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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
       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

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)

Java Syntax
       import mpi.*;
       void MPI.COMM_WORLD.Alltoall(Object sendbuf, int sendoffset, int sendcount, MPI.Datatype sendtype,
				    Object recvbuf, int recvoffset, int recvcount, MPI.Datatype recvtype)

INPUT PARAMETERS
       sendbuf	   Starting address of send buffer (choice).

       sendoffset  Number of elements to skip at beginning of buffer (integer,
		   Java-only).

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

       sendtype	   Datatype of send buffer elements (handle).

       recvoffset  Number of elements to skip at beginning of buffer (integer,
		   Java-only).

       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
       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 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
       receive	different  amounts  of	data.  MPI_Alltoallw  expands MPI_All‐
       toallv'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

1.7.4				 Feb 04, 2014		       MPI_Alltoall(3)
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