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// File: GProp_UFunction.gxx
// Created: Fri Dec 9 16:18:05 2005
// Author: Sergey KHROMOV
// <skv@dimox>
//=======================================================================
//function : Constructor.
//purpose :
//=======================================================================
GProp_UFunction::GProp_UFunction(const Face &theSurface,
const gp_Pnt &theVertex,
const Standard_Boolean IsByPoint,
const Standard_Address theCoeffs)
: mySurface(theSurface),
myVertex(theVertex),
myCoeffs(theCoeffs),
myVParam(0.),
myValueType(GProp_Unknown),
myIsByPoint(IsByPoint)
{
}
//=======================================================================
//function : Value
//purpose : Returns a value of the function.
//=======================================================================
Standard_Boolean GProp_UFunction::Value(const Standard_Real X,
Standard_Real &F)
{
// Volume computation
if (myValueType == GProp_Mass) {
gp_XYZ aPMP0;
Standard_Real aTmpPar1;
Standard_Real aTmpPar2;
F = VolumeValue(X, aPMP0, aTmpPar1, aTmpPar2);
return Standard_True;
}
// Center of mass computation
if (myValueType == GProp_CenterMassX ||
myValueType == GProp_CenterMassY ||
myValueType == GProp_CenterMassZ)
return CenterMassValue(X, F);
// Inertia computation
if (myValueType == GProp_InertiaXX ||
myValueType == GProp_InertiaYY ||
myValueType == GProp_InertiaZZ ||
myValueType == GProp_InertiaXY ||
myValueType == GProp_InertiaXZ ||
myValueType == GProp_InertiaYZ)
return InertiaValue(X, F);
return Standard_False;
}
//=======================================================================
//function : VolumeValue
//purpose : Returns the value for volume computation.
//=======================================================================
Standard_Real GProp_UFunction::VolumeValue(const Standard_Real X,
gp_XYZ &thePMP0,
Standard_Real &theS,
Standard_Real &theD1)
{
gp_Pnt aPnt;
gp_Vec aNorm;
mySurface.Normal(X, myVParam, aPnt, aNorm);
thePMP0 = aPnt.XYZ().Subtracted(myVertex.XYZ());
// Volume computation for ByPoint mode.
if (myIsByPoint)
return thePMP0.Dot(aNorm.XYZ());
// Volume and additional coefficients computation for ByPlane mode.
Standard_Real *aCoeff = (Standard_Real *)myCoeffs;
theS = aNorm.X()*aCoeff[0] + aNorm.Y()*aCoeff[1] + aNorm.Z()*aCoeff[2];
theD1 = thePMP0.X()*aCoeff[0] + thePMP0.Y()*aCoeff[1]
+ thePMP0.Z()*aCoeff[2] - aCoeff[3];
return theS*theD1;
}
//=======================================================================
//function : CenterMassValue
//purpose : Returns a value for the center of mass computation.
//=======================================================================
Standard_Boolean GProp_UFunction::CenterMassValue(const Standard_Real X,
Standard_Real &F)
{
gp_XYZ aPmP0;
Standard_Real aS;
Standard_Real aD1 = 0;
F = VolumeValue(X, aPmP0, aS, aD1);
// Center of mass computation for ByPoint mode.
if (myIsByPoint) {
switch (myValueType) {
case GProp_CenterMassX: F *= aPmP0.X(); break;
case GProp_CenterMassY: F *= aPmP0.Y(); break;
case GProp_CenterMassZ: F *= aPmP0.Z(); break;
default:
return Standard_False;
}
return Standard_True;
}
// Center of mass computation for ByPlane mode.
Standard_Real *aCoeff = (Standard_Real *)myCoeffs;
switch (myValueType) {
case GProp_CenterMassX: F *= (aPmP0.X() - 0.5*aCoeff[0]*aD1); break;
case GProp_CenterMassY: F *= (aPmP0.Y() - 0.5*aCoeff[1]*aD1); break;
case GProp_CenterMassZ: F *= (aPmP0.Z() - 0.5*aCoeff[2]*aD1); break;
default:
return Standard_False;
}
return Standard_True;
}
//=======================================================================
//function : InertiaValue
//purpose : Compute the value of intertia.
