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Chapter 5
author fuchita
date Fri, 15 Feb 2008 20:58:55 +0900
parents 3df86394349f
children 4b3b91501102
files paper/ComDebuglog.txt paper/evaluation.tex paper/fig/bug.eps paper/fig/bug.graffle paper/fig/clsmesh006.eps paper/fig/pdf/bug.bb paper/fig/pdf/bug.pdf paper/fig/pdf/clsmesh006.bb paper/fig/pdf/clsmesh006.pdf paper/fig/pdf/debug1.bb paper/fig/pdf/debug1.pdf paper/fig/pdf/debug2.bb paper/fig/pdf/debug2.pdf paper/fig/pdf/exetime.bb paper/fig/pdf/exetime.pdf paper/master_paper.aux paper/master_paper.lof paper/master_paper.log paper/master_paper.toc
diffstat 19 files changed, 15424 insertions(+), 84 deletions(-) [+]
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Binary file paper/ComDebuglog.txt has changed
--- a/paper/evaluation.tex	Fri Feb 15 13:32:27 2008 +0900
+++ b/paper/evaluation.tex	Fri Feb 15 20:58:55 2008 +0900
@@ -511,8 +511,8 @@
 な通信状態の変化があったのかを直感的に知る事は難しい。よって、前述したデバッグインタ
 ーフェースを用いて取得したログを視覚的に確認できるツールの開発を行った。
 
-このツールは、Federated LindaのConfigurationに用いたOmni Graffleファイル、
-同じくConfigurationに用いたノードリスト、そしてデバッグインターフェースで取得した通信
+このツールは、Federated LindaのLink Configurationに用いたOmni Graffleファイル、
+同じくLink Configurationに用いたノードリスト、そしてデバッグインターフェースで取得した通信
 状態のログ、をもとにその通信状態をモニターする為のツールである。
 図\ref{comdeb}にその様子を示す。
 
@@ -580,66 +580,154 @@
 \end{center}
 \end{figure}
 
-\section{Compact Rotingの実装を用いた評価}
-実装した通信状態のデバッグインターフェースの評価として、3章で述べたCompact Routingの実装を用いるFederated Linda
-の通信状態デバッグを行う。この評価の狙いは通信デバッグインターフェースを用いることで、従来のFederated Lindaにおける
-printf情報などを用いたテスト駆動開発では困難であった通信状態の確認を可能とする事である。また、この評価によるバグ
-要因の特定も目標とする。
-
-
+\section{Federated Lindaの実装を用いたデバッグインターフェースの評価}
+実装した通信状態のデバッグインターフェースの評価として、3章で述べたDistance Vector型及び、
+Compact Routingの実装を用いるFederated Lindaの通信状態デバッグを行う。
+この評価の狙いは通信デバッグインターフェースを用いることで、従来のFederated Lindaにおける
+printf情報などを用いたテスト駆動開発では困難であった通信状態の確認を可能とする事である。
+また、この評価によるバグ要因の特定も目標とする。
 
   \subsection{評価条件}
-  \subsubsection{実験環境}
+  \subsubsection{問題点}
+  Federated Lindaは分散アルゴリズムを用いてタプルの伝搬を行うが、先行研究にて開発した
+  Distance Vector型及び、Compact Routingの実装は共に格子状のメッシュトポロジ上での
+  ルーティングテーブルの構築に問題がある。Distance Vector型はメッシュトポロジ上での
+  ルーティングテーブル
+  の構築が、ライン型トポロジや、バイナリツリー型トポロジとの場合に比べて、
+  大幅に時間がかかるという問題、
+  Compact Routingの実装では格子状のメッシュトポロジ上でのルーティングテーブルの構築が、
+  通信の集中や、Landmark情報の更新の失敗によって、構築が行えないという問題である。
+  図\ref{meshtime}にDistance Vector型において格子状のメッシュトポロジでのルーティングテーブルの
+  構築時間とバイナリツリー型トポロジによる物を比較した結果を示す。
+
+  \begin{figure}[htbp]
+   \begin{center}
+    \includegraphics[width=14cm]{fig/pdf/exetime.pdf}
+    \caption{ノード数に対してルーティングテーブル構築にかかる時間}
+    \label{meshtime}
+   \end{center}
+  \end{figure}
+
+  結果から分かる様に、ルーティングテーブルの構築時間はノード数に対して2乗オーダー
+  的に増加する。このような結果は、たとえノード間のリンク数がバイナリツリー型トポロジに比べて、
+  メッシュトポロジの方が多いと考えても大きすぎると考える。また、Distance Vector型を元に実装を
+  行ったCompact Routingの実装も格子状のメッシュトポロジ上ではルーティングテーブルの構築に致命的な
+  問題がある。このような問題点は、現実装になんらかのバグが存在する為と考え、今回実装したデバッグ
+  インターフェースによるデバッグを行う。
+
+  \subsubsection{実験を行う Federated Lindaの構成}
+  ルーティングテーブルの構築は6ノードで構成される格子状のメッシュトポロジにおいて行い。
+  その通信状態を、実装した通信状態のデバッグインターフェースでログの取得を行った。
+  図\ref{meshgraffle}にFederated LindaのLink Configurationに用いたOmni graffleファイルを示す。
+
+  \begin{figure}[htbp]
+   \begin{center}
+    \includegraphics[width=14cm]{fig/pdf/clsmesh006.pdf}
+    \caption{Link Configurationに用いたOmni Graffleファイル}
+    \label{meshgraffle}
+   \end{center}
+  \end{figure}
+
+  \subsubsection{通信状態のデバッグを行う実験}
+  実装したデバッグインターフェースによるログ取得を行うのは以下の２実験である。
+\begin{itemize}
+\item {6ノードの格子状メッシュトポロジにおけるDistance Vector型のルーティングテーブル構築}
+\item {6ノードの格子状メッシュトポロジにおけるCompact Routing実装のルーティングテーブル構築}
+\end{itemize}
 
 
 
   \subsection{評価}
+  評価条件に示した実験を行い、6ノードで構成される格子状のメッシュトポロジにおける
+  Federated Lindaのルーティングテーブル構築の通信状態ログを取得した。
 
-\section{考察}
+  これにより、通信状態ログを用いたモニタツールでのデバッグが可能となった。
+  ここで示す通信状態ログによるデバッグとは、Lindaサーバー単体、Lindaサーバー全体、タプルID、
+  シーケンス番号などを単位に通信ログをモニタツールに投入し、ステップ実行でタプルの通信を
+  確認するデバッグ方法である。
+  図\ref{debug1}と図\ref{debug2}にその様子を示す。
+
+  \begin{figure}[htbp]
+   \begin{center}
+    \includegraphics[width=12cm]{fig/pdf/debug1.pdf}
+    \caption{トポロジ及び通信イベントの表示}
+    \label{debug1}
+   \end{center}
+  \end{figure}
+
+   \begin{figure}[htbp]
+   \begin{center}
+    \includegraphics[width=12cm]{fig/pdf/debug2.pdf}
+    \caption{ステップ実行したシーケンスでの転送タプルを表示}
+    \label{debug2}
+   \end{center}
+  \end{figure}
+  
+  \newpage
+  \subsubsection{バグ要因の特定}
+  通信ログ・モニターツールを用いてDistace Vector型、Compact Routing実装のデバッグを
+  行った所、Link Configuratin処理が正しく終了していない為にルーティングテーブル構築時の
+  通信量が増えているというバグを発見した。
+
+  通常、Federated Lindaにおけるルーティングテーブルの構築は、最初にLink Configurationを
+  示したXMLの投入をある1ノードに行い、そのノードから隣接ノードへのLink Configuratin XML
+  の転送とコネクトをもって全ノード間のコネクションのLink Configurationを行う。
+
+  しかし、格子状のメッシュトポロジでは、隣接ノードへの転送から次ノードへ別経路で
+  Link Configurationが到達する為にLink Configuratinを行うタプル転送が消滅せずに、
+  ルーティングテーブルの構築中でもLink Configurationが発生しているというバグである。
+
+  図\ref{bugfig}にその様子を示す。
+
+   \begin{figure}[htbp]
+   \begin{center}
