Mercurial > hg > Papers > 2011 > yuu-thesis

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/Makefile	Thu Nov 17 04:11:37 2011 +0900
@@ -0,0 +1,20 @@
+TARGET=yuu-preliminary
+EPS=$(shell ls ./fig/*.eps)
+PDF=$(EPS:%.eps=%.pdf)
+
+.SUFFIXES: .eps .pdf
+
+all: $(TARGET).pdf
+
+$(TARGET).pdf: $(TARGET).dvi
+	dvipdfmx $(TARGET).dvi
+	open $(TARGET).pdf
+
+$(TARGET).dvi: $(TARGET).tex
+	platex $(TARGET).tex
+
+.eps.pdf:
+	epspdf $<
+
+clean:
+	rm *.{log,aux,dvi,pdf}
\ No newline at end of file
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
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+			{
+				{
+					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 0 277 101
+%%BeginPageSetup
+cg_md begin
+bp
+sdmtx
+%RBIBeginFontSubset: Helvetica
+%!FontType1-1.0: Helvetica 1.0000.0.0000
+
14 dict begin/FontName /Helvetica def
+
/PaintType 0 def
+
/Encoding 256 array 0 1 255{1 index exch/.notdef put}for
+
dup 33 /T put
+
dup 34 /six put
+
dup 35 /five put
+
dup 36 /four put
+
dup 37 /three put
+
dup 38 /one put
+
dup 39 /two put
+
readonly def
+
42/FontType resourcestatus{pop pop false}{true}ifelse
+
%APLsfntBegin
+
{currentfile 0(%APLsfntEnd\n)/SubFileDecode filter flushfile}if
+
/FontType 42 def
+
/FontMatrix matrix def
+
/FontBBox[2048 -1947 1 index div -985 2 index div 2961 3 index div 2297 5 -1 roll div]cvx def
+
/sfnts [<
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00>] def
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/CharStrings 8 dict dup begin
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currentdict dup/FontName get exch definefont pop end
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%APLsfntEnd
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42/FontType resourcestatus{pop pop true}{false}ifelse
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{currentfile 0(%APLT1End\n)/SubFileDecode filter flushfile}if
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/FontMatrix [ 0.00048828125 0 0 0.00048828125 0 0 ] def
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/FontBBox{-1947 -985 2961 2297}def
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/UniqueID 4265107 def
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currentdict currentfile eexec
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+++ b/picins.sty	Thu Nov 17 04:11:37 2011 +0900
@@ -0,0 +1,578 @@
+%       PICINS.STY --- Style File zum Einbinden von Bildern
+%       Autor:  J. Bleser, E. Lang
+%       Hochschulrechenzentrum
+%       Technische Hochschule Darmstadt
+%       !!!  Dieses Style-File ist urheberrechtlich geschuetzt  !!!
+%       !!!  Aenderungen nur mit Zustimmung der Autoren         !!!
+\message{Option `picins' Version 3.0  Sep. 1992, TH Darmstadt/HRZ}
+\newbox\@BILD%
+\newbox\@TEXT%
+\newdimen\d@breite%
+\newdimen\d@hoehe%
+\newdimen\d@xoff%
+\newdimen\d@yoff%
+\newdimen\d@shad%
