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version 1.57, 1999/12/23 14:02:56 version 1.93, 1999/12/25 17:56:56
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 \documentclass{jarticle}  \documentclass{jarticle}
   
 %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.56 1999/12/23 12:57:20 tam Exp $  %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.92 1999/12/25 17:05:28 tam Exp $
   
 \usepackage{jssac}  \usepackage{jssac}
 \title{¥¿¥¤¤Î¥È¥ë}  
 \title{  
 °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£  
 TCP/IP ¥½¥±¥Ã¥È¤È¤«¡¢TCP/IP ¼ÂÁõ¤È¤«²¿¤Î¤³¤Ã¤Á¤ã¤È»×¤¤¤Þ¤·¤¿¡£  
 }  
   
 \author{Á° Àî ¾­ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô}  \title{OpenXM ¤Î¸½¾õ¤Ë¤Ä¤¤¤Æ}
                 \mail{maekawa@math.sci.kobe-u.ac.jp}  \author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}
   \and  Ìî Ϥ Àµ ¹Ô\affil{ÉÙ»ÎÄ̸¦µæ½ê}  
                 \mail{noro@para.flab.fujitsu.co.jp}  
   \and  ¾® ¸¶ ¸ù Ǥ\affil{¶âÂôÂç³ØÍý³ØÉô}  
                 \mail{ohara@kappa.s.kanazawa-u.ac.jp}  
   \and  ±ü ë ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}  
                 \mail{okutani@math.sci.kobe-u.ac.jp}                  \mail{okutani@math.sci.kobe-u.ac.jp}
   \and  ¹â »³ ¿® µ£\affil{¿À¸ÍÂç³ØÍý³ØÉô}    \and  ¾® ¸¶ ¡¡ ¸ù Ǥ\affil{¶âÂôÂç³ØÍý³ØÉô}
                   \mail{ohara@kappa.s.kanazawa-u.ac.jp}
     \and  ¹â »³ ¡¡ ¿® µ£\affil{¿À¸ÍÂç³ØÍý³ØÉô}
                 \mail{takayama@math.sci.kobe-u.ac.jp}                  \mail{takayama@math.sci.kobe-u.ac.jp}
   \and  ÅÄ Â¼  ¶³ »Î\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}    \and  ÅÄ Â¼ ¡¡ ¶³ »Î\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}
                 \mail{tamura@math.sci.kobe-u.ac.jp}                  \mail{tamura@math.sci.kobe-u.ac.jp}
     \and  Ìî Ϥ ¡¡ Àµ ¹Ô\affil{ÉÙ»ÎÄ̸¦µæ½ê}
                   \mail{noro@para.flab.fujitsu.co.jp}
     \and  Á° Àî ¡¡ ¾­ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô}
                   \mail{maekawa@math.sci.kobe-u.ac.jp}
 }  }
 \art{}  \art{}
   
 \begin{document}  \begin{document}
 \maketitle  \maketitle
   
   
 \section{OpenXM¤È¤Ï}  \section{OpenXM¤È¤Ï}
   
 OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë¡£  OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë.  ¿ô³Ø¥×¥í
 ¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¤ä¤ê¤È¤ê¤¹¤ë¤³¤È¤Ë¤è¤ê¡¢  ¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¤ä¤ê¤È¤ê¤¹¤ë¤³¤È¤Ë¤è¤ê, ¤¢¤ë¿ô³Ø¥×¥í¥»¥¹¤«¤é¾¤Î¿ô³Ø
 ¤¢¤ë¿ô³Ø¥×¥í¥»¥¹¤«¤é¾¤Î¿ô³Ø¥×¥í¥»¥¹¤ò¸Æ¤Ó½Ð¤·¤Æ·×»»¤ò¹Ô¤Ê¤Ã¤¿¤ê¡¢  ¥×¥í¥»¥¹¤ò¸Æ¤Ó½Ð¤·¤Æ·×»»¤ò¹Ô¤Ê¤Ã¤¿¤ê, ¾¤Î¥Þ¥·¥ó¤Ç·×»»¤ò¹Ô¤Ê¤ï¤»¤¿¤ê¤¹¤ë
 Â¾¤Î¥Þ¥·¥ó¤Ç·×»»¤ò¹Ô¤Ê¤ï¤»¤¿¤ê¤¹¤ë¤³¤È¤¬ÌÜŪ¤Ç¤¢¤ë¡£  ¤³¤È¤¬ÌÜŪ¤Ç¤¢¤ë.  ¤Ê¤ª, OpenXM ¤È¤Ï Open message eXchange protocol for
 ¤Ê¤ª¡¢ OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë¡£  Mathematics ¤Îά¤Ç¤¢¤ë.  OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê, asir ¤È
 OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê¡¢  kan/sm1 ¤òÁê¸ß¤Ë¸Æ¤Ó½Ð¤¹µ¡Ç½¤ò¼ÂÁõ¤·¤¿¤³¤È¤Ç¤¢¤ë.
 asir ¤È kan/sm1 ¤òÁê¸ß¤Ë¸Æ¤Ó½Ð¤¹µ¡Ç½¤ò¼ÂÁõ¤·¤¿¤³¤È¤Ç¤¢¤ë¡£  
   
 {\bf\large °Ê²¼¤ÎÀâÌÀ¤¬¤Ê¤¼É¬ÍפʤΤ«¤ÏÁ´Á³Ê¬¤«¤é¤Ê¤¤¤±¤ì¤É¡¢}  ½é´ü¤Î¼ÂÁõ¤Ç¤Ï, Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤Ã¤Æ¤¤¤¿.
 ½é´ü¤Î¼ÂÁõ¤Ç¤Ï¡¢Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤Ã¤Æ¤¤¤¿¡£¤³  ¤³¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤·
 ¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤·¤Æ¡¢  ¤Æ, Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë¹ç¤ï¤»¤¿Ê¸»úÎó¤òºîÀ®¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë¹ç¤ï¤»¤¿Ê¸»úÎó¤òºîÀ®¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£¤³¤Î  ¤³¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï, ¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ
 ¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï¡¢¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ¤¤¤¬¡¢  ¤¤¤¬, »È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë.
 »È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë¡£  
   
 ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë¡£¾åµ­¤Îʸ  ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë.  ¾åµ­¤Î
 »úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á¡¢OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»ú  Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á, OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ
 Îó¤È¤·¤Æ¡¢¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÍѤ¤¤¿¥á¥Ã¥»¡¼¥¸¤Î¸ò´¹¤â²Äǽ  »úÎó¤È¤·¤Æ, ¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÍѤ¤¤¿¥á¥Ã¥»¡¼¥¸¤Î¸ò´¹¤â²Ä
 ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£{\large\bf ¤·¤«¤·¡¢¤³¤ó¤ÊºÙ¤«¤¤¤³¤È¤ò¤³¤³¤ÇÀâÌÀ¤·¤Ê¤±¤ì¤Ð  Ç½¤È¤Ê¤Ã¤Æ¤¤¤ë.
 ¤Ê¤é¤Ê¤¤Íýͳ¤¬¤ä¤Ã¤Ñ¤êʬ¤«¤é¤Ê¤¤¤Ê¤¡¡£¹½À®Åª¤Ë¤ª¤«¤·¤¤¤È»×¤¦¤±¤É¤Ê¤¡¡£°Õ  
 Ì£ÉÔÌÀ¡£}  
   
 OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬¡¢¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP  OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬, ¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP
 ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤¡£¤½¤³¤Ç¡¢¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï  ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤.  \footnote{asir ¤Ë¤Ï MPI ¤òÍѤ¤¤¿¼ÂÁõ
 TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë¡£  ¤â¤¢¤ë.}  ¤½¤³¤Ç, ¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ
   ¤ë.
   
 \section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤}  \section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤}
   
 OpenXM ¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë TCP/IP ¼ÂÁõ¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤È  ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë.  ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç
 ¤Ê¤Ã¤Æ¤ª¤ê¡¢¼¡¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  ¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦.
   
   OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤È¤Ê¤Ã¤Æ¤ª¤ê, ¼¡
   ¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
   
 \begin{tabular}{|c|c|}  \begin{tabular}{|c|c|}
 \hline  \hline
 ¥Ø¥Ã¥À  & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\  ¥Ø¥Ã¥À  & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\
 \hline  \hline
 \end{tabular}  \end{tabular}
   
 ¥Ø¥Ã¥À¤ÎŤµ¤Ï 8 ¥Ð¥¤¥È¤Ç¤¢¤ë¤ÈÄê¤á¤é¤ì¤Æ¤¤¤ë¡£  ¥Ø¥Ã¥À¤ÎŤµ¤Ï 8 ¥Ð¥¤¥È¤Ç¤¢¤ë¤ÈÄê¤á¤é¤ì¤Æ¤¤¤ë.  ¥Ü¥Ç¥£¤ÎŤµ¤Ï¥á¥Ã¥»¡¼¥¸
 ¥Ü¥Ç¥£¤ÎŤµ¤Ï¥á¥Ã¥»¡¼¥¸¤´¤È¤Ë°Û¤Ê¤Ã¤Æ¤¤¤ë¤¬¡¢  ¤´¤È¤Ë°Û¤Ê¤Ã¤Æ¤¤¤ë¤¬, Ťµ¤Ï $0$ ¤Ç¤â¤è¤¤.
 Ä¹¤µ¤Ï $0$ ¤Ç¤â¤è¤¤¡£  
   