+    \includegraphics[width=14cm]{fig/pdf/bug.pdf}
+    \caption{格子状メッシュトポロジにおけるLink Configurationのバグ}
+    \label{bugfig}
+   \end{center}
+  \end{figure}
+ 
+ ルーティングテーブルの構築時においてもLink Configurationのタプル転送が発生していたことで、
+ Distance Vector型での構築時間はバイナリツリー型トポロジに対して大幅に増加していたという
+ ことが、今回の通信状態デバッグインターフェースによって特定できた。また、Compact Routing実装の
+ 格子状メッシュトポロジにおけるルーティングテーブルの構築失敗もローカルネットワークの構築と
+ Landmark情報の更新にDistance Vector型の転送方法を用いている為に、同様に別経路からの情報更新
+ 要求が正常終了せずに流れている為と分かった。
+
+ \subsubsection{デバッグにおけるモニターツールの有用性}
+ なぜこのようなバグをこれまで特定することが出来なかったのかというと、これまでのFederated Linda
+ による分散アルゴリズムの開発は、多数のターミナルによるテスト駆動でプログラム状態の変化を標準出力へ
+ 表示させるという手法をとっていたからである。逐次プログラムの開発においては、標準出力へのprintf
+ デバッグは有効なデバッグ手法と言えるが、ノード全体の通信を止めずにテストを行わなければならない
+ 状況が存在する分散プログラムの開発では、大量のprintf情報が全ノード分出力されるため、
+ printfデバッグは実用的とは言えない。
+
+ 今回、通信状態のデバッグインターフェースとそのログを視覚的に表示し、ステップ実行により通信の
+ 確かさを確認できるモニターツールを開発したことにより、これまで困難であった通信状態のデバッグ
+ を可能とした。
 
 
 
-%\subsection{Federated Lindaのデバッグ}
-%現在主流なデバッグ手法はプレークポイント等を用いてプログラムを停止し、その地点からの前後でプログ
-%ラムの状態を確認する、二分法によるデバッグ手法である。
-%Federated Lindaを用いた開発環境においてもこのような手法は大変有効ではあるが、通信の状態によって、
-%デバッグが可能な場合と困難な場合とが存在する。
-
-%以下の図\ref{seqdeb}に通常用いられるデバッグが有効なFederated Lindaの通信状態を示す。
-
-
-%\begin{figure}[htbp]
-%\begin{center}
-%\includegraphics[width=8cm]{fig/pdf/seqdeb.pdf}
-%\caption{デバッグ可能なFederated Lindaの通信}
-%\label{seqdeb}
-%\end{center}
-%\end{figure}
+\section{考察}
+本章では分散環境(特にFederated Lindaを用いた)におけるデバッグ機能について、その実装を行う為に、
+最初に二分法を用いた基本的な逐次デバッグ手法と、それではデバッグ困難な分散環境での通信状態を
+紹介し、それらより分散デバッグ機能の検討を行った。分散アルゴリズムにおいてデバッグすべき対象には、
+デッドロック, ライブロック, スケーラビリティ, 通信の集中, 大量のパケットの送信, 等があり、
+それらをデバッグするには大域的なプログラム状態を取得する分散スナップショットが有効であることを
+示した。
 
-%\begin{figure}[htbp]
-%\begin{center}
-%\includegraphics[width=10cm]{fig/pdf/nonseqdeb.pdf}
-%\caption{デバッグが困難なFederated Lindaの通信}
-%\label{nonseqdeb}
-%\end{center}
-%\end{figure}
-
-
-%\subsection{分散環境におけるデバッグ}
-
+Java版Lindaサーバーを開発したことにより、以前のC言語による実装よりも機能拡張を容易に行う事が
+可能となった。そのため、前述した分散アルゴリズムにおいてデバッグすべき対象のうち、通信の集中
+を検知できるデバッグインターフェースとして、通信状態のログ取得デバッグインターフェースとそのログを
+視覚的に表示し、ステップ実行で通信の状態を確かめられるログ・モニターツールを開発した。
 
-%今回は、Fedarated Lindaを用いた分散プログラム開発としてCompact Routingを用いるFederated Lindaの
-%分散アルゴリズムの開発を行った経験にて、通信状態や通信量をデバッグできる機能が必要であるとの知見
-%を得たことから、通信量のデバッグインターフェースを実装する。
-%このデバッグインターフェースはLinda サーバーやクライアント(Protocol Engine)間での通信を止めずに、
-%動いているFederated Lindaの通信量をデバッグする（すなわち、通信量のスケーラビリティを見る）
-%インターフェースである。
+開発した通信状態のデバッグインターフェースの評価として、6ノードで構成される格子状メッシュトポロジ
+におけるルーティングテーブルの構築を、Distance Vectorg型とCompact Routin実装のFederated Lindaで
+行い、通信状態のデバッグインターフェースを適用した。
+この結果、正常終了しなかったLink Configurationのタプル転送が別経路から送信されているというバグ
+要因を特定した。
 
-%\subsection{Java版タプルサーバーへの通信量デバッグ機能の実装}
-
-
-
-%\newpage
-%\subsection{通信ログ情報のグラフィカルな表示ツール}
-
-%\section{通信量デバッグインターフェースによる評価}
\ No newline at end of file
+通信状態のログ・モニターツールを用いる事で、これまでprintfによるデバッグでは困難であった通信状態
+の確認を非常に分かりやすく行うことができる。これは、スナップショットを用いたログデバッグであっても
+同様で、デッドロック, ライブロック, スケーラビリティ, 通信の集中, 大量のパケットの集中はなんらかの
+スナップショット・モニターツールの開発が必要であると考える。
\ No newline at end of file
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+L3? dup dup{save exch}if
+/Range 0 def
+/DataSource 0 def
+/val 0 def
+/nRange 0 def
+/mulRange 0 def
+/d0 0 def
+/r0 0 def
+/di 0 def
+/ri 0 def
+/a0 0 def
+/a1 0 def
+/r1 0 def
+/r2 0 def
+/dx 0 def
+/Nsteps 0 def
+/sh3tp 0 def
+/ymax 0 def
+/ymin 0 def
+/xmax 0 def
+/xmin 0 def
+/setupFunEval 
+{
+    begin
+	/nRange Range length 2 idiv store
+	/mulRange   
+		    
+	[ 
+	    0 1 nRange 1 sub
+	    { 
+		    2 mul/nDim2 xd		
+		    Range nDim2 get		
+		    Range nDim2 1 add get	
+		    1 index sub			
+						
+		    255 div			
+		    exch			
+	    }for
+	]store
+    end
+}bd
+/FunEval 
+{
+    begin
+	
+	nRange mul /val xd	
+				
+	0 1 nRange 1 sub
+	{
+	    dup 2 mul/nDim2 xd 
+	    val	
+	    add DataSource exch get 
+	    mulRange nDim2 get mul 	
+	    mulRange nDim2 1 add get 
+	    add 
+	}for	
+    end
+}bd
+/max 
+{
+	2 copy lt
+	{exch pop}{pop}ifelse
+}bd
+/sh2
+{	
+	/Coords load aload pop 	
+	3 index 3 index translate	
+					
+	3 -1 roll sub	
+	3 1 roll exch 	
+	sub				
+	2 copy
+	dup mul exch dup mul add sqrt	
+	dup
+	scale  
+	atan	
+	
+	rotate		
+	
+	/Function load setupFunEval	
+	
+	
+	clippath {pathbbox}stopped {0 0 0 0}if newpath 	
+	/ymax xs
+	/xmax xs
+	/ymin xs
+	/xmin xs
+	currentdict/Extend known
+	{
+		/Extend load 0 get
+		{	
+			0/Function load FunEval sc	
+			xmin ymin xmin abs ymax ymin sub rectfill
+		}if
+	}if
+	
+	/Nsteps/Function load/Size get 0 get 1 sub store
+	/dx 1 Nsteps div store
+	gsave
+		/di ymax ymin sub store
+		/Function load
+		
+		0 1 Nsteps
+		{
+			1 index FunEval sc
+			0 ymin dx di rectfill
+			dx 0 translate
+		}for
+		pop	
+	grestore	
+	currentdict/Extend known
+	{
+		/Extend load 1 get
+		{	
+			Nsteps/Function load FunEval sc	
+			1 ymin xmax 1 sub abs ymax ymin sub rectfill
+		}if
+	}if
+}bd
+/shp	
+{	
+	4 copy
+	
+	dup 0 gt{
+		0 exch a1 a0 arc
+	}{
+		pop 0 moveto
+	}ifelse