+\newdimen\d@dash%
+\newdimen\d@boxl%
+\newdimen\d@pichskip%
+\newdimen\d@tmp
+\newdimen\d@tmpa
+\newdimen\d@bskip
+\newdimen\hsiz@%
+\newdimen\p@getot@l%
+\newcount\c@breite
+\newcount\c@hoehe
+\newcount\c@xoff
+\newcount\c@yoff
+\newcount\c@pos
+\newcount\c@shad
+\newcount\c@dash
+\newcount\c@boxl
+\newcount\c@zeilen%
+\newcount\@changemode%
+\newcount\c@piccaption%
+\newcount\c@piccaptionpos%
+\newcount\c@picpos
+\newcount\c@whole%
+\newcount\c@half%
+\newcount\c@tmp
+\newcount\c@tmpa
+\newcount\c@tmpb
+\newcount\c@tmpc
+\newcount\c@tmpd
+\newskip\d@leftskip
+\newif\if@list \@listfalse%
+\newif\if@offset%
+
+
+\c@piccaptionpos=1%
+\c@picpos=0
+\d@shad=4pt%
+\d@dash=4pt%
+\d@boxl=10pt%
+\d@pichskip=1em%
+\@changemode=0%
+\def\@captype{figure}%
+\let\old@par=\par%
+
+\def\pichskip#1{\d@pichskip #1\relax}
+
+
+\def\shadowthickness#1{\d@shad #1\relax}
+
+
+\def\dashlength#1{\d@dash #1\relax}
+
+
+\def\boxlength#1{\d@boxl #1\relax}
+
+
+\def\picchangemode{\@changemode=1}%
+\def\nopicchangemode{\@changemode=0}%
+
+
+\def\piccaptionoutside{\c@piccaptionpos=1}%
+\def\piccaptioninside{\c@piccaptionpos=2}%
+\def\piccaptionside{\c@piccaptionpos=3}%
+\def\piccaptiontopside{\c@piccaptionpos=4}%
+
+\def\piccaption{\@ifnextchar [{\@piccaption}{\@piccaption[]}}
+\def\@piccaption[#1]#2{\c@piccaption=1\def\sh@rtf@rm{#1}\def\capti@nt@xt{#2}}
+\def\make@piccaption{%
+ \hsiz@\d@breite%
+ \ifnum\c@piccaptionpos=2%
+   \advance\hsiz@ -2\fboxsep%
+ \fi%
+ \ifnum\c@piccaptionpos>2%
+   \hsiz@\hsize\advance\hsiz@-\d@breite\advance\hsiz@-\d@pichskip%
+ \fi%
+ \setbox\@TEXT=\vbox{\hsize\hsiz@\caption[\sh@rtf@rm]{\capti@nt@xt}}%
+}
+
+
+
+\def\newcaption{\refstepcounter\@captype\@dblarg{\@newcaption\@captype}}
+\long\def\@newcaption#1[#2]#3{%
+  \old@par%
+  \addcontentsline{\csname ext@#1\endcsname }{#1}%
+    {\protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}
+  \begingroup\@parboxrestore\normalsize%
+    \@newmakecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\old@par%
+  \endgroup%
+}
+\long\def\@newmakecaption#1#2{%
+  \vskip 10pt%
+  \setbox\@tempboxa \hbox {#1: #2}%
+  \ifdim \wd\@tempboxa >\hsize%
+    \setbox0=\hbox{#1: }\dimen0=\hsize\advance\dimen0 by-\wd0
+    \setbox1=\vtop{\hsize=\dimen0 #2}
+    \hbox{\box0 \box1}
+    \par
+  \else \hbox to\hsize {\hfil \box \@tempboxa \hfil}
+  \fi
+}
+
+
+
+
+
+\def\parpic{%
+  \@ifnextchar ({\iparpic}{\iparpic(0pt,0pt)}
+}
+\def\iparpic(#1,#2){%
+  \@ifnextchar ({\@offsettrue\iiparpic(#1,#2)}%
+                {\@offsetfalse\iiparpic(#1,#2)(0pt,0pt)}
+}
+\def\iiparpic(#1,#2)(#3,#4){%
+  \@ifnextchar [{\iiiparpic(#1,#2)(#3,#4)}{\iiiparpic(#1,#2)(#3,#4)[l]}
+}
+\def\iiiparpic(#1,#2)(#3,#4)[#5]{%
+  \@ifnextchar [{\ivparpic(#1,#2)(#3,#4)[#5]}{\ivparpic(#1,#2)(#3,#4)[#5][]}
+}
+\def\ivparpic(#1,#2)(#3,#4)[#5][#6]#7{%
+ \let\par=\old@par\par%
+ \hangindent0pt\hangafter1%
