changeset 5:b8d790bccfe7 draft

fix
author Yutaka_Kinjyo <yutaka@cr.ie.u-ryukyu.ac.jp>
date Thu, 09 Feb 2012 04:31:13 +0900
parents 6cf0f731cbde
children a3763267dc8d
files paper/chapter2.tex paper/chapter4.tex paper/images/taskarray.graffle paper/master_paper.pdf
diffstat 4 files changed, 779 insertions(+), 817 deletions(-) [+]
line wrap: on
line diff
--- a/paper/chapter2.tex	Wed Feb 08 21:49:40 2012 +0900
+++ b/paper/chapter2.tex	Thu Feb 09 04:31:13 2012 +0900
@@ -459,27 +459,6 @@
 を参照する場合、新たに DMA 転送を行わずに保存してある Tile を使用する。新たに Tile を参照し且つ領域に
 空きが無い場合、 FIFO で Tile の入れ替えを行う。Tile の検索は、テクスチャのアドレスを key とし、
 Tile を value としてハッシュを用いる。 
-\begin{comment}
-SPE 上で保存する Tile の数を変化させることによって、Rendering の実行速度がどのように変化するか
-実験した(\figref{cerium_hash_test})。
-
-\begin{table}[htb]
-  \begin{center}
-    \caption{SPE 上での Tile 管理数による実行速度比較} \label{tab:cerium_hash_test}
-    \hbox to\hsize{\hfil
-      \begin{tabular}{c|l} \hline \hline
-        Tile 保存数 & 実行速度 (FPS) & \\ \hline
-        \hline
-        1 &  &\\ \hline
-        128 &  &\\ \hline
-      \end{tabular}\hfil}
-  \end{center}
-\end{table}
-
-\figref{cerium_hash_test} より、SPE 上で保存する Tile の数を増やすことによりテクスチャ
-のヒット率が上昇し、DMA 転送回数が減ることで実行速度が向上するがわかる。
-
-\end{comment}
 
 \subsection{Texture の縮小} \label{sec:cerium_scale}
 
@@ -514,19 +493,37 @@
 転送コストの削減に繋がる。
 
 この Texture hash の効果を示す。(\tabref{ball_bound})例題として、ball bound を使用した。
+解像度は 1980x1080 である。FPSは一秒あたりの RednderingEngine 全体の処理回数(Frame per Scecond)である。
 
 \begin{table}[!htb]
   \begin{center}
-    \caption{キャッシュの効果(ball bound)} \label{tab:ball_bound}
+    \caption{Effect of cache(ball bound)} \label{tab:ball_bound}
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|c|} \hline
         キャッシュ & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
-        なし & 24.6FPS & 5.5\% & 72.4\% & 22.1\% \\ \hline
-        あり & 27.2FPS & 1.8\% & 76.2\% & 22.0\% \\ \hline
+        なし & 24.6 & 5.5\% & 72.4\% & 22.1\% \\ \hline
+        あり & 27.2 & 1.8\% & 76.2\% & 22.0\% \\ \hline
       \end{tabular}\hfil}
   \end{center}
 \end{table}
 
+DMA転送待ち時間が減り、FPSの向上が見られた。
+
+続いて 解像度1980x1080の画面いっぱいに一枚の画像を描画する例題である panel で効果を測定した。 panel でのキャッシュの効果を示す(\tabref{cache_panel})
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Effect of cache(panel)} \label{tab:cache_panel}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|c|} \hline
+        キャッシュ & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+        なし & 3.9 & 21.1\% & 13.2\% & 65.9\% \\ \hline
+        あり & 2.9 & 0.5\% & 9.9\% & 89.5\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
+
+panel では使用する画像のサイズが大きいために、キャッシュの HIT するまでの時間がかかる。キャッシュの HIT 確認は SPE の稼働率に含まれるため、稼働率が向上している。キャッシュ HIT 時間が、DMA転送待ち時間の削減の効果よりも高いため、FPSが減少した結果になった。このようなケースでは、キャッシュを用いない方が、高いFPSが得られる。ball bound の場合は、小さな画像を用いてるため、キャッシュの効果が見られた。
 
