annotate paper/chapter3.tex @ 48:88b11a3afb93

describe deos
author Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
date Fri, 07 Feb 2014 01:02:26 +0900
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1 \chapter{Haskellによる\\並列データベースの実装}\label{ch:impl}
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2  本章では, 並列データベース Jungle の実装について述べる.
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4 \section{木構造データベース Jungle}
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5 非破壊的木構造データベース Jungle は, Haskell で実装された並列データベースである.
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6 非破壊的木構造の方法に則った関数を提供する.
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8 % 本研究では, HTTP サーバ Warp と組み合わせて掲示板システムとして利用しているが, 他のシステムに組み込むことも可能である.
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9 Jungle の基本的な使い方の手順について説明する.
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10 \begin{enumerate}
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11 \item{木構造を保持する Jungle を作成する}
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12 \item{Jungle 内に新しい木を名前をつけて作成する}
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13 \item{木の名前を用いて, ルートノードの取得を行い, データを参照する}
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14 \item{もしくは, 木の名前を用いて, ルートノードの更新を行う}
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15 \end{enumerate}
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17 \subsubsection{Jungle が持つデータ型}
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18 Jungle が持つのデータ型を表\ref{tab:components}に表す.
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19 木構造の集まりを表現する Jungle, 単体の木構造を表現する Tree がある.
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20 Node は子と属性を任意の数持てる.
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21 データ型として定義することで, データ内部の型の整合性が保たれ, また型検査でエラーがないか検出することができる.
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22 Jungle のデータ型について, ひとつずつ説明する.
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24 \begin{table}[!htbp]
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25 \label{tab:components}
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26 \begin{center}
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27 \begin{tabular}{|c||c|c|} \hline
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28 型名 & 概要 \\ \hline
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29 Jungle & 木の作成・取得を担当する. \\ \hline
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30 Tree & 木の名前とルートノードの情報を保持している. \\ \hline
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31 Node & 基本的なデータ構造, 子と属性を任意の数持てる. \\ \hline
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32 \end{tabular}
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33 \end{center}
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34 \caption{Jungle が持つデータ型}
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35 \end{table}
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37 \begin{table}[!htbp]
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38 \label{tab:components}
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39 \begin{center}
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40 \begin{tabular}{|c||c|} \hline
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41 型名 & データ構造 \\ \hline
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42 Jungle & Jungle (TVar (Map String Tree)) \\ \hline
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43 Tree & Tree (TVar Node) String \\ \hline
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44 Node & Node (Map Int Node) (Map String ByteString) \\ \hline
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45 \end{tabular}
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46 \end{center}
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47 \caption{データ型のデータ構造}
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48 \end{table}
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49
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50 \subsection{Jungle}
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51 Jungle は木構造の集まりを表現する.
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52 木には名前がついており, Tree の情報と一緒に保持している.
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53
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54 \begin{lstlisting}[caption=Jungleのデータ型の定義]
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55 data Jungle = Jungle { getJungleMap :: (TVar (Map String Tree)) }
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56 \end{lstlisting}
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57
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58 Jungle のデータ構造は, Jungle (TVar (Map String Tree)) である.
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59 getJungleMap :: というのは, Haskell のレコード構文である.
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60
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61 レコード構文は, データ構造へのアクセサを提供する.
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62 getJungleMap は関数で, 以下のような型を持つ.
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63 これは, Jungleを受け取って, TVar (Map String Tree)を返す関数である.
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64
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65 レコード構文はデータ型を受け取って, :: の右側の型の値を取り出せる関数を作成すると思えば良い.
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66
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67 \begin{lstlisting}[caption=getJungleMap]
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68 getJungleMap :: Jungle -> TVar (Map String Tree)
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69 \end{lstlisting}
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70
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71 Jungle の木の取り扱いには, Haskell の Data.Map を利用している.
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72 型名は, Map である.
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73 Map は, 連想配列を扱うことのできるデータ構造である.