+	dup 0 gt{
+		0 exch a0 a1 arcn
+	}{
+		pop 0 lineto
+	}ifelse
+	
+	fill
+	
+	dup 0 gt{
+		0 exch a0 a1 arc
+	}{
+		pop 0 moveto
+	}ifelse
+	dup 0 gt{
+		0 exch a1 a0 arcn
+	}{
+		pop 0 lineto
+	}ifelse
+	
+	fill
+}bd
+/calcmaxs
+{	
+	
+	xmin dup mul ymin dup mul add sqrt		
+	xmax dup mul ymin dup mul add sqrt		
+	xmin dup mul ymax dup mul add sqrt		
+	xmax dup mul ymax dup mul add sqrt		
+	max max max								
+}bd
+/sh3
+{	
+	/Coords load aload pop 	
+	5 index 5 index translate	
+	3 -1 roll 6 -1 roll sub		
+	3 -1 roll 5 -1 roll sub		
+	2 copy dup mul exch dup mul add sqrt
+	/dx xs						
+	2 copy 0 ne exch 0 ne or
+	{
+		
+		exch atan rotate	
+	}{
+		pop pop
+	}ifelse
+	
+	/r2 xs
+	/r1 xs
+	/Function load 
+	dup/Size get 0 get 1 sub	
+	/Nsteps xs		
+	setupFunEval		
+	
+	
+	
+	
+	
+	dx r2 add r1 lt{
+		
+		0 
+	}{
+		dx r1 add r2 le
+		{ 
+			1
+		}{ 
+			r1 r2 eq
+			{	
+				2
+			}{ 
+				3
+			}ifelse		
+		}ifelse
+	}ifelse
+	/sh3tp xs		
+	clippath {pathbbox}stopped {0 0 0 0}if 
+	newpath 	
+	/ymax xs
+	/xmax xs
+	/ymin xs
+	/xmin xs
+	
+	dx dup mul r2 r1 sub dup mul sub dup 0 gt
+	{
+		sqrt r2 r1 sub atan
+		/a0 exch 180 exch sub store 
+		/a1 a0 neg store 
+	}{
+		pop
+		/a0 0 store
+		/a1 360 store		
+	}ifelse		
+	currentdict/Extend known
+	{
+		/Extend load 0 get r1 0 gt and	
+		{	
+			0/Function load FunEval sc	
+			
+			
+			
+			
+			{ 
+				{	
+					dx 0 r1 360 0 arcn
+					xmin ymin moveto
+					xmax ymin lineto
+					xmax ymax lineto
+					xmin ymax lineto
+					xmin ymin lineto
+					eofill		
+				}
+				{	
+					r1 0 gt{0 0 r1 0 360 arc fill}if
+				}
+				{	
+					
+					
+				
+					
+					0 r1 xmin abs r1 add neg r1 shp
+				}
+				{	
+					
+				
+					r2 r1 gt{	
+						
+						0 r1
+						r1 neg r2 r1 sub div dx mul	
+						0	
+						shp	
+					}{	
+						
+						
+						
+						0 r1 calcmaxs	
+						dup
+						
+						r2 add dx mul dx r1 r2 sub sub div
+						neg				
+						exch 1 index	
+						abs exch sub
+						shp
+					}ifelse
+				} 
+			}sh3tp get exec	
+		}if
+	}if
+	
+	/d0 0 store
+	/r0 r1 store
+	/di dx Nsteps div store
+	/ri r2 r1 sub Nsteps div store 
+	/Function load 
+	0 1 Nsteps
+	{	
+		1 index FunEval sc
+		d0 di add r0 ri add d0 r0 shp
+		{
+		
+		d0 0 r0 a1 a0 arc
+		d0 di add 0 r0 ri add a0 a1 arcn
+		fill
+		
+		
+		d0 0 r0 a0 a1 arc
+		d0 di add 0 r0 ri add a1 a0 arcn
+		fill
+		}pop
+		
+		
+		/d0 d0 di add store
+		/r0 r0 ri add store
+	}for
+	pop	
+	
+	currentdict/Extend known
+	{
+		/Extend load 1 get r2 0 gt and	
+		{	
+			Nsteps/Function load FunEval sc	
+			
+			
+			
+			
+			{ 
+				{
+					dx 0 r2 0 360 arc fill
+				} 
+				{
+					dx 0 r2 360 0 arcn
+					xmin ymin moveto
+					xmax ymin lineto
+					xmax ymax lineto
+					xmin ymax lineto
+					xmin ymin lineto
+					eofill		
+				} 
+				{	
+					
+					
+					xmax abs r1 add r1 dx r1 shp
+				}	
+				{	
+			
+					r2 r1 gt{
+						
+						
+						
+						calcmaxs dup	
+						
+						r1 add dx mul dx r2 r1 sub sub div	
+						exch 1 index	
+						exch sub
+						dx r2
+						shp
+					}{	
+						
+						r1 neg r2 r1 sub div dx mul	
+						0		
+						dx 		
+						r2		
+						shp
+					}ifelse
+				}
+			}			
+			sh3tp get exec	
+		}if
+	}if
+}bd
+/sh		
+{	
+	begin
+		/ShadingType load dup dup 2 eq exch 3 eq or
+		{	
+			gsave
+				newpath
+				/ColorSpace load scs
+				currentdict/BBox known
+				{
+					/BBox load aload pop	
+					2 index sub				
+					3 index					
+					3 -1 roll exch sub 
+					exch rectclip
+				}if
+				2 eq
+				{sh2}{sh3}ifelse
+			grestore
+		}{
+			
+			pop 
+			(DEBUG: shading type unimplemented\n)print flush
+		}ifelse
+	end
+}bd
+{restore}if not dup{save exch}if
+	L3?{	
+		/sh/shfill ld
+		/csq/clipsave ld
+		/csQ/cliprestore ld
+	}if
+{restore}if
+end
+setpacking
+%%EndFile
+%%EndProlog
+%%BeginSetup
+%%EndSetup
+%%Page: 1 1
+%%PageBoundingBox: 0 0 735 344
+%%BeginPageSetup
+cg_md begin
+bp
+sdmtx
+%RBIBeginFontSubset: HiraKakuPro-W3
+%!FontType1-1.0: AAAACL+HiraKakuPro-W3 001.003
%%CreationDate: 2/15/08
% Copyright 鐃2003 Apple Computer, Inc. and its licensors, all rights reserved.
11 dict begin
/FontInfo 9 dict dup begin
/version (001.003) readonly def
/FullName (HiraKakuPro-W3) readonly def
/Weight (SnapShot) readonly def
/isFixedPitch false def
/UnderlinePosition 0 def
/UnderlineThickness 0 def
/FSType 8 def
end readonly def
/FontName /AAAACL+HiraKakuPro-W3 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.0010 0 0 0.0010 0 0] readonly def
/Encoding 256 array 0 1 255 {1 index exch /.notdef put} for
readonly def
/FontBBox {-386 -373 1232 1266} readonly def
currentdict end
currentfile eexec
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cleartomark
%!FontType1-1.0: AAAACM+HiraKakuPro-W3 001.003
%%CreationDate: 2/15/08
% Copyright 鐃2003 Apple Computer, Inc. and its licensors, all rights reserved.