 \subsection{DrawSpanTask} \label{drawspan}
 
@@ -558,7 +555,7 @@
 \item バリア同期が完了し、PPE 側で次の Task が作られる時間
 \end{itemize}
 
-この二つの時間の間SPEの処理が止まり、処理性能の低下につながる。この待ち時間を回避するためには、Taskの粒度を下げる、他の SPE の処理完了を待っている SPE に、別の Task を割り当てる、等の方法がある。別の Task を割り当てるには Task の実行をパイプライン化する方法がある。そこで、特に3つの Task の中でも処理の重い DrawSpanTask と、CreatePolygonTask, CreateSpanTask の Task でパイプライン化を行っている。(\figref{rend-dep}) 速度比較の対象として、ball bound を用いる。FPSは一秒あたりの RednderingEngine 全体の処理回数(Frame per Scecond)であり、busy ration はSPEの稼働率である。(\tabref{pipeline_ballbound})
+この二つの時間の間SPEの処理が止まり、処理性能の低下につながる。この待ち時間を回避するためには、Taskの粒度を下げる、他の SPE の処理完了を待っている SPE に、別の Task を割り当てる、等の方法がある。別の Task を割り当てるには Task の実行をパイプライン化する方法がある。そこで、特に3つの Task の中でも処理の重い DrawSpanTask と、CreatePolygonTask, CreateSpanTask の Task でパイプライン化を行っている。(\figref{rend-dep}) 速度比較の対象として、レンダリング例題の ball bound と panel を用いる。(\tabref{pipeline_ballbound})(\tabref{pipeline_panel})
 
 \begin{figure}[htb]
   \begin{center}
@@ -570,12 +567,24 @@
 
 \begin{table}[!htb]
   \begin{center}
-    \caption{パイプライン化の効果(ball bound)} \label{tab:pipeline_ballbound}
+    \caption{Effect of use pipeline(ball bound)} \label{tab:pipeline_ballbound}
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|c|} \hline
         PipeLine & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
-        なし & 27.2FPS & 1.8\% & 76.2\% & 22.0\% \\ \hline
-        あり & 30.2FPS & 1.8\% & 74.3\% & 23.7\% \\ \hline
+        なし & 27.2 & 1.8\% & 76.2\% & 22.0\% \\ \hline
+        あり & 30.2 & 1.8\% & 74.3\% & 23.7\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Effect of use pipeline(panel)} \label{tab:pipeline_panel}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|c|} \hline
+        PipeLine & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+        なし & 3.9 & 21.1\% & 13.2\% & 65.9\% \\ \hline
+        あり & 4.0 & 21.3\% & 11.1.\% & 67.6\% \\ \hline
       \end{tabular}\hfil}
   \end{center}
 \end{table}
@@ -585,3 +594,5 @@
 その為には処理をTaskに分割し、並列実行するだけでなく、バリア同期などで、
 SPEの待ち時間が発生することへ対処しないといけない。
 その対処の一つとしてそれにパイプライン化は有効である。
+
+
--- a/paper/chapter4.tex	Wed Feb 08 21:49:40 2012 +0900
+++ b/paper/chapter4.tex	Thu Feb 09 04:31:13 2012 +0900
@@ -1,21 +1,32 @@
 \chapter{Ceriumの改良}
 本章では、Cerium に行った改良について説明する。
-Cerium のレンダリングの例題として ball\_bound を使用し、それを元に改良の効果を示していく。まず、改良前の 計測結果を示す。
+Cerium のレンダリングの例題として ball\_bound と panel を使用し、それを元に改良の効果を示していく。まず、改良前の 計測結果を示す。(\tabref{ball_bound_flat}) (\tabref{panel_flat})
 
 \begin{table}[!htb]
   \begin{center}
-    \caption{Cerium 改良前 (ball bound)} \label{tab:rendering_flat}
+    \caption{Cerium 改良前 (ball bound)} \label{tab:ball_bound_flat}
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|} \hline
          FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
-         30.2FPS & 1.8\% & 74.3\% & 23.7\% \\ \hline
+         30.2 & 1.8\% & 74.3\% & 23.7\% \\ \hline
       \end{tabular}\hfil}
   \end{center}
 \end{table}
 
