我应该并行化多少代码执行?

Hor*_*ux7 5 parallel-processing concurrency multithreading

如果我想并行化算法的执行,那么我应该拆分的小块代码是什么?

一个典型的例子是排序算法.对于什么元素大小或典型执行时间,在多个线程之间拆分排序是有意义的?或者什么时候等待另一个线程的开销大于单个线程上的执行时间?

有简单的规则吗?这取决于操作系统吗?

Ira*_*ter 4

关键规则是“仅当分叉开销远小于分叉将完成的工作量时才进行分叉”。由于分叉开销是您使用的特定技术的属性,完成工作的工作量也是如此,因此从某种意义上说,您必须凭经验确定这一点。您最终可能会在代码中使用一些阈值调整常量来表示这种权衡。

在实践中你会发现,找到可分离的工作块实际上很困难。如果您将工作块设置得较小,那么它就没有很多依赖性,并且您可以在其所有输入数据流准备就绪后对其进行调度。但小块通常意味着小工作,而分叉开销通常会抵消收益。如果您尝试将块变大,它们就会有如此多的依赖性,以至于您无法将它们分解来安排它们。

有些人很幸运,能找到这么大的块;有些人则很幸运。我们将这些人中的大多数称为物理学家和/或 Fortran 程序员,他们正在利用通过将世界划分为尽可能多的小块而产生的数据并行性。

我所知道的唯一不错的解决方法是使用极其快速的分叉机制,这样您就可以找到最小的实用块。不幸的是,提供执行此操作的并行库是......动态调用的库,具有相应的动态调用开销。包含并行原语的典型库需要数百到数千个周期才能实现“分叉”;如果您的工作量是 100 条机器指令,那么这是个坏消息。

我坚信,要获得如此快速的分叉机制,语言编译器必须知道您正在执行分叉,例如,“fork”(无论拼写如何:-)已经成为该语言中的关键字。然后,编译器可以看到分叉,并预先分配所需的一切,以最大限度地减少完成此操作的时间,并生成特殊代码来管理分叉(和加入)步骤。

我设计的、我们在 Semantic Designs 使用的PARLANSE语言就是这样一种语言。它在语法上是一种类似 Lisp 的语言(但在语义上不是)。其并行运算符拼写为“(|| ... )”。您可以在我们日常使用的快速排序模块中看到它,如下所示。您还可以看到根据经验确定的显式 QuickSortParallelThreshold 值。此快速排序在 Intel x86 系统上线性扩展至 8 核。

(define QuickSort
  (module
    (;; (define Value nu)
        (compileifthen (~ (defined QuickSortWithParlanseBuiltInOrderingOfNu))
          (define QuickSortWithParlanseBuiltInOrderingOfNu ~f) ; use PARLANSE comparison operators
        )compileifthen
        (compileifthen (~ (defined QuickSortParallelThreshold))
          (define QuickSortParallelThreshold 100)
        )compileifthen
        (compileifthen (~ (defined QuickSortThreshold))
          (compileifthenelse QuickSortWithParlanseBuiltInOrderingOfNu
            (define QuickSortThreshold 16)
            (define QuickSortThreshold 8)
          )compileifthenelse
        )compileifthen
        (compileifthenelse (~ (defined QuickSortWithCompareByReference))
          (define QuickSortWithCompareByReference ~f)
          (compileifthen QuickSortWithParlanseBuiltInOrderingOfNu
            (define QuickSortWithCompareByReference ~f)
          )compileifthen
        )compileifthenelse
        (define SortRange
          (action (procedure (structure (compileifthen (~ QuickSortWithParlanseBuiltInOrderingOfNu)
                                          (compileifthenelse (~ QuickSortWithCompareByReference)
                                            [compare (function (sort integer (range -1 +1)) (structure [value1 Value] [value2 Value]))]
                                            [compare (function (sort integer (range -1 +1)) (structure [value1 (reference Value)] [value2 (reference Value)]))]
                                          )compileifthenelse
                                        )compileifthen
                                        [a (reference (array Value 1 dynamic))]
                                        [from natural]
                                        [to natural]
                             )structure
                  )procedure
            (local (;; (define quicksort
                         (action (procedure (structure [l integer] [r integer])))
                       )define

