iP ? iP - 1 : 2 ); +// int iNext = ( iP == 2 ? 0 : iP + 1 ); +// gp_Vec plnNorm = drv[ iPrev ].Crossed( drv [ iNext ] ); +// double Direc = plnNorm * drv[ iP ]; +// if ( Abs(Direc) <= DBL_MIN ) +// theDf( 1, iP + 1 ) = dP * drv[ iP ]; +// else { +// double Dis = plnNorm * P - plnNorm * myPoint; +// theDf( 1, iP + 1 ) = Dis/Direc; +// } } +#ifdef DEBUG_PARAM_COMPUTE + cout << "F = " << theFxyz(1) << + " DRV: " << theDf(1,1) << " " << theDf(1,2) << " " << theDf(1,3) << endl; +#endif //myNbIterations +=3; // how many time call ShellPoint() // store better values @@ -424,10 +564,9 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint, return true; if ( IsEdgeID( theShapeID )) { - TEdge& e = myEdge[ theShapeID - ID_Ex00 ]; - GeomAdaptor_Curve curve( e.myC3d ); - double f = Min( e.myFirst, e.myLast ), l = Max( e.myFirst, e.myLast ); - Extrema_ExtPC anExtPC( thePoint, curve, f, l ); + TEdge& e = myEdge[ theShapeID - ID_FirstE ]; + Adaptor3d_Curve* curve = e.GetCurve(); + Extrema_ExtPC anExtPC( thePoint, *curve, curve->FirstParameter(), curve->LastParameter() ); int i, nb = anExtPC.IsDone() ? anExtPC.NbExt() : 0; for ( i = 1; i <= nb; i++ ) { if ( anExtPC.IsMin( i )) @@ -469,7 +608,7 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint, double par = 0; if ( len2 > zero ) { par = v0P.Dot( v01 ) / len2; - if ( par < 0 || par > 1 ) { + if ( par < 0 || par > 1 ) { // projection falls out of line ends => needGrid needGrid = true; break; } @@ -507,7 +646,7 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint, start( 3 ) = bestParam->Z(); } - int myFaceIndex = -1; + myFaceIndex = -1; if ( isOnFace ) { // put a point on the face for ( int iCoord = 0; iCoord < 3; iCoord++ ) @@ -522,9 +661,14 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint, math_Vector tol ( 1, 3, 1e-4 ); math_FunctionSetRoot paramSearch( *this, tol ); +#ifdef DEBUG_PARAM_COMPUTE + cout << " #### POINT " < 1e-1 && nbLoops++ < 10 ) { - paramSearch.Perform ( *this, start, low, up ); + paramSearch.Perform ( *static_cast(this), + start, low, up ); if ( !paramSearch.IsDone() ) { //MESSAGE( " !paramSearch.IsDone() " ); } @@ -536,11 +680,18 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint, start( 3 ) = myParam.Z(); //MESSAGE( "Distance: " << ( SQRT_FUNC ? sqrt(myValues[0]) : myValues[0] )); } +#ifdef DEBUG_PARAM_COMPUTE + cout << "-------SOLUTION-------: " << endl + << myParam.X() << " " << myParam.Y() << " " << myParam.Z() << endl + << " ------ DIST :" << myValues[0] << endl; +#endif // MESSAGE( endl << myParam.X() << " " << myParam.Y() << " " << myParam.Z() << endl); // mySumDist += myValues[0]; // MESSAGE( " TOTAL NB ITERATIONS: " << myNbIterations << // " DIST: " << ( SQRT_FUNC ? sqrt(mySumDist) : mySumDist )); + if ( myFaceIndex >= 0 ) + myParam.SetCoord( myFaceIndex + 1, myFaceParam ); theParams = myParam; @@ -576,8 +727,8 @@ bool SMESH_Block::EdgeParameters(const int theEdgeID, const double theU, gp_XYZ& GetEdgeVertexIDs( theEdgeID, vertexVec ); VertexParameters( vertexVec[0], theParams ); TEdge& e = myEdge[ theEdgeID - ID_Ex00 ]; - double param = ( theU - e.myFirst ) / ( e.myLast - e.myFirst ); - theParams.SetCoord( e.myCoordInd, param ); + double param = ( theU - e.EndParam(0) ) / ( e.EndParam(1) - e.EndParam(0) ); + theParams.SetCoord( e.CoordInd(), param ); return true; } return false; @@ -685,16 +836,15 @@ int SMESH_Block::GetShapeIDByParams ( const gp_XYZ& theCoord ) return id + 1; // shape ids start at 1 } - //======================================================================= -//function : getOrderedEdges +//function : GetOrderedEdges //purpose : return nb wires and a list of oredered edges //======================================================================= -static int getOrderedEdges (const TopoDS_Face& theFace, - const TopoDS_Vertex& theFirstVertex, - list< TopoDS_Edge >& theEdges, - list< int > & theNbVertexInWires) +int SMESH_Block::GetOrderedEdges (const TopoDS_Face& theFace, + TopoDS_Vertex theFirstVertex, + list< TopoDS_Edge >& theEdges, + list< int > & theNbVertexInWires) { // put wires in a list, so that an outer wire comes first list aWireList; @@ -740,22 +890,60 @@ static int getOrderedEdges (const TopoDS_Face& theFace, isFirst = ( p2.SquareDistance( pf ) < p2.SquareDistance( pl )); if ( isNext ? isFirst : !isFirst ) edge.Reverse(); + // to make a seam go first + if ( theFirstVertex.IsNull() ) + theFirstVertex = TopExp::FirstVertex( edge, true ); } } // rotate theEdges until it begins from theFirstVertex - if ( ! theFirstVertex.IsNull() ) - while ( !theFirstVertex.IsSame( TopExp::FirstVertex( theEdges.front(), true ))) + if ( ! theFirstVertex.IsNull() ) { + TopoDS_Vertex vv[2]; + TopExp::Vertices( theEdges.front(), vv[0], vv[1], true ); + // on closed face, make seam edge the first in the list + while ( !vv[0].IsSame( theFirstVertex ) || vv[0].IsSame( vv[1] )) { theEdges.splice(theEdges.end(), theEdges, - theEdges.begin(), ++ theEdges.begin()); - if ( iE++ > theNbVertexInWires.back() ) + theEdges.begin(), ++theEdges.begin()); + TopExp::Vertices( theEdges.front(), vv[0], vv[1], true ); + if ( iE++ > theNbVertexInWires.back() ) { +#ifdef _DEBUG_ + gp_Pnt p = BRep_Tool::Pnt( theFirstVertex ); + cout << " : Warning : vertex "<< theFirstVertex.TShape().operator->() + << " ( " << p.X() << " " << p.Y() << " " << p.Z() << " )" + << " not found in outer wire of face "<< theFace.TShape().operator->() + << " with vertices: " << endl; + wExp.Init( *wlIt, theFace ); + for ( int i = 0; wExp.More(); wExp.Next(), i++ ) + { + TopoDS_Edge edge = wExp.Current(); + edge = TopoDS::Edge( edge.Oriented( wExp.Orientation() )); + TopoDS_Vertex v = TopExp::FirstVertex( edge, true ); + gp_Pnt p = BRep_Tool::Pnt( v ); + cout << i << " " << v.TShape().operator->() << " " + << p.X() << " " << p.Y() << " " << p.Z() << " " << endl; + } +#endif break; // break infinite loop + } } - } + } + } // end outer wire } return aWireList.size(); } +//================================================================================ +/*! + * \brief Call it after geometry initialisation + */ +//================================================================================ + +void SMESH_Block::init() +{ + myNbIterations = 0; + mySumDist = 0; + myGridComputed = false; +} //======================================================================= //function : LoadMeshBlock @@ -770,10 +958,7 @@ bool SMESH_Block::LoadMeshBlock(const SMDS_MeshVolume* theVolume, vector& theOrderedNodes) { MESSAGE(" ::LoadMeshBlock()"); - - myNbIterations = 0; - mySumDist = 0; - myGridComputed = false; + init(); SMDS_VolumeTool vTool; if (!vTool.Set( theVolume ) || vTool.NbNodes() != 8 || @@ -868,59 +1053,21 @@ bool SMESH_Block::LoadMeshBlock(const SMDS_MeshVolume* theVolume, theOrderedNodes[ 7 ] = nn[ V111 ]; // fill edges - myEdge[ ID_Ex00 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V000 - 1 ]; - myEdge[ ID_Ex00 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V100 - 1 ]; - - myEdge[ ID_Ex10 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V010 - 1 ]; - myEdge[ ID_Ex10 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V110 - 1 ]; - - myEdge[ ID_Ex01 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V001 - 1 ]; - myEdge[ ID_Ex01 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V101 - 1 ]; - - myEdge[ ID_Ex11 