public SkylineMatrix BuildGlobalMatrix(ISubdomainFreeDofOrdering dofOrdering, IEnumerable <IElement> elements,
IElementMatrixProvider matrixProvider)
{
if (!areIndexersCached)
{
skylineBuilder = SkylineBuilder.Create(dofOrdering.NumFreeDofs,
FindSkylineColumnHeights(elements, dofOrdering.NumFreeDofs, dofOrdering.FreeDofs));
areIndexersCached = true;
}
else
{
skylineBuilder.ClearValues();
}
foreach (IElement element in elements)
{
//if (element.ID != 2) continue;
// TODO: perhaps that could be done and cached during the dof enumeration to avoid iterating over the dofs twice
(int[] elementDofIndices, int[] subdomainDofIndices) = dofOrdering.MapFreeDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
skylineBuilder.AddSubmatrixSymmetric(elementMatrix, elementDofIndices, subdomainDofIndices);
}
//// Print matrix
//var writer = new LinearAlgebra.Output.FullMatrixWriter();
////writer.NumericFormat = new FixedPointFormat() { NumDecimalDigits = 2 };
//writer.ArrayFormat = new LinearAlgebra.Output.Formatting.Array2DFormat("", "", "", "\n", ",");
//writer.WriteToFile(skylineBuilder.BuildSkylineMatrix()/*.DoToAllEntries(x => Math.Round(x * 1E-6, 3))*/, @"C:\Users\Serafeim\Desktop\xfem.txt");
return(skylineBuilder.BuildSkylineMatrix());
}
IMatrixView matrixConstrConstr) BuildGlobalSubmatrices(
ISubdomainFreeDofOrdering freeDofOrdering, ISubdomainConstrainedDofOrdering constrainedDofOrdering,
IEnumerable <IElement> elements, IElementMatrixProvider matrixProvider)
{
int numFreeDofs = freeDofOrdering.NumFreeDofs;
var subdomainMatrix = Matrix.CreateZero(numFreeDofs, numFreeDofs);
//TODO: also reuse the indexers of the constrained matrices.
constrainedAssembler.InitializeNewMatrices(freeDofOrdering.NumFreeDofs, constrainedDofOrdering.NumConstrainedDofs);
// Process the stiffness of each element
foreach (IElement element in elements)
{
(int[] elementDofsFree, int[] subdomainDofsFree) = freeDofOrdering.MapFreeDofsElementToSubdomain(element);
//IReadOnlyDictionary<int, int> elementToGlobalDofs = dofOrdering.MapFreeDofsElementToSubdomain(element);
(int[] elementDofsConstrained, int[] subdomainDofsConstrained) =
constrainedDofOrdering.MapConstrainedDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
AddElementToGlobalMatrix(subdomainMatrix, elementMatrix, elementDofsFree, subdomainDofsFree);
constrainedAssembler.AddElementMatrix(elementMatrix, elementDofsFree, subdomainDofsFree,
elementDofsConstrained, subdomainDofsConstrained);
}
(CsrMatrix matrixConstrFree, CsrMatrix matrixConstrConstr) = constrainedAssembler.BuildMatrices();
return(subdomainMatrix, matrixConstrFree.TransposeToCSC(false), matrixConstrFree, matrixConstrConstr);
}
public Dictionary <int, IMatrix> BuildGlobalMatrices(IElementMatrixProvider elementMatrixProvider)
{
HandleMatrixWillBeSet(); //TODO: temporary solution to avoid this getting called once for each linear system/observable
var watch = new Stopwatch();
watch.Start();
var matrices = new Dictionary <int, IMatrix>();
foreach (ISubdomain subdomain in model.Subdomains) //TODO: this must be done in parallel
{
int s = subdomain.ID;
IMatrix Kff;
if (subdomain.StiffnessModified)
{
Debug.WriteLine($"{this.GetType().Name}: Assembling the free-free stiffness matrix of subdomain {s}");
Kff = matrixManagers[s].BuildGlobalMatrix(subdomain.FreeDofOrdering,
subdomain.Elements, elementMatrixProvider);
linearSystems[s].Matrix = Kff; //TODO: This should be done by the solver not the analyzer. This method should return void.
}
else
{
Kff = (IMatrix)(linearSystems[s].Matrix); //TODO: remove the cast
}
matrices[s] = Kff;
}
watch.Stop();
Logger.LogTaskDuration("Matrix assembly", watch.ElapsedMilliseconds);
this.Initialize(); //TODO: Should this be called by the analyzer? Probably not, since it must be called before DistributeBoundaryLoads().