                       (define quicksort
                         (action (procedure (structure [l integer] [r integer]))
                           (ifthenelse (<= (- r l) (coerce integer QuickSortThreshold))
                             (do [i integer] (++ l) r +1
                               (local (= [exch Value] a:i)
                                 (block exit_if_inserted
                                   (;; (do [j integer] (-- i) l -1
                                         (ifthenelse (compileifthenelse QuickSortWithParlanseBuiltInOrderingOfNu
                                                       (> a:j exch)
                                                       (compileifthenelse (~ QuickSortWithCompareByReference)
                                                         (== (compare a:j exch) +1)
                                                         (== (compare (. a:j) (. exch)) +1)
                                                       )compileifthenelse
                                                     )compileifthenelse
                                           (= a:(++ j) a:j)
                                           (;; (= a:(++ j) exch)
                                               (exitblock exit_if_inserted)
                                           );;
                                         )ifthenelse
                                       )do
                                       (= a:l exch)
                                   );;
                                 )block
                               )local
                             )do
                             (local (;; (= [i integer] l)
                                        (= [j integer] r)
                                        (= [p integer] l)
                                        (= [q integer] r)
                                        [exch Value]
                                    );;
                               (;;
                                  `use middle element as pivot':
                                    (local (= [m integer] (// (+ l r) +2))
                                      (;; (= exch a:m)
                                          (= a:m a:r)
                                          (= a:r exch)
                                      );;
                                    )local
                                  `4-way partitioning = < > =':
                                    (loop exit_if_partitioned
                                      (;;
                                         `find element greater than pivot':
                                           (loop exit_if_greater_than_found
                                             (;; (compileifthenelse QuickSortWithParlanseBuiltInOrderingOfNu
                                                   (ifthenelse (< a:i a:r)
                                                     (consume ~t)
                                                     (ifthenelse (> a:i a:r)
                                                       (exitblock exit_if_greater_than_found)
                                                       (;; (ifthen (>= i j)
                                                             (exitblock exit_if_partitioned)
                                                           )ifthen
                                                           (= exch a:p)
                                                           (= a:p a:i)
                                                           (= a:i exch)
                                                           (+= p 1)
                                                       );;
                                                     )ifthenelse
                                                   )ifthenelse
                                                   (case (compileifthenelse (~ QuickSortWithCompareByReference)
                                                           (compare a:i a:r)
                                                           (compare (. a:i) (. a:r))
                                                         )compileifthenelse
                                                     -1
                                                       (consume ~t)
                                                     +1
                                                       (exitblock exit_if_greater_than_found)
                                                     else (;; (ifthen (>= i j)
                                                                (exitblock exit_if_partitioned)
                                                              )ifthen
                                                              (= exch a:p)
                                                              (= a:p a:i)
                                                              (= a:i exch)
                                                              (+= p 1)
                                                          );;
                                                   )case
                                                 )compileifthenelse
                                                 (+= i 1)
                                             );;
                                           )loop
                                         `find element less than to pivot':
                                           (loop exit_if_less_than_found
                                             (;; (-= j 1)
                                                 (ifthen (>= i j)
                                                   (exitblock exit_if_partitioned)
                                                 )ifthen
                                                 (compileifthenelse QuickSortWithParlanseBuiltInOrderingOfNu
                                                   (ifthenelse (< a:j a:r)
                                                     (exitblock exit_if_less_than_found)
                                                     (ifthenelse (> a:j a:r)
                                                       (consume ~t)
                                                       (;; (-= q 1)
                                                           (= exch a:j)
                                                           (= a:j a:q)
                                                           (= a:q exch)
                                                       );;
                                                     )ifthenelse
                                                   )ifthenelse
                                                   (case (compileifthenelse (~ QuickSortWithCompareByReference)
                                                           (compare a:j a:r)
                                                           (compare (. a:j) (. a:r))
                                                         )compileifthenelse
                                                     -1
                                                       (exitblock exit_if_less_than_found)
                                                     +1
                                                       (consume ~t)
                                                     else (;; (-= q 1)
                                                              (= exch a:j)
                                                              (= a:j a:q)
                                                              (= a:q exch)
                                                          );;
                                                   )case
                                                 )compileifthenelse
                                             );;
                                           )loop
                                         `move found elements to proper partitions':
                                           (;; (= exch a:i)
                                               (= a:i a:j)
                                               (= a:j exch)
                                           );;
                                         `increment index':
                                           (+= i 1)
                                      );;
                                    )loop
                                  `3-way partitioning < = >':
                                    (;;
                                       `move pivot to final location':
                                         (;; (= exch a:i)
                                             (= a:i a:r)
                                             (= a:r exch)
                                             (= j (-- i))
                                             (= i (++ i))
                                         );;
                                       `move elements equal to pivot to final locations':
                                         (;; (do [k integer] l (-- p) +1
                                               (;; (= exch a:k)
                                                   (= a:k a:j)
                                                   (= a:j exch)
                                                   (-= j 1)
                                               );;
                                             )do
                                             (do [k integer] (-- r) q -1
                                               (;; (= exch a:i)
                                                   (= a:i a:k)
                                                   (= a:k exch)
                                                   (+= i 1)
                                               );;
                                             )do
                                         );;
                                    );;
                                  `sort partitions not equal to pivot':
                                    (ifthenelse (<= (- r l) (coerce integer QuickSortParallelThreshold))
                                      (;; (quicksort l j)
                                          (quicksort i r)
                                      );;
                                      (|| (quicksort l j)
                                          (quicksort i r)
                                      )||
                                    )ifthenelse
                               );;
                             )local
                           )ifthenelse
                         )action
                       )define

