openmp/runtime/src/kmp_sched.cpp

/*
 * kmp_sched.c -- static scheduling -- iteration initialization
 */


//===----------------------------------------------------------------------===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is dual licensed under the MIT and the University of Illinois Open
// Source Licenses. See LICENSE.txt for details.
//
//===----------------------------------------------------------------------===//


/*
 * Static scheduling initialization.
 *
 * NOTE: team->t.t_nproc is a constant inside of any dispatch loop, however
 *       it may change values between parallel regions.  __kmp_max_nth
 *       is the largest value __kmp_nth may take, 1 is the smallest.
 *
 */

#include "kmp.h"
#include "kmp_i18n.h"
#include "kmp_str.h"
#include "kmp_error.h"
#include "kmp_stats.h"
#include "kmp_itt.h"

#if OMPT_SUPPORT
#include "ompt-specific.h"
#endif

// template for type limits
template< typename T >
struct i_maxmin {
    static const T mx;
    static const T mn;
};
template<>
struct i_maxmin< int > {
    static const int mx = 0x7fffffff;
    static const int mn = 0x80000000;
};
template<>
struct i_maxmin< unsigned int > {
    static const unsigned int mx = 0xffffffff;
    static const unsigned int mn = 0x00000000;
};
template<>
struct i_maxmin< long long > {
    static const long long mx = 0x7fffffffffffffffLL;
    static const long long mn = 0x8000000000000000LL;
};
template<>
struct i_maxmin< unsigned long long > {
    static const unsigned long long mx = 0xffffffffffffffffLL;
    static const unsigned long long mn = 0x0000000000000000LL;
};
//-------------------------------------------------------------------------
#ifdef KMP_DEBUG
//-------------------------------------------------------------------------
// template for debug prints specification ( d, u, lld, llu )
    char const * traits_t< int >::spec = "d";
    char const * traits_t< unsigned int >::spec = "u";
    char const * traits_t< long long >::spec = "lld";
    char const * traits_t< unsigned long long >::spec = "llu";
//-------------------------------------------------------------------------
#endif

template< typename T >
static void
__kmp_for_static_init(
    ident_t                          *loc,
    kmp_int32                         global_tid,
    kmp_int32                         schedtype,
    kmp_int32                        *plastiter,
    T                                *plower,
    T                                *pupper,
    typename traits_t< T >::signed_t *pstride,
    typename traits_t< T >::signed_t  incr,
    typename traits_t< T >::signed_t  chunk
) {
    KMP_COUNT_BLOCK(OMP_FOR_static);
    KMP_TIME_PARTITIONED_BLOCK(FOR_static_scheduling);

    typedef typename traits_t< T >::unsigned_t  UT;
    typedef typename traits_t< T >::signed_t    ST;
    /*  this all has to be changed back to TID and such.. */
    register kmp_int32   gtid = global_tid;
    register kmp_uint32  tid;
    register kmp_uint32  nth;
    register UT          trip_count;
    register kmp_team_t *team;
    register kmp_info_t *th = __kmp_threads[ gtid ];

#if OMPT_SUPPORT && OMPT_TRACE
    ompt_team_info_t *team_info = NULL; 
    ompt_task_info_t *task_info = NULL; 

    if (ompt_enabled) {
        // Only fully initialize variables needed by OMPT if OMPT is enabled.
        team_info = __ompt_get_teaminfo(0, NULL);
        task_info = __ompt_get_taskinfo(0);
    }
#endif

    KMP_DEBUG_ASSERT( plastiter && plower && pupper && pstride );
    KE_TRACE( 10, ("__kmpc_for_static_init called (%d)\n", global_tid));
    #ifdef KMP_DEBUG
    {
        const char * buff;
        // create format specifiers before the debug output
        buff = __kmp_str_format(
            "__kmpc_for_static_init: T#%%d sched=%%d liter=%%d iter=(%%%s," \
            " %%%s, %%%s) incr=%%%s chunk=%%%s signed?<%s>\n",
            traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec,
            traits_t< ST >::spec, traits_t< ST >::spec, traits_t< T >::spec );
        KD_TRACE(100, ( buff, global_tid, schedtype, *plastiter,
            *plower, *pupper, *pstride, incr, chunk ) );
        __kmp_str_free( &buff );
    }
    #endif