+ \setbox\@BILD=\hbox{#7}%
+ \d@breite=#1\d@breite=\the\d@breite%
+ \ifdim\d@breite=0pt\d@breite=\wd\@BILD\fi%
+ \c@breite=\d@breite\divide\c@breite by65536%
+ \multiply\c@piccaption\c@piccaptionpos%
+ \d@hoehe=#2\d@hoehe=\the\d@hoehe%
+ \ifdim\d@hoehe=0pt\d@hoehe=\ht\@BILD\advance\d@hoehe by\dp\@BILD\fi%
+ \c@hoehe=\d@hoehe\divide\c@hoehe by65536%
+ \d@xoff=#3\c@xoff=\d@xoff\divide\c@xoff by65536%
+ \d@yoff=\d@hoehe%
+ \advance\d@yoff by-#4\c@yoff=\d@yoff\divide\c@yoff by65536%
+ \c@pos=1\unitlength1pt%
+ \if@offset%
+   \setbox\@BILD=\hbox{%
+     \begin{picture}(\c@breite,\c@hoehe)%
+       \put(0,0){\makebox(\c@breite,\c@hoehe){}}%
+       \put(\c@xoff,\c@yoff){\box\@BILD}%
+     \end{picture}%
+   }%
+ \else%
+   \setbox\@BILD=\hbox{%
+     \begin{picture}(\c@breite,\c@hoehe)%
+       \put(0,0){\makebox(\c@breite,\c@hoehe)[#6]{\box\@BILD}}%
+     \end{picture}%
+   }%
+ \fi%
+ \ifnum\c@piccaption=2%
+   \make@piccaption%
+   \advance\d@hoehe\ht\@TEXT\advance\d@hoehe\dp\@TEXT%
+   \c@hoehe=\d@hoehe\divide\c@hoehe by65536%
+   \setbox\@BILD=\vbox{\box\@BILD\vspace{-5pt}%
+                       \hbox{\hspace{\fboxsep}\box\@TEXT}%
+                       \vspace{4pt}}%
+ \fi%
+ \@tfor\@tempa := #5\do{%
+   \if\@tempa f\setbox\@BILD=\hbox{\Rahmen(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+   \if\@tempa s\setbox\@BILD=\hbox{\Schatten(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+   \if\@tempa o\setbox\@BILD=\hbox{\Oval(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+   \if\@tempa d\setbox\@BILD=\hbox{\Strich(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+   \if\@tempa x\setbox\@BILD=\hbox{\Kasten(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+   \if\@tempa l\c@pos=1\fi%
+   \if\@tempa r\c@pos=2\fi%
+ }%
+ \ifnum\c@piccaption=1%
+   \make@piccaption%
+   \advance\d@hoehe\ht\@TEXT\advance\d@hoehe\dp\@TEXT%
+   \c@hoehe=\d@hoehe\divide\c@hoehe by65536%
+   \setbox\@BILD=\vbox{\box\@BILD\vspace{-5pt}\hbox{\box\@TEXT}\vspace{4pt}}%
+ \fi%
+ \ifodd\count0\c@picpos=0\else\c@picpos=\@changemode\fi%
+ \pagetotal=\the\pagetotal%
+ \d@tmp=\pagegoal\advance\d@tmp by-\pagetotal\advance\d@tmp by-\baselineskip%
+ \ifdim\d@hoehe>\d@tmp%
+   \vskip 0pt plus\d@hoehe\relax\pagebreak[3]\vskip 0pt plus-\d@hoehe\relax%
+   \ifnum\c@picpos=1\c@picpos=0\else\c@picpos=\@changemode\fi%
+ \fi%
+ \ifnum\c@picpos=1\ifnum\c@pos=1\c@pos=2\else\c@pos=1\fi\fi%
+ \ifnum\@listdepth>0
+   \@listtrue\parshape 0%
+   \advance\hsize -\rightmargin%
+   \d@leftskip \leftskip%
+   \leftskip \@totalleftmargin%
+   \if@inlabel\rule{\linewidth}{0pt}\vskip-\baselineskip\relax\fi%
+ \else\@listfalse\medskip%
+ \fi%
+ \if@list\d@tmpa=\linewidth\else\d@tmpa=\hsize\fi%
+ \ifnum\c@piccaption=3%
+   \make@piccaption%
+   \d@tmp\ht\@TEXT\advance\d@tmp\dp\@TEXT%
+   \ifdim\d@hoehe>\d@tmp%
+     \setbox\@TEXT=\vbox to\d@hoehe{\vfill\box\@TEXT\vspace{.2\baselineskip}\vfill}%