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74 平衡木を用いて, 挿入や参照が O (log n)で済むように設計されている.
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75 Data.Mapを理解するためにはリストで考えると分かりやすい.
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76
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77 \begin{lstlisting}[caption=getJungleMap]
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78 data Map k a = Map [(k,a)]
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79
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80 lookup' :: Eq k => k -> Map k a -> Maybe a
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81 lookup' k (Map []) = Nothing
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82 lookup' k (Map ((k',a):xs)) = if k == k'
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83 then Just a
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84 else lookup k xs
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87 insert :: k -> a -> Map k a -> Map k a
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88 insert k a (Map x) = Map ((k,a):x)
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89
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90 test = Map [("key","value"),("fizz","buzz")]
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91 \end{lstlisting}
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92
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93 Map は, キーと値のペアのリストだと考えることができる.
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94 キーが一致する値を探す場合, lookup'を用いる.
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95 Maybe モナドを用いて, データがなければ Nothing, データがあれば Just に包んで返す.
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96 $=>$ の前にある, Eq kは, 型クラスの制約である.
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97 内部で k と k' の同値性をテストしているため, k は同値性をチェックできる型クラス Eq に属している型である必要がある.
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98
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99 新たにキーと値のペアを, Mapに追加するには insertを用いる.
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100 Haskell では, 受け取った引数を変更することができないため, ペアを追加した新しい Map を返す.
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101
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102
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103 木の取り扱いには Haskell のソフトウェア・トランザクショナル・メモリ (STM) を利用して状態を持たせ, スレッド間で共有できるようにしてある.
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104 これは, 各スレッドから木構造を新たに作成できるようにするためである.
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105 STM は, スレッド間でデータを共有するためのツールである. STM を利用することでロック忘れによる競合状態や, デッドロックといった問題から解放される.
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106 Jungle のデータ構造の Map の前に付いている TVar というのは, Transactional variablesの略で, STM で管理する変数に対して利用する.
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107
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108 \subsubsection{Jungle と木の作成}
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109 Jungle は, 複数の非破壊的木構造を持つため、Map で木を管理している(図\ref{fig:jungle}).
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110
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111 \begin{figure}[!htbp]
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112 \begin{center}
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113 \includegraphics[scale=0.7]{./images/jungle.pdf}
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114 \end{center}
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115 \caption{複数の木を扱えるJungle}
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116 \label{fig:jungle}
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117 \end{figure}
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118
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119 木構造の識別, つまり Map の キー にはString を利用する.
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120 String は Haskell の文字列の型で, Char のリスト [Char] の別名である.
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121
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122 Jungle を作成するには, createJungle を用いる.
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123 empty は空のMapを作成する関数である.
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124
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125 \begin{lstlisting}[caption=createJungle]
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126 createJungle :: IO Jungle
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127 createJungle = atomically $ do
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128 map <- newTVar empty
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parents: 35
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129 return (Jungle map)
bd30d93097da describe Jungle and Tree
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parents: 35
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130 \end{lstlisting}
bd30d93097da describe Jungle and Tree
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parents: 35
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131
bd30d93097da describe Jungle and Tree
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parents: 35
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132 \begin{lstlisting}[caption=STMの関数]
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
133 newTVar :: a -> STM (TVar a)
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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134 readTVar :: TVar a -> STM a
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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135 writeTVar :: TVar a -> a -> STM ()
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136
40
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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137 atomically :: STM a -> IO a
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
138 \end{lstlisting}
bd30d93097da describe Jungle and Tree
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parents: 35
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139
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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140 createJungleは, 新たにSTMの変数を作成する newTVar を実行する.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
141 newTVar などの STM の操作は STM モナド内で行う.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
142 最後にatomicallyを行うことで, do 構文内がトランザクションとして実行される.
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parents: 35
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143
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parents: 43
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144 atomically の隣にある \$ は関数適用演算子である.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
145 \$ 関数は最も低い優先順位を持っており, 右結合である.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
146 括弧を減らすのに使う. \$ を使わない場合は以下の様に記述することになる.