return(matrices);
}
public CsrMatrix BuildGlobalMatrix(ISubdomainFreeDofOrdering dofOrdering, IEnumerable <IElement> elements,
IElementMatrixProvider matrixProvider)
{
int numFreeDofs = dofOrdering.NumFreeDofs;
var subdomainMatrix = DokRowMajor.CreateEmpty(numFreeDofs, numFreeDofs);
foreach (IElement element in elements)
{
(int[] elementDofIndices, int[] subdomainDofIndices) = dofOrdering.MapFreeDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
subdomainMatrix.AddSubmatrixSymmetric(elementMatrix, elementDofIndices, subdomainDofIndices);
}
(double[] values, int[] colIndices, int[] rowOffsets) = subdomainMatrix.BuildCsrArrays(sortColsOfEachRow);
if (!isIndexerCached)
{
cachedColIndices = colIndices;
cachedRowOffsets = rowOffsets;
isIndexerCached = true;
}
else
{
Debug.Assert(Utilities.AreEqual(cachedColIndices, colIndices));
Debug.Assert(Utilities.AreEqual(cachedRowOffsets, rowOffsets));
}
return(CsrMatrix.CreateFromArrays(numFreeDofs, numFreeDofs, values, cachedColIndices, cachedRowOffsets, false));
}
public SymmetricCscMatrix BuildGlobalMatrix(ISubdomainFreeDofOrdering dofOrdering, IEnumerable <IElement> elements,
IElementMatrixProvider matrixProvider)
{
int numFreeDofs = dofOrdering.NumFreeDofs;
var subdomainMatrix = DokSymmetric.CreateEmpty(numFreeDofs);
foreach (IElement element in elements)
{
// TODO: perhaps that could be done and cached during the dof enumeration to avoid iterating over the dofs twice
(int[] elementDofIndices, int[] subdomainDofIndices) = dofOrdering.MapFreeDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
subdomainMatrix.AddSubmatrixSymmetric(elementMatrix, elementDofIndices, subdomainDofIndices);
}
(double[] values, int[] rowIndices, int[] colOffsets) = subdomainMatrix.BuildSymmetricCscArrays(sortColsOfEachRow);
if (!isIndexerCached)
{
cachedRowIndices = rowIndices;
cachedColOffsets = colOffsets;
isIndexerCached = true;
}
else
{
Debug.Assert(Utilities.AreEqual(cachedRowIndices, rowIndices));
Debug.Assert(Utilities.AreEqual(cachedColOffsets, colOffsets));
}
return(SymmetricCscMatrix.CreateFromArrays(numFreeDofs, values, cachedRowIndices, cachedColOffsets, false));
}
public override Dictionary <int, IMatrix> BuildGlobalMatrices(IElementMatrixProvider elementMatrixProvider)
{
#region Code to facilitate debugging
//var writer = new FullMatrixWriter();
//writer.NumericFormat = new ExponentialFormat() { NumDecimalDigits = 2 };
//var dofOrderingSimple = (new SimpleDofOrderer()).OrderDofs(model, subdomain);
//Matrix simpleOrderK = (Matrix)assembler.BuildGlobalMatrix(
// dofOrderingSimple, subdomain.Elements, elementMatrixProvider);
//Console.WriteLine();
//Console.WriteLine("Global matrix with simple ordering");
//writer.WriteToConsole(simpleOrderK);
//var dofOrderingNodeMajor = (new NodeMajorDofOrderer()).OrderDofs(model, subdomain);
//Matrix nodeMajorK = (Matrix)assembler.BuildGlobalMatrix(
// dofOrderingNodeMajor, subdomain.Elements, elementMatrixProvider);
//Console.WriteLine();
//Console.WriteLine("Global matrix with node major ordering");
//writer.WriteToConsole(nodeMajorK);
//var permutationNodeMajorToSimple = new int[dofOrderingNodeMajor.NumFreeDofs];
//foreach ((INode node, DOFType dofType, int nodeMajorIdx) in dofOrderingNodeMajor.FreeDofs)
//{
// permutationNodeMajorToSimple[nodeMajorIdx] = dofOrderingSimple.FreeDofs[node, dofType];
//}
//Matrix reorderedK = nodeMajorK.Reorder(permutationNodeMajorToSimple, true);
//Console.WriteLine();
//Console.WriteLine("Global matrix with node major ordering, reordered to simple");
//writer.WriteToConsole(reorderedK);
//Console.WriteLine("Existing global dof enumeration:");
//Utilities.PrintDofOrder(subdomain);
//Console.WriteLine();
//Console.WriteLine("Using dof orderer:");
//Console.WriteLine(dofOrderer.FreeDofs.ToString());
//Console.WriteLine();
//Console.WriteLine("Global matrix");
//SkylineMatrix matrix = assembler.BuildGlobalMatrix(dofOrderer, subdomain.ΙElementsDictionary.Values, elementMatrixProvider);
//var writer = new FullMatrixWriter();
//writer.NumericFormat = new ExponentialFormat() { NumDecimalDigits = 2 };
//writer.WriteToConsole(matrix);
#endregion
var watch = new Stopwatch();
watch.Start();
Matrix matrix = assembler.BuildGlobalMatrix(subdomain.FreeDofOrdering, subdomain.Elements, elementMatrixProvider);
watch.Stop();
Logger.LogTaskDuration("Matrix assembly", watch.ElapsedMilliseconds);
return(new Dictionary <int, IMatrix> {
{ subdomain.ID, matrix }
});
}
matrixConstrConstr) BuildGlobalSubmatrices(ISubdomainFreeDofOrdering freeDofRowOrdering,
ISubdomainFreeDofOrdering freeDofColOrdering,
ISubdomainConstrainedDofOrdering constrainedDofRowOrdering,
ISubdomainConstrainedDofOrdering constrainedDofColOrdering, IEnumerable <IElement> elements,
IElementMatrixProvider matrixProvider)
{
int numFreeRowDofs = freeDofRowOrdering.NumFreeDofs;
int numFreeColDofs = freeDofColOrdering.NumFreeDofs;
var subdomainMatrix = DokRowMajor.CreateEmpty(numFreeRowDofs, numFreeColDofs);
constrainedAssembler.InitializeNewMatrices(freeDofRowOrdering.NumFreeDofs,
constrainedDofRowOrdering.NumConstrainedDofs);
foreach (var element in elements)
{
(int[] elementRowDofsFree, int[] subdomainRowDofsFree) =