+   \else%
+     \setbox\@BILD=\vbox to\d@tmp{\vfill\box\@BILD\vfill}%
+     \d@hoehe\d@tmp%
+   \fi%
+ \fi%
+ \ifnum\c@piccaption=4%
+   \make@piccaption%
+   \d@tmp\ht\@TEXT\advance\d@tmp\dp\@TEXT%
+   \setbox\@TEXT=\vbox to\d@hoehe{\vspace{-10pt}\box\@TEXT\vfil}%
+   \advance\d@hoehe-\d@tmp%
+ \fi%
+ \ifnum\c@pos=1\d@tmpa=0pt%
+   \ifnum\c@piccaption>2%
+      \setbox\@BILD=\hbox{\box\@BILD\hspace{\d@pichskip}\hbox{\box\@TEXT}}%
+   \fi%
+ \else\advance\d@tmpa by-\wd\@BILD\d@breite=-\d@breite%
+   \ifnum\c@piccaption>2%
+      \d@tmpa=0pt%
+      \setbox\@BILD=\hbox{\hbox{\box\@TEXT}\hspace{\d@pichskip}\box\@BILD}%
+   \fi%
+ \fi%
+ \p@getot@l\the\pagetotal%
+ \d@bskip\d@hoehe\advance\d@bskip by\parskip\advance\d@bskip by.3\baselineskip%
+ {\noindent\hspace*{\d@tmpa}\relax%
+  \box\@BILD\nopagebreak\vskip-\d@bskip\relax\nopagebreak}%
+ \d@tmp=-\d@hoehe\divide\d@tmp by\baselineskip%
+ \c@zeilen=\d@tmp\advance\c@zeilen by-1%
+ \ifdim\d@breite<0pt\advance\d@breite by-\d@pichskip%
+ \else\advance\d@breite by\d@pichskip%
+ \fi%
+ \hangindent=\d@breite%
+ \hangafter=\c@zeilen%
+ \let\par=\x@par%
+ \ifnum\c@piccaption=3%
+    \hangindent0pt\hangafter1\let\par=\old@par%
+    \vskip\d@hoehe\vskip.2\baselineskip%
+ \fi%
+ \c@piccaption=0%
+}
+
+
+
+
+\newdimen\ptoti
+\newdimen\ptotii
+\def\x@par{%
+ \ptoti\pagetotal%
+ \old@par%
+ \ptotii\pagetotal%
+ \ifdim\ptoti=\ptotii%
+   \d@tmp\d@hoehe%
+ \else%
+   \d@tmp\baselineskip%
+   \multiply\d@tmp by\prevgraf%
+   \advance\d@tmp by\parskip%
+   \global\advance\d@hoehe by-\d@tmp\d@tmp=\d@hoehe%
+ \fi%
+ \ifdim\d@hoehe>0pt%
+   \divide\d@tmp by\baselineskip\c@zeilen=-\d@tmp\advance\c@zeilen by-1%
+   \c@zeilen=\the\c@zeilen%
+ \else\c@zeilen=0
+ \fi
+ \ifnum\c@zeilen<0\hangafter=\c@zeilen\hangindent=\d@breite%
+ \else\let\par=\old@par%
+   \hangindent 0pt%
+   \leftskip \d@leftskip%
+   \if@list\parshape \@ne \@totalleftmargin \linewidth%
+     \advance\hsize \rightmargin%
+   \fi%
+ \fi%
+}
+
+
+\def\picskip#1{%
+ \let\par=\old@par%
+ \par%
+ \pagetotal\the\pagetotal%
+ \c@tmp=#1\relax%
+ \ifnum\c@tmp=0%
+   \d@tmp\baselineskip\multiply\d@tmp by\prevgraf\advance\d@tmp\parskip%
+   \ifdim\p@getot@l<\pagetotal
+     \advance\d@hoehe by-\d@tmp\advance\d@hoehe by1ex%
+     \ifdim\d@hoehe>0pt\vspace*{\d@hoehe}\fi%
+   \fi%
+   \ifdim\p@getot@l=\pagetotal%
+     \advance\d@hoehe by-\d@tmp\advance\d@hoehe by1ex%
+     \ifdim\d@hoehe>0pt\vspace*{\d@hoehe}\fi%
+   \fi%
+ \else\hangafter=-\c@tmp\hangindent=\d@breite%
+ \fi%
+ \leftskip \d@leftskip%
+ \if@list\parshape \@ne \@totalleftmargin \linewidth%
+   \advance\hsize \rightmargin%
+ \fi%
+}
+
+
+
+
+
+
+\def\hpic{%
+  \@ifnextchar ({\ihpic}{\ihpic(0pt,0pt)}
+}
+\def\ihpic(#1,#2){%
+  \@ifnextchar ({\@offsettrue\iihpic(#1,#2)}%
+                {\@offsetfalse\iihpic(#1,#2)(0pt,0pt)}
+}