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V011 - 1 ]; - myEdge[ ID_Ex11 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V111 - 1 ]; - - myEdge[ ID_E0y0 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V000 - 1 ]; - myEdge[ ID_E0y0 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V010 - 1 ]; - - myEdge[ ID_E1y0 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V100 - 1 ]; - myEdge[ ID_E1y0 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V110 - 1 ]; - - myEdge[ ID_E0y1 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V001 - 1 ]; - myEdge[ ID_E0y1 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V011 - 1 ]; - - myEdge[ ID_E1y1 - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V101 - 1 ]; - myEdge[ ID_E1y1 - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V111 - 1 ]; - - myEdge[ ID_E00z - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V000 - 1 ]; - myEdge[ ID_E00z - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V001 - 1 ]; - - myEdge[ ID_E10z - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V100 - 1 ]; - myEdge[ ID_E10z - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V101 - 1 ]; - - myEdge[ ID_E01z - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V010 - 1 ]; - myEdge[ ID_E01z - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V011 - 1 ]; - - myEdge[ ID_E11z - ID_Ex00 ].myNodes[ 0 ] = myPnt[ ID_V110 - 1 ]; - myEdge[ ID_E11z - ID_Ex00 ].myNodes[ 1 ] = myPnt[ ID_V111 - 1 ]; - - for ( iE = ID_Ex00; iE <= ID_E11z; ++iE ) - myEdge[ iE - ID_Ex00 ].myCoordInd = GetCoordIndOnEdge( iE ); + vector< int > vertexVec; + for ( iE = 0; iE < NbEdges(); ++iE ) { + GetEdgeVertexIDs(( iE + ID_FirstE ), vertexVec ); + myEdge[ iE ].Set(( iE + ID_FirstE ), + myPnt[ vertexVec[0] - 1 ], + myPnt[ vertexVec[1] - 1 ]); + } - // fill faces corners + // fill faces' corners for ( iF = ID_Fxy0; iF < ID_Shell; ++iF ) { - TFace& tFace = myFace[ iF - ID_Fxy0 ]; + TFace& tFace = myFace[ iF - ID_FirstF ]; vector< int > edgeIdVec(4, -1); GetFaceEdgesIDs( iF, edgeIdVec ); - tFace.myNodes[ 0 ] = myEdge[ edgeIdVec [ 0 ] - ID_Ex00 ].myNodes[ 1 ]; - tFace.myNodes[ 1 ] = myEdge[ edgeIdVec [ 0 ] - ID_Ex00 ].myNodes[ 0 ]; - tFace.myNodes[ 2 ] = myEdge[ edgeIdVec [ 1 ] - ID_Ex00 ].myNodes[ 0 ]; - tFace.myNodes[ 3 ] = myEdge[ edgeIdVec [ 1 ] - ID_Ex00 ].myNodes[ 1 ]; - tFace.myCoordInd[ 0 ] = GetCoordIndOnEdge( edgeIdVec[ 0 ] ); - tFace.myCoordInd[ 1 ] = GetCoordIndOnEdge( edgeIdVec[ 1 ] ); - tFace.myCoordInd[ 2 ] = GetCoordIndOnEdge( edgeIdVec[ 2 ] ); - tFace.myCoordInd[ 3 ] = GetCoordIndOnEdge( edgeIdVec[ 3 ] ); + tFace.Set( iF, myEdge[ edgeIdVec [ 0 ]], myEdge[ edgeIdVec [ 1 ]]); } return true; @@ -928,7 +1075,8 @@ bool SMESH_Block::LoadMeshBlock(const SMDS_MeshVolume* theVolume, //======================================================================= //function : LoadBlockShapes -//purpose : add sub-shapes of theBlock to theShapeIDMap so that they get +//purpose : Initialize block geometry with theShell, +// add sub-shapes of theBlock to theShapeIDMap so that they get // IDs acoording to enum TShapeID //======================================================================= @@ -938,11 +1086,22 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, TopTools_IndexedMapOfOrientedShape& theShapeIDMap ) { MESSAGE(" ::LoadBlockShapes()"); + return ( FindBlockShapes( theShell, theVertex000, theVertex001, theShapeIDMap ) && + LoadBlockShapes( theShapeIDMap )); +} - myShell = theShell; - myNbIterations = 0; - mySumDist = 0; - myGridComputed = false; +//======================================================================= +//function : LoadBlockShapes +//purpose : add sub-shapes of theBlock to theShapeIDMap so that they get +// IDs acoording to enum TShapeID +//======================================================================= + +bool SMESH_Block::FindBlockShapes(const TopoDS_Shell& theShell, + const TopoDS_Vertex& theVertex000, + const TopoDS_Vertex& theVertex001, + TopTools_IndexedMapOfOrientedShape& theShapeIDMap ) +{ + MESSAGE(" ::FindBlockShapes()"); // 8 vertices TopoDS_Shape V000, V100, V010, V110, V001, V101, V011, V111; @@ -958,7 +1117,7 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, const int NB_FACES_BY_VERTEX = 6; TopTools_IndexedDataMapOfShapeListOfShape vfMap; - TopExp::MapShapesAndAncestors( myShell, TopAbs_VERTEX, TopAbs_FACE, vfMap ); + TopExp::MapShapesAndAncestors( theShell, TopAbs_VERTEX, TopAbs_FACE, vfMap ); if ( vfMap.Extent() != 8 ) { MESSAGE(" Wrong nb of vertices in the block: " << vfMap.Extent() ); return false; @@ -982,7 +1141,7 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, } // find vertex 001 - the one on the most vertical edge passing through V000 TopTools_IndexedDataMapOfShapeListOfShape veMap; - TopExp::MapShapesAndAncestors( myShell, TopAbs_VERTEX, TopAbs_EDGE, veMap ); + TopExp::MapShapesAndAncestors( theShell, TopAbs_VERTEX, TopAbs_EDGE, veMap ); gp_Vec dir001 = gp::DZ(); gp_Pnt p000 = BRep_Tool::Pnt( TopoDS::Vertex( V000 )); double maxVal = -DBL_MAX; @@ -1051,7 +1210,7 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, // find bottom edges and veritices list< TopoDS_Edge > eList; list< int > nbVertexInWires; - getOrderedEdges( TopoDS::Face( Fxy0 ), TopoDS::Vertex( V000 ), eList, nbVertexInWires ); + GetOrderedEdges( TopoDS::Face( Fxy0 ), TopoDS::Vertex( V000 ), eList, nbVertexInWires ); if ( nbVertexInWires.size() != 1 || nbVertexInWires.front() != 4 ) { MESSAGE(" LoadBlockShapes() error "); return false; @@ -1073,7 +1232,7 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, // find top edges and veritices eList.clear(); - getOrderedEdges( TopoDS::Face( Fxy1 ), TopoDS::Vertex( V001 ), eList, nbVertexInWires ); + GetOrderedEdges( TopoDS::Face( Fxy1 ), TopoDS::Vertex( V001 ), eList, nbVertexInWires ); if ( nbVertexInWires.size() != 1 || nbVertexInWires.front() != 4 ) { MESSAGE(" LoadBlockShapes() error "); return false; @@ -1097,7 +1256,7 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, if ( V101.IsSame( exp.Current() ) || V100.IsSame( exp.Current() )) break; // V101 or V100 found if ( !exp.More() ) { // not found - TopoDS_Shape f = Fx0z; Fx0z = F0yz; F0yz = f; + std::swap( Fx0z, F0yz); } // find Fx1z and F1yz faces @@ -1132,7 +1291,7 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, if ( V010.IsSame( exp.Current() ) || V011.IsSame( exp.Current() )) break; if ( !exp.More() ) { - TopoDS_Shape f = Fx1z; Fx1z = F1yz; F1yz = f; + std::swap( Fx1z, F1yz); } // find vertical edges @@ -1196,12 +1355,22 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, theShapeIDMap.Add(F0yz); theShapeIDMap.Add(F1yz); - theShapeIDMap.Add(myShell); + theShapeIDMap.Add(theShell); - if ( theShapeIDMap.Extent() != 27 ) { - MESSAGE("LoadBlockShapes() " << theShapeIDMap.Extent() ); - return false; - } + return true; +} + +//================================================================================ +/*! + * \brief Initialize block geometry with shapes from theShapeIDMap + * \param theShapeIDMap - map of block subshapes + * \retval bool - is a success + */ +//================================================================================ + +bool SMESH_Block::LoadBlockShapes(const TopTools_IndexedMapOfOrientedShape& theShapeIDMap) +{ + init(); // store shapes geometry for ( int shapeID = 