 ¥Ø¥Ã¥À¤Ï¼¡¤ÎÆó¤Ä¤Î¾ðÊó¤ò»ý¤Ã¤Æ¤¤¤ë¡£  ¥Ø¥Ã¥À¤Ï¼¡¤ÎÆó¤Ä¤Î¾ðÊó¤ò»ý¤Ã¤Æ¤¤¤ë.
 \begin{enumerate}  \begin{enumerate}
 \item   Á°È¾¤Î 4 ¥Ð¥¤¥È¡£¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤òɽ¤ï¤¹¼±Ê̻ҤǤ¢¤ê¡¢  \item
         ¥¿¥°¤È¸Æ¤Ð¤ì¤ë¡£  Á°È¾¤Î 4 ¥Ð¥¤¥È. ¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤òɽ¤ï¤¹¼±Ê̻ҤǤ¢¤ê, ¥¿¥°¤È¸Æ¤Ð¤ì¤ë.
 \item   ¸åȾ¤Î 4 ¥Ð¥¤¥È¡£¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤±¤é¤ì¤¿Ä̤·ÈÖ¹æ¤Ç¤¢¤ë¡£  \item
   ¸åȾ¤Î 4 ¥Ð¥¤¥È. ¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤±¤é¤ì¤¿Ä̤·ÈÖ¹æ¤Ç¤¢¤ë.
 \end{enumerate}  \end{enumerate}
 ¤½¤ì¤¾¤ì¤Î 4 ¥Ð¥¤¥È¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤È¤ß¤Ê¤µ¤ì¤Æ°·¤ï¤ì¤ë¡£  ¤½¤ì¤¾¤ì¤Î 4 ¥Ð¥¤¥È¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤È¤ß¤Ê¤µ¤ì¤Æ°·¤ï¤ì¤ë.
 ¤³¤Î¾ì¹ç¤ËÍѤ¤¤é¤ì¤ëÀ°¿ô¤Îɽ¸½ÊýË¡¤ÎÀâÌÀ¤Ë¤Ä¤¤¤Æ¤Ï¸å½Ò¤¹¤ë¤¬¡¢  
 ´ðËÜŪ¤Ëɽ¸½ÊýË¡¤Ï¤¤¤¯¤Ä¤«¤ÎÁªÂò»è¤«¤éÁª¤Ö¤³¤È¤¬²Äǽ¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  
 ¤Þ¤¿¤½¤ÎÁªÂò¤ÏÄÌ¿®Ï©¤Î³ÎΩ»þ¤Ë°ìÅÙ¤À¤±¤Ê¤µ¤ì¤ë¤³¤È¤ËÃí°Õ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  
 ¸½ºß¤ÎOpenXM µ¬Ìó¤Ç¤Ï¡¢¥¿¥°(À°¿ôÃÍ)¤È¤·¤Æ  
 °Ê²¼¤Î¤â¤Î¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£  
   
   ¤³¤Î¾ì¹ç¤ËÍѤ¤¤é¤ì¤ë 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤Æ¤ª¤³¤¦.  Ìä
   Âê¤Ë¤Ê¤ë¤Î¤ÏÉé¿ô¤Îɽ¸½¤È¥Ð¥¤¥È¥ª¡¼¥À¡¼¤ÎÌäÂê¤Ç¤¢¤ë.  ¤Þ¤º, Éé¿ô¤òɽ¤¹É¬
   Íפ¬¤¢¤ë¤È¤­¤Ë¤Ï2¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë.  ¼¡¤Ë¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Ç
   ¤¢¤ë¤¬, OpenXM µ¬Ìó¤ÏÊ£¿ô¤Î¥Ð¥¤¥È¥ª¡¼¥À¡¼¤òµöÍƤ¹¤ë.  ¤¿¤À¤·°ì¤Ä¤ÎÄÌ¿®Ï©
   ¤Ç¤Ï¤Ò¤È¤Ä¤Î¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Î¤ß¤¬µö¤µ¤ì, ÄÌ¿®Ï©¤Î³ÎΩ»þ¤Ë°ìÅÙ¤À¤±Áª¤Ð¤ì¤ë.
   
   ¸½ºß¤ÎOpenXM µ¬Ìó¤Ç¤Ï, ¥¿¥°(À°¿ôÃÍ)¤È¤·¤Æ°Ê²¼¤Î¤â¤Î¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
   
 \begin{verbatim}  \begin{verbatim}
 #define OX_COMMAND              513  #define OX_COMMAND              513
 #define OX_DATA                 514  #define OX_DATA                 514
Line 93  OpenXM ¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë TCP/IP ¼ÂÁõ¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥
Line 93  OpenXM ¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë TCP/IP ¼ÂÁõ¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥
 #define OX_DATA_MP              525  #define OX_DATA_MP              525
 \end{verbatim}  \end{verbatim}
   
 ¥Ü¥Ç¥£¤Î¹½Â¤¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¡£  ¥Ü¥Ç¥£¤Î¹½Â¤¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë.  OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë
 ¤³¤ÎÏÀʸ¤Ç¤Ï¡¢OX\_DATA ¤È OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤¤¤Æ¤Î¤ß¡¢  ¥á¥Ã¥»¡¼¥¸¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ç¤¢¤ê, ¤½¤ì°Ê³°¤Î¥á¥Ã¥»¡¼¥¸¤Ï²¿¤é¤«¤Î
 ÀâÌÀ¤¹¤ë¡£  ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¤·¤Æ¤¤¤ë.  ¤³¤ÎÏÀʸ¤Ç¤Ï OX\_DATA ¤È OX\_COMMAND ¤Ç¼±Ê̤µ
   ¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤¤¤Æ¤Î¤ß, ÀâÌÀ¤¹¤ë.
   
 ´û¸¤Î¥á¥Ã¥»¡¼¥¸¤Ç¤ÏÂбþ¤Ç¤­¤Ê¤¤¾ì¹ç¤Ï¡¢¿·¤·¤¤¼±Ê̻ҤòÄêµÁ¤¹¤ë¤³¤È¤Ç¿·¤·  ´û¸¤Î¥á¥Ã¥»¡¼¥¸¤Ç¤ÏÂбþ¤Ç¤­¤Ê¤¤¾ì¹ç¤Ï, ¿·¤·¤¤¼±Ê̻ҤòÄêµÁ¤¹¤ë¤³¤È¤Ç¿·¤·
 ¤¤¼ïÎà¤Î¥á¥Ã¥»¡¼¥¸¤òºîÀ®¤¹¤ë¤³¤È¤¬¤Ç¤­¤ë¡£¤³¤ÎÊýË¡¤Ï³Æ¿ô³Ø¥½¥Õ¥È¥¦¥§¥¢¤Î  ¤¤¼ïÎà¤Î¥á¥Ã¥»¡¼¥¸¤òºîÀ®¤¹¤ë¤³¤È¤¬¤Ç¤­¤ë. ¤³¤ÎÊýË¡¤Ï³Æ¿ô³Ø¥½¥Õ¥È¥¦¥§¥¢¤Î
 ¸ÇÍ­¤Îɽ¸½¤ò´Þ¤à¥á¥Ã¥»¡¼¥¸¤òºîÀ®¤·¤¿¤¤¾ì¹ç¤Ê¤É¤ËÍ­¸ú¤Ç¤¢¤ë¡£¿·¤·¤¤¼±ÊÌ»Ò  ¸ÇÍ­¤Îɽ¸½¤ò´Þ¤à¥á¥Ã¥»¡¼¥¸¤òºîÀ®¤·¤¿¤¤¾ì¹ç¤Ê¤É¤ËÍ­¸ú¤Ç¤¢¤ë. ¿·¤·¤¤¼±ÊÌ»Ò
 ¤ÎÄêµÁÊýË¡¤Ë¤Ä¤¤¤Æ¤Ï¡¢\cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È¡£  ¤ÎÄêµÁÊýË¡¤Ë¤Ä¤¤¤Æ¤Ï, \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È.
   
   
 \section{OpenXM ¤Î·×»»¥â¥Ç¥ë}  \section{OpenXM ¤Î·×»»¥â¥Ç¥ë}
   
 %{\Huge ¤³¤ÎÀá¤Ç¤Ï·×»»¥â¥Ç¥ë¤ÎÏäò¤·¤Ê¤±¤ì¤Ð¤¤¤±¤Þ¤»¤ó}  OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë. ¤Þ¤¿, OpenXM µ¬
   Ìó¤Ç¤Ï¥¯¥é¥¤¥¢¥ó¥È¡¦¥µ¡¼¥Ð¥â¥Ç¥ë¤òºÎÍѤ·¤Æ¤¤¤ë¤Î¤Ç, ¥á¥Ã¥»¡¼¥¸¤Î¸ò´¹¤Ï¥µ¡¼
   ¥Ð¤È¥¯¥é¥¤¥¢¥ó¥È¤Î´Ö¤Ç¹Ô¤Ê¤ï¤ì¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤«¤é¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷
   ¤ê, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤«¤é¥á¥Ã¥»¡¼¥¸¤ò¼õ¤±¼è¤ë¤³¤È¤Ë¤è¤Ã¤Æ·×»»¤Î·ë²Ì¤¬
   ÆÀ¤é¤ì¤ë. ¤³¤Î¥á¥Ã¥»¡¼¥¸¤Î¤ä¤ê¤È¤ê¤Ï¥¯¥é¥¤¥¢¥ó¥È¤Î¼çƳ¤Ç¹Ô¤ï¤ì¤ë. ¤Ä¤Þ¤ê,
   ¥¯¥é¥¤¥¢¥ó¥È¤Ï¼«Í³¤Ë¥á¥Ã¥»¡¼¥¸¤ò¥µ¡¼¥Ð¤ËÁ÷ÉÕ¤·¤Æ¤â¤è¤¤¤¬, ¥µ¡¼¥Ð¤«¤é¤Ï¼«
   È¯Åª¤Ë¥á¥Ã¥»¡¼¥¸¤¬Á÷ÉÕ¤µ¤ì¤ë¤³¤È¤Ï¤Ê¤¤. ¤³¤Î¸¶Íý¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó
   ¤Ç¤¢¤ë¤³¤È¤Ç¼Â¸½¤µ¤ì¤ë. ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤Æ¤Ï \ref{sec:oxsm} Àá
   ¤Ç½Ò¤Ù¤ë.
   
 OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë¡£¤Þ¤¿¡¢ OpenXM µ¬  ¥µ¡¼¥Ð¤¬¥¯¥é¥¤¥¢¥ó¥È¤«¤é¼õ¤±¼è¤Ã¤¿¥ª¥Ö¥¸¥§¥¯¥È(¤Ä¤Þ¤ê OX\_COMMAND ¤Ç¤Ê¤¤
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 ¥Ð¤È¥¯¥é¥¤¥¢¥ó¥È¤Î´Ö¤Ç¹Ô¤Ê¤ï¤ì¤ë¡£¥¯¥é¥¤¥¢¥ó¥È¤«¤é¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷  (OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£)¤ò¼õ¤±¼è¤Ã¤¿¥µ¡¼¥Ð¤ÏÌ¿Îá¤ËÂÐ
 ¤ê¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤«¤é¥á¥Ã¥»¡¼¥¸¤ò¼õ¤±¼è¤ë¤³¤È¤Ë¤è¤Ã¤Æ·×»»¤Î·ë²Ì¤¬  ±þ¤¹¤ëÆ°ºî¤ò¹Ô¤Ê¤¦. ¤³¤Î¤È¤­, Ì¿Îá¤Ë¤è¤Ã¤Æ¤Ï¥¹¥¿¥Ã¥¯¤«¤é¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è
 ÆÀ¤é¤ì¤ë¡£  ¤ê½Ð¤¹¤³¤È¤¬¤¢¤ê, ¤Þ¤¿(³Æ¿ô³Ø¥·¥¹¥Æ¥à¤Ç¤Î)·×»»·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤळ¤È¤¬
   ¤¢¤ë. ¤â¤·, Í¿¤¨¤é¤ì¤¿¥Ç¡¼¥¿¤¬Àµ¤·¤¯¤Ê¤¤¤Ê¤É¤ÎÍýͳ¤Ç¥¨¥é¡¼¤¬À¸¤¸¤¿¾ì¹ç¤Ë
   ¤Ï¥µ¡¼¥Ð¤Ï¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. ·×»»·ë²Ì¤ò¥¯¥é¥¤¥¢¥ó¥È¤¬ÆÀ
   ¤ë¾ì¹ç¤Ë¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îá SM\_popCMO ¤Þ¤¿¤Ï SM\_popString ¤ò¥µ¡¼¥Ð
   ¤ËÁ÷¤é¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. ¤³¤ì¤é¤ÎÌ¿Îá¤ò¼õ¤±¼è¤Ã¤Æ¤Ï¤¸¤á¤Æ, ¥µ¡¼¥Ð¤«¤é¥¯¥é
   ¥¤¥¢¥ó¥È¤Ø¥á¥Ã¥»¡¼¥¸¤¬Á÷¤é¤ì¤ë.
   
 ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¡£¥µ¡¼¥Ð¤¬¥¯¥é¥¤¥¢¥ó¥È¤«¤é¼õ¤±¼è¤Ã¤¿¥á¥Ã¥»¡¼  ¤Þ¤È¤á¤ë¤È, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê, ·×»»¤Î·ë²Ì¤òÆÀ¤ë¤È¤¤
 ¥¸¤Ï¡¢¥¿¥°¤¬ OX\_COMMAND ¤Ç¤Ê¤±¤ì¤Ð¤¹¤Ù¤Æ¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë¡£¥¿¥°¤¬  ¤¦¼ê½ç¤Ï°Ê²¼¤Î¤è¤¦¤Ë¤Ê¤ë.
 OX\_COMMAND ¤È¤Ê¤Ã¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ç¤¢¤ê¡¢¤³¤Î¥á¥Ã  
 ¥»¡¼¥¸¤ò¼õ¤±¼è¤Ã¤¿¥µ¡¼¥Ð¤Ï¤½¤ì¤ËÂбþ¤¹¤ëÆ°ºî¤ò¹Ô¤Ê¤¦¤³¤È¤¬´üÂÔ¤µ¤ì¤Æ¤¤¤ë¡£  
 ¥µ¡¼¥Ð¤Ï¥á¥Ã¥»¡¼¥¸¤ò¼õ¤±¼è¤é¤Ê¤¤¸Â¤ê¡¢¼«¤é²¿¤«Æ°ºî¤ò¤ª¤³¤Ê¤ï¤Ê¤¤¡£  
   
 {\large\bf °ÕÌ£ÉÔÌÀ¤Ê½ñ¤­Êý¤À¤±¤É¡¢}  \begin{enumerate}
   \item
   ¤Þ¤º, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥ª¥Ö¥¸¥§¥¯¥È¤òÁ÷¤ë.  ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤­¤¿¥ª
   ¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
   \item
   ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë·×»»¤ÎÌ¿Îá¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¤¢¤é¤«¤¸¤áÄê¤á¤ì¤é¤¿Æ°
   ºî¤ò¹Ô¤¦.  °ìÉô¤ÎÌ¿Îá¤Ï¥¹¥¿¥Ã¥¯¤Î¾õÂÖ¤òÊѹ¹¤¹¤ë.  Î㤨¤Ð
   SM\_executeFunction, \\ SM\_executeStringByLocalParser ¤Ê¤É¤ÎÌ¿Îá¤Ï, ¥¹
   ¥¿¥Ã¥¯¾å¤Î¥ª¥Ö¥¸¥§¥¯¥È¤«¤é·×»»¤ò¹Ô¤¦.  SM\_popCMO ¤â¤·¤¯¤Ï SM\_popString
   ¤Ï, ¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è¤ê¤À¤·, ¥¯¥é¥¤¥¢¥ó¥È¤ËÁ÷¤êÊÖ¤¹.
   \end{enumerate}
   
 ¤³¤ì¤ÏËè²ó¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë  
 ¤¿¤Ó¤Ë¡¢¤¤¤Ä¤â¥µ¡¼¥Ð¤«¤é¤Î¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤¬ÂÔ¤ÄɬÍפ¬¤Ê¤¤¤³¤È¤ò  
 °ÕÌ£¤¹¤ë¡£¤³¤Î¤¿¤á¡¢¥¯¥é¥¤¥¢¥ó¥È¤Ï¥µ¡¼¥Ð¤Î¾õÂÖ¤òµ¤¤Ë¤»¤º¤Ë¥á¥Ã¥»¡¼¥¸¤òÁ÷  
 ¤ê¡¢°ìö¥á¥Ã¥»¡¼¥¸¤òÁ÷ÉÕ¤·½ª¤¨¤¿¸å¡¢¥µ¡¼¥Ð¤ØÁ÷¤Ã¤¿¥á¥Ã¥»¡¼¥¸¤Î·ë²Ì¤ò¥µ¡¼  
 ¥Ð¤«¤éÂԤĤ³¤È¤Ê¤·¤Ë¼¡¤ÎÆ°ºî¤Ë°Ü¤ë¤³¤È¤¬¤Ç¤­¤ë¡£  
   
 \section{OpenXM ¤Î·×»»¤Î¿Ê¹ÔÊýË¡}  \section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó}\label{sec:oxsm}
   
 Á°¤ÎÀá¤È½ÅÊ£¤·¤Æ¤¤¤ë¤Î¤Ç¤â¤¦¾¯¤·¤Á¤ã¤ó¤È¹Í¤¨¤ÆÍߤ·¤¤¤Î¤À¤±¤ì¤É¡¢  OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤¤¤ë. °Ê²¼, OpenXM
   ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤È¸Æ¤Ö. ¤³¤ÎÀá¤Ç¤ÏOpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ
   ¤·¤è¤¦.
   
 ¥µ¡¼¥Ð¤¬¹Ô¤¦¤Î¤Ï´ðËÜŪ¤Ë¼¡¤Î»öÊÁ¤À¤±¤Ç¤¢¤ë¡£  ¤Þ¤º, OpenXM µ¬Ìó¤ÏÄÌ¿®»þ¤Ë¤ä¤ê¤È¤ê¤µ¤ì¤ë¶¦Ä̤Υǡ¼¥¿·Á¼°¤Ë¤Ä¤¤¤Æ¤Ïµ¬Äê
 ¥¯¥é¥¤¥¢¥ó¥È¤«¤é¥á¥Ã¥»¡¼¥¸¤ò¼õ¤±¼è¤ë¤È¡¢  ¤¹¤ë¤¬, OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬¥¹¥¿¥Ã¥¯¤ËÀѤà, ¥ª¥Ö¥¸¥§¥¯¥È¤Î¹½Â¤¤Þ¤Ç¤Ï
 ¥µ¡¼¥Ð¤Ï¤Þ¤º¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤòÄ´¤Ù¡¢  µ¬Äꤷ¤Ê¤¤. ¤Ä¤Þ¤ê, ¥ª¥Ö¥¸¥§¥¯¥È¤Î¹½Â¤¤Ï³Æ¿ô³Ø¥·¥¹¥Æ¥à¤´¤È¤Ë°Û¤Ê¤Ã¤Æ¤¤¤ë
 ¥¿¥°¤¬ OX\_COMMAND ¤Î¥á¥Ã¥»¡¼¥¸¤Ç¤Ê¤±¤ì¤Ð¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  ¤È¤¤¤¦¤³¤È¤Ç¤¢¤ë. ¤³¤Î¤³¤È¤ÏÄÌ¿®Ï©¤«¤é¥Ç¡¼¥¿¤ò¼õ¤±¼è¤Ã¤¿ºÝ¤Ë, ³Æ¿ô³Ø¥·¥¹
 ¥¿¥°¤¬ OX\_COMMAND ¤Î¥á¥Ã¥»¡¼¥¸¤Ç¤¢¤ì¤Ð¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤«¤é  ¥Æ¥à¤¬¸ÇÍ­¤Î¥Ç¡¼¥¿¹½Â¤¤ËÊÑ´¹¤·¤Æ¤«¤é¥¹¥¿¥Ã¥¯¤ËÀѤळ¤È¤ò°ÕÌ£¤¹¤ë. ¤³¤ÎÊÑ
 ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îᥳ¡¼¥É¤ò¼è¤ê¤À¤·¡¢  ´¹¤Ï1ÂÐ1Âбþ¤Ç¤¢¤ëɬÍפϤʤ¤.
 ¤¢¤é¤«¤¸¤áµ¬Ìó¤ÇÄê¤á¤é¤ì¤¿Æ°ºî¤ò¹Ô¤Ê¤¦¡£  
   