+\def\iihpic(#1,#2)(#3,#4){%
+  \@ifnextchar [{\iiihpic(#1,#2)(#3,#4)}{\iiihpic(#1,#2)(#3,#4)[l]}
+}
+\def\iiihpic(#1,#2)(#3,#4)[#5]{%
+  \@ifnextchar [{\ivhpic(#1,#2)(#3,#4)[#5]}{\ivhpic(#1,#2)(#3,#4)[#5][]}
+}
+\def\ivhpic(#1,#2)(#3,#4)[#5][#6]#7{%
+  \setbox\@BILD=\hbox{#7}%
+  \d@breite=#1\d@breite=\the\d@breite%
+  \ifdim\d@breite=0pt\d@breite=\wd\@BILD\fi%
+  \c@breite=\d@breite\divide\c@breite by65536%
+  \d@hoehe=#2\d@hoehe=\the\d@hoehe%
+  \ifdim\d@hoehe=0pt\d@hoehe=\ht\@BILD\advance\d@hoehe by\dp\@BILD\fi%
+  \c@hoehe=\d@hoehe\divide\c@hoehe by65536%
+  \d@xoff=#3\c@xoff=\d@xoff\divide\c@xoff by65536%
+  \d@yoff=\d@hoehe%
+  \advance\d@yoff by-#4\c@yoff=\d@yoff\divide\c@yoff by65536%
+  \c@pos=0\d@tmpa=\parindent\parindent=0pt\unitlength1pt%
+  \if@offset
+    \setbox\@BILD=\hbox{%
+      \begin{picture}(\c@breite,\c@hoehe)%
+        \put(0,0){\makebox(\c@breite,\c@hoehe){}}%
+        \put(\c@xoff,\c@yoff){\box\@BILD}%
+      \end{picture}%
+    }%
+  \else%
+    \setbox\@BILD=\hbox{%
+      \begin{picture}(\c@breite,\c@hoehe)%
+        \put(0,0){\makebox(\c@breite,\c@hoehe)[#6]{\box\@BILD}}%
+      \end{picture}%
+    }%
+  \fi%
+  \@tfor\@tempa := #5\do{%
+    \if\@tempa f\setbox\@BILD=\hbox{\Rahmen(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+    \if\@tempa s\setbox\@BILD=\hbox{\Schatten(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+    \if\@tempa o\setbox\@BILD=\hbox{\Oval(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+    \if\@tempa d\setbox\@BILD=\hbox{\Strich(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+    \if\@tempa x\setbox\@BILD=\hbox{\Kasten(\c@breite,\c@hoehe){\box\@BILD}}\fi%
+    \if\@tempa t\c@pos=1\fi%
+    \if\@tempa b\c@pos=2\fi%
+  }%
+ \ifnum\c@pos=0\parbox{\d@breite}{\makebox[0cm]{}\\\box\@BILD\smallskip}\fi%
+ \ifnum\c@pos=1\parbox[t]{\d@breite}{\makebox[0cm]{}\\\box\@BILD\smallskip}\fi%
+ \ifnum\c@pos=2\parbox[b]{\d@breite}{\makebox[0cm]{}\\\box\@BILD\smallskip}\fi%
+ \parindent=\d@tmpa%
+}
+
+
+
+
+
+
+\def\Rahmen(#1,#2)#3{%
+  \c@whole=\@wholewidth\divide\c@whole by65536%
+  \c@half=\@halfwidth\divide\c@half by65536%
+  \c@tmpa=#1\advance\c@tmpa by\c@whole\advance\c@tmpa by\c@whole%
+  \c@tmpb=#2\advance\c@tmpb by\c@whole\advance\c@tmpb by\c@whole%
+  \begin{picture}(\c@tmpa,\c@tmpb)%
+    \put(\c@whole,\c@half){\framebox(#1,#2){#3}}%
+  \end{picture}%
+  \global\advance\d@breite by2\@wholewidth%
+  \global\advance\d@hoehe by2\@wholewidth%
+}
+
+
+\def\Schatten(#1,#2)#3{%
+  \c@whole=\@wholewidth\divide\c@whole by65536%
+  \c@half=\@halfwidth\divide\c@half by65536%
+  \c@shad=\d@shad\divide\c@shad by65536%
+  \c@tmp=\c@whole\advance\c@tmp by\c@whole\c@tmpd=\c@tmp%
+  \advance\c@tmp by\c@shad%
+  \advance\c@tmpd by#1%
+  \advance\c@half by\c@shad%
+  \c@tmpa=#1\advance\c@tmpa by\c@tmp%
+  \c@tmpb=#2\advance\c@tmpb by\c@tmp%
+  \begin{picture}(\c@tmpa,\c@tmpb)%
