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NAME

       MPI_Exscan - Computes an exclusive scan (partial reduction)

SYNTAX

C Syntax

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

Fortran Syntax

       INCLUDE ’mpif.h’
       MPI_SCAN(SENDBUF, RECVBUF, COUNT, DATATYPE, OP, COMM, IERROR)
            <type>    SENDBUF(*), RECVBUF(*)
            INTEGER   COUNT, DATATYPE, OP, COMM, IERROR

C++ Syntax

       #include <mpi.h>
       void MPI::Intracomm::Exscan(const void* sendbuf, void* recvbuf,
            int count, const MPI::Datatype& datatype,
            const MPI::Op& op) const

INPUT PARAMETERS

       sendbuf   Send buffer (choice).

       count     Number of elements in input buffer (integer).

       datatype  Data type of elements of input buffer (handle).

       op        Operation (handle).

       comm      Communicator (handle).

OUTPUT PARAMETERS

       recvbuf   Receive buffer (choice).

       IERROR    Fortran only: Error status (integer).

DESCRIPTION

       MPI_Exscan  is  used  to  perform an exclusive prefix reduction on data
       distributed across the calling processes. The operation returns, in the
       recvbuf of the process with rank i, the reduction (calculated according
       to the function op) of the values in the  sendbufs  of  processes  with
       ranks  0,  ...,  i-1.  Compare this with the functionality of MPI_Scan,
       which calculates over the range 0, ...,  i  (inclusive).  The  type  of
       operations  supported, their semantics, and the constraints on send and
       receive buffers are as for MPI_Reduce.

       The value in recvbuf on  process  0  is  undefined  and  unreliable  as
       recvbuf  is  not  significant  for  process  0. The value of recvbuf on
       process 1 is always the value in sendbuf on process 0.

       No MPI_IN_PLACE operation is supported.

NOTES

       MPI does  not  specify  which  process  computes  which  operation.  In
       particular,  both  processes 0 and 1 may participate in the computation
       even though the results for both  processes’  recvbuf  are  degenerate.
       Therefore,  all processes, including 0 and 1, must provide the same op.

       It can be argued, from a mathematical perspective, that the  definition
       of  MPI_Exscan  is  unsatisfactory  because  the output at process 0 is
       undefined.  The "mathematically correct" output for process 0 would  be
       the unit element of the reduction operation. However, such a definition
       of an exclusive scan would not work with user-defined op  functions  as
       there  is  no  way  for  MPI  to "know" the unit value for these custom
       operations.

NOTES ON COLLECTIVE OPERATIONS

       The reduction functions of type 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 the  error
       handler  is  changed from MPI_ERRORS_ARE_FATAL to something else (e.g.,
       MPI_ERRORS_RETURN), then no error may be indicated.

       The reason for this is the performance problems in  ensuring  that  all
       collective routines return the same error value.

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 the MPI man page for a full list of MPI error codes.

SEE ALSO

       MPI_Op_create
       MPI_Reduce
       MPI_Scan