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MPI_Reduce_local(3)                Open MPI                MPI_Reduce_local(3)

NAME
       MPI_Reduce_local - Perform a local reduction

SYNTAX
C Syntax
       #include <mpi.h>
       int MPI_Reduce_local(const void *inbuf, void *inoutbuf, int count,
            MPI_Datatype datatype, MPI_Op op)

Fortran Syntax
       USE MPI
       ! or the older form: INCLUDE 'mpif.h'
       MPI_REDUCE_LOCAL(INBUF, INOUTBUF, COUNT, DATATYPE, OP, IERROR)
            <type>    INBUF(*), INOUTBUF(*)
            INTEGER   COUNT, DATATYPE, OP, IERROR

Fortran 2008 Syntax
       USE mpi_f08
       MPI_Reduce_local(inbuf, inoutbuf, count, datatype, op, ierror)
            TYPE(*), DIMENSION(..), INTENT(IN) :: inbuf
            TYPE(*), DIMENSION(..) :: inoutbuf
            INTEGER, INTENT(IN) :: count
            TYPE(MPI_Datatype), INTENT(IN) :: datatype
            TYPE(MPI_Op), INTENT(IN) :: op
            INTEGER, OPTIONAL, INTENT(OUT) :: ierror

C++ Syntax
       #include <mpi.h>
       void MPI::Op::Reduce_local(const void* inbuf, void* inoutbuf,
            int count, const MPI::Datatype& datatype, const MPI::Op& op) const

INPUT PARAMETERS
       inbuf     Address of input buffer (choice).

       count     Number of elements in input buffer (integer).

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

       op        Reduce operation (handle).

OUTPUT PARAMETERS
       inoutbuf  Address of in/out buffer (choice).

       IERROR    Fortran only: Error status (integer).

DESCRIPTION
       The   global   reduce   functions   (MPI_Reduce_local,   MPI_Op_create,
       MPI_Op_free, MPI_Allreduce, MPI_Reduce_local_scatter, MPI_Scan) perform
       a  global reduce operation (such as sum, max, logical AND, etc.) across
       all the members of a group. The reduction operation can be  either  one
       of  a  predefined  list of operations, or a user-defined operation. The
       global reduction functions come in several flavors: a reduce  that  re-
       turns  the  result of the reduction at one node, an all-reduce that re-
       turns this result at all nodes, and a scan (parallel prefix) operation.
       In addition, a reduce-scatter operation combines the functionality of a
       reduce and a scatter operation.

       MPI_Reduce_local combines the elements provided in the  input  and  in-
       put/output  buffers  of  the local process, using the operation op, and
       returns the combined value in the inout/output buffer. The input buffer
       is defined by the arguments inbuf, count, and datatype; the output buf-
       fer is defined by the arguments inoutbuf,  count,  and  datatype;  both
       have  the same number of elements, with the same type. The routine is a
       local call.  The process can provide one element, or a sequence of ele-
       ments,  in which case the combine operation is executed element-wise on
       each entry of the sequence. For example, if the  operation  is  MPI_MAX
       and the input buffer contains two elements that are floating-point num-
       bers (count = 2 and datatype = MPI_FLOAT), then  inoutbuf(1)  =  global
       max (inbuf(1)) and inoutbuf(2) = global max(inbuf(2)).

USE OF IN-PLACE OPTION
       The use of MPI_IN_PLACE is disallowed with MPI_Reduce_local.

PREDEFINED REDUCE OPERATIONS
       The  set of predefined operations provided by MPI is listed below (Pre-
       defined Reduce Operations). That section also enumerates the  datatypes
       each  operation  can be applied to. In addition, users may define their
       own operations that can be overloaded to operate on several  datatypes,
       either  basic  or derived. This is further explained in the description
       of the user-defined operations (see the man pages for MPI_Op_create and
       MPI_Op_free).

       The  operation  op  is always assumed to be associative. All predefined
       operations are also assumed to be commutative. Users may define  opera-
       tions  that  are  assumed  to  be associative, but not commutative. The
       ``canonical'' evaluation order of a  reduction  is  determined  by  the
       ranks  of  the  processes in the group. However, the implementation can
       take advantage of associativity, or associativity and commutativity, in
       order  to change the order of evaluation. This may change the result of
       the reduction for operations that are not strictly associative and com-
       mutative, such as floating point addition.

       Predefined  operators work only with the MPI types listed below (Prede-
       fined Reduce Operations, and the section  MINLOC  and  MAXLOC,  below).
       User-defined  operators  may  operate on general, derived datatypes. In
       this case, each argument that the reduce operation is applied to is one
       element  described  by such a datatype, which may contain several basic
       values. This is further explained in Section 4.9.4 of the MPI Standard,
       "User-Defined Operations."

