Mercurial > hg > Papers > 2008 > kono-ieice-vld
changeset 0:685b35adf419
Initial revision
| author | kono |
|---|---|
| date | Thu, 06 Mar 2008 19:49:25 +0900 |
| parents | |
| children | 77658ee63839 35b71ac6ce17 |
| files | 0.tex 00.tex 1.tex 10.tex 2.tex 3.tex 4.tex 5.tex 6.tex 7.tex 8.tex 9.tex Makefile abstract-e.tex abstract-e.tex.aux abstract.tex abstract.tex.aux amdhal.dat amdhal.pl author-e.tex.aux fig/Reflection.jpg fig/amdahl.eps fig/amdahl.jpg fig/amdhal.tex fig/cell.eps fig/code.eps fig/code.graffle fig/code.jpg fig/meta.jpg ieice.aux ieice.bbl ieice.blg ieice.dvi ieice.log ieice.pdf ieice.tex ieicej.cls jsss.aux jsss.dvi jsss.log jsss.tex jsss00.tex main.log main.tex manycore.html manycore.ind ohp.tex ohp00.tex presentation/manycore.html presentation/manycore.ind title-e.tex title-e.tex.aux title.aux title.tex trcover.tex verification.mm vld.idea |
| diffstat | 56 files changed, 14699 insertions(+), 0 deletions(-) [+] |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/0.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,10 @@ +\input{1} % Multi core system +\input{2} % Many Core 上のプログラムの特徴 +\input{3} % Many Core 上のプログラムの作り方 +\input{4} % Continuation based C +\input{5} % CbCでのCellのプログラムの流れ +\input{6} % CbCでのCellのプログラムの検証 +\input{7} % 本手法の利点と欠点 +\input{8} % 学生による実際の実装の現状 +\input{9} % CbCを用いた検証手法と他の手法との比較 +\input{10} % まとめ
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/00.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,30 @@ +\documentclass[12pt]{article} %%%%% preamble %%%%% +\usepackage[dvipdfm]{graphicx} + +%\textwidth 16.3cm % the text frame size +%\textheight 23cm +%\oddsidemargin 5mm % for centering +%\evensidemargin 13mm % for centering +%\topmargin 1mm +%\pagestyle{empty} +\pagestyle{plain} +\begin{document} %%%%% the main routine begins here %%%%% +%\baselinestretch 2 +%\flushbottom +%\large % character size +%\setlength{\baselineskip}{1cm} % line spacing +\bibliographystyle{jplain} % for bibliography +\input{title} % title, abstract +\maketitle +\begin{quote} +\input{abstract} +\end{quote} +%%%%\tableofcontents %% contents, lists +%%%%\listoffigures +%%%%\listoftables +%\pagenumbering{arabic} + +\input{0} % sections + +\bibliography{ref} +\end{document}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/1.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,34 @@ + +\section{ Multi core system} + +複数のCPUを載せたコンピュータは昔から使われて来たが、最近の +傾向は、一つのChipに複数のCPUコアを載せたものの登場である。 +従来のマルチプロセッサは同期をサポートしたキャッシュを経由し +メインメモリにアクセスすることが多いが、最近開発されたMulti +Core では、CPU間の通信に特別なポートを用意している。 +例えば、IntelはQuick Pathと言う通信ポートががある。 +これにより、メインメモリへのアクセスによる競合を避けることが +できる。しかし、その分、複雑なプログラミングが必要となる。 + +Cell Broadband Engine\cite{Cell} は、SCEIとIBMによって開発された +PS3ゲーム +機用のCPUであり、2 thread のPPU(PowerPC Unit)と、8個のSPU (Synergetic +Processing Unit) を持つ(図\ref{cellarch})。本研究で用いたPS3Linux (FedoreCore 6) +では、6個のSPUを使うことが出来る。SPUはそれぞれ256kbのローカル +メモリを持ち、バスに負担をかけることなく並列に計算を進めること +が出来る。SPUからメインメモリへは、SPUの機械語から直接アクセス +することは出来ず、CellのMFC(Memory Flow Controller)へDMA +(Direct Memory Access) 命令を送ることで行われる。 +SPUはグラフィックスに適した、4つの固定小数点、浮動小数点を同時に +演算する命令などを持ち、PPUに比べて高速な演算が可能であり、 +ほとんどの演算をSPU上で進めることが推奨されている。 + +\begin{figure}[htb] +\begin{center} +\includegraphics[width=6cm]{fig/cell.eps} +\caption{cellarch} +\end{center} +\label{cellarch} +\end{figure} + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/10.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,20 @@ +\section{ まとめ} + +May Core Architecture のプログラムを作成する手法として、 +シーケンシャルなCの記述を、CbCに分解する手法を提案し実践してみた。 +また、その手法に対するテスト及び検証法について述べた。 + +CbCでは、モデル検査部と実装部分を混在し、同時にプログラムすることが +出来るので、並列実行部分を作成しながら、それをテストするための +モデル検査部を作成していくことが可能である。 + +現在のモデル検査部で、SPIN と Java Path Finder の中間的な性能を +得ることが出来ているが、より高性能なアルゴリズムを実装する必要が +ある。 + +Cerium Rendering Engine はCell上で動作しているが、テスト及び +モデル検査は行っていないので、これらを実装して、実際の効果を +調べることが必要である。 + + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/2.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,144 @@ +\section{ Many Core 上のプログラムの特徴} + +従来の逐次型のプログラムでは、Many Coreの性能を十分に引き出す +ことは出来ない。ここでは、その性能を活かすMany Core プログラム +の特徴について考察する。ここでは、{\tt 定常的な並列度の必要性、 +データ並列、パイプライン実行、 +プログラムとデータの分割、 +同期の問題、 +マルチスレッド、 +デバッグ}に関して考察を行う。 + +\subsection{ 定常的な並列度の必要性} + +並列実行にはAmdahl則\cite{java-conncurrecy}があり、プログラムの並列化率が +低ければ、その性能を活かすことは出来ない。0.8 程度の並列化 +率では、6CPUでも3倍程度の性能向上しか得られない(\ref{amdahl})。 + +\begin{figure}[htb] +\begin{center} +\includegraphics[width=6cm]{fig/amdahl.eps} +\caption{amdahl} +\end{center} +\label{amdahl} +\end{figure} + + +高い並列 +度ではなくとも、恒常的に並列度を維持する必要がある。このため、 + +{\small +\begin{verbatim} + 逐次型のプログラムの一部を並列化する + +\end{verbatim} +} + +という手法では不十分である。LSIなどのハードウェア場合は演算の +対象がもともと多量の演算とデータパスを持つので並列計算の効果を +定常的に得られることが多いが、C等で記述されたプログラムでは、 +for 文や配列のアクセスなどに並列性が隠されてしまい、それを引き出す +ことが難しい。 + +プログラムの中の並列度は、主に二つの形で取り出すことが出来る。 +一つは、配列や木の中の個々の要素に対して並列に実行する + +{\small +\begin{verbatim} + データ並列 + +\end{verbatim} +} + +である。もう一つは、複数の逐次処理の隣同士を重ねて実行する + +{\small +\begin{verbatim} + パイプライン処理 + +\end{verbatim} +} + +である。この二つを同時に用いることで定常的な並列度を維持することが +可能となることがある。パイプライン処理は、プログラム中で階層的に +使われることが多い。 + +\subsection{ プログラムとデータの分割} + +データ並列とパイプライン処理を可能にするためには、プログラムと +データの適切な分割を行う必要がある。for文、あるいは、木をだとって +処理する個々のステートメントがプログラムの分割の対象となる。 +データは自明に分割できるわけではなく、分割できるデータ構造を採用し、 +必要ならばコピーを行う。 + +分割されたデータは、メモリ上に置かれるが、Cellの場合はSPUのローカル +メモリ上に置かれることになる。共有メモリベースの場合でもキャッシュを +考慮した配置をする必要がある。具体的には、データのアライメントをそろ +える必要がある。メインメモリ上で計算を行う逐次型プログラムと異なり、 +コピーのコストを払ってでもデータを分割し、複数のCPUで独立に処理する +必要がある。特に、DMA中心のアクセスになるCellの場合は、 +コピーしやすいように、数Kbyte毎の配列にする方が良い。 + +Cellの場合はさらにコードもローカルメモリ上に置かれるために、 +コードをロードする仕組みも必要になる。 + +\subsection{ 同期の問題} + +ここで言う同期は、複数のCPUがデータの待ち合わせ、または、整合性を +維持するために、他のCPUとの待ち合わせを行うことである。従来の +マルチCPUでは、並列度が低いために同期は希であり、キャッシュ上の +Spin lock を用いることが多かった。これは、メモリの特定の場所を +test and set 等の特殊な命令で繰り返しアクセスして待ち合わせる手法 +である。Unix OSのkernel、POSIX Thread など同期機構の実装に使われている。 + +Many Core では、待ち合わせを行うと並列度が下がってしまうので、 +同期自体を減らす必要がある。そのためには、各CPUが独立に(Lock無しに) +データにアクセス出来るようにデータを分割すれば良い。Cell では、 +SPUがローカルメモリを持っているので、そちらにコピーすることになる。 +しかし、SPUはメインメモリからデータを取得する必要があるので、その +取得の際には同期を取る必要がある。 +Cellでは、SPUとPPU間の同期にはMail box というFIFOメッセージ +キューが用意されていて、readch,writech という命令でSPUから +アクセスする。Spin lock と違って、メッセージ交換なので待ち合わせを +避けることが可能である。 + +共有メモリベースのシステムの場合でも、同じ場所をアクセスする場合は +キャッシュの競合が生じるので、コピーなどを用いて領域の分割を +行う必要がある。Thread local などを用いる場合もある。 + +複数のCPUが出力する結果を一つのキューに挿入するようなことをすると、 +挿入時に必ず同期が必要になるので同期のコストが高い。 + +\subsection{ マルチスレッド} + +従来の共有メモリ型のマルチCPUでは、POSIX Thread を用いて並列実行 +を実現することが多い。特にHyper Thread では、複数の命令ストリーム +を使って、メモリアクセス時等のの命令実行パイプラインのストールを +スレッドを切替えて隠すことが出来る。しかし、Many Core の場合に、 +個々のCoreに複数のThreadを割り当てるとワーキングセット(Threadが +使用するデータ)の大きさが大きくなりキャッシュやローカルメモリに +入らなくなる場合がある。 + +スレッド(Hyper Thread)は本来、I/O待ちやメインメモリアクセス等に対して +有効であり、ほとんどのデータがキャッシュやローカルメモリにあると +考えられるMany Coreには向いていない。個々のタスクを実行するCPU +上で複数のスレッドを使用するメリットはほとんどないと思われる。 +一方で、個々のCPUは細分化されたタスクを十分に持っていなければ +恒常的な並列度を維持できない。 + +一方で、同期機構で待ち合わせを行う場合に、Spin lockを避けるとすれば、 +条件付変数などのスレッドのタスクの待ち合わせ機構が必要となる。 + +Many Core の台数にも寄るが、実行するタスクの管理を行うマネージャー +を複数スレッドで構成し、そのうちの一つが、ポーリングベースで +複数のCoreに対する待ち合わせを行うようにするのが良いと思われる。 +Cellでは、SPURS\cite{spurs}という仕組みが提案されている。 + +\subsection{ デバッグ} + +複数のCoreを走らせた状態でのデバッグは難しい。並列プログラムの +特徴として、実行が非決定的(同じ状態で実行しても結果が異なる)こと +があり、バグの状態を再現することが難しいことがある。また、個々の +Core上のデータを調べる必要があり、デバッガが複数のCoreを取り扱える +ことが必須である。 +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/3.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,47 @@ +\section{ Many Core 上のプログラムの作り方} + +本論文では、本研究室で作成したPS3上のレンダリングエンジンであるCerium +Rendering Engine を例題として使う。詳細は別な論文\cite{kono08b} +に譲り、ここでは簡単に記述する。 + +Cerium は、Scene Graph (3Dオブジェクトを木構造にしたもの)をフレームバッファ +上にSPUを用いて描画するRendering Engine であり、教育用としてシンプルな +構成を持っている。Cerium は、 + +{\small +\begin{verbatim} + 1. Scene GraphのPolygonの座標から表示する + 2. 座標の計算を行い PolygonPack を生成する + 3. PolygonPack から、同じY座標を持つ線分の集合SpanPackを生成する + 4. SpanPackを(Texture を読込ながら)Z bufferを用いて描画する。 + +\end{verbatim} +} + +という4つのタスクを持つ。並列実行は、Scene Graphの木、PolygonPack, +SpanPack に対してデータ並列実行を行う。さらに、この4つが表示画面毎に +パイプライン的に実行される。 + +これらのタスクは、SPUで実行するために小さなセグメントに分割される +必要がある。分割されたタスクを、PPUまたはSPUで実行するのは +Cerium task manager である。Task manager はタスク依存を解決する +機能を持っていて、タスク依存が満たされたものをアクティブキューに +入れ、SPUを起動する。SPUはアクティブキューから、処理するコードと +データを取得し自律的に実行を行う。 + +Cerium Rendering engine を作るには、以下の手順に +実装とテストを行う。 + +{\small +\begin{verbatim} + 1. 普通のCで実装した Rendering algorithm + 2. データ構造(PolygonPack, SpanPack)を導入したもの + 3. コードをタスクに分割し、FIFOキューでシーケンシャルに実行する + 4. タスクをSPUに割り当て並列実行する + +\end{verbatim} +} + +これにより、Algorithmの正しさを確認した上で並列実行に移行することが出来る。 + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/4.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,199 @@ +\section{ Continuation based C} + +CbC (Continuation based C)は、Cからサブルーチンやループ構造 +を除いたCの下位言語であり、ハードウェアとソフトウェア、特に +組込みシステムの記述言語として本研究室で提案している言語で +ある。 + +Cの関数の代わりに、 +たコード・ +セグメントという単位を持つ。コードセグメントには、入口に相当する +Input interface と、出口に相当するParameterized goto 文が存在する。 + +\begin{figure}[htb] +\begin{center} +\includegraphics[width=6cm]{fig/code.eps} +\end{center} +\label{fig000} +\end{figure} + + +以下は簡単なCbCのプログラムである。 + +{\small +\begin{verbatim} + code fact(int n,int result, + code print()){ + if(n>0){ + result *= n; + n--; + goto fact(n,result,print); + } else + goto (*print)(result); + } +\end{verbatim} +} + +間接gotoと、直接gotoが、プログラムの単位の結び付きをボトムアップに +規定して、自然なグループを構成する。 + +CbCの継続は、Schemeなどの継続とは異なり環境(関数の呼び出し履歴)を持たない。 +コードセグメントは、関数呼び出しではないので環境を持つ必要がない。 + +Cにコードセグメントと引数つきgoto文を付加したCwCは、Cのスーパセット +であり、 +コードセグメント内から通常のCの関数を呼び出すことも可能ある。また、 +通常の関数からコードセグメントへgotoしたり、コードセグメントから、 +呼び出された関数へ値を戻すことも出来る。 + +コードセグメントは状態遷移記述と対応しているので、ハードウェア記述 +とも相性が良い。 + +CbCコンパイラは、micro-C base のものと GCC base, TCC base のものが +動いており、実用的に使うことができる。{\tt sourceforge.jp} 上\cite{cbc-sourceforge}で公開されている。 + + +\subsection{ CからCbCへの変換} + +Cのスタックを明示的に構成することによりCのプログラムをCbCに +変換することが可能である。 + +{\small +\begin{verbatim} + j = g(i+3); + +\end{verbatim} +} + +のようなCの関数呼び出しは、 \verb+struct f_g0_save+ などの +明示的なスタックの中身を表す構造体を用いて、 +{\small +\begin{verbatim} + struct f_g0_interface *c = + (struct f_g0_save *)(sp -= + sizeof(struct f_g0_save)); + c = sp; + c->ret = f_g1; + goto g(i+3,sp); +\end{verbatim} +} + +のような形で、明示的なスタック操作に変換される。これは変換の +一例であり、他の方法、例えばリンクトリストなどを用いても良い。 +\verb+f_g1+ は、関数呼び出しの後の継続であり、\verb+g+ では、 +{\small +\begin{verbatim} + code g(int i,stack sp) { + goto (* ((struct + f_g0_save *)sp)->ret) + (i+4,sp); + } +\end{verbatim} +} + +のように間接的に呼び出される。スタックの中は、継続と +中間変数などを格納する構造体である。スタックそのものは、 +これらの構造体を格納するメモリである。 + +これらの変換は自動的に行うことが出来き、試作変換系を実装した +報告\cite{kono01g}もあるが、実用レベルの変換系はまだ存在しない。 +現在は変換と、その後の最適化はは手動で行う必要がある。 + +\subsection{ CbCでの並列実行記述} + +並列実行記述ではタスクの生成と同期機構の記述が問題になる。Verilog +やVHDLなどでも並列タスクの記述があり、POSIX Thread ではライブラリ +コールとして\verb+pthread_create+や\verb+pthread_mutex_lock+などが +ある。 + +これらの動作記述は、マニュアルやFormal Description で示されている。 +例えば、以下のような記述である。 +{\tt +The pthread\_mutex\_lock() function locks mutex. If the mutex +is already locked, the calling thread will block until the +mutex becomes available. +} + +このようは記述は曖昧で誤解を招きやすい。しかし、同期機構の検証 +では、これらの動作の正確な意味を知る必要がある。 + +CbC ではad-hoc な並列記述プリミティブは必要ではなく、自分自身で +並列実行を記述することが可能である。これは、コードセグメントには +隠された情報が存在しないので、実行に必要な情報をすべてInput +interface から取得できるからである。 + +実行キューを作成しCbC自体でSchedulerを記述することにより、 +並列実行を記述する。この場合の並列実行単位はコードセグメン +トとなる。goto 文を規則的にscheduler へのgoto文に書き換える +ことにより、並列実行を記述することが出来る。 + +以下は、CbCで記述した Dining Philosopher の状態の一部である。 +{\small +\begin{verbatim} + code pickup_rfork(PhilsPtr self) + { + if (self->right_fork->owner == NULL) { + self->right_fork->owner = self; + goto eating(self); + } else { + goto hungry2(self); + } + } + +\end{verbatim} +} + +これを並列実行するためには、 + +{\small +\begin{verbatim} + code pickup_rfork(PhilsPtr self, TaskPtr current_task) + { + if (self->right_fork->owner == NULL) { + self->right_fork->owner = self; + self->next = eating; + goto scheduler(self, current_task); + } else { + self->next = hungry2; + goto scheduler(self, current_task); + } + } + +\end{verbatim} +} + +という形に記述を変える。Scheduler の実装は例えば、FIFOであれば、 + +{\small +\begin{verbatim} + code scheduler(PhilsPtr self, TaskPtr list) + { + TaskPtr t = list; + TaskPtr e; + list = list->next; + goto list->phils->next(list->phils,list); + } + +\end{verbatim} +} + +という形になる。このように自分自身で並列実行スケジューラを +記述できることがCbCの特徴である。同期機構であるが、ここでは +\verb+right_fork+の排他制御は、 +コードセグメントが同時に実行されることはないので、自動的に +保証されている。条件付変数のような待ち合わせを実現したい場合は、 +TaskPtr への操作として実現すれば良い。 + +\subsection{ CbCでの並列実行の実装} + +FIFO scheduler を例えば Cell のSPUのactive task queue への +挿入とし、active task queue を各SPUが自律的に取得するように +する(SPU scheduler)と、実際にCbCのコードセグメントを並列実 +行することが出来る。 + +FIFO schedulerと実際の並列実行の同期機構が一致するようにする +のは、一般的には自明ではない。同期機構をコードセグメントで記述 +して、SPU scheduler によって実現しても良いし、コードセグメント +内部で、例えば、\verb+pthread_mutex_lock+を呼び出しても良い。 + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/5.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,59 @@ +\section{ CbCでのCellのプログラムの流れ} + +CbCを用いて、Many Core Architecture のプログラムを作成する +流れは以下のようになる。 + +{\small +\begin{verbatim} + 1. C によりアルゴリズムをシーケンシャルに記述する + 2. データを並列用に分割した構造に変更する + 3. Cの記述をCbCの記述に変換する(必要な部分のみ。手動) + 4. コードセグメントを並列実行用に分割する + 5. FIFOスケジューラにより動作を確認する + 6. SPUスケジューラによりCell上での動作を確認する + +\end{verbatim} +} + +これらの各過程すべてでエラーが入る可能性がある。また、 +論理的なエラーだけなく、仕様に沿った十分な性能が出るか +どうかも検証する必要がある。 + +1 の段階は通常のCのプログラミングであり、この部分がちゃんと +動くことが必須である。この段階では、入力に対して出力が +一意に決まる状況であり、テストは容易である。バグも +実行トレースの二分法により容易に行うことが出来る。 + +4段階まではプログラム変換の問題であり、一つ前の段階と +同じ結果を得られるかどうか検証する必要がある。 + +5 段階以前はアーキテクチャに依存しないので、ターゲット +が開発途中の段階でも記述することが可能である。しかし、 +5段階では、FIFOスケジューラの替わりに、Randomスケジューラ +などを使うことができ、並列実行特有の非決定的な実行が +導入される。 + +非決定的な実行は、クロックベースのハードウェアでは +入力の任意性から生じることが多い。ハードウェアでも +複数のタスクを使用したり、外界と相互作用する場合は +非決定的な実行が現れる。 + +段階5では、これらの非決定的な実行でも4段階までと +同じ仕様を満たすことを検証する必要がある。これは、 +逐次型のプログラムでは出て来ない問題である。 + +段階6では、段階5まできちんと動いていれば、問題なく +動作すると期待される。しかし、FIFOスケジューラと +SPUスケジューラでは、同期機構の実現が異なることが +ある。これは、並列実行と同期機構のの粒度と意味論 +が異なるために起きると考えられる。 + +ここで、段階1が仕様であり段階5が実装であると +考えることもできる。実際のプログラムとは別に、 +実行時に満たして欲しい仕様の記述がある場合もある。 +これらの記述は、例えば、「計算がいつか終る」 +等の時相論理的な記述になる。時相論理としては、 +LTTL\cite{wolper82}, CTL*\cite{synBTTL}, ITL\cite{kono93b} +などを使うことができる。 + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/6.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,93 @@ +\section{ CbCでのCellのプログラムの検証} + +CbCでの検証は、プログラム作成の各段階で行われる。 +CbC では実行要素はコードセグメントであり、その +Input interface の値により動作は一意に決まる。 +従って、検証はコードセグメント単位良い。コードセグメント +内部の正当性はテストあるいは証明こ行われるべきである。 + +\subsection{ コードセグメントの入出力テスト} + +これは、通常のプログラムのテスト手法と同じであり、 +FIFOスケジューラを導入する前の段階では、入力と +出力に対応するテストを行う。 + +コードセグメント毎にテストデータを作成するべきで +あるが、結果の正しさを確認するプログラムを書く必要とする +場合もある。 + +データ及びコードの分割が終った段階では、データを +Multi Core CPUがアクセスできるようにコピーする +コードが入ることがある。このコピーは、FIFOスケジューラ +レベルでは、ポインタ渡しに避けても良い。しかし、 +コピーコード自体にエラーが出る場合も多い。例えば、 +Cellでは、MFCによるDMAは64bit alignmentが必要であり、 +これが満たされないと例外が発生してしまう。 + + +\subsection{ FIFOスケジューラレベルでのテスト} + +FIFOスケジューラレベルのテストでは、非決定性が +導入される。Cell では組み込まれたSPUは、すべて +決定的に動作するが、データによってSPUの演算の +終了結果は異なり、結果的に非決定性が生じる。 + +これらの非決定性を、網羅的に調べることも可能であり、 +モデル検査と呼ばれる。 + +CbCでは、状態を記録しながら、すべての可能な非決定的実行を行 +うスケジューラを実装することが可能である。 + +{\small +\begin{verbatim} + メモリ状態をデータベースから調べる + すでにあれば、一つ前の状態に戻して他の実行を探す + なければ、一段深い実行に進み状態を探す + +\end{verbatim} +} + +という形である。実際の実装は以下のようになっている。 + +{\small +\begin{verbatim} + code tableau(TaskPtr list) + { + if (lookup_StateDB(&st, &state_db, &out)) { + // found in the state database + printf("found %d\n",count); + while(!(list = next_task_iterator(task_iter))) { + // no more branch, go back to the previous one + TaskIteratorPtr prev_iter = task_iter->prev; + if (!prev_iter) { + printf("All done count %d\n",count); + .... + } + printf("no more branch %d\n",count); + depth--; + free_task_iterator(task_iter); + task_iter = prev_iter; + } + // return to previous state + // here we assume task list is fixed, we don't have to + // recover task list itself + restore_memory(task_iter->state->memory); + printf("restore list %x next %x\n",(int)list,(int)(list->next)); + } else { + // one step further + depth++; + task_iter = create_task_iterator(list,out,task_iter); + } + goto list->phils->next(list->phils,list); + } + +\end{verbatim} +} + +この検証系は、SPUを使った実機上で動かすには、SPU内部のメモリを記録 +するなどの工夫が必要となる。また、探索空間が膨大になる場合もある。 + +探索空間を小さくするには、並列実行の粒度を大きくしたり、メモリの +状態を抽象化したりする方法が考えられる。これらの手法は、CbC自身で +記述することが可能である。 +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/7.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,42 @@ +\section{ 本手法の利点と欠点} + +CbCという特殊な処理系を使うことになるので、ソースの変更が +必要となる。現状では、C++には対応していない。 + +コードセグメントのテストをSingle core上とMulti core 上の +両方でテスト出来るので、Multi coreになれていなくても、 +動作のテストが容易である。また、Multi core になれるための +準備、教育的ツールとして使うことも出来る。アルゴリズム +の正しさを並列実行とは別にテスト出来るのが利点である。 + +CellはヘテロなMulti Coreであり、 +SPU では、その性能を活かすためには、特殊なアセンブラ命令、 +例えば4つの浮動小数点の値の同時演算などを使用する必要がある。 +これらは、gcc の拡張あるいはasmステートメントなどで使用する +ことができるが、他のアーキテクチャ上では動作しない。 +従って、同じ機能を持つコードセグメントで代用してテスト +することになる。異なるアーキテクチャでの異なるコードセグメント +の同等性を直接テストすることは出来ない。 + +Many Core 向けのデータ分割、コード分割は自動ではないので、 +試行錯誤することになる。必要な性能が出るかどうかは、 +分割のために生じるコピーのコストなどの要素が関係し、 +アーキテクチャに依存するのでSingle Core上のテストで +見積もることは難しい。 + +データ分割、コード分割が手動なので間違いが入りやすい。 +FIFOスケジューラレベルで、Single Coreと同等な動作を +する場合は、このようなエラーを見つけるのは容易である。 + +しかし、非決定的な動作をする場合は、自明な動作比較をする +ことは出来ず、モデル検査などのコストの高い方法を使う +必要が出て来る。コードセグメントレベルのモデル検査は +実機上の同期動作との差があるので、正確ではない。 + +モデル検査のコストが重い場合は、スケジューラを挟む +部分を大まかにして状態数を減らす手法が使える。正確さは +落ちるが、高速に検査することが出来る。 + +スケジューラを挟む部分の変更は手動であり、マクロあるいは +スクリプトで生成する必要がある。 +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/8.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,28 @@ +\section{ 学生による実際の実装の現状} + +本手法を、PS3 Linux 上のSPUを用いた 3D Rendering Engine +の作成に適用した。詳細は別な論文で述べるので、ここでは +学生の反応について報告する。 + +Single Core でプログラムを動作させることは容易である。これは、 +従来のプログラムと差がないからであり、学生にとっては入りやすい。 +データとコードの分割を自力で求めるのは、並列処理の経験がない +学生には難しい。なんらかのひな型か指示が必要である。 + +FIFOスケジューラから、SPUスケジューラを実装する時点で、 +なるべく早く動かそうとするために ad-hoc なコードが入りやすい。 +特に、一旦、SPUスケジューラに移ってしまうと、元の +ソースを +FIFOスケジューラ/Single Core 上で動かすことを考慮せずに +変更を加えてしまう。そのような場合は、この方法のメリット +である、並列実装部分のバグと、アルゴリズム/データ分割のバグ +を分離することが出来なくなってしまう。しかし、常に +両方で動作させるように変更するのは、手間がかかることも +確かである。 + +データやコードの分割において、Cellでは6個のSPUを使うことが +出来るが、必ず6個に分割することを仮定してプログラムを書いて +しまうという問題も見られた。分割したコードにどれだけの +Coreを割り振るかは、後で調整する必要があるので、必ず +最大値を使うとは限らない。 +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/9.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,83 @@ +\section{ CbCを用いた検証手法と他の手法との比較} + +コードセグメントを使わずに、Cの関数による分割を行って +も良い。この場合は、分割された関数を順々に呼び出す +マネージャを記述する必要がある。CbCのようにモデル検査を +自分で記述するようなことは出来ないが、分割に関しては +同等である。 + +モデル検査では SPIN\cite{holzmann97model}が有名だが、SPINでは +問題を Promela という仕様記述言語で記述する必要があり、 +Promela を直接実装に使うことは出来ない。 + +実装言語を直接モデル検査するシステムとしては、 +Java PathFinder\cite{havelund98model}、 +CBMC\cite{groce04understanding}などが知られている。これらはオブジェクト指向 +記述に対しても適用できるという利点がある。 +これらで並列処理を記述する場合は、一般的にはThread の +機能を用いることになる。 + +CbCでは、スケジューラ及びモデル検査器を自分で記述出来るので、 +検査する並列性や抽象度を自分で制御できると言う利点がある。 +現状では、そういう可能性があるというだけで実装は行っていない。 + +現在用いているCbC用のモデル検査器は比較的単純に作られており、 +大きなプログラムの検証をするのには向かない。2.8GHz Pentinum 4 +では、Dining Philosphers の例題に対して以下のような性能が +出ている。 + +\begin{table}[htbp] +\begin{center} +\caption{Dining Philosophers ProblemのCbCによるモデル検査} +\label{tab:dpp_tableau} +\begin{tabular}{|r|r|r|} \hline +プロセス数 & 状態数 & 実行時間(秒) \\ \hline +3 & 1,340 & 0.01 \\ \hline +4 & 6,115 & 0.08 \\ \hline +5 & 38,984 & 0.66 \\ \hline +6 & 159,299 & 3.79 \\ \hline +7 & 845,529 & 27.59 \\ \hline +8 & 3915,727 & 199.80 \\ \hline +\end{tabular} +\end{center} +\end{table} + +\begin{table}[htbp] +\begin{center} +\caption{SPINによるDining Philosophers Problemのモデル検査} +\label{tab:spin_dpp} +\begin{tabular}{|r|r|r|} \hline +プロセス数 & 状態数 & 実行時間(秒) \\ \hline +5 & 94 & 0.008 \\ \hline +6 & 212 & 0.01 \\ \hline +7 & 494 & 0.03 \\ \hline +8 & 1,172 & 0.04 \\ \hline +\end{tabular} +\end{center} +\end{table} + +\begin{table}[htbp] +\begin{center} +\caption{JPFによるDining Philosophers Problemのモデル検査} +\label{tab:jpf_dpp} +\begin{tabular}{|r|r|r|} \hline +プロセス数 & 状態数 & 実行時間(秒) \\ \hline +5 & 不明 & 3.98 \\ \hline +6 & 不明 & 7.33 \\ \hline +7 & 不明 & 26.29 \\ \hline +8 & 不明 & 123.16 \\ \hline +\end{tabular} +\end{center} +\end{table} + +Java Path Finder とSPINの丁度間の性能となっているが、プロセス数が +多くなると、Java Path Finder よりも性能が落ちる。これは、モデル +検査のための状態格納のアルゴリズムに問題があると考えている。 +SPINの性能が良いのは、元々の状態記述の抽象度が高く状態数そのものが +小さいからであると考えられる。 + +CbCの記述を変更して、スケジューラを呼び出す頻度を下げると、 +状態するが下がりSPINに近い性能を得ることも可能である。 +Java Path Finder では、そのような変更を行うことは原理的に +出来ない。 +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Makefile Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,129 @@ +DEPENDENCY = manycore.ind fig/cell.eps fig/amdahl.eps fig/code.eps + +DEPENDOHP = ohp.tex fig/cell.eps fig/amdahl.eps fig/code.eps + +PAPER = manycore.ind + + +PRINTER = ab +OHP = ohp +MAIN = main +COVER = trcover +LATEX = platex +SLITEX = jslitex +BIBTEX = jbibtex +AWK = awk +SED = sed +DVI2PS = dvi2ps +R = +PRINTER = + +.SUFFIXES: .c .d .tokio .x .xfig .fig .tex .dvi .print .lw .next .ps .gs .xdvi + +.d.tex: + tgrind -F -ldb $< >$@ +.c.tex: + tgrind -F -lC $< >$@ +.tokio.tex: + tgrind -F -ltokio $< >$@ +.fig.tex: + f2tpic $< >$@ +.xfig.tex: + f2tpic $< >$@ +.fig.ps: + f2ps1 $< >$@ +.x.tex: + x2tpic $< + -rm -f $*.pic +.tex.dvi: + jlatex $< +.dvi.print: + $(DVI2PS) $(R) $< | lpr -P$(PRINTER) +# lpr $(PRINTER) -d $< +.dvi.lw: + $(DVI2PS) $(R) $< | lpr -P$(PRINTER) +.dvi.next: + dviNeXT $< +.dvi.xdvi: + (exec xdvi $< & ) +.dvi.ps: + -$(DVI2PS) $(R) $< > $*.ps +.ps.gs: + gs $*.ps + +all: + -rm -f $(MAIN).dvi + make $(MAIN).dvi + +print: $(MAIN).print +lw: $(MAIN).lw +next: $(MAIN).next +gs: $(MAIN).gs +$(MAIN).gs : $(MAIN).ps +$(MAIN).ps : $(MAIN).dvi +$(OHP).gs : $(OHP).ps +$(OHP).ps : $(OHP).dvi +xdvi: $(MAIN).xdvi +dvips: $(MAIN).dvi + dvips $(MAIN).dvi -o $(MAIN).ps + +$(MAIN).dvi: 1.tex + $(LATEX) $(MAIN) + +jsss.dvi: jsss.tex 1.tex + $(LATEX) jsss.tex + +wc: + $(SED) -e '/\\special{/d' $(PAPER) | delatex | wc +uu: + tar cBf - $(MAIN).[tab]* [0-9]*.tex $(DEPENDENCY) \ + title.tex abstract.tex ohp.tex \ + Makefile | gzip | uuencode $(PAPER).tar.gz > uu + + +bbl: $(MAIN).bbl + +$(MAIN).bbl: ref.bib 1.tex # $(MAIN).aux + -$(BIBTEX) $(MAIN) + +$(MAIN).aux: $(MAIN).tex 1.tex + $(LATEX) $(MAIN) + +1.tex: $(PAPER) $(DEPENDENCY) + -o2tex $(PAPER) + +# OHP with slitex +$(OHP): $(OHP).dvi +$(OHP).dvi : $(OHP).tex $(DEPENDOHP) + $(SLITEX) $(OHP) + +ohpprint: $(OHP).dvi + lpr -c $(OHP).dvi +ohplw: $(OHP).dvi + $(DVI2PS) $(R) -o landscape $(OHP).dvi | lpr -P$(PRINTER) +ohpnext: $(OHP).dvi + $(DVI2PS) -h -i /usr/lib/tex/ps/tex-j.next -o landscape $(OHP).dvi |\ + lpr -Pcb +ohpgs: $(OHP).gs + +cover: $(COVER).dvi +$(COVER): $(COVER).dvi +$(COVER).dvi : $(PAPER) +coverprint: $(COVER).print +coverlw: $(COVER).lw +covernext: $(COVER).next +covergs: $(COVER).gs + +clean: + -rm -f $(MAIN).ps *.dvi *.log *.blg \ + *~ \#* ?.tex *.toc *.lof *.lot xfig/*.tex + +tgrindfig.tex: + ln -s "$$HOME"/paper/tgrindfig.tex . +# for MSDOS +tgrindfi.tex: + ln -s "$$HOME"/paper/tgrindfig.tex tgrindfi.tex +ref.bib: + ln -s "$$HOME"/paper/ref.bib . + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/abstract-e.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,11 @@ + +CPU performance is achieved in Many Core Architecture rather than +high clock speed recently. The complicated nature of this +architecture makes reliable program difficult. We present a +subset of C Programming Language with continuation: Continuation based C +to make a program for Many Core Architecture. We use this method +for a rendering engine ``Cerium'' for Cell Broadband Engine. + + + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/abstract-e.tex.aux Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,20 @@ +\relax +\@setckpt{abstract-e.tex}{ +\setcounter{page}{1} +\setcounter{equation}{0} +\setcounter{enumi}{0} +\setcounter{enumii}{0} +\setcounter{enumiii}{0} +\setcounter{enumiv}{0} +\setcounter{footnote}{0} +\setcounter{mpfootnote}{0} +\setcounter{@paper}{1} +\setcounter{part}{0} +\setcounter{section}{0} +\setcounter{subsection}{0} +\setcounter{subsubsection}{0} +\setcounter{paragraph}{0} +\setcounter{subparagraph}{0} +\setcounter{figure}{0} +\setcounter{table}{0} +}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/abstract.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,12 @@ +\mbox{} + +近年、CPUの性能向上は、クロックサイクルをあげることよりも、 +複数のCPUコア(Many Core Architecture)を導入することにより +得られるようになって来てい +る。しかし、Many Core Architecture のプログラムは複雑であり、 +その信頼性を確保することは難しい。本論文では、本研究室で開 +発した Cのサブセット であるContination based C を用いて、Many +Core Architecture のプログラミングと、その検証を行う手法に +ついて考察する。ここでは例題として、Cell Broadband Engine +を用いたレンダリングエンジンを用いる。 +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/abstract.tex.aux Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,20 @@ +\relax +\@setckpt{abstract.tex}{ +\setcounter{page}{1} +\setcounter{equation}{0} +\setcounter{enumi}{0} +\setcounter{enumii}{0} +\setcounter{enumiii}{0} +\setcounter{enumiv}{0} +\setcounter{footnote}{0} +\setcounter{mpfootnote}{0} +\setcounter{@paper}{1} +\setcounter{part}{0} +\setcounter{section}{0} +\setcounter{subsection}{0} +\setcounter{subsubsection}{0} +\setcounter{paragraph}{0} +\setcounter{subparagraph}{0} +\setcounter{figure}{0} +\setcounter{table}{0} +}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/amdhal.dat Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,10 @@ +0.5 1.71428571428571 +0.55 1.84615384615385 +0.6 2 +0.65 2.18181818181818 +0.7 2.4 +0.75 2.66666666666667 +0.8 3 +0.85 3.42857142857143 +0.9 4.00000000000001 +0.95 4.80000000000001
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/amdhal.pl Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,8 @@ +#!/usr/bin/perl +# 並列効果（α）＝ 1 / (( 1 - p) + p / Np) +# p ： 並列化率（0〜1.0） +# Np ： プロセッサ数 + +for($p = 0.5; $p<1;$p+=0.05) { + print "$p ",1/((1-$p)+ $p/6),"\n"; +}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/author-e.tex.aux Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,20 @@ +\relax +\@setckpt{author-e.tex}{ +\setcounter{page}{1} +\setcounter{equation}{0} +\setcounter{enumi}{0} +\setcounter{enumii}{0} +\setcounter{enumiii}{0} +\setcounter{enumiv}{0} +\setcounter{footnote}{0} +\setcounter{mpfootnote}{0} +\setcounter{@paper}{1} +\setcounter{part}{0} +\setcounter{section}{0} +\setcounter{subsection}{0} +\setcounter{subsubsection}{0} +\setcounter{paragraph}{0} +\setcounter{subparagraph}{0} +\setcounter{figure}{0} +\setcounter{table}{0} +}