freeDofRowOrdering.MapFreeDofsElementToSubdomain(element);
(int[] elementColDofsFree, int[] subdomainColDofsFree) =
freeDofColOrdering.MapFreeDofsElementToSubdomain(element);
(int[] elementRowDofsConstrained, int[] subdomainRowDofsConstrained) =
constrainedDofRowOrdering.MapConstrainedDofsElementToSubdomain(element);
(int[] elementColDofsConstrained, int[] subdomainColDofsConstrained) =
constrainedDofColOrdering.MapConstrainedDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
subdomainMatrix.AddSubmatrix(elementMatrix, elementRowDofsFree, subdomainRowDofsFree,
elementColDofsFree, subdomainColDofsFree);
constrainedAssembler.AddElementMatrix(elementMatrix, elementRowDofsFree, subdomainRowDofsFree,
elementRowDofsConstrained, subdomainRowDofsConstrained); //TODO: check validity
}
(double[] values, int[] colIndices, int[] rowOffsets) = subdomainMatrix.BuildCsrArrays(sortColsOfEachRow);
if (!isIndexerCached)
{
cachedColIndices = colIndices;
cachedRowOffsets = rowOffsets;
isIndexerCached = true;
}
else
{
Debug.Assert(Utilities.AreEqual(cachedColIndices, colIndices));
Debug.Assert(Utilities.AreEqual(cachedRowOffsets, rowOffsets));
}
subdomainMatrix = null;
var matrixFreeFree =
CsrMatrix.CreateFromArrays(numFreeRowDofs, numFreeColDofs, values, cachedColIndices, cachedRowOffsets,
false);
(CsrMatrix matrixConstrFree, CsrMatrix matrixConstrConstr) =
constrainedAssembler.BuildMatrices(); // TODO: see if this work
return(matrixFreeFree, matrixConstrFree, matrixConstrFree.TransposeToCSC(false), matrixConstrConstr);
}
public static double[] CalculateFppReactionsVector(Subdomain subdomain, IElementMatrixProvider elementProvider,
IScaleTransitions scaleTransitions, Dictionary <int, INode> boundaryNodes, IVectorView solution, IVectorView dSolution,
Dictionary <int, Dictionary <IDofType, double> > initialConvergedBoundaryDisplacements, Dictionary <int, Dictionary <IDofType, double> > totalBoundaryDisplacements,
int nIncrement, int totalIncrements)
{
//TODOGerasimos: 1) Subdomain2 einai h upo kataskevh subdomain.cs ths Marias gia na mporoume na anaferthoume sthn methodo ths CalculateElementNodalDisplacements(..,..).
// Otan parei telikh morfh tha taftizetai me thn Subdomain.cs
// 2)IVector solution, IVector dSolution EINAI AFTA ME TA OPOIA kaloume thn GetRHSFromSolution sthn 213 tou NRNLAnalyzer
double[] FppReactionVector;
Dictionary <int, int> boundaryNodesOrder = GetNodesOrderInDictionary(boundaryNodes);
FppReactionVector = new double[boundaryNodesOrder.Count * scaleTransitions.PrescribedDofsPerNode()]; // h allliws subdomain.Forces.GetLength(0)
var times = new Dictionary <string, TimeSpan>();
var totalStart = DateTime.Now;
times.Add("rowIndexCalculation", DateTime.Now - totalStart);
times.Add("element", TimeSpan.Zero);
times.Add("addition", TimeSpan.Zero);
foreach (Element element in subdomain.Elements)
{
var isEmbeddedElement = element.ElementType is IEmbeddedElement;
var elStart = DateTime.Now;
//IMatrix2D ElementK = elementProvider.Matrix(element);
var localSolution = subdomain.GetLocalVectorFromGlobalWithoutPrescribedDisplacements(element, solution);
subdomain.ImposePrescribedDisplacementsWithInitialConditionSEffect(element, localSolution, boundaryNodes, initialConvergedBoundaryDisplacements, totalBoundaryDisplacements, nIncrement, totalIncrements);
double[] localdSolution = subdomain.GetLocalVectorFromGlobalWithoutPrescribedDisplacements(element, dSolution);
double[] f = element.ElementType.CalculateForces(element, localSolution, localdSolution);
times["element"] += DateTime.Now - elStart;
elStart = DateTime.Now;
var elementDOFTypes = element.ElementType.DofEnumerator.GetDofTypesForMatrixAssembly(element);
var matrixAssemblyNodes = element.ElementType.DofEnumerator.GetNodesForMatrixAssembly(element);
int iElementMatrixRow = 0;
for (int i = 0; i < elementDOFTypes.Count; i++)
{
INode nodeRow = matrixAssemblyNodes[i];
if (boundaryNodes.ContainsKey(nodeRow.ID))
{
for (int i1 = 0; i1 < scaleTransitions.PrescribedDofsPerNode(); i1++)
{
int dofrow_p = scaleTransitions.PrescribedDofsPerNode() * (boundaryNodesOrder[nodeRow.ID] - 1) + i1;
FppReactionVector[dofrow_p] += f[iElementMatrixRow + i1];
}
}
iElementMatrixRow += elementDOFTypes[i].Count;
}
times["addition"] += DateTime.Now - elStart;
}
var totalTime = DateTime.Now - totalStart;
return(FppReactionVector);
}
public virtual Dictionary <int, IMatrix> BuildGlobalMatrices(IElementMatrixProvider elementMatrixProvider)
{
var watch = new Stopwatch();
watch.Start();
TMatrix matrix = assembler.BuildGlobalMatrix(subdomain.FreeDofOrdering, subdomain.Elements, elementMatrixProvider);
watch.Stop();
Logger.LogTaskDuration("Matrix assembly", watch.ElapsedMilliseconds);
return(new Dictionary <int, IMatrix> {
{ subdomain.ID, matrix }
});
}
IMatrixView matrixConstrConstr) BuildGlobalSubmatrices(
ISubdomainFreeDofOrdering freeDofOrdering, ISubdomainConstrainedDofOrdering constrainedDofOrdering,
IEnumerable <IElement> elements, IElementMatrixProvider matrixProvider)
{
int numFreeDofs = freeDofOrdering.NumFreeDofs;
var subdomainMatrix = DokSymmetric.CreateEmpty(numFreeDofs);
//TODO: also reuse the indexers of the constrained matrices.
