partial_sum.h

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// -*- C++ -*-
 
// Copyright (C) 2007-2021 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the terms
// of the GNU General Public License as published by the Free Software
// Foundation; either version 3, or (at your option) any later
// version.
 
// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// General Public License for more details.
 
// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.
 
// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.
 
/** @file parallel/partial_sum.h
 *  @brief Parallel implementation of std::partial_sum(), i.e. prefix
*  sums.
 *  This file is a GNU parallel extension to the Standard C++ Library.
 */
 
// Written by Johannes Singler.
 
#ifndef _GLIBCXX_PARALLEL_PARTIAL_SUM_H
#define _GLIBCXX_PARALLEL_PARTIAL_SUM_H 1
 
#include <omp.h>
#include <new>
#include <bits/stl_algobase.h>
#include <parallel/parallel.h>
#include <parallel/numericfwd.h>
 
namespace __gnu_parallel
{
  // Problem: there is no 0-element given.
 
  /** @brief Base case prefix sum routine.
   *  @param __begin Begin iterator of input sequence.
   *  @param __end End iterator of input sequence.
   *  @param __result Begin iterator of output sequence.
   *  @param __bin_op Associative binary function.
   *  @param __value Start value. Must be passed since the neutral
   *  element is unknown in general.
   *  @return End iterator of output sequence. */
  template<typename _IIter,
           typename _OutputIterator,
           typename _BinaryOperation>
    _OutputIterator
    __parallel_partial_sum_basecase(_IIter __begin, _IIter __end,
                                    _OutputIterator __result,
                                    _BinaryOperation __bin_op,
      typename std::iterator_traits <_IIter>::value_type __value)
    {
      if (__begin == __end)
        return __result;
 
      while (__begin != __end)
        {
          __value = __bin_op(__value, *__begin);
          *__result = __value;
          ++__result;
          ++__begin;
        }
      return __result;
    }
 
  /** @brief Parallel partial sum implementation, two-phase approach,
      no recursion.
      *  @param __begin Begin iterator of input sequence.
      *  @param __end End iterator of input sequence.
      *  @param __result Begin iterator of output sequence.
      *  @param __bin_op Associative binary function.
      *  @param __n Length of sequence.
      *  @return End iterator of output sequence.
      */
  template<typename _IIter,
           typename _OutputIterator,
           typename _BinaryOperation>
    _OutputIterator
    __parallel_partial_sum_linear(_IIter __begin, _IIter __end,
                                  _OutputIterator __result,
                                  _BinaryOperation __bin_op,
      typename std::iterator_traits<_IIter>::difference_type __n)
    {
      typedef std::iterator_traits<_IIter> _TraitsType;
      typedef typename _TraitsType::value_type _ValueType;
      typedef typename _TraitsType::difference_type _DifferenceType;
 
      if (__begin == __end)
        return __result;
 
      _ThreadIndex __num_threads =
        std::min<_DifferenceType>(__get_max_threads(), __n - 1);
 
      if (__num_threads < 2)
        {
          *__result = *__begin;
          return __parallel_partial_sum_basecase(__begin + 1, __end,
                                                 __result + 1, __bin_op,
                                                 *__begin);
        }
 
      _DifferenceType* __borders;
      _ValueType* __sums;
 
      const _Settings& __s = _Settings::get();
 
#     pragma omp parallel num_threads(__num_threads)
      {
#       pragma omp single
        {
          __num_threads = omp_get_num_threads();
            
          __borders = new _DifferenceType[__num_threads + 2];
 
          if (__s.partial_sum_dilation == 1.0f)
            __equally_split(__n, __num_threads + 1, __borders);
          else
            {
              _DifferenceType __first_part_length =
                  std::max<_DifferenceType>(1,
                    __n / (1.0f + __s.partial_sum_dilation * __num_threads));
              _DifferenceType __chunk_length =
                  (__n - __first_part_length) / __num_threads;
              _DifferenceType __borderstart =
                  __n - __num_threads * __chunk_length;
              __borders[0] = 0;
              for (_ThreadIndex __i = 1; __i < (__num_threads + 1); ++__i)
                {
                  __borders[__i] = __borderstart;
                  __borderstart += __chunk_length;
                }
              __borders[__num_threads + 1] = __n;
            }
 
          __sums = static_cast<_ValueType*>(::operator new(sizeof(_ValueType)
                                                           * __num_threads));
          _OutputIterator __target_end;
        } //single
 
        _ThreadIndex __iam = omp_get_thread_num();
        if (__iam == 0)
          {
            *__result = *__begin;
            __parallel_partial_sum_basecase(__begin + 1,
                                            __begin + __borders[1],
                                            __result + 1,
                                            __bin_op, *__begin);
            ::new(&(__sums[__iam])) _ValueType(*(__result + __borders[1] - 1));
          }
        else
          {
            ::new(&(__sums[__iam]))
              _ValueType(__gnu_parallel::accumulate(
                                         __begin + __borders[__iam] + 1,
                                         __begin + __borders[__iam + 1],
                                         *(__begin + __borders[__iam]),
                                         __bin_op,
                                         __gnu_parallel::sequential_tag()));
          }
 
#       pragma omp barrier
 
#       pragma omp single
        __parallel_partial_sum_basecase(__sums + 1, __sums + __num_threads,
                                        __sums + 1, __bin_op, __sums[0]);
 
#       pragma omp barrier
 
        // Still same team.
        __parallel_partial_sum_basecase(__begin + __borders[__iam + 1],
                                        __begin + __borders[__iam + 2],
                                        __result + __borders[__iam + 1],
                                        __bin_op, __sums[__iam]);
      } //parallel
 
      for (_ThreadIndex __i = 0; __i < __num_threads; ++__i)
        __sums[__i].~_ValueType();
      ::operator delete(__sums);
 
      delete[] __borders;
 
      return __result + __n;
    }
 
  /** @brief Parallel partial sum front-__end.
   *  @param __begin Begin iterator of input sequence.
   *  @param __end End iterator of input sequence.
   *  @param __result Begin iterator of output sequence.
   *  @param __bin_op Associative binary function.
   *  @return End iterator of output sequence. */
  template<typename _IIter,
           typename _OutputIterator,
           typename _BinaryOperation>
    _OutputIterator
    __parallel_partial_sum(_IIter __begin, _IIter __end,
                           _OutputIterator __result, _BinaryOperation __bin_op)
    {
      _GLIBCXX_CALL(__begin - __end)
 
      typedef std::iterator_traits<_IIter> _TraitsType;
      typedef typename _TraitsType::value_type _ValueType;
      typedef typename _TraitsType::difference_type _DifferenceType;
 
      _DifferenceType __n = __end - __begin;
 
      switch (_Settings::get().partial_sum_algorithm)
        {
        case LINEAR:
          // Need an initial offset.
          return __parallel_partial_sum_linear(__begin, __end, __result,
                                               __bin_op, __n);
        default:
          // Partial_sum algorithm not implemented.
          _GLIBCXX_PARALLEL_ASSERT(0);
          return __result + __n;
        }
    }
}
 
#endif /* _GLIBCXX_PARALLEL_PARTIAL_SUM_H */