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360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L + 0 12 M 12 0 L stroke} +>> matrix makepattern +/Pat4 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L + 0 -4 M 12 8 L stroke} +>> matrix makepattern +/Pat5 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L + 0 12 M 8 -4 L 4 12 M 10 0 L stroke} +>> matrix makepattern +/Pat6 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L + 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} +>> matrix makepattern +/Pat7 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L + 12 0 M -4 8 L 12 4 M 0 10 L stroke} +>> matrix makepattern +/Pat8 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L + -4 0 M 12 8 L -4 4 M 8 10 L stroke} +>> matrix makepattern +/Pat9 exch def +/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def +/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def +/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def +/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +50 50 translate +0.100 0.100 scale +0 setgray +newpath +(Helvetica) findfont 140 scalefont setfont +/Helvetica findfont 140 scalefont setfont +1.000 UL +LTb +574 280 M +63 0 V +4165 0 R +-63 0 V +490 280 M +( 1.5) Rshow +1.000 UL +LTb +574 525 M +63 0 V +4165 0 R +-63 0 V +490 525 M +( 2) Rshow +1.000 UL +LTb +574 769 M +63 0 V +4165 0 R +-63 0 V +490 769 M +( 2.5) Rshow +1.000 UL +LTb +574 1014 M +63 0 V +4165 0 R +-63 0 V +-4249 0 R +( 3) Rshow +1.000 UL +LTb +574 1258 M +63 0 V +4165 0 R +-63 0 V +-4249 0 R +( 3.5) Rshow +1.000 UL +LTb +574 1503 M +63 0 V +4165 0 R +-63 0 V +-4249 0 R +( 4) Rshow +1.000 UL +LTb +574 1747 M +63 0 V +4165 0 R +-63 0 V +-4249 0 R +( 4.5) Rshow +1.000 UL +LTb +574 1992 M +63 0 V +4165 0 R +-63 0 V +-4249 0 R +( 5) Rshow +1.000 UL +LTb +574 280 M +0 63 V +0 1649 R +0 -63 V +574 140 M +( 0.5) Cshow +1.000 UL +LTb +1044 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.55) Cshow +1.000 UL +LTb +1514 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.6) Cshow +1.000 UL +LTb +1983 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.65) Cshow +1.000 UL +LTb +2453 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.7) Cshow +1.000 UL +LTb +2923 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.75) Cshow +1.000 UL +LTb +3393 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.8) Cshow +1.000 UL +LTb +3862 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.85) Cshow +1.000 UL +LTb +4332 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.9) Cshow +1.000 UL +LTb +4802 280 M +0 63 V +0 1649 R +0 -63 V +0 -1789 R +( 0.95) Cshow +1.000 UL +LTb +1.000 UL +LTb +574 1992 N +574 280 L +4228 0 V +0 1712 V +-4228 0 V +Z stroke +1.000 UP +1.000 UL +LTb +1.000 UP +1.000 UL +LT0 +/Helvetica findfont 140 scalefont setfont +LTb +4151 1859 M +("amdhal.dat") Rshow +LT0 +574 385 Pls +1044 449 Pls +1514 525 Pls +1983 614 Pls +2453 720 Pls +2923 851 Pls +3393 1014 Pls +3862 1223 Pls +4332 1503 Pls +4802 1894 Pls +4434 1859 Pls +1.000 UL +LTb +574 1992 N +574 280 L +4228 0 V +0 1712 V +-4228 0 V +Z stroke +1.000 UP +1.000 UL +LTb +stroke +grestore +end +showpage +%%Trailer +%%DocumentFonts: Helvetica +%%Pages: 1
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/fig/amdhal.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,105 @@ +% GNUPLOT: LaTeX picture with Postscript +\begingroup + \makeatletter + \providecommand\color[2][]{% + \GenericError{(gnuplot) \space\space\space\@spaces}{% + Package color not loaded in conjunction with + terminal option `colourtext'% + }{See the gnuplot documentation for explanation.% + }{Either use 'blacktext' in gnuplot or load the package + color.sty in LaTeX.}% + \renewcommand\color[2][]{}% + }% + \providecommand\includegraphics[2][]{% + \GenericError{(gnuplot) \space\space\space\@spaces}{% + Package graphicx or graphics not loaded% + }{See the gnuplot documentation for explanation.% + }{The gnuplot epslatex terminal needs graphicx.sty or graphics.sty.}% + \renewcommand\includegraphics[2][]{}% + }% + \providecommand\rotatebox[2]{#2}% + \@ifundefined{ifGPcolor}{% + \newif\ifGPcolor + \GPcolorfalse + }{}% + \@ifundefined{ifGPblacktext}{% + \newif\ifGPblacktext + \GPblacktextfalse + }{}% + % define a \g@addto@macro without @ in the name: + \let\gplgaddtomacro\g@addto@macro + % define empty templates for all commands taking text: + \gdef\gplbacktext{}% + \gdef\gplfronttext{}% + \makeatother + \ifGPblacktext + % no textcolor at all + \def\colorrgb#1{}% + \def\colorgray#1{}% + \else + % gray or color? + \ifGPcolor + \def\colorrgb#1{\color[rgb]{#1}}% + \def\colorgray#1{\color[gray]{#1}}% + \expandafter\def\csname LTw\endcsname{\color{white}}% + \expandafter\def\csname LTb\endcsname{\color{black}}% + \expandafter\def\csname LTa\endcsname{\color{black}}% + \expandafter\def\csname LT0\endcsname{\color[rgb]{1,0,0}}% + \expandafter\def\csname LT1\endcsname{\color[rgb]{0,1,0}}% + \expandafter\def\csname LT2\endcsname{\color[rgb]{0,0,1}}% + \expandafter\def\csname LT3\endcsname{\color[rgb]{1,0,1}}% + \expandafter\def\csname LT4\endcsname{\color[rgb]{0,1,1}}% + \expandafter\def\csname LT5\endcsname{\color[rgb]{1,1,0}}% + \expandafter\def\csname LT6\endcsname{\color[rgb]{0,0,0}}% + \expandafter\def\csname LT7\endcsname{\color[rgb]{1,0.3,0}}% + \expandafter\def\csname LT8\endcsname{\color[rgb]{0.5,0.5,0.5}}% + \else + % gray + \def\colorrgb#1{\color{black}}% + \def\colorgray#1{\color[gray]{#1}}% + \expandafter\def\csname LTw\endcsname{\color{white}}% + \expandafter\def\csname LTb\endcsname{\color{black}}% + \expandafter\def\csname LTa\endcsname{\color{black}}% + \expandafter\def\csname LT0\endcsname{\color{black}}% + \expandafter\def\csname LT1\endcsname{\color{black}}% + \expandafter\def\csname LT2\endcsname{\color{black}}% + \expandafter\def\csname LT3\endcsname{\color{black}}% + \expandafter\def\csname LT4\endcsname{\color{black}}% + \expandafter\def\csname LT5\endcsname{\color{black}}% + \expandafter\def\csname LT6\endcsname{\color{black}}% + \expandafter\def\csname LT7\endcsname{\color{black}}% + \expandafter\def\csname LT8\endcsname{\color{black}}% + \fi + \fi + \setlength{\unitlength}{0.0500bp}% + \begin{picture}(7200.00,5040.00)% + \gplgaddtomacro\gplbacktext{% + \csname LTb\endcsname% + \put(770,440){\makebox(0,0)[r]{\strut{} 1.5}}% + \put(770,1059){\makebox(0,0)[r]{\strut{} 2}}% + \put(770,1679){\makebox(0,0)[r]{\strut{} 2.5}}% + \put(770,2298){\makebox(0,0)[r]{\strut{} 3}}% + \put(770,2918){\makebox(0,0)[r]{\strut{} 3.5}}% + \put(770,3537){\makebox(0,0)[r]{\strut{} 4}}% + \put(770,4157){\makebox(0,0)[r]{\strut{} 4.5}}% + \put(770,4776){\makebox(0,0)[r]{\strut{} 5}}% + \put(902,220){\makebox(0,0){\strut{} 0.5}}% + \put(1560,220){\makebox(0,0){\strut{} 0.55}}% + \put(2218,220){\makebox(0,0){\strut{} 0.6}}% + \put(2877,220){\makebox(0,0){\strut{} 0.65}}% + \put(3535,220){\makebox(0,0){\strut{} 0.7}}% + \put(4193,220){\makebox(0,0){\strut{} 0.75}}% + \put(4851,220){\makebox(0,0){\strut{} 0.8}}% + \put(5510,220){\makebox(0,0){\strut{} 0.85}}% + \put(6168,220){\makebox(0,0){\strut{} 0.9}}% + \put(6826,220){\makebox(0,0){\strut{} 0.95}}% + }% + \gplgaddtomacro\gplfronttext{% + \csname LTb\endcsname% + \put(5839,4603){\makebox(0,0)[r]{\strut{}'amdhal.dat'}}% + }% + \gplbacktext + \put(0,0){\includegraphics{fig/amdhal}}% + \gplfronttext + \end{picture}% +\endgroup
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/fig/cell.eps Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,1415 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%HiResBoundingBox: 0.000000 0.000000 519.000000 292.000000 +%APL_DSC_Encoding: UTF8 +%%Title: (Unknown) +%%Creator: (Unknown) +%%CreationDate: (Unknown) +%%For: (Unknown) +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%Pages: 1 +%%BoundingBox: 0 0 519 292 +%%EndComments +%%BeginProlog +%%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 +/ld{load def}bd +/xs{exch store}bd +/xd{exch def}bd +/cmmtx matrix def +mark +/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 0 519 292 +%%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 /P put + dup 34 /E put + dup 35 /parenleft put + dup 36 /o put + dup 37 /w put + dup 38 /e put + dup 39 /r put + dup 40 /C put + dup 41 /c put + dup 42 /s put + dup 43 /l put + dup 44 /m put + dup 45 /n put + dup 46 /t put + dup 47 /parenright put + dup 48 /S put + dup 49 /y put + dup 50 /g put + dup 51 /i put + dup 52 /I put + dup 53 /B put + dup 54 /space put + dup 55 /f put + dup 56 /a put + dup 57 /u put + dup 58 /M put + dup 59 /d put + dup 60 /b 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 -399 1 index div -909 2 index div 2961 3 index div 2470 5 -1 roll div]cvx def + /sfnts [< + 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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/fig/code.eps Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,3404 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%HiResBoundingBox: 0.000000 0.000000 383.997986 176.998001 +%APL_DSC_Encoding: UTF8 +%%Title: (Unknown) +%%Creator: (Unknown) +%%CreationDate: (Unknown) +%%For: (Unknown) +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%Pages: 1 +%%BoundingBox: 0 0 383 176 +%%EndComments +%%BeginProlog +%%BeginFile: cg-pdf.ps +%%Copyright: Copyright 2000-2002 Apple Computer Incorporated. +%%Copyright: All Rights Reserved. +currentpacking true setpacking +/cg_md 140 dict def +cg_md begin +/L3? languagelevel 3 ge def +/bd{bind def}bind def +/ld{load def}bd +/xs{exch store}bd +/xd{exch def}bd +/cmmtx matrix def +mark +/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 +/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 +/Domain 0 def +/Encode 0 def +/Decode 0 def +/Size 0 def +/DataSource 0 def +/mIndex 0 def +/nDomain 0 def +/ival 0 def +/val 0 def +/nDomM1 0 def +/sizem1 0 def +/srcEncode 0 def +/srcDecode 0 def +/nRange 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 +/min +{ + 2 copy gt + {exch pop}{pop}ifelse +}bd +/max +{ + 2 copy lt + {exch pop}{pop}ifelse +}bd +/inter +{ + 1 index sub 5 2 roll + 1 index sub + 3 1 roll + sub 3 1 roll div mul add +}bd +/setupFunEvalN +{ + begin + /nDomM1 Domain length 2 idiv 1 sub store + /sizem1[ + 0 1 nDomM1 + { + Size exch get 1 sub + }for + ]store + /srcEncode + currentdict/Encode known + { + Encode + }{ + [ + 0 1 nDomM1 + { + 0 sizem1 3 -1 roll get + }for + ] + }ifelse + store + /srcDecode + currentdict/Decode known + {Decode}{Range}ifelse + store + /nRange Range length 2 idiv store + end +}bd +/FunEvalN +{ + begin + + nDomM1 -1 0 + { + 2 mul/mIndex xs + Domain mIndex get max Domain mIndex 1 add get min + + Domain mIndex get Domain mIndex 1 add get srcEncode mIndex get srcEncode mIndex 1 add get inter + round cvi + + 0 max sizem1 mIndex 2 idiv get min + nDomM1 1 add 1 roll + }for + + nDomM1 1 add array astore/val xs + + + + nDomM1 0 gt + { + 0 + nDomM1 -1 0 + { + dup 0 gt + { + /mIndex xs + val mIndex get + 1 index add + Size mIndex 1 sub get + mul + add + }{ + val exch get add + }ifelse + }for + }{ + val 0 get + }ifelse + + + nRange mul + /ival xs + 0 1 nRange 1 sub + { + dup 2 mul/mIndex xs + ival + add DataSource exch get + + 0 255 + srcDecode mIndex 2 copy get 3 1 roll + 1 add get + inter + Range mIndex get max Range mIndex 1 add get min + }for + end +}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 setupFunEvalN + + + clippath {pathbbox}stopped {0 0 0 0}if newpath + /ymax xs + /xmax xs + /ymin xs + /xmin xs + currentdict/Extend known + { + /Extend load 0 get + { + + /Domain load 0 get + /Function load FunEvalN sc + xmin ymin xmin abs ymax ymin sub rectfill + }if + }if + + + /dx/Function load/Size get 0 get 1 sub 1 exch div store + gsave + /di ymax ymin sub store + /Function load dup + /Domain get dup 0 get exch 1 get 2 copy exch sub dx mul exch + { + 1 index FunEvalN sc + 0 ymin dx di rectfill + dx 0 translate + }for + pop + grestore + currentdict/Extend known + { + /Extend load 1 get + { + + /Domain load 1 get + /Function load FunEvalN 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 + setupFunEvalN + + + + + + 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 + { + /Domain load 0 get/Function load FunEvalN 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 + /Domain load dup 0 get exch 1 get + 2 copy exch sub Nsteps div + exch + { + 1 index FunEvalN 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 + { + /Domain load 1 get/Function load FunEvalN 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 0 383 176 +%%BeginPageSetup +cg_md begin +bp +sdmtx +%RBIBeginFontSubset: TCMPPA+Helvetica +%!PS-TrueTypeFont-1.0000-0.0000-2 + 14 dict begin/FontName /TCMPPA+Helvetica def + /PaintType 0 def + /Encoding 256 array 0 1 255{1 index exch/.notdef put}for + dup 33 /C put + dup 34 /o put + dup 35 /d put + dup 36 /e put + dup 37 /space put + dup 38 /S put + dup 39 /g put + dup 40 /m put + dup 41 /n put + dup 42 /t put + dup 43 /I put + dup 44 /p put + dup 45 /u put + dup 46 /r put + dup 47 /f put + dup 48 /a put + dup 49 /c put + dup 50 /O 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 -342 1 index div -914 2 index div 2036 3 index div 2100 5 -1 roll div]cvx def + /sfnts [< + 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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/fig/code.graffle Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,575 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!DOCTYPE plist PUBLIC "-//Apple Computer//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd"> +<plist version="1.0"> +<dict> + <key>CanvasColor</key> + <dict> + <key>a</key> + <string>1</string> + <key>w</key> + <string>1</string> + </dict> + <key>ColumnAlign</key> + <integer>0</integer> + <key>ColumnSpacing</key> + <real>3.600000e+01</real> + <key>GraphDocumentVersion</key> + <integer>2</integer> + <key>GraphicsList</key> + <array> + <dict> + <key>Class</key> + <string>LineGraphic</string> + <key>Head</key> + <dict> + <key>ID</key> + <integer>8</integer> + </dict> + <key>ID</key> + <integer>11</integer> + <key>Points</key> + <array> + <string>{287.357, 108}</string> + <string>{360.284, 140.935}</string> + </array> + <key>Style</key> + <dict> + <key>stroke</key> + <dict> + <key>HeadArrow</key> + <string>FilledArrow</string> + <key>LineType</key> + <integer>1</integer> + <key>TailArrow</key> + <string>0</string> + </dict> + </dict> + <key>Tail</key> + <dict> + <key>ID</key> + <integer>3</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>10</integer> + <key>Points</key> + <array> + <string>{286.894, 72}</string> + <string>{360.228, 39.0346}</string> + </array> + <key>Style</key> + <dict> + <key>stroke</key> + <dict> + <key>HeadArrow</key> + <string>FilledArrow</string> + <key>LineType</key> + <integer>1</integer> + <key>TailArrow</key> + <string>0</string> + </dict> + </dict> + <key>Tail</key> + <dict> + <key>ID</key> + <integer>3</integer> + </dict> + </dict> + <dict> + <key>Bounds</key> + <string>{{351, 9}, {72, 36}}</string> + <key>Class</key> + <string>ShapedGraphic</string> + <key>ID</key> + <integer>9</integer> + <key>Shape</key> + <string>Circle</string> + <key>Text</key> + <dict> + <key>Text</key> + <string>{\rtf1\mac\ansicpg10001\cocoartf102 +{\fonttbl\f0\fswiss\fcharset77 Helvetica;} +{\colortbl;\red255\green255\blue255;} +\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc + +\f0\fs24 \cf0 Output Interface}</string> + </dict> + </dict> + <dict> + <key>Bounds</key> + <string>{{351, 135}, {72, 36}}</string> + <key>Class</key> + <string>ShapedGraphic</string> + <key>ID</key> + <integer>8</integer> + <key>Shape</key> + <string>Circle</string> + <key>Text</key> + <dict> + <key>Text</key> + <string>{\rtf1\mac\ansicpg10001\cocoartf102 +{\fonttbl\f0\fswiss\fcharset77 Helvetica;} +{\colortbl;\red255\green255\blue255;} +\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc + +\f0\fs24 \cf0 Output Interface}</string> + </dict> + </dict> + <dict> + <key>Bounds</key> + <string>{{351, 72}, {72, 36}}</string> + <key>Class</key> + <string>ShapedGraphic</string> + <key>ID</key> + <integer>7</integer> + <key>Shape</key> + <string>Circle</string> + <key>Text</key> + <dict> + <key>Text</key> + <string>{\rtf1\mac\ansicpg10001\cocoartf102 +{\fonttbl\f0\fswiss\fcharset77 Helvetica;} +{\colortbl;\red255\green255\blue255;} +\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc + +\f0\fs24 \cf0 Output Interface}</string> + </dict> + </dict> + <dict> + <key>Bounds</key> + <string>{{54, 72}, {72, 36}}</string> + <key>Class</key> + <string>ShapedGraphic</string> + <key>ID</key> + <integer>6</integer> + <key>Shape</key> + <string>Circle</string> + <key>Text</key> + <dict> + <key>Text</key> + <string>{\rtf1\mac\ansicpg10001\cocoartf102 +{\fonttbl\f0\fswiss\fcharset77 Helvetica;} +{\colortbl;\red255\green255\blue255;} +\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc + +\f0\fs24 \cf0 Input Interface}</string> + </dict> + </dict> + <dict> + <key>Class</key> + <string>LineGraphic</string> + <key>Head</key> + <dict> + <key>ID</key> + <integer>7</integer> + </dict> + <key>ID</key> + <integer>5</integer> + <key>Points</key> + <array> + <string>{315, 90.4191}</string> + <string>{351.002, 90.2095}</string> + </array> + <key>Style</key> + <dict> + <key>stroke</key> + <dict> + <key>HeadArrow</key> + <string>FilledArrow</string> + <key>LineType</key> + <integer>1</integer> + <key>TailArrow</key> + <string>0</string> + </dict> + </dict> + <key>Tail</key> + <dict> + <key>ID</key> + <integer>3</integer> + </dict> + </dict> + <dict> + <key>Class</key> + <string>LineGraphic</string> + <key>Head</key> + <dict> + <key>ID</key> + <integer>3</integer> + </dict> + <key>ID</key> + <integer>4</integer> + <key>Points</key> + <array> + <string>{125.999, 90.1326}</string> + <string>{180, 90.0737}</string> + </array> + <key>Style</key> + <dict> + <key>stroke</key> + <dict> + <key>HeadArrow</key> + <string>FilledArrow</string> + <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>{{180, 72}, {135, 36}}</string> + <key>Class</key> + <string>ShapedGraphic</string> + <key>ID</key> + <integer>3</integer> + <key>Shape</key> + <string>Rectangle</string> + <key>Text</key> + <dict> + <key>Text</key> + <string>{\rtf1\mac\ansicpg10001\cocoartf102 +{\fonttbl\f0\fswiss\fcharset77 Helvetica;} +{\colortbl;\red255\green255\blue255;} +\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc + +\f0\fs24 \cf0 Code Segment}</string> + </dict> + </dict> + </array> + <key>GridInfo</key> + <dict/> + <key>HPages</key> + <integer>1</integer> + <key>ImageCounter</key> + <integer>1</integer> + <key>IsPalette</key> + <string>NO</string> + <key>Layers</key> + <array> + <dict> + <key>Lock</key> + <string>NO</string> + <key>Name</key> + <string>1 レイヤー</string> + <key>Print</key> + <string>YES</string> + <key>View</key> + <string>YES</string> + </dict> + </array> + <key>LayoutInfo</key> + <dict> + <key>AutoAdjust</key> + <string>YES</string> + <key>MagneticFieldCenter</key> + <string>{0, 0}</string> + </dict> + <key>MagnetsEnabled</key> + <string>YES</string> + <key>PageBreakColor</key> + <dict> + <key>a</key> + <string>1</string> + <key>w</key> + <string>0.333333</string> + </dict> + <key>PageBreaks</key> + <string>YES</string> + <key>PageSetup</key> + <data> + BAt0eXBlZHN0cmVhbYED6IQBQISEhAtOU1ByaW50SW5mbwGEhAhOU09iamVjdACFkoSE + hBNOU011dGFibGVEaWN0aW9uYXJ5AISEDE5TRGljdGlvbmFyeQCUhAFpFpKEhIQITlNT + dHJpbmcBlIQBKxBOU0pvYkRpc3Bvc2l0aW9uhpKEmZkPTlNQcmludFNwb29sSm9ihpKE + mZkOTlNCb3R0b21NYXJnaW6GkoSEhAhOU051bWJlcgCEhAdOU1ZhbHVlAJSEASqEhAFm + nSSGkoSZmQtOU1BhcGVyTmFtZYaShJmZAkE0hpKEmZkPTlNQcmludEFsbFBhZ2VzhpKE + nZyEhAFjngGGkoSZmQpOU1NhdmVQYXRohpKEmZkAhpKEmZkNTlNSaWdodE1hcmdpboaS + 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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ieice.aux Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,33 @@ +\relax +\bibstyle{jplain} +\citation{Cell} +\newlabel{cellarch}{{1.}{1}} +\citation{java-conncurrecy} +\newlabel{amdahl}{{2.\,1}{2}} +\citation{spurs} +\citation{kono08b} +\citation{cbc-sourceforge} +\newlabel{fig000}{{4.}{3}} +\citation{kono01g} +\citation{wolper82} +\citation{synBTTL} +\citation{kono93b} +\citation{holzmann97model} +\citation{havelund98model} +\citation{groce04understanding} +\newlabel{tab:dpp_tableau}{{1}{6}} +\bibdata{ref} +\bibcite{synBTTL}{1} +\bibcite{Cell}{2} +\bibcite{java-conncurrecy}{3} +\bibcite{groce04understanding}{4} +\bibcite{havelund98model}{5} +\bibcite{holzmann97model}{6} +\bibcite{spurs}{7} +\bibcite{kono93b}{8} +\bibcite{wolper82}{9} +\bibcite{cbc-sourceforge}{10} +\bibcite{kono01g}{11} +\bibcite{kono08b}{12} +\newlabel{tab:spin_dpp}{{2}{7}} +\newlabel{tab:jpf_dpp}{{3}{7}}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ieice.bbl Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,63 @@ +\begin{thebibliography}{10} + +\bibitem{synBTTL} +E.M. Clarke and E.A. Emerson. +\newblock ``synthesis of synchronizatoin skeletons from branching time temporal + logic''. +\newblock In {\em Proc. of the Workshop on Logics of Programs, LNCS-131, + Springer-Verlag}, 1982. + +\bibitem{Cell} +Sony Corporation. +\newblock Cell broadband engine architecture, 2005. + +\bibitem{java-conncurrecy} +Brian Goetz, Tim Peierls, Joshua Bloch, Joseph Bowbeer, David Holmes, and Doug + Lea. +\newblock {\em Java Concurrency in Practice}. +\newblock Addison-Wesley Professional, 2006. + +\bibitem{groce04understanding} +A.~Groce, D.~Kroening, and F.~Lerda. +\newblock Understanding counterexamples with explain, 2004. + +\bibitem{havelund98model} +K.~Havelund and T.~Pressburger. +\newblock Model checking java programs using java pathfinder, 1998. + +\bibitem{holzmann97model} +Gerard~J. Holzmann. +\newblock The model checker {SPIN}. +\newblock {\em Software Engineering}, Vol.~23, No.~5, pp. 279--295, 1997. + +\bibitem{spurs} +Keisuke Inoue. +\newblock Spu centric execution model, 2006. + +\bibitem{kono93b} +Shinji Kono. +\newblock {A Combination of Clasual and Non Clausal Temporal Logic Program}. +\newblock {\em {IJCAI-93 Workshop on Executable Modal and Temporal Logics}}, + Aug, 1993. + +\bibitem{wolper82} +P.~Wolper. +\newblock Synthesis of communicating processes from temporal logic + specifications. +\newblock Technical Report STAN-CS-82-925, Stanford University, 1982. + +\bibitem{cbc-sourceforge} +{河野 真治 }. +\newblock {CbC}, March 2008. + +\bibitem{kono01g} +{河野真治(琉球大/科学技術振興事業団), 揚 挺(琉球大)}. +\newblock {C言語のContinuation based C への変換}. +\newblock In {\em SwoPP 2001}, July 2001. + +\bibitem{kono08b} +{神里 晃, 河野 真治 }. +\newblock {CからCell Architectureを利用したCbCへの変換}. +\newblock VLD研究会, March 2008. + +\end{thebibliography}
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10000) detected at line 29 +\OT1/cmr/m/n/8 cellarch + [] + +) (./2.tex [1 + + +] +LaTeX Font Info: Font shape `JT1/mc/bx/n' in size <9> not available +(Font) Font shape `JT1/gt/m/n' tried instead on input line 12. +LaTeX Font Info: Font shape `JY1/mc/bx/n' in size <9> not available +(Font) Font shape `JY1/gt/m/n' tried instead on input line 12. +File: fig/amdahl.eps Graphic file (type eps) + <fig/amdahl.eps> +Underfull \hbox (badness 10000) detected at line 21 +\OT1/cmr/m/n/8 amdahl + [] + +[2]) (./3.tex) (./4.tex +File: fig/code.eps Graphic file (type eps) + <fig/code.eps> [3] +Overfull \hbox (17.53192pt too wide) in paragraph at lines 109--116 +\OT1/cmtt/m/n/9 If the mutex is already locked, the calling thread will + [] + + +Overfull \hbox (31.70676pt too wide) in paragraph at lines 162--162 +[] \OT1/cmtt/m/n/9 code pickup_rfork(PhilsPtr self, TaskPtr current_task)[] + + [] + +) (./5.tex [4]) (./6.tex +Overfull \hbox (41.15665pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 while(!(list = next_task_iterator(task_iter))) {[ +] + [] + + +Overfull \hbox (50.60654pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 // no more branch, go back to the previous on +e[] + [] + + +Overfull \hbox (41.15665pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 TaskIteratorPtr prev_iter = task_iter->prev;[ +] + [] + + +Overfull \hbox (22.25687pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 printf("All done count %d\n",count);[] + [] + + +Overfull \hbox (3.35709pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 printf("no more branch %d\n",count);[] + [] + + +Overfull \hbox (69.50632pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 // here we assume task list is fixed, we don't ha +ve to[] + [] + + +Overfull \hbox (8.08203pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 restore_memory(task_iter->state->memory);[] + [] + + +Overfull \hbox (116.75577pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 printf("restore list %x next %x\n",(int)list,(int +)(list->next));[] + [] + + +Overfull \hbox (64.78137pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 task_iter = create_task_iterator(list,out,task_it +er);[] + [] + +[5]) (./7.tex) (./8.tex) (./9.tex [6]) (./10.tex)) (./ieice.bbl +LaTeX Font Info: Font shape `JT1/gt/m/it' in size <8> not available +(Font) Font shape `JT1/gt/m/n' tried instead on input line 7. +LaTeX Font Info: Font shape `JY1/gt/m/it' in size <8> not available +(Font) Font shape `JY1/gt/m/n' tried instead on input line 7. +) [7] +(./ieice.aux) + +LaTeX Font Warning: Size substitutions with differences +(Font) up to 0.45pt have occurred. + + ) +Here is how much of TeX's memory you used: + 991 strings out of 94689 + 11060 string characters out of 1170012 + 73136 words of memory out of 1000000 + 4257 multiletter control sequences out of 10000+50000 + 20563 words of font info for 83 fonts, out of 500000 for 2000 + 566 hyphenation exceptions out of 1000 + 25i,7n,23p,227b,542s stack positions out of 1500i,500n,5000p,200000b,5000s + +Output written on ieice.dvi (7 pages, 54376 bytes).
