static void RestictionMatrixTestRec(int p, IEnumerable <MultigridMapping> MgMapSeq)
{
var currentLevelMap = MgMapSeq.First();
AggregationGridBasis AggBasis = currentLevelMap.AggBasis[0];
var map = new UnsetteledCoordinateMapping(new Basis(grid, p));
Random rnd = new Random();
double[] OrigVec = map.LocalLength.ForLoop(i => rnd.NextDouble());
double[] RestVec = new double[AggBasis.LocalDim];
double[] PrlgVec = new double[OrigVec.Length];
double[] RestVec2 = new double[RestVec.Length];
double[] PrlgVec2 = new double[OrigVec.Length];
AggBasis.RestictFromFullGrid(OrigVec, RestVec);
AggBasis.ProlongateToFullGrid(PrlgVec, RestVec);
BlockMsrMatrix RestOp = new BlockMsrMatrix(MgMapSeq.First(), MgMapSeq.First().ProblemMapping);
AggBasis.GetRestrictionMatrix(RestOp, MgMapSeq.First(), 0);
RestOp.SpMV(1.0, OrigVec, 0.0, RestVec2);
BlockMsrMatrix PrlgOp = RestOp.Transpose();
PrlgOp.SpMV(1.0, RestVec2, 0.0, PrlgVec2);
double RestErrNorm = GenericBlas.L2Dist(RestVec2, RestVec);
double PrlgErrNorm = GenericBlas.L2Dist(PrlgVec2, PrlgVec);
double LostInfNorm = GenericBlas.L2Dist(OrigVec, PrlgVec2);
//Console.WriteLine("Rest. matrix test: {0}, Prolong. matrix test {1}, Lost info {2}", RestErrNorm, PrlgErrNorm, LostInfNorm);
Assert.IsTrue(RestErrNorm < 1.0e-10);
Assert.IsTrue(PrlgErrNorm < 1.0e-10);
// restriction onto level itself
BlockMsrMatrix RestMtx = currentLevelMap.FromOtherLevelMatrix(currentLevelMap);
BlockMsrMatrix ShldBeEye = BlockMsrMatrix.Multiply(RestMtx, RestMtx.Transpose());
ShldBeEye.AccEyeSp(-1.0);
double errNorm = ShldBeEye.InfNorm();
Console.WriteLine("Id norm {0} \t (level {1})", errNorm, currentLevelMap.AggGrid.MgLevel);
Assert.IsTrue(errNorm < 1.0e-8);
// recursion
if (MgMapSeq.Count() > 1)
{
RestictionMatrixTestRec(p, MgMapSeq.Skip(1));
}
}
static void RestictionMatrixTestRec(int p, IEnumerable <MultigridMapping> MgMapSeq)
{
AggregationGridBasis AggBasis = MgMapSeq.First().AggBasis[0];
var map = new UnsetteledCoordinateMapping(new Basis(grid, p));
Random rnd = new Random();
double[] OrigVec = map.LocalLength.ForLoop(i => rnd.NextDouble());
double[] RestVec = new double[AggBasis.LocalDim];
double[] PrlgVec = new double[OrigVec.Length];
double[] RestVec2 = new double[RestVec.Length];
double[] PrlgVec2 = new double[OrigVec.Length];
AggBasis.RestictFromFullGrid(OrigVec, RestVec);
AggBasis.ProlongateToFullGrid(PrlgVec, RestVec);
BlockMsrMatrix RestOp = new BlockMsrMatrix(MgMapSeq.First(), MgMapSeq.First().ProblemMapping);
AggBasis.GetRestrictionMatrix(RestOp, MgMapSeq.First(), 0);
RestOp.SpMV(1.0, OrigVec, 0.0, RestVec2);
BlockMsrMatrix PrlgOp = RestOp.Transpose();
PrlgOp.SpMV(1.0, RestVec2, 0.0, PrlgVec2);
double RestErrNorm = GenericBlas.L2Dist(RestVec2, RestVec);
double PrlgErrNorm = GenericBlas.L2Dist(PrlgVec2, PrlgVec);
double LostInfNorm = GenericBlas.L2Dist(OrigVec, PrlgVec2);
//Console.WriteLine("Rest. matrix test: {0}, Prolong. matrix test {1}, Lost info {2}", RestErrNorm, PrlgErrNorm, LostInfNorm);
Debug.Assert(RestErrNorm < 1.0e-10);
Debug.Assert(PrlgErrNorm < 1.0e-10);
if (MgMapSeq.Count() > 1)
{
RestictionMatrixTestRec(p, MgMapSeq.Skip(1));
}
}