11 dict begin
/FontInfo 9 dict dup begin
/version (001.003) readonly def
/FullName (HiraKakuPro-W3) readonly def
/Weight (SnapShot) readonly def
/isFixedPitch false def
/UnderlinePosition 0 def
/UnderlineThickness 0 def
/FSType 8 def
end readonly def
/FontName /AAAACM+HiraKakuPro-W3 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.0010 0 0 0.0010 0 0] readonly def
/Encoding 256 array 0 1 255 {1 index exch /.notdef put} for
dup 0 /uni30FC.660 put
dup 1 /uni3044.845 put
dup 2 /uni304C.853 put
dup 3 /uni304D.854 put
dup 4 /uni3055.862 put
dup 5 /uni3057.864 put
dup 6 /uni3059.866 put
dup 7 /uni305F.872 put
dup 8 /uni3066.879 put
dup 9 /uni3067.880 put
dup 10 /uni306A.883 put
dup 11 /uni306B.884 put
dup 12 /uni306E.887 put
dup 13 /uni306F.888 put
dup 14 /uni3089.914 put
dup 15 /uni308B.916 put
dup 16 /uni308C.917 put
dup 17 /uni30A4.928 put
dup 18 /uni30B7.947 put
dup 19 /uni30B8.948 put
dup 20 /uni30C3.959 put
dup 21 /uni30C4.960 put
dup 22 /uni30C8.964 put
dup 23 /uni30C9.965 put
dup 24 /uni30CA.966 put
dup 25 /uni30CE.970 put
dup 26 /uni30D0.972 put
dup 27 /uni30DD.985 put
dup 28 /uni30E1.989 put
dup 29 /uni30E5.993 put
dup 30 /uni30EA.998 put
dup 31 /uni30ED.1001 put
readonly def
/FontBBox {-386 -373 1232 1266} readonly def
currentdict end
currentfile eexec
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cleartomark
%!FontType1-1.0: AAAACN+HiraKakuPro-W3 001.003
%%CreationDate: 2/15/08
% Copyright 鐃2003 Apple Computer, Inc. and its licensors, all rights reserved.
11 dict begin
/FontInfo 9 dict dup begin
/version (001.003) readonly def
/FullName (HiraKakuPro-W3) readonly def
/Weight (SnapShot) readonly def
/isFixedPitch false def
/UnderlinePosition 0 def
/UnderlineThickness 0 def
/FSType 8 def
end readonly def
/FontName /AAAACN+HiraKakuPro-W3 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.0010 0 0 0.0010 0 0] readonly def
/Encoding 256 array 0 1 255 {1 index exch /.notdef put} for
dup 0 /uni70BA.1181 put
dup 1 /uni683C.1448 put
dup 2 /uni578B.1813 put
dup 3 /uni7D4C.1830 put
dup 4 /uni5B50.2208 put
dup 5 /uni7D42.2356 put
dup 6 /uni5E38.2519 put
dup 7 /uni72B6.2525 put
dup 8 /uni6B63.2649 put
dup 9 /uni9001.2809 put
dup 10 /uni8EE2.3128 put
dup 11 /uni5225.3612 put
dup 12 /uni4E86.3971 put
dup 13 /uni8DEF.4047 put
readonly def
/FontBBox {-386 -373 1232 1266} readonly def
currentdict end
currentfile eexec
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cleartomark
%!FontType1-1.0: AAAACO+HiraKakuPro-W3 001.003
%%CreationDate: 2/15/08
% Copyright 鐃2003 Apple Computer, Inc. and its licensors, all rights reserved.
11 dict begin
/FontInfo 9 dict dup begin
/version (001.003) readonly def
/FullName (HiraKakuPro-W3) readonly def
/Weight (SnapShot) readonly def
/isFixedPitch false def
/UnderlinePosition 0 def
/UnderlineThickness 0 def
/FSType 8 def
end readonly def
/FontName /AAAACO+HiraKakuPro-W3 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.0010 0 0 0.0010 0 0] readonly def
/Encoding 256 array 0 1 255 {1 index exch /.notdef put} for
dup 0 /uni0020.1 put
dup 1 /uni0043.36 put
dup 2 /uni004C.45 put
dup 3 /uni0061.66 put
dup 4 /uni0067.72 put
dup 5 /uni0069.74 put
dup 6 /uni006B.76 put
dup 7 /uni006E.79 put
dup 8 /uni006F.80 put
dup 9 /uni0072.83 put
dup 10 /uni0074.85 put
dup 11 /uni0075.86 put
dup 12 /uniFB01.112 put
readonly def
/FontBBox {-386 -373 1232 1266} readonly def
currentdict end
currentfile eexec
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A81F1D96E88EE1486F6D0A47EABC13C6DF2D6F68E573D9A6015D57C5F0C600E3A4DCF3BD45F7B8F6C902363C57AFEE09
56F0BE0314BC59001DC5317FA191CF6634CB80A6096A0415E72286D28237B63459BEA54581387962B1D4250D173C9DB7
635F6ACE09427E0CA6271EBB6BB7FE35D6A744AA1B3F5FBEA0A02A2696FE4ABD739AE7F0E817629BE25DFA03AF50C65A
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4323D939E5A78807D40BAB56DB564A712FD06E8C741B173C39ECC99F7823A6F597AFC42E994A7A6D0EB36BEE41A7D3E8
1CC7CCE9DC65529319EF2FB60E047DF312746DA21D32E32F10DCE0B49EFEC07038A8EDE860374DB20F8348641840EACE
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cleartomark
%!FontType3-1.0: HiraKakuPro-W3
19 dict dup begin
/FontType 3 def
/FontMatrix matrix def
/FontBBox {0 0 0 0} readonly def
/PaintType 0 def
/StrokeWidth 0 def
/BuildGlyph{save 3 1 roll
1 index dup
begin
/ShowProc get 3 1 roll
1 index /CharProcs get exch get exec
7 -1 roll exec
end
restore
} bind def
/BuildChar{1 index /Encoding get exch get
1 index /BuildGlyph get exec} bind def
/$SP{3 -1 roll dup /SetupSubFont get exec
dup setfont
exch 0 0 2 index stringwidth
} bind def
/$SPW{4 -1 roll dup /SetupSubFont get exec
dup setfont
3 1 roll 0 0 0 4 2 roll} bind def
/$SPTW{5 -1 roll dup /SetupSubFont get exec
dup setfont
4 1 roll neg  0 3 -1 roll 0} bind def
/$RP{6 -1 roll dup /SetupSubFont get exec
dup setfont 5 1 roll
translate -90 rotate 0 0 0 4 2 roll} bind def
/SetupSubFont{dup /PaintType get 1 index /StrokeWidth get
3 -1 roll /$SubFontArray get 4 1 roll
3 index 3 index get
dup /PaintType known{dup /PaintType get}{0}ifelse
1 index /StrokeWidth known{1 index /StrokeWidth get}{0}ifelse
3 index ne exch 4 index ne or
{dup length 2 add dict begin
{1 index /FID eq {pop pop}{def}ifelse}forall
/StrokeWidth exch def
/PaintType exch def
currentdict end
dup /CIDFontName known
{/Anonymous exch /CIDFont defineresource}{/Anonymous exch definefont}ifelse
dup 4 1 roll put
}{ pop pop pop get}ifelse
} bind def
/ShowProc{systemdict /rectfill known
{0 setcachelimit}if
6 -1 roll dup /FontMatrix get exch /FontBBox get aload pop
4 index transform 4 2 roll
5 -1 roll transform 4 2 roll
setcachedevice
moveto dup type /stringtype eq {show}{glyphshow} ifelse
} bind def
/FontInfo 4 dict dup begin
/Registry (Adobe/) def
/Ordering (Japan1/) def
/Supplement 5 def
/FSType 8 def
end readonly def
/FontName /HiraKakuPro-W3 def
/Encoding 256 array 0 1 255 {1 index exch /.notdef put} for
dup 33 /uni004C.45 put
dup 34 /uni0069.74 put
dup 35 /uni006E.79 put
dup 36 /uni006B.76 put
dup 37 /uni0020.1 put
dup 38 /uni0043.36 put
dup 39 /uni006F.80 put
dup 40 /uniFB01.112 put
dup 41 /uni0067.72 put
dup 42 /uni0075.86 put
dup 43 /uni0072.83 put
dup 44 /uni0061.66 put
dup 45 /uni0074.85 put
dup 46 /uni306E.887 put
dup 47 /uni8EE2.3128 put
dup 48 /uni9001.2809 put
dup 49 /uni30D0.972 put
dup 50 /uni30A4.928 put
dup 51 /uni30CA.966 put
dup 52 /uni30EA.998 put
dup 53 /uni30C4.960 put
dup 54 /uni30FC.660 put
dup 55 /uni578B.1813 put
dup 56 /uni30C8.964 put
dup 57 /uni30DD.985 put
dup 58 /uni30ED.1001 put
dup 59 /uni30B8.948 put
dup 60 /uni3067.880 put
dup 61 /uni306F.888 put
dup 62 /uni3089.914 put
dup 63 /uni308C.917 put
dup 64 /uni3066.879 put
dup 65 /uni304D.854 put
dup 66 /uni305F.872 put
dup 67 /uni30CE.970 put
dup 68 /uni30C9.965 put
dup 69 /uni306B.884 put
dup 70 /uni3057.864 put
dup 71 /uni306A.883 put
dup 72 /uni3044.845 put
dup 73 /uni70BA.1181 put
dup 74 /uni6B63.2649 put
dup 75 /uni5E38.2519 put