    if ( __kmp_env_consistency_check ) {
        __kmp_push_workshare( global_tid, ct_pdo, loc );
        if ( incr == 0 ) {
            __kmp_error_construct( kmp_i18n_msg_CnsLoopIncrZeroProhibited, ct_pdo, loc );
        }
    }
    /* special handling for zero-trip loops */
    if ( incr > 0 ? (*pupper < *plower) : (*plower < *pupper) ) {
        if( plastiter != NULL )
            *plastiter = FALSE;
        /* leave pupper and plower set to entire iteration space */
        *pstride = incr;   /* value should never be used */
	//        *plower = *pupper - incr;   // let compiler bypass the illegal loop (like for(i=1;i<10;i--))  THIS LINE CAUSED shape2F/h_tests_1.f TO HAVE A FAILURE ON A ZERO-TRIP LOOP (lower=1,\
	  upper=0,stride=1) - JPH June 23, 2009.
        #ifdef KMP_DEBUG
        {
            const char * buff;
            // create format specifiers before the debug output
            buff = __kmp_str_format(
                "__kmpc_for_static_init:(ZERO TRIP) liter=%%d lower=%%%s upper=%%%s stride = %%%s signed?<%s>, loc = %%s\n",
                traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec, traits_t< T >::spec );
            KD_TRACE(100, ( buff, *plastiter, *plower, *pupper, *pstride, loc->psource ) );
            __kmp_str_free( &buff );
        }
        #endif
        KE_TRACE( 10, ("__kmpc_for_static_init: T#%d return\n", global_tid ) );

#if OMPT_SUPPORT && OMPT_TRACE
        if (ompt_enabled &&
            ompt_callbacks.ompt_callback(ompt_event_loop_begin)) {
            ompt_callbacks.ompt_callback(ompt_event_loop_begin)(
                team_info->parallel_id, task_info->task_id,
                team_info->microtask);
        }
#endif
        KMP_COUNT_VALUE (FOR_static_iterations, 0);
        return;
    }

    #if OMP_40_ENABLED
    // Although there are schedule enumerations above kmp_ord_upper which are not schedules for "distribute",
    // the only ones which are useful are dynamic, so cannot be seen here, since this codepath is only executed
    // for static schedules.
    if ( schedtype > kmp_ord_upper ) {
        // we are in DISTRIBUTE construct
        schedtype += kmp_sch_static - kmp_distribute_static;      // AC: convert to usual schedule type
        tid  = th->th.th_team->t.t_master_tid;
        team = th->th.th_team->t.t_parent;
    } else
    #endif
    {
        tid  = __kmp_tid_from_gtid( global_tid );
        team = th->th.th_team;
    }

    /* determine if "for" loop is an active worksharing construct */
    if ( team -> t.t_serialized ) {
        /* serialized parallel, each thread executes whole iteration space */
        if( plastiter != NULL )
            *plastiter = TRUE;
        /* leave pupper and plower set to entire iteration space */
        *pstride = (incr > 0) ? (*pupper - *plower + 1) : (-(*plower - *pupper + 1));

        #ifdef KMP_DEBUG
        {
            const char * buff;
            // create format specifiers before the debug output
            buff = __kmp_str_format(
                "__kmpc_for_static_init: (serial) liter=%%d lower=%%%s upper=%%%s stride = %%%s\n",
                traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec );
            KD_TRACE(100, ( buff, *plastiter, *plower, *pupper, *pstride ) );
            __kmp_str_free( &buff );
        }
        #endif
        KE_TRACE( 10, ("__kmpc_for_static_init: T#%d return\n", global_tid ) );

#if OMPT_SUPPORT && OMPT_TRACE
        if (ompt_enabled &&
            ompt_callbacks.ompt_callback(ompt_event_loop_begin)) {
            ompt_callbacks.ompt_callback(ompt_event_loop_begin)(
                team_info->parallel_id, task_info->task_id,
                team_info->microtask);
        }
#endif
        return;
    }
    nth = team->t.t_nproc;
    if ( nth == 1 ) {
        if( plastiter != NULL )
            *plastiter = TRUE;
        *pstride = (incr > 0) ? (*pupper - *plower + 1) : (-(*plower - *pupper + 1));
        #ifdef KMP_DEBUG
        {
            const char * buff;
            // create format specifiers before the debug output
            buff = __kmp_str_format(
                "__kmpc_for_static_init: (serial) liter=%%d lower=%%%s upper=%%%s stride = %%%s\n",
                traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec );
            KD_TRACE(100, ( buff, *plastiter, *plower, *pupper, *pstride ) );
            __kmp_str_free( &buff );
        }
        #endif
        KE_TRACE( 10, ("__kmpc_for_static_init: T#%d return\n", global_tid ) );

#if OMPT_SUPPORT && OMPT_TRACE
        if (ompt_enabled &&
            ompt_callbacks.ompt_callback(ompt_event_loop_begin)) {
            ompt_callbacks.ompt_callback(ompt_event_loop_begin)(
                team_info->parallel_id, task_info->task_id,
                team_info->microtask);
        }
#endif
        return;
    }

    /* compute trip count */
    if ( incr == 1 ) {
        trip_count = *pupper - *plower + 1;
    } else if (incr == -1) {
        trip_count = *plower - *pupper + 1;
    } else if ( incr > 0 ) {
        // upper-lower can exceed the limit of signed type
        trip_count = (UT)(*pupper - *plower) / incr + 1;
    } else {
        trip_count = (UT)(*plower - *pupper) / (-incr) + 1;
    }

    if ( __kmp_env_consistency_check ) {
        /* tripcount overflow? */
        if ( trip_count == 0 && *pupper != *plower ) {
            __kmp_error_construct( kmp_i18n_msg_CnsIterationRangeTooLarge, ct_pdo, loc );
        }
    }
    KMP_COUNT_VALUE (FOR_static_iterations, trip_count);

