changeset 9:324111203070

Add example used delta
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Sat, 07 Feb 2015 19:30:09 +0900
parents c4da3e667aad
children c2dda6eeab57
files delta.tex fig/delta_example.graffle fig/delta_example.xbb fig/non_delta_example.graffle fig/non_delta_example.xbb fig/ryukyu.xbb jlisting.sty main.tex src/delta_example.hs src/delta_example_result.txt
diffstat 10 files changed, 2265 insertions(+), 9 deletions(-) [+]
line wrap: on
line diff
--- a/delta.tex	Sat Feb 07 12:13:59 2015 +0900
+++ b/delta.tex	Sat Feb 07 19:30:09 2015 +0900
@@ -18,7 +18,7 @@
 
 \section{Delta Monad の定義}
 
-任意の型Aに対するメタ計算Tを考えた時、プログラムの変更は\ref{meta_computation_definition}のように定義される。
+任意の型Aに対するメタ計算Tを考えた時、プログラムの変更は式\ref{meta_computation_definition}のように定義される。
 
 \begin{equation}
     T A = V A
@@ -31,7 +31,7 @@
 
 \section{Haskell における Delta Monad の実装例}
 
-\ref{meta_computation_definition}のメタ計算をMonadで実現する。
+式\ref{meta_computation_definition}のメタ計算をMonadで実現する。
 
 実装例としてプログラミング言語 Haskell を用いる。
 
@@ -88,6 +88,67 @@
 Haskell ではコンストラクタごとに関数を記述することでパターンマッチを実現する。
 
 
-\section{Delta を用いたプログラムの変更の記述}
-% TODO: ...
-プログラムの変更を表現するメタ計算に対応するデータ型Deltaが記述できた。
+\section{Delta を用いたプログラムの変更の記述例}
+プログラムの変更を表現するメタ計算に対応するデータ型 Delta が記述できた。
+
+実際に Haskell で Delta を用いたプログラムの変更例を\ref{src:delta_example}に示す。
+
+\begin{table}[html]
+    \lstinputlisting[label=src:delta_example, caption=Deltaを用いたプログラムの例]
+                    {src/delta_example.hs}
+\end{table}
+
+\ref{src:delta_example}は1からnの間の整数に含まれる特定の数の個数を調べるプログラム numberCount である。
+
+このプログラムは3つの関数からなり、2つのバージョンを含む。
+
+\begin{itemize}
+    \item generator
+
+        1からnの間の整数を生成する関数である。
+        nを渡すことにより1からnの間の整数のリストを返す。
+
+    \item numberFilter
+
+        数のリストから特定の数のみを絞り込む関数である。
+        バージョン1では素数の数のみを絞り込み、バージョン2では偶数の数のみを絞り込んでいる。
+
+    \item count
+
+        数の個数を数える関数である。
+        整数はリストで与えられるため、リストの長さが個数であるとした。
+\end{itemize}
+
+これらの関数3つを組み合せてできた関数が numberCount プログラムである。
+実行すると \ref{txt:delta_example_result}のような結果が得られる。
+
+\begin{table}[html]
+    \lstinputlisting[label=txt:delta_example_result, caption=numberCountプログラムの実行結果] {src/delta_example_result.txt}
+\end{table}
+
+これはnに1000を与えた結果である。
+バージョン1の時は素数の数を求めるため計算結果は168であり、バージョン2の時は偶数の数を求めるために計算結果は500となる。
+
+3つの関数で構成されたプログラムに対して1つの変更を加えたプログラムを表現することができた。
+つまり、Monad によってプログラムの変更をメタ計算として定義できたと言える。
+
+Haskell において実装した Delta Monad はプログラムの変更を含めた計算もメタ計算としてHaskellで実行する。
+これはプログラムの変更からどのような処理を導くかをメタ計算として Haskell で実行可能であることを意味する。
+つまり、図\ref{fig:non_delta_example}のようにプログラムにおいてバージョンが変わるごとにバージョン間の関係が存在しない状態から、図\ref{fig:delta_example}のようにプログラムの変更を含めてプログラムを実行可能となったことを意味する。
+例えば、プログラムの実行時にバージョン間の挙動の比較することで過去の挙動との差異を指摘することなどが可能となる。
+
+\begin{figure}[htbp]
+    \begin{center}
+        \includegraphics[scale=0.8]{fig/non_delta_example.pdf}
+        \caption{Deltaを用いない通常のプログラムの例}
+        \label{fig:non_delta_example}
+    \end{center}
+\end{figure}
+
+\begin{figure}[htbp]
+    \begin{center}
+        \includegraphics[scale=0.8]{fig/delta_example.pdf}
+        \caption{Deltaを用いたプログラムの例}
+        \label{fig:delta_example}
+    \end{center}
+\end{figure}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/fig/delta_example.graffle	Sat Feb 07 19:30:09 2015 +0900
@@ -0,0 +1,1068 @@
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+	<integer>8</integer>
+	<key>GraphicsList</key>
+	<array>
+		<dict>
+			<key>Bounds</key>
+			<string>{{381.87498664855957, 241.07997131347659}, {85, 14}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>ID</key>
+			<integer>69</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Pad</key>