constrainedAssembler.InitializeNewMatrices(freeDofOrdering.NumFreeDofs, constrainedDofOrdering.NumConstrainedDofs);
// Process the stiffness of each element
foreach (IElement element in elements)
{
// TODO: perhaps that could be done and cached during the dof enumeration to avoid iterating over the dofs twice
(int[] elementDofsFree, int[] subdomainDofsFree) = freeDofOrdering.MapFreeDofsElementToSubdomain(element);
(int[] elementDofsConstrained, int[] subdomainDofsConstrained) =
constrainedDofOrdering.MapConstrainedDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
subdomainMatrix.AddSubmatrixSymmetric(elementMatrix, elementDofsFree, subdomainDofsFree);
constrainedAssembler.AddElementMatrix(elementMatrix, elementDofsFree, subdomainDofsFree,
elementDofsConstrained, subdomainDofsConstrained);
}
// Create and cache the CSC arrays for the free dofs.
(double[] values, int[] rowIndices, int[] colOffsets) = subdomainMatrix.BuildSymmetricCscArrays(sortColsOfEachRow);
if (!isIndexerCached)
{
cachedRowIndices = rowIndices;
cachedColOffsets = colOffsets;
isIndexerCached = true;
}
else
{
Debug.Assert(Utilities.AreEqual(cachedRowIndices, rowIndices));
Debug.Assert(Utilities.AreEqual(cachedColOffsets, colOffsets));
}
// Create the free and constrained matrices.
subdomainMatrix = null; // Let the DOK be garbaged collected early, in case there isn't sufficient memory.
var matrixFreeFree =
SymmetricCscMatrix.CreateFromArrays(numFreeDofs, values, cachedRowIndices, cachedColOffsets, false);
(CsrMatrix matrixConstrFree, CsrMatrix matrixConstrConstr) = constrainedAssembler.BuildMatrices();
return(matrixFreeFree, matrixConstrFree.TransposeToCSC(false), matrixConstrFree, matrixConstrConstr);
}
public Matrix BuildGlobalMatrix(ISubdomainFreeDofOrdering dofOrdering, IEnumerable <IElement> elements,
IElementMatrixProvider elementMatrixProvider)
{
int numFreeDofs = dofOrdering.NumFreeDofs;
var subdomainMatrix = Matrix.CreateZero(numFreeDofs, numFreeDofs);
// Process the stiffness of each element
foreach (IElement element in elements)
{
// TODO: perhaps that could be done and cached during the dof enumeration to avoid iterating over the dofs twice
(int[] elementDofIndices, int[] subdomainDofIndices) = dofOrdering.MapFreeDofsElementToSubdomain(element);
//IReadOnlyDictionary<int, int> elementToGlobalDofs = dofOrdering.MapFreeDofsElementToSubdomain(element);
IMatrix elementMatrix = elementMatrixProvider.Matrix(element);
AddElementToGlobalMatrix(subdomainMatrix, elementMatrix, elementDofIndices, subdomainDofIndices);
}
return(subdomainMatrix);
}
IMatrixView matrixConstrConstr) BuildGlobalSubmatrices(
ISubdomainFreeDofOrdering freeDofOrdering, ISubdomainConstrainedDofOrdering constrainedDofOrdering,
IEnumerable <IElement> elements, IElementMatrixProvider matrixProvider)
{
if (!areIndexersCached)
{
skylineBuilder = SkylineBuilder.Create(freeDofOrdering.NumFreeDofs,
FindSkylineColumnHeights(elements, freeDofOrdering.NumFreeDofs, freeDofOrdering.FreeDofs));
areIndexersCached = true;
}
else
{
skylineBuilder.ClearValues();
}
//TODO: also reuse the indexers of the constrained matrices.
constrainedAssembler.InitializeNewMatrices(freeDofOrdering.NumFreeDofs, constrainedDofOrdering.NumConstrainedDofs);
// Process the stiffness of each element
foreach (IElement element in elements)
{
// TODO: perhaps that could be done and cached during the dof enumeration to avoid iterating over the dofs twice
(int[] elementDofsFree, int[] subdomainDofsFree) = freeDofOrdering.MapFreeDofsElementToSubdomain(element);
(int[] elementDofsConstrained, int[] subdomainDofsConstrained) =
constrainedDofOrdering.MapConstrainedDofsElementToSubdomain(element);
IMatrix elementMatrix = matrixProvider.Matrix(element);
skylineBuilder.AddSubmatrixSymmetric(elementMatrix, elementDofsFree, subdomainDofsFree);
constrainedAssembler.AddElementMatrix(elementMatrix, elementDofsFree, subdomainDofsFree,
elementDofsConstrained, subdomainDofsConstrained);
}
// Create the free and constrained matrices.