    /* compute remaining parameters */
    switch ( schedtype ) {
    case kmp_sch_static:
        {
            if ( trip_count < nth ) {
                KMP_DEBUG_ASSERT(
                    __kmp_static == kmp_sch_static_greedy || \
                    __kmp_static == kmp_sch_static_balanced
                ); // Unknown static scheduling type.
                if ( tid < trip_count ) {
                    *pupper = *plower = *plower + tid * incr;
                } else {
                    *plower = *pupper + incr;
                }
                if( plastiter != NULL )
                    *plastiter = ( tid == trip_count - 1 );
            } else {
                if ( __kmp_static == kmp_sch_static_balanced ) {
                    register UT small_chunk = trip_count / nth;
                    register UT extras = trip_count % nth;
                    *plower += incr * ( tid * small_chunk + ( tid < extras ? tid : extras ) );
                    *pupper = *plower + small_chunk * incr - ( tid < extras ? 0 : incr );
                    if( plastiter != NULL )
                        *plastiter = ( tid == nth - 1 );
                } else {
                    register T big_chunk_inc_count = ( trip_count/nth +
                                                     ( ( trip_count % nth ) ? 1 : 0) ) * incr;
                    register T old_upper = *pupper;

                    KMP_DEBUG_ASSERT( __kmp_static == kmp_sch_static_greedy );
                        // Unknown static scheduling type.

                    *plower += tid * big_chunk_inc_count;
                    *pupper = *plower + big_chunk_inc_count - incr;
                    if ( incr > 0 ) {
                        if( *pupper < *plower )
                            *pupper = i_maxmin< T >::mx;
                        if( plastiter != NULL )
                            *plastiter = *plower <= old_upper && *pupper > old_upper - incr;
                        if ( *pupper > old_upper ) *pupper = old_upper; // tracker C73258
                    } else {
                        if( *pupper > *plower )
                            *pupper = i_maxmin< T >::mn;
                        if( plastiter != NULL )
                            *plastiter = *plower >= old_upper && *pupper < old_upper - incr;
                        if ( *pupper < old_upper ) *pupper = old_upper; // tracker C73258
                    }
                }
            }
            break;
        }
    case kmp_sch_static_chunked:
        {
            register ST span;
            if ( chunk < 1 ) {
                chunk = 1;
            }
            span = chunk * incr;
            *pstride = span * nth;
            *plower = *plower + (span * tid);
            *pupper = *plower + span - incr;
            if( plastiter != NULL )
                *plastiter = (tid == ((trip_count - 1)/( UT )chunk) % nth);
            break;
        }
    default:
        KMP_ASSERT2( 0, "__kmpc_for_static_init: unknown scheduling type" );
        break;
    }

#if USE_ITT_BUILD
    // Report loop metadata
    if ( KMP_MASTER_TID(tid) && __itt_metadata_add_ptr && __kmp_forkjoin_frames_mode == 3 &&
#if OMP_40_ENABLED
        th->th.th_teams_microtask == NULL &&
#endif
        team->t.t_active_level == 1 )
    {
        kmp_uint64 cur_chunk = chunk;
        // Calculate chunk in case it was not specified; it is specified for kmp_sch_static_chunked
        if ( schedtype == kmp_sch_static ) {
            cur_chunk = trip_count / nth + ( ( trip_count % nth ) ? 1 : 0);
        }
        // 0 - "static" schedule
        __kmp_itt_metadata_loop(loc, 0, trip_count, cur_chunk);
    }
#endif
    #ifdef KMP_DEBUG
    {
        const char * buff;
        // create format specifiers before the debug output
        buff = __kmp_str_format(
            "__kmpc_for_static_init: liter=%%d lower=%%%s upper=%%%s stride = %%%s signed?<%s>\n",
            traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec, traits_t< T >::spec );
        KD_TRACE(100, ( buff, *plastiter, *plower, *pupper, *pstride ) );
        __kmp_str_free( &buff );
    }
    #endif
    KE_TRACE( 10, ("__kmpc_for_static_init: T#%d return\n", global_tid ) );

