MPI_Allreduce(3OpenMPI) 												   MPI_Allreduce(3OpenMPI)

NAME

       MPI_Allreduce - Combines values from all processes and distributes the result back to all processes.

SYNTAX

C Syntax
       #include <mpi.h>
       int MPI_Allreduce(void *sendbuf, void *recvbuf, int count,
	    MPI_Datatype datatype, MPI_Op op, MPI_Comm comm)

Fortran Syntax
       INCLUDE 'mpif.h'
       MPI_ALLREDUCE(SENDBUF, RECVBUF, COUNT, DATATYPE, OP,
		 COMM, IERROR)
	    <type>    SENDBUF(*), RECVBUF(*)
	    INTEGER   COUNT, DATATYPE, OP, COMM, IERROR

C++ Syntax
       #include <mpi.h>
       void MPI::Comm::Allreduce(const void* sendbuf, void* recvbuf,
	    int count, const MPI::Datatype& datatype, const
	    MPI::Op& op) const=0

INPUT PARAMETERS

       sendbuf	 Starting address of send buffer (choice).

       count	 Number of elements in send buffer (integer).

       datatype  Datatype of elements of send buffer (handle).

       op	 Operation (handle).

       comm	 Communicator (handle).

OUTPUT PARAMETERS

       recvbuf	 Starting address of receive buffer (choice).

       IERROR	 Fortran only: Error status (integer).

DESCRIPTION

       Same as MPI_Reduce except that the result appears in the receive buffer of all the group members.

       Example	1:  A  routine that computes the product of a vector and an array that are distributed across a group of processes and returns the
       answer at all nodes (compare with Example 2, with MPI_Reduce, below).

       SUBROUTINE PAR_BLAS2(m, n, a, b, c, comm)
       REAL a(m), b(m,n)    ! local slice of array
       REAL c(n)	    ! result
       REAL sum(n)
       INTEGER n, comm, i, j, ierr

       ! local sum
       DO j= 1, n
	 sum(j) = 0.0
	 DO i = 1, m
	   sum(j) = sum(j) + a(i)*b(i,j)
	 END DO
       END DO

       ! global sum
       CALL MPI_ALLREDUCE(sum, c, n, MPI_REAL, MPI_SUM, comm, ierr)

       ! return result at all nodes
       RETURN

       Example 2: A routine that computes the product of a vector and an array that are distributed across a group of processes  and  returns  the
       answer at node zero.

       SUBROUTINE PAR_BLAS2(m, n, a, b, c, comm)
       REAL a(m), b(m,n)    ! local slice of array
       REAL c(n)	    ! result
       REAL sum(n)
       INTEGER n, comm, i, j, ierr

       ! local sum
       DO j= 1, n
	 sum(j) = 0.0
	 DO i = 1, m
	   sum(j) = sum(j) + a(i)*b(i,j)
	 END DO
       END DO

       ! global sum
       CALL MPI_REDUCE(sum, c, n, MPI_REAL, MPI_SUM, 0, comm, ierr)

       ! return result at node zero (and garbage at the other nodes)
       RETURN

USE OF IN-PLACE OPTION
       When  the  communicator	is  an intracommunicator, you can perform an all-reduce operation in-place (the output buffer is used as the input
       buffer).  Use the variable MPI_IN_PLACE as the value of sendbuf at all processes.

       Note that MPI_IN_PLACE is a special kind of value; it has the same restrictions on its use as MPI_BOTTOM.

       Because the in-place option converts the receive buffer into a send-and-receive buffer, a Fortran binding that includes	INTENT	must  mark
       these as INOUT, not OUT.

WHEN COMMUNICATOR IS AN INTER-COMMUNICATOR
       When the communicator is an inter-communicator, the reduce operation occurs in two phases.  The data is reduced from all the members of the
       first group and received by all the members of the second group.  Then the data is reduced 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.

NOTES ON COLLECTIVE OPERATIONS

       The  reduction functions ( MPI_Op ) do not return an error value.  As a result, if the functions detect an error, all they can do is either
       call MPI_Abort or silently skip the problem.  Thus, if you change the error handler from MPI_ERRORS_ARE_FATAL to something else, for  exam-
       ple, MPI_ERRORS_RETURN , then no error may be indicated.

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.

Open MPI 1.2							    March 2007						   MPI_Allreduce(3OpenMPI)