enable ComputeParameters() to find a better solution in hard cases

(concave faces)

+  void refineParametersOnFace( const gp_Pnt& thePoint, gp_XYZ& theParams, int theFaceID );
This commit is contained in:
eap 2013-09-03 10:33:38 +00:00
parent ab9af27445
commit 24a2dcb5a8
2 changed files with 438 additions and 15 deletions

View File

@ -35,7 +35,9 @@
#include <BRep_Tool.hxx>
#include <Bnd_Box.hxx>
#include <Extrema_ExtPC.hxx>
#include <Extrema_ExtPS.hxx>
#include <Extrema_POnCurv.hxx>
#include <Extrema_POnSurf.hxx>
#include <Geom2d_Curve.hxx>
#include <ShapeAnalysis.hxx>
#include <TopExp_Explorer.hxx>
@ -59,6 +61,7 @@
#include "utilities.h"
#include <list>
#include <limits>
using namespace std;
@ -302,6 +305,47 @@ gp_XYZ SMESH_Block::TFace::Point( const gp_XYZ& theParams ) const
return p;
}
namespace
{
bool isPntInTria( const gp_XY& p, const gp_XY& t0, const gp_XY& t1, const gp_XY& t2 )
{
const double // matrix 2x2
T11 = t0.X()-t2.X(), T12 = t1.X()-t2.X(),
T21 = t0.Y()-t2.Y(), T22 = t1.Y()-t2.Y();
const double Tdet = T11*T22 - T12*T21; // matrix determinant
if ( Abs( Tdet ) < std::numeric_limits<double>::min() )
return false;
// matrix inverse
const double t11 = T22, t12 = -T12, t21 = -T21, t22 = T11;
// vector
const double r11 = p.X()-t2.X(), r12 = p.Y()-t2.Y();
// barycentric coordinates: mutiply matrix by vector
const double bc0 = (t11 * r11 + t12 * r12)/Tdet;
const double bc1 = (t21 * r11 + t22 * r12)/Tdet;
return ( bc0 >= 0. && bc1 >= 0. && bc0 + bc1 <= 1. );
}
bool isPntInQuad( const gp_XY& p,
const gp_XY& q0, const gp_XY& q1, const gp_XY& q2, const gp_XY& q3 )
{
const int in1 = isPntInTria( p, q0, q1, q2 );
const int in2 = isPntInTria( p, q0, q2, q3 );
return in1 + in2 == 1;
}
}
bool SMESH_Block::TFace::IsUVInQuad( const gp_XY& uv,
const gp_XYZ& param0, const gp_XYZ& param1,
const gp_XYZ& param2, const gp_XYZ& param3 ) const
{
gp_XY q0 = GetUV( param0 );
gp_XY q1 = GetUV( param1 );
gp_XY q2 = GetUV( param2 );
gp_XY q3 = GetUV( param3 );
return isPntInQuad( uv, q0,q1,q2,q3);
}
//=======================================================================
//function : GetShapeCoef
//purpose :
@ -580,7 +624,8 @@ Standard_Boolean SMESH_Block::Values(const math_Vector& theXYZ,
bool SMESH_Block::computeParameters(const gp_Pnt& thePoint,
gp_XYZ& theParams,
const gp_XYZ& theParamsHint)
const gp_XYZ& theParamsHint,
int theShapeID)
{
myPoint = thePoint.XYZ();
@ -622,8 +667,11 @@ bool SMESH_Block::computeParameters(const gp_Pnt& thePoint,
theParams = myParam;
if ( myFaceIndex > 0 )
{
theParams.SetCoord( myFaceIndex, myFaceParam );
if ( distance() > loopTol )
refineParametersOnFace( thePoint, theParams, theShapeID );
}
return true;
}
@ -706,7 +754,8 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint,
box.Add( gp_Pnt( prmPtn.second ));
}
myGridComputed = true;
myTolerance = sqrt( box.SquareExtent() ) * 1e-5;
if ( myTolerance < 0 )
myTolerance = sqrt( box.SquareExtent() ) * 1e-5;
}
}
@ -764,7 +813,7 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint,
if ( sqDist > sqDistance ) { // solution get worse
if ( ++nbGetWorst > 2 )
return computeParameters( thePoint, theParams, solution );
return computeParameters( thePoint, theParams, solution, theShapeID );
}
#ifdef DEBUG_PARAM_COMPUTE
MESSAGE ( "PARAMS: ( " << params.X() <<" "<< params.Y() <<" "<< params.Z() <<" )" );
@ -819,20 +868,382 @@ bool SMESH_Block::ComputeParameters(const gp_Pnt& thePoint,
<< " ------ NB IT: " << myNbIterations << ", SUM DIST: " << mySumDist );
#endif
if ( myFaceIndex > 0 )
theParams.SetCoord( myFaceIndex, myFaceParam );
const double reachedDist = sqrt( sqDistance );
if ( reachedDist > 1000 * myTolerance &&
computeParameters( thePoint, theParams, solution ) &&
// if ( reachedDist > 1000 * myTolerance &&
// computeParameters( thePoint, theParams, solution ) &&
// reachedDist > distance() )
// return true;
if ( reachedDist > 10 * myTolerance &&
computeParameters( thePoint, theParams, solution, theShapeID ) &&
reachedDist > distance() )
return true;
theParams = solution;
myValues[ SQUARE_DIST ] = sqDistance;
if ( myFaceIndex > 0 )
theParams.SetCoord( myFaceIndex, myFaceParam );
if ( reachedDist > 10 * myTolerance && myFaceIndex > 0 )
refineParametersOnFace( thePoint, theParams, theShapeID );
return true;
}
//================================================================================
/*!