1; shapeID < theShapeIDMap.Extent(); shapeID++ ) @@ -1211,59 +1380,24 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, { case TopAbs_VERTEX: { - if ( shapeID > ID_V111 ) { - MESSAGE(" shapeID =" << shapeID ); - return false; - } - myPnt[ shapeID - ID_V000 ] = - BRep_Tool::Pnt( TopoDS::Vertex( S )).XYZ(); + if ( !IsVertexID( ID_V111 )) return false; + myPnt[ shapeID - ID_V000 ] = BRep_Tool::Pnt( TopoDS::Vertex( S )).XYZ(); break; } case TopAbs_EDGE: { + if ( !IsEdgeID( shapeID )) return false; const TopoDS_Edge& edge = TopoDS::Edge( S ); - if ( shapeID < ID_Ex00 || shapeID > ID_E11z || edge.IsNull() ) { - MESSAGE(" shapeID =" << shapeID ); - return false; - } - TEdge& tEdge = myEdge[ shapeID - ID_Ex00 ]; - tEdge.myCoordInd = GetCoordIndOnEdge( shapeID ); - TopLoc_Location loc; - tEdge.myC3d = BRep_Tool::Curve( edge, loc, tEdge.myFirst, tEdge.myLast ); - if ( !IsForwardEdge( edge, theShapeIDMap )) - Swap( tEdge.myFirst, tEdge.myLast ); - tEdge.myTrsf = loc; + TEdge& tEdge = myEdge[ shapeID - ID_FirstE ]; + tEdge.Set( shapeID, + new BRepAdaptor_Curve( edge ), + IsForwardEdge( edge, theShapeIDMap )); break; } case TopAbs_FACE: { - const TopoDS_Face& face = TopoDS::Face( S ); - if ( shapeID < ID_Fxy0 || shapeID > ID_F1yz || face.IsNull() ) { - MESSAGE(" shapeID =" << shapeID ); + if ( !LoadFace( TopoDS::Face( S ), shapeID, theShapeIDMap )) return false; - } - TFace& tFace = myFace[ shapeID - ID_Fxy0 ]; - // pcurves - vector< int > edgeIdVec(4, -1); - GetFaceEdgesIDs( shapeID, edgeIdVec ); - for ( int iE = 0; iE < 4; iE++ ) // loop on 4 edges - { - const TopoDS_Edge& edge = TopoDS::Edge( theShapeIDMap( edgeIdVec[ iE ])); - tFace.myCoordInd[ iE ] = GetCoordIndOnEdge( edgeIdVec[ iE ] ); - tFace.myC2d[ iE ] = - BRep_Tool::CurveOnSurface( edge, face, tFace.myFirst[iE], tFace.myLast[iE] ); - if ( !IsForwardEdge( edge, theShapeIDMap )) - Swap( tFace.myFirst[ iE ], tFace.myLast[ iE ] ); - } - // 2d corners - tFace.myCorner[ 0 ] = tFace.myC2d[ 0 ]->Value( tFace.myFirst[0] ).XY(); - tFace.myCorner[ 1 ] = tFace.myC2d[ 0 ]->Value( tFace.myLast[0] ).XY(); - tFace.myCorner[ 2 ] = tFace.myC2d[ 1 ]->Value( tFace.myLast[1] ).XY(); - tFace.myCorner[ 3 ] = tFace.myC2d[ 1 ]->Value( tFace.myFirst[1] ).XY(); - // sufrace - TopLoc_Location loc; - tFace.myS = BRep_Tool::Surface( face, loc ); - tFace.myTrsf = loc; break; } default: break; @@ -1273,6 +1407,76 @@ bool SMESH_Block::LoadBlockShapes(const TopoDS_Shell& theShell, return true; } +//================================================================================ +/*! + * \brief Load face geometry + * \param theFace - face + * \param theFaceID - face in-block ID + * \param theShapeIDMap - map of block subshapes + * \retval bool - is a success + * + * It is enough to compute params or coordinates on the face. + * Face subshapes must be loaded into theShapeIDMap before + */ +//================================================================================ + +bool SMESH_Block::LoadFace(const TopoDS_Face& theFace, + const int theFaceID, + const TopTools_IndexedMapOfOrientedShape& theShapeIDMap) +{ + if ( !IsFaceID( theFaceID ) ) return false; + // pcurves + Adaptor2d_Curve2d* c2d[4]; + bool isForward[4]; + vector< int > edgeIdVec; + GetFaceEdgesIDs( theFaceID, edgeIdVec ); + for ( int iE = 0; iE < edgeIdVec.size(); iE++ ) // loop on 4 edges + { + if ( edgeIdVec[ iE ] > theShapeIDMap.Extent() ) + return false; + const TopoDS_Edge& edge = TopoDS::Edge( theShapeIDMap( edgeIdVec[ iE ])); + c2d[ iE ] = new BRepAdaptor_Curve2d( edge, theFace ); + isForward[ iE ] = IsForwardEdge( edge, theShapeIDMap ); + } + TFace& tFace = myFace[ theFaceID - ID_FirstF ]; + tFace.Set( theFaceID, new BRepAdaptor_Surface( theFace ), c2d, isForward ); + return true; +} + +//================================================================================ +/*! + * \brief/ Insert theShape into theShapeIDMap with theShapeID + * \param theShape - shape to insert + * \param theShapeID - shape in-block ID + * \param theShapeIDMap - map of block subshapes + */ +//================================================================================ + +bool SMESH_Block::Insert(const TopoDS_Shape& theShape, + const int theShapeID, + TopTools_IndexedMapOfOrientedShape& theShapeIDMap) +{ + if ( !theShape.IsNull() && theShapeID > 0 ) + { + if ( theShapeIDMap.Contains( theShape )) + return ( theShapeIDMap.FindIndex( theShape ) == theShapeID ); + + if ( theShapeID <= theShapeIDMap.Extent() ) { + theShapeIDMap.Substitute( theShapeID, theShape ); + } + else { + while ( theShapeIDMap.Extent() < theShapeID - 1 ) { + TopoDS_Compound comp; + BRep_Builder().MakeCompound( comp ); + theShapeIDMap.Add( comp ); + } + theShapeIDMap.Add( theShape ); + } + return true; + } + return false; +} + //======================================================================= //function : GetFaceEdgesIDs //purpose : return edges IDs in the order u0, u1, 0v, 1v @@ -1385,6 +1589,7 @@ void SMESH_Block::GetEdgeVertexIDs (const int edgeID, vector< int >& vertexVec ) vertexVec[ 1 ] = ID_V111; break; default: + vertexVec.resize(0); MESSAGE(" GetEdgeVertexIDs(), wrong edge ID: " << edgeID ); } } diff --git a/src/SMESH/SMESH_Block.hxx b/src/SMESH/SMESH_Block.hxx index 3a347a0f5..4fc7de583 100644 --- a/src/SMESH/SMESH_Block.hxx +++ b/src/SMESH/SMESH_Block.hxx @@ -25,12 +25,14 @@ #ifndef SMESH_Block_HeaderFile #define SMESH_Block_HeaderFile -#include -#include -#include +// #include +// #include +// #include + #include #include #include +#include #include #include #include @@ -43,9 +45,13 @@ #include #include +#include class SMDS_MeshVolume; class SMDS_MeshNode; +class Adaptor3d_Surface; +class Adaptor2d_Curve2d; +class Adaptor3d_Curve; // ========================================================= // class calculating coordinates of 3D points by normalized @@ -55,7 +61,10 @@ class SMDS_MeshNode; class SMESH_Block: public math_FunctionSetWithDerivatives { public: - enum TShapeID { // ids of the block sub-shapes + 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, @@ -68,9 +77,17 @@ class SMESH_Block: public math_FunctionSetWithDerivatives ID_Shell }; + enum { // to use TShapeID for indexing certain type subshapes + + ID_FirstV = ID_V000, ID_FirstE = ID_Ex00, ID_FirstF = ID_Fxy0 + }; - public: // methods about ids of the block sub-shapes + + public: + // ------------------------------------------------- + // Block topology in terms of block sub-shapes' ids + // ------------------------------------------------- static int NbVertices() { return 8; } static int NbEdges() { return 12; } @@ -124,7 +141,10 @@ class SMESH_Block: public math_FunctionSetWithDerivatives // DEBUG: dump an id of a block sub-shape - public: // initialization + public: + // --------------- + // Initialization + // --------------- SMESH_Block (): myNbIterations(0), mySumDist(0.) {} @@ -132,49 +152,92 @@ class SMESH_Block: public math_FunctionSetWithDerivatives 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 acoording 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, vector& theOrderedNodes); // prepare to work with theVolume and - // return nodes in the order of TShapeID enum - + // 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 acoording to enum TShapeID - public: // define coordinates by parameters +public: + // --------------------------------- + // Define