/// <summary>
/// evaluation of DG field; may be used in derived classes to implement <see cref="DGField.Evaluate(int,int,NodeSet,MultidimensionalArray,int,double)"/>.
/// </summary>
protected static void EvaluateInternal(int j0, int L, NodeSet NS, Basis basis, MultidimensionalArray Coördinates, int coördOffset, MultidimensionalArray ResultAcc, double ResultPreScale)
{
int D, N, NumNodes;
bool AffineLinear;
CheckArgs(j0, L, NS, basis, Coördinates, ResultAcc, out D, out N, out NumNodes, out AffineLinear);
Debug.Assert(ResultAcc.Dimension == 2);
Debug.Assert(L == ResultAcc.GetLength(0));
Debug.Assert(NumNodes == ResultAcc.GetLength(1));
/*
* MultidimensionalArray BasisValues;
* BasisValues = basis.CellEval(NS, j0, L);
* Debug.Assert(BasisValues.GetLength(0) == L, "No. of. cells mismatch");
* Debug.Assert(BasisValues.GetLength(1) == M, "No. of. nodes mismatch");
* Debug.Assert(BasisValues.GetLength(2) == N, "No. of. basis elements mismatch");
*
* ResultAcc.Multiply(1.0, Coördinates, BasisValues, ResultPreScale, "jm", "jn", "jmn");
*/
//int[] geom2log = basis.GridDat.iGeomCells.GeomCell2LogicalCell;
MultidimensionalArray BasisValues = basis.Evaluate(NS);
if (L == 1 && AffineLinear)
{
// Special optimization for single-cell evaluation:
// this happens very often for edge quadrature, so it is quite relevant.
double scale0 = basis.GridDat.ChefBasis.Scaling[j0];
Debug.Assert(basis.GridDat.iGeomCells.GeomCell2LogicalCell == null || basis.GridDat.iGeomCells.GeomCell2LogicalCell[j0] == j0);
MultidimensionalArray Coördinates_j;
if (coördOffset == 0 && Coördinates.GetLength(0) == 1)
{
Coördinates_j = Coördinates;
}
else
{
Coördinates_j = Coördinates.ExtractSubArrayShallow(new int[] { coördOffset, 0 }, new int[] { coördOffset, N - 1 });
}
ResultAcc.Multiply(scale0, Coördinates_j, BasisValues, ResultPreScale, ref mp_jk_jm_km); //"jk", "jm", "km");
}
else
{
int iBuf;
MultidimensionalArray trfCoördinates = TempBuffer.GetTempMultidimensionalarray(out iBuf, L, N);
TransformCoördinates(j0, L, basis, Coördinates, coördOffset, N, AffineLinear, trfCoördinates);
if (ResultAcc.IsContinious && trfCoördinates.IsContinious && BasisValues.IsContinious)
{
unsafe
{
fixed(double *_pResultAcc = ResultAcc.Storage, _ptrfCoördinates = trfCoördinates.Storage, _pBasisValues = BasisValues.Storage)
{
double *pResultAcc = _pResultAcc + ResultAcc.Index(0, 0);
double *ptrfCoördinates = _ptrfCoördinates + trfCoördinates.Index(0, 0);
double *pBasisValues = _pBasisValues + BasisValues.Index(0, 0);
//#if DEBUG
// MultidimensionalArray check = ResultAcc.CloneAs();
//#endif
int _M = ResultAcc.GetLength(1); // entspricht k (node index)
int _N = ResultAcc.GetLength(0); // entspricht j (cell index)
int _K = BasisValues.GetLength(1); // entspricht m (DG mode index)
// NOTE: dimensions in FORTRAN order:
// pBasisValues : _K x _M
// ptrfCoördinates : _K x _N
// pResultAcc : _M x _N
//
// => FORTRAN GEMM
// pResultAcc = pBasisValues^T * ptrfCoördinates
int TRANSA = 'T';
int TRANSB = 'N';
BLAS.dgemm(TRANSA, TRANSB, _M, _N, _K,
1.0,
pBasisValues, _K,
ptrfCoördinates, _K,
ResultPreScale,
pResultAcc, _M);
//#if DEBUG
// check.Multiply(1.0, trfCoördinates, BasisValues, ResultPreScale, ref mp_jk_jm_km);
// check.Acc(-1.0, ResultAcc);
// double error = check.L2Norm();
// Console.WriteLine("GEMM error: " + error);
// Debug.Assert(error < 1.0);
//#endif
}
}
}
else
{
ResultAcc.Multiply(1.0, trfCoördinates, BasisValues, ResultPreScale, ref mp_jk_jm_km); //"jk", "jm", "km");
}
TempBuffer.FreeTempBuffer(iBuf);
}
}