* \brief Find more precise solution
* \param [in] thePoint - the point
* \param [in,out] theParams - solution to precise
* \param [in] theFaceID - FACE ID
*/
//================================================================================
void SMESH_Block::refineParametersOnFace( const gp_Pnt& thePoint,
gp_XYZ& theParams,
int theFaceID )
{
// find UV of thePoint on the FACE
Standard_Real U,V;
const TFace& tface = myFace[ theFaceID - ID_FirstF ];
if ( !tface.Surface() ) return;
Extrema_ExtPS extPS( thePoint, *tface.Surface(),
tface.Surface()->UResolution( myTolerance ),
tface.Surface()->VResolution( myTolerance ));
if ( !extPS.IsDone() || extPS.NbExt() < 1 )
return;
double minDist = 1e100;
for ( int i = 1; i <= extPS.NbExt(); ++i )
if ( extPS.SquareDistance( i ) < minDist )
{
minDist = extPS.SquareDistance( i );
extPS.Point( i ).Parameter( U,V );
}
if ( minDist > 100 * myTolerance * myTolerance )
return;
int nbGetUV = 0; // just for statistics
// find a range of parameters including the UV
double xMin, xMax, yMin, yMax;
gp_XY uv(U,V);
//#define _DEBUG_REFINE_
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): dividing Starts at dist " << distance()<< endl;
#endif
double dx = 0.1, xSol = theParams.Coord( tface.GetUInd() );
double dy = 0.1, ySol = theParams.Coord( tface.GetVInd() );
gp_XYZ xXYZ( 0,0,0 ); xXYZ.SetCoord( tface.GetUInd(), 1 );
gp_XYZ yXYZ( 0,0,0 ); yXYZ.SetCoord( tface.GetVInd(), 1 );
gp_XYZ xy0,xy1,xy2,xy3;
bool isInQuad = false;
while ( !isInQuad )
{
xMin = Max( 0., xSol - 0.5*dx ); xMax = Min( 1.0, xSol + 0.5*dx );
yMin = Max( 0., ySol - 0.5*dy ); yMax = Min( 1.0, ySol + 0.5*dy );
xy0.SetLinearForm( xMin, xXYZ, yMin, yXYZ );
xy1.SetLinearForm( xMax, xXYZ, yMin, yXYZ );
xy2.SetLinearForm( xMax, xXYZ, yMax, yXYZ );
xy3.SetLinearForm( xMin, xXYZ, yMax, yXYZ );
isInQuad = tface.IsUVInQuad( uv, xy0,xy1,xy2,xy3 );
nbGetUV += 4;
if ( !isInQuad )
{
dx *= 1.2;
dy *= 1.2;
xSol = 0.5 * (xMax + xMin) ;
ySol = 0.5 * (yMax + yMin) ;
if ( xMin == 0. && yMin == 0. && xMax == 1. && yMax == 1. ) // avoid infinit loop
{
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): tface.IsUVInQuad() fails" << endl;
cout << " nbGetUV = " << nbGetUV << endl;
#endif
break;
}
}
}
// refine solution using half-division technic
gp_XYZ sol = theParams;
const double paramTol = 0.001;
while ( dx > paramTol || dy > paramTol )
{
// divide along X
bool xDivided = ( dx > paramTol );
if ( xDivided )
{
double xMid = 0.5 * ( xMin + xMax );
gp_XYZ parMid1 = xMid * xXYZ + yMin * yXYZ;
gp_XYZ parMid2 = xMid * xXYZ + yMax * yXYZ;
nbGetUV += 4;
if ( tface.IsUVInQuad( uv, xy0,parMid1,parMid2,xy3 ))
{
xMax = xMid;
xy1 = parMid1; xy2 = parMid2;
}
else if ( tface.IsUVInQuad( uv, parMid1,xy1,xy2,parMid2 ))
{
nbGetUV += 4;
xMin = xMid;
xy0 = parMid1; xy3 = parMid2;
}
else
{
nbGetUV += 8;
xDivided = false;
}
dx = xMax - xMin;
}
// divide along Y
bool yDivided = ( dy > paramTol );
if ( yDivided )
{
double yMid = 0.5 * ( yMin + yMax );
gp_XYZ parMid2 = xMax * xXYZ + yMid * yXYZ;
gp_XYZ parMid3 = xMin * xXYZ + yMid * yXYZ;
nbGetUV += 4;
if ( tface.IsUVInQuad( uv, xy0,xy1,parMid2,parMid3 ))
{
yMax = yMid;
xy2 = parMid2; xy3 = parMid3;
}
else if ( tface.IsUVInQuad( uv, parMid3,parMid2,xy2,xy3 ))
{
nbGetUV += 4;
yMin = yMid;
xy0 = parMid3; xy1 = parMid2;