SkylineMatrix matrixFreeFree = skylineBuilder.BuildSkylineMatrix();
(CsrMatrix matrixConstrFree, CsrMatrix matrixConstrConstr) = constrainedAssembler.BuildMatrices();
return(matrixFreeFree, matrixConstrFree.TransposeToCSC(false), matrixConstrFree, matrixConstrConstr);
}
public (IMatrix Kff, IMatrixView Kfc, IMatrixView Kcf, IMatrixView Kcc) BuildGlobalSubmatrices(
ISubdomainFreeDofOrdering freeDofOrdering, ISubdomainConstrainedDofOrdering constrainedDofOrdering,
IEnumerable <IElement> elements, IElementMatrixProvider matrixProvider)
=> assembler.BuildGlobalSubmatrices(freeDofOrdering, constrainedDofOrdering, elements, matrixProvider);
public IMatrix BuildGlobalMatrix(ISubdomainFreeDofOrdering dofOrdering, IEnumerable <IElement> elements,
IElementMatrixProvider matrixProvider)
=> assembler.BuildGlobalMatrix(dofOrdering, elements, matrixProvider);
public ElementPoreMassProvider(IElementMatrixProvider solidMassProvider, double massCoefficient)
{
this.solidMassProvider = solidMassProvider;
this.massCoefficient = massCoefficient;
}
IMatrixView matrixConstrConstr)> BuildGlobalSubmatrices(IElementMatrixProvider elementMatrixProvider)
{
HandleMatrixWillBeSet(); //TODO: temporary solution to avoid this getting called once for each linear system/observable
var watch = new Stopwatch();
watch.Start();
var matrices = new Dictionary <int, (IMatrix Aff, IMatrixView Afc, IMatrixView Acf, IMatrixView Acc)>();
foreach (ISubdomain subdomain in model.Subdomains) //TODO: this must be done in parallel
{
int s = subdomain.ID;
if (!subdomain.StiffnessModified)
{
throw new NotImplementedException("This optimization is not implemented");
}
if (subdomain.ConstrainedDofOrdering == null)
{
throw new InvalidOperationException("In order to build the matrices corresponding to constrained dofs of,"
+ $" subdomain {s}, they must have been ordered first.");
}
(IMatrix Kff, IMatrixView Kfc, IMatrixView Kcf, IMatrixView Kcc) =
matrixManagers[s].BuildGlobalSubmatrices(subdomain.FreeDofOrdering,
subdomain.ConstrainedDofOrdering, subdomain.Elements, elementMatrixProvider);
matrices[s] = (Kff, Kfc, Kcf, Kcc);
linearSystems[s].Matrix = Kff; //TODO: This should be done by the solver not the analyzer. This method should return void.
}
watch.Stop();
Logger.LogTaskDuration("Matrix assembly", watch.ElapsedMilliseconds);
this.Initialize(); //TODO: Should this be called by the analyzer? Probably not, since it must be called before DistributeBoundaryLoads().
return(matrices);
}
//private static int[] CalculateRowIndex(Subdomain subdomain)
//{
// return CalculateRowIndex(subdomain, subdomain.NodalDOFsDictionary);
//}
public static SkylineMatrix2D <double> CalculateGlobalMatrix(Subdomain subdomain, Dictionary <int, Dictionary <DOFType, int> > nodalDOFsDictionary, IElementMatrixProvider elementProvider)
{
// TODO: should encapsulate DOF logic into a separate entity that will manage things if embedded or not (should return element matrix and globaldofs correspondence list
var times = new Dictionary <string, TimeSpan>();
var totalStart = DateTime.Now;
SkylineMatrix2D <double> K = new SkylineMatrix2D <double>(GlobalMatrixAssemblerSkyline.CalculateRowIndex(subdomain, nodalDOFsDictionary));
times.Add("rowIndexCalculation", DateTime.Now - totalStart);
times.Add("element", TimeSpan.Zero);
times.Add("addition", TimeSpan.Zero);
foreach (Element element in subdomain.ElementsDictionary.Values)
{
var isEmbeddedElement = element.ElementType is IEmbeddedElement;
var elStart = DateTime.Now;
IMatrix2D <double> ElementK = elementProvider.Matrix(element);
times["element"] += DateTime.Now - elStart;
elStart = DateTime.Now;
var elementDOFTypes = element.ElementType.DOFEnumerator.GetDOFTypes(element);
var matrixAssemblyNodes = element.ElementType.DOFEnumerator.GetNodesForMatrixAssembly(element);
int iElementMatrixRow = 0;
for (int i = 0; i < elementDOFTypes.Count; i++)
{