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ieice.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,58 @@ +%% v1.3 [2003/10/31] +\documentclass[technicalreport]{ieicej} +%\documentclass[technicalreport,usejistfm]{ieicej} +%\usepackage{graphicx} +\usepackage{latexsym} +\usepackage[dvipdfm]{graphicx} +%\usepackage[fleqn]{amsmath} +%\usepackage[psamsfonts]{amssymb} +\bibliographystyle{jplain} % for bibliography + + +\def\IEICEJcls{\texttt{ieicej.cls}} +\def\IEICEver{1.3} +\newcommand{\AmSLaTeX}{% + $\mathcal A$\lower.4ex\hbox{$\!\mathcal M\!$}$\mathcal S$-\LaTeX} +\newcommand{\PS}{{\scshape Post\-Script}} +\def\BibTeX{{\rmfamily B\kern-.05em{\scshape i\kern-.025em b}\kern-.08em + T\kern-.1667em\lower.7ex\hbox{E}\kern-.125em X}} + +\jtitle{ 検証を自身で表現できるハードウェア、ソフトウェア記述言語 Continuation ba +sed C と、そのCell への応用} +\jsubtitle{} +\etitle{ Self descriptive verfication in Continuation based C and it's appli +cation to Cell architecture } +\esubtitle{} +\authorlist{% + \authorentry[kono@ie.u-ryukyu.ac.jp]{河野 真治}{Shinji KONO}{Tokyo}% +} +\affiliate[Okinawa]{琉球大学理工学研究科情報工学専攻\hskip1zw + 〒903-0213 沖縄県西原町千原1番地} + {Information Engineering, + University Of Ryukyus\hskip1em + Senbaru 1, Nishihara , Okinawa, + 903-0213 Japan} + +%\MailAddress{$\dagger$hanako@denshi.ac.jp, +% $\dagger\dagger$\{taro,jiro\}@jouhou.co.jp} + +\begin{document} +\begin{jabstract} +\input{abstract} +\end{jabstract} +\begin{jkeyword} +Cell，マルチコア， 継続 +\end{jkeyword} +\begin{eabstract} +\input{abstract-e} +\end{eabstract} +\begin{ekeyword} +multicore , Cell +\end{ekeyword} +\maketitle + +\input{0} +\bibliography{ref} + +\end{document} +
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+\DeclareOption{comment}{\@papertrue + \gdef\hd@type{解説論文}\gdef\tl@type{解説論文}\gdef\@type{P}} +\DeclareOption{survey}{\@papertrue + \gdef\hd@type{サーベイ論文}\gdef\tl@type{サーベイ論文}\gdef\@type{P}} +\DeclareOption{letter}{\@lettertrue\@paperfalse + \gdef\hd@type{レター}\gdef\tl@type{\@typeofletter}\gdef\@type{L}} +\DeclareOption{letterpaper}{\@letterpapertrue\@paperfalse + \gdef\hd@type{レター}\gdef\tl@type{レター}\gdef\@type{LP}} +\DeclareOption{technicalreport}{\@tecreptrue} + +\def\tl@type{論\hskip1zw 文} +\def\hd@type{論文} +\def\@type{P}% paper + +%\def\ieicejline@warning{\ClassWarning{ieicej}} +\def\ieicej@warning{\ClassWarningNoLine{ieicej}} + +\newif\if@usejistfm \@usejistfmfalse +\DeclareOption{usejistfm}{\@usejistfmtrue} + +\newif\if@Proof \@Prooffalse +\DeclareOption{Proof}{\@Prooftrue} +\newif\if@cameraready \@camerareadyfalse +\DeclareOption{cameraready}{\@camerareadytrue} + +%% for 2.1.4 and non pLaTeX2e compatibility +\@ifundefined{hour}{}{% + \hour\time \divide\hour by 60\relax + 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from /usr/local/teTeX/share/texmf/tex/latex/base/ot1cmr.fd +\DeclareFontShape{OT1}{cmr}{m}{n}% + {% + <-6>cmr5% + <6-7>cmr6% + <7-8>cmr7% + <8-9>cmr8% + <9-10>cmr9% + <10-12>cmr10% + <12-17>cmr12% + <17->cmr17% + }{} +\DeclareFontShape{OT1}{cmr}{m}{sl}% + {% + <-9>cmsl8% + <9-10>cmsl9% + <10-12>cmsl10% + <12->cmsl12% + }{} +\DeclareFontShape{OT1}{cmr}{m}{it}% + {% + <-8>cmti7% + <8-9>cmti8% + <9-10>cmti9% + <10-12>cmti10% + <12->cmti12% + }{} +\DeclareFontShape{OT1}{cmr}{m}{sc}% + {% + <->cmcsc10% + }{} +\DeclareFontShape{OT1}{cmr}{m}{ui} + {% + <->cmu10% + }{} +\DeclareFontShape{OT1}{cmr}{b}{n} + {% + <->cmb10% + }{} +\DeclareFontShape{OT1}{cmr}{bx}{n} + {% + <-6>cmbx5% + <6-7>cmbx6% + <7-8>cmbx7% + <8-9>cmbx8% + <9-10>cmbx9% + <10-12>cmbx10% + <12->cmbx12% + }{} +\DeclareFontShape{OT1}{cmr}{bx}{sl} + {% + <->cmbxsl10% + }{} +\DeclareFontShape{OT1}{cmr}{bx}{it} + {% + <->cmbxti10% + }{} +\DeclareFontShape{OT1}{cmr}{bx}{ui} + {% + <->sub*cmr/m/ui + }{} + +\if@tecrep + \renewcommand{\normalsize}{% + \@setfontsize\normalsize\@ixpt{20.5\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + \abovedisplayskip 9\p@ \@plus 3\p@ \@minus 4\p@ + \abovedisplayshortskip \z@ \@plus 2.5\p@ + \belowdisplayshortskip 5\p@ \@plus 2\p@ \@minus 2\p@ + \belowdisplayskip \abovedisplayskip + \let\@listi\@listI} + \normalsize + \setbox0\hbox{\char\euc"A1A1}% " + \setlength\Cht{\ht0} + \setlength\Cdp{\dp0} + \setlength\Cwd{\wd0} + \setlength\Cvs{\baselineskip} + \setlength\Chs{\wd0} + + \newcommand{\small}{% + \@setfontsize\small\@viiipt{18\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@ + \abovedisplayshortskip \z@ \@plus\p@ + \belowdisplayshortskip 3\p@ \@plus\p@ \@minus2\p@ + \def\@listi{\leftmargin\leftmargini + \topsep 3\p@ \@plus \p@ \@minus \p@ + \parsep 1\p@ \@plus \p@ \@minus \p@ + \itemsep \parsep}% + \belowdisplayskip \abovedisplayskip} + + \newcommand{\footnotesize}{% + \@setfontsize\footnotesize\@viipt{16\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + \abovedisplayskip 5\p@ \@plus 1.5\p@ \@minus 3\p@ + \abovedisplayshortskip \z@ \@plus\p@ + \belowdisplayshortskip 2.5\p@ \@plus \p@ \@minus 1.5\p@ + \def\@listi{\leftmargin\leftmargini + \topsep 2\p@ \@plus\p@ \@minus\p@ + \parsep 1\p@ \@plus\p@ \@minus\p@ + \itemsep \parsep}% + \belowdisplayskip \abovedisplayskip} + + \newcommand{\scriptsize}{\@setfontsize\scriptsize\@vipt\@viiipt} + \newcommand{\tiny}{\@setfontsize\tiny\@vpt\@vipt} + \newcommand{\large}{\@setfontsize\large\@xpt{22\@Q}} + \newcommand{\Large}{\@setfontsize\Large\@xipt{27\@Q}} + \newcommand{\LARGE}{\@setfontsize\LARGE\@xiipt{33\@Q}} + \newcommand{\huge}{\@setfontsize\huge\@xivpt{25}} + \newcommand{\Huge}{\@setfontsize\Huge\@xviipt{30}} + + \headheight \z@ + \headsep \z@ + \topskip 1\Cht + \footskip 9.5mm + \maxdepth .5\topskip + \textwidth 58\Cwd + \@settopoint\textwidth + \textheight 49\Cvs + \advance \textheight \topskip + \advance \textheight .15mm + \@settopoint\textheight +\else + \renewcommand{\normalsize}{% + \@setfontsize\normalsize\@ixpt{19\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + \abovedisplayskip 9\p@ \@plus 3\p@ \@minus 4\p@ + \abovedisplayshortskip \z@ \@plus 2.5\p@ + \belowdisplayshortskip 5\p@ \@plus 2\p@ \@minus 2\p@ + \belowdisplayskip \abovedisplayskip + \let\@listi\@listI} + \normalsize + \setbox0\hbox{\char\euc"A1A1}% " + \setlength\Cht{\ht0} + \setlength\Cdp{\dp0} + \setlength\Cwd{\wd0} + \setlength\Cvs{\baselineskip} + \setlength\Chs{\wd0} + + \if@letter + \newcommand{\Small}{\@setfontsize\Small\@viiipt{18\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + } + \else + \newcommand{\Small}{\@setfontsize\Small\@viiipt{16\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + } + \fi + + \newcommand{\small}{% + \@setfontsize\small\@viipt{13\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@ + \abovedisplayshortskip \z@ \@plus\p@ + \belowdisplayshortskip 3\p@ \@plus\p@ \@minus2\p@ + \def\@listi{\leftmargin\leftmargini + \topsep 3\p@ \@plus \p@ \@minus \p@ + \parsep 1\p@ \@plus \p@ \@minus \p@ + \itemsep \parsep}% + \belowdisplayskip \abovedisplayskip} + \newcommand{\footnotesize}{% + \@setfontsize\footnotesize\@vipt{13\@Q}% + \kanjiskip\z@ \@plus .1zw \@minus .05zw + \abovedisplayskip 5\p@ \@plus 1.5\p@ \@minus 3\p@ + \abovedisplayshortskip \z@ \@plus\p@ + \belowdisplayshortskip 2.5\p@ \@plus \p@ \@minus 1.5\p@ + \def\@listi{\leftmargin\leftmargini + \topsep 2\p@ \@plus\p@ \@minus\p@ + \parsep 1\p@ \@plus\p@ \@minus\p@ + \itemsep \parsep}% + \belowdisplayskip \abovedisplayskip} + + %%\newcommand{\scriptsize}{\@setfontsize\scriptsize\@viipt\@viiipt} + \let\scriptsize\footnotesize + \newcommand{\tiny}{\@setfontsize\tiny\@vpt\@vipt} + \newcommand{\large}{\@setfontsize\large\@xpt{19\@Q}} + \newcommand{\Large}{\@setfontsize\Large\@xipt{27\@Q}} + \newcommand{\LARGE}{\@setfontsize\LARGE\@xiipt{33\@Q}} + \newcommand{\huge}{\@setfontsize\huge\@xivpt{25}} + \newcommand{\Huge}{\@setfontsize\Huge\@xviipt{30}} + + \headheight 12\@Q %% 11H + \headsep 6.25mm + \topskip 1\Cht + \footskip 7.5mm + \maxdepth .5\topskip + \textwidth 151.5mm %% 24w x 2 + 30H + \@settopoint\textwidth + \textheight 43\Cvs + \advance \textheight \topskip + \advance \textheight .4mm %% limit .31mm + \@settopoint\textheight +\fi + +\if@twocolumn + \setlength\marginparsep{5mm} +\else + \setlength\marginparsep{5mm} +\fi +\setlength\marginparpush{5pt} + +\iftombow +% \hoffset\z@ +% \voffset\z@ + \topmargin\paperheight + \advance \topmargin -\textheight + \advance \topmargin -\headheight + \advance \topmargin -\headsep + \advance \topmargin -\footskip + \divide \topmargin \tw@ + \advance \topmargin -1.25mm + \advance \topmargin -1in + \@settopoint\topmargin + \oddsidemargin\paperwidth + \advance \oddsidemargin -\textwidth + \divide \oddsidemargin \tw@ + \advance \oddsidemargin -1in + \@settopoint\oddsidemargin + \evensidemargin\oddsidemargin + \@settopoint\evensidemargin +\else + \topmargin \z@ + \@settopoint\topmargin + \oddsidemargin\z@ + \@settopoint\oddsidemargin + \evensidemargin\z@ + \@settopoint\evensidemargin +\fi + +\marginparwidth 20mm +\@settopoint\marginparwidth + +\if@tecrep + \setlength\footnotesep{2.8mm} +\else + \setlength\footnotesep{2.275mm} +\fi +\setlength{\skip\footins}{1\Cvs plus .9\Cvs \@minus .3\Cvs} +\setlength\intextsep {1\Cvs \@plus .75\Cvs \@minus .25\Cvs} +\setlength\floatsep {1\Cvs \@plus .75\Cvs \@minus .25\Cvs} +\setlength\dblfloatsep {1\Cvs \@plus .75\Cvs \@minus .25\Cvs} +\setlength\textfloatsep{1.5\Cvs \@plus .75\Cvs \@minus .25\Cvs} +\setlength\dbltextfloatsep{1.5\Cvs \@plus .75\Cvs \@minus .25\Cvs} + +\setlength\@fptop{0\p@ \@plus 1fil} +\setlength\@fpsep{8\p@ \@plus 2fil} +\setlength\@fpbot{0\p@ \@plus 1fil} +\setlength\@dblfptop{0\p@ \@plus 1fil} +\setlength\@dblfpsep{8\p@ \@plus 2fil} +\setlength\@dblfpbot{0\p@ \@plus 1fil} +\setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@} + +\def\@listi{\leftmargin\leftmargini + \parsep 4\p@ \@plus2\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep 4\p@ \@plus2\p@ \@minus\p@} +\let\@listI\@listi +\@listi +\def\@listii{\leftmargin\leftmarginii + \labelwidth\leftmarginii \advance\labelwidth-\labelsep + \topsep\z@ \@plus\p@ \@minus\p@ + \parsep\z@ \@plus\p@ \@minus\p@ + \itemsep\parsep} +\def\@listiii{\leftmargin\leftmarginiii + \labelwidth\leftmarginiii \advance\labelwidth-\labelsep + \topsep\z@ \@plus\p@ \@minus\p@ + \parsep\z@ + \partopsep\z@ \@plus\z@ \@minus\p@ + \itemsep\topsep} +\def\@listiv {\leftmargin\leftmarginiv + \labelwidth\leftmarginiv + \advance\labelwidth-\labelsep} +\def\@listv {\leftmargin\leftmarginv + \labelwidth\leftmarginv + \advance\labelwidth-\labelsep} +\def\@listvi {\leftmargin\leftmarginvi + \labelwidth\leftmarginvi + \advance\labelwidth-\labelsep} + +\if@tecrep + \columnsep 2zw +\else + \columnsep 30\@Q +\fi +\columnseprule 0\p@ +\lineskip 2\p@ +\normallineskip 2\p@ +\renewcommand{\baselinestretch}{} +\parskip\z@ %% 0\p@ \@plus \p@ +\parindent 1zw %% 1\Cwd + +\@lowpenalty 51 +\@medpenalty 151 +\@highpenalty 301 +\setcounter{topnumber}{6} +\setcounter{bottomnumber}{5} +\setcounter{totalnumber}{11} +\setcounter{dbltopnumber}{5} +\renewcommand{\topfraction}{.95} +\renewcommand{\bottomfraction}{.95} +\renewcommand{\textfraction}{.05} +\renewcommand{\floatpagefraction}{.05} +\renewcommand{\dbltopfraction}{.95} +\renewcommand{\dblfloatpagefraction}{.05} + +\if@Proof + \def\@Rtop{\rlap{\smash{\rule[-\headsep]{0.05mm}{10mm}% + \rule[-\headsep]{10mm}{0.05mm}}}} + \def\@Ltop{\llap{\smash{\rule[-\headsep]{10mm}{0.05mm}% + \rule[-\headsep]{0.05mm}{10mm}}}} + \def\@Rbot{\rlap{\smash{\raisebox{1\footskip} + {\rule[-10mm]{0.05mm}{10mm}\rule{10mm}{0.05mm}}}}} + \def\@Lbot{\llap{\smash{\raisebox{1\footskip} + {\rule{10mm}{0.05mm}\rule[-10mm]{0.05mm}{10mm}}}}} +\else + \let\@Rtop\relax\let\@Ltop\relax\let\@Rbot\relax\let\@Lbot\relax +\fi + +\def\field#1{% + \if@tecrep\else + \def\@tempa{#1}% + \def\f@A{A}\def\f@B{B}\def\f@C{C}\def\f@D{D}% + \def\f@DI{DI}\def\f@DII{DII}% + \ifx \@tempa\f@A \gdef\@field{A}\else + \ifx \@tempa\f@B \gdef\@field{B}\else + \ifx \@tempa\f@C \gdef\@field{C}\else + \ifx \@tempa\f@D \gdef\@field{D}\else + \ifx \@tempa\f@DI \gdef\@field{D--{\bfseries I}}\else + \ifx \@tempa\f@DII \gdef\@field{D--{\bfseries II}}\else + \gdef\@field{X}% + \fi\fi\fi\fi\fi\fi + \fi +} + +\def\vol#1{% Vol.J86 = Year 2003 + \def\@tempa{#1}% + \ifx\@tempa\empty + \gdef\@vol{Jxx--\@field}\gdef\ft@year{xxxx}\gdef\hd@year{xxxx}% + \else + \def\@tempa{x}% + \if\@tempa #1\relax + \gdef\@vol{Jxx--\@field}% + \gdef\ft@year{xxxx}% + \gdef\hd@year{xxxx}% + \else + \gdef\@vol{J#1--\@field}% + \@tempcnta=#1\relax + \advance \@tempcnta 1917\relax + \xdef\ft@year{\the\@tempcnta}% + \xdef\hd@year{\the\@tempcnta}% + \fi + \fi +} + +\def\no#1{% + \def\@tempa{#1}% + \ifx\@tempa\empty \gdef\@no{xx}\else \gdef\@no{#1}\fi +} + +\def\@field{} +\def\@vol{} +\def\hd@year{} +\def\ft@year{} +\def\@no{} + +\def\typeofletter#1{\gdef\@typeofletter{#1}} +\def\@typeofletter{} +\def\Sissue#1{\gdef\@Sissue{#1}} +\def\@Sissue{} + +\if@letter\typeofletter{研究速報}\fi +\field{X} +\no{xx} +\vol{x} + +\let\head@font\relax +\DeclareFixedFont{\KFfoot}{JY1}{gt}{m}{n}{10\@JQ} +\def\foot@font{\Small\sffamily\KFfoot} +\def\nombre@font{\Small\sffamily} +%% P (paper) +\def\t@typefont@P{% + \Huge\baselineskip\z@ %% 24\@JQ +} +%% LP (letterpaper) +\def\t@typefont@LP{% + \LARGE\baselineskip\z@ %% 18\@JQ +} +%% L (letter) +\let\t@typefont@L\huge +\def\head@type#1{%% 20\@JQ 平2 + \if@cameraready + \@ifundefined{PSTricksLoaded}{\scalebox{1}[0.8]{\t@typefont@L #1}} + {\def\tmp@scalebox##1{\pst@makebox{\@scalebox{##1}}}% + \ifx\tmp@scalebox\scalebox + \scalebox{1 0.8}{\t@typefont@L #1}% + \else + \scalebox{1}[0.8]{\t@typefont@L #1}% + \fi + }% + \else + {\t@typefont@L #1}% + \fi +} + +\if@cameraready + \def\hd@typeofletter{% + \def\@tempx{ショートノート}% + \ifx\@typeofletter\@tempx + シ\kern-.25zw ョ\kern-.25zw ー\kern-.25zw ト\kern-.35zw + ノ\kern-.25zw ー\kern-.25zw ト% + \else + {\kanjiskip=-.075zw \@typeofletter}\hskip1mm + \fi + } +\else + \def\hd@typeofletter{\@typeofletter} +\fi + +\def\ps@ieicej{\let\@mkboth\@gobbletwo + \if@letter + \def\hrulefill{\leaders\hrule height-1.35mm depth1.85mm\hfil}% + \def\@oddhead{\@Ltop + \smash{\hbox to \textwidth{% + \raisebox{-3mm}{\head@type{\hd@typeofletter}}\hrulefill + \llap{\normalsize\bfseries\mathversion{bold}\@Sissue}}}% + \@Rtop}% + \def\@evenhead{\@Ltop + \rlap{\smash{\hbox to \textwidth{% + \raisebox{-3mm}{\head@type{\hd@typeofletter}}\hrulefill + }}}\hfil + \ifx\@Sissue\empty + {\Small\head@font 電子情報通信学会論文誌\ \hd@year + /\@no\ Vol.\ \@vol\ No.\,\@no}% + \else + {\normalsize\bfseries\mathversion{bold}\@Sissue}% + \fi + \@Rtop}% + \else + \def\hrulefill{\leaders\hrule height-1.5mm depth1.75mm\hfil}% + \if@letterpaper + \def\@oddhead{\@Ltop + \smash{\hbox to \textwidth{% + \raisebox{-3mm}{\csname t@typefont@\@type\endcsname\tl@type}\hrulefill + \llap{\normalsize\bfseries\mathversion{bold}\@Sissue}}}% + \@Rtop}% + \else + \def\@oddhead{\@Ltop + \smash{\hbox to \textwidth{% + \rule[-1.75mm]{14mm}{0.25mm}% + \raisebox{-3mm}{\csname t@typefont@\@type\endcsname\tl@type}\hrulefill + \llap{\normalsize\bfseries\mathversion{bold}\@Sissue}}}% + \@Rtop}% + \fi + \let\@evenhead\@oddhead + \fi + \def\@oddfoot{\@Lbot\hfil + {\foot@font 電子情報通信学会論文誌\hskip1zw + \@field\hskip1zw Vol.\ \@vol\hskip1zw No.\,\@no\hskip1zw + pp.\,\thepage --\pageref{ieicej@lastpage}\hskip1zw + \ft@year 年\@no 月}\hfil + \llap{{\nombre@font\thepage\hskip3mm}}% + \@Rbot}% + \def\@evenfoot{\@Lbot + \rlap{\hskip3mm{\nombre@font\thepage}}\hfil + {\foot@font 電子情報通信学会論文誌\hskip1zw + \@field\hskip1zw Vol.\ \@vol\hskip1zw + No.\,\@no\hskip1zw pp.\,\thepage --\pageref{ieicej@lastpage}\hskip1zw + \ft@year 年\@no 月}\hfil + \@Rbot}% +} + +\def\ps@IEICEJ{\let\@mkboth\@gobbletwo + \def\@oddfoot{\@Lbot\hfil + {\nombre@font \thepage}\hskip3mm + \@Rbot}% + \def\@evenfoot{\@Lbot + \hskip3mm{\nombre@font \thepage}\hfil + \@Rbot} + \def\@oddhead{\@Ltop + \rlap{\hbox to \textwidth{\smash{\rule[-1.75mm]{\textwidth}{0.25mm}}}}% + \odd@header\hfil + \@Rtop}% + \def\@evenhead{\@Ltop + \rlap{\hbox to \textwidth{\smash{\rule[-1.75mm]{\textwidth}{0.25mm}}}}\hfil + {\Small\head@font 電子情報通信学会論文誌\ + \hd@year /\@no\ Vol.\ {\let\bfseries\relax \@vol}\ No.\,\@no}% + \@Rtop}% +} + +\def\odd@header{% + \if@letter + {\Small\head@font レ\hskip1zw タ\hskip1zw ー}% + \else + \if@letterpaper + {\Small\head@font レ\hskip1zw タ\hskip1zw ー}% + \else + \setbox\@tempboxb\hbox{\Small\head@font\def\\{\unskip\ignorespaces}% + \hd@type ／\kern\z@\hd@title}%% < + \ifdim \wd\@tempboxb > \textwidth + \ieicej@warning{header is too long. make it shorter. + ^^J\@spaces For example, \string\title[header title]{title}}% + \fi + \box\@tempboxb + \fi + \fi +} + +\def\ps@empty{% + \def\@oddhead{\@Ltop\hfil\@Rtop}% + \let\@evenhead\@oddhead + \def\@oddfoot{\@Lbot\hfil\@Rbot}% + \let\@evenfoot\@oddfoot + \let\@mkboth\@gobbletwo +} + +\if@tecrep + \def\ps@plain{\let\@mkboth\@gobbletwo + \let\ps@jpl@in\ps@plain + \def\@oddhead{\@Ltop\hfil\@Rtop}% + \def\@oddfoot{\@Lbot\reset@font\hfil ---\ \thepage\ ---\@Rbot}% \hfil + \let\@evenhead\@oddhead + \let\@evenfoot\@oddfoot} +\fi + +\def\jtitle{\@ifnextchar[% ] + {\d@jtitle}{\s@jtitle}} +\def\d@jtitle[#1]#2{\gdef\hd@title{#1}\gdef\@jtitle{#2}} +\def\s@jtitle#1{\gdef\hd@title{#1}\gdef\@jtitle{#1}} +\def\@jtitle{} +\def\hd@title{} + +\def\etitle#1{\gdef\@etitle{#1}} +\def\@etitle{} + +\def\@fnsymbol#1{\ifcase#1 \or % \ensuremath{ + \dagger\or + {\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}{\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}\or + {\dagger}{\dagger}{\dagger}{\dagger}{\dagger}{\dagger}% + {\dagger}{\dagger}{\dagger}\or + *\or {*}{*}\or {*}{*}{*}\or {*}{*}{*}{*}\or + {*}{*}{*}{*}{*}\or {*}{*}{*}{*}{*}{*}\or %% (((((((((((((((((((( + a)\or b)\or c)\or d)\or e)\or f)\or g)\or h)\or i)\or j)\or + k)\or l)\or m)\or n)\or o)\or p)\or q)\or r)\or s)\or t)\else + \@ctrerr\fi}% } +%% mathTimePlus redefines \@fnsymbol. +\let\ieicej@fnsymbol\@fnsymbol + +\newtoks\@authorlist +\newcount\@authorcnt +\newcount\@alcnt +\newcount\p@alcnt + \p@alcnt=9\relax +\newcount\@totalnumber +\newdimen\authornamesep + \authornamesep\z@ +%% \authornamesep1zw + +\def\authorlist#1{% + \if@paper + \@authorlist={#1}\the\@authorlist + \else + \let\authorentry\Lauthorentry + \@authorlist={#1}\@chkmbrship + \fi +} + +\def\Lauthorentry{\@ifnextchar[%% ] + {\TRL@ae}{\NL@ae}} + +\def\NL@ae#1#2#3#4{\@ifnextchar[% ] + {\L@aeP{#1}{#2}{#3}{#4}}% + {\L@ae{#1}{#2}{#3}{#4}}} + +\def\TRL@ae[#1]#2#3#4#5{\@ifnextchar[% ] + {\TRL@aeP[#1]{#2}{#3}{#4}{#5}}% + {\TRL@aeNP[#1]{#2}{#3}{#4}{#5}}} + +\def\L@ae#1#2#3#4{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \get@al{#4}% + \def\al@none{0}% + \expandafter\xdef + \csname @jauthormembership\number\@authorcnt\endcsname{% + \csname #3J@member\endcsname}% + \fmt@Jan{#1}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\plural@affi + \csname @jauthormembership\number\@authorcnt\endcsname}% + \fmt@Ean{#2}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi}% + \expandafter\xdef\csname @authormembership\number\@authorcnt\endcsname{% + \csname #3@member\endcsname}% + \expandafter\xdef\csname @authormembership\number\@authorcnt*\endcsname{% + \csname #3@members\endcsname}% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% +} + +\def\L@aeP#1#2#3#4[#5]{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \get@al{#4}% + \def\al@none{0}% + \@tempcnta\z@ + \get@p@al{#5}% + \expandafter\xdef\csname @jauthormembership\number\@authorcnt\endcsname{% + \csname #3J@member\endcsname}% + \fmt@Jan{#1}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\plural@affi\plural@p@affi + \csname @jauthormembership\number\@authorcnt\endcsname + }% + \fmt@Ean{#2}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi\nobreak\plural@p@affi + }% + \expandafter\xdef\csname @authormembership\number\@authorcnt\endcsname{% + \csname #3@member\endcsname}% + \expandafter\xdef\csname @authormembership\number\@authorcnt*\endcsname{% + \csname #3@members\endcsname}% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% + \def\plural@p@affi{}% +} + +\def\TRL@aeNP[#1]#2#3#4#5{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \GetEma{#1}% + \get@al{#5}% + \def\al@none{0}% + \expandafter\xdef\csname @jauthormembership\number\@authorcnt\endcsname{% + \csname #4J@member\endcsname}% + \fmt@Jan{#2}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\plural@affi\email@affi + \csname @jauthormembership\number\@authorcnt\endcsname}% + \fmt@Ean{#3}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi\email@affi}% + \expandafter\xdef\csname @authormembership\number\@authorcnt\endcsname{% + \csname #4@member\endcsname}% + \expandafter\xdef\csname @authormembership\number\@authorcnt*\endcsname{% + \csname #4@members\endcsname}% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% +} + +\def\TRL@aeP[#1]#2#3#4#5[#6]{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \GetEma{#1}% + \get@al{#5}% + \def\al@none{0}% + \@tempcnta\z@ + \get@p@al{#6}% + \expandafter\xdef\csname @jauthormembership\number\@authorcnt\endcsname{% + \csname #4J@member\endcsname}% + \fmt@Jan{#2}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\plural@affi\plural@p@affi\email@affi + \csname @jauthormembership\number\@authorcnt\endcsname + }% + \fmt@Ean{#3}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi\nobreak\plural@p@affi\nobreak\email@affi + }% + \expandafter\xdef\csname @authormembership\number\@authorcnt\endcsname{% + \csname #4@member\endcsname}% + \expandafter\xdef\csname @authormembership\number\@authorcnt*\endcsname{% + \csname #4@members\endcsname}% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% + \def\plural@p@affi{}% +} + +\def\rJ@member{\hskip-.25zw （正員）} +\def\mJ@member{\hskip-.25zw （正員）} +\def\aJ@member{\hskip-.25zw （准員）} +%%\def\nJ@member{（非会員）} +\def\nJ@member{} +\def\sJ@member{\hskip-.25zw （学生員）} +\def\hJ@member{\hskip-.25zw （名誉員）} +\def\fJ@member{\hskip-.25zw （正員：フェロー）} + +\def\authorentry{\@ifnextchar[% ] + {\TR@ae}{\N@ae}} + +\def\N@ae#1#2#3{\@ifnextchar[% ] + {\@aeP{#1}{#2}{#3}}% + {\@ae{#1}{#2}{#3}}} + +\def\TR@ae[#1]#2#3#4{\@ifnextchar[% ] + {\TR@aeP[#1]{#2}{#3}{#4}}% + {\TR@aeNP[#1]{#2}{#3}{#4}}} + +\def\fmt@Jan#1{% + \setbox\@tempboxb\hbox{\spaceskip=100mm #1}% + \ifdim \wd\@tempboxb < 100mm %% > + \ieicej@warning{Author's name "#1" doesn't have a space}% + \def\@tempname{#1}% + \def\@tempb##1\@nil{##1}% + \edef\@authorname{\expandafter\@tempb\@tempname \@nil}% + \else + \setbox\@tempboxb\hbox{#1}%% < + \ifdim \wd\@tempboxb > 5zw + \def\@tempb##1 ##2\@nil{##1\hskip\authornamesep ##2}% + \else + \def\@tempb##1 ##2\@nil{\leavevmode\hbox to 5zw{##1\hfil ##2}}% + \fi + \def\@tempname{#1}% + \edef\@authorname{\expandafter\@tempb\@tempname \@nil}% + \fi +} + +\def\fmt@Ean#1{% + \@temptokena{#1}% + \setbox\@tempboxa\hbox{\spaceskip=100mm #1}% + \ifdim \wd\@tempboxa < 100mm %% > + \ieicej@warning{a space should be added between 1st and 2nd name: "#1"}% + \else + \def\name@form##1 ##2\@nil{\gdef\@tempan{##1 \uppercase{##2}}}% + \expandafter\name@form\the\@temptokena\@nil + \expandafter\@temptokena\expandafter{\@tempan}% + \fi + \def\@authorname{\the\@temptokena}% +} + +\newif\if@affinone \@affinonefalse +\def\get@al#1{% + \def\@noaffi{none}\def\@tempaffi{#1}% + \ifx\@noaffi\@tempaffi + \global\@affinonetrue + \else + \@for\get@label:=#1\do{% + \@ifundefined{al@\get@label}% + {% + \global\advance \@alcnt \@ne + \expandafter\xdef\csname al@\get@label\endcsname{\the\@alcnt}% + \global\advance \@tempcnta \@ne + \protected@xdef\plural@affi{\plural@affi + \ifnum\@tempcnta=\@ne + $^{\ieicej@fnsymbol{\csname al@\get@label\endcsname}}$% + \else + $^{,\ieicej@fnsymbol{\csname al@\get@label\endcsname}}$% + \fi + }% + }% + {% + \global\advance \@tempcnta \@ne + \protected@xdef\plural@affi{\plural@affi + \ifnum\@tempcnta=\@ne + $^{\ieicej@fnsymbol{\csname al@\get@label\endcsname}}$% + \else + $^{,\ieicej@fnsymbol{\csname al@\get@label\endcsname}}$% + \fi + }% + }% + }% + \fi +} +\def\plural@affi{} + +\def\get@p@al#1{% + \@for\get@label:=#1\do{% + \@ifundefined{p@al@\get@label}% + {% + \global\advance \p@alcnt \@ne + \expandafter\xdef\csname p@al@\get@label\endcsname{\the\p@alcnt}% + \global\advance \@tempcnta \@ne + \protected@xdef\plural@p@affi{\plural@p@affi + \ifnum\@tempcnta=\@ne + $^{\ieicej@fnsymbol{\csname p@al@\get@label\endcsname}}$% + \else + $^{,\ieicej@fnsymbol{\csname p@al@\get@label\endcsname}}$% + \fi + }% + }% + {% + \global\advance \@tempcnta \@ne + \protected@xdef\plural@p@affi{\plural@p@affi + \ifnum\@tempcnta=\@ne + $^{\ieicej@fnsymbol{\csname p@al@\get@label\endcsname}}$% + \else + $^{,\ieicej@fnsymbol{\csname p@al@\get@label\endcsname}}$% + \fi + }% + }% + }% +} +\def\plural@p@affi{} + +\def\@ae#1#2#3{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \get@al{#3}% + \def\al@none{0}% + \fmt@Jan{#1}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\rlap{\plural@affi}}% + \fmt@Ean{#2}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi}% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% +} + +\def\@aeP#1#2#3[#4]{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \get@al{#3}% + \def\al@none{0}% + \@tempcnta\z@ + \get@p@al{#4}% + \fmt@Jan{#1}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\rlap{\plural@affi\plural@p@affi}% + }% + \fmt@Ean{#2}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi\nobreak\plural@p@affi + }% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% + \def\plural@p@affi{}% +} + +\if@tecrep\else + \if@letter + \font\EA@font=cmr5 + \else + \if@letterpaper + \font\EA@font=cmr6 + \else + \font\EA@font=cmr7 + \fi + \fi +\fi + +\def\email@affi{% + \if@tecrep\else + \ifx\@tempEma\empty\else + $^{\mbox{\EA@font\ieicej@fnsymbol{\the\c@enumiv}}}$% + \fi + \fi +} + +\def\TR@aeNP[#1]#2#3#4{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \GetEma{#1} + \get@al{#4}% + \def\al@none{0}% + \fmt@Jan{#2}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\plural@affi\email@affi + }% + \fmt@Ean{#3}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi\email@affi + }% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% +} + +\def\TR@aeP[#1]#2#3#4[#5]{% + \@tempcnta\z@ + \advance \@authorcnt \@ne + \GetEma{#1}% + \get@al{#4}% + \def\al@none{0}% + \@tempcnta\z@ + \get@p@al{#5}% + \fmt@Jan{#2}% + \expandafter\xdef\csname @Jauthorname\number\@authorcnt\endcsname{% + \@authorname\kern\z@\plural@affi\plural@p@affi\email@affi + }% + \fmt@Ean{#3}% + \expandafter\xdef\csname @Eauthorname\number\@authorcnt\endcsname{% + \@authorname\nobreak\plural@affi\nobreak\plural@p@affi\nobreak\email@affi + }% + \global\@totalnumber=\@authorcnt + \def\plural@affi{}% + \def\plural@p@affi{}% +} + +\if@tecrep + \bgroup + \catcode`@=12\relax + \gdef\GetEma#1{% + \def\tempema{#1}% + \ifx\tempema\empty + \def\tempAnDn{n n.n.n}% + \else + \def\tempa##1@##2\nil{##1 ##2}% + \edef\tempAnDn{\expandafter\tempa\tempema\nil}% + \fi + \ProcessEma + }% + \egroup + + \newcount\tn@dn + + \def\ProcessEma{% + \def\tempa##1 ##2\@nil{% + \@ifundefined{##2} + {\expandafter\gdef\csname ##2\endcsname{##1}% + \advance\tn@dn\@ne + \expandafter\def\csname adrs\number\tn@dn\endcsname{##2}% + }% + {\expandafter\xdef\csname ##2\endcsname{\csname ##2\endcsname,##1}% + }% + }% + \def\get@AnDn{\expandafter\tempa\tempAnDn\@nil}\get@AnDn + } + + \def\fmt@Ema{% + \@tempcntb\z@ + \loop + \ifnum\@tempcntb<\tn@dn %%> + \advance\@tempcntb\@ne + \def\ad@none{n.n.n}% + \expandafter\ifx\csname adrs\number\@tempcntb\endcsname \ad@none + \else + \edef\tmp@An{% + \expandafter\csname \csname adrs\number\@tempcntb\endcsname \endcsname}% + \@tempcnta\z@ + \@for\get@An:=\tmp@An\do{% + \global\advance \@tempcnta \@ne + }% + \protected@xdef\Mail@ddress{% + \ifx\Mail@ddress\empty\else\Mail@ddress,\ \fi + \ifnum\@totalnumber=\@ne + \if@affinone\else + $\ieicej@fnsymbol{\the\@tempcntb}$% + \fi + \else + $\ieicej@fnsymbol{\the\@tempcntb}$% + \fi + \ifnum\@tempcnta=\@ne + \expandafter\csname \csname adrs\number\@tempcntb\endcsname \endcsname + @\csname adrs\number\@tempcntb\endcsname + \else + \{%% \protect + \expandafter\csname \csname adrs\number\@tempcntb\endcsname \endcsname + \}% + @\csname adrs\number\@tempcntb\endcsname + \fi + }% + \gdef\header@ma{E-mail:}% + \fi + \repeat + } + \def\Mail@ddress{} + \def\header@ma{} + + \def\MailAddress#1{\gdef\@MailAddress{#1}} + \def\@MailAddress{} +\else + \setcounter{enumiv}{15}% + \def\GetEma#1{% + \def\@tempEma{#1}% + \ifx\@tempEma\empty\else + \global\advance \c@enumiv \@ne + \let\@fnsymbol\ieicej@fnsymbol + \protected@xdef\@Emadrs{\@Emadrs + \protect\footnotetext[\the\c@enumiv]{E-mail: \protect\texttt{#1}}% + }% + \fi + }% + \def\@Emadrs{} +\fi + +\newcount\@spcnt +\newcount\alignorder +\if@letter + \alignorder=2\relax +\else + \if@paper + \alignorder=4\relax + \else + \alignorder=3\relax +%%\alignorder=4\relax + \fi +\fi + +\if@tecrep + \alignorder=5\relax +\fi + +\def\fmt@Jauthorlist{% + \@tempcnta=\alignorder + \@tempcntb=\alignorder\advance \@tempcntb \@ne + \ifnum \@totalnumber < \@tempcntb %% > + \expandafter\def\csname sp\number\alignorder\endcsname{\relax}% + \else + \advance \@tempcntb \alignorder + \ifnum \@totalnumber < \@tempcntb %% > + \expandafter\def\csname sp\number\alignorder\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\relax}% + \else + \advance \@tempcntb \alignorder + \ifnum \@totalnumber < \@tempcntb %% > + \expandafter\def\csname sp\number\alignorder\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\relax}% + \else + \advance \@tempcntb \alignorder + \ifnum \@totalnumber < \@tempcntb %% > + \expandafter\def\csname sp\number\alignorder\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\relax}% + \else + \advance \@tempcntb \alignorder + \ifnum \@totalnumber < \@tempcntb %% > + \expandafter\def\csname sp\number\alignorder\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\relax}% + \else + \advance \@tempcntb \alignorder + \ifnum \@totalnumber < \@tempcntb %% > + \expandafter\def\csname sp\number\alignorder\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\relax}% + \else + \advance \@tempcntb \alignorder + \expandafter\def\csname sp\number\alignorder\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \advance \@tempcnta \alignorder + \expandafter\def\csname sp\number\@tempcnta\endcsname{\cr}% + \fi + \fi + \fi + \fi + \fi + \fi +} + +\if@tecrep + \def\@outputJauthorlist{% + \fmt@Jauthorlist + \@authorcnt\z@ + \loop\ifnum \@authorcnt < \@totalnumber %% > + \advance \@authorcnt \@ne + \advance \@spcnt \@ne + \@ifundefined{sp\number\@spcnt}% + {\expandafter\def\csname sp\number\@spcnt\endcsname{\hskip\Pauthorsep}}{}% + \let\cr\@par + \xdef\@tempx{\@tempx + \mbox{\csname @Jauthorname\number\@authorcnt\endcsname}% + \csname sp\number\@spcnt\endcsname}% + \repeat + \@tempx + } +\else + \def\@outputJauthorlist{% + \fmt@Jauthorlist + \@authorcnt\z@ + \loop\ifnum \@authorcnt < \@totalnumber %% > + \advance \@authorcnt \@ne + \advance \@spcnt \@ne + \@ifundefined{sp\number\@spcnt}% + {\expandafter\def\csname sp\number\@spcnt\endcsname{&}}{}% + \xdef\@tempx{\@tempx\csname @Jauthorname\number\@authorcnt\endcsname + \csname sp\number\@spcnt\endcsname}% + \repeat + \@tempx + } +\fi + +\def\@tempx{} + +\def\breakauthorline#1{% + \@for\@breakauthor:=#1\do{% + \expandafter\gdef\csname @breakauthorline\@breakauthor\endcsname{\\} + }% + \@authorcnt\z@ + \loop\ifnum \@authorcnt < \@totalnumber %% > + \advance \@authorcnt \@ne + \@ifundefined{@breakauthorline\number\@authorcnt}% + {\expandafter\gdef\csname @breakauthorline\number\@authorcnt\endcsname + {\relax}}{\relax}% + \repeat +} + +\newcount\totalnumberm@ne + +\def\L@outputEauthorlist{% + \def\r@member{{\itshape Member}}% + \def\r@members{{\itshape Members}}% + \def\m@member{{\itshape Member}}% + \def\m@members{{\itshape Members}}% + \def\n@member{{\itshape Nonmember}}% + \def\n@members{{\itshape Nonmembers}}% + \def\a@member{{\itshape Affiliate Member}}% + \def\a@members{{\itshape Affiliate Members}}% + \def\h@member{{\itshape Fellow, Honorary Member}}% + \def\h@members{{\itshape Fellows, Honorary Members}}% + \def\s@member{{\itshape Student Member}}% + \def\s@members{{\itshape Student Members}}% + \def\f@member{{\itshape Fellow}}% + \def\f@members{{\itshape Fellows}}% + \def\no@authormembership{\relax}% + \@authorcnt\z@ + \totalnumberm@ne\@totalnumber \advance \totalnumberm@ne -\@ne + \loop\ifnum \@authorcnt < \@totalnumber %% > + \advance \@authorcnt \@ne + \ifnum \@authorcnt < \totalnumberm@ne %% > + \mbox{\csname @Eauthorname\number\@authorcnt\endcsname + \expandafter\ifx \csname @authormembership\number\@authorcnt\endcsname + \no@authormembership + \else + \nobreak, + \fi + \nobreak\csname @authormembership\number\@authorcnt\endcsname}\nobreak, + \csname @breakauthorline\number\@authorcnt\endcsname + \else + \ifnum \@authorcnt = \@totalnumber + \mbox{\csname @Eauthorname\number\@authorcnt\endcsname + \expandafter\ifx \csname @authormembership\number\@authorcnt\endcsname + \no@authormembership + \else + \nobreak, + \fi + \nobreak\csname @authormembership\number\@authorcnt\endcsname}% + \csname @breakauthorline\number\@authorcnt\endcsname + \else + \mbox{\csname @Eauthorname\number\@authorcnt\endcsname + \expandafter\ifx \csname @authormembership\number\@authorcnt\endcsname + \no@authormembership + \else + \nobreak, + \fi + \nobreak\csname @authormembership\number\@authorcnt\endcsname + \ifnum \@totalnumber=\tw@\ \else , \fi}% + \csname @breakauthorline\number\@authorcnt\endcsname\allowbreak + and\ + \fi + \fi + \repeat +} + +\def\@outputEauthorlist{% + \@authorcnt\z@ + \totalnumberm@ne\@totalnumber \advance \totalnumberm@ne -\@ne + \loop\ifnum \@authorcnt < \@totalnumber %% > + \advance \@authorcnt \@ne + \ifnum \@authorcnt < \totalnumberm@ne %% > + \csname @Eauthorname\number\@authorcnt\endcsname\nobreak , + \csname @breakauthorline\number\@authorcnt\endcsname + \else + \ifnum \@authorcnt = \@totalnumber + \csname @Eauthorname\number\@authorcnt\endcsname + \else + \csname @Eauthorname\number\@authorcnt\endcsname\nobreak + \ifnum \@totalnumber=\tw@\ \else , \fi + \csname @breakauthorline\number\@authorcnt\endcsname + and\ \nobreak + \fi + \fi + \repeat +} + +\newif\if@plural +\newcount\@authorcntp@ne + +%% letter and letter paper +\def\@chkmbrship{% + \the\@authorlist + \@authorcnt \z@ + \@pluralfalse + \loop\ifnum \@authorcnt < \@totalnumber %% > + \advance \@authorcnt \@ne + \@authorcntp@ne=\@authorcnt \advance \@authorcntp@ne \@ne + \if@plural + \edef\@nextmembership{% + \csname @authormembership\number\@authorcntp@ne*\endcsname}% + \else + \edef\@nextmembership{% + \csname @authormembership\number\@authorcntp@ne\endcsname}% + \fi + \expandafter\ifx\csname @authormembership\number\@authorcnt\endcsname + \@nextmembership + \expandafter\gdef\csname @authormembership\number\@authorcnt\endcsname + {\relax}% + \edef\tempauthormembership + {\csname @authormembership\number\@authorcntp@ne*\endcsname}% + \expandafter\let + \csname @authormembership\number\@authorcntp@ne\endcsname + \tempauthormembership \@pluraltrue + \else \@pluralfalse + \fi + \repeat +} + +\newcount\chk@alcnt +\newcount\chk@p@alcnt + +\if@tecrep %%% + \def\affiliate[#1]#2#3{% + \advance \chk@alcnt \@ne + \@ifundefined{al@#1}% + {\expandafter\def\csname al@#1\endcsname{1}% + \ieicej@warning{Check the "#1" label, it does not correspond to + ^^J\space\space any labels in \string\authorentry\space command}% + }{}% + \protected@xdef\J@affiliate{\J@affiliate + $\protect\ieicej@fnsymbol{\csname al@#1\endcsname}$\ #2\\}% + \protected@xdef\E@affiliate{\E@affiliate + $\protect\ieicej@fnsymbol{\csname al@#1\endcsname}$\ #3\\}% + } + \def\J@affiliate{} + \def\E@affiliate{} + + %% 引数を3つに変更 + \def\paffiliate[#1]#2#3{% + \advance \chk@p@alcnt \@ne + \@ifundefined{p@al@#1}% + {\expandafter\def\csname p@al@#1\endcsname{1}% + \ieicej@warning{Check the "#1" label, it does not correspond to + ^^J\space\space any labels in \string\authorentry\space command} + }{}% + \protected@xdef\Jp@affiliate{\Jp@affiliate + $\protect\ieicej@fnsymbol{\csname p@al@#1\endcsname}$\ #2}% + \protected@xdef\Ep@affiliate{\Ep@affiliate + $\protect\ieicej@fnsymbol{\csname p@al@#1\endcsname}$\ #3}% + } + \def\Jp@affiliate{} + \def\Ep@affiliate{} +\else %%% + \def\affiliate[#1]#2#3{% + \advance \chk@alcnt \@ne + \@ifundefined{al@#1}% + {\expandafter\def\csname al@#1\endcsname{1}% + \ieicej@warning{Check the "#1" label, it does not correspond to + ^^J\space\space any labels in \string\authorentry\space command}% + }{}% + %% \let\@fnsymbol\ieicej@fnsymbol %% \show + \protected@xdef\@affiliate{\@affiliate + \protect\footnotetext[\csname al@#1\endcsname]{#2\hfil\break #3}}% + } + \def\@affiliate{} + + \def\paffiliate[#1]#2{% + \advance \chk@p@alcnt \@ne + \@ifundefined{p@al@#1}% + {\expandafter\def\csname p@al@#1\endcsname{1}% + \ieicej@warning{Check the "#1" label, it does not correspond to + ^^J\space\space any labels in \string\authorentry\space command} + }{}% + %% \let\@fnsymbol\ieicej@fnsymbol %% \show + \protected@xdef\p@affiliate{\p@affiliate + \protect\footnotetext[\csname p@al@#1\endcsname]{#2}}% + } + \def\p@affiliate{} +\fi %%% + +\newbox\eabstractbox +\newbox\ekeywordbox +\def\eabstract{\global\setbox\eabstractbox=\hbox\bgroup + \if@tecrep + \large + \else + \normalsize + \fi + {\bfseries Abstract\hskip1zw}\ignorespaces} +\def\endeabstract{\egroup} + +\def\ekeyword{\global\setbox\ekeywordbox=\hbox\bgroup + \if@tecrep + \large + \else + \normalsize + \fi + {\bfseries Key words\hskip1zw}\ignorespaces} +\def\endekeyword{\egroup} + +\newdimen\Pauthorsep + \Pauthorsep 7.5mm % 15Qx2zw + +\def\titlepagebaselinestretch#1{\gdef\@titlepagebaselinestretch{#1}} +\titlepagebaselinestretch{1} + +\def\jsubtitle#1{\gdef\@jsubtitle{#1}} +\def\@jsubtitle{} +\def\esubtitle#1{\gdef\@esubtitle{#1}} +\def\@esubtitle{} + +\if@tecrep %%% technicalreport + \def\maketitle{\par + \begingroup + \ifnum \chk@alcnt < \@alcnt %% > + \ieicej@warning{information of \string\affiliate\space is not assigned}% + \fi + \advance \p@alcnt -9\relax + \ifnum \chk@p@alcnt < \p@alcnt %% > + \ieicej@warning{information of \string\paffiliate\space is not assigned}% + \fi + \def\@fnsymbol##1{\ifcase##1 \or + \dag\or + \dag\dag\or + \dag\dag\dag\or + \dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\dag\dag\dag\or + *\or **\or ***\or ****\or *****\or ******\else\@ctrerr\fi\relax}% + \def\thefootnote{\fnsymbol{footnote}}% + \if@twocolumn + \twocolumn[\@maketitle]% + \else + \ieicej@warning{I don't recommend onecolumn option, + ^^J\space\space because of no compatibility with technicalreport option}% + \@maketitle + \fi + \endgroup + \let\maketitle\relax + \let\@maketitle\relax + \gdef\@affiliate{}\gdef\p@affiliate{} + \gdef\@jtitle{}\gdef\@etitle{} + \gdef\@jsubtitle{}\gdef\@esubtitle{} + \let\affiliate\relax\let\paffiliate\relax + \@authorlist={}% + \let\jkeyword\relax\let\jabstract\relax + \let\ekeyword\relax\let\eabstract\relax + \let\@outputJauthorlist\relax\let\@outputEauthorlist\relax + \let\@aeP\relax + \let\@ae\relax + \let\TR@ae\relax + \let\N@ae\relax + \let\TR@aeP\relax + \let\TR@aeNP\relax + \let\breakauthorline\relax + \@authorcnt \z@ + \loop\ifnum \the\@authorcnt < \the\@totalnumber %% > + \advance \@authorcnt \@ne + \expandafter\let\csname @Jauthorname\number\@authorcnt\endcsname\relax + \expandafter\let\csname @Eauthorname\number\@authorcnt\endcsname\relax + \repeat + } + + \def\@maketitle{% + \setbox\@tempboxa\vbox{% + \def\baselinestretch{\@titlepagebaselinestretch}% + \hskip8mm + \vtop{\footnotesize\baselineskip3mm + \hbox{社団法人\hskip1zw 電子情報通信学会}% + \hbox{THE INSTITUTE OF ELECTRONICS,}% + \hbox{INFORMATION AND COMMUNICATION ENGINEERS}% + }\hfill + \vtop{\footnotesize\baselineskip3mm + \hbox{信学技報}% + \hbox{TECHNICAL REPORT OF IEICE.}% + \hbox{}% + }\hskip8mm\hbox{}\par + \vskip\baselineskip + \bgroup + \centering + {\fontsize{16}{23}\selectfont + \@jtitle\par + }% + \vskip.25\baselineskip + \ifx\@jsubtitle\empty + \else + {\huge + \@jsubtitle\par + }% + \vskip.25\baselineskip + \fi + {\LARGE + \@outputJauthorlist\par + }% + \vskip.5\baselineskip + {\fontsize{10.5}{15}\selectfont + \J@affiliate\par + \Jp@affiliate\par + \ifx\@MailAddress\empty + \fmt@Ema + \ifx\header@ma\empty + \vskip.5\baselineskip + \else + E-mail: \Mail@ddress\par + \vskip.5\baselineskip + \fi + \else + E-mail: \@MailAddress + \vskip.5\baselineskip + \fi + }% + \egroup + \bgroup\large + \leavevmode + \unhbox\jabstractbox\par + \nointerlineskip + \vskip\baselineskip + \vskip-1zh + \vskip0pt + \leavevmode + \unhbox\jkeywordbox\par + \egroup + %% + \vskip1.5\baselineskip + \bgroup + \centering + {\fontsize{16}{23}\selectfont + \@etitle\par + }% + \vskip.25\baselineskip + \ifx\@esubtitle\empty + \else + {\huge + \@esubtitle\par + }% + \vskip.25\baselineskip + \fi + {\LARGE + \hyphenpenalty=10000\relax + \@outputEauthorlist\par + }% + \vskip.5\baselineskip + {\fontsize{10.5}{15}\selectfont + \E@affiliate\par + \Ep@affiliate\par + \ifx\@MailAddress\empty + \ifx\header@ma\empty + \vskip.5\baselineskip + \else + E-mail: \Mail@ddress\par + \vskip.5\baselineskip + \fi + \else + E-mail: \@MailAddress + \vskip.5\baselineskip + \fi + }% + \egroup + \bgroup\large + \leavevmode \unhbox\eabstractbox\par + \nointerlineskip + \vskip\baselineskip + \vskip-1zh + \vskip0pt + \leavevmode \unhbox\ekeywordbox + \egroup + \vskip\baselineskip + }% + \@tempdima\ht\@tempboxa + \advance \@tempdima \dp\@tempboxa %% < + \ifdim \@tempdima>\textheight + \ieicej@warning{The title page is too high. + ^^J\space\space You can adjust the height of a title page + ^^J\space\space by changing \string\titlepagebaselinestretch\space + in preamble. + ^^J\space\space For example, \string\titlepagebaselinestretch{0.9}}% + {\parindent\z@ + \vtop to \z@{% + \vbox to \textheight{% + \unvbox\@tempboxa + }\vss + }% + }\par + \clearpage + \else + \divide \@tempdima \Cvs + \@tempcnta=\@tempdima + \advance \@tempcnta \@ne + \vbox to \@tempcnta\Cvs{% + \box\@tempboxa\vss + }% + \fi + } + + \newbox\jabstractbox + \newbox\jkeywordbox + + \def\jabstract{\global\setbox\jabstractbox\hbox\bgroup + \large + {\bfseries あらまし\hskip1zw}\ignorespaces} + \def\endjabstract{\egroup} + + \def\jkeyword{\global\setbox\jkeywordbox\hbox\bgroup + \large + {\bfseries キーワード\hskip1zw}\ignorespaces} + \def\endjkeyword{\egroup} + + \let\abstract\jabstract + \let\endabstract\endjabstract + \let\keyword\jkeyword + \let\endkeyword\endjkeyword + +\else %%% + + \if@letter + \def\abstract{\parindent\z@ + \hspace*{1zw}{\bfseries あらまし\hskip1zw}\ignorespaces} + \def\endabstract{\par\ignorespaces} + + \def\keyword{\parindent\z@ + \hspace*{1zw}{\bfseries キーワード\hskip1zw}\ignorespaces} + \def\endkeyword{\par} + \else + \newbox\abstractbox + \newbox\keywordbox + \def\abstract{\global\setbox\abstractbox=\hbox\bgroup + \begin{minipage}[t]{137.5mm}%11Q 50zw + \Small\hskip1zw{\bfseries あらまし\hskip1zw}\ignorespaces} + \def\endabstract{\end{minipage}\egroup} + + \def\keyword{\global\setbox\keywordbox=\hbox\bgroup + \begin{minipage}[t]{137.5mm}%11Q 50zw + \Small\hskip1zw{\bfseries キーワード\hskip1zw}\ignorespaces} + \def\endkeyword{\end{minipage}\egroup} + \fi + + \let\jabstract\abstract + \let\endjabstract\endabstract + \let\jkeyword\keyword + \let\endjkeyword\endkeyword + + \newdimen\Lauthorsep + %% \Lauthorsep 4.125mm % 11Qx1.5zw + \Lauthorsep 5.5mm % 11Qx2zw + \newdimen\LPauthorsep + %% \LPauthorsep 3mm % 12Qx1zw + \LPauthorsep 6mm % 12Qx2zw + %%\newdimen\Pauthorsep + %% \Pauthorsep 7.5mm % 15Qx2zw + + \def\makeLtitle{\par + \global\@topnum\z@ + \begingroup + \ifnum \chk@alcnt < \@alcnt %% > + \ieicej@warning{information of \string\affiliate\space is not assigned}% + \fi + \advance \p@alcnt -9\relax + \ifnum \chk@p@alcnt < \p@alcnt %% > + \ieicej@warning{information of \string\paffiliate\space is not assigned}% + \fi + \long\def\@makefntext##1{% << + \ifnum \p@alcnt > \@alcnt + \ifnum \p@alcnt > \thr@@ + \@tempdima=\p@alcnt zw + \divide \@tempdima \tw@ + \advance \@tempdima .75zw + \else + \@tempdima=2zw + \fi + \else %% < + \ifnum \@alcnt > \thr@@ + \@tempdima=\@alcnt zw + \divide \@tempdima \tw@ + \advance \@tempdima .75zw + \else + \@tempdima=2zw + \fi + \fi + \@tempdimb=\columnwidth + \global\advance \@tempdimb -\@tempdima %% 02 + \everypar={\hangindent=\@tempdima \hangafter=1\relax}% + \parindent\@tempdima + \noindent + \if@tempswa + \hbox to \@tempdima{\hss + \@thefnmark\ }\parbox[t]{\@tempdimb}{##1\strut}% + \else + \hbox to \@tempdima{\hss + $^{\@thefnmark}$\,}\parbox[t]{\@tempdimb}{##1\strut}% + \fi + }% + \def\thefootnote{\fnsymbol{footnote}}% + \def\@fnsymbol##1{\ifcase##1 \or + \dag\or + \dag\dag\or + \dag\dag\dag\or + \dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\dag\dag\or + \dag\dag\dag\dag\dag\dag\dag\dag\dag\or + *\or **\or ***\or ****\or *****\or ******\or %% (((((((((((((((((((( + a)\or b)\or c)\or d)\or e)\or f)\or g)\or h)\or i)\or j)\or + k)\or l)\or m)\or n)\or o)\or p)\or q)\or r)\or s)\or t)\else + \@ctrerr\fi\relax}% + \skip\@mpfootins=2.75mm \@plus .25mm \@minus \z@ + \noindent + \begin{minipage}{\columnwidth}% + \@makeLtitle + \@tempswafalse + \@affiliate + \p@affiliate + \@tempswatrue + \@Emadrs + \end{minipage}\par + \vskip23\@Q \@plus 18\@Q \@minus 1\@Q + \thispagestyle{ieicej}% + \endgroup + \let\makeLtitle\relax + \let\@makeLtitle\relax + \gdef\@affiliate{}\gdef\p@affiliate{}% + \gdef\@jtitle{}\gdef\@etitle{}% + \let\affiliate\relax\let\paffiliate\relax + \@authorlist={}% + \let\@outputJauthorlist\relax\let\L@outputEauthorlist\relax + \let\L@aeP\relax + \let\L@ae\relax + \let\breakauthorline\relax + \@authorcnt\z@ + \loop\ifnum \the\@authorcnt < \the\@totalnumber %% > + \advance \@authorcnt \@ne + \expandafter\let\csname @Jauthorname\number\@authorcnt\endcsname\relax + \expandafter\let\csname @Eauthorname\number\@authorcnt\endcsname\relax + \repeat + } + + \def\@makeLtitle{\newpage + \bgroup + \null\parindent\z@ + \tabcolsep\z@ + \linethickness{0.1mm}% + \vskip3.75mm + {\bfseries\mathversion{bold}\baselineskip18\@Q + \@jtitle\par + } + {\Small + \tabcolsep\Lauthorsep + \begin{tabular}{@{}ll@{}} + \@outputJauthorlist + \end{tabular}\par + } + \nointerlineskip + \vskip4\@Q + {\footnotesize + \@etitle\par + } + \vskip3\@Q + {\footnotesize + \parbox[t]{\columnwidth}{\raggedright\baselineskip3.25mm + \hyphenpenalty=10000\relax + \L@outputEauthorlist}\par + } + \egroup + } + + \def\maketitle{\par + \begingroup + \ifnum \chk@alcnt < \@alcnt %% > + \ieicej@warning{information of \string\affiliate\space is not assigned}% + \fi + \advance \p@alcnt -9\relax + \ifnum \chk@p@alcnt < \p@alcnt %% > + \ieicej@warning{information of \string\paffiliate\space is not assigned}% + \fi + \twocolumn[\csname @make\@type title\endcsname] + \thispagestyle{ieicej}% + \def\thefootnote{\fnsymbol{footnote}}% + \long\def\@makefntext##1{%% << + \ifnum \p@alcnt > \@alcnt + \ifnum \p@alcnt > \thr@@ + \@tempdima=\p@alcnt zw + \divide \@tempdima \tw@ + \advance \@tempdima .75zw + \else + \@tempdima=2zw + \fi + \else %% < + \ifnum \@alcnt > \thr@@ + \@tempdima=\@alcnt zw + \divide \@tempdima \tw@ + \advance \@tempdima .5zw + \else + \@tempdima=2zw + \fi + \fi + \everypar={\hangindent=\@tempdima \hangafter=1\relax}% + \parindent\@tempdima + \noindent + \if@tempswa + \hbox to \@tempdima{\hss \@thefnmark\ }##1% + \else + \hbox to \@tempdima{\hss $^{\@thefnmark}$\,}##1% + \fi + }% + \@tempswafalse + \@affiliate + \p@affiliate + \@tempswatrue + \@Emadrs + \endgroup + \let\maketitle\relax + \expandafter\let\csname @make\@type title\endcsname\relax + \gdef\@affiliate{}\gdef\p@affiliate{} + \gdef\@jtitle{}\gdef\@etitle{} + \let\affiliate\relax\let\paffiliate\relax + \@authorlist={} + \let\keyword\relax\let\abstract\relax + \let\@outputJauthorlist\relax\let\@outputEauthorlist\relax + \let\L@outputEauthorlist\relax + \let\@aeP\relax + \let\@ae\relax + \let\L@aeP\relax + \let\L@ae\relax + \let\breakauthorline\relax + \@authorcnt \z@ + \loop\ifnum \the\@authorcnt < \the\@totalnumber %% > + \advance \@authorcnt \@ne + \expandafter\let\csname @Jauthorname\number\@authorcnt\endcsname\relax + \expandafter\let\csname @Eauthorname\number\@authorcnt\endcsname\relax + \repeat + } + + \def\ADJ#1{\gdef\@ADJ{#1}} + \def\@ADJ{} + \ADJ{0mm} + + %% paper + \def\@makePtitle{% + \setbox\@tempboxa\hbox{% + \begin{minipage}{137.5mm}% 151.5 - 14 + \vskip4.5mm + \parindent\z@ + \tabcolsep\z@ + \linethickness{0.1mm}% + \baselineskip33\@Q + {\LARGE + \@jtitle + }\par + \vskip11\@Q + {\Large + \tabcolsep\Pauthorsep + \begin{tabular}{@{}llll@{}} + \@outputJauthorlist + \end{tabular}\par + }% + \nointerlineskip + \vskip1mm + \Large\baselineskip24\@Q + \vskip14\@Q + \@etitle\par + \vskip8\@Q + {\large\baselineskip21\@Q + \parbox[t]{137.5mm}{\raggedright\baselineskip5.25mm + \hyphenpenalty=10000\relax + \@outputEauthorlist}\par + }% + \vskip35\@Q + \hfill\box\abstractbox\par + \vskip4\@Q + \hfill\box\keywordbox + \end{minipage}% + }% + \@tempdima\ht\@tempboxa + \advance \@tempdima \dp\@tempboxa + \divide \@tempdima \Cvs + \@tempcnta=\@tempdima + \advance \@tempcnta \thr@@ + {\newpage\null + \boxmaxdepth\z@ + \lineskiplimit\z@ + \lineskip\z@ + \parindent\z@ + \vbox to \@tempcnta\Cvs{% + \hskip14mm\box\@tempboxa + \vss}% + }\par + \vspace{\@ADJ}% + \setcounter{footnote}{0}% + } + + %% letterpaper + \def\@makeLPtitle{% + \setbox\@tempboxa\hbox{% + \begin{minipage}{137.5mm}% 151.5 - 14 + \vskip5mm + \parindent\z@ + \tabcolsep\z@ + \linethickness{0.1mm}% + {\jtitlefont@LP + \@jtitle\par + }% + \vskip11\@Q + {\jauthorfont@LP + \tabcolsep\LPauthorsep + \begin{tabular}{@{}llll@{}} + \@outputJauthorlist + \end{tabular} + }% + \vskip12\@Q + {\etitlefont@LP + \@etitle\par + }% + \vskip2\@Q + {\eauthorfont@LP + \parbox[t]{137.5mm}{\raggedright\baselineskip14\@Q + \hyphenpenalty=10000\relax + \L@outputEauthorlist}\par + }% + \nointerlineskip + \vskip23\@Q + \hfill\box\abstractbox\par + \vskip3\@Q + \hfill\box\keywordbox\par + \end{minipage}% + }% + \@tempdima\ht\@tempboxa + \advance \@tempdima \dp\@tempboxa + \divide \@tempdima \Cvs + \@tempcnta=\@tempdima + \advance \@tempcnta \tw@ + {\newpage\null + \boxmaxdepth\z@ + \lineskiplimit\z@ + \lineskip\z@ + \parindent\z@ + \vbox to \@tempcnta\Cvs{% + \hskip14mm\box\@tempboxa + \vss}% + }\par + \vspace{\@ADJ}% + \setcounter{footnote}{0}% + } + + %% LP (letterpaper) + \def\jtitlefont@LP{% + \fontsize{16\@JQ}{24\@Q}\bfseries\selectfont + \mathversion{bold}% + } + \def\etitlefont@LP{% + \normalsize\rmfamily\baselineskip14\@Q + } + \let\eauthorfont@LP\etitlefont@LP + \def\jauthorfont@LP{% + \normalsize\baselineskip20\@Q + } + + \if@letter + \let\maketitle\makeLtitle + \let\@aeP\relax + \let\@ae\relax + \let\@makePtitle\relax + \let\@makeLPtitle\relax + \let\@outputEauthorlist\relax + \fi + + \if@paper + \let\L@aeP\relax + \let\L@ae\relax + \let\makeLtitle\relax + \let\@makeLtitle\relax + \let\@makeLPtitle\relax + \let\L@outputEauthorlist\relax + \fi + + \if@letterpaper + \let\@aeP\relax + \let\@ae\relax + \let\makeLtitle\relax + \let\@makeLtitle\relax + \let\@makePtitle\relax + \let\@outputEauthorlist\relax + \fi + +\fi %%% + +\setcounter{secnumdepth}{5} +\newcounter{section} +\newcounter{subsection}[section] +\newcounter{subsubsection}[subsection] +\newcounter{paragraph}[subsubsection] +\newcounter{subparagraph}[paragraph] +\renewcommand{\thesection}{\@arabic\c@section.