-Mail の待ち時間が 約70\%あり、処理時間の大部分を占めている。この Mail の待ち時間を削減するために Task をグルーピングする TaskArray, ソフトウェアMailQueue の実装を行った。また RenderinEngine の Task 内には、明示的な DMAロードが記述されており、アーキテクチャ依存となっている。そこでアーキテクチャ依存の記述を避けるために、MemorySegment を実装した。
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Cerium 改良前 (panel)} \label{tab:panel_flat}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|} \hline
+         FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+         4.0 & 21.3\% & 11.1.\% & 67.6\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
 
 
+特に ball bound では Mail の待ち時間が 約70\%あり、処理時間の大部分を占めている。この Mail の待ち時間を削減するために Task をグルーピングする TaskArray, ソフトウェアMailQueue の実装を行った。また RenderinEngine の Task 内には、明示的な DMAロードが記述されており、アーキテクチャ依存となっている。そこでアーキテクチャ依存の記述を避けるために、MemorySegment を実装した。
+
 \section{TaskArray}
 本研究では新しい Task として Task Array を実装した。 Cerium では Task と TaskList 毎に Mail を通知し、SPE の Mail の待ち時間が発生する問題があった。PPE 側で実行される Task もあるなかで、SPE側の Task を一つ一つ Task 毎に依存関係を処理しており、SPE への TaskList 要求や、次の Mail 書き込み待ちなど、Mail 通知の対応が遅れることが考えられる。Mail 通知の対応が遅れた分 SPE はアイドル状態となってしまい、稼働率が下がってしまう。この問題を解決するために、我々は Task Array を提案、実装した。 Task Array を使用することで、複数の Task をまとめる Task のグルーピングが行える。複数の Task を ひとつの Task Array として登録すると、依存関係の処理が Task Array ひとつ分で収まる。依存関係の処理には Mail 通知を行なっていたので 依存関係の処理が減少する分、 Mail 通知の回数も少なくなる。これによって、Mail 待ちによる SPE のアイドル状態の時間を減少させることができると考える。例えば TaskArray のサイズが4、TaskList のサイズが4、処理するべき Task の数が16の場合だとする。この時に TaskArray を使用すると、4つ必要だった TaskList が1つで済み、さらに16Task分の依存関係の解決が4つのTaskArray分で済む。(\figref{taskarray}) これによって Task 毎の Mail通知と TaskList 毎のMail通知の回数が合わせて 四分の一となる。このようにTaskArrayを用い Mail 自体の回数を減らし、待ち時間を削減できると考える。
 
@@ -73,65 +84,102 @@
 \item[spawn\_task\_array: ] Task Array の中のすべての Task が書きこまれたかどうかをチェックする。TaskArray では指定された Task の数と、実際に登録された Task の数が同一か計算し、異なってた場合にはエラー文を返す。これは DMA ロードの際のサイズを合わせる為、正確に数を合わせなければならない。
 \end{description}
 
