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NAME

       shmem_comp4_prod_to_all(3),           shmem_comp8_prod_to_all(3),          shmem_complexd_prod_to_all(3),
       shmem_complexf_prod_to_all(3),          shmem_double_prod_to_all(3),          shmem_float_prod_to_all(3),
       shmem_int_prod_to_all(3),              shmem_int4_prod_to_all(3),              shmem_int8_prod_to_all(3),
       shmem_long_prod_to_all(3),        shmem_longdouble_prod_to_all(3),         shmem_longlong_prod_to_all(3),
       shmem_real8_prod_to_all(3),            shmem_real16_prod_to_all(3),           shmem_real4_prod_to_all(3),
       shmem_short_prod_to_all(3) - Performs a product reduction across a set of processing elements (PEs)

SYNOPSIS

       C or C++:
       #include <mpp/shmem.h>

       void shmem_complexd_prod_to_all(double complex *target,
         const double complex *source, int nreduce, int PE_start,
         int logPE_stride, int PE_size, double complex *pWrk,
         long *pSync);

       void shmem_complexf_prod_to_all(float complex *target,
         const float complex *source, int nreduce, int PE_start,
         int logPE_stride, int PE_size, float complex *pWrk,
         long *pSync);

       void shmem_double_prod_to_all(double *target, const double *source,
         int nreduce, int PE_start, int logPE_stride, int PE_size,
         double *pWrk, long *pSync);

       void shmem_float_prod_to_all(float *target, const float *source,
         int nreduce, int PE_start, int logPE_stride, int PE_size,
         float *pWrk, long *pSync);

       void shmem_int_prod_to_all(int *target, const int *source,
         int nreduce, int PE_start, int logPE_stride, int PE_size,
         int *pWrk, long *pSync);

       void shmem_long_prod_to_all(long *target, const long *source,
         int nreduce, int PE_start, int logPE_stride, int PE_size,
         long *pWrk, long *pSync);

       void shmem_longdouble_prod_to_all(long double *target,
         const long double *source, int nreduce, int PE_start,
         int logPE_stride, int PE_size, long double *pWrk,
         long *pSync);

       void shmem_longlong_prod_to_all(long long *target,
         const long long *source, int nreduce, int PE_start,
         int logPE_stride, int PE_size, long long *pWrk,
         long *pSync);

       void shmem_short_prod_to_all(short *target, const short *source,
         int nreduce, int PE_start, int logPE_stride, int PE_size,
         short *pWrk, long *pSync);

       Fortran:
       INCLUDE "mpp/shmem.fh"

       INTEGER pSync(SHMEM_REDUCE_SYNC_SIZE)
       INTEGER nreduce, PE_start, logPE_stride, PE_size

       CALL SHMEM_COMP4_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

       CALL SHMEM_COMP8_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

       CALL SHMEM_INT4_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

       CALL SHMEM_INT8_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

       CALL SHMEM_REAL4_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

       CALL SHMEM_REAL8_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

       CALL SHMEM_REAL16_PROD_TO_ALL(target, source, nreduce, PE_start,
       & logPE_stride, PE_size, pWrk, pSync)

DESCRIPTION

       The shared memory (SHMEM) reduction routines compute one or more reductions across  symmetric  arrays  on
       multiple  virtual PEs. A reduction performs an associative binary operation across a set of values. For a
       list of other SHMEM reduction routines, see intro_shmem(3).

       As with all SHMEM collective routines, each of these routines assumes that only PEs  in  the  active  set
       call  the  routine.  If  a  PE not in the active set calls a SHMEM collective routine, undefined behavior
       results.

       The nreduce argument determines the number of separate reductions to perform. The source array on all PEs
       in  the  active  set provides one element for each reduction. The results of the reductions are placed in
       the target array on all PEs in the active set. The active set is defined by the  PE_start,  logPE_stride,
       PE_size triplet.

       The source and target arrays may be the same array, but they may not be overlapping arrays.

       The arguments are as follows:

       target A  symmetric  array of length nreduce elements to receive the results of the reduction operations.
              The data type of target varies with the version of the reduction  routine  being  called  and  the
              language  used.  When calling from C/C++, refer to the SYNOPSIS section for data type information.
              When calling from Fortran, the target data types are as follows:

              shmem_comp4_prod_to_all: Complex, with an element size equal to two
                     4-byte real values.

              shmem_comp8_prod_to_all: Complex, with an element size equal to two
                     8-byte real values.

              shmem_int4_prod_to_all: Integer, with an element size of 4 bytes

              shmem_int8_prod_to_all: Integer, with an element size of 8 bytes

              shmem_real4_prod_to_all: Real, with an element size of 4 bytes

              shmem_real8_prod_to_all: Real, with an element size of 8 bytes

              shmem_real16_prod_to_all: Real, with an element size of 16 bytes

       source A symmetric array, of length nreduce  elements,  that  contains  one  element  for  each  separate
              reduction operation. The source argument must have the same data type as target.

       nreduce
              The  number  of  elements in the target and source arrays. nreduce must be of type integer. If you
              are using Fortran, it must be a default integer value.