#if OMPT_SUPPORT && OMPT_TRACE
    if (ompt_enabled &&
        ompt_callbacks.ompt_callback(ompt_event_loop_begin)) {
        ompt_callbacks.ompt_callback(ompt_event_loop_begin)(
            team_info->parallel_id, task_info->task_id, team_info->microtask);
    }
#endif

    return;
}

template< typename T >
static void
__kmp_dist_for_static_init(
    ident_t                          *loc,
    kmp_int32                         gtid,
    kmp_int32                         schedule,
    kmp_int32                        *plastiter,
    T                                *plower,
    T                                *pupper,
    T                                *pupperDist,
    typename traits_t< T >::signed_t *pstride,
    typename traits_t< T >::signed_t  incr,
    typename traits_t< T >::signed_t  chunk
) {
    KMP_COUNT_BLOCK(OMP_DISTRIBUTE);
    typedef typename traits_t< T >::unsigned_t  UT;
    typedef typename traits_t< T >::signed_t    ST;
    register kmp_uint32  tid;
    register kmp_uint32  nth;
    register kmp_uint32  team_id;
    register kmp_uint32  nteams;
    register UT          trip_count;
    register kmp_team_t *team;
    kmp_info_t * th;

    KMP_DEBUG_ASSERT( plastiter && plower && pupper && pupperDist && pstride );
    KE_TRACE( 10, ("__kmpc_dist_for_static_init called (%d)\n", gtid));
    #ifdef KMP_DEBUG
    {
        const char * buff;
        // create format specifiers before the debug output
        buff = __kmp_str_format(
            "__kmpc_dist_for_static_init: T#%%d schedLoop=%%d liter=%%d "\
            "iter=(%%%s, %%%s, %%%s) chunk=%%%s signed?<%s>\n",
            traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec,
            traits_t< ST >::spec, traits_t< T >::spec );
        KD_TRACE(100, ( buff, gtid, schedule, *plastiter,
                       *plower, *pupper, incr, chunk ) );
        __kmp_str_free( &buff );
    }
    #endif

    if( __kmp_env_consistency_check ) {
        __kmp_push_workshare( gtid, ct_pdo, loc );
        if( incr == 0 ) {
            __kmp_error_construct( kmp_i18n_msg_CnsLoopIncrZeroProhibited, ct_pdo, loc );
        }
        if( incr > 0 ? (*pupper < *plower) : (*plower < *pupper) ) {
            // The loop is illegal.
            // Some zero-trip loops maintained by compiler, e.g.:
            //   for(i=10;i<0;++i) // lower >= upper - run-time check
            //   for(i=0;i>10;--i) // lower <= upper - run-time check
            //   for(i=0;i>10;++i) // incr > 0       - compile-time check
            //   for(i=10;i<0;--i) // incr < 0       - compile-time check
            // Compiler does not check the following illegal loops:
            //   for(i=0;i<10;i+=incr) // where incr<0
            //   for(i=10;i>0;i-=incr) // where incr<0
            __kmp_error_construct( kmp_i18n_msg_CnsLoopIncrIllegal, ct_pdo, loc );
        }
    }
    tid = __kmp_tid_from_gtid( gtid );
    th = __kmp_threads[gtid];
    nth = th->th.th_team_nproc;
    team = th->th.th_team;
    #if OMP_40_ENABLED
    KMP_DEBUG_ASSERT(th->th.th_teams_microtask);   // we are in the teams construct
    nteams = th->th.th_teams_size.nteams;
    #endif
    team_id = team->t.t_master_tid;
    KMP_DEBUG_ASSERT(nteams == team->t.t_parent->t.t_nproc);

    // compute global trip count
    if( incr == 1 ) {
        trip_count = *pupper - *plower + 1;
    } else if(incr == -1) {
        trip_count = *plower - *pupper + 1;
    } else if ( incr > 0 ) {
        // upper-lower can exceed the limit of signed type
        trip_count = (UT)(*pupper - *plower) / incr + 1;
    } else {
        trip_count = (UT)(*plower - *pupper) / (-incr) + 1;
    }