+				<integer>0</integer>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 Modify Program}</string>
+				<key>VerticalPad</key>
+				<integer>0</integer>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>ID</key>
+			<integer>68</integer>
+			<key>Points</key>
+			<array>
+				<string>{280.24997138977051, 247.57998657226565}</string>
+				<string>{370.24998664855957, 248.57998657226565}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>Arrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{381.87497138977051, 212.46000671386722}, {71, 14}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>ID</key>
+			<integer>67</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Pad</key>
+				<integer>0</integer>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 Function Call}</string>
+				<key>VerticalPad</key>
+				<integer>0</integer>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>ID</key>
+			<integer>66</integer>
+			<key>Points</key>
+			<array>
+				<string>{276.99997138977051, 218.96000671386722}</string>
+				<string>{366.99998664855957, 219.96000671386722}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{215.12498664855957, 212.46000671386722}, {47, 14}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>ID</key>
+			<integer>62</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Pad</key>
+				<integer>0</integer>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 Function}</string>
+				<key>VerticalPad</key>
+				<integer>0</integer>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{92.12498664855957, 211}, {106.99999999999999, 16.920000000000005}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>60</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{41, 141}, {47, 28}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>ID</key>
+			<integer>43</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Pad</key>
+				<integer>0</integer>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 Program\
+version2}</string>
+				<key>VerticalPad</key>
+				<integer>0</integer>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{41, 44}, {47, 28}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>ID</key>
+			<integer>42</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Pad</key>
+				<integer>0</integer>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 Program\
+version1}</string>
+				<key>VerticalPad</key>
+				<integer>0</integer>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>9</integer>
+			</dict>
+			<key>ID</key>
+			<integer>14</integer>
+			<key>Points</key>
+			<array>
+				<string>{324.49999058834777, 84.5}</string>
+				<string>{324.49999058834777, 128.5}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>Arrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>4</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>10</integer>
+			</dict>
+			<key>ID</key>
+			<integer>13</integer>
+			<key>Points</key>
+			<array>
+				<string>{378.5, 154.99998438512384}</string>
+				<string>{417.5, 154.99998438512384}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>9</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>9</integer>
+			</dict>
+			<key>ID</key>
+			<integer>12</integer>
+			<key>Points</key>
+			<array>
+				<string>{231.5, 155.00001994138375}</string>
