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MPI_Alltoall(3)                    Open MPI                    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  pro-
       cesses  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  contain-
       ing sendcount elements of type sendtype - and divides its recvbuf simi-
       larly 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 pro-
       cesses.

       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 re-
       ceived by all the members of the first.  The operation exhibits a  sym-
       metric, 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 buf-
       fer).  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_All-
       toall.  MPI_Alltoallv  allows all-to-all communication to and from buf-
       fers that need not be contiguous; different processes may send and  re-
       ceive  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++ func-
       tions 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

4.1.2                            Nov 24, 2021                  MPI_Alltoall(3)

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