coordinates by parameters + // --------------------------------- bool VertexPoint( const int theVertexID, gp_XYZ& thePoint ) const { if ( !IsVertexID( theVertexID )) return false; - thePoint = myPnt[ theVertexID - ID_V000 ]; return true; + 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_Ex00 ].Point( theParams ); return true; + 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_Fxy0 ].Point( theParams ); return true; + 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 vector& thePointOnShape, gp_XYZ& thePoint ); - // computes coordinates of a point in shell by points on sub-shapes; + // 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 + public: + // --------------------------------- + // Define parameters by coordinates + // --------------------------------- bool ComputeParameters (const gp_Pnt& thePoint, gp_XYZ& theParams, @@ -189,22 +252,40 @@ class SMESH_Block: public math_FunctionSetWithDerivatives // return parameters of a point given by theU on edge - public: // services + public: + // --------------- + // Block geomerty + // --------------- - static bool IsForwardEdge (const TopoDS_Edge & theEdge, - TopTools_IndexedMapOfOrientedShape& theShapeIDMap) { + + + 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 void Swap(double& a, double& b) { double tmp = a; a = b; b = tmp; } - + static int GetOrderedEdges (const TopoDS_Face& theFace, + TopoDS_Vertex theFirstVertex, + std::list< TopoDS_Edge >& theEdges, + std::list< int > & theNbVertexInWires); + // Return nb wires and a list of oredered edges. + // It is used to assign indices to subshapes. + // theFirstVertex may be NULL. + // Always try to set a seam edge first public: - // methods of math_FunctionSetWithDerivatives used internally + // ----------------------------------------------------------- + // 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) ; @@ -212,41 +293,61 @@ class SMESH_Block: public math_FunctionSetWithDerivatives Standard_Boolean Values(const math_Vector& X,math_Vector& F,math_Matrix& D) ; Standard_Integer GetStateNumber (); - private: + protected: + + /*! + * \brief Call it after geometry initialisation + */ + void init(); - struct TEdge { + // Note: to compute params of a point on a face, it is enough to set + // TFace, TEdge's and points for that face only + + class TEdge { int myCoordInd; double myFirst; double myLast; - Handle(Geom_Curve) myC3d; - gp_Trsf myTrsf; - double GetU( const gp_XYZ& theParams ) const; - gp_XYZ Point( const gp_XYZ& theParams ) const; + 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(); }; - struct TFace { + class TFace { // 4 edges in the order u0, u1, 0v, 1v int myCoordInd[ 4 ]; double myFirst [ 4 ]; double myLast [ 4 ]; - Handle(Geom2d_Curve) myC2d [ 4 ]; + Adaptor2d_Curve2d* myC2d [ 4 ]; // 4 corner points in the order 00, 10, 11, 01 gp_XY myCorner [ 4 ]; // surface - Handle(Geom_Surface) myS; - gp_Trsf myTrsf; + 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; - // if mesh volume - gp_XYZ myNodes[4]; + TFace(): myS(0) { myC2d[0]=myC2d[1]=myC2d[2]=myC2d[3]=0; } + ~TFace(); }; - TopoDS_Shell myShell; // geometry in the order as in TShapeID: // 8 vertices gp_XYZ myPnt[ 8 ]; @@ -264,10 +365,10 @@ class SMESH_Block: public math_FunctionSetWithDerivatives gp_XYZ myPoint; // the given point gp_XYZ myParam; // the best parameters guess - double myValues[ 4 ]; // values computed at myParam + double myValues[ 4 ]; // values computed at myParam: function value and 3 derivatives typedef pair TxyzPair; - TxyzPair my3x3x3GridNodes[ 27 ]; + TxyzPair my3x3x3GridNodes[ 27 ]; // to compute the first param guess bool myGridComputed; };