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parents: 35
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147
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
148 \begin{lstlisting}[caption=STMの関数]
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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149 createJungle :: IO Jungle
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
150 createJungle = atomically (do
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
151 map <- newTVar empty
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
152 return (Jungle map))
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
153 \end{lstlisting}
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
154
47
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parents: 43
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155 createJungle は, IOを返すため使う際には main に関連付ける必要がある.
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156
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157 \subsection{Tree}
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parents: 43
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158 Jungleが保持する木の情報は, 内部的には Tree というデータ型で保持している.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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159 Tree は木の名前と, ルートノードの情報を持っている.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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160 実際にユーザがJungleを利用する際は, Jungle と木の名前を使ってルートノードを取ってくるため, Tree という構造は見えない.
40
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161
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162 ルートノードの情報はスレッド間で状態を共有する必要がある.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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163 スレッドセーフに取り扱う必要があるため, この情報も Haskell の ソフトウェア・トランザクショナル・メモリ (STM) を用いて管理している.
40
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164
bd30d93097da describe Jungle and Tree
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parents: 35
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165 \begin{lstlisting}[caption=Treeのデータ型の定義]
bd30d93097da describe Jungle and Tree
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166 data Tree = Tree
bd30d93097da describe Jungle and Tree
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parents: 35
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167 { rootNode :: (TVar Node)
bd30d93097da describe Jungle and Tree
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parents: 35
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168 , treeName :: String }
bd30d93097da describe Jungle and Tree
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parents: 35
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169 \end{lstlisting}
bd30d93097da describe Jungle and Tree
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parents: 35
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170
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parents: 43
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171 新たな非破壊的木構造を作るには, createTree を用いる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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172 createTree は, createJungleで作成した Jungle と木の名前を String で受け取る.
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parents: 6
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173
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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174 \begin{lstlisting}[caption=createTree]
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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175 createTree :: Jungle -> String -> IO ()
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
176 createTree (Jungle tmap) tree_name = atomically $ do
bd30d93097da describe Jungle and Tree
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parents: 35
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177 map <- readTVar tmap
bd30d93097da describe Jungle and Tree
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parents: 35
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178 tree <- emptyTree tree_name
bd30d93097da describe Jungle and Tree
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parents: 35
diff changeset
179 writeTVar tmap (insert tree_name tree map)
bd30d93097da describe Jungle and Tree
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parents: 35
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180
bd30d93097da describe Jungle and Tree
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parents: 35
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181 emptyTree :: String -> STM Tree
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
182 emptyTree tree_name = do
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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183 node <- newTVar emptyNode
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
184 return (Tree node tree_name)
bd30d93097da describe Jungle and Tree
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parents: 35
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185
bd30d93097da describe Jungle and Tree
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parents: 35
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186 emptyNode :: Node
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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187 emptyNode = Node (empty) (empty)
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
188 \end{lstlisting}
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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189
47
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parents: 43
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190 createJungleも STM を操作するため IOを返す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
191 Jungle の持つ, tmapをreadTVarで取得し, 複数の木構造を管理するためのMapを取得する.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
192 STM の変数をもった Tree を作成し, Map に insert する.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
193 writeTVar は更新する先の変数と, 更新内容の2つを受け取る STM の関数である.
40
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parents: 35
diff changeset
194
47
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parents: 43
diff changeset
195 実際にcreateJungleとcreateTreeを使う時は以下のように記述する.
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parents: 25
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196
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parents: 6
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197 \begin{lstlisting}[caption=データベースと木の作成]
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
198 main = do
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
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199 jungle <- createJungle
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
200 createTree jungle "name of new tree here"
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parents: 6
diff changeset
201 \end{lstlisting}
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parents: 6
diff changeset
202
40
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parents: 35
diff changeset
203
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204 \subsubsection{ルートノード}
47
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parents: 43
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205 非破壊的木構造データベース Jungle では, 木の最新の状態を更新・参照するのにルートノードを使う.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
206 ルートノードは, 最新の木構造の根がどれかの情報を保持している(図\ref{fig:getrootnode}).
