void givens_rotation (Vector<double> &h, Vector<double> &b,
Vector<double> &ci, Vector<double> &si,
int col) const;
- /**
- * Projected system matrix
- */
- FullMatrix<double> H;
- /**
- * Auxiliary matrix for inverting @p{H}
- */
- FullMatrix<double> H1;
-
+ /**
+ * Projected system matrix
+ */
+ FullMatrix<double> H;
+ /**
+ * Auxiliary matrix for inverting @p{H}
+ */
+ FullMatrix<double> H1;
+
private:
- /**
- * No copy constructor.
- */
- SolverGMRES (const SolverGMRES<VECTOR>&);
+ /**
+ * Class to hold temporary
+ * vectors. This class
+ * automatically allocates a new
+ * vector, once it is needed.
+ *
+ * A future version should also
+ * be able to shift through
+ * vectors automatically,
+ * avoiding restart.
+ */
+
+ class TmpVectors
+ {
+ public:
+ /**
+ * Constructor. Prepares an
+ * array of @p{VECTOR} of
+ * length @p{max_size}.
+ */
+ TmpVectors(unsigned int max_size,
+ VectorMemory<VECTOR>& vmem);
+ /**
+ * Delete all allocated vectors.
+ */
+ ~TmpVectors();
+ /**
+ * Get vector number
+ * @p{i}. Allocate it if
+ * necessary.
+ */
+ VECTOR& operator[] (unsigned int i);
+
+ private:
+ /**
+ * Pool were vectors are obtained from.
+ */
+ VectorMemory<VECTOR>& mem;
+ /**
+ * Field for storing the vectors.
+ */
+ std::vector<VECTOR*> data;
+ /**
+ * Offset of the first
+ * vector. This is for later
+ * when vector rotation will
+ * be implemented.
+ */
+ unsigned int offset;
+ };
+ /**
+ * No copy constructor.
+ */
+ SolverGMRES (const SolverGMRES<VECTOR>&);
};
/* --------------------- Inline and template functions ------------------- */
+template <class VECTOR>
+inline
+SolverGMRES<VECTOR>::TmpVectors::TmpVectors (unsigned int max_size,
+ VectorMemory<VECTOR>& vmem)
+ :
+ mem(vmem),
+ data (max_size, 0),
+ offset(0)
+{}
+
+
+template <class VECTOR>
+inline
+SolverGMRES<VECTOR>::TmpVectors::~TmpVectors ()
+{
+ for (typename std::vector<VECTOR*>::iterator v = data.begin();
+ v != data.end(); ++v)
+ if (*v != 0)
+ mem.free(*v);
+}
+
+
+template <class VECTOR>
+inline VECTOR&
+SolverGMRES<VECTOR>::TmpVectors::operator[] (unsigned int i)
+{
+ Assert (i+offset<data.size(),
+ ExcIndexRange(i,-offset, data.size()-offset));
+ i -= offset;
+ if (data[i] == 0)
+ data[i] = mem.alloc();
+ return *data[i];
+}
+
template <class VECTOR>
SolverGMRES<VECTOR>::SolverGMRES (SolverControl &cn,
deallog.push("GMRES");
const unsigned int n_tmp_vectors = additional_data.max_n_tmp_vectors;
- // allocate an array of n_tmp_vectors
- // temporary vectors from the VectorMemory
- // object; resize them but do not set their
- // values since they will be overwritten soon
- // anyway.
-
- // This is really bad since vectors
- // should only be allocated if
- // really needed. (GK)
- std::vector<VECTOR*> tmp_vectors (n_tmp_vectors, 0);
- for (unsigned int tmp=0; tmp<n_tmp_vectors; ++tmp)
- {
- tmp_vectors[tmp] = memory.alloc();
- tmp_vectors[tmp]->reinit (x, true);
- };
-
+ // Generate an object where basis
+ // vectors are stored.
+ TmpVectors tmp_vectors (n_tmp_vectors, memory);
+
// number of the present iteration; this
// number is not reset to zero upon a
// restart
const bool left_precondition = ! additional_data.right_preconditioning;
// define two aliases
- VECTOR &v = *tmp_vectors[0];
- VECTOR &p = *tmp_vectors[n_tmp_vectors-1];
+ VECTOR &v = tmp_vectors[0];
+ VECTOR &p = tmp_vectors[n_tmp_vectors-1];
///////////////////////////////////
{
++accumulated_iterations;
// yet another alias
- VECTOR& vv = *tmp_vectors[inner_iteration+1];
+ VECTOR& vv = tmp_vectors[inner_iteration+1];
if (left_precondition)
{
- A.vmult(p, *tmp_vectors[inner_iteration]);
+ A.vmult(p, tmp_vectors[inner_iteration]);
precondition.vmult(vv,p);
} else {
- precondition.vmult(p,*tmp_vectors[inner_iteration]);
+ precondition.vmult(p, tmp_vectors[inner_iteration]);
A.vmult(vv,p);
};
/* Orthogonalization */
for (unsigned int i=0 ; i<dim ; ++i)
{
- h(i) = vv * *tmp_vectors[i];
- vv.add(-h(i),*tmp_vectors[i]);
+ h(i) = vv * tmp_vectors[i];
+ vv.add(-h(i), tmp_vectors[i]);
};
double s = vv.l2_norm();
/* Re-orthogonalization */
for (unsigned i=0; i<dim; ++i)
{
- double htmp = vv * *tmp_vectors[i];
+ double htmp = vv * tmp_vectors[i];
h(i) += htmp;
- vv.add(-htmp,*tmp_vectors[i]);
+ vv.add(-htmp, tmp_vectors[i]);
};
s = vv.l2_norm();
if (left_precondition)
for (unsigned int i=0 ; i<dim; ++i)
- x.add(h(i), *tmp_vectors[i]);
+ x.add(h(i), tmp_vectors[i]);
else
{
p = 0.;
for (unsigned int i=0; i<dim; ++i)
- p.add(h(i), *tmp_vectors[i]);
+ p.add(h(i), tmp_vectors[i]);
precondition.vmult(v,p);
x.add(1.,v);
};
}
while (iteration_state == SolverControl::iterate);
- // free the allocated memory before
- // leaving
- for (unsigned int tmp=0; tmp<n_tmp_vectors; ++tmp)
- memory.free (tmp_vectors[tmp]);
-
+
deallog.pop();
-
// in case of failure: throw
// exception
if (control().last_check() != SolverControl::success)