+    \put(\c@whole,\c@half){\framebox(#1,#2){#3}}%
+    \put(\c@shad,0){\rule{\c@tmpd pt}{\c@shad pt}}%
+    \put(\c@tmpd,0){\rule{\c@shad pt}{#2 pt}}%
+  \end{picture}%
+  \global\advance\d@breite by2\@wholewidth\global\advance\d@breite by\d@shad%
+  \global\advance\d@hoehe by2\@wholewidth\global\advance\d@hoehe by\d@shad%
+}
+
+
+\def\Oval(#1,#2)#3{%
+  \@wholewidth=0.4pt%
+  \c@tmpa=\the#1\divide\c@tmpa by2%
+  \c@tmpb=\the#2\divide\c@tmpb by2%
+  \begin{picture}(#1,#2)%
+    \put(\c@tmpa,\c@tmpb){\oval(#1,#2)}%
+    \put(0.4,0.4){#3}%
+  \end{picture}%
+  \global\advance\d@breite by1pt\global\advance\d@hoehe by1pt%
+}
+
+
+\def\Strich(#1,#2)#3{%
+  \c@whole=\@wholewidth\divide\c@whole by65536%
+  \c@half=\@halfwidth\divide\c@half by65536%
+  \c@dash=\d@dash\divide\c@dash by65536%
+  \c@tmp=\c@whole\advance\c@tmp by\c@whole%
+  \c@tmpa=#1\advance\c@tmpa by\c@tmp%
+  \c@tmpb=#2\advance\c@tmpb by\c@tmp%
+  \c@tmpc=#1\advance\c@tmpc by\c@whole%
+  \c@tmpd=#2\advance\c@tmpd by\c@whole%
+  \begin{picture}(\c@tmpa,\c@tmpb)%
+    \put(\c@half,\c@half){\dashbox{\c@dash}(\c@tmpc,\c@tmpd){#3}}%
+  \end{picture}%
+  \global\advance\d@breite by2\@wholewidth%
+  \global\advance\d@hoehe by2\@wholewidth%
+}
+
+
+\def\Kasten(#1,#2)#3{%
+  \@wholewidth=0.4pt%
+  \c@boxl=\d@boxl\divide\c@boxl by65536\c@boxl=\the\c@boxl%
+  \c@tmpa=#1\advance\c@tmpa by\c@boxl%
+  \c@tmpb=#2\advance\c@tmpb by\c@boxl%
+  \c@tmp=#2%
+  \begin{picture}(\c@tmpa,\c@tmpb)%
+    \put(0,\c@boxl){\framebox(#1,#2){#3}}%
+    \put(\c@boxl,0){\line(-1,1){\c@boxl}}%
+    \put(\c@boxl,0){\line(1,0){#1}\line(-1,1){\c@boxl}}%
+    \put(\c@boxl,0){\put(#1,0){\line(0,1){\c@tmp}%
+         \put(0,\c@tmp){\line(-1,1){\c@boxl}}}}%
+  \end{picture}%
+  \global\advance\d@breite by\d@boxl%
+  \global\advance\d@hoehe by\d@boxl%
+}
+
+
+
+
+
+\newbox\env@box%
+\newdimen\d@envdp
+\newcount\c@hsize
+\newcount\c@envdp
+\newdimen\d@envb
+
+\long\def\frameenv{\@ifnextchar [{\@frameenv}{\@frameenv[\textwidth]}}
+\long\def\@frameenv[#1]{%
+ \hsiz@=\textwidth  \textwidth=#1  \d@envb=#1
+ \advance\textwidth by-2\@wholewidth
+ \advance\textwidth by-2\fboxsep
+ \hsize=\textwidth   \linewidth=\textwidth
+ \setbox\env@box=\vbox\bgroup}%
+\def\endframeenv{%
+ \egroup%
+ \hsize=\hsiz@  \textwidth=\hsiz@  \linewidth=\hsiz@
+ \c@breite=\d@envb   \divide\c@breite by65536
+ \advance\d@envb by-2\@wholewidth
+ \c@hsize=\d@envb  \divide\c@hsize by65536%
+ \d@envdp=\dp\env@box  \advance\d@envdp by\ht\env@box%
+ \advance\d@envdp by2\fboxsep%
+ \d@hoehe=\d@envdp   \advance\d@hoehe by2\@wholewidth
+ \c@hoehe=\d@hoehe   \divide\c@hoehe by65536
+ \c@envdp=\d@envdp   \divide\c@envdp by65536%
+ \c@tmp=\@wholewidth \divide\c@tmp by65536
+ \vskip\@wholewidth%
+ \unitlength 1pt\noindent%
+ \begin{picture}(\c@breite,\c@hoehe)(0,0)
+   \put(\c@tmp,\c@tmp){\framebox(\c@hsize,\c@envdp){\box\env@box}}
+ \end{picture}%
+}
