mpi.cc File Reference

#include <deal.II/base/exceptions.h>
#include <deal.II/base/index_set.h>
#include <deal.II/base/mpi.h>
#include <deal.II/base/mpi.templates.h>
#include <deal.II/base/mpi_compute_index_owner_internal.h>
#include <deal.II/base/mpi_tags.h>
#include <deal.II/base/multithread_info.h>
#include <deal.II/base/utilities.h>
#include <deal.II/lac/la_parallel_block_vector.h>
#include <deal.II/lac/la_parallel_vector.h>
#include <deal.II/lac/vector_memory.h>
#include <iostream>
#include <numeric>
#include <set>
#include <vector>
#include <deal.II/lac/trilinos_parallel_block_vector.h>
#include <deal.II/lac/trilinos_vector.h>
#include <Epetra_MpiComm.h>
#include <deal.II/lac/petsc_block_vector.h>
#include <deal.II/lac/petsc_vector.h>
#include <petscsys.h>
#include <deal.II/lac/slepc_solver.h>
#include <slepcsys.h>
#include <p4est_bits.h>
#include <zoltan_cpp.h>
#include "mpi.inst"

Go to the source code of this file.

Classes
class	Utilities::MPI::ConsensusAlgorithmsProcessTargets

Namespaces
	Utilities
	Utilities::MPI

Functions
IndexSet	Utilities::create_evenly_distributed_partitioning (const unsigned int my_partition_id, const unsigned int n_partitions, const IndexSet::size_type total_size)
MinMaxAvg	Utilities::MPI::min_max_avg (const double my_value, const MPI_Comm &mpi_communicator)
std::vector< MinMaxAvg >	Utilities::MPI::min_max_avg (const std::vector< double > &my_value, const MPI_Comm &mpi_communicator)
unsigned int	Utilities::MPI::n_mpi_processes (const MPI_Comm &mpi_communicator)
unsigned int	Utilities::MPI::this_mpi_process (const MPI_Comm &mpi_communicator)
MPI_Comm	Utilities::MPI::duplicate_communicator (const MPI_Comm &mpi_communicator)
void	Utilities::MPI::free_communicator (MPI_Comm &mpi_communicator)
int	Utilities::MPI::create_group (const MPI_Comm &comm, const MPI_Group &group, const int tag, MPI_Comm *new_comm)
std::vector< IndexSet >	Utilities::MPI::create_ascending_partitioning (const MPI_Comm &comm, const IndexSet::size_type local_size)
IndexSet	Utilities::MPI::create_evenly_distributed_partitioning (const MPI_Comm &comm, const IndexSet::size_type total_size)
std::vector< unsigned int >	Utilities::MPI::compute_point_to_point_communication_pattern (const MPI_Comm &mpi_comm, const std::vector< unsigned int > &destinations)
unsigned int	Utilities::MPI::compute_n_point_to_point_communications (const MPI_Comm &mpi_comm, const std::vector< unsigned int > &destinations)
void	Utilities::MPI::min_max_avg (const ArrayView< const double > &my_values, const ArrayView< MinMaxAvg > &result, const MPI_Comm &mpi_communicator)
bool	Utilities::MPI::job_supports_mpi ()
std::vector< unsigned int >	Utilities::MPI::compute_index_owner (const IndexSet &owned_indices, const IndexSet &indices_to_look_up, const MPI_Comm &comm)
template std::vector< unsigned int >	Utilities::MPI::compute_set_union (const std::vector< unsigned int > &vec, const MPI_Comm &comm)
template std::set< unsigned int >	Utilities::MPI::compute_set_union (const std::set< unsigned int > &set, const MPI_Comm &comm)
template void	Utilities::MPI::sum< double > (const SparseMatrix< double > &, const MPI_Comm &, SparseMatrix< double > &)
template void	Utilities::MPI::sum< float > (const SparseMatrix< float > &, const MPI_Comm &, SparseMatrix< float > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< int > > (const LAPACKFullMatrix< int > &, const MPI_Comm &, LAPACKFullMatrix< int > &)
template void	Utilities::MPI::sum< Vector< int > > (const Vector< int > &, const MPI_Comm &, Vector< int > &)
template void	Utilities::MPI::sum< FullMatrix< int > > (const FullMatrix< int > &, const MPI_Comm &, FullMatrix< int > &)
template void	Utilities::MPI::sum< int > (const ArrayView< const int > &, const MPI_Comm &, const ArrayView< int > &)
template int	Utilities::MPI::sum< int > (const int &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< int > > (const std::vector< int > &, const MPI_Comm &, std::vector< int > &)