    *pstride = *pupper - *plower;  // just in case (can be unused)
    if( trip_count <= nteams ) {
        KMP_DEBUG_ASSERT(
            __kmp_static == kmp_sch_static_greedy || \
            __kmp_static == kmp_sch_static_balanced
        ); // Unknown static scheduling type.
        // only masters of some teams get single iteration, other threads get nothing
        if( team_id < trip_count && tid == 0 ) {
            *pupper = *pupperDist = *plower = *plower + team_id * incr;
        } else {
            *pupperDist = *pupper;
            *plower = *pupper + incr; // compiler should skip loop body
        }
        if( plastiter != NULL )
            *plastiter = ( tid == 0 && team_id == trip_count - 1 );
    } else {
        // Get the team's chunk first (each team gets at most one chunk)
        if( __kmp_static == kmp_sch_static_balanced ) {
            register UT chunkD = trip_count / nteams;
            register UT extras = trip_count % nteams;
            *plower += incr * ( team_id * chunkD + ( team_id < extras ? team_id : extras ) );
            *pupperDist = *plower + chunkD * incr - ( team_id < extras ? 0 : incr );
            if( plastiter != NULL )
                *plastiter = ( team_id == nteams - 1 );
        } else {
            register T chunk_inc_count =
                ( trip_count / nteams + ( ( trip_count % nteams ) ? 1 : 0) ) * incr;
            register T upper = *pupper;
            KMP_DEBUG_ASSERT( __kmp_static == kmp_sch_static_greedy );
                // Unknown static scheduling type.
            *plower += team_id * chunk_inc_count;
            *pupperDist = *plower + chunk_inc_count - incr;
            // Check/correct bounds if needed
            if( incr > 0 ) {
                if( *pupperDist < *plower )
                    *pupperDist = i_maxmin< T >::mx;
                if( plastiter != NULL )
                    *plastiter = *plower <= upper && *pupperDist > upper - incr;
                if( *pupperDist > upper )
                    *pupperDist = upper; // tracker C73258
                if( *plower > *pupperDist ) {
                    *pupper = *pupperDist;  // no iterations available for the team
                    goto end;
                }
            } else {
                if( *pupperDist > *plower )
                    *pupperDist = i_maxmin< T >::mn;
                if( plastiter != NULL )
                    *plastiter = *plower >= upper && *pupperDist < upper - incr;
                if( *pupperDist < upper )
                    *pupperDist = upper; // tracker C73258
                if( *plower < *pupperDist ) {
                    *pupper = *pupperDist;  // no iterations available for the team
                    goto end;
                }
            }
        }
        // Get the parallel loop chunk now (for thread)
        // compute trip count for team's chunk
        if( incr == 1 ) {
            trip_count = *pupperDist - *plower + 1;
        } else if(incr == -1) {
            trip_count = *plower - *pupperDist + 1;
        } else if ( incr > 1 ) {
            // upper-lower can exceed the limit of signed type
            trip_count = (UT)(*pupperDist - *plower) / incr + 1;
        } else {
            trip_count = (UT)(*plower - *pupperDist) / (-incr) + 1;
        }
        KMP_DEBUG_ASSERT( trip_count );
        switch( schedule ) {
        case kmp_sch_static:
        {
            if( trip_count <= nth ) {
                KMP_DEBUG_ASSERT(
                    __kmp_static == kmp_sch_static_greedy || \
                    __kmp_static == kmp_sch_static_balanced
                ); // Unknown static scheduling type.
                if( tid < trip_count )
                    *pupper = *plower = *plower + tid * incr;
                else
                    *plower = *pupper + incr; // no iterations available
                if( plastiter != NULL )
                    if( *plastiter != 0 && !( tid == trip_count - 1 ) )
                        *plastiter = 0;
            } else {
                if( __kmp_static == kmp_sch_static_balanced ) {
                    register UT chunkL = trip_count / nth;
                    register UT extras = trip_count % nth;
                    *plower += incr * (tid * chunkL + (tid < extras ? tid : extras));
                    *pupper = *plower + chunkL * incr - (tid < extras ? 0 : incr);
                    if( plastiter != NULL )
                        if( *plastiter != 0 && !( tid == nth - 1 ) )
                            *plastiter = 0;
                } else {
                    register T chunk_inc_count =
                        ( trip_count / nth + ( ( trip_count % nth ) ? 1 : 0) ) * incr;
                    register T upper = *pupperDist;
                    KMP_DEBUG_ASSERT( __kmp_static == kmp_sch_static_greedy );
                        // Unknown static scheduling type.
                    *plower += tid * chunk_inc_count;
                    *pupper = *plower + chunk_inc_count - incr;
                    if( incr > 0 ) {
                        if( *pupper < *plower )
                            *pupper = i_maxmin< T >::mx;
                        if( plastiter != NULL )
                            if( *plastiter != 0 && !(*plower <= upper && *pupper > upper - incr) )
                                *plastiter = 0;
                        if( *pupper > upper )
                            *pupper = upper;//tracker C73258
                    } else {
                        if( *pupper > *plower )
                            *pupper = i_maxmin< T >::mn;
                        if( plastiter != NULL )
                            if( *plastiter != 0 && !(*plower >= upper && *pupper < upper - incr) )
                                *plastiter = 0;
                        if( *pupper < upper )
                            *pupper = upper;//tracker C73258
                    }
                }
            }
            break;
        }
        case kmp_sch_static_chunked:
        {
            register ST span;
            if( chunk < 1 )
                chunk = 1;
            span = chunk * incr;
            *pstride = span * nth;
            *plower = *plower + (span * tid);
            *pupper = *plower + span - incr;
            if( plastiter != NULL )
                if( *plastiter != 0 && !(tid == ((trip_count - 1) / ( UT )chunk) % nth) )
                    *plastiter = 0;
            break;
        }
        default:
            KMP_ASSERT2( 0, "__kmpc_dist_for_static_init: unknown loop scheduling type" );
            break;
        }
    }
    end:;
    #ifdef KMP_DEBUG
    {
        const char * buff;
        // create format specifiers before the debug output
        buff = __kmp_str_format(
            "__kmpc_dist_for_static_init: last=%%d lo=%%%s up=%%%s upDist=%%%s "\
            "stride=%%%s signed?<%s>\n",
            traits_t< T >::spec, traits_t< T >::spec, traits_t< T >::spec,
            traits_t< ST >::spec, traits_t< T >::spec );
        KD_TRACE(100, ( buff, *plastiter, *plower, *pupper, *pupperDist, *pstride ) );
        __kmp_str_free( &buff );
    }
    #endif
    KE_TRACE( 10, ("__kmpc_dist_for_static_init: T#%d return\n", gtid ) );
    return;
}