       PE_start
              The lowest virtual PE number of the active set of PEs. PE_start must be of type  integer.  If  you
              are using Fortran, it must be a default integer value.

       logPE_stride
              The  log  (base  2)  of  the  stride  between  consecutive  virtual  PE numbers in the active set.
              logPE_stride must be of type integer. If you are using Fortran,  it  must  be  a  default  integer
              value.

       PE_size
              The number of PEs in the active set. PE_size must be of type integer. If you are using Fortran, it
              must be a default integer value.

       pWrk   A symmetric work array. The pWrk argument must have the same data type as target. In  C/C++,  this
              contains  max(nreduce/2  +  1, _SHMEM_REDUCE_MIN_WRKDATA_SIZE) elements. In Fortran, this contains
              max(nreduce/2 + 1, SHMEM_REDUCE_MIN_WRKDATA_SIZE) elements.

       pSync  A symmetric work array. In C/C++, pSync is of  type  long  and  size  _SHMEM_REDUCE_SYNC_SIZE.  In
              Fortran,  pSync  is  of type integer and size SHMEM_REDUCE_SYNC_SIZE. If you are using Fortran, it
              must be a default integer value.  Before any of the PEs in the  active  set  enter  the  reduction
              routine,  every  element  of  this  array must be initialized with the value _SHMEM_SYNC_VALUE (in
              C/C++) or SHMEM_SYNC_VALUE (in Fortran).

       The values of arguments nreduce, PE_start, logPE_stride, and PE_size must be equal  on  all  PEs  in  the
       active set. The same target and source arrays, and the same pWrk and pSync work arrays, must be passed to
       all PEs in the active set. Before any PE calls a reduction routine, you must ensure  that  the  following
       conditions exist (synchronization via a barrier or some other method is often needed to ensure this): The
       pWrk and pSync arrays on all PEs in the active set are not still in use from a prior call to a collective
       SHMEM  routine.  The  target  array  on  all  PEs in the active set is ready to accept the results of the
       reduction.

       Upon return from a reduction routine, the following are true for  the  local  PE:  The  target  array  is
       updated. The values in the pSync array are restored to the original values.

NOTES

       The  terms  collective,  symmetric, and cache aligned are defined in intro_shmem(3).  All SHMEM reduction
       routines reset the values in pSync before they  return,  so  a  particular  pSync  buffer  need  only  be
       initialized the first time it is used.

       You  must  ensure  that the pSync array is not being updated on any PE in the active set while any of the
       PEs participate in processing of a SHMEM reduction routine. Be careful of the  following  situations:  If
       the pSync array is initialized at run time, some type of synchronization is needed to ensure that all PEs
       in the working set have initialized pSync before any of them enter a SHMEM routine called with the  pSync
       synchronization array. A pSync or pWrk array can be reused in a subsequent reduction routine call only if
       none of the PEs in the active set are still processing a prior reduction routine call that used the  same
       pSync  or  pWrk  arrays.  In  general,  this  can  be assured only by doing some type of synchronization.
       However, in the special case of reduction routines being  called  with  the  same  active  set,  you  can
       allocate two pSync and pWrk arrays and alternate between them on successive calls.

EXAMPLES

       Example  1: This Fortran example statically initializes the pSync array and finds the product of the real
       variable FOO across all the even PEs.
       INCLUDE "mpp/shmem.fh"

       INTEGER PSYNC(SHMEM_REDUCE_SYNC_SIZE)
       DATA PSYNC /SHMEM_REDUCE_SYNC_SIZE*SHMEM_SYNC_VALUE/
       PARAMETER (NR=1)
       REAL FOO, FOOPROD, PWRK(MAX(NR/2+1,SHMEM_REDUCE_MIN_WRKDATA_SIZE))
       COMMON /COM/ FOO, FOOPROD, PWRK
       INTRINSIC MY_PE

       IF ( MOD(MY_PE(),2) .EQ. 0) THEN
         CALL SHMEM_COMP8_PROD_TO_ALL(FOOPROD, FOO, NR, 0, 1, N$PES/2,
         & PWRK, PSYNC)
         PRINT *, 'Result on PE ', MY_PE(), ' is ', FOOPROD
       ENDIF

       Example 2: Consider the following C/C++ call:
       shmem_short_prod_to_all(target, source, 3, 0, 0, 8, pwrk, psync);

       The preceding call is more efficient, but semantically equivalent to, the combination  of  the  following
       calls:
       shmem_short_prod_to_all(&(target[0]), &(source[0]), 1, 0, 0, 8,
         pwrk1, psync1);
       shmem_short_prod_to_all(&(target[1]), &(source[1]), 1, 0, 0, 8,
         pwrk2, psync2);
       shmem_short_prod_to_all(&(target[2]), &(source[2]), 1, 0, 0, 8,
         pwrk1, psync1);

       Note  that  two  sets  of  pWrk  and pSync arrays are used alternately because no synchronization is done
       between calls.

SEE ALSO

       intro_shmem(3)