template int	Utilities::MPI::max< int > (const int &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< int > > (const std::vector< int > &, const MPI_Comm &, std::vector< int > &)
template void	Utilities::MPI::max< int > (const ArrayView< const int > &, const MPI_Comm &, const ArrayView< int > &)
template int	Utilities::MPI::min< int > (const int &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< int > > (const std::vector< int > &, const MPI_Comm &, std::vector< int > &)
template void	Utilities::MPI::min< int > (const ArrayView< const int > &, const MPI_Comm &, const ArrayView< int > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< long int > > (const LAPACKFullMatrix< long int > &, const MPI_Comm &, LAPACKFullMatrix< long int > &)
template void	Utilities::MPI::sum< Vector< long int > > (const Vector< long int > &, const MPI_Comm &, Vector< long int > &)
template void	Utilities::MPI::sum< FullMatrix< long int > > (const FullMatrix< long int > &, const MPI_Comm &, FullMatrix< long int > &)
template void	Utilities::MPI::sum< long int > (const ArrayView< const long int > &, const MPI_Comm &, const ArrayView< long int > &)
template long int	Utilities::MPI::sum< long int > (const long int &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< long int > > (const std::vector< long int > &, const MPI_Comm &, std::vector< long int > &)
template long int	Utilities::MPI::max< long int > (const long int &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< long int > > (const std::vector< long int > &, const MPI_Comm &, std::vector< long int > &)
template void	Utilities::MPI::max< long int > (const ArrayView< const long int > &, const MPI_Comm &, const ArrayView< long int > &)
template long int	Utilities::MPI::min< long int > (const long int &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< long int > > (const std::vector< long int > &, const MPI_Comm &, std::vector< long int > &)
template void	Utilities::MPI::min< long int > (const ArrayView< const long int > &, const MPI_Comm &, const ArrayView< long int > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< unsigned int > > (const LAPACKFullMatrix< unsigned int > &, const MPI_Comm &, LAPACKFullMatrix< unsigned int > &)
template void	Utilities::MPI::sum< Vector< unsigned int > > (const Vector< unsigned int > &, const MPI_Comm &, Vector< unsigned int > &)
template void	Utilities::MPI::sum< FullMatrix< unsigned int > > (const FullMatrix< unsigned int > &, const MPI_Comm &, FullMatrix< unsigned int > &)
template void	Utilities::MPI::sum< unsigned int > (const ArrayView< const unsigned int > &, const MPI_Comm &, const ArrayView< unsigned int > &)
template unsigned int	Utilities::MPI::sum< unsigned int > (const unsigned int &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< unsigned int > > (const std::vector< unsigned int > &, const MPI_Comm &, std::vector< unsigned int > &)
template unsigned int	Utilities::MPI::max< unsigned int > (const unsigned int &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< unsigned int > > (const std::vector< unsigned int > &, const MPI_Comm &, std::vector< unsigned int > &)
template void	Utilities::MPI::max< unsigned int > (const ArrayView< const unsigned int > &, const MPI_Comm &, const ArrayView< unsigned int > &)
template unsigned int	Utilities::MPI::min< unsigned int > (const unsigned int &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< unsigned int > > (const std::vector< unsigned int > &, const MPI_Comm &, std::vector< unsigned int > &)
template void	Utilities::MPI::min< unsigned int > (const ArrayView< const unsigned int > &, const MPI_Comm &, const ArrayView< unsigned int > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< unsigned long int > > (const LAPACKFullMatrix< unsigned long int > &, const MPI_Comm &, LAPACKFullMatrix< unsigned long int > &)
template void	Utilities::MPI::sum< Vector< unsigned long int > > (const Vector< unsigned long int > &, const MPI_Comm &, Vector< unsigned long int > &)