} +\renewcommand{\thesubsection}{\thesection\,\@arabic\c@subsection} +\renewcommand{\thesubsubsection}{% + \thesubsection.\,\@arabic\c@subsubsection} +\renewcommand{\theparagraph}{% ( + \@alph\c@paragraph\,)} +\renewcommand{\thesubparagraph}{% ( + \@roman\c@subparagraph\,)} + +\def\@afterheading{% + \global\@nobreaktrue + \everypar{% + \if@nobreak + \global\@nobreakfalse + \clubpenalty \z@ + \if@afterindent + \else + {\setbox\z@=\lastbox}% + \fi + \else + \clubpenalty\@clubpenalty + \everypar{}% + \fi}% +} + +\def\@startsection#1#2#3#4#5#6{\if@noskipsec \leavevmode \fi + \par \@tempskipa #4\relax + \@afterindenttrue + \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi %% > + \if@nobreak + \everypar{}% + \else + \addpenalty\@secpenalty + \ifnum #2=\@ne + \vskip-\prevdepth \prevdepth\z@ \vskip\Cvs + \advance\@tempskipa-\Cvs \vspace*{\@tempskipa}% + \else + \addvspace\@tempskipa + \fi + \fi + \@ifstar{\@ssect{#3}{#4}{#5}{#6}}{\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}} + +%% \@sect{NAME}{LEVEL}{INDENT}{BEFORESKIP}{AFTERSKIP}{STYLE}[ARG1]{ARG2} +\def\@sect#1#2#3#4#5#6[#7]#8{%% < + \ifnum #2>\c@secnumdepth + \let\@svsec\@empty + \else + \refstepcounter{#1}% + \protected@edef\@svsec{\@seccntformat{#1}\relax}% + \fi + \@tempskipa #5\relax %% < + \ifdim \@tempskipa>\z@ + \begingroup + #6{% + \@hangfrom{\hskip #3\relax{\csname #2@font\endcsname \@svsec}}% + \interlinepenalty \@M \@secjidori{#8}\@@par}% + \endgroup + \else + \def\@svsechd{% + #6{\hskip #3\relax + \@svsec #8}}% + \fi + \@xsect{#5}} + +%% \@ssect{INDENT}{BEFORESKIP}{AFTERSKIP}{STYLE}{ARG} == +\def\@ssect#1#2#3#4#5{% + \@tempskipa #3\relax %% < + \ifdim \@tempskipa>\z@ + \begingroup + #4{% + \@hangfrom{\hskip #1}% + \interlinepenalty \@M \@secjidori{#5}\@@par}% + \endgroup + \else + \def\@svsechd{#4{\hskip #1\relax #5}}% + \fi + \@xsect{#3}} + +\def\@secjidori#1{% + \def\@tempfn{}% + \def\@tempfncnt{}% + \bgroup + \def\footnote{\@ifnextchar[% ] + {\@ignorefn}{\@ignorefn[]}}% + \long\def\@ignorefn[##1]##2{\gdef\@tempfncnt{##1}\gdef\@tempfn{##2}}% + \global\setbox\@tempboxb\hbox{\inhibitglue #1}% + \egroup %% < + \ifdim \wd\@tempboxb>4.5zw + \inhibitglue #1% + \else + \def\@makefnmark{\kern0pt\hbox to \z@{% + $^{\mbox{\tiny \kern-.5zw （注\@thefnmark{}）\kern-.5zw}}$\hss}}% + \kanjiskip\z@ \@plus 1fill \@minus 1fill\xkanjiskip=\kanjiskip + \jmathkanjiskip=\kanjiskip + \hbox to 5zw{\inhibitglue #1\hfil}% + \ifx\@tempfn\empty\else + \ifx\@tempfncnt\empty\footnotetext{\@tempfn}\else + \footnotetext[\@tempfncnt]{\@tempfn} + \fi\fi + \fi +} + +\@namedef{3@font}{\bfseries} +\def\@seccntformat#1{\csname the#1\endcsname\hskip1zw} + +\if@tecrep + \def\sec@font{\bfseries\mathversion{bold}\baselineskip20.5\@Q} +\else + \DeclareFixedFont{\KFsec}{JY1}{gt}{m}{n}{14\@JQ} + \def\sec@font{\bfseries\KFsec\mathversion{bold}\baselineskip19\@Q} +\fi + +\if@letter + \newcommand{\section}{\@startsection{section}{1}{1zw}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {\reset@font\normalsize\bfseries\mathversion{bold}}} +\else + \newcommand{\section}{\@startsection{section}{1}{1zw}% + {.5\Cvs \@plus.1mm \@minus.1mm}% + {.5\Cvs \@plus.1mm \@minus.1mm}% + {\reset@font\Large\sec@font}} +\fi + \newcommand{\subsection}{\@startsection{subsection}{2}{1zw}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {\reset@font\normalsize\bfseries\mathversion{bold}}} + \newcommand{\subsubsection}{\@startsection{subsubsection}{3}{1zw}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {\reset@font\normalsize}} +\newcommand{\paragraph}{\@startsection{paragraph}{4}{1zw}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {\reset@font\normalsize}} +\newcommand{\subparagraph}{\@startsection{subparagraph}{5}{1zw}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {.00001\Cvs \@plus.1mm \@minus.1mm}% + {\reset@font\normalsize}} + +\newcommand{\appendix}{\par + \renewcommand{\section}{\@startsection{section}{1}{\z@} + {.5\Cvs \@plus.1mm \@minus.1mm} + {.5\Cvs \@plus.1mm \@minus.1mm} + {\if@letter\centering\bfseries\else\centering\Large\sec@font\fi}}% + \section*{付録} + \renewcommand{\section}{\@startsection{section}{1}{1zw} + {.00001\Cvs \@plus.1mm \@minus.1mm} + {.00001\Cvs \@plus.1mm \@minus.1mm} + {\normalsize\bfseries\mathversion{bold}}}% + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \setcounter{equation}{0}% + \setcounter{figure}{0}% + \setcounter{table}{0}% + \def\theequation{\protect\mbox{A$\cdot$\@arabic\c@equation}}% + \def\thefigure{A$\cdot$\,\@arabic\c@figure}% + \def\thetable{A$\cdot$\,\@arabic\c@table}% +} + +\if@twocolumn + \setlength\leftmargini {2zw}% +\else + \setlength\leftmargini {2zw}% +\fi +\setlength\leftmarginii {2zw}% +\setlength\leftmarginiii {2zw}% +\setlength\leftmarginiv {2zw}% +\if@twocolumn + \setlength\leftmarginv {1zw}% + \setlength\leftmarginvi{1zw}% +\else + \setlength\leftmarginv {1zw}% + \setlength\leftmarginvi{1zw}% +\fi +\setlength \labelsep {1zw}% +\setlength \labelwidth{\leftmargini} +\addtolength\labelwidth{-\labelsep} +\@beginparpenalty -\@lowpenalty +\@endparpenalty -\@lowpenalty +\@itempenalty -\@lowpenalty + +\renewcommand{\theenumi}{\@arabic\c@enumi} +\renewcommand{\theenumii}{\@alph\c@enumii} +\renewcommand{\theenumiii}{\@roman\c@enumiii} +\renewcommand{\theenumiv}{\@Alph\c@enumiv} +\newcommand{\labelenumi}{\kern-.5zw （\,\theenumi\,）\kern-.5zw} +\newcommand{\labelenumii}{\kern-.5zw （\,\theenumii\,）\kern-.5zw} +\newcommand{\labelenumiii}{\theenumiii.} +\newcommand{\labelenumiv}{\theenumiv.} +\renewcommand{\p@enumii}{\theenumi} +\renewcommand{\p@enumiii}{\theenumi(\theenumii)} +\renewcommand{\p@enumiv}{\p@enumiii\theenumiii} + +\renewenvironment{enumerate} + {%% < + \ifnum \@enumdepth >3\relax\@toodeep\else + \advance\@enumdepth\@ne + \edef\@enumctr{enum\romannumeral\the\@enumdepth}% + \list{\csname label\@enumctr\endcsname}{% + \leftmargin\z@ + \labelwidth2zw + \labelsep1zw + \itemindent4zw + \listparindent1zw + \topsep\z@\parsep\z@\partopsep\z@\itemsep\z@ + \clubpenalty-200 + \usecounter{\@enumctr}% + \def\makelabel##1{\hss\llap{##1}}}% + \fi}{\endlist} + +\newcommand{\labelitemi}{\leavevmode + \raise.1zh\hbox to 1zw{\hss \textbullet\hss}} +\newcommand{\labelitemii}{{\normalfont\bfseries\textendash}} +\newcommand{\labelitemiii}{\textasteriskcentered} +\newcommand{\labelitemiv}{\textperiodcentered} + +\renewenvironment{itemize} + {%% < + \ifnum \@itemdepth >3\relax\@toodeep\else + \advance\@itemdepth\@ne + \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}% +%% \expandafter + \list{\csname \@itemitem\endcsname}{% + \topsep\z@\parsep\z@\partopsep\z@\itemsep\z@ + \leftmargin\z@ + \labelwidth1zw + \labelsep1zw + \itemindent3zw + \listparindent1zw + \clubpenalty-200\relax + \def\makelabel##1{\hss\llap{##1}}}% + \fi}{\endlist} + +\def\descriptionlabel#1{\hspace\labelsep #1} +\newenvironment{description}{% + \list{}{% + \leftmargin\z@ + \labelsep1zw + \labelwidth\z@ + \itemindent-\leftmargin + \listparindent1zw + \topsep\z@\parsep\z@\partopsep\z@\itemsep\z@ + \let\makelabel\descriptionlabel}}{\endlist} + +\newskip\@hlskip +\@hlskip.5\Cvs \@plus 1mm \@minus .5mm + +\newenvironment{verse} + {\let\\\@centercr + \list{}{\itemsep\z@ + \topsep\@hlskip\parsep\z@\partopsep\z@ + \itemindent -1zw + \listparindent\itemindent + \rightmargin\leftmargin \advance\leftmargin 1zw}% + \item\relax}{\endlist} + +\newenvironment{quotation} + {\list{}{\listparindent 1zw + \itemindent\listparindent + \rightmargin\leftmargin + \topsep\@hlskip\parsep\z@\partopsep\z@ + }% + \item\relax}{\endlist} + +\newenvironment{quote} + {\list{}{% + \topsep\@hlskip\parsep\z@\partopsep\z@ + \rightmargin\leftmargin}% + \item\relax}{\endlist} + +\gdef\tabbing{\lineskip \z@skip\let\>\@rtab\let\<\@ltab\let\=\@settab + \let\+\@tabplus\let\-\@tabminus\let\`\@tabrj\let\'\@tablab + \let\\=\@tabcr + \@hightab\@firsttab + \global\@nxttabmar\@firsttab + \dimen\@firsttab\@totalleftmargin + \global\@tabpush\z@ \global\@rjfieldfalse + \topsep\@hlskip \parsep\z@\partopsep\z@ + \trivlist \item\relax + \if@minipage\else\vskip\parskip\fi + \setbox\@tabfbox\hbox{% + \rlap{\hskip\@totalleftmargin\indent\the\everypar}}% + \def\@itemfudge{\box\@tabfbox}% + \@startline\ignorespaces} + +\newdimen\verbatimleftmargin + \verbatimleftmargin\z@ +\newdimen\verbatimbaselineskip + \verbatimbaselineskip\Cvs +\def\verbatimsize{\normalsize} + +\def\@verbatim{% + \topsep\z@\partopsep\z@\parsep\z@\itemsep\z@ + \trivlist \item\relax + \if@minipage\else + \vskip\baselineskip + \vskip-\verbatimbaselineskip + \fi + \leftskip\@totalleftmargin + \if@minipage\else + \advance \leftskip by \verbatimleftmargin + \fi + \rightskip\z@skip + \parindent\z@\parfillskip\@flushglue\parskip\z@skip + \@@par + \@tempswafalse + \def\par{% + \if@tempswa + \leavevmode \null \@@par\penalty\interlinepenalty + \else + \@tempswatrue + \ifhmode\@@par\penalty\interlinepenalty\fi + \fi}% + \let\do\@makeother \dospecials + \obeylines + \verbatimsize \baselineskip\verbatimbaselineskip + \ttfamily \@noligs + \everypar \expandafter{\the\everypar \unpenalty}% +} + +%% from latex.ltx +%% v1.3 +\def\@item[#1]{% + \if@noparitem + \@donoparitem + \else + \if@inlabel + \indent \par + \fi + \ifhmode + \unskip\unskip \par + \fi + \if@newlist + \if@nobreak + \@nbitem + \else + \addpenalty\@beginparpenalty + \addvspace\@topsep + \addvspace{-\parskip}% + \fi + \else + \addpenalty\@itempenalty + \addvspace\itemsep + \fi + \global\@inlabeltrue + \fi + \everypar{% + \@minipagefalse + \global\@newlistfalse + \if@inlabel + \global\@inlabelfalse + {\setbox\z@\lastbox + \ifvoid\z@ + \kern-\itemindent + \fi}% + \box\@labels + \penalty\z@ + \fi + \if@nobreak + \@nobreakfalse + \clubpenalty\z@ %\@M --> \z@ + \else + \clubpenalty \@clubpenalty + \everypar{}% + \fi}% + \if@noitemarg + \@noitemargfalse + \if@nmbrlist + \refstepcounter\@listctr + \fi + \fi + \sbox\@tempboxa{\makelabel{#1}}% + \global\setbox\@labels\hbox{% + \unhbox\@labels + \hskip \itemindent + \hskip -\labelwidth + \hskip -\labelsep + \ifdim \wd\@tempboxa >\labelwidth + \box\@tempboxa + \else + \hbox to\labelwidth {\unhbox\@tempboxa}% + \fi + \hskip \labelsep}% + \ignorespaces\inhibitglue +} + +\newcounter{figure} +\renewcommand{\thefigure}{\@arabic\c@figure} +\def\fps@figure{tbp} +\def\ftype@figure{1} +\def\ext@figure{lof} +\def\fnum@figure{\figurename~\thefigure} +\def\fnum@efigure{Fig.\,\thefigure} +\newenvironment{figure} + {\@floatenv + \if@tecrep\capwidth\hsize\ecapwidth\hsize\else + \capwidth65mm\ecapwidth65mm\fi + \abovecaptionskip1mm\belowcaptionskip\z@\@float{figure}} + {\end@float} +\newenvironment{figure*} + {\@floatenv\capwidth.66\textwidth\ecapwidth.66\textwidth + \abovecaptionskip1mm\belowcaptionskip\z@\@dblfloat{figure}} + {\end@dblfloat} +\newcounter{table} +\renewcommand{\thetable}{\@arabic\c@table} +\def\fps@table{tbp} +\def\ftype@table{2} +\def\ext@table{lot} +\def\fnum@table{\tablename~\thetable} +\def\fnum@etable{Table~\thetable} +\newenvironment{table} + {\@floatenv + \if@tecrep\capwidth\hsize\ecapwidth\hsize\else + \capwidth65mm\ecapwidth65mm\fi + \abovecaptionskip\z@\belowcaptionskip3pt\@float{table}} + {\end@float} +\newenvironment{table*} + {\@floatenv\capwidth.66\textwidth\ecapwidth.66\textwidth + \abovecaptionskip\z@\belowcaptionskip3pt\@dblfloat{table}} + {\end@dblfloat} +\def\@floatboxreset {% + \reset@font + \small\tabcolsep.5zw + \@setminipage +} +\def\@floatenv{\let\center\Center} + +\def\Center{\topsep\z@\parsep\z@\partopsep\z@\itemsep\z@ + \trivlist \centering\item\relax} +\def\endCenter{\endtrivlist} + +\long\def\@caption#1[#2]#3{\par + \begingroup + \@parboxrestore + \if@minipage + \@setminipage + \fi + \small + \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par + \endgroup} + +\newlength\abovecaptionskip +\newlength\belowcaptionskip + +\newbox\@tempboxb +\newdimen\capwidth +\newdimen\ecapwidth + +\long\def\@makecaption#1#2{% + \vskip\abovecaptionskip + \setbox\@tempboxa\hbox{#1\hskip1zw\shortstack[l]{#2}}% + \@tempdima\ht\@tempboxa \advance \@tempdima \dp\@tempboxa + \setbox\@tempboxb\hbox{#1\hskip1zw}%% << + \ifdim \@tempdima > \baselineskip + \ifdim \wd\@tempboxa > \capwidth + \hfil\parbox[t]{\capwidth}{\hangindent\wd\@tempboxb + #1\hskip1zw #2}\vskip2\@Q + \else + \hfil\parbox[t]{\wd\@tempboxa}{\hangindent\wd\@tempboxb + #1\hskip1zw #2}\vskip2\@Q + \fi + \else %% < + \ifdim \wd\@tempboxa > \capwidth + \hfil\parbox[t]{\capwidth}{\hangindent\wd\@tempboxb + #1\hskip1zw #2}\vskip2\@Q + \else + \setbox\@tempboxb\hbox{#2}% + \ifdim \wd\@tempboxb < 4.5zw %% > + \hbox to\hsize{\hfil #1\hskip1zw\kintou{5zw}{#2}\hfil}% + \else + \hbox to\hsize{\hfil\box\@tempboxa\hfil}% + \fi + \fi + \fi +} + +\long\def\ecaption#1{\small + \setbox\@tempboxa\hbox{\csname fnum@e\@captype\endcsname\hskip1zw + \shortstack[l]{#1}}% + \@tempdima\ht\@tempboxa \advance \@tempdima \dp\@tempboxa + \setbox\@tempboxb\hbox{\csname fnum@e\@captype\endcsname\hskip1zw}%% << + \ifdim \@tempdima > \baselineskip + \ifdim \wd\@tempboxa > \ecapwidth + \hfil\parbox[t]{\ecapwidth}{\hangindent\wd\@tempboxb + \csname fnum@e\@captype\endcsname\hskip1zw #1}\par + \else + \hfil\parbox[t]{\wd\@tempboxa}{\hangindent\wd\@tempboxb + \csname fnum@e\@captype\endcsname\hskip1zw #1}\par + \fi + \else %% < + \ifdim \wd\@tempboxa > \ecapwidth + \hfil\parbox[t]{\ecapwidth}{\hangindent\wd\@tempboxb + \csname fnum@e\@captype\endcsname\hskip1zw #1}\par + \else + \hbox to\hsize{\hfil\box\@tempboxa\hfil}% + \fi + \fi + \vspace{\belowcaptionskip}\par +} + +\setlength\arraycolsep{5\p@} +\setlength\tabcolsep{.5zw} +\setlength\arrayrulewidth{.1mm} +\setlength\doublerulesep{\z@} +\setlength\tabbingsep{\labelsep} + +\skip\@mpfootins = \skip\footins +\setlength\fboxsep{.5zw} +\setlength\fboxrule{.1mm} +\renewcommand{\theequation}{\@arabic\c@equation} +\if@NTT\else + \if@enablejfam + \DeclareSymbolFont{mincho}{JY1}{mc}{m}{n} + \DeclareSymbolFontAlphabet{\mathmc}{mincho} + \SetSymbolFont{mincho}{bold}{JY1}{gt}{m}{n} + \DeclareMathAlphabet\mathgt{JY1}{gt}{m}{n} + \reDeclareMathAlphabet{\mathrm}{\@mathrm}{\@mathmc} + \reDeclareMathAlphabet{\mathbf}{\@mathbf}{\@mathgt} + \jfam\symmincho + \else + \DeclareRobustCommand{\mathmc}{% + \@latex@error{Command \noexpand\mathmc invalid with\space + `disablejfam' class option.}\@eha + } + \DeclareRobustCommand{\mathgt}{% + \@latex@error{Command \noexpand\mathgt invalid with\space + `disablejfam' class option.}\@eha + } + \fi +\fi + +%% for 2.1.4 compatibility +\@ifundefined{reDeclareMathAlphabet}{% + \def\reDeclareMathAlphabet#1#2#3{% + \DeclareRobustCommand{#1}[1]{% + \ifmmode + \ifx\math@bgroup\@empty % 2.09 compatibility + #2\relax#3\relax##1\relax + \else % native mode + \ifx\math@bgroup\relax % oldstyle + #2\relax\@fontswitch\relax{#3}##1\relax + \else + #2{#3{##1}}% + \fi + \fi + \else + #2{##1}% + \fi + }% + }% + \@onlypreamble\reDeclareMathAlphabet + }{} + +\@ifundefined{mathmc}{\relax}{% + \if@enablejfam + \DeclareSymbolFont{mincho}{JY1}{mc}{m}{n}% + \DeclareSymbolFontAlphabet{\mathmc}{mincho}% + \SetSymbolFont{mincho}{bold}{JY1}{gt}{m}{n}% + \DeclareMathAlphabet\mathgt{JY1}{gt}{m}{n}% + \reDeclareMathAlphabet{\mathrm}{\@mathrm}{\@mathmc}% + \reDeclareMathAlphabet{\mathbf}{\@mathbf}{\@mathgt}% + \jfam\symmincho + \else + \DeclareRobustCommand{\mathmc}{% + \@latex@error{Command \noexpand\mathmc invalid with\space + `disablejfam' class option.}\@eha + }% + \DeclareRobustCommand{\mathgt}{% + \@latex@error{Command \noexpand\mathgt invalid with\space + `disablejfam' class option.}\@eha + }% + \fi +} + +\@ifundefined{mathmc}{\relax}{% + \DeclareOldFontCommand{\mc}{\normalfont\mcfamily}{\mathmc}% + \DeclareOldFontCommand{\gt}{\normalfont\gtfamily}{\mathgt}% +} + +\if@NTT\else + \DeclareOldFontCommand{\mc}{\normalfont\mcfamily}{\mathmc} + \DeclareOldFontCommand{\gt}{\normalfont\gtfamily}{\mathgt} +\fi +\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} +\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} +\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} +\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} +\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} +\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} +\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} +\DeclareRobustCommand*{\cal}{\@fontswitch\relax\mathcal} +\DeclareRobustCommand*{\mit}{\@fontswitch\relax\mathnormal} + +\newdimen\bibindent +\setlength\bibindent{1.5em} +\newcommand{\newblock}{\hskip .11em\@plus.33em\@minus.07em} + +\newenvironment{thebibliography}[1] +{% + \def\subsection{\@startsection{subsection}{2}{\z@} + {.00001\Cvs \@plus 1mm \@minus .1mm} + {.15\Cvs \@plus 1mm \@minus .1mm}{\centering\bfseries}} + \subsection*{\refname}% + \small\baselineskip15\@Q + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{\hspace*{2zw}}}% + \topsep\z@\parsep\z@\partopsep\z@\itemsep\z@ + \leftmargin3zw + \labelsep1zw + \@openbib@code + \usecounter{enumiv}% + \let\p@enumi\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \sloppy + \clubpenalty-100\relax + \widowpenalty-100\relax + \@clubpenalty\clubpenalty + \sfcode`\.\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} +\def\@biblabel#1{[#1]} +\let\@openbib@code\@empty + +\def\@uketsuke{% + \vskip6\@Q + \raggedleft\rightskip1zw + （\@received\@revised\@finalreceived ）\kern-.5zw\par +} + +\def\received#1#2#3{% + \gdef\@received{平成#1年#2月#3日受付}% + \gdef\@receivedyear{#1}} +\received{xx}{xx}{xx} + +\def\revised#1#2#3{% + \gdef\@revisedyear{#1}% + \ifx\@receivedyear\@revisedyear + \gdef\@revised{，#2月#3日再受付}% + \else + \gdef\@revised{，#1年#2月#3日再受付}% + \fi +} +\def\@revised{} + +\def\finalreceived#1#2#3{% + \gdef\@finalreceivedyear{#1}% + \ifx\@revisedyear\@finalreceivedyear + \gdef\@finalreceived{，\inhibitglue\break #2月#3日最終受付}% + \else + \gdef\@finalreceived{，\inhibitglue\break #1年#2月#3日最終受付}% + \fi +} +\def\@finalreceived{} + +%% paper, letterpaper +\newenvironment{biography}{\par + \raggedbottom + {\small \@uketsuke}\par + \nointerlineskip + \vskip17mm + \parindent\z@ + \leftskip8\@Q + \small\baselineskip15\@Q + \global\let\@uketsuke\relax +}{\par} + +\ifx\pdfpageheight\@undefined + \def\ieicej@in@ext{eps} +\else + \def\ieicej@in@ext{pdf} +\fi + +\newcounter{profile} +\def\profile{% + \@ifstar\np@profile{\@ifnextchar[%% ] + {\pic@profile}{\stepcounter{profile}% + \pic@profile[a\theprofile.\ieicej@in@ext]}}}% + +\long\def\pic@profile[#1]#2#3#4{% +% \stepcounter{profile}% + \if #2r \def\p@mbrship{（正員）\kern-.5zw}\else + \if #2m \def\p@mbrship{（正員）\kern-.5zw}\else + \if #2s \def\p@mbrship{（学生員）\kern-.5zw}\else + \if #2n \def\p@mbrship{}\else + \if #2a \def\p@mbrship{（准員）\kern-.5zw}\else + \if #2h \def\p@mbrship{（名誉員）\kern-.5zw}\else + \if #2f \def\p@mbrship{（正員：フェロー）\kern-.5zw}\else + \def\p@mbrship{}% + \ieicej@warning{Check the 1st. argument of \string\profile{#2}{#3}{}}% + \fi\fi\fi\fi\fi\fi\fi + \def\@checkname{#3}% + \setbox\@tempboxa\hbox{\spaceskip=100mm #3}% + \ifdim \wd\@tempboxa < 100mm + \ieicej@warning{Profile's name "#3" doesn't have a space}% + \let\@authorname\@checkname + \else + \setbox\@tempboxa\hbox{#3}% + \ifdim \wd\@tempboxa > 5zw + \def\@tempb##1 ##2\@nil{##1\hskip\authornamesep ##2}% + \else + \def\@tempb##1 ##2\@nil{\leavevmode\hbox to 5zw{##1\hfil ##2}}% + \fi + \edef\@authorname{\expandafter\@tempb\@checkname\@nil}% + \fi + \setbox\@tempboxa\hbox{% + \begin{minipage}[t]{19zw}% + \small\baselineskip15\@Q + {\normalsize{\bfseries \@authorname}\hskip1zw + \p@mbrship\nobreak\rule[-3mm]{0mm}{4mm}}\hfil\break + \hspace*{1zw}#4\unskip\inhibitglue + \end{minipage}% + }% + \@tempdima \ht\@tempboxa + \advance \@tempdima \dp\@tempboxa + \leavevmode + \hangindent9zw\hangafter-7\relax + \IfFileExists{#1}% a\theprofile.