dup 76 /uni7D42.2356 put
dup 77 /uni4E86.3971 put
dup 78 /uni3059.866 put
dup 79 /uni308B.916 put
dup 80 /uni683C.1448 put
dup 81 /uni5B50.2208 put
dup 82 /uni72B6.2525 put
dup 83 /uni30E1.989 put
dup 84 /uni30C3.959 put
dup 85 /uni30B7.947 put
dup 86 /uni30E5.993 put
dup 87 /uni304C.853 put
dup 88 /uni5225.3612 put
dup 89 /uni7D4C.1830 put
dup 90 /uni8DEF.4047 put
dup 91 /uni3055.862 put
readonly def
/$SubFontArray [/AAAACL+HiraKakuPro-W3 findfont /AAAACM+HiraKakuPro-W3 findfont /AAAACN+HiraKakuPro-W3 findfont /AAAACO+HiraKakuPro-W3 findfont ] def
/CharProcs 61 dict
dup /uniFFFD.0 {(\000) 0 $SP} 2 index /.notdef 2 index put put
dup /uni0020.1 {(\000) 3 $SP} put
dup /uni0043.36 {(\001) 3 $SP} put
dup /uni004C.45 {(\002) 3 $SP} put
dup /uni0061.66 {(\003) 3 $SP} put
dup /uni0067.72 {(\004) 3 $SP} put
dup /uni0069.74 {(\005) 3 $SP} put
dup /uni006B.76 {(\006) 3 $SP} put
dup /uni006E.79 {(\007) 3 $SP} put
dup /uni006F.80 {(\010) 3 $SP} put
dup /uni0072.83 {(\011) 3 $SP} put
dup /uni0074.85 {(\012) 3 $SP} put
dup /uni0075.86 {(\013) 3 $SP} put
dup /uniFB01.112 {(\014) 3 $SP} put
dup /uni30FC.660 {(\000) 1 $SP} put
dup /uni3044.845 {(\001) 1 $SP} put
dup /uni304C.853 {(\002) 1 $SP} put
dup /uni304D.854 {(\003) 1 $SP} put
dup /uni3055.862 {(\004) 1 $SP} put
dup /uni3057.864 {(\005) 1 $SP} put
dup /uni3059.866 {(\006) 1 $SP} put
dup /uni305F.872 {(\007) 1 $SP} put
dup /uni3066.879 {(\010) 1 $SP} put
dup /uni3067.880 {(\011) 1 $SP} put
dup /uni306A.883 {(\012) 1 $SP} put
dup /uni306B.884 {(\013) 1 $SP} put
dup /uni306E.887 {(\014) 1 $SP} put
dup /uni306F.888 {(\015) 1 $SP} put
dup /uni3089.914 {(\016) 1 $SP} put
dup /uni308B.916 {(\017) 1 $SP} put
dup /uni308C.917 {(\020) 1 $SP} put
dup /uni30A4.928 {(\021) 1 $SP} put
dup /uni30B7.947 {(\022) 1 $SP} put
dup /uni30B8.948 {(\023) 1 $SP} put
dup /uni30C3.959 {(\024) 1 $SP} put
dup /uni30C4.960 {(\025) 1 $SP} put
dup /uni30C8.964 {(\026) 1 $SP} put
dup /uni30C9.965 {(\027) 1 $SP} put
dup /uni30CA.966 {(\030) 1 $SP} put
dup /uni30CE.970 {(\031) 1 $SP} put
dup /uni30D0.972 {(\032) 1 $SP} put
dup /uni30DD.985 {(\033) 1 $SP} put
dup /uni30E1.989 {(\034) 1 $SP} put
dup /uni30E5.993 {(\035) 1 $SP} put
dup /uni30EA.998 {(\036) 1 $SP} put
dup /uni30ED.1001 {(\037) 1 $SP} put
dup /uni70BA.1181 {(\000) 2 $SP} put
dup /uni683C.1448 {(\001) 2 $SP} put
dup /uni578B.1813 {(\002) 2 $SP} put
dup /uni7D4C.1830 {(\003) 2 $SP} put
dup /uni5B50.2208 {(\004) 2 $SP} put
dup /uni7D42.2356 {(\005) 2 $SP} put
dup /uni5E38.2519 {(\006) 2 $SP} put
dup /uni72B6.2525 {(\007) 2 $SP} put
dup /uni6B63.2649 {(\010) 2 $SP} put
dup /uni9001.2809 {(\011) 2 $SP} put
dup /uni8EE2.3128 {(\012) 2 $SP} put
dup /uni5225.3612 {(\013) 2 $SP} put
dup /uni4E86.3971 {(\014) 2 $SP} put
dup /uni8DEF.4047 {(\015) 2 $SP} put
 def
 end dup /FontName get exch definefont pop
+%RBIEndFontSubset
+/HiraKakuPro-W3 cguidfix
+/F1.1/HiraKakuPro-W3 renmfont
+[ /CIEBasedA 5 dict dup begin /WhitePoint [ 0.9505 1.0000 1.0891 ] def 
+/DecodeA { { 1.8008  exp } bind  exec} bind 
+def 
+/MatrixA [ 0.9642 1.0000 0.8249 ] def 
+/RangeLMN [ 0.0 2.0000 0.0 2.0000 0.0 2.0000 ] def 
+/DecodeLMN [ { 0.9857  mul} bind { 1.0000  mul} bind { 1.3202  mul} bind ] def 
+end ] /Cs1 exch/ColorSpace dr pop
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+				<string>{598.847, 303.173}</string>
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+			<key>Style</key>
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+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
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+			</dict>
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+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
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+			</dict>
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+			<array>
+				<string>{569.5, 303.173}</string>
+				<string>{487.846, 303.173}</string>
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+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
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+			<dict>
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+			</dict>
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+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
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+				<string>{584.173, 196.166}</string>
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+			<dict>
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+				<dict>
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+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>34</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
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+			</dict>
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+			<key>Points</key>
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+				<string>{598.847, 181.493}</string>
+				<string>{680.5, 181.493}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>31</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>30</integer>
+			</dict>
+			<key>ID</key>
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+			<key>Points</key>
+			<array>
+				<string>{569.5, 181.493}</string>
+				<string>{487.846, 181.493}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
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+			<key>Tail</key>
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+				<key>ID</key>
+				<integer>31</integer>
+			</dict>
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+		<dict>
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+			<string>{{681, 289}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>35</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{570, 289}, {28.3465, 28.3465}}</string>
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+			<string>ShapedGraphic</string>
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+			<integer>34</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{459, 289}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>33</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{681, 167.32}, {28.3465, 28.3465}}</string>
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+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{570, 167.32}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>31</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
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+			<string>{{459, 167.32}, {28.3465, 28.3465}}</string>
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+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>30</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>30</integer>
+			</dict>
+			<key>ID</key>
+			<integer>29</integer>
+			<key>Points</key>
+			<array>
+				<string>{473.173, 288.5}</string>
+				<string>{473.173, 196.166}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>33</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>28</integer>
