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changeset 15:6dedd4ed6b6d

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Update cbc description
author atton <atton@cr.ie.u-ryukyu.ac.jp>
date Thu, 19 Jan 2017 11:39:10 +0900
parents 6bf2e0196a1e
children 3ffd17f96e06
files paper/cbc.tex paper/fig/factorial.graffle paper/fig/factorial.pdf paper/src/factrial.cbc
diffstat 4 files changed, 751 insertions(+), 1 deletions(-) [+]
line wrap: on
line diff
--- a/paper/cbc.tex	Thu Jan 19 11:29:13 2017 +0900
+++ b/paper/cbc.tex	Thu Jan 19 11:39:10 2017 +0900
@@ -26,6 +26,8 @@
 
 % }}}
 
+% {{{ Continuation based C における CodeSegment と DataSegment
+
 \section{Continuation based C における CodeSegment と DataSegment}
 最も基本的な CbC のソースコードをリスト\ref{src:goto}に、ソースコードが実行される流れを図\ref{fig:goto}に示す。
 Continuation based C における CodeSegment は返り値を持たない関数として表現される。
@@ -51,9 +53,22 @@
 CbC の軽量継続は呼び出し元の情報を持たないため、スタックを破棄しながら処理を続けていく。
 よって、リスト\ref{src:goto} のプログラムでは cs0  から cs1 へと継続した後にcs0 へ戻ることはできない。
 
-% TODO: factorial
+もう少し複雑な CbC のソースコードをリスト\ref{src:factrial}に、実行される流れを図\ref{fig:factrial}に示す。
+このソースコードは整数の階乗を求めるプログラムである。
+CodeSegment factorial0 では自分自身への再帰的な継続を用いて階乗を計算している。
+軽量継続時には関数呼び出しのスタックは存在しないが、計算中の値を DataSegment で持つことで再帰を含むループ処理も行なうことができる。
+
+\lstinputlisting[label=src:factrial, caption=階乗を求める CbC プログラム] {src/factrial.cbc}
 
+\begin{figure}[htbp]
+    \begin{center}
+        \includegraphics[scale=0.8]{fig/factorial.pdf}
+        \caption{階乗を求める CbC プログラム}
+        \label{fig:factrial}
+    \end{center}
+\end{figure}
 
