MPI_Alltoall(3)

NAME
MPI_Alltoall, MPI_Ialltoall - All processes send data to all processes

SYNTAX

C Syntax
#include <mpi.h>
int MPI_Alltoall(const void *sendbuf, int sendcount,
	MPI_Datatype sendtype, void *recvbuf, int recvcount,
	MPI_Datatype recvtype, MPI_Comm comm)

int MPI_Ialltoall(const void *sendbuf, int sendcount,
	MPI_Datatype sendtype, void *recvbuf, int recvcount,
	MPI_Datatype recvtype, MPI_Comm comm, MPI_Request *request)

Fortran Syntax
USE MPI
! or the older form: INCLUDE 'mpif.h'
MPI_ALLTOALL(SENDBUF, SENDCOUNT, SENDTYPE, RECVBUF, RECVCOUNT,
	RECVTYPE, COMM, IERROR)

	<type>	SENDBUF(*), RECVBUF(*)
	INTEGER	SENDCOUNT, SENDTYPE, RECVCOUNT, RECVTYPE
	INTEGER	COMM, IERROR

MPI_IALLTOALL(SENDBUF, SENDCOUNT, SENDTYPE, RECVBUF, RECVCOUNT,
	RECVTYPE, COMM, REQUEST, IERROR)

	<type>	SENDBUF(*), RECVBUF(*)
	INTEGER	SENDCOUNT, SENDTYPE, RECVCOUNT, RECVTYPE
	INTEGER	COMM, REQUEST, IERROR

Fortran 2008 Syntax
USE mpi_f08
MPI_Alltoall(sendbuf, sendcount, sendtype, recvbuf, recvcount, recvtype,
		comm, ierror)

	TYPE(*), DIMENSION(..), INTENT(IN) :: sendbuf
	TYPE(*), DIMENSION(..) :: recvbuf
	INTEGER, INTENT(IN) :: sendcount, recvcount
	TYPE(MPI_Datatype), INTENT(IN) :: sendtype, recvtype
	TYPE(MPI_Comm), INTENT(IN) :: comm
	INTEGER, OPTIONAL, INTENT(OUT) :: ierror

MPI_Ialltoall(sendbuf, sendcount, sendtype, recvbuf, recvcount, recvtype,
		comm, request, ierror)

	TYPE(*), DIMENSION(..), INTENT(IN), ASYNCHRONOUS :: sendbuf
	TYPE(*), DIMENSION(..), ASYNCHRONOUS :: recvbuf
	INTEGER, INTENT(IN) :: sendcount, recvcount
	TYPE(MPI_Datatype), INTENT(IN) :: sendtype, recvtype
	TYPE(MPI_Comm), INTENT(IN) :: comm
	TYPE(MPI_Request), INTENT(OUT) :: request
	INTEGER, OPTIONAL, INTENT(OUT) :: ierror

C++ Syntax
#include <mpi.h>
void MPI::Comm::Alltoall(const void* sendbuf, int sendcount,
	const MPI::Datatype& sendtype, void* recvbuf,
	int recvcount, const MPI::Datatype& recvtype)

INPUT PARAMETERS

sendbuf
    Starting address of send buffer (choice).

sendcount
    Number of elements to send to each process (integer).

sendtype
    Datatype of send buffer elements (handle).

recvcount
    Number of elements to receive from each process (integer).

recvtype
    Datatype of receive buffer elements (handle).

comm
    Communicator over which data is to be exchanged (handle).

OUTPUT PARAMETERS

recvbuf
    Starting address of receive buffer (choice).

request
    Request (handle, non-blocking only).

IERROR
    Fortran only: Error status (integer).

DESCRIPTION
MPI_Alltoall is a collective operation in which all processes send the same amount of data to each other, and receive the same amount of data from each other. The operation of this routine can be represented as follows, where each process performs 2n (n being the number of processes in communicator comm) independent point-to-point communications (including communication with itself).

	MPI_Comm_size(comm, &n);
	for (i = 0, i < n; i++)
	    MPI_Send(sendbuf + i * sendcount * extent(sendtype),
	        sendcount, sendtype, i, ..., comm);
	for (i = 0, i < n; i++)
	    MPI_Recv(recvbuf + i * recvcount * extent(recvtype),
	        recvcount, recvtype, i, ..., comm);

Each process breaks up its local sendbuf into n blocks - each containing sendcount elements of type sendtype - and divides its recvbuf similarly according to recvcount and recvtype. Process j sends the k-th block of its local sendbuf to process k, which places the data in the j-th block of its local recvbuf. The amount of data sent must be equal to the amount of data received, pairwise, between every pair of processes.

WHEN COMMUNICATOR IS AN INTER-COMMUNICATOR

When the communicator is an inter-communicator, the gather operation occurs in two phases. The data is gathered from all the members of the first group and received by all the members of the second group. Then the data is gathered from all the members of the second group and received by all the members of the first. The operation exhibits a symmetric, full-duplex behavior.

The first group defines the root process. The root process uses MPI_ROOT as the value of root. All other processes in the first group use MPI_PROC_NULL as the value of root. All processes in the second group use the rank of the root process in the first group as the value of root.

When the communicator is an intra-communicator, these groups are the same, and the operation occurs in a single phase.

USE OF IN-PLACE OPTION
When the communicator is an intracommunicator, you can perform an all-to-all operation in-place (the output buffer is used as the input buffer). Use the variable MPI_IN_PLACE as the value of sendbuf. In this case, sendcount and sendtype are ignored. The input data of each process is assumed to be in the area where that process would receive its own contribution to the receive buffer.

NOTES

All arguments on all processes are significant. The comm argument, in particular, must describe the same communicator on all processes.

There are two MPI library functions that are more general than MPI_Alltoall. MPI_Alltoallv allows all-to-all communication to and from buffers that need not be contiguous; different processes may send and receive different amounts of data. MPI_Alltoallw expands MPI_Alltoallv's functionality to allow the exchange of data with different datatypes.

ERRORS
Almost all MPI routines return an error value; C routines as the value of the function and Fortran routines in the last argument. C++ functions do not return errors. If the default error handler is set to MPI::ERRORS_THROW_EXCEPTIONS, then on error the C++ exception mechanism will be used to throw an MPI::Exception object.

Before the error value is returned, the current MPI error handler is called. By default, this error handler aborts the MPI job, except for I/O function errors. The error handler may be changed with MPI_Comm_set_errhandler; the predefined error handler MPI_ERRORS_RETURN may be used to cause error values to be returned. Note that MPI does not guarantee that an MPI program can continue past an error.

SEE ALSO
MPI_Alltoallv
MPI_Alltoallw