Node nodeRow = matrixAssemblyNodes[i];
foreach (DOFType dofTypeRow in elementDOFTypes[i])
{
int dofRow = nodalDOFsDictionary.ContainsKey(nodeRow.ID) == false && isEmbeddedElement ? -1 : nodalDOFsDictionary[nodeRow.ID][dofTypeRow];
if (dofRow != -1)
{
int iElementMatrixColumn = 0;
for (int j = 0; j < elementDOFTypes.Count; j++)
{
Node nodeColumn = matrixAssemblyNodes[j];
foreach (DOFType dofTypeColumn in elementDOFTypes[j])
{
int dofColumn = nodalDOFsDictionary.ContainsKey(nodeColumn.ID) == false && isEmbeddedElement ? -1 : nodalDOFsDictionary[nodeColumn.ID][dofTypeColumn];
if (dofColumn != -1)
{
int height = dofRow - dofColumn;
if (height >= 0)
{
K.Data[K.RowIndex[dofRow] + height] += ElementK[iElementMatrixRow, iElementMatrixColumn];
}
}
iElementMatrixColumn++;
}
}
}
iElementMatrixRow++;
}
}
times["addition"] += DateTime.Now - elStart;
}
var totalTime = DateTime.Now - totalStart;
return(K);
}
public static double[][] CalculateKpfKffinverseKfpDq(double[][] f2_vectors, Subdomain subdomain, IElementMatrixProvider elementProvider, IScaleTransitions scaleTransitions, Dictionary <int, INode> boundaryNodes)
{
var dofOrdering = subdomain.FreeDofOrdering; //.1
var FreeDofs = subdomain.FreeDofOrdering.FreeDofs; //.1Dictionary<int, Dictionary<DOFType, int>> nodalDOFsDictionary = subdomain.NodalDOFsDictionary;
double[][] f3_vectors = new double[f2_vectors.GetLength(0)][];
for (int i1 = 0; i1 < f2_vectors.GetLength(0); i1++)
{
f3_vectors[i1] = new double[scaleTransitions.PrescribedDofsPerNode() * boundaryNodes.Count];
}
Dictionary <int, int> boundaryNodesOrder = GetNodesOrderInDictionary(boundaryNodes);
var times = new Dictionary <string, TimeSpan>();
var totalStart = DateTime.Now;
times.Add("rowIndexCalculation", DateTime.Now - totalStart);
times.Add("element", TimeSpan.Zero);
times.Add("addition", TimeSpan.Zero);
foreach (Element element in subdomain.Elements) //.3 ElementsDictionary.Values)
{
var isEmbeddedElement = element.ElementType is IEmbeddedElement;
var elStart = DateTime.Now;
IMatrix ElementK = elementProvider.Matrix(element);
times["element"] += DateTime.Now - elStart;
elStart = DateTime.Now;
var elementDOFTypes = element.ElementType.DofEnumerator.GetDofTypesForMatrixAssembly(element);
var matrixAssemblyNodes = element.ElementType.DofEnumerator.GetNodesForMatrixAssembly(element);
int iElementMatrixRow = 0;
for (int i = 0; i < elementDOFTypes.Count; i++)
{
INode nodeRow = matrixAssemblyNodes[i];
if (boundaryNodes.ContainsKey(nodeRow.ID))
{
for (int i1 = 0; i1 < scaleTransitions.PrescribedDofsPerNode(); i1++)
{
int dofrow_p = scaleTransitions.PrescribedDofsPerNode() * (boundaryNodesOrder[nodeRow.ID] - 1) + i1;
int iElementMatrixColumn = 0;
for (int j = 0; j < elementDOFTypes.Count; j++)
{
INode nodeColumn = matrixAssemblyNodes[j];
int dofTypeColumnToNumber = -1;
foreach (IDofType dofTypeColumn in elementDOFTypes[j])
{
dofTypeColumnToNumber++;
bool isFree = FreeDofs.TryGetValue(matrixAssemblyNodes[j], elementDOFTypes[j][dofTypeColumnToNumber],
out int dofColumn); // v2.4 int dofColumn = nodalDOFsDictionary.ContainsKey(nodeColumn.ID) == false && isEmbeddedElement ? -1 : nodalDOFsDictionary[nodeColumn.ID][dofTypeColumn];
if (isFree) // TODOGerasimos edw pithanws thelei kai elegxo alliws an den ta exoume afhsei constrained ta p kai einai elefthera px me to an anhkoun sto baoundary nodes
{ // alla etsi einai oti akrivws thewritai kai sto assembly tou Kff opote ok
for (int i2 = 0; i2 < f2_vectors.GetLength(0); i2++)
{
f3_vectors[i2][dofrow_p] += ElementK[iElementMatrixRow + i1, iElementMatrixColumn] * f2_vectors[i2][dofColumn];
}
}
iElementMatrixColumn++;
}
}
}
}
iElementMatrixRow += elementDOFTypes[i].Count;
}
times["addition"] += DateTime.Now - elStart;
}
var totalTime = DateTime.Now - totalStart;
return(f3_vectors);
}
