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MPI_Scan(3)                        Open MPI                        MPI_Scan(3)

NAME
       MPI_Scan, MPI_Iscan - Computes an inclusive scan (partial reduction)

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

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

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

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

Fortran 2008 Syntax
       USE  mpi_f08 MPI_Scan(sendbuf, recvbuf, count, datatype, op, comm, ier-
       ror)      TYPE(*), DIMENSION(..), INTENT(IN) ::  sendbuf       TYPE(*),
       DIMENSION(..)    ::   recvbuf        INTEGER,   INTENT(IN)   ::   count
            TYPE(MPI_Datatype), INTENT(IN) :: datatype      TYPE(MPI_Op),  IN-
       TENT(IN)  ::  op       TYPE(MPI_Comm), INTENT(IN) :: comm      INTEGER,
       OPTIONAL, INTENT(OUT) :: ierror

       MPI_Iscan(sendbuf, recvbuf, count, datatype, op, comm, request, ierror)
            TYPE(*),   DIMENSION(..),   INTENT(IN),  ASYNCHRONOUS  ::  sendbuf
            TYPE(*), DIMENSION(..), ASYNCHRONOUS :: recvbuf      INTEGER,  IN-
       TENT(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, OP-
       TIONAL, INTENT(OUT) :: ierror

C++ Syntax
       #include <mpi.h>
       void MPI::Intracomm::Scan(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).

       request   Request (handle, non-blocking only).

       IERROR    Fortran only: Error status (integer).

DESCRIPTION
       MPI_Scan is used to perform an inclusive prefix reduction on data  dis-
       tributed  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 (inclusive). The type of  operations  supported,  their
       semantics,  and  the constraints on send and receive buffers are as for
       MPI_Reduce.

EXAMPLE
       This example uses a user-defined operation to produce a segmented scan.
       A  segmented  scan  takes, as input, a set of values and a set of logi-
       cals, where the logicals delineate the various segments  of  the  scan.
       For example,

       values     v1      v2      v3      v4      v5      v6      v7      v8
       logicals   0       0       1       1       1       0       0       1
       result     v1    v1+v2     v3    v3+v4  v3+v4+v5   v6    v6+v7     v8

       The result for rank j is thus the sum v(i) + ... + v(j), where i is the
       lowest rank such that for all ranks n, i <= n <= j, logical(n) =  logi-
       cal(j). The operator that produces this effect is

             [ u ]     [ v ]     [ w ]
             [   ]  o  [   ]  =  [   ]
             [ i ]     [ j ]     [ j ]

       where

                   ( u + v if i  = j
             w  =  (
                   ( v     if i != j

       Note  that this is a noncommutative operator. C code that implements it
       is given below.

            typedef struct {
                 double val;
                 int log;
            } SegScanPair;

            /*
             * the user-defined function
             */
            void segScan(SegScanPair *in, SegScanPair *inout, int *len,
                 MPI_Datatype *dptr)
            {
                 int i;
                 SegScanPair c;

                 for (i = 0; i < *len; ++i) {
                      if (in->log == inout->log)
                           c.val = in->val + inout->val;
                      else
                           c.val = inout->val;

                      c.log = inout->log;
                      *inout = c;
                      in++;
                      inout++;
                 }
            }

       Note that the inout argument to the user-defined  function  corresponds
       to the right-hand operand of the operator. When using this operator, we
       must be careful to specify that it is noncommutative, as in the follow-
       ing:

            int            i, base;
            SeqScanPair    a, answer;
            MPI_Op         myOp;
            MPI_Datatype   type[2] = {MPI_DOUBLE, MPI_INT};
            MPI_Aint       disp[2];
            int            blocklen[2] = {1, 1};
            MPI_Datatype   sspair;

            /*
             * explain to MPI how type SegScanPair is defined
             */
            MPI_Get_address(a, disp);
            MPI_Get_address(a.log, disp + 1);
            base = disp[0];
            for (i = 0; i < 2; ++i)
                 disp[i] -= base;
            MPI_Type_struct(2, blocklen, disp, type, &sspair);
            MPI_Type_commit(&sspair);

            /*
             * create the segmented-scan user-op
             * noncommutative - set commute (arg 2) to 0
             */
            MPI_Op_create((MPI_User_function *)segScan, 0, &myOp);
            ...
            MPI_Scan(a, answer, 1, sspair, myOp, comm);

USE OF IN-PLACE OPTION
       When  the communicator is an intracommunicator, you can perform a scan-
       ning operation in place (the output buffer is used as  the  input  buf-
       fer).   Use the variable MPI_IN_PLACE as the value of the sendbuf argu-
       ment.  The input data is taken from the receive buffer and replaced  by
       the output data.

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  ei-
       ther  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++ 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 the MPI man page for a full list of MPI error codes.

SEE ALSO
       MPI_Exscan
       MPI_Op_create
       MPI_Reduce

4.1.2                            Nov 24, 2021                      MPI_Scan(3)

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