template void	Utilities::MPI::sum< FullMatrix< unsigned long int > > (const FullMatrix< unsigned long int > &, const MPI_Comm &, FullMatrix< unsigned long int > &)
template void	Utilities::MPI::sum< unsigned long int > (const ArrayView< const unsigned long int > &, const MPI_Comm &, const ArrayView< unsigned long int > &)
template unsigned long int	Utilities::MPI::sum< unsigned long int > (const unsigned long int &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< unsigned long int > > (const std::vector< unsigned long int > &, const MPI_Comm &, std::vector< unsigned long int > &)
template unsigned long int	Utilities::MPI::max< unsigned long int > (const unsigned long int &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< unsigned long int > > (const std::vector< unsigned long int > &, const MPI_Comm &, std::vector< unsigned long int > &)
template void	Utilities::MPI::max< unsigned long int > (const ArrayView< const unsigned long int > &, const MPI_Comm &, const ArrayView< unsigned long int > &)
template unsigned long int	Utilities::MPI::min< unsigned long int > (const unsigned long int &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< unsigned long int > > (const std::vector< unsigned long int > &, const MPI_Comm &, std::vector< unsigned long int > &)
template void	Utilities::MPI::min< unsigned long int > (const ArrayView< const unsigned long int > &, const MPI_Comm &, const ArrayView< unsigned long int > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< unsigned long long int > > (const LAPACKFullMatrix< unsigned long long int > &, const MPI_Comm &, LAPACKFullMatrix< unsigned long long int > &)
template void	Utilities::MPI::sum< Vector< unsigned long long int > > (const Vector< unsigned long long int > &, const MPI_Comm &, Vector< unsigned long long int > &)
template void	Utilities::MPI::sum< FullMatrix< unsigned long long int > > (const FullMatrix< unsigned long long int > &, const MPI_Comm &, FullMatrix< unsigned long long int > &)
template void	Utilities::MPI::sum< unsigned long long int > (const ArrayView< const unsigned long long int > &, const MPI_Comm &, const ArrayView< unsigned long long int > &)
template unsigned long long int	Utilities::MPI::sum< unsigned long long int > (const unsigned long long int &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< unsigned long long int > > (const std::vector< unsigned long long int > &, const MPI_Comm &, std::vector< unsigned long long int > &)
template unsigned long long int	Utilities::MPI::max< unsigned long long int > (const unsigned long long int &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< unsigned long long int > > (const std::vector< unsigned long long int > &, const MPI_Comm &, std::vector< unsigned long long int > &)
template void	Utilities::MPI::max< unsigned long long int > (const ArrayView< const unsigned long long int > &, const MPI_Comm &, const ArrayView< unsigned long long int > &)
template unsigned long long int	Utilities::MPI::min< unsigned long long int > (const unsigned long long int &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< unsigned long long int > > (const std::vector< unsigned long long int > &, const MPI_Comm &, std::vector< unsigned long long int > &)
template void	Utilities::MPI::min< unsigned long long int > (const ArrayView< const unsigned long long int > &, const MPI_Comm &, const ArrayView< unsigned long long int > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< float > > (const LAPACKFullMatrix< float > &, const MPI_Comm &, LAPACKFullMatrix< float > &)
template void	Utilities::MPI::sum< Vector< float > > (const Vector< float > &, const MPI_Comm &, Vector< float > &)
template void	Utilities::MPI::sum< FullMatrix< float > > (const FullMatrix< float > &, const MPI_Comm &, FullMatrix< float > &)
template void	Utilities::MPI::sum< float > (const ArrayView< const float > &, const MPI_Comm &, const ArrayView< float > &)
template float	Utilities::MPI::sum< float > (const float &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< float > > (const std::vector< float > &, const MPI_Comm &, std::vector< float > &)