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parents: 20
diff changeset
207
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parents: 20
diff changeset
208 \begin{figure}[!htbp]
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parents: 20
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209 \begin{center}
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parents: 20
diff changeset
210 \includegraphics[scale=0.7]{./images/get_root_node.pdf}
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parents: 20
diff changeset
211 \end{center}
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parents: 20
diff changeset
212 \caption{ルートノード}
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parents: 20
diff changeset
213 \label{fig:getrootnode}
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parents: 20
diff changeset
214 \end{figure}
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parents: 20
diff changeset
215
47
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parents: 43
diff changeset
216 ルートノードに関する関数を説明する.
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parents: 6
diff changeset
217
47
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parents: 43
diff changeset
218 getRootNode は, 最新のルートノードを取得できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
219 データベースと木の名前を渡すことで利用できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
220 例えば, 図\ref{fig:getrootnode}の状態の時は, B というルートノードが取得できる.
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parents: 6
diff changeset
221
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parents: 6
diff changeset
222 \begin{lstlisting}[caption=最新のルートノードの取得]
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parents: 25
diff changeset
223 getRootNode :: Jungle -> String -> IO Node
40
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
224 getRootNode (Jungle tmap) tree_name = atomically $ do
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
225 map <- readTVar tmap
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
226 readTVar (root_node map)
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
227 where
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
228 root_node map = case lookup tree_name map of
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
229 Just x -> rootNode x
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parents: 6
diff changeset
230 \end{lstlisting}
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parents: 6
diff changeset
231
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
232 まず, readTVarでJungleが持つmapを参照する.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
233 Haskell の where キーワードは, 計算の中間結果に名前をつけるために用いられる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
234 今回は, root\_node という map を受け取る関数を定義している.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
235 root\_node map では, Jungle が持つ Map をみて取得しようとしている名前の木構造があるかどうか調べている.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
236 木構造があった場合, rootNodeというTreeに定義されているレコード構文のアクセサ関数を使って, (TVar Node)を取得する.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
237 最後に, (TVar Node)に対して, readTVarを行うことで最新のルートノードが取得できる.
10
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parents: 6
diff changeset
238
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
239 木構造を編集する関数は全て Node を受け取って Node を返す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
240 その返ってきた Node をルートノードとして登録することで, 木構造の最新のルートノードが更新される.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
241 updateRootNode は, データベースと木の名前, 変更して返ってきた木構造の 3 つを渡す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
242 updateRootNodeをした後は, getRootNodeで取得できるルートノードが更新された状態になっている.
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
243
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
244 \begin{lstlisting}[caption=ルートノードの更新]
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parents: 25
diff changeset
245 updateRootNode :: Jungle -> String -> Node -> IO ()
40
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
246 updateRootNode (Jungle tmap) tree_name node =
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
247 atomically $ do
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
248 map <- readTVar tmap
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
249 writeTVar (root_node map) node
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
250 where
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parents: 40
diff changeset
251 root_node map = case lookup tree_name map of
40
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
252 Just x -> rootNode x
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
253 \end{lstlisting}
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parents: 25
diff changeset
254
47
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parents: 43
diff changeset
255 updateRootNodeWithは, ノードを更新する関数とデータベース, 木の名前を渡して利用する.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
256 ノードを更新する関数とは, ノードを受け取ってノードを返す関数である. (Node $->$ Node) がそれにあたる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
257 このupdateRootNodeWithを利用することで, getRootNodeをした後に編集しupdateRootNodeを行う一連の操作がatomicallyに行われることが保証される.