       The  following  predefined operations are supplied for MPI_Reduce_local
       and related functions MPI_Allreduce, MPI_Reduce_scatter, and  MPI_Scan.
       These operations are invoked by placing the following in op:

            Name                Meaning
            ---------           --------------------
            MPI_MAX             maximum
            MPI_MIN             minimum
            MPI_SUM             sum
            MPI_PROD            product
            MPI_LAND            logical and
            MPI_BAND            bit-wise and
            MPI_LOR             logical or
            MPI_BOR             bit-wise or
            MPI_LXOR            logical xor
            MPI_BXOR            bit-wise xor
            MPI_MAXLOC          max value and location
            MPI_MINLOC          min value and location

       The  two  operations MPI_MINLOC and MPI_MAXLOC are discussed separately
       below (MINLOC and MAXLOC). For the other predefined operations, we enu-
       merate  below  the  allowed  combinations of op and datatype arguments.
       First, define groups of MPI basic datatypes in the following way:

            C integer:            MPI_INT, MPI_LONG, MPI_SHORT,
                                  MPI_UNSIGNED_SHORT, MPI_UNSIGNED,
                                  MPI_UNSIGNED_LONG
            Fortran integer:      MPI_INTEGER
            Floating-point:       MPI_FLOAT, MPI_DOUBLE, MPI_REAL,
                                  MPI_DOUBLE_PRECISION, MPI_LONG_DOUBLE
            Logical:              MPI_LOGICAL
            Complex:              MPI_COMPLEX
            Byte:                 MPI_BYTE

       Now, the valid datatypes for each option is specified below.

            Op                       Allowed Types
            ----------------         ---------------------------
            MPI_MAX, MPI_MIN         C integer, Fortran integer,
                                     floating-point

            MPI_SUM, MPI_PROD        C integer, Fortran integer,
                                     floating-point, complex

            MPI_LAND, MPI_LOR,       C integer, logical
            MPI_LXOR

            MPI_BAND, MPI_BOR,       C integer, Fortran integer, byte
            MPI_BXOR

MINLOC AND MAXLOC
       The operator MPI_MINLOC is used to compute a global minimum and also an
       index  attached  to  the minimum value. MPI_MAXLOC similarly computes a
       global maximum and index. One application of  these  is  to  compute  a
       global  minimum  (maximum)  and the rank of the process containing this
       value.

       The operation that defines MPI_MAXLOC is

                ( u )    (  v )      ( w )
                (   )  o (    )   =  (   )
                ( i )    (  j )      ( k )

       where

           w = max(u, v)

       and

                ( i            if u > v
                (
          k   = ( min(i, j)    if u = v
                (
                (  j           if u < v)

       MPI_MINLOC is defined similarly:

                ( u )    (  v )      ( w )
                (   )  o (    )   =  (   )
                ( i )    (  j )      ( k )

       where

           w = min(u, v)

       and

                ( i            if u < v
                (
          k   = ( min(i, j)    if u = v
                (
                (  j           if u > v)

       Both  operations  are  associative  and  commutative.  Note   that   if
       MPI_MAXLOC  is  applied to reduce a sequence of pairs (u(0), 0), (u(1),
       1), ..., (u(n-1), n-1), then the value returned is (u ,  r),  where  u=
       max(i)  u(i)  and r is the index of the first global maximum in the se-
       quence. Thus, if each process supplies a value and its rank within  the
       group,  then  a  reduce  operation with op = MPI_MAXLOC will return the
       maximum value and the rank of the first process with that value.  Simi-
       larly,  MPI_MINLOC  can be used to return a minimum and its index. More
       generally, MPI_MINLOC computes a lexicographic minimum, where  elements
       are ordered according to the first component of each pair, and ties are
       resolved according to the second component.

       The reduce operation is defined to operate on arguments that consist of
       a  pair: value and index. For both Fortran and C, types are provided to
       describe the pair. The potentially mixed-type nature of such  arguments
       is  a  problem in Fortran. The problem is circumvented, for Fortran, by
       having the MPI-provided type consist of a pair  of  the  same  type  as
       value, and coercing the index to this type also. In C, the MPI-provided
       pair type has distinct types and the index is an int.

       In order to use MPI_MINLOC and MPI_MAXLOC in a  reduce  operation,  one
       must  provide a datatype argument that represents a pair (value and in-
       dex). MPI provides  nine  such  predefined  datatypes.  The  operations
       MPI_MAXLOC  and  MPI_MINLOC  can  be  used  with  each of the following
       datatypes:

           Fortran:
           Name                     Description
           MPI_2REAL                pair of REALs
           MPI_2DOUBLE_PRECISION    pair of DOUBLE-PRECISION variables
           MPI_2INTEGER             pair of INTEGERs

           C:
           Name                 Description
           MPI_FLOAT_INT            float and int
           MPI_DOUBLE_INT           double and int
           MPI_LONG_INT             long and int
           MPI_2INT                 pair of ints
           MPI_SHORT_INT            short and int
           MPI_LONG_DOUBLE_INT      long double and int

       The data type MPI_2REAL is equivalent to:
           MPI_TYPE_CONTIGUOUS(2, MPI_REAL, MPI_2REAL)

       Similar statements apply for MPI_2INTEGER,  MPI_2DOUBLE_PRECISION,  and
       MPI_2INT.

       The  datatype  MPI_FLOAT_INT is as if defined by the following sequence
       of instructions.

           type[0] = MPI_FLOAT
           type[1] = MPI_INT
           disp[0] = 0
           disp[1] = sizeof(float)
           block[0] = 1
           block[1] = 1
           MPI_TYPE_STRUCT(2, block, disp, type, MPI_FLOAT_INT)

       Similar statements apply for MPI_LONG_INT and MPI_DOUBLE_INT.

       All MPI objects (e.g., MPI_Datatype, MPI_Comm) are of type  INTEGER  in
       Fortran.

NOTES ON COLLECTIVE OPERATIONS
       The  reduction operators ( 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.

       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 ALSO
       MPI_Allreduce
       MPI_Reduce
       MPI_Reduce_scatter
       MPI_Scan
       MPI_Op_create
       MPI_Op_free

4.1.2                            Nov 24, 2021              MPI_Reduce_local(3)

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