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MPI_Allreduce.3.rst

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MPI_Allreduce

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

SYNTAX

C Syntax

#include <mpi.h>

int MPI_Allreduce(const void *sendbuf, void *recvbuf, int count,
                  MPI_Datatype datatype, MPI_Op op, MPI_Comm comm)

int MPI_Iallreduce(const void *sendbuf, void *recvbuf, int count,
                   MPI_Datatype datatype, MPI_Op op, MPI_Comm comm,
                   MPI_Request *request)

int MPI_Allreduce_init(const void *sendbuf, void *recvbuf, int count,
                       MPI_Datatype datatype, MPI_Op op, MPI_Comm comm,
                       MPI_Info info, MPI_Request *request)

Fortran Syntax

USE MPI
! or the older form: INCLUDE 'mpif.h'
MPI_ALLREDUCE(SENDBUF, RECVBUF, COUNT, DATATYPE, OP, COMM, IERROR)
 <type>  SENDBUF(*), RECVBUF(*)
 INTEGER COUNT, DATATYPE, OP, COMM, IERROR

MPI_IALLREDUCE(SENDBUF, RECVBUF, COUNT, DATATYPE, OP, COMM, REQUEST, IERROR)
 <type>  SENDBUF(*), RECVBUF(*)
 INTEGER COUNT, DATATYPE, OP, COMM, REQUEST, IERROR

MPI_ALLREDUCE_INIT(SENDBUF, RECVBUF, COUNT, DATATYPE, OP, COMM, INFO, REQUEST, IERROR)
 <type>  SENDBUF(*), RECVBUF(*)
 INTEGER COUNT, DATATYPE, OP, COMM, INFO, REQUEST, IERROR

Fortran 2008 Syntax

USE mpi_f08
MPI_Allreduce(sendbuf, recvbuf, count, datatype, op, comm, ierror)
 TYPE(*), DIMENSION(..), INTENT(IN) :: sendbuf
 TYPE(*), DIMENSION(..) :: recvbuf
 INTEGER, INTENT(IN) :: count
 TYPE(MPI_Datatype), INTENT(IN) :: datatype
 TYPE(MPI_Op), INTENT(IN) :: op
 TYPE(MPI_Comm), INTENT(IN) :: comm
 INTEGER, OPTIONAL, INTENT(OUT) :: ierror

MPI_Iallreduce(sendbuf, recvbuf, count, datatype, op, comm, request,
     ierror)
 TYPE(*), DIMENSION(..), INTENT(IN), ASYNCHRONOUS :: sendbuf
 TYPE(*), DIMENSION(..), ASYNCHRONOUS :: recvbuf
 INTEGER, INTENT(IN) :: count
 TYPE(MPI_Datatype), INTENT(IN) :: datatype
 TYPE(MPI_Op), INTENT(IN) :: op
 TYPE(MPI_Comm), INTENT(IN) :: comm
 TYPE(MPI_Request), INTENT(OUT) :: request
 INTEGER, OPTIONAL, INTENT(OUT) :: ierror

MPI_Allreduce_init(sendbuf, recvbuf, count, datatype, op, comm, info, request,
     ierror)
 TYPE(*), DIMENSION(..), INTENT(IN), ASYNCHRONOUS :: sendbuf
 TYPE(*), DIMENSION(..), ASYNCHRONOUS :: recvbuf
 INTEGER, INTENT(IN) :: count
 TYPE(MPI_Datatype), INTENT(IN) :: datatype
 TYPE(MPI_Op), INTENT(IN) :: op
 TYPE(MPI_Comm), INTENT(IN) :: comm
 TYPE(MPI_Info), INTENT(IN) :: info
 TYPE(MPI_Request), INTENT(OUT) :: request
 INTEGER, OPTIONAL, INTENT(OUT) :: ierror

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).
  • info: Info (handle, persistent only).

OUTPUT PARAMETERS

  • recvbuf: Starting address of receive buffer (choice).
  • request: Request (handle, non-blocking only).
  • 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.

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 example, MPI_ERRORS_RETURN , then no error may be indicated.

ERRORS