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parents: 35
diff changeset
258
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
259 \begin{lstlisting}[caption=ルートノードの更新]
bd30d93097da describe Jungle and Tree
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 35
diff changeset
260 updateRootNodeWith :: (Node -> Node) -> Jungle -> String -> IO ()
bd30d93097da describe Jungle and Tree
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261 updateRootNodeWith f (Jungle tmap) tree_name =
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262 atomically $ do
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263 map <- readTVar tmap
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264 n <- readTVar (root_node map)
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parents: 35
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265 writeTVar (root_node map) (f n)
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266 where
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267 root_node map = case lookup tree_name map of
40
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268 Just x -> rootNode x
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parents: 35
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269 \end{lstlisting}
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270
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271 並列データベース Jungle で他のスレッドと状態を共有する操作は,
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
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272 createJungle, createTree, getRootNode, updateRootNode, updateRootNodeWith
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
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273 で全てである.
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parents: 43
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274 並列データベース Jungle では, なるべく状態を共有しないようにすることで並列実行時の性能の向上を実現する.
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275 ソフトウェアトランザクショナルメモリは書き込み時に他から変更があった場合にやり直しという操作はあるものの, 読み込みに関してはロックなしで高速に読み込める.
40
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276
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277 \subsection{Node}
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278 Node は木構造を表現するデータ構造である.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
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279 再帰的に定義されている.
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280 各ノードは children として子ノードを複数持つことができる(図\ref{fig:node_components}).
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281
bd30d93097da describe Jungle and Tree
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282 \begin{figure}[!htbp]
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283 \begin{center}
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284 \includegraphics[width=110mm]{./images/node_component.pdf}
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285 \end{center}
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286 \caption{Nodeの構成要素}
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287 \label{fig:node_components}
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288 \end{figure}
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289
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290 children および attributes も Data.Map を用いて定義されている(ソースコード \ref{src:node}).
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291
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292 \begin{lstlisting}[label=src:node, caption=Nodeのデータ型の定義]
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293 data Node = Node
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294 { children :: (Map Int Node)
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295 , attributes :: (Map String ByteString) }
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296 \end{lstlisting}
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297
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298 \subsubsection{木の編集}
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299 木の編集には, Node を使う.
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300 木の編集に用いる関数は全て Node を受け取って Node を返す.
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301 非破壊的木構造を利用しているため, getRootNode などで取得してきた Node は他のスレッドと干渉することなく自由に参照, 編集できる.
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parents: 43
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302 これらの編集のための関数は, 編集後updateRootNodeするか, ひとつの関数にまとめてupdateRootNodeWithをすることで木構造に反映させることができる.
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303
47
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304 編集対象のノードを指定するには, NodePath を利用する.
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305 NodePath は, ルートノードからスタートし, ノードの子どもの場所を次々に指定したものである.
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parents: 43
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306 Haskell の基本データ構造であるリストを利用している.
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307
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308 \begin{figure}[!htbp]
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parents: 6
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309 \begin{center}
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310 \includegraphics[width=100mm]{./images/nodepath.pdf}
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311 \end{center}
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312 \caption{NodePath}
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313 \label{fig:nodepath}
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314 \end{figure}
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parents: 6
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315
47
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316 木の編集を行う関数を紹介する.
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317
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318 \begin{lstlisting}[caption=木の編集を行う関数]
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319 addNewChildAt :: Node -> Path -> Node
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parents: 25
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320 deleteChildAt :: Node -> Path -> Position -> Node
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parents: 40
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321 putAttribute :: Node -> Path -> String -> ByteString -> Node
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parents: 40
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322 deleteAttribute :: Node -> Path -> String -> Node
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parents: 6
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323 \end{lstlisting}
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parents: 6
diff changeset
324
47
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parents: 43
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325 addNewChildAt で, ノードに新しい子を追加できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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326 Node と NodePath を渡す必要がある.
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parents: 43
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327 子には Position という場所の情報があるが, インクリメントしながら自動的に指定される.
41
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parents: 40
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328
47
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parents: 43
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329 deleteChildAt で, ノードの子を削除できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
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330 Node と NodePath, 削除したい子のPositionを指定する.