 ¾å¤ÎÀâÌÀ¤Ç¤ï¤«¤ë¤è¤¦¤Ë¡¢  ¼¡¤Ë OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îᥳ¡¼¥É¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. OpenXM ¥¹¥¿¥Ã¥¯
 ¥µ¡¼¥Ð¤Ï¥¯¥é¥¤¥¢¥ó¥È¤«¤é¤Î»Ø¼¨¤Ê¤·¤Ë¡¢  ¥Þ¥·¥ó¤Ë¤ª¤±¤ë¤¹¤Ù¤Æ¤ÎÌ¿Îá¤Ï4¥Ð¥¤¥È¤ÎŤµ¤ò»ý¤Ä. OpenXM µ¬Ìó¤Î¾¤Îµ¬Äê¤È
 ¼«¤é¥á¥Ã¥»¡¼¥¸¤òÁ÷¤é¤Ê¤¤¤³¤È¤ËÃí°Õ¤¹¤ëɬÍפ¬¤¢¤ë¡£  Æ±ÍͤË, 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ï32¥Ó¥Ã¥ÈÀ°¿ô¤È¸«¤Ê¤µ¤ì¤ë¤Î¤Ç, ¤³¤ÎÏÀʸ¤Ç¤â¤½¤Î
 %(Îã³°? ox\_asir ¤Î mathcap)¡£  É½µ­¤Ë¤·¤¿¤¬¤¦. OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë¤³
   ¤È¤Ï¤Ê¤¤. ¸½ºß¤Î¤È¤³¤í, OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤ÎÌ¿Î᤬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
   
 ¥µ¡¼¥Ð¤¬¥¯¥é¥¤¥¢¥ó¥È¤«¤é¼õ¤±¼è¤Ã¤¿¥á¥Ã¥»¡¼¥¸¤Ï¤¹¤Ù¤Æ¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë¡£  \begin{verbatim}
 ¼¡¤¤¤Ç¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤òÁ÷¤ë¤È¡¢  #define SM_popSerializedLocalObject               258
 ½é¤á¤Æ¥µ¡¼¥Ð¤Ï¥Ç¡¼¥¿¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà°Ê³°¤Î¤Ê¤ó¤é¤«¤ÎÆ°ºî¤ò¹Ô¤Ê¤¦¡£  #define SM_popCMO                                 262
 ¤³¤Î¤È¤­¡¢É¬Íפ¬¤¢¤ì¤Ð¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤«¤éɬÍפʤÀ¤±¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤¹¡£  #define SM_popString                              263
 ¤³¤³¤Ç¡¢¥¯¥é¥¤¥¢¥ó¥È¤«¤é¤ÎÌ¿Îá¤Ë¤è¤ëÆ°ºîÃæ¤Ë¤¿¤È¤¨¥¨¥é¡¼¤¬È¯À¸¤·¤¿¤È¤·¤Æ¤â  
 ¥µ¡¼¥Ð¤Ï¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà¤À¤±¤Ç¡¢  
 ÌÀ¼¨¤µ¤ì¤Ê¤¤¸Â¤ê¥¨¥é¡¼¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÊÖ¤µ¤Ê¤¤¤³¤È¤ËÃí°Õ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  
   
 ·ë²Ì¤¬À¸¤¸¤ëÆ°ºî¤ò¥µ¡¼¥Ð¤¬¹Ô¤Ê¤Ã¤¿¾ì¹ç¡¢  #define SM_mathcap                                264
 ¥µ¡¼¥Ð¤ÏÆ°ºî¤Î·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  #define SM_pops                                   265
 ¥µ¡¼¥Ð¤Ë¹Ô¤Ê¤ï¤»¤¿Æ°ºî¤Î·ë²Ì¤ò¥¯¥é¥¤¥¢¥ó¥È¤¬ÃΤꤿ¤¤¾ì¹ç¡¢  #define SM_setName                                266
 ¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¤ò¥µ¡¼¥Ð¦¤ØÁ÷¤ì¤Ð¤è¤¤¡£  #define SM_evalName                               267
   #define SM_executeStringByLocalParser             268
   #define SM_executeFunction                        269
   #define SM_beginBlock                             270
   #define SM_endBlock                               271
   #define SM_shutdown                               272
   #define SM_setMathCap                             273
   #define SM_executeStringByLocalParserInBatchMode  274
   #define SM_getsp                                  275
   #define SM_dupErrors                              276
   
 %{\Huge °Ê²¼¡¢½ñ¤­Ä¾¤·}  #define SM_DUMMY_sendcmo                          280
   #define SM_sync_ball                              281
   
 ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê¡¢  #define SM_control_kill                          1024
 ·×»»¤Î·ë²Ì¤òÆÀ¤ë¤È¤¤¤¦¼ê½ç¤òÄɤäƤ¤¤¯¤È¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£  #define SM_control_to_debug_mode                 1025
   #define SM_control_exit_debug_mode               1026
   #define SM_control_ping                          1027
   #define SM_control_start_watch_thread            1028
   #define SM_control_stop_watch_thread             1029
   #define SM_control_reset_connection              1030
   \end{verbatim}
   
 \begin{enumerate}  ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤ÎÃæ¤Ë¤Ï¼Â¹Ô¤Ë¤è¤Ã¤Æ·ë²Ì¤¬Ê֤äƤ¯¤ë¤â¤Î¤¬¤¢¤ë.
 \item   ¤Þ¤º¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¡£  ·ë²Ì¤¬Ê֤äƤ¯¤ëÌ¿Îá¤ò¼Â¹Ô¤·¤¿¾ì¹ç, ¥µ¡¼¥Ð¤Ï¤½¤Î·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
         ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤­¤¿¥á¥Ã¥»¡¼¥¸¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  ¤¿¤È¤¨¤Ð, Ì¿Îá SM\_executeStringByLocalParser ¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë¥ª
 \item   ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤òÁ÷¤ë¤È¡¢  ¥Ö¥¸¥§¥¯¥È¤ò¥µ¡¼¥Ð¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤È¤ß¤Ê¤·¤Æ·×»»¤ò¹Ô
         ¥µ¡¼¥Ð¤ÏɬÍפʤÀ¤±¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢  ¤Ê¤¦¤¬, ¹Ô¤Ê¤Ã¤¿·×»»¤Î·ë²Ì¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë.
         ¼Â¹Ô¤·¤¿·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  
 \item   ºÇ¸å¤Ë¡Ö¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¡×¤ò  
         ¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤«¤é·×»»·ë²Ì¤ÎÆþ¤Ã¤Æ¤¤¤ë  
         ¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷½Ð¤¹¤ë¡£  
 \end{enumerate}  
   
   ¤Ê¤ª, Ì¿Îá¤Î¼Â¹ÔÃæ¤Ë¥¨¥é¡¼¤¬µ¯¤³¤ê, ·ë²Ì¤¬ÆÀ¤é¤ì¤Ê¤«¤Ã¤¿¾ì¹ç¤Ë¤Ï,
   ¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤¬¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë.
   
 \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}  \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo}
   
 OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ  OpenXM µ¬Ìó¤Ç¤Ï, ¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ CMO ·Á¼°(Common
 CMO ·Á¼°(Common Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£  Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë. ¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼
 ¤³¤Î CMO ·Á¼°¤ò»È¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¤Ë¤Ï¡¢  ¥¿¤Ï, ¼±Ê̻Ҥ¬ OX\_DATA ¤Ç¤¢¤ë¤è¤¦¤Ê¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤Ë¤Ê¤ë¤³¤È¤òÁÛÄꤷ
 ¥¿¥°¤ò OX\_DATA ¤Ë¤¹¤ì¤Ð¤è¤¤¡£  ¤Æ¤¤¤ë.
 CMO ·Á¼°¤Ë¤ª¤±¤ë¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£Éôʬ¤Ë¤Ä¤¤¤Æ°Ê²¼¤ÇÀâÌÀ¤¹¤ë¤¬¡¢  
 %OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤ò¼ÂºÝ¤ËºîÀ®¤¹¤ë¾ì¹ç¡¢  
 CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¿ÇÜĹÀ°¿ô¤òÍý²ò¤·¤Æ¤ª¤¯¤È¡¢  
 CMO ·Á¼°¤Î¾¤Î¥Ç¡¼¥¿¹½Â¤¤À¤±¤Ç¤Ê¤¯¡¢  
 OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ëÍÍ¡¹¤Ê¥Ç¡¼¥¿¹½Â¤¤òÍý²ò¤¹¤ë½õ¤±¤Ë¤Ê¤ë¤È»×¤¨¤ë¤Î¤Ç¡¢  
 ¤³¤³¤Ç¤Ï CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë¡£  
   
 CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥Ç¡¼¥¿¤Ï¿ÇÜĹÀ°¿ô°Ê³°¤Ë¤â  CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä.
 Ê¸»úÎó¤ä¥ê¥¹¥È¹½Â¤¤Ê¤É¤¬¤¢¤ë¡£¤É¤Î¤è¤¦¤Ê¥Ç¡¼¥¿¤Ç¤¢¤ë¤«¤Ï  
 ¥Ç¡¼¥¿¤ÎÀèƬ¤Ë¤¢¤ë(¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤȤÏÊ̤ˤ¢¤ë)¥¿¥°¤ò¸«¤ì¤Ð  
 È½Ê̤Ǥ­¤ë¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤³¤ì¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ÎȽÊ̤λÅÊý¤È¤ª¤Ê¤¸¤Ç¤¢¤ë¡£  
 ¤Ê¤ª¡¢¥¿¥°¤Ï³Æ¥Ç¡¼¥¿Ëè¤Ë 32 bit ¤ÎÀ°¿ô¤Çɽ¤µ¤ì¤Æ¤ª¤ê¡¢  
 Â¿ÇÜĹÀ°¿ô¤Ï 20 ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤è¤¯»È¤ï¤ì¤ë¤È»×¤ï¤ì¤ë CMO ·Á¼°¤Î¥¿¥°¤ò¤¢¤²¤Æ¤ª¤¯¡£  
 \begin{verbatim}  
 #define CMO_INT32    2 /* 32 ¥Ó¥Ã¥ÈÀ°¿ô */  
 #define CMO_STRING   4 /* ʸ»úÎó        */  
 #define CMO_MATHCAP  5 /* mathcap(¸å½Ò) */  
 #define CMO_LIST    17 /* ¥ê¥¹¥È¹½Â¤    */  
 #define CMO_ZZ      20 /* ¿ÇÜĹÀ°¿ô    */  
 \end{verbatim}  
   
 ¤³¤³¤Ç TCP/IP ¼ÂÁõ¤Ë¤ª¤±¤ë 32 bit ¤ÎÀ°¿ô¤Î  \begin{tabular}{|c|c|} \hline
 É½¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£  ¥Ø¥Ã¥À        & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline
 OpenXM µ¬Ìó¤Î TCP/IP ¼ÂÁõ¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò  
 {\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë¡£  
 ¤³¤Îɽ¸½ÊýË¡¤Î°ã¤¤¤Ï¥¯¥é¥¤¥¢¥ó¥È¤È¥µ¡¼¥Ð¤ÎºÇ½é¤ÎÀܳ»þ¤Ë  
 ÁÐÊý¤Î¹ç°Õ¤Ç·èÄꤹ¤ë¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤Ê¤ª¡¢¹ç°Õ¤¬¤Ê¤¤¾ì¹ç¤Ë¤ÏÁ°¼Ô¤Îɽ¸½ÊýË¡  
 (°Ê¸å¡¢¤³¤Îɽ¸½ÊýË¡¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤È¸Æ¤Ö)¤ò  
 »È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤Þ¤¿¡¢Éé¤Î¿ô¤òɽ¸½¤¹¤ëɬÍפ¬¤¢¤ë¤È¤­¤Ë¤Ï¡¢  
 2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
   
 CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢  
 Éä¹çÉÕ¤­ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£  
 ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£  
   
 \begin{tabular}{|c|c|c|c|c|} \hline  
 $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline  
 \end{tabular}  \end{tabular}
   
 ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢  ¥Ø¥Ã¥À¤Ï4¥Ð¥¤¥È¤Ç¤¢¤ë. ¥Ü¥Ç¥£¤ÎŤµ¤Ï¤½¤ì¤¾¤ì¤Î¥Ç¡¼¥¿¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¤¬,
 $f$ ¤ÏÉä¹çÉÕ¤­ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢  0¤Ç¤â¤è¤¤.
 $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹ç¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£  
 ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  
 ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï  
 \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots  
         + b_{n-1} (2^{32})^{n-1} \}     \]  
 ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£  
 ¤¿¤À¤·¡¢  
 \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll}  
         1       & f>0 \\  
         0       & f=0 \\  
         -1      & f<0 \\ \end{array} \right.    \]  
 ¤Ç¤¢¤ë¡£  
   
 ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£  ¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë. ¤¹¤Ê¤ï¤Á, CMO ¤Ç¤Ï¥Ø¥Ã
 $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î  ¥À¤Ï°ì¤Ä¤À¤±¤Î¾ðÊó¤ò´Þ¤à. ¤³¤Î4¥Ð¥¤¥È¤Î¥Ø¥Ã¥À¤Î¤³¤È¤ò¥¿¥°¤È¤â¤¤¤¦. ¤µ¤Æ,
 ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢  CMO ¤Ç¤Ï, ¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë. ¤¹¤Ê¤ï¤Á, ¥¿¥°¤Ï¤½¤ì
 \begin{center}  ¤¾¤ì¤Î¥Ç¡¼¥¿¹½Â¤¤È1ÂÐ1¤ËÂбþ¤¹¤ë¼±Ê̻ҤǤ¢¤ë. ¤½¤ì¤¾¤ì¤ÎÏÀÍýŪ¹½Â¤¤Ï
         {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01}  \cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë. ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬
 \end{center}  ÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
 ¤È¤Ê¤ë¡£¤Þ¤¿¡¢Æ±¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È¡¢  
 \begin{center}  
         {\tt 00 00 00 14 ff ff ff ff 00 00 00 01}  
 \end{center}  
 ¤È¤Ê¤ë¡£  
   
   \begin{verbatim}
   #define CMO_ERROR2  0x7f000002
   #define CMO_NULL    1
   #define CMO_INT32   2
   #define CMO_DATUM   3
   #define CMO_STRING  4
   #define CMO_MATHCAP 5
   
 \section{mathcap ¤Ë¤Ä¤¤¤Æ}  #define CMO_START_SIGNATURE      0x7fabcd03
   #define CMO_ARRAY                16
   #define CMO_LIST                 17
   #define CMO_ATOM                 18
   #define CMO_MONOMIAL32           19
   #define CMO_ZZ                   20
   #define CMO_QQ                   21
   #define CMO_ZERO                 22
   #define CMO_DMS_GENERIC          24
   #define CMO_DMS_OF_N_VARIABLES   25
   #define CMO_RING_BY_NAME         26
   #define CMO_RECURSIVE_POLYNOMIAL 27
   #define CMO_LIST_R               28
   
 OpenXM µ¬Ìó¤Ç¤Ï¡¢ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò  #define CMO_INT32COEFF                 30
 ³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À©¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë¡£  #define CMO_DISTRIBUTED_POLYNOMIAL     31
 ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã¥»¡¼¥¸¤ò  #define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33
 ¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë¡£  #define CMO_RATIONAL                   34
 ¤Þ¤¿¡¢³Æ¥½¥Õ¥È¥¦¥§¥¢¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤âÍ­¸ú¤Ç¤¢¤ë¡£  
 ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë mathcap ¤È  
 ¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë¡£  
 ¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤È¡¢  
 ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£  
   
 ¤Þ¤º¡¢¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦¡£  #define CMO_64BIT_MACHINE_DOUBLE           40
 ¥¯¥é¥¤¥¢¥ó¥È¦¤Î mathcap ¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢  #define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE  41
 ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë¡¢¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿ mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤ߾夲¤ë¡£  #define CMO_128BIT_MACHINE_DOUBLE          42
 ¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤³¤È¤Ë¤è¤ê¡¢  #define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43
 ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¤ò¼è¤ê½Ð¤·¡¢  
 mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¦¤Ø  
 Á÷¤é¤Ê¤¤¤è¤¦¤ËÀßÄꤹ¤ë¡£  
 ¥µ¡¼¥Ð¦¤Î mathcap ¤¬Íߤ·¤¤¾ì¹ç¤Ë¤Ï°Ê²¼¤Î¤è¤¦¤Ë¤¹¤ë¡£  
 ¥¯¥é¥¤¥¢¥ó¥È¤¬¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îᥳ¡¼¥É¤Ë¤è¤êÍ׵᤹¤ë¤È¡¢  
 ¥µ¡¼¥Ð¤Ï¥µ¡¼¥Ð¼«¿È¤Î mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  
 ¤µ¤é¤Ë¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤ËÌ¿Îá¤òÁ÷¤ì¤Ð¡¢  
 ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤Ë¤¢¤ë mathcap ¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷½Ð¤¹¤ë¡£  
 ¤³¤Î¤è¤¦¤Ë¤·¤Æ¥¯¥é¥¤¥¢¥ó¥È¤Ï¥µ¡¼¥Ð¦¤Î mathcap ¤ò¼õ¤±¼è¤ë¤ï¤±¤Ç¤¢¤ë¡£  
   
 ¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£  #define CMO_BIGFLOAT          50
   #define CMO_IEEE_DOUBLE_FLOAT 51
   
 mathcap ¤Ï°Ê²¼¤Î¤è¤¦¤Ê 3 ¤Ä¤ÎÍ×ÁǤ«¤é¤Ê¤ë¥ê¥¹¥È¤ò»ý¤Ã¤Æ¤¤¤ë¡£  #define CMO_INDETERMINATE 60
   #define CMO_TREE          61
   #define CMO_LAMBDA        62
   \end{verbatim}
   
 \begin{tabular}{|c|c|c|} \hline  ¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING,
 $A$ & $B$ & $C$ \\ \hline  CMO\_MATHCAP, CMO\_LIST ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§
 \end{tabular}  ¥¯¥È¤Ç¤¢¤Ã¤Æ, ¤¹¤Ù¤Æ¤Î OpenXM Âбþ¥·¥¹¥Æ¥à¤Ë¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
   