\ieicej@in@ext + {\smash{\lower23.9mm\hbox to \z@{\hss + \resizebox{20mm}{26.4mm}{% + \includegraphics{#1}}\hskip2.5mm + }}}% + {\smash{\lower23.9mm\hbox to \z@{\hss + \unitlength1mm + \begin{picture}(20,26.4) + \put(0,0){\framebox(20,26.4){\null}}% + \end{picture}\hskip2.5mm + }}}% + \ifdim \@tempdima < 26.4mm %% > + \vtop to 26.4mm{% + \hbox to 19zw{\hss + \begin{minipage}[t]{19zw}% + \small\baselineskip15\@Q + {\normalsize{\bfseries \@authorname}\hskip1zw + \p@mbrship\nobreak\rule[-3mm]{0mm}{4mm}}\hfil\break + \hspace*{1zw}#4\unskip\inhibitglue + \end{minipage}\hss}\vss + }\par + \else + {\normalsize{\bfseries \@authorname}\hskip1zw + \p@mbrship\nobreak\rule[-3mm]{0mm}{4mm}}\hfil\break + \hspace*{1zw}#4\par + \fi + \nointerlineskip + \vskip7mm +} + +\long\def\np@profile#1#2#3{% + \stepcounter{profile}% + \if #1r \def\p@mbrship{（正員）\kern-.5zw}\else + \if #1m \def\p@mbrship{（正員）\kern-.5zw}\else + \if #1s \def\p@mbrship{（学生員）\kern-.5zw}\else + \if #1n \def\p@mbrship{}\else + \if #1a \def\p@mbrship{（准員）\kern-.5zw}\else + \if #1h \def\p@mbrship{（名誉員）\kern-.5zw}\else + \if #1f \def\p@mbrship{（正員：フェロー）\kern-.5zw}\else + \def\p@mbrship{}% + \ieicej@warning{Check the 1st. argument of \string\profile{#1}{#2}{}}% + \fi\fi\fi\fi\fi\fi\fi + \def\@checkname{#2}% + \setbox\@tempboxa\hbox{\spaceskip=100mm #2}% + \ifdim \wd\@tempboxa < 100mm + \ieicej@warning{Profile's name "#2" doesn't have a space}% + \let\@authorname\@checkname + \else + \setbox\@tempboxa\hbox{#2}% + \ifdim \wd\@tempboxa > 5zw + \def\@tempb##1 ##2\@nil{##1\hskip\authornamesep ##2}% + \else + \def\@tempb##1 ##2\@nil{\leavevmode\hbox to 5zw{##1\hfil ##2}}% + \fi + \edef\@authorname{\expandafter\@tempb\@checkname\@nil}% + \fi + {\normalsize{\bfseries \@authorname}\hskip1zw + \p@mbrship\nobreak\rule[-3mm]{0mm}{4mm}}\hfil\break + \hspace*{1zw}#3\par + \nointerlineskip + \vskip7mm +} + +\if@tecrep + \renewenvironment{biography}{\relax}{\relax} + \long\def\pic@profile[#1]#2#3#4{} + \long\def\np@profile#1#2#3{} +\fi + +\renewcommand{\footnoterule}{% + \kern-3\p@ + \hrule height .1mm width \columnwidth + \kern 2.715\p@} + +\def\@makefnmark{\hbox{$^{\mbox{\tiny \kern-.5zw + （注\kern.1zw\@thefnmark{}）\kern-.5zw}}$}} + +\newcommand\@makefntext[1]{\parindent1zw + \noindent\hbox{\kern-.5zw + （注\kern.1zw\@thefnmark{}）\kern-.5zw\hbox to 1zw{\hss ：\hss}}#1} + +\def\thefootnote{\@arabic\c@footnote} +\def\thempfootnote{\@fnsymbol\c@mpfootnote} + +%% from [proc|slide].cls +%% \def\thefootnote{\fnsymbol{footnote}} +%% from [article|report|book].cls +%% \renewcommand\thefootnote{\@fnsymbol\c@footnote}% +%% from latex.ltx +%% \def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or +%% \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger +%% \or \ddagger\ddagger \else\@ctrerr\fi}} + +%% from fleqn.clo +%%\ProvidesFile{fleqn.clo} +%% [1998/08/17 v1.1c Standard LaTeX option +%% (flush left equations)] +\newdimen\mathindent +\AtEndOfClass{\mathindent1zw}% \leftmargini +\renewcommand\[{\relax + \ifmmode\@badmath + \else + \parsep 4\p@ \@plus2\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep 4\p@ \@plus2\p@ \@minus\p@ + \begin{trivlist}% + \@beginparpenalty\predisplaypenalty + \@endparpenalty\postdisplaypenalty + \item[]\leavevmode + \hb@xt@\linewidth\bgroup $\m@th\displaystyle %$ + \hskip\mathindent\bgroup + \fi} +\renewcommand\]{\relax + \ifmmode + \egroup $\hfil% $ + \egroup + \end{trivlist}% + \else \@badmath + \fi} +\renewenvironment{equation}% + {\@beginparpenalty\predisplaypenalty + \@endparpenalty\postdisplaypenalty + \refstepcounter{equation}% + \parsep 4\p@ \@plus2\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep 4\p@ \@plus2\p@ \@minus\p@ + \trivlist \item[]\leavevmode + \hb@xt@\linewidth\bgroup $\m@th% $ + \displaystyle + \hskip\mathindent}% + {$\hfil % $ + \displaywidth\linewidth\hbox{\@eqnnum}% + \egroup + \endtrivlist} +\renewenvironment{eqnarray}{% + \stepcounter{equation}% + \parsep 4\p@ \@plus2\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep 4\p@ \@plus2\p@ \@minus\p@ + \def\@currentlabel{\p@equation\theequation}% + \global\@eqnswtrue\m@th + \global\@eqcnt\z@ + \tabskip\mathindent + \let\\=\@eqncr + \setlength\abovedisplayskip{\topsep}% + \ifvmode + \addtolength\abovedisplayskip{\partopsep}% + \fi + \addtolength\abovedisplayskip{\parskip}% + \setlength\belowdisplayskip{\abovedisplayskip}% + \setlength\belowdisplayshortskip{\abovedisplayskip}% + \setlength\abovedisplayshortskip{\abovedisplayskip}% + $$\everycr{}\halign to\linewidth% $$ + \bgroup + \hskip\@centering + $\displaystyle\tabskip\z@skip{##}$\@eqnsel&% + \global\@eqcnt\@ne \hskip.8\arraycolsep \hfil${##}$\hfil&% + \global\@eqcnt\tw@ \hskip.8\arraycolsep + $\displaystyle{##}$\hfil \tabskip\@centering&% + \global\@eqcnt\thr@@ + \hb@xt@\z@\bgroup\hss##\egroup\tabskip\z@skip\cr}% + {\@@eqncr + \egroup + \global\advance\c@equation\m@ne$$% $$ + \@ignoretrue + } +%%\endinput +%% +%% End of file `fleqn.clo'. + +\def\@eqnnum{{\normalfont \normalcolor (\theequation)\hspace*{3mm}}} + +\def\@begintheorem#1#2{% + \settowidth{\labelwidth}{\kern-.5zw ［#1\ #2］\kern-.5zw} + \begin{description} + \item[\@thmlbracket #1\ #2\@thmrbracket]} + +\def\@opargbegintheorem#1#2#3{% + \begin{description} + \item[\@thmlbracket #1\ #2\@thmrbracket （#3）\kern-.5zw]}%% +\def\@endtheorem{\end{description}} + +\def\thmbracket#1#2{\gdef\@thmlbracket{#1}\gdef\@thmrbracket{#2}} +\thmbracket{\kern-.5zw ［}{］\kern-.5zw } +\def\@thmcountersep{} + +\def\ack{\par{\bfseries 謝辞}\hskip1zw} + +\if@NTT\else +\newif\if西暦 \西暦false +\def\西暦{\西暦true} +\def\和暦{\西暦false} +\def\today{{% + \iftdir + \if西暦 + \kansuji\number\year 年 + \kansuji\number\month 月 + \kansuji\number\day 日 + \else \@tempcnta\year + \advance\@tempcnta-1988 平成 + \ifnum \@tempcnta =1 元\else\kansuji\number\@tempcnta\fi 年 + \kansuji\number\month 月\kansuji\number\day 日 + \fi + \else + \if西暦 + \number\year\, 年\hspace{.5em}\nobreak + \number\month\, 月\hspace{.5em}\nobreak + \number\day\, 日 + \else \@tempcnta\year + \advance\@tempcnta-1988 平成 + \ifnum \@tempcnta =1 元\else\number\@tempcnta\fi + \, 年\hspace{.5em}\nobreak + \number\month\, 月\hspace{.5em}\nobreak\number\day\, 日 + \fi + \fi}} +\fi +%%\newcommand{\prepartname}{第} +%%\newcommand{\postpartname}{部} +%%\newcommand{\contentsname}{目 次} +%%\newcommand{\listfigurename}{図 目 次} +%%\newcommand{\listtablename}{表 目 次} +\newcommand{\refname}{文献} +%%\newcommand{\indexname}{索 引} +\newcommand{\figurename}{図} +\newcommand{\tablename}{表} +%%\newcommand{\appendixname}{付 録} +%%\newcommand{\abstractname}{概 要} + +%%## citesort.sty ##%% +%% from "citesort.sty", a little customized +\newcount\@minsofar +\newcount\@min +\newcount\@cite@temp +\def\@citex[#1]#2{% +\if@filesw \immediate \write \@auxout {\string \citation {#2}}\fi +\@tempcntb\m@ne \let\@h@ld\relax \def\@citea{}% +\@min\m@ne% +\@cite{% + \@for \@citeb:=#2\do {\@ifundefined {b@\@citeb}% + {\@h@ld\@citea\@tempcntb\m@ne{\bfseries ?}% + \@warning {Citation `\@citeb ' on page \thepage \space undefined}}% +{\@minsofar\z@ \@for \@scan@cites:=#2\do {% + \@ifundefined{b@\@scan@cites}% + {\@cite@temp\m@ne} + {\@cite@temp\number\csname b@\@scan@cites \endcsname \relax}% +\ifnum\@cite@temp > \@min% select the next one to list + \ifnum\@minsofar = \z@ + \@minsofar\number\@cite@temp + \edef\@scan@copy{\@scan@cites}\else + \ifnum\@cite@temp < \@minsofar + \@minsofar\number\@cite@temp + \edef\@scan@copy{\@scan@cites}\fi\fi\fi}\@tempcnta\@min + \ifnum\@minsofar > \z@ % some more + \advance\@tempcnta\@ne + \@min\@minsofar + \ifnum\@tempcnta=\@minsofar % Number follows previous--hold on to it + \ifx\@h@ld\relax + \edef \@h@ld{\@citea\csname b@\@scan@copy\endcsname}% + \else \edef\@h@ld{\ifmmode{]〜[}\else]〜[\fi + \csname b@\@scan@copy\endcsname}% + \fi + \else \@h@ld\@citea\csname b@\@scan@copy\endcsname + \let\@h@ld\relax + \fi % no more +\fi}% +\def\@citea{],\penalty\@highpenalty\,[}}\@h@ld}{#1}} +%% end of citesort.sty + +\def\@cite#1#2{\leavevmode\unskip + \ifnum\lastpenalty=\z@\penalty\@highpenalty\fi% highpenalty before + \,[{\multiply\@highpenalty 3 #1% % triple-highpenalties within + \if@tempswa,\penalty\@highpenalty\ #2\fi % and before note. + }]\spacefactor\@m} + +\def\onelineskip{\par\vspace{1\baselineskip}\par} +\def\halflineskip{\par\vspace{.5\baselineskip}\par} + +\def\ddash{\hbox to 2zw{---\hss ---}}% \let\doubledash\ddash +\def\FRAC#1#2{\leavevmode\kern-.1em + \raise.5ex\hbox{\the\scriptfont0 #1}\kern-.1em + /\kern-.15em\lower.25ex\hbox{\the\scriptfont0 #2}} +\def\RN#1{\uppercase\expandafter{\romannumeral#1}} + +\def\MARU#1{\raisebox{0.1zh}{{% + \leavevmode\ooalign{\hfil\lower.168ex\hbox{#1}\hfil\crcr\mathhexbox20D}}}} + +\def\kintou#1#2{\@ifundefined{jintercharskip}% + {\leavevmode\hbox to #1{% + \kanjiskip\z@ \@plus 1fill \@minus 1fill\xkanjiskip\kanjiskip #2}}% + {\leavevmode\hbox to #1{\jintercharskip\z@ \@plus 1fill \@minus 1fill + \jasciikanjiskip\jintercharskip #2}}} + +\def\ruby#1#2{\leavevmode \setbox0=\hbox{#1}\setbox1=\hbox{\tiny #2}%% < + \ifdim\wd0>\wd1 \dimen0=\wd0 \else \dimen0=\wd1 \fi + \hbox{\kanjiskip=\fill + \vbox{\hbox to \dimen0{\tiny \hfil#2\hfil}% + \nointerlineskip \hbox to \dimen0{\hfil#1\hfil}}}} + +\def\QED{{\unskip\nobreak\hfil\penalty50 + \hskip1zw\hbox{}\nobreak\hfil \hbox{$\Box$\hskip1zw} + \parfillskip\z@ \finalhyphendemerits\z@\par}} + +\def\Hline{\noalign{\hrule height 0.4mm}} + +\def\leq{\mathrel{\mathpalette\gl@align<}} \let\le\leq +\def\geq{\mathrel{\mathpalette\gl@align>}} \let\ge\geq +\def\gl@align#1#2{\lower.6ex\vbox{\baselineskip\z@skip\lineskip\z@ + \ialign{$\m@th#1\hfil##\hfil$\crcr#2\crcr=\crcr}}} +\def\subseteq{\rlap{\raisebox{.25ex}{$\subset$}}\raisebox{-1.1ex}{$=$}} +\def\supseteq{\rlap{\raisebox{.25ex}{$\supset$}}\raisebox{-1.1ex}{$=$}} +\def\neq{\mathrel{\mathpalette\c@ncelass=}} +\def\c@ncelass#1#2{\ooalign{$\hfil#1\mkern-.4mu|\hfil$\crcr$#1#2$}} +\let\ne\neq + +\if@NTT\else + \postbreakpenalty`（=10000 + \prebreakpenalty`）=10000 + \postbreakpenalty`［=10000 + \prebreakpenalty`］=10000 + \postbreakpenalty`〈=10000 + \prebreakpenalty`〉=10000 + \prebreakpenalty`"=10000 + \prebreakpenalty`℃=10000 + \prebreakpenalty` =10000 + \prebreakpenalty`・=10000 + \prebreakpenalty`〜=10000 + \prebreakpenalty`ー=10000 + \prebreakpenalty`？=10000 + \prebreakpenalty`！=10000 + \postbreakpenalty"5C=10000 +\fi + +\def\sloppy{\tolerance9999\hbadness9999\hfuzz.5\p@ \vfuzz.5\p@} + +\hbadness4000 +\vbadness10001 +\tolerance4000\pretolerance\m@ne +\clubpenalty\z@ +\widowpenalty\z@ +\displaywidowpenalty\z@ +\interdisplaylinepenalty\z@ %% 100 +\predisplaypenalty\z@ %% 1000 + +\AtBeginDocument{% + \@ifundefined{@mathmargin}{\let\@mathmargin\undefined} + {% +% \let\@mathmargin\mathindent + \@mathmargin1zw \@plus\z@ \@minus\z@ + \def\maketag@@@#1{\hbox{\m@th\normalfont #1}\hskip3mm}% + \def\eqref#1{\textup{\tagform@{\ref{#1}}\unskip}}% +% %% from /usr/local/share/texmf/tex/latex/amslatex/amsmath.sty (v1.2c) +% \renewenvironment{equation*}{% +% \equation \nonumber +% }{% +% % \nonumber +% \endequation +% }% + }% + %% here.sty + \@ifundefined{@HHfloat}{}{% + \def\@HHfloat#1[H]{% + \expandafter\let\csname end#1\endcsname\end@Hfloat + \vskip\intextsep + \vbox\bgroup\def\@captype{#1}\parindent\z@ + \@floatboxreset %% + \ignorespaces}% + \def\end@Hfloat{\egroup\vskip-1zh %% + \vskip \intextsep}% + }% + %% nidanfloat + \@ifundefined{dblbotfraction}{}{% + \renewcommand\dblbotfraction{0.9}% 0.5 + \setcounter{dblbotnumber}{4}% 2 + }% + %% +} + +\if@tecrep + \pagestyle{plain} +\else + \AtEndDocument{% + \if@letter + \nopagebreak + {\small\@uketsuke}\par + \fi + \immediate\write\@auxout + {\string\newlabel{ieicej@lastpage}{{\@currentlabel}{\thepage}}}% + \if@cameraready + \else + \onecolumn + \thispagestyle{empty} + \ifvoid\eabstractbox\else + \leavevmode + \unhbox\eabstractbox\par + \halflineskip + \fi + \ifvoid\ekeywordbox\else + \leavevmode + \unhbox\ekeywordbox + \fi + \fi + } + \pagestyle{IEICEJ} +\fi + +\pagenumbering{arabic} +\raggedbottom +\if@twocolumn + \twocolumn + \sloppy + \if@tecrep + \raggedbottom + \else + \flushbottom + \fi +\else + \onecolumn +\fi 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Missing $ inserted. +<inserted text> + $ +l.106 コールとして{\tt pthread_ + create}や{\tt pthread_mutex_lock}などが +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +LaTeX Font Info: External font `cmex10' loaded for size +(Font) <7> on input line 106. +LaTeX Font Info: External font `cmex10' loaded for size +(Font) <5> on input line 106. +! Extra }, or forgotten $. +l.106 コールとして{\tt pthread_create} + や{\tt pthread_mutex_lock}などが +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + +! Missing $ inserted. +<inserted text> + $ +l.108 + +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + + +Underfull \hbox (badness 6658) in paragraph at lines 109--111 +[]\JY1/mc/m/n/10 これらの動作記述は 、 マニ ュ アルや \OT1/cmtt/m/n/10 Formal + [] + +! Missing $ inserted. +<inserted text> + $ +l.113 The pthread_ + mutex_lock() function locks mutex. If the mutex +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Extra }, or forgotten $. +l.115 mutex becomes available. } + +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + +! Missing $ inserted. +<inserted text> + $ +l.116 + +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + + +Overfull \hbox (377.24059pt too wide) in paragraph at lines 113--116 +[]\OT1/cmtt/m/n/10 The pthread$[]\OML/cmm/m/it/10 utex[]ock\OT1/cmr/m/n/10 ()\O +ML/cmm/m/it/10 functionlocksmutex:Ifthemutexisalreadylocked; thecallingthreadwi +llblockuntilthemutexbecomesavailable:$ + [] + + +Overfull \hbox (53.04681pt too wide) in paragraph at lines 159--159 +[] \OT1/cmtt/m/n/9 code pickup_rfork(PhilsPtr self, TaskPtr current_task)[] + + [] + + +Overfull \hbox (1.07242pt too wide) in paragraph at lines 159--159 +[] \OT1/cmtt/m/n/9 self->right_fork->owner = self;[] + [] + + +Overfull \hbox (19.9722pt too wide) in paragraph at lines 159--159 +[] \OT1/cmtt/m/n/9 goto scheduler(self, current_task);[] + [] + + +Overfull \hbox (19.9722pt too wide) in paragraph at lines 159--159 +[] \OT1/cmtt/m/n/9 goto scheduler(self, current_task);[] + [] + + +Overfull \hbox (1.07242pt too wide) in paragraph at lines 174--174 +[] \OT1/cmtt/m/n/9 code scheduler(PhilsPtr self, TaskPtr list)[] + [] + + +Overfull \hbox (10.52231pt too wide) in paragraph at lines 174--174 +[] \OT1/cmtt/m/n/9 goto list->phils->next(list->phils,list);[] + [] + +! Missing $ inserted. +<inserted text> + $ +l.179 {\tt right_ + fork}の排他制御は、 +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Extra }, or forgotten $. +l.179 {\tt right_fork} + の排他制御は、 +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + +! Missing $ inserted. +<inserted text> + $ +l.183 + +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + + +Underfull \hbox (badness 10000) in paragraph at lines 186--190 +[]\OT1/cmtt/m/n/10 FIFO scheduler \JY1/mc/m/n/10 を例えば \OT1/cmtt/m/n/10 Cell + \JY1/mc/m/n/10 の \OT1/cmtt/m/n/10 SPU \JY1/mc/m/n/10 の + [] + + [5] +! Missing $ inserted. +<inserted text> + $ +l.194 内部で、例えば、{\tt pthread_ + mutex_lock}を呼び出しても良い。 +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Extra }, or forgotten $. +l.194 内部で、例えば、{\tt pthread_mutex_lock} + を呼び出しても良い。 +I've deleted a group-closing symbol because it seems to be +spurious, as in `$x}$'. But perhaps the } is legitimate and +you forgot something else, as in `\hbox{$x}'. In such cases +the way to recover is to insert both the forgotten and the +deleted material, e.g., by typing `I$}'. + +! Missing $ inserted. +<inserted text> + $ +l.195 + +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +) (./5.tex + +LaTeX Warning: Citation `wolper82' on page 6 undefined on input line 56. + + +LaTeX Warning: Citation `synBTTL' on page 6 undefined on input line 56. + + +LaTeX Warning: Citation `kono93b' on page 6 undefined on input line 56. + +) (./6.tex [6] +Overfull \hbox (24.69714pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 while(!(list = next_task_iterator(task_iter))) {[] + [] + + +Overfull \hbox (67.22165pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 // here we assume task list is fixed, we don't have to +[] + [] + + +Overfull \hbox (100.29626pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 printf("restore list %x next %x\n",(int)list,(int)(list-> +next));[] + [] + + +Overfull \hbox (48.32187pt too wide) in paragraph at lines 84--84 +[] \OT1/cmtt/m/n/9 task_iter = create_task_iterator(list,out,task_iter);[] + [] + +) (./7.tex [7]) (./8.tex +Underfull \hbox (badness 3323) in paragraph at lines 3--6 +[]\JY1/mc/m/n/10 本手法を 、 \OT1/cmtt/m/n/10 PS3 Linux \JY1/mc/m/n/10 上の \OT +1/cmtt/m/n/10 SPU \JY1/mc/m/n/10 を用いた \OT1/cmtt/m/n/10 3D + [] + +) (./9.tex + +LaTeX Warning: Citation `holzmann97model' on page 8 undefined on input line 9. + + +LaTeX Warning: Citation `havelund98model' on page 8 undefined on input line 14. + + + +LaTeX Warning: Citation `groce04understanding' on page 8 undefined on input lin +e 15. + + [8] +Underfull \hbox (badness 1028) in paragraph at lines 45--45 +[] \OT1/cmtt/m/n/9 \caption{Dining Philosophers Problem \JY1/mc/m/n/9 の \OT +1/cmtt/m/n/9 CbC + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 45--45 +[] \JY1/mc/m/n/9 プロセス数 \OT1/cmtt/m/n/9 & \JY1/mc/m/n/9 状態数 \OT1/ +cmtt/m/n/9 & \JY1/mc/m/n/9 実行時間 + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 64--64 +[] \OT1/cmtt/m/n/9 \caption{SPIN \JY1/mc/m/n/9 による + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 64--64 +[] \JY1/mc/m/n/9 プロセス数 \OT1/cmtt/m/n/9 & \JY1/mc/m/n/9 状態数 \OT1/ +cmtt/m/n/9 & \JY1/mc/m/n/9 実行時間 + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 83--83 +[] \OT1/cmtt/m/n/9 \caption{JPF \JY1/mc/m/n/9 による + [] + + +Underfull \hbox (badness 10000) in paragraph at lines 83--83 +[] \JY1/mc/m/n/9 プロセス数 \OT1/cmtt/m/n/9 & \JY1/mc/m/n/9 状態数 \OT1/ +cmtt/m/n/9 & \JY1/mc/m/n/9 実行時間 + [] + +) (./10.tex +Underfull \hbox (badness 7888) in paragraph at lines 11--14 +[]\JY1/mc/m/n/10 現在のモデル検査部で 、 \OT1/cmtt/m/n/10 SPIN \JY1/mc/m/n/10 +と \OT1/cmtt/m/n/10 Java Path + [] + +)) +! I can't find file `reference.tex'. +l.54 \input reference.tex + +Please type another input file name +! Emergency stop. +l.54 \input reference.tex + +*** (job aborted, file error in nonstop mode) + + +Here is how much of TeX's memory you used: + 664 strings out of 94689 + 7564 string characters out of 1170012 + 62856 words of memory out of 1000000 + 3941 multiletter control sequences out of 10000+50000 + 15739 words of font info for 62 fonts, out of 500000 for 2000 + 566 hyphenation exceptions out of 1000 + 25i,7n,24p,181b,680s stack positions out of 1500i,500n,5000p,200000b,5000s +Output written on jsss.dvi (8 pages, 44460 bytes).
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/jsss.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,57 @@ + +\documentclass[twocolumn]{jarticle} +\usepackage[dvipdfm]{graphicx} + +%hoffset -1in \addtolength{hoffset}{20mm} +%voffset -1in \addtolength{voffset}{20mm} +%oddsidemargin 0mm +\topmargin -4mm +%\headheight 13pt +%\headsep 15mm +%\textheight 43\baselineskip \addtolength{\textheight}{\topskip} +%\textwidth 160mm +%\marginparsep 3mm +%\marginparwidth 15mm +%\footskip headsep + +\begin{document} +% input tgrindfig.tex +\bibliographystyle{jplain} % for bibliography +% +\include{title} +%\title{} +% 英文のみのタイトルならば，\title{ ... } とする． + +\date{} + +% 所属ラベルの定義 + +% 和文著者名 +\author{{安村 恭一, 河野 真治} \\ +琉球大学理工学研究科情報工学専攻\\ +琉球大学工学部情報工学科\\ +} +\twocolumn[ +\maketitle{} + +% {\em 概要 vspace{0.5cm}}\ +\include{abstract.tex} +\begin{center} +{\Large +\include{title-e.tex}\ +\include{author-e.tex}} \\ \hspace{0.7cm} +\end{center} + +% { t \Large Abstract}\ +\include{abstract-e.tex} +\\ +\hspace{0.5cm} +] + +% +\input 0.tex +% +\input reference.tex + +\end{document} +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/jsss00.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,57 @@ + +\documentclass[twocolumn]{jarticle} +\usepackage[dvipdfm]{graphicx} + +%hoffset -1in \addtolength{hoffset}{20mm} +%voffset -1in \addtolength{voffset}{20mm} +%oddsidemargin 0mm +\topmargin -4mm +%\headheight 13pt +%\headsep 15mm +%\textheight 43\baselineskip \addtolength{\textheight}{\topskip} +%\textwidth 160mm +%\marginparsep 3mm +%\marginparwidth 15mm +%\footskip headsep + +\begin{document} +% input tgrindfig.tex +\bibliographystyle{jplain} % for bibliography +% +\include{title} +%\title{} +% 英文のみのタイトルならば，\title{ ... } とする． + +\date{} + +% 所属ラベルの定義 + +% 和文著者名 +\author{{安村 恭一, 河野 真治} \\ +琉球大学理工学研究科情報工学専攻\\ +琉球大学工学部情報工学科\\ +} +\twocolumn[ +\maketitle{} + +% {\em 概要 vspace{0.5cm}}\ +\include{abstract.tex} +\begin{center} +{\Large +\include{title-e.tex}\ +\include{author-e.tex}} \\ \hspace{0.7cm} +\end{center} + +% { t \Large Abstract}\ +\include{abstract-e.tex} +\\ +\hspace{0.5cm} +] + +% +\input 0.tex +% +\input reference.tex + +\end{document} +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/main.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,30 @@ +\documentclass[12pt]{article} %%%%% preamble %%%%% +\usepackage[dvipdfm]{graphicx} + +%\textwidth 16.3cm % the text frame size +%\textheight 23cm +%\oddsidemargin 5mm % for centering +%\evensidemargin 13mm % for centering +%\topmargin 1mm +%\pagestyle{empty} +\pagestyle{plain} +\begin{document} %%%%% the main routine begins here %%%%% +%\baselinestretch 2 +%\flushbottom +%\large % character size +%\setlength{\baselineskip}{1cm} % line spacing +\bibliographystyle{jplain} % for bibliography +\input{title} % title, abstract +\maketitle +\begin{quote} +\input{abstract} +\end{quote} +%%%%\tableofcontents %% contents, lists +%%%%\listoffigures +%%%%\listoftables +%\pagenumbering{arabic} + +\input{0} % sections + +\bibliography{ref} +\end{document}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/manycore.html Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,496 @@ +<html> +<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=Shift_JIS"> +<head> +<title> gŕ\łn[hEFAA\tgEFALq Continuation based C ƁACell ւ̉p</title> +</head> +<body> +<h1> gŕ\łn[hEFAA\tgEFALq Continuation based C ƁACell ւ̉p</h1> +<a href=#content>content</a><br> +<nr> + +<p> + +<author> ͖^</author> + +<hr> +<h1><a name="content000">title-e: Self descriptive verfication in Continuation based C and it's application to Cell architecture</a></h1> + +<hr> +<h1><a name="content001">abstract-e:</a></h1> +hoge +<p> + +<quote> +ߔNACPU̐\́ANbNTCN邱ƂA +CPURA(Many Core Architecture)邱Ƃɂ蓾悤ɂȂėĂBAMany Core Architecture ̃vO͕GłA +̐Mmۂ邱Ƃ͓B{_ł́A{ŊJ + C̃TuZbg łContination based C pāAMany +Core Architecture ̃vO~OƁǍs@ɂčl@Bł͗ƂāACell Broadband Engine +p_OGWpB +<p> + +</quote> + +<hr> +<h2><a name="content002">Multi core system</a></h2> +CPUڂRs[^͐̂gėAŋ߂̌X́AChipɕCPURAڂ̂̓ołB +]̃}`vZbT͓T|[gLbVoRCɃANZX邱ƂAŋߊJꂽMulti +Core ł́ACPUԂ̒ʐMɓʂȃ|[gpӂĂB +ႦAIntelQuick PathƌʐM|[gB +ɂACւ̃ANZXɂ鋣邱ƂłBA̕AGȃvO~OKvƂȂB +<p> +Cell Broadband Engine\cite{Cell} ́ASCEIIBMɂĊJꂽPS3Q[@pCPUłA2 thread PPU(PowerPC Unit)ƁA8SPU (Synergetic +Processing Unit) (}\ref{cellarch})B{ŗpPS3Linux (FedoreCore 6)ł́A6SPUgƂoBSPU͂ꂼ256kb̃[JAoXɕS邱ƂȂɌvZi߂邱ƂoBSPU烁Cւ́ASPŰ@Bꂩ璼ڃANZX +邱Ƃ͏oACellMFC(Memory Flow Controller)DMA +(Direct Memory Access) ߂𑗂邱ƂōsB +SPU̓OtBbNXɓKA4̌Œ菬_A_ɉZ閽߂ȂǂAPPUɔׂčȉZ\łA +قƂǂ̉ZSPUŐi߂邱ƂĂB +<p> +<center><img src="fig/cell.pdf" alt="cellarch"></center> +<p> + +<hr> +<h2><a name="content003">Many Core ̃vO̓</a></h2> +]̒^̃vOł́AMany Core̐\\ɈoƂ͏oȂBł́A̐\Many Core vO̓ɂčl@Bł́A{\tt Iȕx̕KvA +f[^ApCvCsA +vOƃf[^̕A +̖A +}`XbhA +fobO}Ɋւčl@sB +<p> + +<hr> +<h3><a name="content004">Iȕx̕Kv</a></h3> +sɂAmdahl\cite{java-conncurrecy}AvO̕ႯA̐\Ƃ͏oȂB0.8 x̕ł́A6CPUł3{x̐\サȂ(\ref{amdhal})B +<p> +<center><img src="fig/amdahl.pdf" alt="amdahl"></center> +<p> +xł͂ȂƂAPIɕxێKvB̂߁A +<p> + +<pre> + ^̃vÖꕔ + +</pre> +Ƃ@ł͕s\łBLSIȂǂ̃n[hEFAꍇ͉Z̑ΏۂƂƑʂ̉Zƃf[^pX̂ŕvŽʂIɓ邱ƂACŋLqꂽvOł́A +for z̃ANZXȂǂɕBĂ܂AoƂB +<p> +vO̒̕x́Aɓ̌`ŎoƂoB +́Az̒̌X̗vfɑĕɎs +<p> + +<pre> + f[^ + +</pre> +łB́A̗̒דmd˂Ďs +<p> + +<pre> + pCvC + +</pre> +łB̓ɗp邱ƂŒIȕxێ邱Ƃ\ƂȂ邱ƂBpCvĆAvOŊKwIɎg邱ƂB +<p> + +<hr> +<h3><a name="content005">vOƃf[^̕</a></h3> +f[^ƃpCvC\ɂ邽߂ɂ́AvOƃf[^̓KȕsKvBforA邢́AƂďX̃Xe[ggvȎ̕ΏۂƂȂB +f[^͎ɕł킯ł͂ȂAłf[^\̗pA +KvȂRs[sB +<p> +ꂽf[^́Aɒu邪ACell̏ꍇSPŨ[Jɒu邱ƂɂȂBLx[X̏ꍇłLbVlzuKvB̓Iɂ́Af[^̃ACg낦KvBCŌvZs^vOƈقȂA +Rs[̃RXgĂłf[^ACPUœƗɏKvBɁADMAS̃ANZXɂȂCell̏ꍇ́A +Rs[₷悤ɁAKbyte̔zɂǂB +<p> +Cell̏ꍇ͂ɃR[h[Jɒu邽߂ɁA +R[h[hdg݂KvɂȂB +<p> + +<hr> +<h3><a name="content006">̖</a></h3> +ṒACPUf[^̑҂킹A܂́Aێ邽߂ɁACPUƂ̑҂킹sƂłB]̃}`CPUł́AxႢ߂ɓ͊łALbVSpin lock p邱ƂB́A̓̏ꏊtest and set ̓Ȗ߂ŌJԂANZXđ҂킹@łBUnix OSkernelAPOSIX Thread ȂǓ@\̎ɎgĂB +<p> +Many Core ł́A҂킹sƕxĂ܂̂ŁA +̂炷KvB̂߂ɂ́AeCPUƗ(Lock)f[^ɃANZXo悤Ƀf[^ΗǂBCell ł́A +SPU[JĂ̂ŁAɃRs[邱ƂɂȂB +ASPU̓Cf[^擾Kv̂ŁA̎擾̍ۂɂ͓KvB +Cellł́ASPUPPUԂ̓ɂMail box ƂFIFObZ[W +L[pӂĂāAreadch,writech Ƃ߂SPUANZXBSpin lock ƈāAbZ[WȂ̂ő҂킹邱Ƃ\łB +<p> +Lx[X̃VXȅꍇłAꏊANZXꍇ̓LbV̋̂ŁARs[Ȃǂpė̈̕sKvBThread local ȂǂpꍇB +<p> +CPUo͂錋ʂ̃L[ɑ}悤ȂƂƁA +}ɕKKvɂȂ̂œ̃RXgB +<p> + +<hr> +<h3><a name="content007">}`Xbh</a></h3> +]̋L^̃}`CPUł́APOSIX Thread pĕs +邱ƂBHyper Thread ł́A̖߃Xg[gāAANZX̖̂ߎspCvC̃Xg[XbhؑւĉBƂoBAMany Core ̏ꍇɁA +XCoreɕThread蓖Ăƃ[LOZbg(Threadgpf[^)̑傫傫ȂLbV[JɓȂȂꍇB +<p> +Xbh(Hyper Thread)͖{AI/O҂CANZXɑėLłAقƂǂ̃f[^LbV[JɂƍlMany Coreɂ͌ĂȂBX̃^XNsCPU +ŕ̃Xbhgp郁bg͂قƂǂȂƎvB +ŁAXCPU͍וꂽ^XN\ɎĂȂPIȕxێłȂB +<p> +ŁA@\ő҂킹sꍇɁASpin lockƂA +tϐȂǂ̃Xbh̃^XN̑҂킹@\KvƂȂB +<p> +Many Core ̑䐔ɂ邪As^XN̊Ǘs}l[W[Xbhō\Â̈A|[Ox[XŕCoreɑ҂킹s悤ɂ̂ǂƎvB +Cellł́ASPURS\cite{spurs}Ƃdg݂ĂĂB +<p> + +<hr> +<h3><a name="content008">fobO</a></h3> +Core𑖂点Ԃł̃fobO͓BvO̓ƂāAsI(ԂŎsĂʂقȂ)ƂAoȌԂČ邱ƂƂB܂AXCorẽf[^ׂKvAfobKCore舵邱ƂK{łB +<p> + +<hr> +<h2><a name="content009">Many Core ̃vO̍</a></h2> +{_ł́A{ō쐬PS3̃_OGWłCerium +Rendering Engine ƂĎgBڍׂ͕ʂȘ_\cite{cerium-akira}ɏAł͊ȒPɋLqB +<p> +Cerium ́AScene Graph (3DIuWFNg؍\ɂ)t[obt@SPUpĕ`悷Rendering Engine łApƂăVvȍ\ĂBCerium ́A +<p> + +<pre> + 1. Scene GraphPolygon̍W\ + 2. W̌vZs PolygonPack + 3. PolygonPack AYW̏WSpanPack + 4. SpanPack(Texture ǍȂ)Z bufferpĕ`悷B + +</pre> +Ƃ4̃^XNBśAScene Graph̖APolygonPack, +SpanPack ɑăf[^ssBɁA4\ʖɃpCvCIɎsB +<p> +̃^XŃASPUŎs邽߂ɏȃZOgɕKvBꂽ^XNAPPU܂SPUŎŝCerium task manager łBTask manager ̓^XNˑ@\ĂāA^XNˑꂽ̂ANeBuL[ɓASPUNBSPU̓ANeBuL[AR[hƃf[^擾IɎssB +<p> +Cerium Rendering engine ɂ́Aȉ̎菇ɎƃeXgsB +<p> + +<pre> + 1. ʂCŎ Rendering algorithm + 2. f[^\(PolygonPack, SpanPack) + 3. R[h^XNɕAFIFOL[ŃV[PVɎs + 4. ^XNSPUɊ蓖ĕs + +</pre> +ɂAAlgorithm̐mFŕsɈڍs邱ƂoB +<p> + +<hr> +<h2><a name="content010">Continuation based C</a></h2> +CbC (Continuation based C)́ACTu[`[v\C̉ʌłAn[hEFAƃ\tgEFAAɑg݃VXe̋LqƂĖ{ŒĂĂ錾łB +<p> +C̊̑ɁA +R[hE +ZOgƂPʂBR[hZOgɂ́AɑInput interface ƁAoɑParameterized goto ݂B +<p> +<center><img src="fig/code.eps"></center> +<p> +ȉ͊ȒPCbC̃vOłB +<p> + +<pre> + code fact(int n,int result, + code print()){ + if(n>0){ + result *= n; + n--; + goto fact(n,result,print); + } else + goto (*print)(result); + } + +</pre> +ԐgotoƁAgotoAvO̒Pʂ̌ѕt{gAbvɋK肵āARȃO[v\B +<p> +CbČṕASchemeȂǂ̌pƂ͈قȂ(̌Ăяo)ȂB +R[hZOǵAĂяoł͂Ȃ̂ŊKvȂB +<p> +CɃR[hZOgƈgototCwĆAC̃X[pZbg +łA +R[hZOgʏC̊ĂяoƂ\B܂A +ʏ̊R[hZOggotoAR[hZOgA +Ăяoꂽ֒l߂ƂoB +<p> +R[hZOg͏ԑJڋLqƑΉĂ̂ŁAn[hEFALq +ƂǂB +<p> +CbCRpĆAmicro-C base ̂̂ GCC base, TCC base ̂̂ĂApIɎgƂłB{\tt sourceforge.jp} ŌJĂB +<p> + +<hr> +<h3><a name="content011">CCbCւ̕ϊ</a></h3> +C̃X^bNIɍ\邱ƂɂC̃vOCbCɕϊ邱Ƃ\łB +<p> + +<pre> + j = g(i+3); + +</pre> +̂悤C̊ĂяóA \verb+struct f_g0_save+ Ȃǂ̖IȃX^bN̒g\\̂pāA +<pre> + struct f_g0_interface *c = + (struct f_g0_save *)(sp -= + sizeof(struct f_g0_save)); + c = sp; + c->ret = f_g1; + goto g(i+3,sp); + +</pre> +̂悤Ȍ`ŁAIȃX^bNɕϊB͕ϊ̈łA̕@AႦNgXgȂǂpĂǂB +\verb+f_g1+ ́AĂяǒ̌płA\verb+g+ ł́A +<pre> + code g(int i,stack sp) { + goto (* ((struct + f_g0_save *)sp)->ret) + (i+4,sp); + } + +</pre> +̂悤ɊԐړIɌĂяoBX^bN̒́ApƒԕϐȂǂi[\̂łBX^bN̂̂́A +̍\̂i[郁łB +<p> +̕ϊ͎IɍsƂoAϊn\cite{c2cbc}邪Apx̕ϊn͂܂݂ȂB +݂͕ϊƁǍ̍œK͎͂蓮ōsKvB +<p> + +<hr> +<h3><a name="content012">CbCł̕sLq</a></h3> +sLqł̓^XN̐Ɠ@\̋LqɂȂBVerilog +VHDLȂǂł^XN̋LqAPOSIX Thread ł̓CuR[Ƃ{\tt pthread_create}{\tt pthread_mutex_lock}ȂǂB +<p> +̓Lq́A}jAFormal Description ŎĂB +ႦAȉ̂悤ȋLqłB +<p> +{\tt +The pthread_mutex_lock() function locks mutex. If the mutex +is already locked, the calling thread will block until the mutex becomes available. } +<p> +CbC ład-hoc ȕLqv~eBu͕Kvł͂ȂAgŕsLq邱Ƃ\łB́AR[hZOgɂ͉Bꂽ݂Ȃ̂ŁAsɕKvȏׂInput +interface 擾ł邩łB +<p> +sL[쐬CbĈSchedulerLq邱ƂɂA +sLqB̏ꍇ̕sPʂ̓R[hZOgƂȂBgoto KIscheduler ւgotoɏ邱ƂɂAsLq邱ƂoB +<p> +ȉ́ACbCŋLq Dining Philosopher ̏Ԃ̈ꕔłB +<pre> + code pickup_rfork(PhilsPtr self) + { + if (self->right_fork->owner == NULL) { + self->right_fork->owner = self; + goto eating(self); + } else { + goto hungry2(self); + } + } + +</pre> +s邽߂ɂ́A +<p> + +<pre> + code pickup_rfork(PhilsPtr self, TaskPtr current_task) + { + if (self->right_fork->owner == NULL) { + self->right_fork->owner = self; + self->next = eating; + goto scheduler(self, current_task); + } else { + self->next = hungry2; + goto scheduler(self, current_task); + } + } + +</pre> +Ƃ`ɋLqςBScheculer ̎͗ႦAFIFOłA +<p> + +<pre> + code scheduler(PhilsPtr self, TaskPtr list) + { + TaskPtr t = list; + TaskPtr e; + list = list->next; + goto list->phils->next(list->phils,list); + } + +</pre> +Ƃ`ɂȂB̂悤ɎgŕsXPW[Lqł邱ƂCbC̓łB@\ł邪Ał{\tt right_fork}̔ŕA +R[hZOgɎs邱Ƃ͂Ȃ̂ŁAIɕۏĂBtϐ̂悤ȑ҂킹ꍇ́A +TaskPtr ւ̑ƂĎΗǂB +<p> + +<hr> +<h3><a name="content013">CbCł̕s̎</a></h3> +FIFO scheduler Ⴆ Cell SPUactive task queue ւ̑}ƂAactive task queue eSPUIɎ擾悤ɂ(SPU scheduler)ƁAۂCbC̃R[hZOgs邱ƂoB +<p> +FIFO schedulerƎۂ̕s̓@\v悤ɂ̂́AʓIɂ͎ł͂ȂB@\R[hZOgŋLq +āASPU scheduler ɂĎĂǂAR[hZOg +ŁAႦA{\tt pthread_mutex_lock}ĂяoĂǂB +<p> + +<hr> +<h2><a name="content014">CbCłCell̃vO̗</a></h2> +CbCpāAMany Core Architecture ̃vO쐬闬͈ȉ̂悤ɂȂB +<p> + +<pre> + 1. C ɂASYV[PVɋLq + 2. f[^pɕ\ɕύX + 3. C̋LqCbC̋Lqɕϊ(Kvȕ̂݁B蓮) + 4. R[hZOgspɕ + 5. FIFOXPW[ɂ蓮mF + 6. SPUXPW[ɂCellł̓mF + +</pre> +̊eߒׂĂŃG[\B܂A +_IȃG[ȂAdlɉ\Ȑ\o邩ǂKvB +<p> +1 ̒iK͒ʏC̃vO~OłA̕ƓƂK{łB̒iKł́A͂ɑďo͂ӂɌ܂łAeXg͗eՂłBoOsg[X̓@ɂeՂɍsƂoB +<p> +4iK܂ł̓vOϊ̖łAO̒iKƓʂ邩ǂKvB +<p> +5 iKȑO̓A[LeN`ɈˑȂ̂ŁA^[Qbg +Jr̒iKłLq邱Ƃ\łBA +5iKł́AFIFOXPW[̑ւɁARandomXPW[ȂǂgƂłAsL̔IȎsB +<p> +IȎśANbNx[X̃n[hEFAł͓͂̔CӐ琶邱ƂBn[hEFAł̃^XNgpAOEƑݍpꍇ͔IȎsB +<p> +iK5ł́A̔IȎsł4iK܂łƓdlƂKvB́A +^̃vOł͏oėȂłB +<p> +iK6ł́AiK5܂łƓĂAȂ삷Ɗ҂BAFIFOXPW[SPUXPW[ł́A@\̎قȂ邱ƂB́AsƓ@\̗̂xƈӖ_قȂ邽߂ɋNƍlB +<p> +ŁAiK1dlłiK5łƍl邱ƂłBۂ̃vOƂ͕ʂɁA +sɖė~dl̋LqꍇB +̋Lq́AႦAuvZIv +̎_IȋLqɂȂB_ƂẮA +LTTL\cite{LTTL}, CTL*\cite{CTL}, ITL\cite{ITL}ȂǂgƂłB +<p> + +<hr> +<h2><a name="content015">CbCłCell̃vǑ</a></h2> +CbCł̌́AvO쐬̊eiKōsB +CbC ł͎svf̓R[hZOgłAInput interface ̒lɂ蓮͈ӂɌ܂B +]āA̓R[hZOgPʗǂBR[hZOg +̐̓eXg邢͏ؖsׂłB +<p> + +<hr> +<h3><a name="content016">R[hZOg̓o̓eXg</a></h3> +́Aʏ̃vÕeXg@ƓłA +FIOXPW[O̒iKł́A͂Əo͂ɑΉeXgsB +<p> +R[hZOgɃeXgf[^쐬ׂł邪Aʂ̐mFvOKvƂꍇB +<p> +f[^yуR[h̕IiKł́Af[^Multi Core CPUANZXł悤ɃRs[R[h邱ƂB̃Rs[́AFIFOXPW[xł́A|C^nɔĂǂBA +Rs[R[ĥɃG[oꍇBႦA +Cellł́AMFCɂDMA64bit alignmentKvłA +ꂪȂƗOĂ܂B +<p> + +<hr> +<h3><a name="content017">FIFOXPW[xł̃eXg</a></h3> +FIFOXPW[x̃eXgł́A萫BCell ł͑gݍ܂ꂽSPÚAׂČIɓ삷邪Af[^ɂSPỦZ̏Iʂ͈قȂAʓIɔ萫B +<p> +̔萫AԗIɒׂ邱Ƃ\łA +f\cite{model-checker}ƌĂB +<p> +CbCł́AԂL^ȂAׂẲ\ȔIss +XPW[邱Ƃ\łB +<p> + +<pre> + Ԃf[^x[X璲ׂ + łɂAȌԂɖ߂đ̎sT + ȂAi[sɐiݏԂT + +</pre> +Ƃ`łBۂ͈̎ȉ̂悤ɂȂĂB +<p> + +<pre> + code tableau(TaskPtr list) + { + if (lookup_StateDB(&st, &state_db, &out)) { + // found in the state database + printf("found %d\n",count); + while(!(list = next_task_iterator(task_iter))) { + // no more branch, go back to the previous one + TaskIteratorPtr prev_iter = task_iter->prev; + if (!prev_iter) { + printf("All done count %d\n",count); + .... + } + printf("no more branch %d\n",count); + depth--; + free_task_iterator(task_iter); + task_iter = prev_iter; + } + // return to previous state + // here we assume task list is fixed, we don't have to + // recover task list itself + restore_memory(task_iter->state->memory); + printf("restore list %x next %x\n",(int)list,(int)(list->next)); + } else { + // one step further + depth++; + task_iter = create_task_iterator(list,out,task_iter); + } + goto list->phils->next(list->phils,list); + } + +</pre> +̌،ńASPUg@œɂ́ASPŨL^Ȃǂ̍HvKvƂȂB܂ATԂcɂȂꍇB +<p> +TԂɂ́As̗x傫ȀԂ𒊏ۉ肷@lB̎@́ACbCgŋLq邱Ƃ\łB +<p> + +<hr> +<h2><a name="content018">{@̗_ƌ_</a></h2> + +<hr> +<h2><a name="content019">wɂۂ̎̌</a></h2> +ϊ̓rad-hoc ȃR[h +<p> +eXgȂ +<p> + +<hr> +<h2><a name="content020">CbCp؎@Ƒ̎@Ƃ̔r</a></h2> +C̊ɂ镪 +<p> +SPIN +<p> +Java PathFinder +<p> + +<h2><a name="content">Content</h2> +<ol> +<li><a href="#content000"> title-e: Self descriptive verfication in Continuation based C and it's application to Cell architecture</a> +<li><a href="#content001"> abstract-e:</a> +<li><a href="#content002"> Multi core system</a> +<li><a href="#content003"> Many Core ̃vO̓</a> +<li><a href="#content004"> Iȕx̕Kv</a> +<li><a href="#content005"> vOƃf[^̕</a> +<li><a href="#content006"> ̖</a> +<li><a href="#content007"> }`Xbh</a> +<li><a href="#content008"> fobO</a> +<li><a href="#content009"> Many Core ̃vO̍</a> +<li><a href="#content010"> Continuation based C</a> +<li><a href="#content011"> CCbCւ̕ϊ</a> +<li><a href="#content012"> CbCł̕sLq</a> +<li><a href="#content013"> CbCł̕s̎</a> +<li><a href="#content014"> CbCłCell̃vO̗</a> +<li><a href="#content015"> CbCłCell̃vǑ</a> +<li><a href="#content016"> R[hZOg̓o̓eXg</a> +<li><a href="#content017"> FIFOXPW[xł̃eXg</a> +<li><a href="#content018"> {@̗_ƌ_</a> +<li><a href="#content019"> wɂۂ̎̌</a> +<li><a href="#content020"> CbCp؎@Ƒ̎@Ƃ̔r</a> +</ol> + +</body></html>
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/manycore.ind Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,684 @@ +-title: 検証を自身で表現できるハードウェア、ソフトウェア記述言語 Continuation based C と、そのCell への応用 + +-author: 河野真治 + +-title-e: Self descriptive verification in Continuation based C and it's application to Cell architecture + +-abstract-e: + +CPU performance is achieved in Many Core Architecture rather than +high clock speed recently. The complicated nature of this +architecture makes reliable program difficult. We present a +subset of C Programming Language with continuation: Continuation based C +to make a program for Many Core Architecture. We use this method +for a rendering engine ``Cerium'' for Cell Broadband Engine. + +-abstract: + +近年、CPUの性能向上は、クロックサイクルをあげることよりも、 +複数のCPUコア(Many Core Architecture)を導入することにより +得られるようになって来てい +る。しかし、Many Core Architecture のプログラムは複雑であり、 +その信頼性を確保することは難しい。本論文では、本研究室で開 +発した Cのサブセット であるContination based C を用いて、Many +Core Architecture のプログラミングと、その検証を行う手法に +ついて考察する。ここでは例題として、Cell Broadband Engine +を用いたレンダリングエンジンを用いる。 + +-abstract-e: + + + +--Multi core system + +複数のCPUを載せたコンピュータは昔から使われて来たが、最近の +傾向は、一つのChipに複数のCPUコアを載せたものの登場である。 +従来のマルチプロセッサは同期をサポートしたキャッシュを経由し +メインメモリにアクセスすることが多いが、最近開発されたMulti +Core では、CPU間の通信に特別なポートを用意している。 +例えば、IntelはQuick Pathと言う通信ポートががある。 +これにより、メインメモリへのアクセスによる競合を避けることが +できる。しかし、その分、複雑なプログラミングが必要となる。 + +Cell Broadband Engine\cite{Cell} は、SCEIとIBMによって開発された +PS3ゲーム +機用のCPUであり、2 thread のPPU(PowerPC Unit)と、8個のSPU (Synergetic +Processing Unit) を持つ(図\ref{cellarch})。本研究で用いたPS3Linux (FedoreCore 6) +では、6個のSPUを使うことが出来る。SPUはそれぞれ256kbのローカル +メモリを持ち、バスに負担をかけることなく並列に計算を進めること +が出来る。SPUからメインメモリへは、SPUの機械語から直接アクセス +することは出来ず、CellのMFC(Memory Flow Controller)へDMA +(Direct Memory Access) 命令を送ることで行われる。 +SPUはグラフィックスに適した、4つの固定小数点、浮動小数点を同時に +演算する命令などを持ち、PPUに比べて高速な演算が可能であり、 +ほとんどの演算をSPU上で進めることが推奨されている。 + +<center><img src="fig/cell.jpg" alt="cellarch"></center> + +--Many Core 上のプログラムの特徴 + +従来の逐次型のプログラムでは、Many Coreの性能を十分に引き出す +ことは出来ない。ここでは、その性能を活かすMany Core プログラム +の特徴について考察する。ここでは、{\tt 定常的な並列度の必要性、 +データ並列、パイプライン実行、 +プログラムとデータの分割、 +同期の問題、 +マルチスレッド、 +デバッグ}に関して考察を行う。 + +---定常的な並列度の必要性 + +並列実行にはAmdahl則\cite{java-conncurrecy}があり、プログラムの並列化率が +低ければ、その性能を活かすことは出来ない。0.8 程度の並列化 +率では、6CPUでも3倍程度の性能向上しか得られない(\ref{amdahl})。 + +<center><img src="fig/amdahl.jpg" alt="amdahl"></center> + +高い並列 +度ではなくとも、恒常的に並列度を維持する必要がある。このため、 + + 逐次型のプログラムの一部を並列化する + +という手法では不十分である。LSIなどのハードウェア場合は演算の +対象がもともと多量の演算とデータパスを持つので並列計算の効果を +定常的に得られることが多いが、C等で記述されたプログラムでは、 +for 文や配列のアクセスなどに並列性が隠されてしまい、それを引き出す +ことが難しい。 + +プログラムの中の並列度は、主に二つの形で取り出すことが出来る。 +一つは、配列や木の中の個々の要素に対して並列に実行する + + データ並列 + +である。もう一つは、複数の逐次処理の隣同士を重ねて実行する + + パイプライン処理 + +である。この二つを同時に用いることで定常的な並列度を維持することが +可能となることがある。パイプライン処理は、プログラム中で階層的に +使われることが多い。 + +---プログラムとデータの分割 + +データ並列とパイプライン処理を可能にするためには、プログラムと +データの適切な分割を行う必要がある。for文、あるいは、木をだとって +処理する個々のステートメントがプログラムの分割の対象となる。 +データは自明に分割できるわけではなく、分割できるデータ構造を採用し、 +必要ならばコピーを行う。 + +分割されたデータは、メモリ上に置かれるが、Cellの場合はSPUのローカル +メモリ上に置かれることになる。共有メモリベースの場合でもキャッシュを +考慮した配置をする必要がある。具体的には、データのアライメントをそろ +える必要がある。メインメモリ上で計算を行う逐次型プログラムと異なり、 +コピーのコストを払ってでもデータを分割し、複数のCPUで独立に処理する +必要がある。特に、DMA中心のアクセスになるCellの場合は、 +コピーしやすいように、数Kbyte毎の配列にする方が良い。 + +Cellの場合はさらにコードもローカルメモリ上に置かれるために、 +コードをロードする仕組みも必要になる。 + +---同期の問題 + +ここで言う同期は、複数のCPUがデータの待ち合わせ、または、整合性を +維持するために、他のCPUとの待ち合わせを行うことである。従来の +マルチCPUでは、並列度が低いために同期は希であり、キャッシュ上の +Spin lock を用いることが多かった。これは、メモリの特定の場所を +test and set 等の特殊な命令で繰り返しアクセスして待ち合わせる手法 +である。Unix OSのkernel、POSIX Thread など同期機構の実装に使われている。 + +Many Core では、待ち合わせを行うと並列度が下がってしまうので、 +同期自体を減らす必要がある。そのためには、各CPUが独立に(Lock無しに) +データにアクセス出来るようにデータを分割すれば良い。Cell では、 +SPUがローカルメモリを持っているので、そちらにコピーすることになる。 +しかし、SPUはメインメモリからデータを取得する必要があるので、その +取得の際には同期を取る必要がある。 +Cellでは、SPUとPPU間の同期にはMail box というFIFOメッセージ +キューが用意されていて、readch,writech という命令でSPUから +アクセスする。Spin lock と違って、メッセージ交換なので待ち合わせを +避けることが可能である。 + +共有メモリベースのシステムの場合でも、同じ場所をアクセスする場合は +キャッシュの競合が生じるので、コピーなどを用いて領域の分割を +行う必要がある。Thread local などを用いる場合もある。 + +複数のCPUが出力する結果を一つのキューに挿入するようなことをすると、 +挿入時に必ず同期が必要になるので同期のコストが高い。 + +---マルチスレッド + +従来の共有メモリ型のマルチCPUでは、POSIX Thread を用いて並列実行 +を実現することが多い。特にHyper Thread では、複数の命令ストリーム +を使って、メモリアクセス時等のの命令実行パイプラインのストールを +スレッドを切替えて隠すことが出来る。しかし、Many Core の場合に、 +個々のCoreに複数のThreadを割り当てるとワーキングセット(Threadが +使用するデータ)の大きさが大きくなりキャッシュやローカルメモリに +入らなくなる場合がある。 + +スレッド(Hyper Thread)は本来、I/O待ちやメインメモリアクセス等に対して +有効であり、ほとんどのデータがキャッシュやローカルメモリにあると +考えられるMany Coreには向いていない。個々のタスクを実行するCPU +上で複数のスレッドを使用するメリットはほとんどないと思われる。 +一方で、個々のCPUは細分化されたタスクを十分に持っていなければ +恒常的な並列度を維持できない。 + +一方で、同期機構で待ち合わせを行う場合に、Spin lockを避けるとすれば、 +条件付変数などのスレッドのタスクの待ち合わせ機構が必要となる。 + +Many Core の台数にも寄るが、実行するタスクの管理を行うマネージャー +を複数スレッドで構成し、そのうちの一つが、ポーリングベースで +複数のCoreに対する待ち合わせを行うようにするのが良いと思われる。 +Cellでは、SPURS\cite{spurs}という仕組みが提案されている。 + +---デバッグ + +複数のCoreを走らせた状態でのデバッグは難しい。並列プログラムの +特徴として、実行が非決定的(同じ状態で実行しても結果が異なる)こと +があり、バグの状態を再現することが難しいことがある。また、個々の +Core上のデータを調べる必要があり、デバッガが複数のCoreを取り扱える +ことが必須である。 + +--Many Core 上のプログラムの作り方 + +本論文では、本研究室で作成したPS3上のレンダリングエンジンであるCerium +Rendering Engine を例題として使う。詳細は別な論文\cite{kono08b} +に譲り、ここでは簡単に記述する。 + +Cerium は、Scene Graph (3Dオブジェクトを木構造にしたもの)をフレームバッファ +上にSPUを用いて描画するRendering Engine であり、教育用としてシンプルな +構成を持っている。Cerium は、 + + 1. Scene GraphのPolygonの座標から表示する + 2. 座標の計算を行い PolygonPack を生成する + 3. PolygonPack から、同じY座標を持つ線分の集合SpanPackを生成する + 4. SpanPackを(Texture を読込ながら)Z bufferを用いて描画する。 + +という4つのタスクを持つ。並列実行は、Scene Graphの木、PolygonPack, +SpanPack に対してデータ並列実行を行う。さらに、この4つが表示画面毎に +パイプライン的に実行される。 + +これらのタスクは、SPUで実行するために小さなセグメントに分割される +必要がある。分割されたタスクを、PPUまたはSPUで実行するのは +Cerium task manager である。Task manager はタスク依存を解決する +機能を持っていて、タスク依存が満たされたものをアクティブキューに +入れ、SPUを起動する。SPUはアクティブキューから、処理するコードと +データを取得し自律的に実行を行う。 + +Cerium Rendering engine を作るには、以下の手順に +実装とテストを行う。 + + 1. 普通のCで実装した Rendering algorithm + 2. データ構造(PolygonPack, SpanPack)を導入したもの + 3. コードをタスクに分割し、FIFOキューでシーケンシャルに実行する + 4. タスクをSPUに割り当て並列実行する + +これにより、Algorithmの正しさを確認した上で並列実行に移行することが出来る。 + + +--Continuation based C + +CbC (Continuation based C)は、Cからサブルーチンやループ構造 +を除いたCの下位言語であり、ハードウェアとソフトウェア、特に +組込みシステムの記述言語として本研究室で提案している言語で +ある。 + +Cの関数の代わりに、 +たコード・ +セグメントという単位を持つ。コードセグメントには、入口に相当する +Input interface と、出口に相当するParameterized goto 文が存在する。 + +<center><img src="fig/code.jpg"></center> + +以下は簡単なCbCのプログラムである。 + + code fact(int n,int result, + code print()){ + if(n>0){ + result *= n; + n--; + goto fact(n,result,print); + } else + goto (*print)(result); + } +間接gotoと、直接gotoが、プログラムの単位の結び付きをボトムアップに +規定して、自然なグループを構成する。 + +CbCの継続は、Schemeなどの継続とは異なり環境(関数の呼び出し履歴)を持たない。 +コードセグメントは、関数呼び出しではないので環境を持つ必要がない。 + +Cにコードセグメントと引数つきgoto文を付加したCwCは、Cのスーパセット +であり、 +コードセグメント内から通常のCの関数を呼び出すことも可能ある。また、 +通常の関数からコードセグメントへgotoしたり、コードセグメントから、 +呼び出された関数へ値を戻すことも出来る。 + +コードセグメントは状態遷移記述と対応しているので、ハードウェア記述 +とも相性が良い。 + +CbCコンパイラは、micro-C base のものと GCC base, TCC base のものが +動いており、実用的に使うことができる。{\tt sourceforge.jp} 上\cite{cbc-sourceforge}で公開されている。 + + +---CからCbCへの変換 + +Cのスタックを明示的に構成することによりCのプログラムをCbCに +変換することが可能である。 + + j = g(i+3); + +のようなCの関数呼び出しは、 \verb+struct f_g0_save+ などの +明示的なスタックの中身を表す構造体を用いて、 + struct f_g0_interface *c = + (struct f_g0_save *)(sp -= + sizeof(struct f_g0_save)); + c = sp; + c->ret = f_g1; + goto g(i+3,sp); +のような形で、明示的なスタック操作に変換される。これは変換の +一例であり、他の方法、例えばリンクトリストなどを用いても良い。 +\verb+f_g1+ は、関数呼び出しの後の継続であり、\verb+g+ では、 + code g(int i,stack sp) { + goto (* ((struct + f_g0_save *)sp)->ret) + (i+4,sp); + } +のように間接的に呼び出される。スタックの中は、継続と +中間変数などを格納する構造体である。スタックそのものは、 +これらの構造体を格納するメモリである。 + +これらの変換は自動的に行うことが出来き、試作変換系を実装した +報告\cite{kono01g}もあるが、実用レベルの変換系はまだ存在しない。 +現在は変換と、その後の最適化はは手動で行う必要がある。 + +---CbCでの並列実行記述 + +並列実行記述ではタスクの生成と同期機構の記述が問題になる。Verilog +やVHDLなどでも並列タスクの記述があり、POSIX Thread ではライブラリ +コールとして\verb+pthread_create+や\verb+pthread_mutex_lock+などが +ある。 + +これらの動作記述は、マニュアルやFormal Description で示されている。 +例えば、以下のような記述である。 +{\tt +The pthread\_mutex\_lock() function locks mutex. If the mutex +is already locked, the calling thread will block until the +mutex becomes available. +} + +このようは記述は曖昧で誤解を招きやすい。しかし、同期機構の検証 +では、これらの動作の正確な意味を知る必要がある。 + +CbC ではad-hoc な並列記述プリミティブは必要ではなく、自分自身で +並列実行を記述することが可能である。これは、コードセグメントには +隠された情報が存在しないので、実行に必要な情報をすべてInput +interface から取得できるからである。 + +実行キューを作成しCbC自体でSchedulerを記述することにより、 +並列実行を記述する。この場合の並列実行単位はコードセグメン +トとなる。goto 文を規則的にscheduler へのgoto文に書き換える +ことにより、並列実行を記述することが出来る。 + +以下は、CbCで記述した Dining Philosopher の状態の一部である。 + code pickup_rfork(PhilsPtr self) + { + if (self->right_fork->owner == NULL) { + self->right_fork->owner = self; + goto eating(self); + } else { + goto hungry2(self); + } + } + +これを並列実行するためには、 + + code pickup_rfork(PhilsPtr self, TaskPtr current_task) + { + if (self->right_fork->owner == NULL) { + self->right_fork->owner = self; + self->next = eating; + goto scheduler(self, current_task); + } else { + self->next = hungry2; + goto scheduler(self, current_task); + } + } + +という形に記述を変える。Scheduler の実装は例えば、FIFOであれば、 + + code scheduler(PhilsPtr self, TaskPtr list) + { + TaskPtr t = list; + TaskPtr e; + list = list->next; + goto list->phils->next(list->phils,list); + } + +という形になる。このように自分自身で並列実行スケジューラを +記述できることがCbCの特徴である。同期機構であるが、ここでは +\verb+right_fork+の排他制御は、 +コードセグメントが同時に実行されることはないので、自動的に +保証されている。条件付変数のような待ち合わせを実現したい場合は、 +TaskPtr への操作として実現すれば良い。 + +---CbCでの並列実行の実装 + +FIFO scheduler を例えば Cell のSPUのactive task queue への +挿入とし、active task queue を各SPUが自律的に取得するように +する(SPU scheduler)と、実際にCbCのコードセグメントを並列実 +行することが出来る。 + +FIFO schedulerと実際の並列実行の同期機構が一致するようにする +のは、一般的には自明ではない。同期機構をコードセグメントで記述 +して、SPU scheduler によって実現しても良いし、コードセグメント +内部で、例えば、\verb+pthread_mutex_lock+を呼び出しても良い。 + + +--CbCでのCellのプログラムの流れ + +CbCを用いて、Many Core Architecture のプログラムを作成する +流れは以下のようになる。 + + 1. C によりアルゴリズムをシーケンシャルに記述する + 2. データを並列用に分割した構造に変更する + 3. Cの記述をCbCの記述に変換する(必要な部分のみ。手動) + 4. コードセグメントを並列実行用に分割する + 5. FIFOスケジューラにより動作を確認する + 6. SPUスケジューラによりCell上での動作を確認する + +これらの各過程すべてでエラーが入る可能性がある。また、 +論理的なエラーだけなく、仕様に沿った十分な性能が出るか +どうかも検証する必要がある。 + +1 の段階は通常のCのプログラミングであり、この部分がちゃんと +動くことが必須である。この段階では、入力に対して出力が +一意に決まる状況であり、テストは容易である。バグも +実行トレースの二分法により容易に行うことが出来る。 + +4段階まではプログラム変換の問題であり、一つ前の段階と +同じ結果を得られるかどうか検証する必要がある。 + +5 段階以前はアーキテクチャに依存しないので、ターゲット +が開発途中の段階でも記述することが可能である。しかし、 +5段階では、FIFOスケジューラの替わりに、Randomスケジューラ +などを使うことができ、並列実行特有の非決定的な実行が +導入される。 + +非決定的な実行は、クロックベースのハードウェアでは +入力の任意性から生じることが多い。ハードウェアでも +複数のタスクを使用したり、外界と相互作用する場合は +非決定的な実行が現れる。 + +段階5では、これらの非決定的な実行でも4段階までと +同じ仕様を満たすことを検証する必要がある。これは、 +逐次型のプログラムでは出て来ない問題である。 + +段階6では、段階5まできちんと動いていれば、問題なく +動作すると期待される。しかし、FIFOスケジューラと +SPUスケジューラでは、同期機構の実現が異なることが +ある。これは、並列実行と同期機構のの粒度と意味論 +が異なるために起きると考えられる。 + +ここで、段階1が仕様であり段階5が実装であると +考えることもできる。実際のプログラムとは別に、 +実行時に満たして欲しい仕様の記述がある場合もある。 +これらの記述は、例えば、「計算がいつか終る」 +等の時相論理的な記述になる。時相論理としては、 +LTTL\cite{wolper82}, CTL*\cite{synBTTL}, ITL\cite{kono93b} +などを使うことができる。 + + +--CbCでのCellのプログラムの検証 + +CbCでの検証は、プログラム作成の各段階で行われる。 +CbC では実行要素はコードセグメントであり、その +Input interface の値により動作は一意に決まる。 +従って、検証はコードセグメント単位良い。コードセグメント +内部の正当性はテストあるいは証明こ行われるべきである。 + +---コードセグメントの入出力テスト + +これは、通常のプログラムのテスト手法と同じであり、 +FIFOスケジューラを導入する前の段階では、入力と +出力に対応するテストを行う。 + +コードセグメント毎にテストデータを作成するべきで +あるが、結果の正しさを確認するプログラムを書く必要とする +場合もある。 + +データ及びコードの分割が終った段階では、データを +Multi Core CPUがアクセスできるようにコピーする +コードが入ることがある。このコピーは、FIFOスケジューラ +レベルでは、ポインタ渡しに避けても良い。しかし、 +コピーコード自体にエラーが出る場合も多い。例えば、 +Cellでは、MFCによるDMAは64bit alignmentが必要であり、 +これが満たされないと例外が発生してしまう。 + + +---FIFOスケジューラレベルでのテスト + +FIFOスケジューラレベルのテストでは、非決定性が +導入される。Cell では組み込まれたSPUは、すべて +決定的に動作するが、データによってSPUの演算の +終了結果は異なり、結果的に非決定性が生じる。 + +これらの非決定性を、網羅的に調べることも可能であり、 +モデル検査と呼ばれる。 + +CbCでは、状態を記録しながら、すべての可能な非決定的実行を行 +うスケジューラを実装することが可能である。 + + メモリ状態をデータベースから調べる + すでにあれば、一つ前の状態に戻して他の実行を探す + なければ、一段深い実行に進み状態を探す + +という形である。実際の実装は以下のようになっている。 + + code tableau(TaskPtr list) + { + if (lookup_StateDB(&st, &state_db, &out)) { + // found in the state database + printf("found %d\n",count); + while(!(list = next_task_iterator(task_iter))) { + // no more branch, go back to the previous one + TaskIteratorPtr prev_iter = task_iter->prev; + if (!prev_iter) { + printf("All done count %d\n",count); + .... + } + printf("no more branch %d\n",count); + depth--; + free_task_iterator(task_iter); + task_iter = prev_iter; + } + // return to previous state + // here we assume task list is fixed, we don't have to + // recover task list itself + restore_memory(task_iter->state->memory); + printf("restore list %x next %x\n",(int)list,(int)(list->next)); + } else { + // one step further + depth++; + task_iter = create_task_iterator(list,out,task_iter); + } + goto list->phils->next(list->phils,list); + } + +この検証系は、SPUを使った実機上で動かすには、SPU内部のメモリを記録 +するなどの工夫が必要となる。また、探索空間が膨大になる場合もある。 + +探索空間を小さくするには、並列実行の粒度を大きくしたり、メモリの +状態を抽象化したりする方法が考えられる。これらの手法は、CbC自身で +記述することが可能である。 + +--本手法の利点と欠点 + +CbCという特殊な処理系を使うことになるので、ソースの変更が +必要となる。現状では、C++には対応していない。 + +コードセグメントのテストをSingle core上とMulti core 上の +両方でテスト出来るので、Multi coreになれていなくても、 +動作のテストが容易である。また、Multi core になれるための +準備、教育的ツールとして使うことも出来る。アルゴリズム +の正しさを並列実行とは別にテスト出来るのが利点である。 + +CellはヘテロなMulti Coreであり、 +SPU では、その性能を活かすためには、特殊なアセンブラ命令、 +例えば4つの浮動小数点の値の同時演算などを使用する必要がある。 +これらは、gcc の拡張あるいはasmステートメントなどで使用する +ことができるが、他のアーキテクチャ上では動作しない。 +従って、同じ機能を持つコードセグメントで代用してテスト +することになる。異なるアーキテクチャでの異なるコードセグメント +の同等性を直接テストすることは出来ない。 + +Many Core 向けのデータ分割、コード分割は自動ではないので、 +試行錯誤することになる。必要な性能が出るかどうかは、 +分割のために生じるコピーのコストなどの要素が関係し、 +アーキテクチャに依存するのでSingle Core上のテストで +見積もることは難しい。 + +データ分割、コード分割が手動なので間違いが入りやすい。 +FIFOスケジューラレベルで、Single Coreと同等な動作を +する場合は、このようなエラーを見つけるのは容易である。 + +しかし、非決定的な動作をする場合は、自明な動作比較をする +ことは出来ず、モデル検査などのコストの高い方法を使う +必要が出て来る。コードセグメントレベルのモデル検査は +実機上の同期動作との差があるので、正確ではない。 + +モデル検査のコストが重い場合は、スケジューラを挟む +部分を大まかにして状態数を減らす手法が使える。正確さは +落ちるが、高速に検査することが出来る。 + +スケジューラを挟む部分の変更は手動であり、マクロあるいは +スクリプトで生成する必要がある。 + +--学生による実際の実装の現状 + +本手法を、PS3 Linux 上のSPUを用いた 3D Rendering Engine +の作成に適用した。詳細は別な論文で述べるので、ここでは +学生の反応について報告する。 + +Single Core でプログラムを動作させることは容易である。これは、 +従来のプログラムと差がないからであり、学生にとっては入りやすい。 +データとコードの分割を自力で求めるのは、並列処理の経験がない +学生には難しい。なんらかのひな型か指示が必要である。 + +FIFOスケジューラから、SPUスケジューラを実装する時点で、 +なるべく早く動かそうとするために ad-hoc なコードが入りやすい。 +特に、一旦、SPUスケジューラに移ってしまうと、元の +ソースを +FIFOスケジューラ/Single Core 上で動かすことを考慮せずに +変更を加えてしまう。そのような場合は、この方法のメリット +である、並列実装部分のバグと、アルゴリズム/データ分割のバグ +を分離することが出来なくなってしまう。しかし、常に +両方で動作させるように変更するのは、手間がかかることも +確かである。 + +データやコードの分割において、Cellでは6個のSPUを使うことが +出来るが、必ず6個に分割することを仮定してプログラムを書いて +しまうという問題も見られた。分割したコードにどれだけの +Coreを割り振るかは、後で調整する必要があるので、必ず +最大値を使うとは限らない。 + +--CbCを用いた検証手法と他の手法との比較 + +コードセグメントを使わずに、Cの関数による分割を行って +も良い。この場合は、分割された関数を順々に呼び出す +マネージャを記述する必要がある。CbCのようにモデル検査を +自分で記述するようなことは出来ないが、分割に関しては +同等である。 + +モデル検査では SPIN\cite{holzmann97model}が有名だが、SPINでは +問題を Promela という仕様記述言語で記述する必要があり、 +Promela を直接実装に使うことは出来ない。 + +実装言語を直接モデル検査するシステムとしては、 +Java PathFinder\cite{havelund98model}、 +CBMC\cite{groce04understanding}などが知られている。これらはオブジェクト指向 +記述に対しても適用できるという利点がある。 +これらで並列処理を記述する場合は、一般的にはThread の +機能を用いることになる。 + +CbCでは、スケジューラ及びモデル検査器を自分で記述出来るので、 +検査する並列性や抽象度を自分で制御できると言う利点がある。 +現状では、そういう可能性があるというだけで実装は行っていない。 + +現在用いているCbC用のモデル検査器は比較的単純に作られており、 +大きなプログラムの検証をするのには向かない。2.8GHz Pentinum 4 +では、Dining Philosphers の例題に対して以下のような性能が +出ている。 + +\begin{table}[htbp] +\begin{center} +\caption{Dining Philosophers ProblemのCbCによるモデル検査} +\label{tab:dpp_tableau} +\begin{tabular}{|r|r|r|} \hline +プロセス数 & 状態数 & 実行時間(秒) \\ \hline +3 & 1,340 & 0.01 \\ \hline +4 & 6,115 & 0.08 \\ \hline +5 & 38,984 & 0.66 \\ \hline +6 & 159,299 & 3.79 \\ \hline +7 & 845,529 & 27.59 \\ \hline +8 & 3915,727 & 199.80 \\ \hline +\end{tabular} +\end{center} +\end{table} + +\begin{table}[htbp] +\begin{center} +\caption{SPINによるDining Philosophers Problemのモデル検査} +\label{tab:spin_dpp} +\begin{tabular}{|r|r|r|} \hline +プロセス数 & 状態数 & 実行時間(秒) \\ \hline +5 & 94 & 0.008 \\ \hline +6 & 212 & 0.01 \\ \hline +7 & 494 & 0.03 \\ \hline +8 & 1,172 & 0.04 \\ \hline +\end{tabular} +\end{center} +\end{table} + +\begin{table}[htbp] +\begin{center} +\caption{JPFによるDining Philosophers Problemのモデル検査} +\label{tab:jpf_dpp} +\begin{tabular}{|r|r|r|} \hline +プロセス数 & 状態数 & 実行時間(秒) \\ \hline +5 & 不明 & 3.98 \\ \hline +6 & 不明 & 7.33 \\ \hline +7 & 不明 & 26.29 \\ \hline +8 & 不明 & 123.16 \\ \hline +\end{tabular} +\end{center} +\end{table} + +Java Path Finder とSPINの丁度間の性能となっているが、プロセス数が +多くなると、Java Path Finder よりも性能が落ちる。これは、モデル +検査のための状態格納のアルゴリズムに問題があると考えている。 +SPINの性能が良いのは、元々の状態記述の抽象度が高く状態数そのものが +小さいからであると考えられる。 + +CbCの記述を変更して、スケジューラを呼び出す頻度を下げると、 +状態するが下がりSPINに近い性能を得ることも可能である。 +Java Path Finder では、そのような変更を行うことは原理的に +出来ない。 + +--まとめ + +May Core Architecture のプログラムを作成する手法として、 +シーケンシャルなCの記述を、CbCに分解する手法を提案し実践してみた。 +また、その手法に対するテスト及び検証法について述べた。 + +CbCでは、モデル検査部と実装部分を混在し、同時にプログラムすることが +出来るので、並列実行部分を作成しながら、それをテストするための +モデル検査部を作成していくことが可能である。 + +現在のモデル検査部で、SPIN と Java Path Finder の中間的な性能を +得ることが出来ているが、より高性能なアルゴリズムを実装する必要が +ある。 + +Cerium Rendering Engine はCell上で動作しているが、テスト及び +モデル検査は行っていないので、これらを実装して、実際の効果を +調べることが必要である。 + + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ohp.