IntpAkimaUniform1<Real>::IntpAkimaUniform1 (int quantity, Real xMin,
Real xSpacing, Real* F)
:
IntpAkima1<Real>(quantity, F)
{
assertion(xSpacing > (Real)0, "Spacing must be positive\n");
mXMin = xMin;
mXMax = xMin + xSpacing*(quantity - 1);
mXSpacing = xSpacing;
// Compute slopes.
Real invDX = ((Real)1)/xSpacing;
Real* slope = new1<Real>(quantity + 3);
int i, ip1, ip2;
for (i = 0, ip1 = 1, ip2 = 2; i < quantity - 1; ++i, ++ip1, ++ip2)
{
slope[ip2] = (F[ip1] - F[i])*invDX;
}
slope[1] = ((Real)2)*slope[2] - slope[3];
slope[0] = ((Real)2)*slope[1] - slope[2];
slope[quantity + 1] = ((Real)2)*slope[quantity] - slope[quantity - 1];
slope[quantity + 2] = ((Real)2)*slope[quantity + 1] - slope[quantity];
// Construct derivatives.
Real* FDer = new1<Real>(quantity);
for (i = 0; i < quantity; ++i)
{
FDer[i] = ComputeDerivative(slope + i);
}
// Construct polynomials.
Real invDX2 = ((Real)1)/(xSpacing*xSpacing);
Real invDX3 = invDX2/xSpacing;
for (i = 0, ip1 = 1; i < quantity - 1; ++i, ++ip1)
{
typename IntpAkima1<Real>::Polynomial& poly = mPoly[i];
Real F0 = F[i];
Real F1 = F[ip1];
Real df = F1 - F0;
Real FDer0 = FDer[i];
Real FDer1 = FDer[ip1];
poly[0] = F0;
poly[1] = FDer0;
poly[2] = (((Real)3)*df - xSpacing*(FDer1 + ((Real)2)*FDer0))*invDX2;
poly[3] = (xSpacing*(FDer0 + FDer1) - ((Real)2)*df)*invDX3;
}
delete1(slope);
delete1(FDer);
}
IntpAkimaNonuniform1<Real>::IntpAkimaNonuniform1 ( int quantity, Real* X,
Real* F )
:
IntpAkima1<Real>( quantity, F ),
mX( X )
{
// Compute slopes.
Real* slope = new1<Real>( quantity + 3 );
int i, ip1, ip2;
for ( i = 0, ip1 = 1, ip2 = 2; i < quantity - 1; ++i, ++ip1, ++ip2 )
{
Real dx = X[ip1] - X[i];
Real df = F[ip1] - F[i];
slope[ip2] = df / dx;
}
slope[1] = ( ( Real )2 ) * slope[2] - slope[3];
slope[0] = ( ( Real )2 ) * slope[1] - slope[2];
slope[quantity + 1] = ( ( Real )2 ) * slope[quantity] - slope[quantity - 1];
slope[quantity + 2] = ( ( Real )2 ) * slope[quantity + 1] - slope[quantity];
// Construct derivatives.
Real* FDer = new1<Real>( quantity );
for ( i = 0; i < quantity; ++i )
{
FDer[i] = ComputeDerivative( slope + i );
}
// Construct polynomials.
for ( i = 0, ip1 = 1; i < quantity - 1; ++i, ++ip1 )
{
typename IntpAkima1<Real>::Polynomial& poly = mPoly[i];
Real F0 = F[i];
Real F1 = F[ip1];
Real FDer0 = FDer[i];
Real FDer1 = FDer[ip1];
Real df = F1 - F0;
Real dx = X[ip1] - X[i];
Real dx2 = dx * dx;
Real dx3 = dx2 * dx;
poly[0] = F0;
poly[1] = FDer0;
poly[2] = ( ( ( Real )3 ) * df - dx * ( FDer1 + ( ( Real )2 ) * FDer0 ) ) / dx2;
poly[3] = ( dx * ( FDer0 + FDer1 ) - ( ( Real )2 ) * df ) / dx3;
}
delete1( slope );
delete1( FDer );
}
IntpAkimaNonuniform1<Real>::IntpAkimaNonuniform1 (int iQuantity, Real* afX,
Real* afF)
:
IntpAkima1<Real>(iQuantity,afF)
{
m_afX = afX;
// compute slopes
Real* afSlope = WM4_NEW Real[iQuantity+3];
int i, iP1, iP2;
for (i = 0, iP1 = 1, iP2 = 2; i < iQuantity-1; i++, iP1++, iP2++)
{
Real fDX = afX[iP1] - afX[i];
Real fDF = afF[iP1] - afF[i];
afSlope[iP2] = fDF/fDX;
}
afSlope[1] = ((Real)2.0)*afSlope[2] - afSlope[3];
afSlope[0] = ((Real)2.0)*afSlope[1] - afSlope[2];
afSlope[iQuantity+1] = ((Real)2.0)*afSlope[iQuantity] -
afSlope[iQuantity-1];
afSlope[iQuantity+2] = ((Real)2.0)*afSlope[iQuantity+1] -
afSlope[iQuantity];
// construct derivatives
Real* afFDer = WM4_NEW Real[iQuantity];
for (i = 0; i < iQuantity; i++)
{
afFDer[i] = ComputeDerivative(afSlope+i);
}
// construct polynomials
for (i = 0, iP1 = 1; i < iQuantity-1; i++, iP1++)
{
typename IntpAkima1<Real>::Polynomial& rkPoly = m_akPoly[i];
Real fF0 = afF[i], fF1 = afF[iP1];
Real fFDer0 = afFDer[i], fFDer1 = afFDer[iP1];
Real fDF = fF1 - fF0;
Real fDX = afX[iP1] - afX[i];
Real fDX2 = fDX*fDX, fDX3 = fDX2*fDX;
rkPoly[0] = fF0;
rkPoly[1] = fFDer0;
rkPoly[2] = (((Real)3.0)*fDF-fDX*(fFDer1+((Real)2.0)*fFDer0))/fDX2;
rkPoly[3] = (fDX*(fFDer0 + fFDer1)-((Real)2.0)*fDF)/fDX3;
}
WM4_DELETE[] afSlope;
WM4_DELETE[] afFDer;
}
void SpringSys::UpdateParticleState(TimeValue t, Tab<Matrix3> tmArray, int index, TimeValue Delta)
{
Point3 t_pos, t_vel, orig_pos, orig_vel;
Matrix3 tm;
for (int b=0;b<parts[index].GetSprings()->length();b++)
{
if (parts[index].GetSpring(b)->GetPointConstraint()->GetIndex() < tmArray.Count())
{
tm = tmArray[parts[index].GetSpring(b)->GetPointConstraint()->index];
ComputeControlledParticleForce(tm, index, b); /* compute bone deriv used by ApplySpring */
}
}
Clear_Forces(index); /* zero the force accumulators */
Compute_Forces(t, index); /* magic force function */
ComputeDerivative(index, t_pos, t_vel); /* get deriv */
//ComputeDerivative(pIndex, t_pos, t_vel, Delta); /* get deriv */
ScaleVectors(t_pos, t_vel, Delta); /* scale it */
GetParticleState(index, orig_pos, orig_vel); /* get state */
AddVectors(orig_pos, orig_vel, t_pos, t_vel); /* add -> temp2 */
SetParticleState(index, t_pos, t_vel); /* update state */
}