 ºÇ½é¤ÎÍ×ÁÇ $A$ ¤ÎÉôʬ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤ª¤ê¡¢  ¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤Ëµ­Ë¡¤Ë¤Ä¤¤¤Æ, ¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯.
 $a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢  ¤³¤ÎÏÀʸ¤Ç¤Ï, Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï, ¾åµ­¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò
 $a_2$ ¤Ïʸ»úÎó¤Ç¥·¥¹¥Æ¥à¤Î̾Á°¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  ¤òɽ¤ï¤¹. ¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼
   ¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë.
   
 \begin{tabular}{|c|c|} \hline  ¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤Îµ­Ë¡¤òƳÆþ¤¹¤ë. ¤³¤Îµ­Ë¡¤Ï CMO expression
 $a_1$ & $a_2$   \\ \hline  ¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë. ¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È.
 \end{tabular}  
   
 2 ÈÖÌܤÎÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£  ¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç, cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤·
   ¤Æɽ¸½¤¹¤ë. ¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀÚ¤ë.
   Î㤨¤Ð,
   \begin{quote}
   (17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$))
   \end{quote}
   ¤Ï CMO expression ¤Ç¤¢¤ë. ¤³¤³¤Ç, ¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}''
   ¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ­¹æ¤Ç¤¢¤ê, ``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4
   ¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹. ¤Þ¤¿¿ô»ú 17, 2
   ¤Ê¤É¤Ï 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤­¤ÎÃͤò°ÕÌ£¤¹¤ë. CMO\_NULL ¤Ï
   ¼±ÊÌ»Ò(¤¹¤Ê¤ï¤Á¿ô»ú 1 ¤ÈÅù²Á)¤Ç¤¢¤ë. ¤³¤Îµ­Ë¡¤«¤é¾åµ­¤Î¥Ç¡¼¥¿¤Ï 20 ¥Ð¥¤
   ¥È¤ÎÂ礭¤µ¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤³¤È¤¬Ê¬¤«¤ë.  ¤Ê¤ª, CMO expression ¤Ïñ¤Ê¤ëɽµ­
   Ë¡¤Ç¤¢¤ë¤³¤È¤ËÆäËÃí°Õ¤·¤Æ¤Û¤·¤¤.
   
 \begin{tabular}{|c|c|c|c|} \hline  ¤µ¤Æ, ¤³¤Îµ­Ë¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤Ç¤¢¤ë¤ÈÄêµÁ¤¹¤ë.
 $b_1$ & $b_2$ & $\cdots$ & $b_n$        \\ \hline  \begin{quote}
 \end{tabular}  cmo\_int32 := (CMO\_INT32,  {\sl int32})
   \end{quote}
   Æ±ÍͤË, cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã
   ¥¯¥¹¤Ï¼¡¤Î¤è¤¦¤ËÄêµÁ¤µ¤ì¤ë.
   \begin{quote}
   cmo\_null := (CMO\_NULL) \\
   cmo\_string := (CMO\_STRING, {\sl int32} $n$, {\sl string} $s$) \\
   cmo\_list := (CMO\_LIST, {\sl int32} $m$, {\sl cmo} $c_1$, $\ldots$,
   {\sl cmo} $c_m$) \\
   cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list})
   \end{quote}
   ¤¿¤À¤·, {\sl string}¤ÏŬÅö¤ÊŤµ¤Î¥Ð¥¤¥ÈÎó¤òɽ¤¹. $s$ ¤Î¥Ð¥¤¥ÈĹ¤Ï $n$
   ¤È°ìÃפ¹¤ë¤³¤È¤¬Í׵ᤵ¤ì¤ë.
   
 ¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤ë¡£  \section{mathcap ¤Ë¤Ä¤¤¤Æ}
 ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Çɽ¤·¤Æ¤ª¤ê¡¢  
 ³Æ $b_i$ ¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ËÂбþ¤¹¤ë 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
   
 3 ÈÖÌܤÎÍ×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£  OpenXM µ¬Ìó¤Ç¤Ï, ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À©
   ¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë. ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã
   ¥»¡¼¥¸¤ò¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë. ¤Þ¤¿, ³Æ¥½¥Õ¥È¥¦¥§¥¢
   ¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤âÍ­¸ú¤Ç¤¢¤ë. ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)
   ¤Ï mathcap ¤È¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë. ¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼
   ¥¿¹½Â¤¤È, ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë.
   
 \begin{tabular}{|c|c|c|c|} \hline  ¤Ç¤Ï, ¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦.
 $c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline  
 \end{tabular}  
   
 ³Æ $c_i$ ¤â¤Þ¤¿¥ê¥¹¥È¹½Â¤¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  Âè°ì¤Ë¥µ¡¼¥Ð¤Îµ¡Ç½¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬ mathcap
 ºÇ½é¤ÎÍ×ÁǤ¬ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
 ¤³¤ÎÀ°¿ôÃͤϼõ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥¿¥°¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  ¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤¬Ì¿Îá SM\_setMathCap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì
 2 ÈÖÌܤÎÍ×ÁǰʹߤˤĤ¤¤Æ¤Ï¥¿¥°¤´¤È¤ËÆÈΩ¤Ë·è¤Þ¤Ã¤Æ¤¤¤ë¡£  ¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è¤ê½Ð¤·, mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê
   ¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷¤é¤Ê¤¤¤è¤¦¤ËÀ©¸Â¤ò¹Ô¤¦.
   
   ÂèÆó¤Ë¥¯¥é¥¤¥¢¥ó¥È¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤ËÌ¿Îá \\
   SM\_mathcap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
   ¤µ¤é¤ËÌ¿Îá SM\_popCMO ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö¥¸¥§¥¯¥È
   (¤¹¤Ê¤ï¤Á mathcap ¥ª¥Ö¥¸¥§¥¯¥È)¤ò¥Ü¥Ç¥£¤È¤¹¤ë¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤Ë
   Á÷ÉÕ¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤Ï¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò²òÀϤ·¤Æ, À©¸Â¤ò¤«¤±¤ë.
   
 ¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤ë¡£  ¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë.
   mathcap ¤Ï cmo ¤Î°ì¼ï¤Ç¤¢¤ë¤Î¤Ç, ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë
   \begin{quote}
   cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list})
   \end{quote}
   ¤Î¹½Â¤¤ò¤â¤Ä(\ref{sec:cmo} Àá¤ò»²¾È¤Î¤³¤È).
   ¥Ü¥Ç¥£¤Ï cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
   
   ¤µ¤Æ, mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤Î¥Ü¥Ç¥£¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤Î¾ò·ï
   ¤òËþ¤¿¤¹¤³¤È¤òÍ׵ᤵ¤ì¤ë.  ¤Þ¤º, ¤½¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï¾¯¤Ê¤¯¤È¤â
   ¥ê¥¹¥ÈŤ¬ 3 °Ê¾å¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 \begin{quote}  \begin{quote}
 ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£  (CMO\_LIST, {\sl int32}, {\sl cmo} $a$, {\sl cmo} $b$, {\sl cmo} $c$, $\ldots$)
 ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£  
 ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£  
 ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£ÀâÌÀ¡£  
 \end{quote}  \end{quote}
   
   Âè°ìÍ×ÁÇ $a$ ¤Ï¤Þ¤¿ cmo\_list ¤Ç¤¢¤ê, ¥ê¥¹¥ÈĹ¤Ï 4 °Ê¾å, $a_1$ ¤Ï
   cmo\_int32 ¤Ç¥Ð¡¼¥¸¥ç¥ó¤òɽ¤¹. $a_2$, $a_3$, $a_4$ ¤Ï cmo\_string ¤Ç¤¢¤ê,
   ¤½¤ì¤¾¤ì¥·¥¹¥Æ¥à¤Î̾Á°, ¥Ð¡¼¥¸¥ç¥ó, HOSTTYPE ¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
   \begin{quote}
   (CMO\_LIST, {\sl int32},
   {\sl cmo\_int32} $a_1$, {\sl cmo\_string} $a_2$, {\sl cmo\_string}
   $a_3$, {\sl cmo\_string} $a_4$, $\ldots$)
   \end{quote}
   
 {\large\bf ¤³¤ì¤è¤ê°Ê¹ß¤Ï°ÕÌ£ÉÔÌÀ¤Ç»ä¤Ë¤Ï¤è¤¯Ê¬¤«¤ê¤Þ¤»¤ó¤Ç¤·¤¿¤Î¤Ç¡¢  ÂèÆóÍ×ÁÇ $b$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë.
 ¤¿¤Ö¤óÆɼԤâʬ¤«¤é¤Ê¤¤¤Ç¤·¤ç¤¦}  ¤³¤Î $b_1$, $b_2$, $\ldots$, $b_n$ ¤Ï¤¹¤Ù¤Æ cmo\_int32 ¤Ç¤¢¤ë.
   \ref{sec:oxsm} Àá¤ÇÀâÌÀ¤·¤¿¤¬,
   ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ {\sl int32} ¤Çɽ¤µ¤ì¤Æ¤¤¤¿¤³¤È¤ËÃí°Õ¤·¤è
   ¤¦. ³Æ $b_i$ ¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ò¥Ü¥Ç¥£¤È¤·¤¿ cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤ë.
   \begin{quote}
   (CMO\_LIST, {\sl int32} $n$,
           {\sl cmo\_int32} $b_1$, {\sl cmo\_int32} $b_2$,
           $\ldots$, {\sl cmo\_int32} $b_n$)
   \end{quote}
   