template float	Utilities::MPI::max< float > (const float &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< float > > (const std::vector< float > &, const MPI_Comm &, std::vector< float > &)
template void	Utilities::MPI::max< float > (const ArrayView< const float > &, const MPI_Comm &, const ArrayView< float > &)
template float	Utilities::MPI::min< float > (const float &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< float > > (const std::vector< float > &, const MPI_Comm &, std::vector< float > &)
template void	Utilities::MPI::min< float > (const ArrayView< const float > &, const MPI_Comm &, const ArrayView< float > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< double > > (const LAPACKFullMatrix< double > &, const MPI_Comm &, LAPACKFullMatrix< double > &)
template void	Utilities::MPI::sum< Vector< double > > (const Vector< double > &, const MPI_Comm &, Vector< double > &)
template void	Utilities::MPI::sum< FullMatrix< double > > (const FullMatrix< double > &, const MPI_Comm &, FullMatrix< double > &)
template void	Utilities::MPI::sum< double > (const ArrayView< const double > &, const MPI_Comm &, const ArrayView< double > &)
template double	Utilities::MPI::sum< double > (const double &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< double > > (const std::vector< double > &, const MPI_Comm &, std::vector< double > &)
template double	Utilities::MPI::max< double > (const double &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< double > > (const std::vector< double > &, const MPI_Comm &, std::vector< double > &)
template void	Utilities::MPI::max< double > (const ArrayView< const double > &, const MPI_Comm &, const ArrayView< double > &)
template double	Utilities::MPI::min< double > (const double &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< double > > (const std::vector< double > &, const MPI_Comm &, std::vector< double > &)
template void	Utilities::MPI::min< double > (const ArrayView< const double > &, const MPI_Comm &, const ArrayView< double > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< long double > > (const LAPACKFullMatrix< long double > &, const MPI_Comm &, LAPACKFullMatrix< long double > &)
template void	Utilities::MPI::sum< Vector< long double > > (const Vector< long double > &, const MPI_Comm &, Vector< long double > &)
template void	Utilities::MPI::sum< FullMatrix< long double > > (const FullMatrix< long double > &, const MPI_Comm &, FullMatrix< long double > &)
template void	Utilities::MPI::sum< long double > (const ArrayView< const long double > &, const MPI_Comm &, const ArrayView< long double > &)
template long double	Utilities::MPI::sum< long double > (const long double &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< long double > > (const std::vector< long double > &, const MPI_Comm &, std::vector< long double > &)
template long double	Utilities::MPI::max< long double > (const long double &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< long double > > (const std::vector< long double > &, const MPI_Comm &, std::vector< long double > &)
template void	Utilities::MPI::max< long double > (const ArrayView< const long double > &, const MPI_Comm &, const ArrayView< long double > &)
template long double	Utilities::MPI::min< long double > (const long double &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< long double > > (const std::vector< long double > &, const MPI_Comm &, std::vector< long double > &)
template void	Utilities::MPI::min< long double > (const ArrayView< const long double > &, const MPI_Comm &, const ArrayView< long double > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< std::complex< double > > > (const LAPACKFullMatrix< std::complex< double > > &, const MPI_Comm &, LAPACKFullMatrix< std::complex< double > > &)
template void	Utilities::MPI::sum< Vector< std::complex< double > > > (const Vector< std::complex< double > > &, const MPI_Comm &, Vector< std::complex< double > > &)