+				<string>{270.5, 155.00001994138375}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>11</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{124, 129}, {107, 52}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>11</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 generator}</string>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{418, 129}, {107, 52}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>10</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 count}</string>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{271, 129}, {107, 52}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>9</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 numberFilter\
+(even numbers)}</string>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>5</integer>
+			</dict>
+			<key>ID</key>
+			<integer>8</integer>
+			<key>Points</key>
+			<array>
+				<string>{378.5, 57.99998627228203}</string>
+				<string>{417.5, 57.99998627228203}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>4</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>4</integer>
+			</dict>
+			<key>ID</key>
+			<integer>7</integer>
+			<key>Points</key>
+			<array>
+				<string>{231.5, 57.999983809513253}</string>
+				<string>{270.5, 57.999983809513253}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<true/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>6</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{124, 32}, {107, 52}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>6</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 generator}</string>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{418, 32}, {107, 52}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>5</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 count}</string>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{271, 32}, {107, 52}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>4</integer>
+			<key>Shape</key>
+			<string>Rectangle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1265\cocoasubrtf210
+\cocoascreenfonts1{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\fs24 \cf0 numberFilter\
+(prime numbers)}</string>
+			</dict>
+		</dict>
+	</array>
+	<key>GridInfo</key>
+	<dict/>
+	<key>GuidesLocked</key>
+	<string>NO</string>
+	<key>GuidesVisible</key>
+	<string>YES</string>
+	<key>HPages</key>
+	<integer>1</integer>
+	<key>ImageCounter</key>
+	<integer>1</integer>
+	<key>KeepToScale</key>
+	<false/>
+	<key>Layers</key>
+	<array>
+		<dict>
+			<key>Lock</key>
+			<string>NO</string>
+			<key>Name</key>
+			<string>Layer 1</string>
+			<key>Print</key>
+			<string>YES</string>
+			<key>View</key>
+			<string>YES</string>
+		</dict>
+	</array>
+	<key>LayoutInfo</key>
+	<dict>
+		<key>Animate</key>
+		<string>NO</string>
+		<key>circoMinDist</key>
+		<real>18</real>
+		<key>circoSeparation</key>
+		<real>0.0</real>
+		<key>layoutEngine</key>
+		<string>dot</string>
+		<key>neatoSeparation</key>
+		<real>0.0</real>
+		<key>twopiSeparation</key>
+		<real>0.0</real>
+	</dict>
+	<key>LinksVisible</key>
+	<string>NO</string>
+	<key>MagnetsVisible</key>
+	<string>NO</string>
+	<key>MasterSheets</key>
+	<array/>
+	<key>ModificationDate</key>
+	<string>2015-02-07 10:10:46 +0000</string>
+	<key>Modifier</key>
+	<string>atton</string>
+	<key>NotesVisible</key>
+	<string>NO</string>
+	<key>Orientation</key>
+	<integer>2</integer>
+	<key>OriginVisible</key>
+	<string>NO</string>
+	<key>PageBreaks</key>
+	<string>YES</string>
+	<key>PrintInfo</key>
+	<dict>
+		<key>NSBottomMargin</key>
+		<array>
+			<string>float</string>
+			<string>41</string>
+		</array>
+		<key>NSHorizonalPagination</key>
+		<array>
+			<string>coded</string>