//=======================================================================
Standard_Boolean GProp_UFunction::InertiaValue(const Standard_Real X,
Standard_Real &F)
{
gp_XYZ aPmP0;
Standard_Real aS = 0;
Standard_Real aD1 = 0;
Standard_Real aParam1;
Standard_Real aParam2;
Standard_Real *aCoeffs = (Standard_Real *)myCoeffs;
F = VolumeValue(X, aPmP0, aS, aD1);
// Inertia computation for ByPoint mode.
if (myIsByPoint) {
switch(myValueType) {
case GProp_InertiaXX:
case GProp_InertiaYZ:
aParam1 = aPmP0.Y() - aCoeffs[1];
aParam2 = aPmP0.Z() - aCoeffs[2];
break;
case GProp_InertiaYY:
case GProp_InertiaXZ:
aParam1 = aPmP0.X() - aCoeffs[0];
aParam2 = aPmP0.Z() - aCoeffs[2];
break;
case GProp_InertiaZZ:
case GProp_InertiaXY:
aParam1 = aPmP0.X() - aCoeffs[0];
aParam2 = aPmP0.Y() - aCoeffs[1];
break;
default:
return Standard_False;
}
if (myValueType == GProp_InertiaXX ||
myValueType == GProp_InertiaYY ||
myValueType == GProp_InertiaZZ)
F *= aParam1*aParam1 + aParam2*aParam2;
else
F *= -aParam1*aParam2;
return Standard_True;
}
// Inertia computation for ByPlane mode.
Standard_Real aD2 = aD1*aD1;
Standard_Real aD3 = aD1*aD2/3.;
Standard_Real aPPar1;
Standard_Real aPPar2;
Standard_Real aCoeff1;
Standard_Real aCoeff2;
// Inertia computation for XX, YY and ZZ.
if (myValueType == GProp_InertiaXX ||
myValueType == GProp_InertiaYY ||
myValueType == GProp_InertiaZZ) {
if (myValueType == GProp_InertiaXX) {
aPPar1 = aPmP0.Y();
aPPar2 = aPmP0.Z();
aCoeff1 = aCoeffs[1];
aCoeff2 = aCoeffs[2];
} else if (myValueType == GProp_InertiaYY) {
aPPar1 = aPmP0.X();
aPPar2 = aPmP0.Z();
aCoeff1 = aCoeffs[0];
aCoeff2 = aCoeffs[2];
} else { // myValueType == GProp_InertiaZZ
aPPar1 = aPmP0.X();
aPPar2 = aPmP0.Y();
aCoeff1 = aCoeffs[0];
aCoeff2 = aCoeffs[1];
}
aPPar1 -= aCoeff1*aD1;
aPPar2 -= aCoeff2*aD1;
aParam1 = aPPar1*aPPar1*aD1 + aPPar1*aCoeff1*aD2 + aCoeff1*aCoeff1*aD3;
aParam2 = aPPar2*aPPar2*aD1 + aPPar2*aCoeff2*aD2 + aCoeff2*aCoeff2*aD3;
F = (aParam1 + aParam2)*aS;
return Standard_True;
}
// Inertia computation for XY, YZ and XZ.
if (myValueType == GProp_InertiaXY ||
myValueType == GProp_InertiaYZ ||
myValueType == GProp_InertiaXZ) {
if (myValueType == GProp_InertiaXY) {
aPPar1 = aPmP0.X();
aPPar2 = aPmP0.Y();
aCoeff1 = aCoeffs[0];
aCoeff2 = aCoeffs[1];
} else if (myValueType == GProp_InertiaYZ) {
aPPar1 = aPmP0.Y();
aPPar2 = aPmP0.Z();
aCoeff1 = aCoeffs[1];
aCoeff2 = aCoeffs[2];
} else { // myValueType == GProp_InertiaXZ
aPPar1 = aPmP0.X();
aPPar2 = aPmP0.Z();
aCoeff1 = aCoeffs[0];
aCoeff2 = aCoeffs[2];
}
aD2 *= 0.5;
aPPar1 -= aCoeff1*aD1;
aPPar2 -= aCoeff2*aD1;
aParam1 = aPPar1*aPPar2*aD1
+ (aPPar1*aCoeff2 + aPPar2*aCoeff1)*aD2 + aCoeff1*aCoeff2*aD3;
F = -aParam1*aS;
return Standard_True;
}
return Standard_False;
}
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