                   );;
              (;; (quicksort (coerce integer from) (coerce integer to))
                  (ifdebug (do [i integer] (coerce integer from) (-- (coerce integer to)) +1
                             (trust (compileifthenelse QuickSortWithParlanseBuiltInOrderingOfNu
                                      (<= a:i a:(++ i))
                                      (compileifthenelse (~ QuickSortWithCompareByReference)
                                        (<= (compare a:i a:(++ i)) +0)
                                        (<= (compare (. a:i) (. a:(++ i))) +0)
                                      )compileifthenelse
                                    )compileifthenelse
                                    `QuickSort:Sort -> The array is not sorted.'
                             )trust
                           )do
                  )ifdebug
              );;
            )local
          )action
        )define

        (define Sort
          (action (procedure (structure (compileifthen (~ QuickSortWithParlanseBuiltInOrderingOfNu)
                                          (compileifthenelse (~ QuickSortWithCompareByReference)
                                            [compare (function (sort integer (range -1 +1)) (structure [value1 Value] [value2 Value]))]
                                            [compare (function (sort integer (range -1 +1)) (structure [value1 (reference Value)] [value2 (reference Value)]))]
                                          )compileifthenelse
                                        )compileifthen
                                        [a (reference (array Value 1 dynamic))]
                             )structure
                  )procedure
            (compileifthenelse (~ QuickSortWithParlanseBuiltInOrderingOfNu)
              (SortRange compare a (coerce natural (lowerbound (@ a) 1)) (coerce natural (upperbound (@ a) 1)))
              (SortRange a (coerce natural (lowerbound (@ a) 1)) (coerce natural (upperbound (@ a) 1)))
            )compileifthenelse
          )action
        )define

    );;
  )module
)define
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