+			<key>Points</key>
+			<array>
+				<string>{262.105, 233.11}</string>
+				<string>{288.242, 281.896}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>5</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>8</integer>
+			</dict>
+			<key>ID</key>
+			<integer>27</integer>
+			<key>Points</key>
+			<array>
+				<string>{248.516, 233.254}</string>
+				<string>{223.831, 281.753}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>5</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>ID</key>
+			<integer>26</integer>
+			<key>Points</key>
+			<array>
+				<string>{107.174, 233.073}</string>
+				<string>{133, 280.66}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<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>
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+			<dict>
+				<key>ID</key>
+				<integer>6</integer>
+			</dict>
+			<key>ID</key>
+			<integer>25</integer>
+			<key>Points</key>
+			<array>
+				<string>{93.3777, 233.182}</string>
+				<string>{67.9688, 281.824}</string>
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+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
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+			<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>5</integer>
+			</dict>
+			<key>ID</key>
+			<integer>24</integer>
+			<key>Points</key>
+			<array>
+				<string>{188.304, 162.735}</string>
+				<string>{244.042, 210.612}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>2</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>23</integer>
+			<key>Points</key>
+			<array>
+				<string>{166.103, 162.805}</string>
+				<string>{111.243, 210.541}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>0</string>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>2</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{281, 280.66}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>9</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{203, 280.66}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>8</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{125, 280.66}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>7</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{47, 280.66}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>6</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{241, 206}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>5</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{86, 206}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>4</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{163, 139}, {28.3465, 28.3465}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>2</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+		</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>IsPalette</key>
+	<string>NO</string>
+	<key>KeepToScale</key>
+	<false/>
+	<key>Layers</key>
+	<array>
+		<dict>
+			<key>Lock</key>
+			<string>NO</string>
+			<key>Name</key>
+			<string>ゃゃ 1</string>
+			<key>Print</key>
+			<string>YES</string>
+			<key>View</key>
+			<string>YES</string>
+		</dict>
+	</array>
+	<key>LayoutInfo</key>
+	<dict/>
+	<key>LinksVisible</key>
+	<string>NO</string>
+	<key>MagnetsVisible</key>
+	<string>NO</string>
+	<key>MasterSheet</key>
+	<string>鴻帥 1</string>
+	<key>MasterSheets</key>
+	<array>
+		<dict>
+			<key>ActiveLayerIndex</key>
+			<integer>0</integer>
+			<key>AutoAdjust</key>
+			<true/>
+			<key>CanvasColor</key>
+			<dict>
+				<key>w</key>
+				<string>1</string>
+			</dict>
+			<key>CanvasOrigin</key>
+			<string>{0, 0}</string>
+			<key>CanvasScale</key>
+			<real>1</real>
+			<key>ColumnAlign</key>
+			<integer>1</integer>
+			<key>ColumnSpacing</key>
+			<real>36</real>
+			<key>DisplayScale</key>
+			<string>1 cm = 1 cm</string>
+			<key>GraphicsList</key>
+			<array/>
+			<key>GridInfo</key>
+			<dict/>
+			<key>HPages</key>
+			<integer>1</integer>
+			<key>IsPalette</key>
+			<string>NO</string>
+			<key>KeepToScale</key>
+			<false/>
+			<key>Layers</key>
+			<array>
+				<dict>
+					<key>Lock</key>
+					<string>NO</string>
+					<key>Name</key>
+					<string>ゃゃ 1</string>
+					<key>Print</key>
+					<string>YES</string>
+					<key>View</key>
+					<string>YES</string>
+				</dict>
+			</array>
+			<key>LayoutInfo</key>
+			<dict/>
+			<key>Orientation</key>
+			<integer>2</integer>
+			<key>OutlineStyle</key>
+			<string>Basic</string>
+			<key>RowAlign</key>
+			<integer>1</integer>
+			<key>RowSpacing</key>
+			<real>36</real>
+			<key>SheetTitle</key>
+			<string>鴻帥 1</string>
+			<key>UniqueID</key>
+			<integer>1</integer>
+			<key>VPages</key>
+			<integer>1</integer>
+		</dict>
+	</array>
+	<key>ModificationDate</key>
+	<string>2008-02-15 20:38:27 +0900</string>
+	<key>Modifier</key>
+	<string>Fuchita Yoshihiko</string>
+	<key>NotesVisible</key>
+	<string>NO</string>
+	<key>Orientation</key>
+	<integer>1</integer>
+	<key>OriginVisible</key>
+	<string>NO</string>
+	<key>OutlineStyle</key>
+	<string>Basic</string>
+	<key>PageBreaks</key>
+	<string>YES</string>
+	<key>PrintInfo</key>
+	<dict>
+		<key>NSBottomMargin</key>
+		<array>
+			<string>float</string>
+			<string>0</string>
+		</array>
+		<key>NSLeftMargin</key>
+		<array>
+			<string>float</string>
+			<string>0</string>
+		</array>
+		<key>NSPaperSize</key>
+		<array>
+			<string>size</string>
+			<string>{595, 842}</string>
+		</array>
+		<key>NSRightMargin</key>
+		<array>
+			<string>float</string>
+			<string>0</string>
+		</array>
+		<key>NSTopMargin</key>
+		<array>
+			<string>float</string>
+			<string>0</string>
+		</array>
+	</dict>
+	<key>ReadOnly</key>
+	<string>NO</string>
+	<key>RowAlign</key>
+	<integer>1</integer>
+	<key>RowSpacing</key>
+	<real>36</real>
+	<key>SheetTitle</key>
+	<string>ｃ潟 1</string>
+	<key>SmartAlignmentGuidesActive</key>
+	<string>YES</string>
+	<key>SmartDistanceGuidesActive</key>
+	<string>YES</string>
+	<key>UniqueID</key>
+	<integer>1</integer>
+	<key>UseEntirePage</key>
+	<true/>
+	<key>VPages</key>
+	<integer>1</integer>
+	<key>WindowInfo</key>
+	<dict>
+		<key>CurrentSheet</key>
+		<string>0</string>
+		<key>DrawerOpen</key>
+		<false/>
+		<key>DrawerTab</key>
+		<string>Outline</string>
+		<key>DrawerWidth</key>
+		<real>209</real>
+		<key>FitInWindow</key>
+		<false/>
+		<key>Frame</key>
+		<string>{{321, 62}, {824, 677}}</string>
+		<key>ShowRuler</key>
+		<false/>
+		<key>ShowStatusBar</key>
+		<true/>
+		<key>VisibleRegion</key>
+		<string>{{0, 0}, {809, 563}}</string>
+		<key>Zoom</key>
+		<string>1</string>
+	</dict>
+</dict>
+</plist>
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/paper/fig/clsmesh006.eps	Fri Feb 15 20:58:55 2008 +0900
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+%%BeginFile: cg-pdf.ps
+%%Copyright: Copyright 2000-2004 Apple Computer Incorporated.
+%%Copyright: All Rights Reserved.