}
else
{
nbGetUV += 8;
yDivided = false;
}
dy = yMax - yMin;
}
if ( !xDivided && !yDivided )
{
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): nothing divided" << endl;
cout << " nbGetUV = " << nbGetUV << endl;
#endif
break;
}
// evaluate reached distance to thePoint
sol.SetCoord( tface.GetUInd(), 0.5 * ( xMin + xMax ));
sol.SetCoord( tface.GetVInd(), 0.5 * ( yMin + yMax ));
if ( saveBetterSolution( sol, theParams, thePoint.SquareDistance( tface.Point( sol ))))
{
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): dividing suceeded" << endl;
cout << " nbGetUV = " << nbGetUV << endl;
#endif
return;
}
}
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): dividing Ends at dist " << distance()<< endl;
cout << " nbGetUV = " << nbGetUV << endl;
#endif
//if ( !isInQuad )
{
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): walk around Starts at dist " << distance()<< endl;
cout << " nbGetUV = " << (nbGetUV=0) << endl;
#endif
dx = dy = 0.01;
xMin = theParams.Coord( tface.GetUInd() );
yMin = theParams.Coord( tface.GetVInd() );
yMax = yMin;
if ( xMin + dx < 1. )
xMax = xMin + dx;
else
xMax = 1, xMin = 1 - dx;
sol = theParams;
sol.SetCoord( tface.GetUInd(), xMax );
sol.SetCoord( tface.GetVInd(), yMax );
nbGetUV++;
if ( saveBetterSolution( sol, theParams, thePoint.SquareDistance( tface.Point( sol ))))
return;
int nbGetWorstLimit = 20;
int xMaxNbGetWorst = 0, xMinNbGetWorst = 0, yMaxNbGetWorst = 0, yMinNbGetWorst = 0;
double xMaxBestDist = 1e100, xMinBestDist = 1e100, yMaxBestDist = 1e100, yMinBestDist = 1e100;
double x, y, bestDist, dist;
while ( xMax - xMin < 1 || yMax - yMin < 1 )
{
// walk along X
if ( yMin > 0. )
{
bestDist = 1e100;
for ( x = Max(0.,xMin); x <= xMax+paramTol; x += dx )
{
y = Max( 0., yMin - dy );
sol.SetCoord( tface.GetUInd(), x );
sol.SetCoord( tface.GetVInd(), y );
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
sol.SetCoord( tface.GetUInd(), Min( 1., x + 0.5*dx ));
sol.SetCoord( tface.GetVInd(), y + 0.5*dy );
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
}
yMin = Max(0., yMin-dy );
yMinNbGetWorst += ( yMinBestDist < bestDist );
yMinBestDist = Min( yMinBestDist, bestDist );
if ( yMinNbGetWorst > nbGetWorstLimit )
yMin = 0;
}
if ( yMax < 1. )
{
bestDist = 1e100;
for ( x = Max(0.,xMin); x <= xMax+paramTol; x += dx )
{
y = Min( 1., yMax + dy );
sol.SetCoord( tface.GetUInd(), x );
sol.SetCoord( tface.GetVInd(), y );
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
sol.SetCoord( tface.GetUInd(), Min( 1., x + 0.5*dx ));
sol.SetCoord( tface.GetVInd(), y - 0.5*dy );
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
}
yMax = Min(1., yMax+dy );
yMaxNbGetWorst += ( yMaxBestDist < bestDist );
yMaxBestDist = Min( yMaxBestDist, bestDist );
if ( yMaxNbGetWorst > nbGetWorstLimit )
yMax = 1;
}
// walk along Y
if ( xMin > 0. )
{
bestDist = 1e100;
for ( y = Max(0.,yMin); y <= yMax+paramTol; y += dy )
{
x = Max( 0., xMin - dx );
sol.SetCoord( tface.GetUInd(), x );
sol.SetCoord( tface.GetVInd(), y );
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
sol.SetCoord( tface.GetUInd(), x + 0.5*dx );
sol.SetCoord( tface.GetVInd(), Min( 1., y + 0.5*dy ));
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
}
xMin = Max(0., xMin-dx );
xMinNbGetWorst += ( xMinBestDist < bestDist );