public static Dictionary <int, double[][]> CalculateKpfKffinverseKfpDqSubdomains(Dictionary <int, double[][]> f2_vectorsSubdomains, Model model, IElementMatrixProvider elementProvider, IScaleTransitions scaleTransitions, Dictionary <int, Node> boundaryNodes)
{
Dictionary <int, double[][]> f3_vectorsSubdomains = new Dictionary <int, double[][]>();
foreach (Subdomain subdomain in model.Subdomains)
{
f3_vectorsSubdomains.Add(subdomain.ID, SubdomainCalculations.CalculateKpfKffinverseKfpDq(f2_vectorsSubdomains[subdomain.ID], subdomain, elementProvider, scaleTransitions, boundaryNodes));
}
return(f3_vectorsSubdomains);
}
//int currentSubdomainID;
public (Dictionary <int, double[][]>, Dictionary <int, double[][]>) UpdateSubdomainKffAndCalculateKfpDqAndKppDqpMultipleObje(Model model, IElementMatrixProvider elementProvider, IScaleTransitions scaleTransitions,
Dictionary <int, Node> boundaryNodes, Dictionary <int, Dictionary <int, Element> > boundaryElements, ISolver solver)
{
IReadOnlyDictionary <int, ILinearSystem> linearSystems = solver.LinearSystems; //v2.3
Dictionary <int, double[][]> KfpDqSubdomains = new Dictionary <int, double[][]>(model.SubdomainsDictionary.Count);
Dictionary <int, double[][]> KppDqVectorsSubdomains = new Dictionary <int, double[][]>(model.SubdomainsDictionary.Count);
this.boundaryElements = boundaryElements;
this.boundaryNodes = boundaryNodes;
this.scaleTransitions = scaleTransitions;
KfpDqVectors = new Dictionary <int, double[][]>(model.SubdomainsDictionary.Count);
KppDqVectors = new Dictionary <int, double[][]>(model.SubdomainsDictionary.Count);
foreach (Subdomain subdomain in model.Subdomains)
{
#region Create KfpDq and KppDq vectors
KfpDqVectors[subdomain.ID] = new double[scaleTransitions.MacroscaleVariableDimension()][];
for (int j1 = 0; j1 < scaleTransitions.MacroscaleVariableDimension(); j1++)
{
KfpDqVectors[subdomain.ID][j1] = new double[subdomain.FreeDofOrdering.NumFreeDofs]; //v2.2 subdomain.TotalDOFs];
}
KppDqVectors[subdomain.ID] = new double[scaleTransitions.MacroscaleVariableDimension()][];
boundaryNodesOrder = SubdomainCalculations.GetNodesOrderInDictionary(boundaryNodes);
for (int j1 = 0; j1 < scaleTransitions.MacroscaleVariableDimension(); j1++)
{
KppDqVectors[subdomain.ID][j1] = new double[boundaryNodesOrder.Count * scaleTransitions.PrescribedDofsPerNode()]; // h allliws subdomain.Forces.GetLength(0)
}
#endregion
}
var StiffnessProvider = new StiffnessProviderSimu(this);
Dictionary <int, IMatrix> subdomainKs = solver.BuildGlobalMatrices(StiffnessProvider);
foreach (Subdomain subdomain in model.Subdomains)
{
//dofOrdering = subdomain.FreeDofOrdering; //.1
//FreeDofs = subdomain.FreeDofOrdering.FreeDofs;//.1 nodalDOFsDictionary = subdomain.NodalDOFsDictionary;
//currentSubdomainID = subdomain.ID;
//v2.4 var subdomainK= GlobalMatrixAssemblerSkyline.CalculateFreeFreeGlobalMatrix(subdomain, StiffnessProvider);
linearSystems[subdomain.ID].Matrix = subdomainKs[subdomain.ID];
//v2.5 linearSystems[subdomain.ID].Matrix = subdomainK;
KfpDqSubdomains.Add(subdomain.ID, KfpDqVectors[subdomain.ID]);
KppDqVectorsSubdomains.Add(subdomain.ID, KppDqVectors[subdomain.ID]);
}
return(KfpDqSubdomains, KppDqVectorsSubdomains);
}
/// <summary>
/// ELEMENT provider tha perastei profanws o ElementStructuralStiffnessProvider elementProvider = new ElementStructuralStiffnessProvider();
/// kai subdomain prosoxh sta ID idia me ta linearsystems
/// </summary>
/// <param name="subdomain"></param>
/// <param name="elementProvider"></param>
public EquivalentContributionsAssebler(Subdomain subdomain, IElementMatrixProvider elementProvider)
{
this.subdomain = subdomain;
this.elementProvider = elementProvider;
}
public ElementPoreStiffnessProvider(IElementMatrixProvider solidStiffnessProvider, double stiffnessCoefficient)
{
this.solidStiffnessProvider = solidStiffnessProvider;
this.stiffnessCoefficient = stiffnessCoefficient;
}
private IElementMatrixProvider elementProvider; //TODO: not sure if df = K * du is the best way to calcuate df.