template void	Utilities::MPI::sum< FullMatrix< std::complex< double > > > (const FullMatrix< std::complex< double > > &, const MPI_Comm &, FullMatrix< std::complex< double > > &)
template void	Utilities::MPI::sum< std::complex< double > > (const ArrayView< const std::complex< double > > &, const MPI_Comm &, const ArrayView< std::complex< double > > &)
template std::complex< double >	Utilities::MPI::sum< std::complex< double > > (const std::complex< double > &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< std::complex< double > > > (const std::vector< std::complex< double > > &, const MPI_Comm &, std::vector< std::complex< double > > &)
template std::complex< double >	Utilities::MPI::max< std::complex< double > > (const std::complex< double > &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< std::complex< double > > > (const std::vector< std::complex< double > > &, const MPI_Comm &, std::vector< std::complex< double > > &)
template void	Utilities::MPI::max< std::complex< double > > (const ArrayView< const std::complex< double > > &, const MPI_Comm &, const ArrayView< std::complex< double > > &)
template std::complex< double >	Utilities::MPI::min< std::complex< double > > (const std::complex< double > &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< std::complex< double > > > (const std::vector< std::complex< double > > &, const MPI_Comm &, std::vector< std::complex< double > > &)
template void	Utilities::MPI::min< std::complex< double > > (const ArrayView< const std::complex< double > > &, const MPI_Comm &, const ArrayView< std::complex< double > > &)
template void	Utilities::MPI::sum< LAPACKFullMatrix< std::complex< float > > > (const LAPACKFullMatrix< std::complex< float > > &, const MPI_Comm &, LAPACKFullMatrix< std::complex< float > > &)
template void	Utilities::MPI::sum< Vector< std::complex< float > > > (const Vector< std::complex< float > > &, const MPI_Comm &, Vector< std::complex< float > > &)
template void	Utilities::MPI::sum< FullMatrix< std::complex< float > > > (const FullMatrix< std::complex< float > > &, const MPI_Comm &, FullMatrix< std::complex< float > > &)
template void	Utilities::MPI::sum< std::complex< float > > (const ArrayView< const std::complex< float > > &, const MPI_Comm &, const ArrayView< std::complex< float > > &)
template std::complex< float >	Utilities::MPI::sum< std::complex< float > > (const std::complex< float > &, const MPI_Comm &)
template void	Utilities::MPI::sum< std::vector< std::complex< float > > > (const std::vector< std::complex< float > > &, const MPI_Comm &, std::vector< std::complex< float > > &)
template std::complex< float >	Utilities::MPI::max< std::complex< float > > (const std::complex< float > &, const MPI_Comm &)
template void	Utilities::MPI::max< std::vector< std::complex< float > > > (const std::vector< std::complex< float > > &, const MPI_Comm &, std::vector< std::complex< float > > &)
template void	Utilities::MPI::max< std::complex< float > > (const ArrayView< const std::complex< float > > &, const MPI_Comm &, const ArrayView< std::complex< float > > &)
template std::complex< float >	Utilities::MPI::min< std::complex< float > > (const std::complex< float > &, const MPI_Comm &)
template void	Utilities::MPI::min< std::vector< std::complex< float > > > (const std::vector< std::complex< float > > &, const MPI_Comm &, std::vector< std::complex< float > > &)
template void	Utilities::MPI::min< std::complex< float > > (const ArrayView< const std::complex< float > > &, const MPI_Comm &, const ArrayView< std::complex< float > > &)
template Tensor< 1, 1, double >	Utilities::MPI::sum< 1, 1, double > (const Tensor< 1, 1, double > &, const MPI_Comm &)
template Tensor< 1, 2, double >	Utilities::MPI::sum< 1, 2, double > (const Tensor< 1, 2, double > &, const MPI_Comm &)
template Tensor< 1, 3, double >	Utilities::MPI::sum< 1, 3, double > (const Tensor< 1, 3, double > &, const MPI_Comm &)
template Tensor< 2, 1, double >	Utilities::MPI::sum< 2, 1, double > (const Tensor< 2, 1, double > &, const MPI_Comm &)