+currentpacking true setpacking
+/cg_md 141 dict def
+cg_md begin
+/L3? languagelevel 3 ge def
+/bd{bind def}bind def
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+/xs{exch store}bd
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+/cmmtx matrix def
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+/sc/setcolor
+/scs/setcolorspace
+/dr/defineresource
+/fr/findresource
+/T/true
+/F/false
+/d/setdash
+/w/setlinewidth
+/J/setlinecap
+/j/setlinejoin
+/M/setmiterlimit
+/i/setflat
+/rc/rectclip
+/rf/rectfill
+/rs/rectstroke
+/f/fill
+/f*/eofill
+/sf/selectfont
+/s/show
+/xS/xshow
+/yS/yshow
+/xyS/xyshow
+/S/stroke
+/m/moveto
+/l/lineto
+/c/curveto
+/h/closepath
+/n/newpath
+/q/gsave
+/Q/grestore
+counttomark 2 idiv
+{ld}repeat pop
+/SC{	
+    /ColorSpace fr scs
+}bd
+/sopr /setoverprint where{pop/setoverprint}{/pop}ifelse ld
+/soprm /setoverprintmode where{pop/setoverprintmode}{/pop}ifelse ld
+/cgmtx matrix def
+/sdmtx{cgmtx currentmatrix pop}bd
+/CM {cgmtx setmatrix}bd		
+/cm {cmmtx astore CM concat}bd	
+/W{clip newpath}bd
+/W*{eoclip newpath}bd
+statusdict begin product end dup (HP) anchorsearch{
+    pop pop pop	
+    true
+}{
+    pop	
+   (hp) anchorsearch{
+	pop pop true
+    }{
+	pop false
+    }ifelse
+}ifelse
+{	
+    { 
+	{ 
+	    pop pop 
+	    (0)dup 0 4 -1 roll put
+	    F charpath
+	}cshow
+    }
+}{
+    {F charpath}
+}ifelse
+/cply exch bd
+/cps {cply stroke}bd
+/pgsave 0 def
+/bp{/pgsave save store}bd
+/ep{pgsave restore showpage}def		
+/re{4 2 roll m 1 index 0 rlineto 0 exch rlineto neg 0 rlineto h}bd
+/scrdict 10 dict def
+/scrmtx matrix def
+/patarray 0 def
+/createpat{patarray 3 1 roll put}bd
+/makepat{
+scrmtx astore pop
+gsave
+initgraphics
+CM 
+patarray exch get
+scrmtx
+makepattern
+grestore
+setpattern
+}bd
+/cg_BeginEPSF{
+    userdict save/cg_b4_Inc_state exch put
+    userdict/cg_endepsf/cg_EndEPSF load put
+    count userdict/cg_op_count 3 -1 roll put 
+    countdictstack dup array dictstack userdict/cg_dict_array 3 -1 roll put
+    3 sub{end}repeat
+    /showpage {} def
+    0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin
+    10 setmiterlimit [] 0 setdash newpath
+    false setstrokeadjust false setoverprint	
+}bd
+/cg_EndEPSF{
+  countdictstack 3 sub { end } repeat
+  cg_dict_array 3 1 index length 3 sub getinterval
+  {begin}forall
+  count userdict/cg_op_count get sub{pop}repeat
+  userdict/cg_b4_Inc_state get restore
+  F setpacking
+}bd
+/cg_biproc{currentfile/RunLengthDecode filter}bd
+/cg_aiproc{currentfile/ASCII85Decode filter/RunLengthDecode filter}bd
+/ImageDataSource 0 def
+L3?{
+    /cg_mibiproc{pop pop/ImageDataSource{cg_biproc}def}bd
+    /cg_miaiproc{pop pop/ImageDataSource{cg_aiproc}def}bd
+}{
+    /ImageBandMask 0 def
+    /ImageBandData 0 def
+    /cg_mibiproc{
+	string/ImageBandMask xs
+	string/ImageBandData xs
+	/ImageDataSource{[currentfile/RunLengthDecode filter dup ImageBandMask/readstring cvx
+	    /pop cvx dup ImageBandData/readstring cvx/pop cvx]cvx bind}bd
+    }bd
+    /cg_miaiproc{	
+	string/ImageBandMask xs
+	string/ImageBandData xs
+	/ImageDataSource{[currentfile/ASCII85Decode filter/RunLengthDecode filter
+	    dup ImageBandMask/readstring cvx
+	    /pop cvx dup ImageBandData/readstring cvx/pop cvx]cvx bind}bd
+    }bd
+}ifelse
+/imsave 0 def
+/BI{save/imsave xd mark}bd
+/EI{imsave restore}bd
+/ID{
+counttomark 2 idiv
+dup 2 add	
+dict begin
+{def} repeat
+pop		
+/ImageType 1 def
+/ImageMatrix[Width 0 0 Height neg 0 Height]def
+currentdict dup/ImageMask known{ImageMask}{F}ifelse exch
+L3?{
+    dup/MaskedImage known
+    { 
+	pop
+	<<
+	    /ImageType 3
+	    /InterleaveType 2
+	    /DataDict currentdict
+	    /MaskDict
+	    <<  /ImageType 1
+		/Width Width
+		/Height Height
+		/ImageMatrix ImageMatrix
+		/BitsPerComponent 1
+		/Decode [0 1]
+		currentdict/Interpolate known
+		{/Interpolate Interpolate}if
+	    >>
+	>>
+    }if
+}if
+exch
+{imagemask}{image}ifelse	
+end	
+}bd
+/cguidfix{statusdict begin mark version end
+{cvr}stopped{cleartomark 0}{exch pop}ifelse
+2012 lt{dup findfont dup length dict begin
+{1 index/FID ne 2 index/UniqueID ne and
+{def} {pop pop} ifelse}forall
+currentdict end definefont pop
+}{pop}ifelse
+}bd
+/t_array 0 def
+/t_i 0 def
+/t_c 1 string def
+/x_proc{ 
+    exch t_array t_i get add exch moveto
+    /t_i t_i 1 add store
+}bd
+/y_proc{ 
+    t_array t_i get add moveto
+    /t_i t_i 1 add store
+}bd
+/xy_proc{
+        
+	t_array t_i 2 copy 1 add get 3 1 roll get 
+	4 -1 roll add 3 1 roll add moveto
+	/t_i t_i 2 add store
+}bd
+/sop 0 def		
+/cp_proc/x_proc ld 	
+/base_charpath		
+{
+    /t_array xs
+    /t_i 0 def
+    { 
+	t_c 0 3 -1 roll put
+        currentpoint
+	t_c cply sop
+        cp_proc
+    }forall
+    /t_array 0 def
+}bd
+/sop/stroke ld		
+/nop{}def
+/xsp/base_charpath ld
+/ysp{/cp_proc/y_proc ld base_charpath/cp_proc/x_proc ld}bd
+/xysp{/cp_proc/xy_proc ld base_charpath/cp_proc/x_proc ld}bd
+/xmp{/sop/nop ld /cp_proc/x_proc ld base_charpath/sop/stroke ld}bd
+/ymp{/sop/nop ld /cp_proc/y_proc ld base_charpath/sop/stroke ld}bd
+/xymp{/sop/nop ld /cp_proc/xy_proc ld base_charpath/sop/stroke ld}bd
+/refnt{ 
+findfont dup length dict copy dup
+/Encoding 4 -1 roll put 
+definefont pop
+}bd
+/renmfont{ 
+findfont dup length dict copy definefont pop
+}bd
+L3? dup dup{save exch}if
+/Range 0 def
+/DataSource 0 def
+/val 0 def
+/nRange 0 def
+/mulRange 0 def
+/d0 0 def
+/r0 0 def
+/di 0 def
+/ri 0 def
+/a0 0 def
+/a1 0 def
+/r1 0 def
+/r2 0 def
+/dx 0 def
+/Nsteps 0 def
+/sh3tp 0 def
+/ymax 0 def
+/ymin 0 def
+/xmax 0 def
+/xmin 0 def
+/setupFunEval 
+{
+    begin
+	/nRange Range length 2 idiv store
+	/mulRange   
+		    
+	[ 
+	    0 1 nRange 1 sub
+	    { 
+		    2 mul/nDim2 xd		
+		    Range nDim2 get		
+		    Range nDim2 1 add get	
+		    1 index sub			
+						
+		    255 div			
+		    exch			
+	    }for
+	]store
+    end
+}bd
+/FunEval 
+{
+    begin
+	
+	nRange mul /val xd	
+				
+	0 1 nRange 1 sub
+	{
+	    dup 2 mul/nDim2 xd 
+	    val	
+	    add DataSource exch get 
+	    mulRange nDim2 get mul 	