 ¤Ê¤ª¡¢ mathcap ¥Ç¡¼¥¿¤ÎÃæ¤Ç¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë  Âè»°Í×ÁÇ $c$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 32 bit À°¿ô¡¢Ê¸»úÎ󡢥ꥹ¥È¹½Â¤¤¬»È¤ï¤ì¤Æ¤ª¤ê¡¢  \begin{quote}
 mathcap ¥Ç¡¼¥¿¤Ë´Þ¤Þ¤ì¤Æ¤¤¤ëÆâÍƤòÍý²ò¤Ç¤­¤ë¤¿¤á¤Ë¤Ï  (CMO\_LIST, {\sl int32} $m$,
 É¬Á³Åª¤Ë¤³¤ì¤é¤âÍý²ò¤Ç¤­¤ëɬÍפ¬¤¢¤ë          {\sl cmo\_list} $list_1$, {\sl cmo\_list} $list_2$,
 (¤Ã¤Æ¤³¤È¤Ï CMO ·Á¼°¤Î¤È¤³¤í¤Ç¤³¤ì¤é¤ò                  $\ldots$, {\sl cmo\_list} $list_m$)
 ÀâÌÀ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¤Ã¤Æ¤³¤È¤Ç¤¹)¡£  \end{quote}
   
 OpenXM ÂбþÈǤΠasir ¥µ¡¼¥Ð¤Ç¤¢¤ë ox\_asir ¤¬ÊÖ¤¹ mathcap ¤ò°Ê²¼¤Ë¼¨¤¹¡£  ¤É¤Î $list_i$ ¤â 1 ¤Ä°Ê¾å¤ÎÍ×ÁǤò»ý¤Ã¤Æ¤ª¤ê,
   1 ÈÖÌܤÎÍ×ÁǤÏɬ¤º cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
   ¤³¤ì¤Ï¼õ¤±¼è¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻Ҥò
   Æþ¤ì¤ë¤¿¤á¤Ç¤¢¤ë.
   ¤³¤³¤Ç¤Ï, OX\_DATA ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë.
   
 ¤Ê¤ª¡¢ $a_1$, $a_2$, $\cdots$, $a_n$ ¤òÍ×ÁÇ¤Ë  1 ÈÖÌܤÎÍ×ÁǤ¬ OX\_DATA ¤Î¾ì¹ç,
 »ý¤Ä¥ê¥¹¥È¹½Â¤¤ò {\tt [$a_1$, $a_2$, $\cdots$, $a_n$]} ¡¢  ¥ê¥¹¥È $list_i$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¹½Â¤¤È¤Ê¤Ã¤Æ¤¤¤ë.
 Ê¸»úÎó ``string'' ¤ò {\tt "string"} ¡¢ 32 bit À°¿ô¤ò  ³Æ $c_{ij}$ ¤Ï cmo\_int32 ¤Ç¤¢¤ê,
 ¤½¤ì¤ËÂбþ¤¹¤ë 10 ¿Ê¿ô¤ÎÀ°¿ô¤Ç¼¨¤¹¡£  ¼õ¤±¼è¤ë¤³¤È¤¬²Äǽ¤Ê CMO ·Á¼°¤Î¥¿¥°¤È¤Ê¤ë.
   \begin{quote}
   (CMO\_LIST, 2, (CMO\_INT32, OX\_DATA), \\
   \ \     (CMO\_LIST, {\sl int32} $k$,
                   {\sl cmo\_int32} $c_{i1}$, {\sl cmo\_int32} $c_{i2}$,
                           $\ldots$, {\sl cmo\_int32} $c_{ik}$))
   \end{quote}
   
 %¢­¼ê¤Çºî¤Ã¤¿¤Î¤Ç´Ö°ã¤¨¤Æ¤¤¤ë²ÄǽÀ­¤¢¤ê¡£  ¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦.  Ì¾Á°¤¬ ``ox\_test'', ¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼
 %%¸Å¤¤¥Ð¡¼¥¸¥ç¥ó¡£º¹¤·Âؤ¨¤ÎɬÍפ¢¤ê¡£  ¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç, PC-UNIX ¾å¤ÇÆ°¤¤¤Æ¤ª¤ê,
 \begin{verbatim}  ¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬Ì¿Îá SM\_popCMO, SM\_popString,
 [ [199901160,"ox_asir"],  SM\_mathcap, SM\_executeStringByLocalParser ¤òÍøÍѲÄǽ,
   [276,275,258,262,263,266,267,268,274  ¤«¤Ä cmo\_int32, cmo\_string, cmo\_mathcap, cmo\_list ¤Î¤ß¤ËÀ©¸Â¤·¤¿¤¤
     ,269,272,265,264,273,300,270,271],  ¤È¤­¤Î mathcap ¤Ï
   [ [514,[1,2,3,4,5,2130706433,2130706434  \begin{quote}
           ,17,19,20,21,22,24,25,26,31,27,33,60]],  (CMO\_LIST, 3, \\
     [2144202544,[0,1]]  \ \ (CMO\_LIST, 4, (CMO\_INT32, $199911250$), (CMO\_STRING, 7, "ox\_test"), \\
   ]  \ \ \ \         (CMO\_STRING, 9, "199911250"), (CMO\_STRING, 4, "i386")) \\
 ]  \ \ (CMO\_LIST, $5$, (CMO\_INT32, SM\_popCMO), \\
 \end{verbatim}  \ \ \ \         (CMO\_INT32, SM\_popString), (CMO\_INT32, SM\_mathcap), \\
   \ \ \ \         (CMO\_INT32, SM\_executeStringByLocalParser)) \\
   \ \ (CMO\_LIST, $1$, \\
   \ \ \ \ (CMO\_LIST, $2$, (CMO\_INT32, OX\_DATA), \\
   \ \ \ \ \ \ (CMO\_LIST, $4$, (CMO\_INT32, CMO\_INT32), \\
   \ \ \ \ \ \ \ \ (CMO\_INT32, CMO\_STRING), (CMO\_INT32, CMO\_MATHCAP), \\
   \ \ \ \ \ \ \ \ (CMO\_INT32, CMO\_LIST)))))
   \end{quote}
   ¤Ë¤Ê¤ë.
   
 ¤³¤Î mathcap ¥Ç¡¼¥¿¤Î¥ê¥¹¥È¹½Â¤¤ÏÂ礭¤¯Ê¬¤±¤Æ 3 ¤Ä¤ÎÉôʬ¤Ëʬ¤«¤ì¤ë¡£  
 ºÇ½é¤Î {\tt [199901160,"ox\_asir"]} ¤ÎÉôʬ¤Ë¤Ï¥µ¡¼¥Ð¤Î¾ðÊó¤¬Æþ¤Ã¤Æ¤¤¤ë¡£  
 %¤³¤ÎºÇ½é¤ÎÍ×ÁǤ¬¤Þ¤¿¥ê¥¹¥È¹½Â¤¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  
 ºÇ½é¤ÎÍ×ÁǤϥС¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢¼¡¤ÎÍ×ÁǤϥµ¡¼¥Ð¤Î̾Á°¤òɽ¤·¤Æ¤¤¤ë¡£  
   
 ¼¡¤Î {\tt [276,275,$\cdots$,271]} ¤ÎÉôʬ¤Ï  
 ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤Î¤¦¤Á¡¢ÍøÍѲÄǽ¤ÊÌ¿Îá¤Î¼ïÎà¤òɽ¤·¤Æ¤¤¤ë¡£  
 ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Çɽ¤·¤Æ¤ª¤ê¡¢  
 ¤³¤Î¥ê¥¹¥È¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ËÂбþ¤¹¤ë 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Î¥ê¥¹¥È¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
   
 ºÇ¸å¤Î {\tt [ [514,[1,2,3,$\cdots$,60]],[2144202544,[0,1]] ]} ¤ÎÉôʬ¤Ï  
 Íý²ò²Äǽ¤Ê¥Ç¡¼¥¿¤Î·Á¼°¤òɽ¤·¤Æ¤¤¤ë¡£  
 ¤³¤ÎÉôʬ¤Ï¤µ¤é¤Ë {\tt [514,[1,2,3,$\cdots$,60]]} ¤È  
 {\tt [2144202544,[0,1]]} ¤Ë¤ÎÉôʬ¤Ëʬ¤±¤ë¤³¤È¤¬¤Ç¤­¡¢  
 ¤½¤ì¤¾¤ì¤¬°ì¤Ä¤Î¥Ç¡¼¥¿·Á¼°¤Ë¤Ä¤¤¤Æ¤Î¾ðÊó¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤É¤Î¥Ç¡¼¥¿·Á¼°¤Ë¤Ä¤¤¤Æ¤Î¾ðÊ󤫤Ϻǽé¤ÎÍ×ÁǤˤ¢¤ëÀ°¿ôÃͤò¤ß¤ì¤Ð  
 Ê¬¤«¤ë¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤³¤ÎÀ°¿ôÃÍ¤Ï CMO ·Á¼°¤Ç¤Ï 514 ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ºÇ½é¤Î¥Ç¡¼¥¿·Á¼°¤ò¶èÊ̤¹¤ëÀ°¿ôÃͰʸå¤ÎÍ×ÁÇ¤Ï  
 ³Æ¥Ç¡¼¥¿·Á¼°¤Ë¤è¤Ã¤Æ¤É¤Î¤è¤¦¤Ë»È¤ï¤ì¤ë¤«Äê¤Þ¤Ã¤Æ¤¤¤ë¡£  
 CMO ·Á¼°¤Ç¤ÏÍý²ò²Äǽ¤Ê¥Ç¡¼¥¿¤Î¥¿¥°¤¬¥ê¥¹¥È¤ÎÃæ¤Ë¼ý¤Þ¤Ã¤Æ¤¤¤ë¡£  
 Á°Àá¤Ç CMO ·Á¼°¤Ç¤Ï¿ÇÜĹÀ°¿ô¤òɽ¤¹¥¿¥°¤¬ 20 ¤Ç¤¢¤ë¤³¤È¤ò½Ò¤Ù¤¿¤¬¡¢  
 ¤³¤Î¥ê¥¹¥È¤Ë 20 ¤¬´Þ¤Þ¤ì¤Æ¤¤¤ë¤Î¤Ç¡¢  
 ox\_asir ¤Ï CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤ò¼õ¤±¼è¤ì¤ë¤³¤È¤¬¤ï¤«¤ë¡£  
   
 ¤Ê¤ª¡¢¥Ç¡¼¥¿¤¬¼õ¤±¼è¤ì¤ë¤³¤È¤È¡¢  
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 Ãí°Õ¤¹¤ëɬÍפ¬¤¢¤ë¡£  
   
   
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 Â¾¤Î¥×¥í¥¸¥§¥¯¥È¤Ë¤Ä¤¤¤Æ¤â¿¨¤ì¤Æ¤ª¤³¤¦¡£  Â¾¤Î¥×¥í¥¸¥§¥¯¥È¤Ë¤Ä¤¤¤Æ¤â¿¨¤ì¤Æ¤ª¤³¤¦.
   
 OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò  \begin{itemize}
 ¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊýË¡¤ò·èÄꤷ¤Æ¤¤¤ë¡£  \item ESPRIT OpenMath Project
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 É½¸½ÊýË¡¤Ï°ì¤Ä¤À¤±¤Ç¤Ê¤¯¡¢ XML ɽ¸½¤ä binary ɽ¸½¤Ê¤É¤¬  
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 ¾ÜºÙ¤Ï  
   
 http://www.openmath.org/omsoc/index.html A.M.Cohen  http://www.openmath.org/omsoc/
   
   ¿ô³ØŪÂоݤΠSGML Ūɽµ­¤Îɸ½à²½¤òÌܻؤ·¤¿Â絬ÌÏ¤Ê¥×¥í¥¸¥§¥¯¥È. °Û¤Ê¤ë¼ï
   Îà¤Î¿ô¼°½èÍý¥·¥¹¥Æ¥à¤Î´Ö¤Ç¾ðÊó¤ò¸ò´¹¤¹¤ë¤È¤­¤Ë, OpenMath ¤ÇÄêµÁ¤µ¤ì¤¿É½
   ¸½¤òÍøÍѤ¹¤ë¤³¤È¤¬¤Ç¤­¤ë.  ¼ÂºÝ¤Î¾ðÊó¸ò´¹¤Î¼ê³¤­¤Ë¤Ï¤¤¤í¤¤¤í¤Ê¤â¤Î¤¬¹Í
   ¤¨¤é¤ì¤ë¤¬, Î㤨¤Ð MCP (Mathematical Computation Protocol) ¤Ê¤ë¼ê³¤­¤¬
   ¹Í°Æ¤µ¤ì¤Æ¤¤¤ë.  MCP ¤Ë¤è¤Ã¤ÆÁ÷¿®¤µ¤ì¤ë¥Ç¡¼¥¿¤Ï, ËÜʸ¤Ë OpenMath ·Á¼°¤Ç
   ¿ô¼°¤òµ­½Ò¤·¤¿¥Æ¥­¥¹¥È¤Ç, ¤¤¤µ¤µ¤«¥á¥¤¥ë¤Ë»÷¤Æ¤¤¤Ê¤¯¤â¤Ê¤¤.  ¼ÂºÝ¤Ë¤³¤Î
   ÊýË¡¤Ç GAP ¤È Axiom ¤Î´Ö¤ÇÄÌ¿®¤¬¹Ô¤ï¤ì¤Æ¤¤¤ë.
   
 °Ê²¼¤Ï½ñ¤¤¤Æ¤ëÅÓÃæ¡£  \item NetSolve
   
 NetSolve  
   
 http://www.cs.utk.edu/netsolve/  http://www.cs.utk.edu/netsolve/
   
   NetSolve ¤Ï¥¯¥é¥¤¥¢¥ó¥È¡¦¥µ¡¼¥Ð·¿¤Îʬ»¶¥·¥¹¥Æ¥à¤Ç¤¢¤ê, ñ¤Ê¤ë·×»»¥·¥¹¥Æ
   ¥à°Ê¾å¤Î¤â¤Î¤òÌܻؤ·¤Æ¤¤¤ë.  ¥¯¥é¥¤¥¢¥ó¥È¤ÏɬÍפ˱þ¤¸¤Æ, ¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð
   ¤·¤Æ·×»»¤ò¤µ¤»¤ë.  NetSolve ¤ÎÆÃħ¤Ï, ¥µ¡¼¥Ð¤Î¸Æ¤Ó½Ð¤·¤Ë Agent ¤È¤¤¤¦¥½
   ¥Õ¥È¥¦¥§¥¢¤ò²ðºß¤µ¤»¤ë¤³¤È¤Ç¤¢¤ë.  Agent ¤Ï¸Æ¤Ó½Ð¤·Àè¤Ê¤É¤ò·èÄꤹ¤ë¥Ç¡¼
   ¥¿¥Ù¡¼¥¹ÅªÌò³ä¤ò²Ì¤¿¤¹.  ¤Þ¤¿ Agent ¤Ë¤è¤Ã¤ÆÉé²Ùʬ»¶¤¬²Äǽ¤Ë¤Ê¤ë.  ¸½ºß
   ¤Î NetSolve ¤Ï RPC ¤ò´ðÁäˤ·¤Æ¼ÂÁõ¤µ¤ì¤Æ¤¤¤ë.
   
 MP  \item MP
   
 http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html  http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html
   
   ²Ê³Øµ»½Ñ·×»»¤ò¹Ô¤Ê¤¦¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤ò¸úΨŪ¤Ë¸ò´¹
   ¤µ¤»¤ë¤³¤È¤òÌÜŪ¤È¤·¤¿¥×¥í¥È¥³¥ë¤òºîÀ®¤·¤Æ¤¤¤ë. ÌÚ¹½Â¤¤òÍѤ¤¤Æ
   ´Êñ, ¤«¤Ä½ÀÆð¤Ê¤â¤Î¤òÌܻؤ·¤Æ¤ª¤ê, ¥Ç¡¼¥¿¤Îɽ¸½ÊýË¡¤ä¸ò´¹ÊýË¡¤Ë
   Éé¤ï¤º¤Ë¥½¥Õ¥È¥¦¥§¥¢¤òºî¤ë¤³¤È¤¬¤Ç¤­¤ë¤è¤¦¤Ë¤·¤è¤¦¤È¤·¤Æ¤¤¤ë.
   ¸½ºß¤¹¤Ç¤Ë, C ¸À¸ì¤ÇÍøÍѲÄǽ¤Ê¥é¥¤¥Ö¥é¥ê¤¬Ä󶡤µ¤ì¤Æ¤¤¤ë.
   
 MCP  \item MCP
   
 http://horse.mcs.kent.edu/~pwang/  http://horse.mcs.kent.edu/\~{}pwang/
   
   ¿ô³ØŪ¤Ê·×»»¤ò¹Ô¤Ê¤¦¤¿¤á¤Î HTTP ¥¹¥¿¥¤¥ë¤Î¥×¥í¥È¥³¥ë.
   ¥¯¥é¥¤¥¢¥ó¥È¡¦¥µ¡¼¥Ð¥â¥Ç¥ë¤òºÎÍѤ·¤Æ¤ª¤ê,
   ¥Ô¥¢¥Ä¡¼¥Ô¥¢¤Î¥¹¥È¥ê¡¼¥à¥³¥Í¥¯¥·¥ç¥ó¤ò¹Ô¤Ê¤¦.
   ¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò MP ¤ä MathML ¤ÇÄê¤á¤é¤ì¤¿ÊýË¡¤Ç
   É½¸½¤¹¤ë¤³¤È¤¬¹Í¤¨¤é¤ì¤Æ¤¤¤ë.
   ¤¹¤Ç¤Ë OpenMath ¤òÍѤ¤¤¿¼ÂÁõ¤¬Â¸ºß¤¹¤ë.
   
   
   \end{itemize}
   
   
 \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢}  \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢}
   
 ¸½ºß OpenXM µ¬³Ê¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ï  ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬¤¢¤ë.
 asir, sm1, Mathematica ¤¬¤¢¤ë¡£  ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È
 ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é  ¤¬¤Ç¤­¤ë. ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï, asir,
 OpenXM µ¬³Ê¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È¤¬¤Ç¤­¤ë¡£  sm1, gnuplot, Mathematica, PHC pack ¤Ê¤É¤¬¤¢¤ê,
 ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢  ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math, ox\_sm1\_phc
  asir, sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢  ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë. ¤Þ¤¿, OpenMath
 ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_math ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£  µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹
 ¤Þ¤¿¡¢ OpenMath µ¬³Ê¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥Ç¡¼¥¿¤È CMO ·Á¼°¤Î  ¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê, OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ
 ¥Ç¡¼¥¿¤òÊÑ´¹¤¹¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢  ¤ì¤Æ¤¤¤ë.
 OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£  
   
 \begin{thebibliography}{99}  \begin{thebibliography}{99}
 \bibitem{OpenXM-1999}  
 ÌîϤÀµ¹Ô, ¹â»³¿®µ£:  
 {Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics},  
 1999/11/22  
 \bibitem{Ohara-Takayama-Noro-1999}  \bibitem{Ohara-Takayama-Noro-1999}
 ¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô:  ¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô:
 {Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo).          {Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý,
           Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo).
   
   \bibitem{OpenXM-1999}
   ÌîϤÀµ¹Ô, ¹â»³¿®µ£:
           {Open XM ¤ÎÀ߷פȼÂÁõ
                   --- Open message eXchange protocol for Mathematics},
           1999/11/22
 \end{thebibliography}  \end{thebibliography}
   
 \end{document}  \end{document}

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