xMinBestDist = Min( xMinBestDist, bestDist );
if ( xMinNbGetWorst > nbGetWorstLimit )
xMin = 0;
}
if ( xMax < 1. )
{
bestDist = 1e100;
for ( y = Max(0.,yMin); y <= yMax+paramTol; y += dy )
{
x = Min( 1., xMax + dx );
sol.SetCoord( tface.GetUInd(), x );
sol.SetCoord( tface.GetVInd(), y );
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
sol.SetCoord( tface.GetUInd(), x - 0.5*dx);
sol.SetCoord( tface.GetVInd(), Min( 1., y + 0.5*dy ));
nbGetUV++;
dist = thePoint.SquareDistance( tface.Point( sol ));
bestDist = Min( dist, bestDist );
if ( saveBetterSolution( sol, theParams, dist ))
return;
}
xMax = Min(1., xMax+dx );
xMaxNbGetWorst += ( xMaxBestDist < bestDist );
xMaxBestDist = Min( xMaxBestDist, bestDist );
if ( xMaxNbGetWorst > nbGetWorstLimit )
xMax = 1;
}
}
#ifdef _DEBUG_REFINE_
cout << "SMESH_Block::refineParametersOnFace(): walk around failed at dist " << distance()<< endl;
cout << " nbGetUV = " << nbGetUV << endl;
#endif
}
}
//================================================================================
/*!
* \brief Store a solution if it's better than a previous one
* \param [in] theNewParams - a new solution
* \param [out] theParams - the parameters to store solution in
* \param [in] sqDistance - a square distance reached at theNewParams
* \return bool - true if the reached distance is within the tolerance
*/
//================================================================================
bool SMESH_Block::saveBetterSolution( const gp_XYZ& theNewParams,
gp_XYZ& theParams,
double sqDistance )
{
if ( myValues[ SQUARE_DIST ] > sqDistance )
{
myValues[ SQUARE_DIST ] = sqDistance;
theParams = theNewParams;
if ( distance() <= myTolerance )
return true;
}
return false;
}
//=======================================================================
//function : SetTolerance
//purpose : set tolerance for ComputeParameters()
//=======================================================================
void SMESH_Block::SetTolerance(const double tol)
{
if ( tol > 0 )
myTolerance = tol;
}
//=======================================================================
//function : IsToleranceReached
//purpose : return true if solution found by ComputeParameters() is within the tolerance
//=======================================================================
bool SMESH_Block::IsToleranceReached() const
{
return distance() < myTolerance;
}
//=======================================================================
//function : VertexParameters
//purpose : return parameters of a vertex given by TShapeID

View File

@ -246,6 +246,8 @@ public:
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
@ -253,14 +255,18 @@ public:
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()
public:
// ---------------
// Block geometry
// ---------------
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
@ -352,6 +358,10 @@ public:
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;
TFace(): myS(0) { myC2d[0]=myC2d[1]=myC2d[2]=myC2d[3]=0; }
~TFace();
};
@ -369,7 +379,9 @@ public:
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);
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 saveBetterSolution( const gp_XYZ& theNewParams, gp_XYZ& theParams, double sqDistance );
int myFaceIndex;
double myFaceParam;