+			<string>BAtzdHJlYW10eXBlZIHoA4QBQISEhAhOU051bWJlcgCEhAdOU1ZhbHVlAISECE5TT2JqZWN0AIWEASqEhAFxlwCG</string>
+		</array>
+		<key>NSLeftMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+		<key>NSPaperSize</key>
+		<array>
+			<string>size</string>
+			<string>{594.99997329711914, 842}</string>
+		</array>
+		<key>NSPrintReverseOrientation</key>
+		<array>
+			<string>int</string>
+			<string>0</string>
+		</array>
+		<key>NSRightMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+		<key>NSTopMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+	</dict>
+	<key>PrintOnePage</key>
+	<false/>
+	<key>ReadOnly</key>
+	<string>NO</string>
+	<key>RowAlign</key>
+	<integer>1</integer>
+	<key>RowSpacing</key>
+	<real>36</real>
+	<key>SheetTitle</key>
+	<string>Canvas 1</string>
+	<key>SmartAlignmentGuidesActive</key>
+	<string>YES</string>
+	<key>SmartDistanceGuidesActive</key>
+	<string>YES</string>
+	<key>UniqueID</key>
+	<integer>1</integer>
+	<key>UseEntirePage</key>
+	<false/>
+	<key>VPages</key>
+	<integer>1</integer>
+	<key>WindowInfo</key>
+	<dict>
+		<key>CurrentSheet</key>
+		<integer>0</integer>
+		<key>ExpandedCanvases</key>
+		<array>
+			<dict>
+				<key>name</key>
+				<string>Canvas 1</string>
+			</dict>
+		</array>
+		<key>Frame</key>
+		<string>{{128, 4}, {776, 874}}</string>
+		<key>ListView</key>
+		<true/>
+		<key>OutlineWidth</key>
+		<integer>142</integer>
+		<key>RightSidebar</key>
+		<false/>
+		<key>ShowRuler</key>
+		<true/>
+		<key>Sidebar</key>
+		<true/>
+		<key>SidebarWidth</key>
+		<integer>120</integer>
+		<key>VisibleRegion</key>
+		<string>{{-41, 0}, {641, 735}}</string>
+		<key>Zoom</key>
+		<real>1</real>
+		<key>ZoomValues</key>
+		<array>
+			<array>
+				<string>Canvas 1</string>
+				<real>1</real>
+				<real>1</real>
+			</array>
+		</array>
+	</dict>
+</dict>
+</plist>
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/fig/non_delta_example.xbb	Sat Feb 07 19:30:09 2015 +0900
@@ -0,0 +1,8 @@
+%%Title: ./non_delta_example.pdf
+%%Creator: extractbb 20140317
+%%BoundingBox: 0 0 504 244
+%%HiResBoundingBox: 0.000000 0.000000 504.000000 244.000000
+%%PDFVersion: 1.3
+%%Pages: 1
+%%CreationDate: Sat Feb  7 19:15:50 2015
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/fig/ryukyu.xbb	Sat Feb 07 19:30:09 2015 +0900
@@ -0,0 +1,8 @@
+%%Title: ./ryukyu.pdf
+%%Creator: extractbb 20140317
+%%BoundingBox: 0 0 595 842
+%%HiResBoundingBox: 0.000000 0.000000 595.000000 842.000000
+%%PDFVersion: 1.3
+%%Pages: 1
+%%CreationDate: Sat Feb  7 19:15:50 2015
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/jlisting.sty	Sat Feb 07 19:30:09 2015 +0900
@@ -0,0 +1,216 @@
+\NeedsTeXFormat{LaTeX2e}
+\def\filedate{2006/02/20}
+\def\fileversion{0.2}
+\ProvidesPackage{jlisting}[\filedate\space\fileversion\space(Thor)]
+%
+\newcount\lst@nextchar
+\let\lst@@ProcessSpace\lst@ProcessSpace
+\def\lst@ProcessSpace#1{%
+   \lst@check@chartype{#1}%
+      \lst@@ProcessSpace
+      \lst@whitespacetrue}
+\let\lst@@ProcessLetter\lst@ProcessLetter
+\def\lst@ProcessLetter#1#2{%
+   \lst@check@chartype{#2}%
+      {\lst@@ProcessLetter{#1}}%
+      \relax}
+\let\lst@@ProcessDigit\lst@ProcessDigit
+\def\lst@ProcessDigit#1#2{%
+   \lst@check@chartype{#2}%
+      {\lst@@ProcessDigit{#1}}%
+      \relax}
+\let\lst@@ProcessOther\lst@ProcessOther
+\def\lst@ProcessOther#1#2{%
+   \lst@check@chartype{#2}%
+      {\lst@@ProcessOther{#1}}%
+      \relax}
+\let\lst@@ProcessTabulator\lst@ProcessTabulator
+\def\lst@ProcessTabulator#1{%