template< typename T >
static void
__kmp_team_static_init(
    ident_t                          *loc,
    kmp_int32                         gtid,
    kmp_int32                        *p_last,
    T                                *p_lb,
    T                                *p_ub,
    typename traits_t< T >::signed_t *p_st,
    typename traits_t< T >::signed_t  incr,
    typename traits_t< T >::signed_t  chunk
) {
    // The routine returns the first chunk distributed to the team and
    // stride for next chunks calculation.
    // Last iteration flag set for the team that will execute
    // the last iteration of the loop.
    // The routine is called for dist_schedue(static,chunk) only.
    typedef typename traits_t< T >::unsigned_t  UT;
    typedef typename traits_t< T >::signed_t    ST;
    kmp_uint32  team_id;
    kmp_uint32  nteams;
    UT          trip_count;
    T           lower;
    T           upper;
    ST          span;
    kmp_team_t *team;
    kmp_info_t *th;

    KMP_DEBUG_ASSERT( p_last && p_lb && p_ub && p_st );
    KE_TRACE( 10, ("__kmp_team_static_init called (%d)\n", gtid));
    #ifdef KMP_DEBUG
    {
        const char * buff;
        // create format specifiers before the debug output
        buff = __kmp_str_format( "__kmp_team_static_init enter: T#%%d liter=%%d "\
            "iter=(%%%s, %%%s, %%%s) chunk %%%s; signed?<%s>\n",
            traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec,
            traits_t< ST >::spec, traits_t< T >::spec );
        KD_TRACE(100, ( buff, gtid, *p_last, *p_lb, *p_ub, *p_st, chunk ) );
        __kmp_str_free( &buff );
    }
    #endif

    lower = *p_lb;
    upper = *p_ub;
    if( __kmp_env_consistency_check ) {
        if( incr == 0 ) {
            __kmp_error_construct( kmp_i18n_msg_CnsLoopIncrZeroProhibited, ct_pdo, loc );
        }
        if( incr > 0 ? (upper < lower) : (lower < upper) ) {
            // The loop is illegal.
            // Some zero-trip loops maintained by compiler, e.g.:
            //   for(i=10;i<0;++i) // lower >= upper - run-time check
            //   for(i=0;i>10;--i) // lower <= upper - run-time check
            //   for(i=0;i>10;++i) // incr > 0       - compile-time check
            //   for(i=10;i<0;--i) // incr < 0       - compile-time check
            // Compiler does not check the following illegal loops:
            //   for(i=0;i<10;i+=incr) // where incr<0
            //   for(i=10;i>0;i-=incr) // where incr<0
            __kmp_error_construct( kmp_i18n_msg_CnsLoopIncrIllegal, ct_pdo, loc );
        }
    }
    th = __kmp_threads[gtid];
    team = th->th.th_team;
    #if OMP_40_ENABLED
    KMP_DEBUG_ASSERT(th->th.th_teams_microtask);   // we are in the teams construct
    nteams = th->th.th_teams_size.nteams;
    #endif
    team_id = team->t.t_master_tid;
    KMP_DEBUG_ASSERT(nteams == team->t.t_parent->t.t_nproc);

    // compute trip count
    if( incr == 1 ) {
        trip_count = upper - lower + 1;
    } else if(incr == -1) {
        trip_count = lower - upper + 1;
    } else if ( incr > 0 ) {
        // upper-lower can exceed the limit of signed type
        trip_count = (UT)(upper - lower) / incr + 1;
    } else {
        trip_count = (UT)(lower - upper) / (-incr) + 1;
    }
    if( chunk < 1 )
        chunk = 1;
    span = chunk * incr;
    *p_st = span * nteams;
    *p_lb = lower + (span * team_id);
    *p_ub = *p_lb + span - incr;
    if ( p_last != NULL )
        *p_last = (team_id == ((trip_count - 1)/(UT)chunk) % nteams);
    // Correct upper bound if needed
    if( incr > 0 ) {
        if( *p_ub < *p_lb ) // overflow?
            *p_ub = i_maxmin< T >::mx;
        if( *p_ub > upper )
            *p_ub = upper; // tracker C73258
    } else {   // incr < 0
        if( *p_ub > *p_lb )
            *p_ub = i_maxmin< T >::mn;
        if( *p_ub < upper )
            *p_ub = upper; // tracker C73258
    }
    #ifdef KMP_DEBUG
    {
        const char * buff;
        // create format specifiers before the debug output
        buff = __kmp_str_format( "__kmp_team_static_init exit: T#%%d team%%u liter=%%d "\
            "iter=(%%%s, %%%s, %%%s) chunk %%%s\n",
            traits_t< T >::spec, traits_t< T >::spec, traits_t< ST >::spec,
            traits_t< ST >::spec );
        KD_TRACE(100, ( buff, gtid, team_id, *p_last, *p_lb, *p_ub, *p_st, chunk ) );
        __kmp_str_free( &buff );
    }
    #endif
}