-この TaskArray をRenderingEngine の DrawSpanTask に適応させた。レンダリングの例題は ball bound を用いた。その効果を示す。wor(\tabref{taskarray_ballbound})。
+この TaskArray を RenderingEngine の DrawSpanTask に適応させた。レンダリングの例題は ball bound と panel を用いた。TaskArray の大きさは 8 である。その効果を示す。(\tabref{taskarray_ballbound}) (\tabref{taskarray_panel})
 
 \begin{table}[!htb]
   \begin{center}
-    \caption{Task Arrayの効果(ball bound)} \label{tab:taskarray_ballbound}
+    \caption{Effect of Task Array(ball bound)} \label{tab:taskarray_ballbound}
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|c|} \hline
         TaskArray & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
-        未使用 & 30FPS & 1.8\% & 76.2\% & 22.0\% \\ \hline
-        使用 & 32.2FPS & 2.5\% & 66.7\% & 30.8\% \\ \hline
+        未使用 & 30.0 & 1.8\% & 76.2\% & 22.0\% \\ \hline
+        使用 & 32.2 & 2.5\% & 66.7\% & 30.8\% \\ \hline
       \end{tabular}\hfil}
   \end{center}
 \end{table}
 
 mail の待ち時間が 約10\% 削減され、FPSの向上があり、TaskArray による効果が見られた。
 
-\section{MailQueue}
-Task の完了通知や、アイドル状態の SPE に Task のリストの情報を通知するために Mail を使用している。Cell の設計では、その通知に使われる SPE からの書き出しMailのQueueのサイズは1である。ハードウェアの設計として、Mailを書き出す場合、前回のMailがPPE側から読み込まれていない場合に、PPE側の読み出しでMailboxが空き状態になるまで、SPEはアイドル状態となる。するとPPE側のMail読み出し処理が追いつかない場合には、SPE側に余計な待ち時間が入ってしまう。そこで、ソフトウェアMailQueue を実装した。ハードウェアのMailboxへの書き込みができない場合には、ソフトウェアMailQueueへ書き出し、Mail の書き出し待ちをなくす。代わりに割り当てられたTaskListをすべて処理したあとに、MailQueueに残っているMailをすべて書き出す処理を行う。
-
-MailQueueの大きさはメモリ容量の限り自動で拡張される。以下にball bound の例題での MailQueue の有無における測定結果を示す(\tabref{mailqueue})。
-
 \begin{table}[!htb]
   \begin{center}
-    \caption{MailQueue の効果(ball bound)} \label{tab:mailqueue}
+    \caption{Effect of Task Array(panel)} \label{tab:taskarray_panel}
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|c|} \hline
-        MailQueue & FPS & DMA転送待ち時間 &  mailの待ち時間 & SPE稼働率\\ \hline
-        なし & 32.2FPS & 2.5\% & 66.7\% & 30.8\% \\ \hline
-        あり & 41.7FPS & 3.3\% & 56.8\% & 40.0\% \\ \hline
+        TaskArray & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+        未使用 & 4.0 & 21.3\% & 11.1\% & 67.6\% \\ \hline
+        使用 & 4.2 & 22.5\% & 5.7\% & 71.8\% \\ \hline
       \end{tabular}\hfil}
   \end{center}
 \end{table}
 
