// Result must be as large as Mesh.MaxVertexID
public bool Solve(Vector3d[] Result)
{
if (WeightsM == null)
{
Initialize(); // force initialize...
}
UpdateForSolve();
// use initial positions as initial solution.
Array.Copy(Px, Sx, N);
Array.Copy(Py, Sy, N);
Array.Copy(Pz, Sz, N);
Action <double[], double[]> CombinedMultiply = (X, B) => {
// packed multiply is 3-4x faster...
//M.Multiply(X, B);
PackedM.Multiply(X, B);
for (int i = 0; i < N; ++i)
{
B[i] += WeightsM.D[i] * X[i];
}
};
SparseSymmetricCG SolverX = new SparseSymmetricCG()
{
B = Bx, X = Sx,
MultiplyF = CombinedMultiply, PreconditionMultiplyF = Preconditioner.Multiply,
UseXAsInitialGuess = true
};
SparseSymmetricCG SolverY = new SparseSymmetricCG()
{
B = By, X = Sy,
MultiplyF = CombinedMultiply, PreconditionMultiplyF = Preconditioner.Multiply,
UseXAsInitialGuess = true
};
SparseSymmetricCG SolverZ = new SparseSymmetricCG()
{
B = Bz, X = Sz,
MultiplyF = CombinedMultiply, PreconditionMultiplyF = Preconditioner.Multiply,
UseXAsInitialGuess = true
};
SparseSymmetricCG[] solvers = new SparseSymmetricCG[3] {
SolverX, SolverY, SolverZ
};
bool[] ok = new bool[3];
int[] indices = new int[3] {
0, 1, 2
};
// preconditioned solve is slower =\
//Action<int> SolveF = (i) => { ok[i] = solvers[i].SolvePreconditioned(); };
Action <int> SolveF = (i) => { ok[i] = solvers[i].Solve(); };
gParallel.ForEach(indices, SolveF);
if (ok[0] == false || ok[1] == false || ok[2] == false)
{
return(false);
}
for (int i = 0; i < N; ++i)
{
int vid = ToMeshV[i];
Result[vid] = new Vector3d(Sx[i], Sy[i], Sz[i]);
}
// apply post-fixed constraints
if (HavePostFixedConstraints)
{
foreach (var constraint in SoftConstraints)
{
if (constraint.Value.PostFix)
{
int vid = constraint.Key;
Result[vid] = constraint.Value.Position;
}
}
}
return(true);
}
// Result must be as large as Mesh.MaxVertexID
public bool Solve(Vector3d[] Result)
{
UpdateForSolve();
// use initial positions as initial solution.
Array.Copy(Px, Sx, N);
Array.Copy(Py, Sy, N);
Array.Copy(Pz, Sz, N);
Action <double[], double[]> CombinedMultiply = (X, B) => {
M.Multiply(X, B);
for (int i = 0; i < N; ++i)
{
B[i] += WeightsM[i, i] * X[i];
}
};
SparseSymmetricCG SolverX = new SparseSymmetricCG()
{
B = Bx, X = Sx,
MultiplyF = CombinedMultiply, PreconditionMultiplyF = Preconditioner.Multiply,
UseXAsInitialGuess = true
};
SparseSymmetricCG SolverY = new SparseSymmetricCG()
{
B = By, X = Sy,
MultiplyF = CombinedMultiply, PreconditionMultiplyF = Preconditioner.Multiply,
UseXAsInitialGuess = true
};
SparseSymmetricCG SolverZ = new SparseSymmetricCG()
{
B = Bz, X = Sz,
MultiplyF = CombinedMultiply, PreconditionMultiplyF = Preconditioner.Multiply,
UseXAsInitialGuess = true
};
SparseSymmetricCG[] solvers = new SparseSymmetricCG[3] {
SolverX, SolverY, SolverZ
};
bool[] ok = new bool[3];
int[] indices = new int[3] {
0, 1, 2
};
Action <int> SolveF = (i) => { ok[i] = solvers[i].Solve(); };
gParallel.ForEach(indices, SolveF);
if (ok[0] == false || ok[1] == false || ok[2] == false)
{
return(false);
}
for (int i = 0; i < N; ++i)
{
int vid = ToMeshV[i];
Result[vid] = new Vector3d(Sx[i], Sy[i], Sz[i]);
}
return(true);
}