//--------------------------------------------------------------------------------------
extern "C" {

/*!
@ingroup WORK_SHARING
@param    loc       Source code location
@param    gtid      Global thread id of this thread
@param    schedtype  Scheduling type
@param    plastiter Pointer to the "last iteration" flag
@param    plower    Pointer to the lower bound
@param    pupper    Pointer to the upper bound
@param    pstride   Pointer to the stride
@param    incr      Loop increment
@param    chunk     The chunk size

Each of the four functions here are identical apart from the argument types.

The functions compute the upper and lower bounds and stride to be used for the set of iterations
to be executed by the current thread from the statically scheduled loop that is described by the
initial values of the bounds, stride, increment and chunk size.

@{
*/
void
__kmpc_for_static_init_4( ident_t *loc, kmp_int32 gtid, kmp_int32 schedtype, kmp_int32 *plastiter,
                      kmp_int32 *plower, kmp_int32 *pupper,
                      kmp_int32 *pstride, kmp_int32 incr, kmp_int32 chunk )
{
    __kmp_for_static_init< kmp_int32 >(
                      loc, gtid, schedtype, plastiter, plower, pupper, pstride, incr, chunk );
}

/*!
 See @ref __kmpc_for_static_init_4
 */
void
__kmpc_for_static_init_4u( ident_t *loc, kmp_int32 gtid, kmp_int32 schedtype, kmp_int32 *plastiter,
                      kmp_uint32 *plower, kmp_uint32 *pupper,
                      kmp_int32 *pstride, kmp_int32 incr, kmp_int32 chunk )
{
    __kmp_for_static_init< kmp_uint32 >(
                      loc, gtid, schedtype, plastiter, plower, pupper, pstride, incr, chunk );
}

/*!
 See @ref __kmpc_for_static_init_4
 */
void
__kmpc_for_static_init_8( ident_t *loc, kmp_int32 gtid, kmp_int32 schedtype, kmp_int32 *plastiter,
                      kmp_int64 *plower, kmp_int64 *pupper,
                      kmp_int64 *pstride, kmp_int64 incr, kmp_int64 chunk )
{
    __kmp_for_static_init< kmp_int64 >(
                      loc, gtid, schedtype, plastiter, plower, pupper, pstride, incr, chunk );
}

/*!
 See @ref __kmpc_for_static_init_4
 */
void
__kmpc_for_static_init_8u( ident_t *loc, kmp_int32 gtid, kmp_int32 schedtype, kmp_int32 *plastiter,
                      kmp_uint64 *plower, kmp_uint64 *pupper,
                      kmp_int64 *pstride, kmp_int64 incr, kmp_int64 chunk )
{
    __kmp_for_static_init< kmp_uint64 >(
                      loc, gtid, schedtype, plastiter, plower, pupper, pstride, incr, chunk );
}
/*!
@}
*/

/*!
@ingroup WORK_SHARING
@param    loc       Source code location
@param    gtid      Global thread id of this thread
@param    schedule  Scheduling type for the parallel loop
@param    plastiter Pointer to the "last iteration" flag
@param    plower    Pointer to the lower bound
@param    pupper    Pointer to the upper bound of loop chunk
@param    pupperD   Pointer to the upper bound of dist_chunk
@param    pstride   Pointer to the stride for parallel loop
@param    incr      Loop increment
@param    chunk     The chunk size for the parallel loop

Each of the four functions here are identical apart from the argument types.

The functions compute the upper and lower bounds and strides to be used for the set of iterations
to be executed by the current thread from the statically scheduled loop that is described by the
initial values of the bounds, strides, increment and chunks for parallel loop and distribute
constructs.