+
+
+
+\long\def\shadowenv{\@ifnextchar [{\@shadowenv}{\@shadowenv[\textwidth]}}
+\long\def\@shadowenv[#1]{%
+ \hsiz@=\textwidth  \textwidth=#1  \d@envb=#1
+ \advance\textwidth by-2\@wholewidth
+ \advance\textwidth by-2\fboxsep
+ \advance\textwidth by-\d@shad%
+ \hsize=\textwidth   \linewidth=\textwidth
+ \setbox\env@box=\vbox\bgroup}%
+\def\endshadowenv{%
+ \egroup
+ \hsize=\hsiz@  \textwidth=\hsiz@  \linewidth=\hsiz@
+ \d@tmpa=\d@envb
+ \c@breite=\d@envb   \divide\c@breite by65536
+ \advance\d@envb by-2\@wholewidth  \advance\d@envb by-\d@shad
+ \c@hsize=\d@envb  \divide\c@hsize by65536%
+ \d@envdp=\dp\env@box  \advance\d@envdp by\ht\env@box%
+ \advance\d@envdp by2\fboxsep%
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\ No newline at end of file
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/yuu-preliminary.tex	Thu Nov 17 04:11:37 2011 +0900
@@ -0,0 +1,161 @@
+\documentclass[twocolumn,twoside,9.5pt]{jarticle}
+\usepackage[dvips]{graphicx}
+\usepackage{picins}
+\usepackage{fancyhdr}
+\pagestyle{fancy}
+\lhead{\parpic{\includegraphics[height=1zw,clip,keepaspectratio]{pic/emblem-bitmap.eps}}琉球大学主催 工学部情報工学科 卒業研究発表会}
+\rhead{}
+\cfoot{}
+
+\setlength{\topmargin}{-1in \addtolength{\topmargin}{15mm}}
+\setlength{\headheight}{0mm}
+\setlength{\headsep}{5mm}
+\setlength{\oddsidemargin}{-1in \addtolength{\oddsidemargin}{11mm}}
+\setlength{\evensidemargin}{-1in \addtolength{\evensidemargin}{21mm}}
+\setlength{\textwidth}{181mm}
+\setlength{\textheight}{261mm}
+\setlength{\footskip}{0mm}
+\pagestyle{empty}
+
+\begin{document}
+\title{VNCを用いた授業用画面共有システムの設計と実装}
+\author{学籍番号:085734D　氏名:谷成雄　指導教員:河野真治}
+\date{}
+\maketitle
+\thispagestyle{fancy}
+
+\section{はじめに}
+普段授業を行う際、プロジェクタを使用して授業を進めることが多い。
+しかし、後ろの席から見えにくいなどの不便を感じることがよくある。
+授業を受けている生徒の手元にパソコンがあるならば、そこに先生の画面を表示して授業をすすめることが出来れば、
+後ろの席に座っていても見えづらいという問題は解消される。
+
+VNCを用いることで、先生の画面を生徒の手元の画面に表示することができる。
+しかし、多人数の生徒が先生のパソコンに同時に接続してしまうと処理性のが落ちて授業の進行に画面がついていかなくなってしまう。
+この問題は一つのコンピュータ多人数が同時につながるときに起こる問題である。
+
+
+そこで、本研究では多人数で画面が共有できるようにクライアントをツリー構造に
+接続させ上から順番にデータを流していくという方法で画面を共有するシステム(TreeVNC)の設計と実装を行う。
+
+
+\section{VNCについて}
+VNC(Virtuual Network Computing)は、RFBプロトコルを用いて遠隔操作を行うリモートデスクトップソフトである。
+VNCはサーバ側とクライアント(ビューア)側に分かれていて、サーバを起動し、クライアントがサーバに接続を行い遠隔操作を可能にする。
+\subsection{RFBプロトコル}
+RFB (remote frame buffer) プロトコルは、GUI操作をリモートアクセスで行うためのプロトコルである。
+画面の描画の更新は画面の差分が発生した部分を矩形毎で送り描画される。
+また、画面の描画データに使われるエンコードが多数用意されており、また独自のエンコードを実装することもできるシンプルなプロトコルである。
+
+
+\section{TreeVNCの方針}
+まず、多人数が参加している授業でVNCを使う場合に起こる問題は、前でも述べたように、
+一つのコンピュータに多人数が繋がり、処理性能が大幅に落ちてしまうところが問題である。
+この問題を解決する為に、クライアント同士を接続させ、画面描画のデータを受け取った
+クライアントが次のクライアントにデータを流すという方法を考えた。
+画面共有を行いたいクライアントが一種のVNCサーバ自体にもなる。
+また、クライアント同士の接続はツリー構造で行うことで管理がしやすくなると考えた。
+クライアント同士の接続の管理はツリーの一番上にいるPC(Top)で行い、
+このTopだけがVNCサーバへ接続を行うようにする。
+
+今回作成したTreeVNCは、上記の実装でツリー状にクライアントを接続していくように実装を行った。
+画面の共有だけを行うように実装した。
+
+
+\section{先行事例}