public DirichletEquivalentLoadsStructural(IElementMatrixProvider elementProvider)
{
this.elementProvider = elementProvider;
}
public static Dictionary <int, double[]> CalculateFppReactionsVectorSubdomains(Model model, IElementMatrixProvider elementProvider,
IScaleTransitions scaleTransitions, Dictionary <int, Node> boundaryNodes, Dictionary <int, IVector> solution, Dictionary <int, IVector> dSolution,
Dictionary <int, Dictionary <IDofType, double> > initialConvergedBoundaryDisplacements, Dictionary <int, Dictionary <IDofType, double> > totalBoundaryDisplacements,
int nIncrement, int totalIncrements)
{
Dictionary <int, double[]> FppReactionVectorSubdomains = new Dictionary <int, double[]>();
foreach (Subdomain subdomain in model.Subdomains)
{
FppReactionVectorSubdomains.Add(subdomain.ID, SubdomainCalculations.CalculateFppReactionsVector(subdomain, elementProvider, scaleTransitions, boundaryNodes,
solution[subdomain.ID], dSolution[subdomain.ID], initialConvergedBoundaryDisplacements, totalBoundaryDisplacements, nIncrement, totalIncrements));
}
return(FppReactionVectorSubdomains);
}
IMatrixView matrixConstrConstr)> BuildGlobalSubmatrices(IElementMatrixProvider elementMatrixProvider)
{
var watch = new Stopwatch();
watch.Start();
if (subdomain.ConstrainedDofOrdering == null)
{
throw new InvalidOperationException("In order to build the matrices corresponding to constrained dofs,"
+ " they must have been ordered first.");
}
(IMatrix Aff, IMatrixView Afc, IMatrixView Acf, IMatrixView Acc) = assembler.BuildGlobalSubmatrices(
subdomain.FreeDofRowOrdering, subdomain.FreeDofColOrdering, subdomain.ConstrainedDofRowOrdering,
subdomain.ConstrainedDofColOrdering, subdomain.Elements, elementMatrixProvider);
watch.Stop();
Logger.LogTaskDuration("Matrix assembly", watch.ElapsedMilliseconds);
return(new Dictionary <int, (IMatrix, IMatrixView, IMatrixView, IMatrixView)>
{
{ subdomain.ID, (Aff, Afc, Acf, Acc) }
});
}
/// <summary>
///
/// </summary>
/// <param name="KfpDqSubdomains"></param>
/// <param name="model"></param>
/// <param name="elementProvider"></param>
/// <param name="scaleTransitions"></param>
/// <param name="boundaryNodes"></param>
/// <param name="solver">
/// <paramref name="solver"/>.<see cref="ISolver.Initialize"/> must already have been called. Also the linear system matrices must already have been set.
/// </param>
public static Dictionary <int, double[][]> CalculateKffinverseKfpDqSubdomains(Dictionary <int, double[][]> KfpDqSubdomains, Model model, IElementMatrixProvider elementProvider,
IScaleTransitions scaleTransitions, Dictionary <int, Node> boundaryNodes, ISolver solver)
{
IReadOnlyDictionary <int, ILinearSystem> linearSystems = solver.LinearSystems;
#region Creation of solution vectors structure
Dictionary <int, double[][]> f2_vectorsSubdomains = new Dictionary <int, double[][]>();
foreach (int subdomainID in KfpDqSubdomains.Keys)
{
f2_vectorsSubdomains.Add(subdomainID, new double[KfpDqSubdomains[subdomainID].GetLength(0)][]);
}
#endregion
//#region Creation of linear systems with no RHS (first RHS value can be assigned too )
//ILinearSystem[] seclinearSystems = new ILinearSystem[linearSystems.Count];
//int counter = 0;
//foreach (ILinearSystem subdomain in linearSystems.Values)
//{
// seclinearSystems[counter] = new SkylineLinearSystem(subdomain.ID, new double[KfpDqSubdomains[subdomain.ID][0].GetLength(0)]);
// seclinearSystems[counter].Matrix = subdomain.Matrix;
//}
//#endregion
//#region creation of solver
//var secSolver = new SolverSkyline(seclinearSystems[0]);
//secSolver.Initialize();
//#endregion
#region Consecutively(for macroscaleVariableDimension times) Set proper right hand side. Solve. Copy solution in output vector
int oneSubomainID = linearSystems.First().Value.Subdomain.ID; //seclinearSystems[0].ID;
for (int k = 0; k < scaleTransitions.MacroscaleVariableDimension(); k++) //KfpDqSubdomains[linearSystems[0].ID].GetLength(0)=Mac
{
#region Set proper RHS
//var globalRHS = new Vector(model.TotalDOFs); //TODO: uncoomment if globalRHS is needed for solver
foreach (ILinearSystem secSubdomain in linearSystems.Values)
{
secSubdomain.RhsVector = Vector.CreateFromArray(KfpDqSubdomains[secSubdomain.Subdomain.ID][k], false);
//secSubdomain.RhsVector = Vector.CreateFromArray(KfpDqSubdomains[secSubdomain.Subdomain.ID][k], true); Wste sigoura na mhn peiraxthei to double[]
//mappings[seclinearSystems.Select((v, i) => new { System = v, Index = i }).First(x => x.System.ID == secSubdomain.ID).Index].SubdomainToGlobalVector(subdomainRHS.Data, globalRHS.Data);
//TODO: uncoomment if globalRHS is needed for solver
}
#endregion
#region Solve
solver.Solve();
#endregion
#region Copy solution in output vector
foreach (ILinearSystem secSubdomain in linearSystems.Values)
{
f2_vectorsSubdomains[secSubdomain.Subdomain.ID][k] = secSubdomain.Solution.CopyToArray();
}
#endregion
}
#endregion
return(f2_vectorsSubdomains);
}
public ElementPoreDampingProvider(IElementMatrixProvider solidDampingProvider, double dampingCoefficient)
{
this.solidDampingProvider = solidDampingProvider;
this.dampingCoefficient = dampingCoefficient;
}
public static SkylineMatrix2D <double> CalculateGlobalMatrix(Subdomain subdomain, IElementMatrixProvider elementProvider)
{
return(CalculateGlobalMatrix(subdomain, subdomain.NodalDOFsDictionary, elementProvider));
}