-Mail の待ち時間の割合が減少し、8FPSの向上がみられた。ソフトウェア MailQueue によって Mail の書き出しタイミングを変更することで、Mail の待ち時間を削減することができた。PPE 側では、SPEからの Mail の確認は一度の ループ文で行なっている。Mail を確認しおえ、そのループ文を抜けてしまうと、次に Mail を確認するまでに PPE 側の Task 処理が挟まれる。よって、SPE 側の Mail 通知は一度に多く行った方が、PPE側の Mail 確認がスムーズに行われ、結果 SPE の稼働率向上に繋がると言える。ソフトウェアMailQueue では Mail をキューイングし一度に書き出すので、この点でも効果がある。
+\section{MailQueue}
+Task の完了通知や、アイドル状態の SPE に Task のリストの情報を通知するために Mail を使用している。Cell の設計では、その通知に使われる SPE からの書き出しMailのQueueのサイズは1である。ハードウェアの設計として、Mailを書き出す場合、前回のMailがPPE側から読み込まれていない場合に、PPE側の読み出しでMailboxが空き状態になるまで、SPEはアイドル状態となる。するとPPE側のMail読み出し処理が追いつかない場合には、SPE側に余計な待ち時間が入ってしまう。そこで、ソフトウェアMailQueue を実装した。ハードウェアのMailboxへの書き込みができない場合には、ソフトウェアMailQueueへ書き出し、Mail の書き出し待ちをなくす。(\figref{mailqueue_flow})
+
+\begin{figure}[htb]
+  \begin{center}
+    \includegraphics[scale=0.6]{./images/mailqueue1.pdf}
+  \end{center}
+  \caption{mailqueue flow}
+  \label{fig:mailqueue_flow}
+\end{figure}
+
+MailQueueの大きさはメモリ容量の限り自動で拡張される。以下に ball bound と panelの例題での MailQueue の有無における測定結果を示す(\tabref{mailqueue})。
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Effect of MailQueue(ball bound)} \label{tab:mailqueue}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|c|} \hline
+        MailQueue & FPS & DMA転送待ち時間 &  mailの待ち時間 & SPE稼働率\\ \hline
+        なし & 32.2 & 2.5\% & 66.7\% & 30.8\% \\ \hline
+        あり & 41.7 & 3.3\% & 56.8\% & 40.0\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
+
+Mail の待ち時間の割合が減少し、ball bound では8FPSの向上がみられた。ソフトウェア MailQueue によって Mail の書き出しタイミングを変更することで、Mail の待ち時間を削減することができた。PPE 側では、SPEからの Mail の確認は一度の ループ文で行なっている。Mail を確認しおえ、そのループ文を抜けてしまうと、次に Mail を確認するまでに PPE 側の Task 処理が挟まれる。よって、SPE 側の Mail 通知は一度に多く行った方が、PPE側の Mail 確認がスムーズに行われ、結果 SPE の稼働率向上に繋がると言える。ソフトウェアMailQueue では Mail をキューイングし一度に書き出すので、この点でも効果がある。
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Effect of use MailQueue(panel)} \label{tab:mail_panel}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|c|} \hline
+        MailQueue & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+        なし & 4.2 & 22.5\% & 5.7\% & 71.8\% \\ \hline
+        あり & 4.2 & 23.7\% & 4.1.\% & 72.3\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
+
+panel では描画の処理に時間がかかるので、稼働率は70\%を超えている。mail 待ちは5.7\%と全体の比率からは低い値となっているため、MailQueueの効果はあまり見られない。
 
 \section{MemorySegment}
 CreateSpanTask 内では明示的に DMA転送命令を行なっている。これは処理するデータ構造上の理由である。しかし、DMA転送は Cell のアーキテクチャに依存した機能である。また Task に登録された input data と output data は自動的に TaskManager によってパイプライン化されるが、明示的にDMA転送を行う場合には、手動でのパイプライン処理を行う必要がある。そこで、Task 内でのデータの入出力の機能を 抽象化する MemorySegment を実装した。MemorySegment によって DAM転送は隠蔽され、アーキテクチャ依存の記述を避けることができる。またメモリ操作も抽象化される。
 
-
 CreateSpanTask 内の明示的なDMA転送の例を示す。
 
 \begin{verbatim}
 create_span() {
 
-   tmp_spack = spack;
-   spack = send_spack;
-   send_spack = tmp_spack;
+   loop() {
 
-   smanager->dma_wait(SPAN_PACK_STORE);
-   smanager->dma_store(send_spack, (memaddr)spackList[prev_index],
-                       sizeof(SpanPack), SPAN_PACK_STORE);
+     tmp_spack = spack;
+     spack = send_spack;
+     send_spack = tmp_spack;
+
+     smanager->dma_wait(SPAN_PACK_STORE);
+     smanager->dma_store(send_spack, (memaddr)spackList[prev_index],
+                         sizeof(SpanPack), SPAN_PACK_STORE);
 
-   smanager->dma_load(spack, (memaddr)spackList[index],
-                       sizeof(SpanPack), SPAN_PACK_LOAD);
+     smanager->dma_load(spack, (memaddr)spackList[index],
+                         sizeof(SpanPack), SPAN_PACK_LOAD);
 