+% }}}
 
 \section{MetaCodeSegment と MetaDataSegment}
 \section{GearsOS}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/paper/fig/factorial.graffle	Thu Jan 19 11:39:10 2017 +0900
@@ -0,0 +1,706 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
+<plist version="1.0">
+<dict>
+	<key>ActiveLayerIndex</key>
+	<integer>0</integer>
+	<key>ApplicationVersion</key>
+	<array>
+		<string>com.omnigroup.OmniGraffle6</string>
+		<string>169.5.0.253125</string>
+	</array>
+	<key>AutoAdjust</key>
+	<true/>
+	<key>BackgroundGraphic</key>
+	<dict>
+		<key>Bounds</key>
+		<string>{{0, 0}, {559.20001220703125, 782.79998779296875}}</string>
+		<key>Class</key>
+		<string>SolidGraphic</string>
+		<key>ID</key>
+		<integer>2</integer>
+		<key>Style</key>
+		<dict>
+			<key>stroke</key>
+			<dict>
+				<key>Draws</key>
+				<string>NO</string>
+			</dict>
+		</dict>
+	</dict>
+	<key>BaseZoom</key>
+	<integer>0</integer>
+	<key>CanvasOrigin</key>
+	<string>{0, 0}</string>
+	<key>ColumnAlign</key>
+	<integer>1</integer>
+	<key>ColumnSpacing</key>
+	<real>36</real>
+	<key>CreationDate</key>
+	<string>2011-11-12 11:03:25 +0000</string>
+	<key>Creator</key>
+	<string>Nobuyasu Oshiro</string>
+	<key>DisplayScale</key>
+	<string>1 in = 1.00000 in</string>
+	<key>GraphDocumentVersion</key>
+	<integer>12</integer>
+	<key>GraphicsList</key>
+	<array>
+		<dict>
+			<key>Bounds</key>
+			<string>{{337.67999245226383, 177.89999766647816}, {103, 24}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Size</key>
+				<real>11</real>
+			</dict>
+			<key>ID</key>
+			<integer>44</integer>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs22 \cf0 goto print_factorial}</string>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Font</key>
+				<string>Helvetica</string>
+				<key>Size</key>
+				<real>12</real>
+			</dict>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>42</integer>
+			</dict>
+			<key>ID</key>
+			<integer>43</integer>
+			<key>Points</key>
+			<array>
+				<string>{325.49999356269836, 144}</string>
+				<string>{325.49999356269836, 235.79999533295631}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<false/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>33</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{287.99999356269836, 208.79999533295631}, {75, 54}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>42</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\partightenfactor0
+
+\f0\fs24 \cf0 print_\
+factorial}</string>
+				<key>VerticalPad</key>
+				<real>0.0</real>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{86.459999710321426, 93}, {75, 24}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Size</key>
+				<real>11</real>
+			</dict>
+			<key>ID</key>
+			<integer>41</integer>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs22 \cf0 goto factorial}</string>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Font</key>
+				<string>Helvetica</string>
+				<key>Size</key>
+				<real>12</real>
+			</dict>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>3</integer>
+			</dict>
+			<key>ID</key>
+			<integer>40</integer>
+			<key>Points</key>
+			<array>
+				<string>{48.959999710321426, 144}</string>
+				<string>{183, 144}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<false/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>38</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{12.959999710321426, 117}, {72, 54}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>38</integer>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Cap</key>
+					<integer>2</integer>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\partightenfactor0
+
+\f0\fs24 \cf0 main}</string>
+				<key>VerticalPad</key>
+				<real>0.0</real>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{284.99999356269836, 45.359998986124992}, {81, 24}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Size</key>
+				<real>11</real>
+			</dict>
+			<key>ID</key>
+			<integer>37</integer>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs22 \cf0 goto factorial0}</string>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{208.49999356269836, 106.55999761819839}, {81, 24}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>FitText</key>
+			<string>YES</string>
+			<key>Flow</key>
+			<string>Resize</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Size</key>
+				<real>11</real>
+			</dict>
+			<key>ID</key>
+			<integer>36</integer>
+			<key>Style</key>
+			<dict>
+				<key>fill</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs22 \cf0 goto factorial0}</string>
+			</dict>
+			<key>Wrap</key>
+			<string>NO</string>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Font</key>
+				<string>Helvetica</string>
+				<key>Size</key>
+				<real>12</real>
+			</dict>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>33</integer>
+			</dict>
+			<key>ID</key>
+			<integer>35</integer>
+			<key>Points</key>
+			<array>
+				<string>{325.49999356269836, 144}</string>
+				<string>{294.49999356269836, 93.08203125}</string>
+				<string>{351.578125, 84.4765625}</string>
+				<string>{325.49999356269836, 144}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<false/>
+					<key>LineType</key>
+					<integer>1</integer>
+					<key>TailArrow</key>
+					<string>0</string>
+				</dict>
+			</dict>
+			<key>Tail</key>
+			<dict>
+				<key>ID</key>
+				<integer>33</integer>
+			</dict>
+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>LineGraphic</string>
+			<key>FontInfo</key>
+			<dict>
+				<key>Font</key>
