PAL13473 (Build repetitive mesh):

1) redesign to make geometry customizable by decsendants
	2) fix parameters computation
This commit is contained in:
eap 2006-12-06 16:01:42 +00:00
parent 90945f5ac5
commit 7a3bd6fcfd
2 changed files with 513 additions and 207 deletions

View File

@ -23,19 +23,22 @@
#include "SMESH_Block.hxx"
#include <BRepAdaptor_Curve.hxx>
#include <BRepAdaptor_Curve2d.hxx>
#include <BRepAdaptor_Surface.hxx>
#include <BRepTools.hxx>
#include <BRepTools_WireExplorer.hxx>
#include <BRep_Builder.hxx>
#include <BRep_Tool.hxx>
#include <Extrema_ExtPC.hxx>
#include <Extrema_POnCurv.hxx>
#include <GeomAdaptor_Curve.hxx>
#include <TopAbs_ShapeEnum.hxx>
#include <Geom2d_Curve.hxx>
#include <TopExp_Explorer.hxx>
#include <TopLoc_Location.hxx>
#include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
#include <TopTools_ListIteratorOfListOfShape.hxx>
#include <TopTools_ListOfShape.hxx>
#include <TopoDS.hxx>
#include <TopoDS_Compound.hxx>
#include <TopoDS_Face.hxx>
#include <TopoDS_Iterator.hxx>
#include <TopoDS_Wire.hxx>
@ -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.IsNull() ) // if mesh block
if ( myC3d ) return myC3d->Value( u ).XYZ();
// mesh block
return myNodes[0] * ( 1 - u ) + myNodes[1] * u;
}
gp_XYZ p = myC3d->Value( u ).XYZ();
if ( myTrsf.Form() != gp_Identity )
myTrsf.Transforms( p );
return p;
//================================================================================
/*!
* \brief Destructor
*/
//================================================================================
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;
}
@ -224,7 +345,9 @@ bool SMESH_Block::ShellPoint( const gp_XYZ& theParams, gp_XYZ& thePoint ) const
k *= theParams.Coord( iCoef + 1 );
}
}
// point on a shape
// add point on a shape
if ( fabs( k ) > DBL_MIN )
{
gp_XYZ Ps;
if ( shapeID < ID_Ex00 ) // vertex
VertexPoint( shapeID, Ps );
@ -236,6 +359,7 @@ bool SMESH_Block::ShellPoint( const gp_XYZ& theParams, gp_XYZ& thePoint ) const
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;
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 " <<thePoint.X()<<" "<<thePoint.Y()<<" "<<thePoint.Z()<<" ####"<< endl;
cout << " ** START ** " << start(1) << " " << start(2) << " " << start(3) << " " << endl;
#endif
int nbLoops = 0;
while ( myValues[0] > 1e-1 && nbLoops++ < 10 ) {
paramSearch.Perform ( *this, start, low, up );
paramSearch.Perform ( *static_cast<math_FunctionSetWithDerivatives*>(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;
@ -685,14 +836,13 @@ 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,
int SMESH_Block::GetOrderedEdges (const TopoDS_Face& theFace,
TopoDS_Vertex theFirstVertex,
list< TopoDS_Edge >& theEdges,
list< int > & theNbVertexInWires)
{
@ -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() )
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<const SMDS_MeshNode*>& 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 ];
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 ]);
}
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 );
// 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
@ -1196,13 +1355,23 @@ 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 );
}
}

View File

@ -25,12 +25,14 @@
#ifndef SMESH_Block_HeaderFile
#define SMESH_Block_HeaderFile
#include <Geom2d_Curve.hxx>
#include <Geom_Curve.hxx>
#include <Geom_Surface.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_Pnt.hxx>
@ -43,9 +45,13 @@
#include <ostream>
#include <vector>
#include <list>
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<const SMDS_MeshNode*>& 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
public: // define coordinates by parameters
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
// ---------------------------------
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<gp_XYZ>& 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
// ---------------
public:
// ---------
// Services
// ---------
static bool IsForwardEdge (const TopoDS_Edge & theEdge,
TopTools_IndexedMapOfOrientedShape& theShapeIDMap) {
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:
struct TEdge {
/*!
* \brief Call it after geometry initialisation
*/
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
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<gp_XYZ,gp_XYZ> TxyzPair;
TxyzPair my3x3x3GridNodes[ 27 ];
TxyzPair my3x3x3GridNodes[ 27 ]; // to compute the first param guess
bool myGridComputed;
};