+   \lst@check@chartype{#1}%
+      \lst@@ProcessTabulator
+      \relax}
+\def\lst@check@chartype#1#2#3{%
+   \edef\@tempa{\lst@nextchar=`\string#1\relax}%
+   \afterassignment\remove@to@nnil
+   \@tempa\@nnil
+   #2%
+   \ifnum\lst@nextchar<\@cclvi
+      #3%
+   \else
+      \lst@ifletter \else \lst@OutputOther \fi
+      \lst@whitespacefalse
+      \expandafter\lst@AppendJchar
+   \fi
+   #1}
+\def\lst@AppendJchar#1#2{%
+   \lst@check@chartype{#2}%
+      {\advance\lst@length\@ne\lst@Append{#1}}%
+      \relax}
+\def\lst@check@chartype@BOL#1{%
+   \edef\@tempa{\lst@nextchar=`\string#1\relax}%
+   \afterassignment\remove@to@nnil
+   \@tempa\@nnil
+   \ifnum\lst@nextchar<\@cclvi\else
+      \lst@whitespacefalse
+      \expandafter\lst@AppendJchar
+   \fi
+   #1}
+\def\lst@InputListing#1{%
+   \begingroup
+      \lsthk@PreSet \gdef\lst@intname{#1}%
+      \expandafter\lstset\expandafter{\lst@set}%
+      \lsthk@DisplayStyle
+      \catcode\active=\active
+      \lst@Init\relax \let\lst@gobble\z@
+      \lst@SkipToFirst
+      \lst@ifprint \def\lst@next{\lst@get@filecontents{#1}}%
+      \else        \let\lst@next\@empty
+      \fi
+      \lst@next
+      \lst@DeInit
+   \endgroup}
+\newread\lst@inputfile
+\def\lst@get@filecontents#1{%
+   \let\lst@filecontents\@empty
+   \openin\lst@inputfile=#1\relax
+   \let\@lst@get@filecontents@prevline\relax
+   \lst@get@filecontents@loop
+   \closein\lst@inputfile
+   \lst@filecontents\empty}
+\def\lst@get@filecontents@loop{%
+   \read\lst@inputfile to\@lst@get@filecontents@currline
+   \ifx\@lst@get@filecontents@prevline\relax\else
+      \expandafter\expandafter\expandafter\def
+      \expandafter\expandafter\expandafter\lst@filecontents
+      \expandafter\expandafter\expandafter{%
+         \expandafter\lst@filecontents\@lst@get@filecontents@prevline}%
+   \fi
+   \let\@lst@get@filecontents@prevline\@lst@get@filecontents@currline
+   \ifeof\lst@inputfile\else
+      \expandafter\lst@get@filecontents@loop
+   \fi}
+%%% [$B$3$N=hM}$b!$AjEv6/0z$G$9!%(B]
+\def\lst@BOLGobble{%
+   \ifnum\lst@gobble>\z@
+      \@tempcnta\lst@gobble\relax
+      \expandafter\lst@BOLGobble@
+   \else
+      \expandafter\lst@check@chartype@BOL
+   \fi}
+\def\lst@BOLGobble@#1{%
+   \let\lst@next#1%
+   \ifx \lst@next\relax\else
+   \ifx \lst@next\lst@MProcessListing\else
+   \ifx \lst@next\lst@ProcessFormFeed\else
+   \ifx \lst@next\lstenv@backslash
+      \let\lst@next\lstenv@BOLGobble@@
+   \else
+      \let\lst@next\lst@BOLGobble@@
+      \ifx #1\lst@ProcessTabulator
+         \advance\@tempcnta-\lst@tabsize\relax
+         \ifnum\@tempcnta<\z@
+            \lst@length-\@tempcnta \lst@PreGotoTabStop
+         \fi
+      \else
+         \edef\@tempa{\lst@nextchar=`\string#1\relax}%
+         \@tempa
+         \ifnum\lst@nextchar<\@cclvi\else
+            \advance\@tempcnta\m@ne
+         \fi
+         \advance\@tempcnta\m@ne
+      \fi
+   \fi \fi \fi \fi
+   \lst@next}
+\def\lst@BOLGobble@@{%
+   \ifnum\@tempcnta>\z@
+      \expandafter\lst@BOLGobble@
+   \else
+      \expandafter\lst@check@chartype@BOL
+   \fi
+}
+%
+%    \begin{$B=$@5;v9`(B}{1.3}
+% $B$A$g$C$H$7$?=$@5(B
+\gdef\lst@breakProcessOther#1{\lst@ProcessOther#1}
+% $B%=!<%9%3!<%IL\<!$K$*$1$kJ8;z$HHV9f$N6u$-(B
+\let \l@lstlisting = \l@figure
+% $B%-%c%W%7%g%s$H%=!<%9%3!<%IL\<!$KBP$9$kF|K\8lBP1~(B
+\def\lstlistingname{$B%=!<%9%3!<%I(B}
+\def\lstlistlistingname{$B%=!<%9%3!<%IL\<!(B}
+%    \end{$B=$@5;v9`(B}
+\endinput
+% 
+%#!platex
+\documentclass[papersize]{jsarticle}