41
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parents: 40
diff changeset
331
47
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parents: 43
diff changeset
332 putAttribute で, ノードに属性を追加できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
333 Node と NodePath, キー, 値を渡す.
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parents: 43
diff changeset
334 キーは String, 値は, ByteString である.
41
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parents: 40
diff changeset
335
47
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parents: 43
diff changeset
336 deleteAttribute で, ノードの属性を削除できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
337 Node と NodePath, キーを渡す.
41
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parents: 40
diff changeset
338
47
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parents: 43
diff changeset
339 これらの関数は, ほぼ同一の関数で定義できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
340 addNewChildAtを用いて説明する.
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parents: 20
diff changeset
341
41
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parents: 40
diff changeset
342 \begin{lstlisting}[caption=木の編集を行う関数]
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parents: 40
diff changeset
343 addNewChildAt :: Node -> Path -> Node
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parents: 40
diff changeset
344 addNewChildAt parent [] = addChildAt parent emptyNode
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parents: 40
diff changeset
345 addNewChildAt parent (x:xs) = addChild parent x $ addNewChildAt x_node xs
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parents: 40
diff changeset
346 where
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parents: 40
diff changeset
347 map = children parent
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parents: 40
diff changeset
348 x_node = case lookup x map of
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parents: 40
diff changeset
349 Just x -> x
34
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parents: 25
diff changeset
350
41
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parents: 40
diff changeset
351 addChild :: Node -> Position -> Node -> Node
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parents: 40
diff changeset
352 addChild node pos child = Node new_child attr
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parents: 40
diff changeset
353 where
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parents: 40
diff changeset
354 map = children node
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parents: 40
diff changeset
355 new_child = insert pos child map
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parents: 40
diff changeset
356 attr = attributes node
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parents: 40
diff changeset
357
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parents: 40
diff changeset
358 addChildAt :: Node -> Node -> Node
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parents: 40
diff changeset
359 addChildAt node child = Node new_child attr
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parents: 40
diff changeset
360 where
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parents: 40
diff changeset
361 map = children node
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parents: 40
diff changeset
362 pos = (size map) + 1
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parents: 40
diff changeset
363 new_child = insert pos child map
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parents: 40
diff changeset
364 attr = attributes node
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parents: 6
diff changeset
365 \end{lstlisting}
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parents: 6
diff changeset
366
47
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parents: 43
diff changeset
367 非破壊的木構造の編集は再帰で定義できる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
368 左結合となる\$を使い, 対象のノードに到達するまで, addChildを繰り返す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
369 addChildは, 引数として子となるノードが必要である.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
370 そのため, 下の階層から徐々に上に作られていく.
23
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parents: 20
diff changeset
371
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
372 addNewChildAt, deleteChildAt, putAttribute, deleteAttributeといった,
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
373 非破壊的木構造の編集は, 対象のノードに対する操作以外は全て同じである.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
374 Pathのリストが空になる, すなわち対象のノードに到達した時の操作だけが異なる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
375 新しい子を追加するのが addNewChildAt, 指定されたポジションの子を削除するのが deleteChildAt,
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
376 指定されたキーと値を追加するのが putAttribute, 指定されたキーの値を削除するのが deleteAttributeである.
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parents: 6
diff changeset
377
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parents: 6
diff changeset
378
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parents: 6
diff changeset
379 \subsubsection{木の参照}
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
380 木の参照にも Node を用いる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
381 様々な参照の関数があるため, ひとつずつ紹介していく.