+				<string>Helvetica</string>
+				<key>Size</key>
+				<real>12</real>
+			</dict>
+			<key>Head</key>
+			<dict>
+				<key>ID</key>
+				<integer>33</integer>
+			</dict>
+			<key>ID</key>
+			<integer>34</integer>
+			<key>Points</key>
+			<array>
+				<string>{183, 144}</string>
+				<string>{325.49999356269836, 144}</string>
+			</array>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+				<key>stroke</key>
+				<dict>
+					<key>HeadArrow</key>
+					<string>FilledArrow</string>
+					<key>Legacy</key>
+					<false/>
+					<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>{{287.99999356269836, 117}, {75, 54}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>33</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\partightenfactor0
+
+\f0\fs24 \cf0 factorial 0}</string>
+				<key>VerticalPad</key>
+				<real>0.0</real>
+			</dict>
+		</dict>
+		<dict>
+			<key>Bounds</key>
+			<string>{{147, 117}, {72, 54}}</string>
+			<key>Class</key>
+			<string>ShapedGraphic</string>
+			<key>ID</key>
+			<integer>3</integer>
+			<key>Shape</key>
+			<string>Circle</string>
+			<key>Style</key>
+			<dict>
+				<key>shadow</key>
+				<dict>
+					<key>Draws</key>
+					<string>NO</string>
+				</dict>
+			</dict>
+			<key>Text</key>
+			<dict>
+				<key>Text</key>
+				<string>{\rtf1\ansi\ansicpg1252\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fswiss\fcharset0 Helvetica;}
+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\qc\partightenfactor0
+
+\f0\fs24 \cf0 factorial}</string>
+				<key>VerticalPad</key>
+				<real>0.0</real>
+			</dict>
+		</dict>
+	</array>
+	<key>GridInfo</key>
+	<dict/>
+	<key>GuidesLocked</key>
+	<string>NO</string>
+	<key>GuidesVisible</key>
+	<string>YES</string>
+	<key>HPages</key>
+	<integer>1</integer>
+	<key>ImageCounter</key>
+	<integer>1</integer>
+	<key>KeepToScale</key>
+	<false/>
+	<key>Layers</key>
+	<array>
+		<dict>
+			<key>Lock</key>
+			<string>NO</string>
+			<key>Name</key>
+			<string>Layer 1</string>
+			<key>Print</key>
+			<string>YES</string>
+			<key>View</key>
+			<string>YES</string>
+		</dict>
+	</array>
+	<key>LayoutInfo</key>
+	<dict>
+		<key>Animate</key>
+		<string>NO</string>
+		<key>circoMinDist</key>
+		<real>18</real>
+		<key>circoSeparation</key>
+		<real>0.0</real>
+		<key>layoutEngine</key>
+		<string>dot</string>
+		<key>neatoLineLength</key>
+		<real>0.20000000298023224</real>
+		<key>neatoSeparation</key>
+		<real>0.0</real>
+		<key>twopiSeparation</key>
+		<real>0.0</real>
+	</dict>
+	<key>LinksVisible</key>
+	<string>NO</string>
+	<key>MagnetsVisible</key>
+	<string>NO</string>
+	<key>MasterSheets</key>
+	<array/>
+	<key>ModificationDate</key>
+	<string>2016-02-14 19:48:42 +0000</string>
+	<key>Modifier</key>
+	<string>utah</string>
+	<key>NotesVisible</key>
+	<string>NO</string>
+	<key>Orientation</key>
+	<integer>2</integer>
+	<key>OriginVisible</key>
+	<string>NO</string>
+	<key>PageBreaks</key>
+	<string>YES</string>
+	<key>PrintInfo</key>
+	<dict>
+		<key>NSBottomMargin</key>
+		<array>
+			<string>float</string>
+			<string>41</string>
+		</array>
+		<key>NSHorizonalPagination</key>
+		<array>
+			<string>coded</string>
+			<string>BAtzdHJlYW10eXBlZIHoA4QBQISEhAhOU051bWJlcgCEhAdOU1ZhbHVlAISECE5TT2JqZWN0AIWEASqEhAFxlwCG</string>
+		</array>
+		<key>NSLeftMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+		<key>NSPaperSize</key>
+		<array>
+			<string>size</string>
+			<string>{595.20001220703125, 841.79998779296875}</string>
+		</array>
+		<key>NSPrintReverseOrientation</key>
+		<array>
+			<string>coded</string>
+			<string>BAtzdHJlYW10eXBlZIHoA4QBQISEhAhOU051bWJlcgCEhAdOU1ZhbHVlAISECE5TT2JqZWN0AIWEASqEhAFxlwCG</string>
+		</array>
+		<key>NSRightMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+		<key>NSTopMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+	</dict>
+	<key>PrintOnePage</key>
+	<false/>
+	<key>ReadOnly</key>
+	<string>NO</string>
+	<key>RowAlign</key>
+	<integer>1</integer>
+	<key>RowSpacing</key>
+	<real>36</real>
+	<key>SheetTitle</key>
+	<string>Canvas 1</string>
+	<key>SmartAlignmentGuidesActive</key>
+	<string>YES</string>
+	<key>SmartDistanceGuidesActive</key>
+	<string>YES</string>
+	<key>UniqueID</key>
+	<integer>1</integer>
+	<key>UseEntirePage</key>
+	<false/>
+	<key>VPages</key>
+	<integer>1</integer>
+	<key>WindowInfo</key>
+	<dict>
+		<key>CurrentSheet</key>
+		<integer>0</integer>
+		<key>Expanded_Canvases</key>
+		<array/>
+		<key>Frame</key>
+		<string>{{87, 100}, {989, 938}}</string>
+		<key>ShowInfo</key>
+		<true/>
+		<key>ShowRuler</key>
+		<true/>
+		<key>Sidebar</key>
+		<true/>
+		<key>SidebarWidth</key>
+		<integer>200</integer>
+		<key>TopSlabHeight</key>
+		<real>250</real>
+		<key>VisibleRegion</key>
+		<string>{{0, 0}, {475, 780}}</string>
+		<key>Zoom</key>
+		<real>1</real>
+		<key>ZoomValues</key>
+		<array>
+			<array>
+				<string>Canvas 1</string>
+				<real>1</real>
+				<real>1</real>
+			</array>
+		</array>
+	</dict>
+</dict>
+</plist>
Binary file paper/fig/factorial.pdf has changed
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/paper/src/factrial.cbc	Thu Jan 19 11:39:10 2017 +0900
@@ -0,0 +1,29 @@
+__code print_factorial(int prod)
+{
+  printf("factorial = %d\n", prod);
+  exit(0);
+}
+
+__code factorial0(int prod, int x)
+{
+  if (x >= 1) {
+    goto factorial0(prod*x, x-1);
+  } else {
+    goto print_factorial(prod);
+  }
+
+}
+
+__code factorial(int x)
+{
+  goto factorial0(1, x);
+}
+
+int main(int argc, char **argv)
+{
+  int i;
+  i = atoi(argv[1]);
+
+  goto factorial(i);
+}
+