+% Macros
+\IfFileExists{dvipdfmx.def}{%
+  \usepackage[dvipdfmx]{color,graphicx}%
+}{%
+  \usepackage[dvipdfm]{color,graphicx}%
+}
+\usepackage{listings}[2004/09/07]
+\usepackage{jlisting}[2006/02/20]
+\usepackage{url} 
+\usepackage{verbatim}
+
+\makeatletter
+% Original Macros
+\def\email#1{\gdef\@email{\texttt{#1}}}
+\def\homepage#1{\gdef\@homepage{\texttt{#1}}}
+\def\mac#1{\textsf{#1}}
+\def\URL#1{\texttt{#1}}
+\def\src#1{\texttt{#1}}
+
+% Dvipdfmx.def 
+\def\dvipdfmxDefi{http://tex.dante.jp/ok/dvipdfmx/}
+\def\dvipdfmxDefii{http://ftp.ktug.or.kr/KTUG/dvipdfmx/contrib/latex/}
+
+\IfFileExists{dvipdfmx.def}{%
+   \let \IfDvipdfmxDef = \empty \relax}{%
+   \typeout{^^Jget dvipdfmx.def at \dvipdfmxDefi^^J
+            or \dvipdfmxDefii^^J}%
+   \def\IfDvipdfmxDef{Get \src{dvipdfmx.def} at \URL \dvipdfmxDefii \\ 
+      or \URL \dvipdfmxDefi.}%
+}
+
+% Author Info
+\author   {Th\'or Watanabe\thanks \@email \space \thanks \@homepage}
+\title    {\mac{jlisting.sty}\\
+          ---Japanese Localized Patch File of \mac{listings}---}
+\email    {thor@tex.dante.jp}
+\homepage {http://tex.dante.jp/typo/}
+\date     {2006/02/20}
+
+\makeatother
+
+\begin{document}
+\maketitle
+%\IfDvipdfmxDef
+
+\section{$B$A$g$C$H$7$?@bL@(B}% Short Description
+ 
+$B1|B<@2I';a$N7G<(HD$N!VHFMQE*$JIbF0BN!W$H$$$&0lO"$N=q$-9~$_$+$i(B
+$BE>:\$7$^$7$?!#(B
+
+\begin{quote}
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21172.html}\\
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21184.html}\\
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21189.html}\\
+ \url{http://http://cise.edu.mie-u.ac.jp/~okumura/texfaq/qa/21197.html}
+\end{quote}
+
+ Copyright $B$O5H1JE/H~;a$K$"$k$N$@$H;W$$$^$9!%(B
+ 
+\section{$B99?7MzNr(B}% ChageLogs
+
+\begin{description}
+ \item[ver.~0.1 (2004/03/24)]
+   $B$H$j$"$($:8x3+!%(B
+ \item[ver.~0.2 (2006/02/20)] 
+   \verb|\lst@breakProcessOther| $BL?Na$NDj5A$NDI2C!%(B
+\end{description}
+
+\section{$B%=!<%9%3!<%I(B}
+\par\narrowbaselines
+\verbatiminput{jlisting.sty}
+\end{document}
--- a/main.tex	Sat Feb 07 12:13:59 2015 +0900
+++ b/main.tex	Sat Feb 07 19:30:09 2015 +0900
@@ -1,10 +1,9 @@
 \documentclass[a4j,12pt]{jreport}
-\usepackage[dvips]{graphicx}
+\usepackage[dvipdfmx]{graphicx}
 \usepackage{mythesis}
 \usepackage{multirow}
 \usepackage{here}
-\usepackage{listings}
-%\usepackage{listings, jlisting}
+\usepackage{listings, jlisting}
 \setlength{\itemsep}{-1zh}
 \title{圏によるプログラムの変更の形式化}
 \icon{
@@ -43,7 +42,7 @@
   stepnumber=1,
   numberstyle={\scriptsize},
   numbersep=1em,
-  language={Java},
+  language={},
   tabsize=4,
   lineskip=-0.5zw,
   morecomment={[s][]{/**}{*/}},
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/delta_example.hs	Sat Feb 07 19:30:09 2015 +0900
@@ -0,0 +1,21 @@
+module Example.Delta where
+
+import Data.Numbers.Primes
+import Delta
+
+generator :: Int -> Delta [Int]
+generator x = let intList = [1..x] in
+                  return intList
+
+numberFilter :: [Int] -> Delta [Int]
+numberFilter xs = let primeList = filter isPrime xs
+                      evenList  = filter even xs    in
+                  Delta evenList (Mono primeList)
+
+count :: [Int] -> Delta Int
+count xs = let primeCount = length xs in
+           return primeCount
+
+numberCount :: Int -> Delta Int
+numberCount x = generator x >>= numberFilter >>= count
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/delta_example_result.txt	Sat Feb 07 19:30:09 2015 +0900
@@ -0,0 +1,2 @@
+*Example.Delta> numberCount 1000
+Delta 500 (Mono 168)