高速並列sort アルゴリズム PARADIS の紹介

•

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Takuma Ojiro

PARADIS(http://www.vldb.org/pvldb/vol8/p1518-cho.pdf)の紹介スライドです。実装 https://github.com/albicilla/simple_paradis

Engineering

PARADISの特徴
• Parallel RADIx Sort の略
• 分類ではParallel in-place MSD radix sort
• 省メモリで高速に動作する
• スレッドレベルの並列化
• 投機的実行
• 似ているsort
• american flag sort
• Parallel LSD radix sort by Satish (SIGMOD 2010)
• Regions sort (SPAA 2019)

PARADIS アルゴリズム (2/2)
• 全部で4stepからなる
• Step 1 Build Histogram
• 各値がいくつあるかをカウントする.
• Step2 Partition Array
• 各値が入るべきバケットの開始位置と終了位置を求める.
• Step3 PARADIS_Permutate , PARADIS_Repair
• 各パーティションごとに現在の要素が正しい位置にあるかどうかをチェ
ックし、間違っていたら合っているところと入れ替える.
• 次のPARADIS_Permutateのためにソート済みでないデータを寄せる
• Step4 Recursion
• 下位の桁に対しても同様に適用する.

step1 Build Histogram
p0 p1 p2 p3
x3 x12
x8 x2
x8 x11
x3 x3
x9 x11
x3 x2
x8 x8
x5 x4
x28 x42
x19 x11

Partition for permute
x28 x42
x19 x11
28 42 19 11

PARADIS_Permute 位置関係チェック
PARADIS_Permute
図示してあるキーを一つのスレッドで扱う

PARADIS_Permute 位置関係チェック
PARADIS_Permute

PARADIS Permute 解説の前に記号の説明
head…現在処理対象の位置を示すポインタ
ph…partitionされたbucketのwrong elementsの先頭
位置を示すポインタ
swap… 始点と終点を入れ替える

step 3-1 2/10
if k==i then のhead 更新後
d[head]がはじめから正しい位置にある

step 3-1 6/10
if k==i then のhead 更新後
ph[k]==pt[k]

step 3-1 7/10
if k==i then のhead 更新後
head更新後
バケットがいっ
ぱいです
headが次のバケットへ
headが外に出たので次
のバケットへ

PARADIS_Permute , synchronize
PARADIS_Repair
PARADIS_Repair

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高速並列sort アルゴリズム PARADIS の紹介

1. 高速並列sort “PARADIS”の紹介尾城拓真

2. PARADISの特徴 • Parallel RADIx Sort の略 • 分類ではParallel in-place MSD radix sort • 省メモリで高速に動作する • スレッドレベルの並列化 • 投機的実行 • 似ているsort • american flag sort • Parallel LSD radix sort by Satish (SIGMOD 2010) • Regions sort (SPAA 2019)

3. PARADIS アルゴリズム(1/2)

4. PARADIS アルゴリズム (2/2) • 全部で4stepからなる • Step 1 Build Histogram • 各値がいくつあるかをカウントする. • Step2 Partition Array • 各値が入るべきバケットの開始位置と終了位置を求める. • Step3 PARADIS_Permutate , PARADIS_Repair • 各パーティションごとに現在の要素が正しい位置にあるかどうかをチェックし、間違っていたら合っているところと入れ替える. • 次のPARADIS_Permutateのためにソート済みでないデータを寄せる • Step4 Recursion • 下位の桁に対しても同様に適用する.

5. 今からこれをsortしますこれをこうする

6. step1 Build Histogram p0 p1 p2 p3 x3 x12 x8 x2 x8 x11 x3 x3 x9 x11 x3 x2 x8 x8 x5 x4 x28 x42 x19 x11

7. Partition for permute x28 x42 x19 x11 28 42 19 11

8. Partition for permute x28 x42 x19 x11 28 42 19 11

9. Partition for permute x28 x42 x19 x11 28 42 19 11

10. Partition for permute x28 x42 x19 x11 28 42 19 11

11. PARADIS_Permute 位置関係チェック PARADIS_Permute 図示してあるキーを一つのスレッドで扱う

12. PARADIS_Permute 位置関係チェック PARADIS_Permute

13. PARADIS Permute 解説の前に記号の説明 head…現在処理対象の位置を示すポインタ ph…partitionされたbucketのwrong elementsの先頭位置を示すポインタ swap… 始点と終点を入れ替える

14. step 3-1 1/10

15. step 3-1 2/10 if k==i then のhead 更新後 d[head]がはじめから正しい位置にある

16. step 3-1 3/10