@{
*/
void
__kmpc_dist_for_static_init_4(
    ident_t *loc, kmp_int32 gtid, kmp_int32 schedule, kmp_int32 *plastiter,
    kmp_int32 *plower, kmp_int32 *pupper, kmp_int32 *pupperD,
    kmp_int32 *pstride, kmp_int32 incr, kmp_int32 chunk )
{
    __kmp_dist_for_static_init< kmp_int32 >(
        loc, gtid, schedule, plastiter, plower, pupper, pupperD, pstride, incr, chunk );
}

/*!
 See @ref __kmpc_dist_for_static_init_4
 */
void
__kmpc_dist_for_static_init_4u(
    ident_t *loc, kmp_int32 gtid, kmp_int32 schedule, kmp_int32 *plastiter,
    kmp_uint32 *plower, kmp_uint32 *pupper, kmp_uint32 *pupperD,
    kmp_int32 *pstride, kmp_int32 incr, kmp_int32 chunk )
{
    __kmp_dist_for_static_init< kmp_uint32 >(
        loc, gtid, schedule, plastiter, plower, pupper, pupperD, pstride, incr, chunk );
}

/*!
 See @ref __kmpc_dist_for_static_init_4
 */
void
__kmpc_dist_for_static_init_8(
    ident_t *loc, kmp_int32 gtid, kmp_int32 schedule, kmp_int32 *plastiter,
    kmp_int64 *plower, kmp_int64 *pupper, kmp_int64 *pupperD,
    kmp_int64 *pstride, kmp_int64 incr, kmp_int64 chunk )
{
    __kmp_dist_for_static_init< kmp_int64 >(
        loc, gtid, schedule, plastiter, plower, pupper, pupperD, pstride, incr, chunk );
}

/*!
 See @ref __kmpc_dist_for_static_init_4
 */
void
__kmpc_dist_for_static_init_8u(
    ident_t *loc, kmp_int32 gtid, kmp_int32 schedule, kmp_int32 *plastiter,
    kmp_uint64 *plower, kmp_uint64 *pupper, kmp_uint64 *pupperD,
    kmp_int64 *pstride, kmp_int64 incr, kmp_int64 chunk )
{
    __kmp_dist_for_static_init< kmp_uint64 >(
        loc, gtid, schedule, plastiter, plower, pupper, pupperD, pstride, incr, chunk );
}
/*!
@}
*/

//-----------------------------------------------------------------------------------------
// Auxiliary routines for Distribute Parallel Loop construct implementation
//    Transfer call to template< type T >
//    __kmp_team_static_init( ident_t *loc, int gtid,
//        int *p_last, T *lb, T *ub, ST *st, ST incr, ST chunk )

/*!
@ingroup WORK_SHARING
@{
@param loc Source location
@param gtid Global thread id
@param p_last pointer to last iteration flag
@param p_lb  pointer to Lower bound
@param p_ub  pointer to Upper bound
@param p_st  Step (or increment if you prefer)
@param incr  Loop increment
@param chunk The chunk size to block with

The functions compute the upper and lower bounds and stride to be used for the set of iterations
to be executed by the current team from the statically scheduled loop that is described by the
initial values of the bounds, stride, increment and chunk for the distribute construct as part of
composite distribute parallel loop construct.
These functions are all identical apart from the types of the arguments.
*/

void
__kmpc_team_static_init_4(
    ident_t *loc, kmp_int32 gtid, kmp_int32 *p_last,
    kmp_int32 *p_lb, kmp_int32 *p_ub, kmp_int32 *p_st, kmp_int32 incr, kmp_int32 chunk )
{
    KMP_DEBUG_ASSERT( __kmp_init_serial );
    __kmp_team_static_init< kmp_int32 >( loc, gtid, p_last, p_lb, p_ub, p_st, incr, chunk );
}

/*!
 See @ref __kmpc_team_static_init_4
 */
void
__kmpc_team_static_init_4u(
    ident_t *loc, kmp_int32 gtid, kmp_int32 *p_last,
    kmp_uint32 *p_lb, kmp_uint32 *p_ub, kmp_int32 *p_st, kmp_int32 incr, kmp_int32 chunk )
{
    KMP_DEBUG_ASSERT( __kmp_init_serial );
    __kmp_team_static_init< kmp_uint32 >( loc, gtid, p_last, p_lb, p_ub, p_st, incr, chunk );
}

/*!
 See @ref __kmpc_team_static_init_4
 */
void
__kmpc_team_static_init_8(
    ident_t *loc, kmp_int32 gtid, kmp_int32 *p_last,
    kmp_int64 *p_lb, kmp_int64 *p_ub, kmp_int64 *p_st, kmp_int64 incr, kmp_int64 chunk )
{
    KMP_DEBUG_ASSERT( __kmp_init_serial );
    __kmp_team_static_init< kmp_int64 >( loc, gtid, p_last, p_lb, p_ub, p_st, incr, chunk );
}

/*!
 See @ref __kmpc_team_static_init_4
 */
void
__kmpc_team_static_init_8u(
    ident_t *loc, kmp_int32 gtid, kmp_int32 *p_last,
    kmp_uint64 *p_lb, kmp_uint64 *p_ub, kmp_int64 *p_st, kmp_int64 incr, kmp_int64 chunk )
{
    KMP_DEBUG_ASSERT( __kmp_init_serial );
    __kmp_team_static_init< kmp_uint64 >( loc, gtid, p_last, p_lb, p_ub, p_st, incr, chunk );
}
/*!
@}
*/

} // extern "C"