+	    mulRange nDim2 1 add get 
+	    add 
+	}for	
+    end
+}bd
+/max 
+{
+	2 copy lt
+	{exch pop}{pop}ifelse
+}bd
+/sh2
+{	
+	/Coords load aload pop 	
+	3 index 3 index translate	
+					
+	3 -1 roll sub	
+	3 1 roll exch 	
+	sub				
+	2 copy
+	dup mul exch dup mul add sqrt	
+	dup
+	scale  
+	atan	
+	
+	rotate		
+	
+	/Function load setupFunEval	
+	
+	
+	clippath {pathbbox}stopped {0 0 0 0}if newpath 	
+	/ymax xs
+	/xmax xs
+	/ymin xs
+	/xmin xs
+	currentdict/Extend known
+	{
+		/Extend load 0 get
+		{	
+			0/Function load FunEval sc	
+			xmin ymin xmin abs ymax ymin sub rectfill
+		}if
+	}if
+	
+	/Nsteps/Function load/Size get 0 get 1 sub store
+	/dx 1 Nsteps div store
+	gsave
+		/di ymax ymin sub store
+		/Function load
+		
+		0 1 Nsteps
+		{
+			1 index FunEval sc
+			0 ymin dx di rectfill
+			dx 0 translate
+		}for
+		pop	
+	grestore	
+	currentdict/Extend known
+	{
+		/Extend load 1 get
+		{	
+			Nsteps/Function load FunEval sc	
+			1 ymin xmax 1 sub abs ymax ymin sub rectfill
+		}if
+	}if
+}bd
+/shp	
+{	
+	4 copy
+	
+	dup 0 gt{
+		0 exch a1 a0 arc
+	}{
+		pop 0 moveto
+	}ifelse
+	dup 0 gt{
+		0 exch a0 a1 arcn
+	}{
+		pop 0 lineto
+	}ifelse
+	
+	fill
+	
+	dup 0 gt{
+		0 exch a0 a1 arc
+	}{
+		pop 0 moveto
+	}ifelse
+	dup 0 gt{
+		0 exch a1 a0 arcn
+	}{
+		pop 0 lineto
+	}ifelse
+	
+	fill
+}bd
+/calcmaxs
+{	
+	
+	xmin dup mul ymin dup mul add sqrt		
+	xmax dup mul ymin dup mul add sqrt		
+	xmin dup mul ymax dup mul add sqrt		
+	xmax dup mul ymax dup mul add sqrt		
+	max max max								
+}bd
+/sh3
+{	
+	/Coords load aload pop 	
+	5 index 5 index translate	
+	3 -1 roll 6 -1 roll sub		
+	3 -1 roll 5 -1 roll sub		
+	2 copy dup mul exch dup mul add sqrt
+	/dx xs						
+	2 copy 0 ne exch 0 ne or
+	{
+		
+		exch atan rotate	
+	}{
+		pop pop
+	}ifelse
+	
+	/r2 xs
+	/r1 xs
+	/Function load 
+	dup/Size get 0 get 1 sub	
+	/Nsteps xs		
+	setupFunEval		
+	
+	
+	
+	
+	
+	dx r2 add r1 lt{
+		
+		0 
+	}{
+		dx r1 add r2 le
+		{ 
+			1
+		}{ 
+			r1 r2 eq
+			{	
+				2
+			}{ 
+				3
+			}ifelse		
+		}ifelse
+	}ifelse
+	/sh3tp xs		
+	clippath {pathbbox}stopped {0 0 0 0}if 
+	newpath 	
+	/ymax xs
+	/xmax xs
+	/ymin xs
+	/xmin xs
+	
+	dx dup mul r2 r1 sub dup mul sub dup 0 gt
+	{
+		sqrt r2 r1 sub atan
+		/a0 exch 180 exch sub store 
+		/a1 a0 neg store 
+	}{
+		pop
+		/a0 0 store
+		/a1 360 store		
+	}ifelse		
+	currentdict/Extend known
+	{
+		/Extend load 0 get r1 0 gt and	
+		{	
+			0/Function load FunEval sc	
+			
+			
+			
+			
+			{ 
+				{	
+					dx 0 r1 360 0 arcn
+					xmin ymin moveto
+					xmax ymin lineto
+					xmax ymax lineto
+					xmin ymax lineto
+					xmin ymin lineto
+					eofill		
+				}
+				{	
+					r1 0 gt{0 0 r1 0 360 arc fill}if
+				}
+				{	
+					
+					
+				
+					
+					0 r1 xmin abs r1 add neg r1 shp
+				}
+				{	
+					
+				
+					r2 r1 gt{	
+						
+						0 r1
+						r1 neg r2 r1 sub div dx mul	
+						0	
+						shp	
+					}{	
+						
+						
+						
+						0 r1 calcmaxs	
+						dup
+						
+						r2 add dx mul dx r1 r2 sub sub div
+						neg				
+						exch 1 index	
+						abs exch sub
+						shp
+					}ifelse
+				} 
+			}sh3tp get exec	
+		}if
+	}if
+	
+	/d0 0 store
+	/r0 r1 store
+	/di dx Nsteps div store
+	/ri r2 r1 sub Nsteps div store 
+	/Function load 
+	0 1 Nsteps
+	{	
+		1 index FunEval sc
+		d0 di add r0 ri add d0 r0 shp
+		{
+		
+		d0 0 r0 a1 a0 arc
+		d0 di add 0 r0 ri add a0 a1 arcn
+		fill
+		
+		
+		d0 0 r0 a0 a1 arc
+		d0 di add 0 r0 ri add a1 a0 arcn
+		fill
+		}pop
+		
+		
+		/d0 d0 di add store
+		/r0 r0 ri add store
+	}for
+	pop	
+	
+	currentdict/Extend known
+	{
+		/Extend load 1 get r2 0 gt and	
+		{	
+			Nsteps/Function load FunEval sc	
+			
+			
+			
+			
+			{ 
+				{
+					dx 0 r2 0 360 arc fill
+				} 
+				{
+					dx 0 r2 360 0 arcn
+					xmin ymin moveto
+					xmax ymin lineto
+					xmax ymax lineto
+					xmin ymax lineto
+					xmin ymin lineto
+					eofill		
+				} 
+				{	
+					
+					
+					xmax abs r1 add r1 dx r1 shp
+				}	
+				{	
+			
+					r2 r1 gt{
+						
+						
+						
+						calcmaxs dup	
+						
+						r1 add dx mul dx r2 r1 sub sub div	
+						exch 1 index	
+						exch sub
+						dx r2
+						shp
+					}{	
+						
+						r1 neg r2 r1 sub div dx mul	
+						0		
+						dx 		
+						r2		
+						shp
+					}ifelse
+				}
+			}			
+			sh3tp get exec	
+		}if
+	}if
+}bd
+/sh		
+{	
+	begin
+		/ShadingType load dup dup 2 eq exch 3 eq or
+		{	
+			gsave
+				newpath
+				/ColorSpace load scs
+				currentdict/BBox known
+				{
+					/BBox load aload pop	
+					2 index sub				
+					3 index					
+					3 -1 roll exch sub 
+					exch rectclip
+				}if
+				2 eq
+				{sh2}{sh3}ifelse
+			grestore
+		}{
+			
+			pop 
+			(DEBUG: shading type unimplemented\n)print flush
+		}ifelse
+	end
+}bd
+{restore}if not dup{save exch}if
+	L3?{	
+		/sh/shfill ld
+		/csq/clipsave ld
+		/csQ/cliprestore ld
+	}if
+{restore}if
+end
+setpacking
+%%EndFile
+%%EndProlog
+%%BeginSetup
+%%EndSetup
+%%Page: 1 1
+%%PageBoundingBox: 0 0 541 277
+%%BeginPageSetup
+cg_md begin
+bp
+sdmtx
+[ /CIEBasedA 5 dict dup begin /WhitePoint [ 0.9505 1.0000 1.0891 ] def 
+/DecodeA { { 1.8008  exp } bind  exec} bind 
+def 
+/MatrixA [ 0.9642 1.0000 0.8249 ] def 
+/RangeLMN [ 0.0 2.0000 0.0 2.0000 0.0 2.0000 ] def 
+/DecodeLMN [ { 0.9857  mul} bind { 1.0000  mul} bind { 1.3202  mul} bind ] def 
+end ] /Cs1 exch/ColorSpace dr pop
+[ /CIEBasedABC 4 dict dup begin 
+/WhitePoint [ 0.9505 1.0000 1.0891 ] def 
+/DecodeABC [ { 1.8008  exp } bind { 1.8008  exp } bind { 1.8008  exp } bind ] def 
+/MatrixABC [ 0.4294 0.2332 0.0202 0.3278 0.6737 0.1105 0.1933 0.0938 0.9580 ] def 
+/RangeLMN [ 0.0 0.9505 0.0 1.0000 0.0 1.0891 ] def 
+end ] /Cs2 exch/ColorSpace dr pop
+%%EndPageSetup
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+BI
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+0 1
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+/Interpolate true
+/DataSource cg_aiproc
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--- a/paper/master_paper.aux	Fri Feb 15 13:32:27 2008 +0900
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