-   prev_index = index;
-   smanager->dma_wait(SPAN_PACK_LOAD);
+     prev_index = index;
+     smanager->dma_wait(SPAN_PACK_LOAD);
 
-   span_calc(spack);
+     span_calc(spack);
+
+  }
 
 }
 
@@ -149,18 +197,22 @@
 \begin{verbatim}
 create_span() {
 
-   smanager->wait_segment(span_put_ms);
+   loop() {
 
-   span_put_ms = span_get_ms;
-   smanager->put_segment(span_put_ms);
+     smanager->wait_segment(span_put_ms);
+
+     span_put_ms = span_get_ms;
+     smanager->put_segment(span_put_ms);
 
-   span_get_ms = smanager->get_segment((memaddr)spackList[index], span_ml);
-   smanager->wait_segment(span_get_ms);
+     span_get_ms = smanager->get_segment((memaddr)spackList[index], span_ml);
+     smanager->wait_segment(span_get_ms);
 
-   prev_index = index;
-   spack = (SpanPackPtr)span_get_ms->data;
+     prev_index = index;
+     spack = (SpanPackPtr)span_get_ms->data;
 
-   span_calc(spack);
+     span_calc(spack);
+
+   }
 
 }
 \end{verbatim}
@@ -200,18 +252,20 @@
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|c|} \hline
         & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
-        改良前 & 30.2FPS & 1.8\% & 74.3\% & 23.7\% \\ \hline
-        改良後 & 41.7FPS & 3.3\% & 56.8\% & 40.0\% \\ \hline
+        改良前 & 30.2 & 1.8\% & 74.3\% & 23.7\% \\ \hline
+        改良後 & 41.7 & 3.3\% & 56.8\% & 40.0\% \\ \hline
       \end{tabular}\hfil}
   \end{center}
 \end{table}
+
+
 Mail の待ち時間、DMA転送の待ち時間がともに削減され、稼働率とFPSの向上が見られた。
 
 本研究で行った改良の加え、Cerium 開発後からの改良である、Task のパイプライン化、Texture cache の使用の効果をまとめる(\tabref{imp_result})
 
 \begin{table}[!htb]
   \begin{center}
-    \caption{Ceriumの改良の効果(ball bound)} \label{tab:imp_result}
+    \caption{Ceriumの改良の効果(panel)} \label{tab:imp_result}
     \hbox to\hsize{\hfil
       \begin{tabular}{|c|c|c|c|c|} \hline
         & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
@@ -221,7 +275,33 @@
   \end{center}
 \end{table}
 
-Cerium 開発後からの改良の結果、FPS が17上昇し、稼働率が18\%向上した。
+ball bound では Cerium 開発後からの改良の結果、FPS が17上昇し、稼働率が18\%向上した。
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Ceriumの改良の効果(ball bound)} \label{tab:imp_result}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|c|} \hline
+        & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+        改良前 & 4.0 & 21.3\% & 11.1.\% & 67.6\% \\ \hline
+        改良後 & 4.2 & 22.5\% & 5.7\% & 71.8\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
+
+panel では Cerium 開発後からの改良の結果、FPS が0.2上昇し、稼働率が約4\%向上した。
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{Cerium の歴史} \label{tab:imp_result}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|c|} \hline
+        & FPS & DMA転送待ち時間 & mail待ちの割合 & SPE稼働率\\ \hline
+        改良前 & 4.0 & 21.3\% & 11.1.\% & 67.6\% \\ \hline
+        改良後 & 4.2 & 22.5\% & 5.7\% & 71.8\% \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
 
 \subsubsection{OpenGLとの比較}
 
--- a/paper/images/taskarray.graffle	Wed Feb 08 21:49:40 2012 +0900
+++ b/paper/images/taskarray.graffle	Thu Feb 09 04:31:13 2012 +0900
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Binary file paper/master_paper.pdf has changed