template Tensor< 2, 2, double >	Utilities::MPI::sum< 2, 2, double > (const Tensor< 2, 2, double > &, const MPI_Comm &)
template Tensor< 2, 3, double >	Utilities::MPI::sum< 2, 3, double > (const Tensor< 2, 3, double > &, const MPI_Comm &)
template Tensor< 3, 1, double >	Utilities::MPI::sum< 3, 1, double > (const Tensor< 3, 1, double > &, const MPI_Comm &)
template Tensor< 3, 2, double >	Utilities::MPI::sum< 3, 2, double > (const Tensor< 3, 2, double > &, const MPI_Comm &)
template Tensor< 3, 3, double >	Utilities::MPI::sum< 3, 3, double > (const Tensor< 3, 3, double > &, const MPI_Comm &)
template Tensor< 4, 1, double >	Utilities::MPI::sum< 4, 1, double > (const Tensor< 4, 1, double > &, const MPI_Comm &)
template Tensor< 4, 2, double >	Utilities::MPI::sum< 4, 2, double > (const Tensor< 4, 2, double > &, const MPI_Comm &)
template Tensor< 4, 3, double >	Utilities::MPI::sum< 4, 3, double > (const Tensor< 4, 3, double > &, const MPI_Comm &)
template Tensor< 1, 1, float >	Utilities::MPI::sum< 1, 1, float > (const Tensor< 1, 1, float > &, const MPI_Comm &)
template Tensor< 1, 2, float >	Utilities::MPI::sum< 1, 2, float > (const Tensor< 1, 2, float > &, const MPI_Comm &)
template Tensor< 1, 3, float >	Utilities::MPI::sum< 1, 3, float > (const Tensor< 1, 3, float > &, const MPI_Comm &)
template Tensor< 2, 1, float >	Utilities::MPI::sum< 2, 1, float > (const Tensor< 2, 1, float > &, const MPI_Comm &)
template Tensor< 2, 2, float >	Utilities::MPI::sum< 2, 2, float > (const Tensor< 2, 2, float > &, const MPI_Comm &)
template Tensor< 2, 3, float >	Utilities::MPI::sum< 2, 3, float > (const Tensor< 2, 3, float > &, const MPI_Comm &)
template Tensor< 3, 1, float >	Utilities::MPI::sum< 3, 1, float > (const Tensor< 3, 1, float > &, const MPI_Comm &)
template Tensor< 3, 2, float >	Utilities::MPI::sum< 3, 2, float > (const Tensor< 3, 2, float > &, const MPI_Comm &)
template Tensor< 3, 3, float >	Utilities::MPI::sum< 3, 3, float > (const Tensor< 3, 3, float > &, const MPI_Comm &)
template Tensor< 4, 1, float >	Utilities::MPI::sum< 4, 1, float > (const Tensor< 4, 1, float > &, const MPI_Comm &)
template Tensor< 4, 2, float >	Utilities::MPI::sum< 4, 2, float > (const Tensor< 4, 2, float > &, const MPI_Comm &)
template Tensor< 4, 3, float >	Utilities::MPI::sum< 4, 3, float > (const Tensor< 4, 3, float > &, const MPI_Comm &)
template SymmetricTensor< 2, 1, double >	Utilities::MPI::sum< 2, 1, double > (const SymmetricTensor< 2, 1, double > &, const MPI_Comm &)
template SymmetricTensor< 4, 1, double >	Utilities::MPI::sum< 4, 1, double > (const SymmetricTensor< 4, 1, double > &, const MPI_Comm &)
template SymmetricTensor< 2, 2, double >	Utilities::MPI::sum< 2, 2, double > (const SymmetricTensor< 2, 2, double > &, const MPI_Comm &)
template SymmetricTensor< 4, 2, double >	Utilities::MPI::sum< 4, 2, double > (const SymmetricTensor< 4, 2, double > &, const MPI_Comm &)
template SymmetricTensor< 2, 3, double >	Utilities::MPI::sum< 2, 3, double > (const SymmetricTensor< 2, 3, double > &, const MPI_Comm &)
template SymmetricTensor< 4, 3, double >	Utilities::MPI::sum< 4, 3, double > (const SymmetricTensor< 4, 3, double > &, const MPI_Comm &)
template SymmetricTensor< 2, 1, float >	Utilities::MPI::sum< 2, 1, float > (const SymmetricTensor< 2, 1, float > &, const MPI_Comm &)
template SymmetricTensor< 4, 1, float >	Utilities::MPI::sum< 4, 1, float > (const SymmetricTensor< 4, 1, float > &, const MPI_Comm &)
template SymmetricTensor< 2, 2, float >	Utilities::MPI::sum< 2, 2, float > (const SymmetricTensor< 2, 2, float > &, const MPI_Comm &)
template SymmetricTensor< 4, 2, float >	Utilities::MPI::sum< 4, 2, float > (const SymmetricTensor< 4, 2, float > &, const MPI_Comm &)
template SymmetricTensor< 2, 3, float >	Utilities::MPI::sum< 2, 3, float > (const SymmetricTensor< 2, 3, float > &, const MPI_Comm &)
template SymmetricTensor< 4, 3, float >	Utilities::MPI::sum< 4, 3, float > (const SymmetricTensor< 4, 3, float > &, const MPI_Comm &)