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,135 @@ +\documentstyle[blackandwhite,landscape,oval,pagenumbers]{NRslides} +% run this through SLiTeX +\input tgrindfi.tex +\raggedright +\begin{document} + +\title{{\bf 検証を自身で表現できるハードウェア、ソフトウェア記述言語 Continuation based C と、そのCell への応用}} +\author{ 河野真治 \\[5mm] +.Information Engineering, University of the Ryukyus +%% \today +\maketitlepage +\title{{\bf Self descriptive verfication in Continuation based C and it's application to Cell architecture}} +\begin{bwslide} +\ctitle{ Multi core system} +\end{bwslide} + + +\centerline{egin{figure}[htb] +egin{center} +includegraphics[width=6cm]{fig/cell.pdf} +\caption{cellarch} +nd{center} +\label{cellarch} +nd{figure} +} + +\begin{bwslide} +\ctitle{ Many Core 上のプログラムの特徴} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 定常的な並列度の必要性} +\end{bwslide} + + +\centerline{egin{figure}[htb] +egin{center} +includegraphics[width=6cm]{fig/amdahl.pdf} +\caption{amdahl} +nd{center} +\label{amdahl} +nd{figure} +} + +\begin{bwslide} +\ctitle{ プログラムとデータの分割} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 同期の問題} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ マルチスレッド} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ デバッグ} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ Many Core 上のプログラムの作り方} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ Continuation based C} +\end{bwslide} + + +\centerline{egin{figure}[htb] +egin{center} +includegraphics[width=6cm]{fig/code.eps} +nd{center} +\label{fig000} +nd{figure} +} + +\begin{bwslide} +\ctitle{ CからCbCへの変換} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでの並列実行記述} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでの並列実行の実装} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでのCellのプログラムの流れ} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでのCellのプログラムの検証} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ コードセグメントの入出力テスト} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ FIFOスケジューラレベルでのテスト} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 本手法の利点と欠点} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 学生による実際の実装の現状} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCを用いた検証手法と他の手法との比較} +\end{bwslide} + + + +\end{document}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/ohp00.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,140 @@ +\documentstyle[blackandwhite,landscape,oval,pagenumbers]{NRslides} +% run this through SLiTeX +\input tgrindfi.tex +\raggedright +\begin{document} + +\title{{\bf 検証を自身で表現できるハードウェア、ソフトウェア記述言語 Continuation based C と、そのCell への応用}} +\author{ 河野真治 \\[5mm] +.Information Engineering, University of the Ryukyus +%% \today +\maketitlepage +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} +\begin{bwslide} +\ctitle{ Multi core system} +\end{bwslide} + + +\centerline{\begin{figure}[htb] +\begin{center} +\includegraphics[width=6cm]{fig/cell.eps} +\caption{cellarch} +\end{center} +\label{cellarch} +\end{figure} +} + +\begin{bwslide} +\ctitle{ Many Core 上のプログラムの特徴} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 定常的な並列度の必要性} +\end{bwslide} + + +\centerline{\begin{figure}[htb] +\begin{center} +\includegraphics[width=6cm]{fig/amdahl.eps} +\caption{amdahl} +\end{center} +\label{amdahl} +\end{figure} +} + +\begin{bwslide} +\ctitle{ プログラムとデータの分割} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 同期の問題} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ マルチスレッド} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ デバッグ} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ Many Core 上のプログラムの作り方} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ Continuation based C} +\end{bwslide} + + +\centerline{\begin{figure}[htb] +\begin{center} +\includegraphics[width=6cm]{fig/code.eps} +\end{center} +\label{fig000} +\end{figure} +} + +\begin{bwslide} +\ctitle{ CからCbCへの変換} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでの並列実行記述} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでの並列実行の実装} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでのCellのプログラムの流れ} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCでのCellのプログラムの検証} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ コードセグメントの入出力テスト} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ FIFOスケジューラレベルでのテスト} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 本手法の利点と欠点} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ 学生による実際の実装の現状} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ CbCを用いた検証手法と他の手法との比較} +\end{bwslide} + + +\begin{bwslide} +\ctitle{ まとめ} +\end{bwslide} + + + +\end{document}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/presentation/manycore.html Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,622 @@ +<html> +<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=Shift_JIS"> +<head> +<title> gŕ\łn[hEFAA\tgEFALq \\ Continuation based C ƁACell ւ̉p</title> +</head> +<body> +<h1> gŕ\łn[hEFAA\tgEFALq \\ Continuation based C ƁACell ւ̉p</h1> +<a href=#content>content</a><br> +<nr> + +<p> + +<author> ͖^</author> + +<hr> +<h2><a name="content000">̖ړI</a></h2> +M̍vOɂ͂ǂǂ? +<p> + +<pre> + Concurrent Program + Real-time Program + Interactive Program + Network Program + +</pre> +AƏ͓̂B +<p> + +<hr> +<h2><a name="content001">vO̓APIɂ</a></h2> +System call ̈Ӗ? +<p> + +<pre> + The pthread_mutex_lock() function locks mutex. + If the mutex is already locked, the calling + thread will block until the mutex becomes available. + +</pre> + +<hr> +<h2><a name="content002">Cell SPŨAZu̓?</a></h2> + +<p> + +<pre> + fsmbi rt,symbol + The I16 field is used to create a mask in register + RT by making eight copies of each bit. Bits in + the operand are related to bytes in the result + in a left-to-right correspondence. + +</pre> + +<hr> +<h2><a name="content003">n[hEFALqɂ́AӖAPI͂Ȃ...</a></h2> + +<p> + +<pre> + ̓^C~ŐLq? + _ŋLqĂǂ... + bus_req bus_ack + ͂ǂӖł? + +</pre> + +<hr> +<h2><a name="content004">^ȏBĂ̂Ă</a></h2> + +<p> +^ȏ̗ +<p> + +<pre> + XPW[ + sӖ + Cxg̎ + ߂̑IӖ + OS̏ + Ăяo̊(X^bN) + +</pre> + +<hr> +<h2><a name="content005">^ȏBĂȂ...</a></h2> + +<p> +ȉ̂悤Ȃ̂Lqł悤ɂȂ +<p> + +<pre> + ^XNXPW[ + VXeR[̂̈Ӗ + _̈Ӗ\ԑJ + AZu̖߂̓ + +</pre> +̓AZuł͓OɋLqłĂ +<p> + +<pre> + AZuC̒ԓIȌꂪΗǂ + +</pre> + +<hr> +<h2><a name="content006">Continuation based C </a></h2> + +<p> +<center><img src="fig/code.jpg"></center> +<p> + +<pre> + Input Interface / Output Interface ͍\ + ĂяoȂ̂ŁABꂽȂB + [vrĂ̂ŁAԓIɂLB + +</pre> + +<hr> +<h2><a name="content007"> ȒPCbC̃vO</a></h2> + +<pre> + __code fact(int n,int result, + code print()){ + if(n>0){ + result *= n; + n--; + goto fact(n,result,print); + } else + goto (*print)(result); + } + +</pre> +while/do Ȃǂg邪ACbCł͊ĎgȂ +<p> + +<hr> +<h2><a name="content008">CbCBuilding blockƂĎg</a></h2> +{PʂXe[ggA傫 +<p> + +<pre> + Q[gA߁AXe[gg傫ȒP + +</pre> +ȃTu[`͌ +<p> + +<pre> + Tu[`ł + +</pre> +DȂƂɎRɕ +<p> +RpCBasic Blockɋ߂ +<p> + +<hr> +<h2><a name="content009">CbC̎g</a></h2> + +<pre> + ƂC̑ւɎg + A[LeN`ɈˑȂAZuƂ + VXeR[A@\̈Ӗ\ł + +</pre> + +<hr> +<h2><a name="content010">Reflection</a></h2> + +<p> +^f[^ɒڃANZXô +<p> +<center><img src="fig/meta.jpg"></center> +<p> +ƂA^f[^͒Pɕʂ̃f[^B +Interface ɂ]vȈɉ߂ȂB +<p> +R[hZOg̕tւReflection ɂȂB +<p> +<center><img src="fig/Reflection.jpg"></center> +<p> + +<hr> +<h2><a name="content011">^f[^̗</a></h2> + +<pre> + (V~[ṼNbN) + ^XNL[ (ʏOSɉBĂ) + (malloc A邢́AZȂ) + +</pre> + +<hr> +<h2><a name="content012">n[hEFALq</a></h2> + +<p> +ԑJڂLɂȂn[hEFALqƎvėǂ +<p> + +<hr> +<h2><a name="content013">Simulator Lq</a></h2> + +<pre> + PS2 Vector Unit + PS3 Cell SPU + +</pre> +ۂɍ쐬܂B +<p> +ASACbC ŏ̂͂... +<p> + +<hr> +<h2><a name="content014">C with Continuation</a></h2> +CƎRɍso +<p> + +<pre> + int main() { + goto a1(__return,__envrionment); + } + __code a1(__code *ret(int), void *env) { + goto ret(0),env; + } + +</pre> +KvȂƂ낾ACbCŋLqΗǂBCwC̒玩R C libraryĂяoėǂB +<p> + +<hr> +<h2><a name="content015"></a></h2> + +<pre> + micro-C base (tiny compiler, full set) + MIPS, PowerPC, ARM, IA32 + gcc base + A[LeN`ɈˑȂ (_Iɂ) + +</pre> +ACfA2002N... ́AN2B(OS +Ŕ\\) +<p> + +<hr> +<h2><a name="content016">gcc ̎</a></h2> +gcc tail call elimination forcing 邱ƂɂA +code segment B +<p> +̏dȂꎞϐʼnKvB +<p> + +<hr> +<h2><a name="content017">gcc CbC x`}[N</a></h2> +<table><tr><td>./conv1 0 <td>./conv1 1 <td>./conv1 2 <td>./conv1 3 +<tr><td>Micro-C <td>5.25 <td>8.97 <td>2.19 <td>2.73 +<tr><td>GCC <td>3.69 <td>4.87 <td>3.08 <td>3.65 +<tr><td>GCC (+omit) <td>2.74 <td>4.20 <td>2.25 <td>2.76 +<tr><td>GCC (+fastcall) <td>2.70 <td>3.44 <td>1.76 <td>2.34 +</table> +<p> +\5.1: Micro-C, GCC ̎sxr(Pʕb) +<p> +CbCɗLȃx`}[NȂ̂ŁAMicro C base \B +<p> + +<hr> +<h2><a name="content018">CCbCւ̕ϊ (C̃vO)</a></h2> + +<pre> + /* classical function call case (0) */ + f0(int i) { + int k,j; + k = 3+i; + j = g0(i+3); + return k+4+j; + } + g0(int i) { + return h0(i+4)+i; + } + h0(int i) { + return i+4; + } + +</pre> + +<hr> +<h2><a name="content019">CCbCւ̕ϊ (@BIȕϊ)</a></h2> + +<p> + +<pre> + typedef char *stack; + struct cont_interface { // General Return Continuation + __code (*ret)(); + }; + __code f(int i,stack sp) { + int k,j; + k = 3+i; + goto f_g0(i,k,sp); + } + struct f_g0_interface { // Specialized Return Continuation + __code (*ret)(); + int i_,k_,j_; + }; + __code f_g1(int j,stack sp); + __code f_g0(int i,int k,stack sp) { // Caller + struct f_g0_interface *c = + (struct f_g0_interface *)(sp -= sizeof(struct f_g0_interface)); + c->ret = f_g1; + c->k_ = k; + c->i_ = i; + goto g(i+3,sp); + } + __code f_g1(int j,stack sp) { // Continuation + struct f_g0_interface *c = sp; + int k = c->k_; + sp+=sizeof(struct f_g0_interface); + c = (struct f_g0_interface *)sp; + goto (c->ret)(k+4+j,sp); + } + __code g_h1(int j,stack sp); + __code g(int i,stack sp) { // Caller + struct f_g0_interface *c = + (struct f_g0_interface *)(sp -= sizeof(struct f_g0_interface)); + c->ret = g_h1; + c->i_ = i; + goto h(i+3,sp); + } + __code g_h1(int j,stack sp) { // Continuation + struct f_g0_interface *c = sp; + int i = c->i_; + sp+=sizeof(struct f_g0_interface); + c = (struct f_g0_interface *)sp; + goto (c->ret)(j+i,sp); + } + __code h(int i,stack sp) { + struct f_g0_interface *c = sp; + goto (c->ret)(i+4,sp); + } + struct main_continuation { // General Return Continuation + __code (*ret)(); + __code (*main_ret)(); + void *env; + }; + __code main_return(int i,stack sp) { + if (loop-->0) + goto f(233,sp); + printf("#0103:%d\n",i); + goto (( (struct main_continuation *)sp)->main_ret)(0), + ((struct main_continuation *)sp)->env; + } + +</pre> +(lԂ̂ł͂Ȃł....) +<p> + +<hr> +<h2><a name="content020">CCbCւ̕ϊ (蓮ōœK)</a></h2> + +<pre> + /* little optimizaed case (3) */ + __code f2_1(int i,char *sp) { + int k,j; + k = 3+i; + goto g2_1(k,i+3,sp); + } + __code g2_1(int k,int i,char *sp) { + goto h2_11(k,i+4,sp); + } + __code f2_0_1(int k,int j,char *sp); + __code h2_1_1(int i,int k,int j,char *sp) { + goto f2_0_1(k,i+j,sp); + } + __code h2_11(int i,int k,char *sp) { + goto h2_1_1(i,k,i+4,sp); + } + __code f2_0_1(int k,int j,char *sp) { + goto (( (struct cont_interface *)sp)->ret)(k+4+j,sp); + } + __code main_return2_1(int i,stack sp) { + if (loop-->0) + goto f2_1(233,sp); + printf("#0165:%d\n",i); + goto (( (struct main_continuation *)sp)->main_ret)(0), + ((struct main_continuation *)sp)->env; + } + +</pre> + +<hr> +<h2><a name="content021">CbC ́A@B̌</a></h2> + +<p> + +<pre> + ʂɏƋLqʂB(BȂ) + Ăяoɑ镔Iɕ + ڎg킸ɁAvOϊ⍂ʌꂩ琶Ďg + +</pre> +A +<p> +Q[vOAn[hEFALq́Â炻... +<p> + +<hr> +<h2><a name="content022">s̋Lq</a></h2> +R[hZOĝ͕sȂ +<p> +s邽߂ɂ́AŃXPW[ +<p> +code segment interleavingӖ_ɂȂ +<p> + +<pre> + 킩₷ (?) + +</pre> +sôŁApl +<p> + +<hr> +<h2><a name="content023">Many Core ̃vOւ̉p</a></h2> +]̒vO~O + ł́A +\oȂB +<p> +ǂ̂悤Ɏėǂ킩ȂB +<p> +KMbvB +<p> + +<pre> + z < for < pointer < < U + +</pre> + +<hr> +<h2><a name="content024">Amdahl's Law</a></h2> + +<p> +ƂɂÂׂ܂ȂɓKvB +Amdahl's LawB(n[hEFAł͓O...) +<p> +<center><img src="fig/amdahl.jpg"></center> +<p> +Ax͂قǍȂĂǂ(Multi Corex)6-10xŗǂB32xŏ\B +<p> + +<hr> +<h2><a name="content025">{IȐ헪</a></h2> +f[^ +<pre> + f[^̕ + +</pre> +pCvC(Kw\) +<pre> + pCvCi̕ + +</pre> +^XN̈ˑ +<pre> + ł̂s + +</pre> +f[^t[}VƂ_NV}VƂ̋Zp +<p> + +<hr> +<h2><a name="content026">wɂ킩₷...</a></h2> +Ŏĝ +<p> + +<pre> + 1. ŏCŏ + 2. f[^ƃR[h + 3. FIFOXPW[ŎsmF + 4. SPUXPW[Ɉڍs + ꔭœ + ... + ƌ킯ɂ͂Ȃ + +</pre> + +<hr> +<h2><a name="content027"></a></h2> + +<p> +PS3Linux ̃_OGW +<p> + +<pre> + t[obt@ɒڕ` + ڍׂ́A_W̔\... + +</pre> +Sony RSX (GDP)̃ANZXĂȂ̂Ŏō +<p> +wGraphics̊{₷悤 +<p> +Open/GL (OSMesa) AxꂩG +<p> + +<hr> +<h2><a name="content028">code segment ̒P̃eXg</a></h2> + +<pre> + ͂Əo͂̃ZbgĒׂΗǂ + + +</pre> + +<hr> +<h2><a name="content029">FIFOXPW[ł̃eXg</a></h2> + +<p> + +<pre> + IɓBŏC̓̈v̌e + +</pre> +ۂCellŎsꍇɂ͔IȎsɂȂ +<p> + +<pre> + Task̏IԂ̕s萫Ȃ + \ȏԂŐ삷Kv + +</pre> + +<hr> +<h2><a name="content030">萫ꍇ̃eXg</a></h2> + +<p> +f=݂Ԃ +<p> +vZʓIɖ͂邪.... +<p> + +<hr> +<h2><a name="content031">݂Ԃ</a></h2> +XPW[f؊ɓꊷB +<p> +fؕƔeXǵAx (CbC R[hZOg) +<p> +\ȃeXgo悤ɁAΏۃvOɓKf؊ōB +<p> + +<hr> +<h2><a name="content032">삷ƂLq</a></h2> +XPW[ɖߍ +<p> +_ CbC ɕϊ +<p> + +<hr> +<h2><a name="content033">܂Ƃ</a></h2> +CbCƂAZuC̊Ԃ̌܂B +<p> +px̃RpCAJĂ܂B +<p> +PS3pCerium Rendering Engine Lq +<pre> + ڍׂ͎̔\... + +</pre> + +<hr> +<h2><a name="content034">ꂩ...</a></h2> + +<p> +CbCn[hEFAڐ (co-synthesis) +<p> +CCbCւ̕ϊ̍쐬 +<p> +gcc ̃[X +<p> + +<h2><a name="content">Content</h2> +<ol> +<li><a href="#content000"> ̖ړI</a> +<li><a href="#content001"> vO̓APIɂ</a> +<li><a href="#content002"> Cell SPŨAZu̓?</a> +<li><a href="#content003"> n[hEFALqɂ́AӖAPI͂Ȃ...</a> +<li><a href="#content004"> ^ȏBĂ̂Ă</a> +<li><a href="#content005"> ^ȏBĂȂ...</a> +<li><a href="#content006"> Continuation based C </a> +<li><a href="#content007"> ȒPCbC̃vO</a> +<li><a href="#content008"> CbCBuilding blockƂĎg</a> +<li><a href="#content009"> CbC̎g</a> +<li><a href="#content010"> Reflection</a> +<li><a href="#content011"> ^f[^̗</a> +<li><a href="#content012"> n[hEFALq</a> +<li><a href="#content013"> Simulator Lq</a> +<li><a href="#content014"> C with Continuation</a> +<li><a href="#content015"> </a> +<li><a href="#content016"> gcc ̎</a> +<li><a href="#content017"> gcc CbC x`}[N</a> +<li><a href="#content018"> CCbCւ̕ϊ (C̃vO)</a> +<li><a href="#content019"> CCbCւ̕ϊ (@BIȕϊ)</a> +<li><a href="#content020"> CCbCւ̕ϊ (蓮ōœK)</a> +<li><a href="#content021"> CbC ́A@B̌</a> +<li><a href="#content022"> s̋Lq</a> +<li><a href="#content023"> Many Core ̃vOւ̉p</a> +<li><a href="#content024"> Amdahl's Law</a> +<li><a href="#content025"> {IȐ헪</a> +<li><a href="#content026"> wɂ킩₷...</a> +<li><a href="#content027"> </a> +<li><a href="#content028"> code segment ̒P̃eXg</a> +<li><a href="#content029"> FIFOXPW[ł̃eXg</a> +<li><a href="#content030"> 萫ꍇ̃eXg</a> +<li><a href="#content031"> ݂Ԃ</a> +<li><a href="#content032"> 삷ƂLq</a> +<li><a href="#content033"> ܂Ƃ</a> +<li><a href="#content034"> ꂩ...</a> +</ol> + +</body></html>
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/presentation/manycore.ind Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,484 @@ +-title: 検証を自身で表現できるハードウェア、ソフトウェア記述言語 \\ Continuation based C と、そのCell への応用 + +-author: 河野真治 + +--研究の目的 + +信頼性の高いプログラムを書くにはどうしたら良いか? + + Concurrent Program + Real-time Program + Interactive Program + Network Program + +を、ちゃんと書くのは難しい。 + +--プログラムの難しさはAPIにある + +System call の意味は? + + The pthread_mutex_lock() function locks mutex. + If the mutex is already locked, the calling + thread will block until the mutex becomes available. + +--Cell SPUのアセンブラの動作は? + + fsmbi rt,symbol + + The I16 field is used to create a mask in register + RT by making eight copies of each bit. Bits in + the operand are related to bytes in the result + in a left-to-right correspondence. + +--ハードウェア記述には、ある意味でAPIはないが... + + 入力タイミングの記述は? + + 時相論理で記述しても良いが... + + □◇ bus_req → ◇ bus_ack + + これはどういう意味ですか? + +--メタな情報が隠れているのが問題を難しくしている + +メタな情報の例 + + スケジューラ + 並列実行意味 + イベントの時間 + 命令の操作的意味 + OSの状態 + 関数呼び出し時の環境(スタック) + +--メタな情報が隠れていない言語を作れば... + +以下のようなものを記述できるようになる + + タスクスケジューラ + システムコール自体の意味 + 時相論理式の意味を表す状態遷移 + アセンブラの命令の動作 + +これらはアセンブラでは当り前に記述できていた + + → アセンブラとCの中間的な言語があれば良い + +--Continuation based C + +<center><img src="fig/code.jpg"></center> + + Input Interface / Output Interface は構造体 + + 関数呼び出しがないので、隠れた環境がない。 + + ループが排除さているので、時間的にも有限。 + + +-- 簡単なCbCのプログラム + __code fact(int n,int result, + code print()){ + if(n>0){ + result *= n; + n--; + goto fact(n,result,print); + } else + goto (*print)(result); + } + +while/do なども使えるが、CbCでは敢えて使わない + +--CbCをBuilding blockとして使う + +基本単位をステートメントよりも、もう少し大きくしたい + + ゲート、命令、ステートメントより大きな単位 + +しかし巨大なサブルーチンは嫌 + + サブルーチンを分割できる + +好きなときに自由に分割したい + +コンパイラのBasic Blockに近い + +--CbCの使い方 + + 実装言語としてCの替わりに使う + アーキテクチャに依存しないアセンブラとして + システムコール、同期機構の意味を表現できる + +--Reflection + +メタデータに直接アクセス出来るので + +<center><img src="fig/meta.jpg"></center> + +というか、メタデータは単に普通のデータ。 +Interface にある余計な引数に過ぎない。 + +コードセグメントの付替もReflection になる。 + +<center><img src="fig/Reflection.jpg"></center> + +--メタデータの例 + + 時刻 (シミュレーションのクロック) + + タスクキュー (通常はOSに隠れている) + + 資源 (malloc 、あるいは、演算器など) + + +--ハードウェア記述 + +状態遷移が有限になればハードウェア記述だと +思って良い + +--Simulator 記述 + + PS2 の Vector Unit + + PS3 Cell のSPU + +これを実際に作成しました。 + +しかし、全部、CbC で書くのはちょっと... + +--C with Continuation + +Cと自由に行き来出来る + + int main() { + goto a1(__return,__envrionment); + } + + __code a1(__code *ret(int), void *env) { + goto ret(0),env; + } + +必要なところだけ、CbCで記述すれば良い。CwCの中から +自由に C のlibraryを呼び出して良い。 + +--実装 + + micro-C base (元はtiny compiler, 今はfull set) + MIPS, PowerPC, ARM, IA32 + + gcc base + アーキテクチャに依存しない実装 (理論的には) + +アイデアは2002年だが... 完成は、今年2月。(OS +研究会で発表予定) + +--gcc 上の実装 + +gcc で tail call elimination をforcing することにより、 +code segment を実装する。 + +引数の重なりを一時変数で解決する必要がある。 + +--gcc のCbC ベンチマーク + +<table> +<tr><td>./conv1 0 <td>./conv1 1 <td>./conv1 2 <td>./conv1 3 +<tr><td>Micro-C <td>5.25 <td>8.97 <td>2.19 <td>2.73 +<tr><td>GCC <td>3.69 <td>4.87 <td>3.08 <td>3.65 +<tr><td>GCC (+omit) <td>2.74 <td>4.20 <td>2.25 <td>2.76 +<tr><td>GCC (+fastcall) <td>2.70 <td>3.44 <td>1.76 <td>2.34 +</table> + +表5.1: Micro-C, GCC の実行速度比較(単位秒) + +CbCに有利なベンチマークなので、Micro C base も結構速い。 + +--CからCbCへの変換 (Cのプログラム) + + /* classical function call case (0) */ + + f0(int i) { + int k,j; + k = 3+i; + j = g0(i+3); + return k+4+j; + } + + g0(int i) { + return h0(i+4)+i; + } + + h0(int i) { + return i+4; + } + +--CからCbCへの変換 (機械的な変換) + + typedef char *stack; + + struct cont_interface { // General Return Continuation + __code (*ret)(); + }; + + __code f(int i,stack sp) { + int k,j; + k = 3+i; + goto f_g0(i,k,sp); + } + + struct f_g0_interface { // Specialized Return Continuation + __code (*ret)(); + int i_,k_,j_; + }; + + __code f_g1(int j,stack sp); + + __code f_g0(int i,int k,stack sp) { // Caller + struct f_g0_interface *c = + (struct f_g0_interface *)(sp -= sizeof(struct f_g0_interface)); + + c->ret = f_g1; + c->k_ = k; + c->i_ = i; + + goto g(i+3,sp); + } + + __code f_g1(int j,stack sp) { // Continuation + struct f_g0_interface *c = sp; + int k = c->k_; + sp+=sizeof(struct f_g0_interface); + c = (struct f_g0_interface *)sp; + goto (c->ret)(k+4+j,sp); + } + + __code g_h1(int j,stack sp); + + __code g(int i,stack sp) { // Caller + struct f_g0_interface *c = + (struct f_g0_interface *)(sp -= sizeof(struct f_g0_interface)); + + c->ret = g_h1; + c->i_ = i; + + goto h(i+3,sp); + } + + __code g_h1(int j,stack sp) { // Continuation + struct f_g0_interface *c = sp; + int i = c->i_; + sp+=sizeof(struct f_g0_interface); + c = (struct f_g0_interface *)sp; + goto (c->ret)(j+i,sp); + } + + __code h(int i,stack sp) { + struct f_g0_interface *c = sp; + goto (c->ret)(i+4,sp); + } + + struct main_continuation { // General Return Continuation + __code (*ret)(); + __code (*main_ret)(); + void *env; + }; + + __code main_return(int i,stack sp) { + if (loop-->0) + goto f(233,sp); + printf("#0103:%d\n",i); + goto (( (struct main_continuation *)sp)->main_ret)(0), + ((struct main_continuation *)sp)->env; + } + +(人間が書くものではないです....) + +--CからCbCへの変換 (手動で最適化すると) + + /* little optimizaed case (3) */ + + __code f2_1(int i,char *sp) { + int k,j; + k = 3+i; + goto g2_1(k,i+3,sp); + } + + __code g2_1(int k,int i,char *sp) { + goto h2_11(k,i+4,sp); + } + + __code f2_0_1(int k,int j,char *sp); + __code h2_1_1(int i,int k,int j,char *sp) { + goto f2_0_1(k,i+j,sp); + } + + __code h2_11(int i,int k,char *sp) { + goto h2_1_1(i,k,i+4,sp); + } + + __code f2_0_1(int k,int j,char *sp) { + goto (( (struct cont_interface *)sp)->ret)(k+4+j,sp); + } + + __code main_return2_1(int i,stack sp) { + if (loop-->0) + goto f2_1(233,sp); + printf("#0165:%d\n",i); + goto (( (struct main_continuation *)sp)->main_ret)(0), + ((struct main_continuation *)sp)->env; + } + +--CbC は、機械向けの言語 + + 普通に書くと記述量が増える。(情報を隠せないため) + + 関数呼び出しに相当する部分を強制的に分割させられる + + 直接使わずに、プログラム変換や高位言語から生成して使う + +しかし、 + +ゲームプログラムや、ハードウェア記述は、昔からそうだった... + + +--並列実行の記述 + +コードセグメント自体は並列実行されない + +並列実行するためには、自分でスケジューラを書く + +code segment がinterleavingされる意味論になる + + → わかりやすい (?) + +並列実行が出来たので、応用を考える + +--Many Core のプログラムへの応用 + +従来の逐次プログラミング + 並列処理では、 +性能が出ない。 + +並列処理をどのように実現して良いかわからない。 + +習得ギャップがある。 + + 配列 < for 文 < pointer < 並列 < 分散 + +--Amdahl's Law + +とにかく、のべつまくなし並列に動かす必要がある。 +Amdahl's Law。(これもハードウェアでは当り前...) + +<center><img src="fig/amdahl.jpg"></center> + +しかし、並列度はそれほど高くなくても良い(Multi Core程度) +6-10程度で良い。32程度で十分。 + +--基本的な戦略 + +データ並列 + データ個数の並列性 + +パイプライン(階層構造) + パイプライン段数の並列性 + +タスクの依存性 + 準備できたものから実行 + +データフローマシンとかリダクションマシンとかの技術 + +--学生にわかりやすく... + +実験で使うので + + 1. 最初はCで書く + + 2. データとコードを分割 + + 3. FIFOスケジューラで実行を確認 + + 4. SPUスケジューラに移行 + + 一発で動く + + ... + + と言うわけにはいかない + +--例題 + +PS3Linux 上のレンダリングエンジン + + フレームバッファに直接描画 + 詳細は、神里晃の発表で... + +Sony がRSX (GDP)のアクセスを許してないので自分で作った + +学生がGraphicsの基本を勉強しやすいように + +Open/GL (OSMesa) も実装したが、時代遅れかつ複雑すぎる + +--code segment の単体テスト + + 入力と出力のセットを作って調べれば良い + 自明 + +--FIFOスケジューラでのテスト + + 決定的に動く。最初のCの動作の一致の検証が容易 + +実際にCell上で実行する場合には非決定的な実行になる + + Taskの終了時間の不定性など + + あらゆる可能な状態で正しく動作する必要がある + +--非決定性がある場合のテスト + +モデル検証=しらみつぶし + +計算量的に問題はあるが.... + +--しらみつぶし + +スケジューラをモデル検証器に入れ換える。 + +モデル検証部分と披テスト部分は、同じレベル (CbC コードセグメント) + +十分なテストが出来るように、対象プログラムに適したモデル検証器を +自分で作る。 + + +--正しく動作するという記述 + +スケジューラに埋め込む + +時相論理式を CbC に変換 + +--まとめ + +CbCというアセンブラとCの間の言語を作りました。 + +実用レベルのコンパイラが動作、公開されています。 + +PS3用のCerium Rendering Engine を記述 + 詳細は次の発表で... + +--これから... + +CbCからハードウェアを直接生成 (co-synthesis) + +CからCbCへの変換器の作成 + +gcc 実装のリリース + + + + + + + + + + + +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/title-e.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,26 @@ +\title{{\bf Self descriptive verfication in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verfication in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verfication in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} + +\title{{\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}} +
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/title-e.tex.aux Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,20 @@ +\relax +\@setckpt{title-e.tex}{ +\setcounter{page}{1} +\setcounter{equation}{0} +\setcounter{enumi}{0} +\setcounter{enumii}{0} +\setcounter{enumiii}{0} +\setcounter{enumiv}{0} +\setcounter{footnote}{0} +\setcounter{mpfootnote}{0} +\setcounter{@paper}{1} +\setcounter{part}{0} +\setcounter{section}{0} +\setcounter{subsection}{0} +\setcounter{subsubsection}{0} +\setcounter{paragraph}{0} +\setcounter{subparagraph}{0} +\setcounter{figure}{0} +\setcounter{table}{0} +}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/title.aux Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,20 @@ +\relax +\@setckpt{title}{ +\setcounter{page}{1} +\setcounter{equation}{0} +\setcounter{enumi}{0} +\setcounter{enumii}{0} +\setcounter{enumiii}{0} +\setcounter{enumiv}{0} +\setcounter{footnote}{0} +\setcounter{mpfootnote}{0} +\setcounter{@paper}{1} +\setcounter{part}{0} +\setcounter{section}{0} +\setcounter{subsection}{0} +\setcounter{subsubsection}{0} +\setcounter{paragraph}{0} +\setcounter{subparagraph}{0} +\setcounter{figure}{0} +\setcounter{table}{0} +}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/title.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,8 @@ +\title{{\bf 検証を自身で表現できるハードウェア、ソフトウェア記述言語 Continuation based C と、そのCell への応用}} + +%\pagenumbering{roman} +\author{ 河野真治 \\[5mm] +e-mail:kono@ie.u-ryukyu.ac.jp\\ +Information Engineering, University of the Ryukyus\\ +Nishihara-cyo 1, Okinawa, 903-01, Japan} +% \date{}
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/trcover.tex Thu Mar 06 19:49:25 2008 +0900 @@ -0,0 +1,26 @@ +\documentstyle[a4,11pt]{article} %%%%% preamble %%%%% +%\textwidth 16.3cm % the text frame size +%\textheight 23cm +%\oddsidemargin 5mm % for centering +%\evensidemargin 13mm % for centering +%\topmargin 1mm +\begin{document} + +\begin{titlepage} +\begin{center}\vspace*{34mm} +\parbox[c]{12cm}{\begin{center} +{\LARGE\bf Self descriptive verification in Continuation based C and it's application to Cell architecture}\\[+5mm] +{\large 河野真治}\\[+5mm] +\end{center}}\\ +\vfill +{\Large Information Engineering, University of the Ryukyus\\ +Nishihara-cho 1, Okinawa, 903-01 JAPAN}\\[+2cm] +{\small Copyright \copyright\ \number\year\ +University of the Ryukyus +}\\[+1cm] +\end{center} +\end{titlepage} + + +\end{document} +
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