+Vncサーバへの負荷を軽減する先行事例としてはVnc Reflectorがある。
+
+\subsection{VNC Reflector}
+Vnc Reflectorは、Vncサーバとクライアントとの間に入り、Vncサーバとの通信を代わりに行うプログラムである。
+クライアントはVnc Reflectorへ接続するので、Vncサーバとの接続はVnc Reflectorのみとなり、Vncサーバ側の負荷を減らすことができる。
+
+\section{TreeVNCの実装}
+TreeVNCはTightVNCのjava版のビューアを元に作成を行った。TightVNCはフリーのVNC用ソフトである。
+2011年8月9日現在とC++で作成されたVNC サーバ用とWindows版、それとJava版のビューアが公開されている。
+
+\subsection{Tree structure}
+今回は、ホストに対しクライアントがツリー状に繋がっていくように実装した。ツリーの構成は以下の手順で行う。
+　\begin{enumerate}
+  \item クライアントが接続する際、ホストに接続をしているプロキシ（今後このプロキシのことをTopと記述する）に接続する。
+　\item Topはクライアントにどこに接続すれば良いかを知らせる。（このときに親の番号と自分の番号それからリーダーであるかどうかを一緒に知らせる）
+　\item クライアントはTopから指定されたノードに接続を行う。
+　\end{enumerate}
+
+
+\subsubsection{Treeの再構成}
+今回の実装はクライアントがツリー状に繋がっているので、親ノードが落ちると子ノードも一緒に落ちてしまう。\\
+そこで、ツリーの再構成が必要になる。
+\begin{enumerate}
+  \item 親ノードが落ちた際に、子ノードの中で一番若い番号の子ノードがTopに対して自分の親ノードが落ちたこ\
+とを報告する。（親ノードの番号を知らせる）
+　\item Topは木の番号が一番大きいノードに対して1で報告を受けた親ノードの代わりになるように命令を出す。$\
+\\$
+　\item 親ノードがいなくなった子ノードたちはTopに対して、2で新しく繋がった親ノードのIPアドレスを教えて\\
+もらいそのアドレスに対して接続をおこなう。
+上記の構成の場合、一つのノードが落ちた場合に再接続を行うノードは2分木の場合3ノードである。
+
+図1、図2が再接続の様子である。
+　\end{enumerate}
+
+
+\begin{figure}[!htbp]
+\begin{center}
+\scalebox{0.80}{\includegraphics{pic/reconnection1.eps}}
+\end{center}
+\caption{子ノードの番号が若いほう(3番)がTopに報告してツリーの番号が一番大きいノードに対して報告を行う。\
+(TはTop)}
+\label{figure:splaying}
+\end{figure}
+
+\begin{figure}[!htbp]
+\begin{center}
+\scalebox{0.80}{\includegraphics{pic/reconnection2.eps}}
+\end{center}
+\caption{番号の一番大きいノードが報告を受け指定された場所(1番)に接続を行う。(TはTop)}
+\label{figure:splaying}
+\end{figure}
+
+\section{評価}
+TreeVNCの実装を行い、Vnc Reflectorとの比較を行った。
+テスト環境はBlade サーバ上にVMを48台用意し、Blade サーバの外にTreeVNCとVnc Reflectorを
+起動させたPCを置き、VM48台にアクセスさせて実験を行った。
+
+\subsection{Vnc Reflectorとの比較結果}
+一極集中型のVnc Reflectorは、スループットが20メガから5メガまで落ちた。
+一方TreeVNCの方はスループットを20メガのままをキープすることが確認できた。
+これは、1本の通信帯へ48台がアクセスするVnc Reflectorと違い、クライアント同士が通信を行う為である。
+
+\subsection{TreeVNCの利点と欠点}
+
+クライアント同士がデータのやり取りをするのでVnc サーバへ負荷が少ない。
+
+一極集中型ではないので、多人数で使う際に画面表示のストレスが少ない。
+
+Top自身がビューアを持つこともできる。
+
+みんなの通信速度上がる分、スイッチへの負荷が高い。
+
+
+\section{まとめと今後の課題}
+本研究では、VNCとツリー構造を用いて画面共有システムを開発した。結果スループットを落とすことなく48台で接続を行うことができた。
+
+今回、仮想マシーン上でのテストは行ったが、実際の授業などでのテストは行なっていないので実際の授業で使えるのかのテストを行いたい。
+
+クライアントのUIの部分ができていないので、UIを充実させ使いやすいシステムを設計したい。
+
+\thispagestyle{fancy}
+\begin{thebibliography}{9}
+
+\bibitem{VncReflector}{TightVNC: VNC-Compatible Free Remote Control / Remote Desktop Software}:
+http://vnc-reflector.sourceforge.net/
+\bibitem{TightVNC}{TightVNC: VNC-Compatible Free Remote Control / Remote Desktop Software}:
+http://www.tightvnc.com/
+
+\bibitem{VNC}{Tristan Richardson, Quentin Stafford-fraser, Kenneth R. Wood, Kenneth R. Wood, Andy Hopper}:
+Virtual Network Computing (1998): Virtual Network Computing (1998)
+
+\bibitem{ZLIB}{P. Deutsch, J-L. Gailly }:
+ZLIB Compressed Data Format Specification version 3.3
+
+\end{thebibliography}
+\end{document}