23
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parents: 20
diff changeset
382
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parents: 6
diff changeset
383 \begin{lstlisting}[caption=属性の取得]
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parents: 25
diff changeset
384 getAttributes :: Node -> Path -> String -> Maybe ByteString
41
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parents: 40
diff changeset
385 getAttributes node path key = lookup key map
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parents: 40
diff changeset
386 where
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
387 target = getNode node path
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parents: 40
diff changeset
388 map = attributes target
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parents: 25
diff changeset
389
41
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parents: 40
diff changeset
390 getChildren :: Node -> Path -> [Node]
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parents: 40
diff changeset
391 getChildren node path = elems map
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parents: 40
diff changeset
392 where
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parents: 40
diff changeset
393 target = getNode node path
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parents: 40
diff changeset
394 map = children target
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parents: 40
diff changeset
395
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parents: 40
diff changeset
396 assocsChildren :: Node -> Path -> [(Int, Node)]
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parents: 40
diff changeset
397 assocsChildren node path = assocs map
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parents: 40
diff changeset
398 where
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
399 target = getNode node path
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
400 map = children target
2
d8b94e828d79 add tex files
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
401
41
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
402 assocs :: Node -> Path -> [(String, ByteString)]
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
403 assocs node path = assocs map
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
404 where
5b69636936cc add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
405 target = getNode node path
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
406 map = attributes target
23
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
407
41
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
408 numOfChild :: Node -> Path -> Int
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
409 numOfChild node path = size map
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
410 where
5b69636936cc add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
411 target = getNode node path
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
412 map = children target
34
345eacdf29e4 add apendix
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 25
diff changeset
413
41
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
414 currentChild :: Node -> Path -> Maybe Node
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
415 currentChild node path = lookup pos map
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
416 where
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
417 target = getNode node path
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
418 map = children target
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 40
diff changeset
419 pos = size map
10
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
420 \end{lstlisting}
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
421
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
422 elems, assocs, sizeなどはData.Mapの関数である.
23
73a8440dcbff add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
423
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
424 getAttributes は, 対象の Path に存在する属性を Key を用いて参照できる.
34
345eacdf29e4 add apendix
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 25
diff changeset
425
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
426 getChildren は, 対象の Node が持つ全ての子を Node のリストとして返す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
427 あるNodeに存在する全ての子に対して, 参照を行いたい場合に利用する.
23
73a8440dcbff add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
428
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
429 assocsChildren は, 対象の Node が持つ全ての子を Position とのタプルにし, そのタプルのリストを返す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
430 あるNodeに存在する全ての子に対して, 子のPositionを取得しながら参照を行いたい場合に利用する.
34
345eacdf29e4 add apendix
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 25
diff changeset
431
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
432 assocsAttribute は, 対象の Node が持つ全ての属性を, キーと値のペアとし, そのペアのリストを返す.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
433 あるNodeに存在する全ての属性に対して, 参照を行いたい場合に利用する.
10
a349b2c01cfe add graffle
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
434
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
435 numOfChild では, 対象の Node が持つ子どもの数を取得できる.
23
73a8440dcbff add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
436
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
437 currentChild では, 対象の Node が持つ最新の子を取得できる.
23
73a8440dcbff add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
438
10
a349b2c01cfe add graffle
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
439
23
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
440 \subsubsection{並列実行}
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
441 木構造データベース Jungle は, 並列に実行することができる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
442 アプリケーション側で, データベースを参照や変更する際に各スレッドから呼び出しても問題ない.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
443 利用方法も, シングルスレッドで実行する場合と同じである.
23
73a8440dcbff add impl
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 20
diff changeset
444
10
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Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
445 \section{Haskell の生産性}
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
446 Java を用いた Jungle の実装と比較して, コード行数が約 3000 行から約 300 行へと短くなった.
10
a349b2c01cfe add graffle
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
447
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
448 Haskell では, 独自のデータ型を作成することができる.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
449 再帰的なデータ構造の定義も容易である.
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
450 また, Haskellは参照透過性を持つため, コードの再利用が行い易く, 関数同士の結合も簡単である.
10
a349b2c01cfe add graffle
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 6
diff changeset
451
47
Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
parents: 43
diff changeset
452 同じような機能を実装する場合でも, Java と比較してコード行数が短くなり生産性が向上する.