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// File: GProp_TFunction.gxx
// Created: Fri Dec 9 16:23:25 2005
// Author: Sergey KHROMOV
// <skv@dimox>
#include <TColStd_HArray1OfReal.hxx>
#include <math_KronrodSingleIntegration.hxx>
#include <Precision.hxx>
#include <math.hxx>
//=======================================================================
//function : Constructor.
//purpose :
//=======================================================================
GProp_TFunction::GProp_TFunction(const Face &theSurface,
const gp_Pnt &theVertex,
const Standard_Boolean IsByPoint,
const Standard_Address theCoeffs,
const Standard_Real theUMin,
const Standard_Real theTolerance)
: mySurface(theSurface),
myUFunction(mySurface, theVertex, IsByPoint, theCoeffs),
myUMin(theUMin),
myTolerance(theTolerance),
myTolReached(0.),
myErrReached(0.),
myAbsError(0.),
myValueType(GProp_Unknown),
myIsByPoint(IsByPoint),
myNbPntOuter(3)
{
}
//=======================================================================
//function : Init
//purpose :
//=======================================================================
void GProp_TFunction::Init()
{
myTolReached = 0.;
myErrReached = 0.;
myAbsError = 0.;
}
//=======================================================================
//function : Value
//purpose :
//=======================================================================
Standard_Boolean GProp_TFunction::Value(const Standard_Real X,
Standard_Real &F)
{
const Standard_Real tolU = 1.e-9;
gp_Pnt2d aP2d;
gp_Vec2d aV2d;
Standard_Real aUMax;
Handle(TColStd_HArray1OfReal) anUKnots;
mySurface.D12d(X, aP2d, aV2d);
aUMax = aP2d.X();
if(aUMax - myUMin < tolU) {
F = 0.;
return Standard_True;
}
mySurface.GetUKnots(myUMin, aUMax, anUKnots);
myUFunction.SetVParam(aP2d.Y());
// Compute the integral from myUMin to aUMax of myUFunction.
Standard_Integer i;
Standard_Real aCoeff = aV2d.Y();
Standard_Real aTol = myTolerance;
//aTol /= myNbPntOuter;
if (myValueType == GProp_Mass) {
if (myIsByPoint)
aCoeff /= 3.;
} else if (myValueType == GProp_CenterMassX ||
myValueType == GProp_CenterMassY ||
myValueType == GProp_CenterMassZ) {
if (myIsByPoint)
aCoeff *= 0.25;
} else if (myValueType == GProp_InertiaXX ||
myValueType == GProp_InertiaYY ||
myValueType == GProp_InertiaZZ ||
myValueType == GProp_InertiaXY ||
myValueType == GProp_InertiaXZ ||
myValueType == GProp_InertiaYZ) {
if (myIsByPoint)
aCoeff *= 0.2;
} else
return Standard_False;
Standard_Real aAbsCoeff = Abs(aCoeff);
if (aAbsCoeff <= Precision::Angular()) {
// No need to compute the integral. The value will be equal to 0.
F = 0.;
return Standard_True;
}
//else if (aAbsCoeff > 10.*aTol)
// aTol /= aAbsCoeff;
//else
// aTol = 0.1;
Standard_Integer iU = anUKnots->Upper();
Standard_Integer aNbPntsStart;
Standard_Integer aNbMaxIter = 1000;
math_KronrodSingleIntegration anIntegral;
Standard_Real aLocalErr = 0.;
i = anUKnots->Lower();
F = 0.;
// Epmirical criterion
aNbPntsStart = Min(15, mySurface.UIntegrationOrder()/(anUKnots->Length() - 1)+1);
aNbPntsStart = Max(5, aNbPntsStart);
while (i < iU) {
Standard_Real aU1 = anUKnots->Value(i++);
Standard_Real aU2 = anUKnots->Value(i);
if(aU2 - aU1 < tolU) continue;
anIntegral.Perform(myUFunction, aU1, aU2, aNbPntsStart, aTol, aNbMaxIter);
if (!anIntegral.IsDone())
return Standard_False;
F += anIntegral.Value();
aLocalErr += anIntegral.AbsolutError();
//cout << " TFunction : " << anIntegral.NbIterReached() << " " << anIntegral.AbsolutError() << endl;
}
F *= aCoeff;
aLocalErr *= aAbsCoeff;
myAbsError = Max(myAbsError, aLocalErr);
myTolReached += aLocalErr;
if(Abs(F) > Epsilon(1.)) aLocalErr /= Abs(F);
myErrReached = Max(myErrReached, aLocalErr);
return Standard_True;
}
//=======================================================================
//function : GetStateNumber
//purpose :
//=======================================================================
Standard_Integer GProp_TFunction::GetStateNumber()
{
//myErrReached = myTolReached;
//myTolReached = 0.;
//myNbPntOuter += RealToInt(0.5*myNbPntOuter);
//if (myNbPntOuter%2 == 0)
//myNbPntOuter++;
return 0;
}
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